well, if a value goes from 88 to 20, it clearly decreased, hmmm 88 - 20 = 68, by 68 units.
so if we take 88(origin amount) to be the 100%, what's 68 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 88 & 100\\ 68& x \end{array} \implies \cfrac{88}{68}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 22 }{ 17 } ~~=~~ \cfrac{ 100 }{ x }\implies 22x=1700\implies x=\cfrac{1700}{22}\implies x\approx 77.3[/tex]
Select all factors of the expression 7x³ - 28xy²
Answer:
7 and 7x
Step-by-step explanation:
We distributing these factors are the only that can make sense
In stabilizing selection, what occurs in a population?a. The population shifts toward one of two extreme phenotypes.b. Both extreme phenotypes shift toward the middle.c. The intermediate phenotype becomes more common.d. The intermediate phenotype becomes rare.
In stabilizing selection, option (d) The intermediate phenotype becomes rare.
Stabilizing selection occurs when individuals with extreme phenotypes are at a disadvantage, and individuals with intermediate phenotypes have a greater chance of survival and reproduction.
This means that over time, the population shifts towards the intermediate phenotype. Let's take an example to explain this concept.
Suppose we have a population of rabbits with different fur colors, ranging from white to dark brown. Predators are more likely to spot white rabbits in a snowy environment, while brown rabbits are more likely to be seen in a forest environment. This means that the extreme phenotypes (white and dark brown) are at a disadvantage, while the intermediate phenotype (light brown) is more likely to survive and reproduce. Over time, the population will shift towards the light brown phenotype, as it is the most advantageous trait.
In conclusion, stabilizing selection is a mechanism of natural selection that promotes the preservation of the average characteristics of a population. It occurs when individuals with intermediate phenotypes have a higher chance of survival and reproduction, leading to the shift of the population towards the intermediate phenotype. Mathematically, we can represent this concept using the mean and standard deviation of a population.
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Find the equation of the line that passes through (3,1) and is parallel to y=3−2x
Answer:
87654321
Step-by-step explanation:
(x-3)(3x-5) Expressed as a trinomial.
The expression can be written as the trinomial below.
3x2 - 14x + 15
How to write this as a trinomial?Here we just need to expand the expression:
(x - 3)*(3x - 5)
Just expanding that product we will get:
(x - 3)*(3x - 5)
x*(3x) - 3*(3x) + x*(-5) - 3*(-5)
3x^2 - 9x - 5x + 15
3x2 - 14x + 15
So we have 3 terms now, thus, this is a trinomial.
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Which value of x is a solution to this equation?
3x2 minus 30x minus 72 = 0
A
x = negative12
B
x = negative4
C
x = negative2
D
x = negative6
The solution to the equation 3x2 - 30x - 72 = 0 is x = -4 and x = -12.
3x2 - 30x - 72 = 0
3x2 - 30x = 72
3x2 - 24x = 90
3x2 - 24x + 18x = 90 + 18x
3x(x - 8) = 108
x(x - 8) = 36
x = 36 or x = 8
x = -12 or x = -4
The equation 3x2 - 30x - 72 = 0is a second-degree polynomial equation with two solutions. To solve this equation, first use the distributive property to factor out 3x from the first two terms. This yields 3x(x - 8) = 108. Then divide both sides of the equation by 3 to get x(x - 8) = 36. From here, use the quadratic formula to solve for x. This yields x = 36 or x = 8. Since the equation was given in terms of x2, the two solutions are x = -12 and x = -4. To confirm this, substitute these values into the original equation and check that it is true.
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The parent function f(x)=√x and a transformation of the parent function g(x) are reflections of each other over the x-axis. Write the function g(x).
g(x) =
Answer: If the transformation of the parent function f(x) = √x is a reflection over the x-axis, it means that the graph of the transformed function g(x) is obtained by reflecting the graph of f(x) over the x-axis.
The reflection of the function f(x) over the x-axis is obtained by negating its output, so the function g(x) can be written as:
g(x) = -√x
So the transformed function g(x) is a reflection of the parent function f(x) = √x over the x-axis.
Step-by-step explanation:
Question 1(Multiple Choice Worth 2 points)
(Scale Factor MC)
A toy company is building dollhouse furniture. A rectangular door of a dollhouse has a height of 7 centimeters and a width of 3 centimeters. What is the perimeter of the door on a scale drawing that uses the scale 3:5?
33 cm
20 cm
14 cm
12 cm
Question 2(Multiple Choice Worth 2 points)
(Scale Factor MC)
A picture is 7 inches wide and 9 inches long. A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long. What scale factor was used to enlarge the picture?
9 over 7
7 over 9
31.5 over 7
7 over 31.5
Question 3(Multiple Choice Worth 2 points)
(Scale Factor LC)
Figure 1 and figure 2 are right triangles.
two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 4 units long
What scale factor was used to produce Figure 2 from Figure 1?
3
4
3 over 4
4 over 3
Question 4(Multiple Choice Worth 2 points)
(Scale Factor MC)
A triangle with a perimeter of 24 meters was created from a triangle with a perimeter of 3 meters using a scale factor. What is the scale factor?
8:1
28:1
32:1
72:1
Question 5(Multiple Choice Worth 2 points)
(Scale Factor MC)
A rectangular flag is 80 centimeters by 92 centimeters. What are the dimensions of a scale drawing of the flag using the scale 1:4?
20 cm by 23 cm
320 cm by 360 cm
8 cm by 9.2 cm
1.15 cm by 4.35 cm
Question 6 (Essay Worth 4 points)
(Scale Factor HC)
A rectangular oil painting is 14 inches wide and 24 inches long. A museum wants to create a larger print of the painting using a scale factor of 3.
Part A: What are the dimensions of the print, in feet? Show every step of your work. (2 points)
Part B: What is the area of the print, in square feet? Show every step of your work. (2 points)
6. Write the equation of a circle whose center is (0,.-5) and radius is 7.
The equation of a circle whose center is (0,.-5) and radius is 7 as required is; (x - 0)² + (y + 5)² = 7².
What is the equation of the given circle?It follows from circle equations that; (x - a)² + (y - b)² = r² represents the equation of a circle whose center is; (a, b) and radius is; r.
Hence, for the given circle whose center is (0,.-5) and radius is 7.
(x - 0)² + (y + 5)² = 7²
Therefore, it can be inferred that the equation of the circle in discuss is; (x - 0)² + (y + 5)² = 7².
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Which of the following shows
-3x² + 4(x - 2) = 7x(3 - x) + 1 in
standard form?
A. -7x² + 21x + 1 = 0
B. -3x² - 10x - 9 = 0
C. -3x²+ 4x - 8=0
D. 4x² - 17x-9=0
The equation in standard form is D. 4x² - 17x-9=0
How to determine the equationTo make an equation into standard form is to equate the terms and factors to zero.
Given the expression;
-3x² + 4(x - 2) = 7x(3 - x) + 1
expand the bracket
-3x² + 4x - 8 = 21x - 7x² + 1
Now, collect the like terms
-3x² + 7x² + 4x - 21x = 1 + 8
Add or subtract the like terms
4x² - 17x = 9
Equate equation to zero, we get;
4x² - 17x - 9 = 0
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A and be are both negative integers with a>b. Classify these are true or false. A) b
The statement "sum of a and b integers is a negative integer" is true given that A and B are both negative integers and A is greater than B.
When we add two negative integers, the sum is always negative. This is because adding a negative number is the same as subtracting its absolute value. Therefore, if A and B are negative integers, then A + B will be negative as well.
Since A > B, the sum A + B will be closer in value to A than to B. However, it will still be negative because A and B are both negative integers.
So, the sum of A and B is a negative integer, and the statement is true.
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____ The given question is incomplete, the complete question is given below:
A and B are both negative integers with a>b. Classify this are true or false. sum of a and b integers is a negative integer.
Hassan is twice as old as Ali. Their ages add up to 39 years. How old is: (a) Ali, (b) Hassan?
Tyler built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box. What is the surface area, in square inches, of the toy box?
Answer:482 in ^2
Step-by-step explanation:
What is the factored form of this expression? x^2 + 9x + 16
Answer:
The first term is, x2 its coefficient is 1 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is -9 .
-16 + -1 = -17
-8 + -2 = -10
-4 + -4 = -8
-2 + -8 = -10
-1 + -16 = -17
1 + 16 = 17
2 + 8 = 10
4 + 4 = 8
8 + 2 = 10
16 + 1 = 17
I really need help again! There's only two more questions. I'll give you 5 points for each picture question, so that means I'll give you 10 pionts.
Answer:
1. 285 centiliters
2. yards-->inches-->centimeters
Step-by-step explanation:
What shape do u expect the graph of the function described by 3x + 7y =8
Answer: A linear function with a line heading toward negative infinity as x approaches infinity and with a y-int at (0,8/7)
Step-by-step explanation:
The line will be linear as you rearrange the function to be y=
You would do this by moving the 3x over to the right side by subtracting both sides by 3x, giving you 7y=-3x+8. From here, you get y by itself by dividing both sides by 7. Giving a final function of [tex]y=-\frac{3}{7} x+\frac{8}{7}[/tex]
A repairman charges an inspection fee plus $14 per hour. A customer with a coupon for 40% off the inspection fee pays $66 for a 3-hour repair. How many hours are worked when a customer pays $96 without a coupon?
The customer had a 3-hour repair when paying $96 without a coupon.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
With a coupon, the customer paid $66 for a 3-hour repair.
The coupon gives a 40% discount on the inspection fee, so let's call the original inspection fee "x". Then the customer paid 0.6x + 14*3 = $66.
Solving for x, we get x = $30.
Without a coupon, the customer paid $96.
We want to find out how many hours of repair were done for $96.
Let's use a similar equation to solve for the number of hours:
Let's call the number of hours "h". Then the customer paid 30*0.6 + 14h = $96.
Solving for h, we get h = 3.
Therefore, the customer had a 3-hour repair when paying $96 without a coupon.
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help i will mark as brainliest i promise
The two-column table that can be used to prove the congruence relationships between the segments of the triangles are presented as follows;
Statement [tex]{}[/tex] Reasons
1. [tex]\overline{KN}[/tex] ≅ [tex]\overline{MN}[/tex] [tex]{}[/tex] Given
[tex]\overline{NL}[/tex] bisects ∠KNM [tex]{}[/tex]
2. ∠KNL ≅ ∠MNL [tex]{}[/tex] Definition of bisected angle
3. [tex]\overline{NL}[/tex] ≅ [tex]\overline{NL}[/tex] [tex]{}[/tex] Reflexive property
4. ΔKNL ≅ ΔMNL [tex]{}[/tex] SAS congruence rule
5. [tex]\overline{KL}[/tex] ≅ [tex]\overline{ML}[/tex] [tex]{}[/tex] CPCTC
6. KL = ML [tex]{}[/tex] Definition of congruence
C.
[tex]{}[/tex] Statement [tex]{}[/tex] Reasons
1. [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex], [tex]\overline{AE}[/tex] ≅ [tex]\overline{DE}[/tex] Given
2. ∠AEB ≅ ∠CED [tex]{}[/tex] Vertical angles theorem
3. ΔABE ≅ ΔCED [tex]{}[/tex] SAS congruence rule
4. [tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex] [tex]{}[/tex] CPCTC
What are congruent segments?Congruent segments are segments that have the same lengths.
The details of the reasons used to prove the equivalence of sides KL and ML and the congruence of the segments [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are presented as follows;
Definition of bisected angles
Bisected angles are angles that are split in two angles of the same measure by a segment passing through their vertex.
Reflexive property
The reflexive property of congruence states that a segment is congruent to itself.
SAS congruence rule
The SAS, Side-Angle-Side congruence rule states that if two sides and an included angle of a triangle are congruent to two sides and an included angle in another triangle, then the two triangles are congruent.
CPCTC
CPCTC is an acronym for Corresponding Parts of Congruent Triangles are Congruent.
Definition of congruence
Geometric figures, such as segment, angles and shapes are congruent when their sizes and measurements are the same.
Vertical angles theorem
The vertical angles theorem states that vertical angles formed by the intersection of two lines are congruent
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exponential equations solve for x using the k method X⅔ + X⅓ -6=0
The value of x in the equation is 8 or -27
What is exponential equation?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex.
X^2/3 + X^1/3 -6 = 0
= X^1/3(2) + X^1/3 -6 = 0
represent X^1/3 by K
= K²+k-6 = 0
(K +3k )(-2k -6)= 0
k(3+k) -2(k+3) = 0
(k+3)(k-2) = 0
k+3 = 0
k -2 = 0
k = -3 or 2
since K = x^1/3
when k =-3
-3 = x^1/3
x = -3³ = -27
when k = 2
x = 2³ = 8
therefore the value of x is -27 or 8
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Which properties justify the steps taken to solve the system {2a+7b=0 3a-5b=31
Drag the awnsers into the boxes to match each step ASAP
The properties justify the steps are taken to solve the system 2a+7b=0 3a-5b=31 as Multiplication, Substraction, Division, Simplify, etc.,
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.
'The properties that justify the steps taken to solve the system 2a + 7b = 0, 3a - 5b = 31 are:
2a + 7b = 0, 3a - 5b = 31
10a + 35b = 0, 21a - 35b = 217 <-------> Multiplication property of equality.
31a = 217 <-------> Substraction property of equality.
a = 7 <-------> Division property of equality.
2(7) + 7b = 0, <-------> Substitution property of equality.
14 + 7b = 0, <-------> Simplify
7b = -14, <-------> Simplify
b = -14/7, <-------> Division property of equality.
b = -2
Therefore, the properties justify the steps are taken to solve the system 2a+7b=0 3a-5b=31 as Multiplication, Substraction, Division, Simplify, etc.,
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The regular price for a certain bicycle is
$125.00. If that price is reduced by 20%, what is the new price?
Answer:
The new price is $100.
Step-by-step explanation:
20% of $125 = 0.2 × 125 = $25
New price = Regular price - Discount
New Price = $125 - $25 = $100
Josh’s backpack can hold at most 35 pounds. His science textbook weighs 8 pounds, his math textbook weighs 4 pounds, and his binder weighs 2 pounds. He has three more textbooks, how much can each one weigh?
Answer:
7
Step-by-step explanation:
35-8-4-2=21
21/3=7
Answer:
7 pounds
Step-by-step explanation:
8+4+2=14
35-14=21
21/3=7
PLEASE HELP ME WITH THIS PLEASE PLEASE PLEASE. I NEED IT BY THURSDAY. PLEASE HELP ME PLEASE... IT IS A MATH PROBLEM. I WILL GIVE 30 POINTS!!!
Answer:
15
Step-by-step explanation:
You want the sum of the numbers in the diagram that belong to exactly 3 circles.
EliminationWe find it easier to eliminate numbers that do not belong to 3 circles. In the attachment, the red lines strike through numbers belonging to 1 circle, the blue lines strike numbers belonging to 2 circles, and the green line strikes the number belonging to 4 circles. (The numbers inside the smallest circle are also in the larger circle surrounding it.)
The numbers that are in 3 circles only are 1, 3, 11. Their sum is 15.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the total cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours?
The equation of the total cost is C = 3 + 5x and the amount earned after 5 hours is $28.
What is an equation?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.
Let us suppose the number of hours = x.
The cost of additional hour is $5.
The cost of x hours is 5x.
Given that, Nicole charges a flat fee of $3, plus $5 per hour.
C = 3 + 5x
If she baby sits for 5 hours, that is x = 5, then:
C = 3 + 5(5)
C = 3 + 25
C = $28
Hence, the equation of the total cost is C = 3 + 5x and the amount earned after 5 hours is $28.
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Which values from the specified set make up the solution set of the inequality? 5w–10>20 ; {5,6,7,8} Select each correct answer. Responses 5 5 6 6 7 7 8 8 I WILL GIVE BRAIN THINK JUST HELP HURRY PLEASE
Answer:
Step-by-step explanation:
10
Bronze is a mixture of copper and tin. The copper and tin are mixed in the ratio 9:1 by weight.
a. How much copper is there in a bronze brooch weighing 360 g?
b. Another bronze brooch contains 670.5g of copper.
How much does it weigh altogether?
a. The amount of copper in a bronze brooch weighing 360g is 216g.
b. The total weight of the bronze brooch is 745g.
What is the ratio of two items?If an item is made of two different items, the ratio of the quantities of those two items contributes to the amount of the compound item. With the help of that ratio, the unknown quantity can be determined.
a.
The ratio of copper to tin in bronze is 9:1.
So, the portion of copper in the bronze is 9 out of 10, that is, 0.9.
The total weight of the bronze brooch is 360g.
Find the amount of copper in that brooch.
360×0.9=324
Therefore, the copper in a 360g bronze brooch is 324g.
b.
The amount of copper in the bronze brooch is 670.5g.
Also, the portion of copper in the bronze is 0.9.
Let, the total weight of the bronze brooch is Xg.
So, the equation becomes 0.9X=670.5.
Find the value of X.
0.9X=670.5
X=745
Therefore, the total weight of the bronze brooch is 745g.
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On the following scale drawing, the scale is 2 centimeters-1 meter.
1. Make a new scale drawing of this rectangular figure using the scale 3 centimeters-1 meter. Make sure to label the
new dimensions.
2. What are the actual dimensions of the figure?
7.8 cm
4.2 cm
The actual dimensions of the figure is 3.9 x 2.1
What is the scale factor ?Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.
For example, Two spheres look similar but could have different radii.
For the first dimension of 7.8 cm, we can set up a proportion using the scale factor:
2 cm : 1 m = 7.8 cm : x
where x is the actual length we want to find.
Solving for x, we get:
x = (7.8 cm x 1 m) / 2 cm
x = 3.9 m
Therefore, the first actual dimension is 3.9 meters.
For the second dimension of 4.2 cm, we can use the same method:
2 cm : 1 m = 4.2 cm : y
where y is the actual width we want to find. Solving for y, we get:
y = (4.2 cm x 1 m) / 2 cm
y = 2.1 m
Therefore, the second actual dimension is 2.1 meters.
So the actual dimensions of the figure are 3.9 meters by 2.1 meters.
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You deposit $200 each month into an account earning 1.25% interest compounded monthly.
How much will you have in the account in 20 years?
How much total money will you put into the account?
How much total interest will you earn?
Answer:
Step-by-step explanation:
The interest rate of 1.25% compounded monthly means that the interest earned each month is 1.25% of the current balance. Here's how you can calculate the final balance in the account after 20 years:
First, calculate the interest earned each month: $200 * 1.25% = $2.50
Then, add the interest earned to the monthly deposit to get the new balance: $200 + $2.50 = $202.50
Repeat this process for 240 months (20 years x 12 months/year).
The final balance in the account after 20 years would be approximately $71,934.24.
To find the total money you will put into the account, simply multiply the monthly deposit by the number of months: $200 * 240 = $48,000.
To find the total interest earned, subtract the initial deposit from the final balance: $71,934.24 - $48,000 = $23,934.24
So, in 20 years, you will have put a total of $48,000 into the account, and you will have earned a total of $23,934.24 in interest.
NEED HELP PLEASE I GIVE 10 PONITS
A student club has a goal to raise $750 to buy new books for a library. In the first week, the club raised 30% of its goal. In the second week, the club raised 12% of its goal. How much did the club raise in the first and second weeks? Enter your answer in the box.
Students raised $225 in the first week and $90 in the second week.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a student club has a goal to raise $750 to buy new books for a library.
In the first week, the club raised 30% of its goal.
Now, 30% of 750
= 30/100 ×750
= 3×75
= $225
In the second week, the club raised 12% of its goal.
Now, 12% of 750
= 12/100 ×750
= 0.12×750
= $90
Hence, students raised $225 in the first week and $90 in the second week.
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Each week, Desiree earns $925 and pays $149 in payroll tax. How long does it take Desiree to earn at least $3000 after taxes?
Each week, Desiree earns $925 and pays $149 in payroll tax it will take Desiree at least 4 weeks to earn at least $3000 after taxes.
What is Gross earning ?
Gross earnings refer to the total amount of money that an individual earns before any deductions are taken out. These earnings can include regular salary or wages, as well as any bonuses, tips, or commissions that are earned. Gross earnings are usually reported on a paycheck or pay stub, and may be subject to various taxes and other deductions.
Desiree's net earnings after payroll tax can be calculated by subtracting the tax amount from her gross earnings:
Net Earnings = Gross Earnings - Payroll Tax
Net Earnings = $925 - $149
Net Earnings = $776
To earn at least $3000 after taxes, Desiree needs to earn a total of:
Total Earnings = $3000 + Payroll Tax
Total Earnings = $3000 + $149
Total Earnings = $3149
We can now set up an equation to solve for the number of weeks, x, it will take for Desiree to earn at least $3149:
Net Earnings per week * Number of Weeks = Total Earnings
$776 * x = $3149
Solving for x:
x = $3149 / $776
x = 4.05
Therefore, it will take Desiree approximately 4.05 weeks to earn at least $3000 after payroll tax. Since you can't earn partial weeks, we can round up to 5 weeks to ensure that Desiree has earned at least $3000.
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What is 136-117? Please help me.
Answer:
the answer is 19!
To make it easier you can also use an online calculator or if you have one in real life you can use it! You can also do it on paper!
Have a great day! :) <3
