Answer:
She gives 40 dollars to each friend.
The variable that you are trying to find is the amount of cash she gives to each friend. In the below equation, I call it x.
The equation is x = (360/6) - 20.
Step-by-step explanation:
1. Let the variable be x be the amount of cash Audrey gives to each friend.
2. The equation is 6x + 20 = 360.
3. The solutions is x = 57.
4. Audrey gives each friend $57 in cash along with a $20 gift card to their favorite store during the holiday season.
5. The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.
The solution should be rounded to the nearest dollar, making it $57 per friend.
We have,
1.
Let's define the variable "x" as the amount of cash Audrey gives to each of her 6 closest friends.
2.
Since Audrey spends the same amount of money on each friend, the equation can be written as:
6x + 20 = 360
3.
Solve the equation:
Subtract 20 from both sides to isolate the term with "x":
6x = 360 - 20
6x = 340
Now, divide both sides by 6 to solve for "x":
x = 340 / 6
x = 56.67 (rounded to two decimal places)
4.
The solution, x = 56.67, means that Audrey gives each of her 6 closest friends approximately $56.67 in cash along with a $20 gift card to their favorite store during the holiday season.
5.
The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.
In real-life situations, the cash given should be a whole dollar amount, not a fractional value like 56.67.
Therefore, the solution should be rounded to the nearest dollar, making it $57 per friend.
Thus,
1. Let the variable be x be the amount of cash Audrey gives to each friend.
2. The equation is 6x + 20 = 360.
3. The solutions is x = 57.
4. Audrey gives each friend $57 in cash along with a $20 gift card to their favorite store during the holiday season.
5. The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.
The solution should be rounded to the nearest dollar, making it $57 per friend.
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Let f(x)=12x+7. Use algebra to find the inverse function f^-1(x).
Step-by-step explanation:
Replace x with y and y with x.
Then, try to isolate the y.
x=12y+7
x-7=12y
(x-7)/12=y
f^-1(x)=(x-7)/12
"a number is no more than 26"
Answer:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25
Refer to the number line. Find the coordinate of point X such that the ratio of MX to XJ is 3:1.
The coordinate of point X such that the ratio of MX to XJ is 3:1 is 12
How to determine the coordinate of point X?The coordinates are given as:
M = 2
J = 18
The ratio is given as:
Ratio = 3 : 1
The location of the point X is then calculated as:
X = Ratio * (J - M)
This gives
X = 3/(3 + 1) * (18 - 2)
Evaluate
X = 3/4* 16
This gives
X = 12
Hence, the coordinate of point X such that the ratio of MX to XJ is 3:1 is 12
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Step-by-step explanation:
show how to work out the question
I need help please….
enter the correct letters in the boxes on the left with the negative statements on the right
E Apples make good pies A seven is not a prime number
F the sun is hot today B a line does not contain at least two points
D 3+2=7 C a right angle does not measure < 90degre
C a right angle measure < 90 D 3+2[tex]\neq[/tex]7
A seven is a prime number E apples does not make good pies
B a line contain at least two points F the sun is not hot today
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what is the area of the rectangle?
Width;
4x-1 ,
Top length;
2x+17
Bottom Length;
6x+9 .
Please help
==============================================================
Explanation:
Recall that the opposite sides of any rectangle are the same length.
This means the top and bottom sides are the same length
top = bottom
2x+17 = 6x+9
2x-6x = 9-17
-4x = -8
x = -8/(-4)
x = 2
Then we can find each side:
width = 4x-1 = 4*2-1 = 8-1 = 7top = 2x+17 = 2*2+17 = 4+17 = 21bottom = 6x+9 = 6*2+9 = 12+9 = 21We get the same length for top and bottom (21), which confirms the correct x value.
This is a 7 by 21 rectangle with area = length*width = 7*21 = 147 square units.
-2 ( 3x + 2 ) ≥ 6x – 4
Answer: x ≤ 0. Interval Notation: (-∞, 0]
▶ Use the part of the nutrition label on the right. If protein contains approximately 4 calories per gram, find the percent of calories from protein from one serving of this food. (Round to the nearest tenth of a percent.) ww. The percent of calories from protein from one serving of this food is %. Nutritional information per serving Calories 277 Protein Carbohydrate Fat 11g 45g 6g
The percent of calories from protein from one serving of the food is found as 15.88%.
What is defined as the term percentage?A relative value representing the hundredth part of any quantity One percent (denoted 1%) is one hundredth part; thereby the, 100 percent describes the entire amount and 200 % identifies twice the given amount.
For the given information;
The total calories is 277.
Nutrients information in food.
Protein - 11g
Carbohydrate - 45g
Fat - 6g
The protein contains 4 calories per gram.
Thus, 11 grams of protein contains 4×11 = 44 calories per grams.
Find the % content of protein out of 277 calories;
p% of 277 = 44
p% = (44×100)/277
p% = 15.88%.
Therefore, the percentage of protein contained in the serving food is 15.88%.
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pleaseeee helppppp will give extra points
A muffin recipe calls for one 3rd cup of milk and one 4th cup of oil how much liquid is needed for the recipe?
Given the function h(x)=-x^2-5x+11h(x)=−x
2
−5x+11, determine the average rate of change of the function over the interval -8\le x \le 4−8≤x≤4.
The average rate of change of the function over the interval is -9.25
How to determine the average rate of change of the function over the interval?The given parameters are
h(x) = x^2 - 5x + 11
−8 ≤ x ≤ 4
Calculate h(4) and h(-8)
So, we have
h(4) = (4)^2 - 5(4) + 11 = 7
h(-8) = (-8)^2 - 5(-8) + 11 = 115
The average rate of change of the function over the interval is then calculated as
Rate = [h(4) - h(-8)]/[4 - -8]
This gives
Rate = [7 - 118/[12]
Evaluate
Rate = -9.25
Hence, the average rate of change of the function over the interval is -9.25
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Solve for x in the diagram below.
(2x+45)
Answer:
Step-by-step explanation:
you can't really solve for x because there is no equal sign to determine how much x needs to be in order to get the sum.
the price of the computer is 899$ the tax rate is 7% what is the sales tax on this computer in dollars and cents
The sales tax on this computer in 62 dollars and 93 cents
What is the sales tax on this computer in dollars and cents?The given parameters
Price = $899
Tax rate = 7%
The sales tax on this computer in dollars and cents is calculated as
Sales tax = Price * Tax rate
This gives
Sales tax = $899 * 7%
Evaluate
Sales tax = $62.93
Hence, the sales tax on this computer in 62 dollars and 93 cents
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it's due by 12 am. please help as soon as possible
Answer:
Step-by-step explanation:
25. 5 < x < 7
seven and three eighths times negative one and two thirds.
Answer: -12 7/24
Step-by-step explanation:
Convert the mixed numbers to fractions (59/8 and -5/3) then multiply across to get -295/24. Simplify for -12 7/24.
Hope this helps :)
Answer: decimal -12.29 fraction -295/24
Step-by-step explanation:
3y+z=am-4y look for y
The value of y is am-z/7
How to calculate the value of y ?The expression is given as follows
3y +z= am-4y
The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side
3y + 4y= am-z
y(3+4)= am -z
7y= am-z
Divide both sides by the coefficient of y which is 7
7y/7= am-z/7
y= am-z/7
Hence the value of y in the expression is am-z/7
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36+29+14 joshua rewrote the ecpression as 36+14+29. What property fid joshua use to rewrite the expession
Answer:
Commutative property because it states that the numbers can be moved around or swapped from their position without making any difference to the answer.
Rectangle ABCD is shown on the grid.
A
(-1,4) 14
3
+2+
4
-6-5-4-312-3₁
(-3-b
B(3,3)
34
C(1-5)
X
What is the area of rectangle ABCD in square units?
O 3√17 square units
O 6√17 square units
O
17 square units
O 34 square units
well, we know it's a rectangle, so we know the opposite sides are perpendicular, so if we just get say the sides AD as its length and BA as its width, that'd give us its area, since it'll just be AD * BA.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad D(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-4}) ~\hfill AD=\sqrt{(~~ -3- (-1)~~)^2 + (~~ -4- 4~~)^2} \\\\\\ ~\hfill AD=\sqrt{( -2)^2 + ( -8)^2}\implies \boxed{AD=\sqrt{68}} \\\\\\ B(\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{4}) ~\hfill BA=\sqrt{(~~ -1- 3~~)^2 + (~~ 4- 3~~)^2}[/tex]
[tex]~\hfill BA=\sqrt{( -4)^2 + (1)^2} \implies \boxed{BA=3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Area}}{(\sqrt{68})(3)\implies (\sqrt{2^2\cdot 17})(3)}\implies (2\sqrt{17})( 3)\implies \LARGE \begin{array}{llll} 6\sqrt{17} \end{array}[/tex]
angle EFG and angle GFH are a linear pair, angle EFG=2n + 25 and angle GFH=4n + 17 what are angles EFG and GFH?
The angles EFG and GFH are 71 and 109 degrees
How to determine the angles EFG and GFH?The given parameters are:
EFG =2n + 25
GFH = 4n + 17
Linear pair angles are supplementary angles
So,we have
2n + 25 +4n + 17 = 180
Evaluate the like terms
6n= 138
Divide by 6
n = 23
Substitute n = 23 in EFG =2n + 25 and GFH = 4n + 17
EFG = 2 * 23 + 25 =71
GFH = 4 * 23 + 17 = 109
Hence, the angles EFG and GFH are 71 and 109 degrees
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PLEASE HELP IM BEIGGONG BEGGING BEGGONF YOUUUU!!! EXTRA POINTS AND BRAINLIEST I HAVE OHOTOT
Just questions 14-30 EVEN
Due to length restrictions, we kindly invite to check the explanation of this question for further details on equations.
How to clear the variables within equationsIn this problem we find equations that have got to be cleared with respect to a given variable, this can be done by taking advantage of algebra properties:
14) b / c = a → c = b / a
15) k = a - y → y = a - k
16) d · f · g = h → f = h / (d · g)
17) 2 · x + 3 · y = 12 → 3 · y = 12 - 2 · x → y = 4 - (2 / 3) · x
18) 2 · n = 4 · x + 2 · y → n = 2 · x + y
19) a · b · c = 1 / 2 → b = 1 / (2 · a · c)
20) y = 3 / (5 · u) + 5 → y - 5 = 3 / (5 · u) → 5 · u = 3 / (y - 5) → 3 / [5 · (y - 5)]
21) 8 · (x - a) = 2 · (2 · a - x) → 8 · x - 8 · a = 4 · a - 2 · x → 10 · x = 12 · a → x = (6 / 5) · a
22) 12 · (m + 3 · x) = 18 · (x - 3 · m) → 12 · m + 36 · x = 18 · x - 54 · m → 66 · m = - 18 · x → m = - (3 / 11) · x
23) V = (π / 3) · r² · h → h = [3 · V / (π · r²)]
24) V = (π / 3) · r² · (h - 1) → h - 1 = [3 · V / (π · r²)] → h = 1 + [3 · V / (π · r²)]
25) y · (a - b) = c · (y + a) → a · y - b · y = c · y + a · c → (a - b - c) · y = a · c → y = (a · c) / (a - b - c)
26) x = [3 · (y - b)] / m → (m · x) / 3 = y - b → y = b + (m · x) / 3
27) F = - (G · m) / r² → G = - (F · r²) / m
28) The area formula of the baking sheet is l · w = 117.
29) The temperature formula is T = (7 / 30) · n + 40.
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Keaton is building a rectangle tabletop and wants to put a metal border around the edge.the length of the tabletop is 1.83 meters and the width is 0.74 meter. Use the formula p=l +2w to find the permit of the tabletop. Lesson 1-1
The perimeter of the given rectangle is a 3.31 meter.
According to the statement
We have to find that the perimeter of rectangle.
So, For this purpose, we know that the
Perimeter is the distance around the edge of a shape.
From the given information:
The length of the tabletop is 1.83 meters and the width is 0.74 meter.
Then the formula to find the perimeter is a
P =l +2w
Here substitute the values then
P =l +2w
P = 1.83 +2*0.74
Now add the terms to get a perimeter of the rectangle.
Then
P = 1.83 +1.48
P = 3.31.
So, The perimeter of the given rectangle is a 3.31 meter.
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ming
What is the value of the expression (54+3³) ?
33
Answer:
Submit Answer
OL
C
Tomeka is in a jump-roping contest. She hopes to be the last person jumping rope at the end of the contest. In her practice yesterday, she jumped 294 consecutive jumps. She jumped one-fourth of them in the first 5 minutes of practice. How many times did she jump after the first five minutes?
what is the plan of action to this problem?
Answer:
Answer
Step-by-step explanation:
Answer times the power of infinity
what is one less than the product of seven and the difference of a number and 2 is 4 times the number?
Answer: 7x -4
Step-by-step explanation:
In the diagram, P is a point on ST such that P is between S and T. If SP = x + 3, PT =2x-1 and ST = 17, find the length of PT
Based on the given parameters, the numerical length of PT is 9 units
How to determine the length of PT?The given parameters are:
P is a point on ST such that P is between S and T.
SP = x + 3,
PT = 2x - 1
ST = 17
The statement "P is a point on ST such that P is between S and T" implies that
ST = SP + PT
Substitute the known values in the above equation
17 = x + 3 + 2x - 1
Evaluate the like terms
17 = 3x + 2
Add 2 to both sides of the equation
3x = 15
Divide both sides of the equation by 3
So, we have
x = 5
Substitute x = 5 in PT = 2x - 1
So, we have
PT = 2 x 5 - 1
Evaluate
PT = 9
Hence, the numerical length of PT is 9 units
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A sample of copper has a mass of 15.6 g and a volume of 1.75 cm^3. Calculate the density of copper from this sample.
this is for earth science but its math :/
Given the mass and volume of the sample, the density of the copper sample is approximately 8.91 g/cm².
What is the density of copper from the given sample?The density of a substance is simply the mass of that substance per unit of its volume.
Density is expressed mathematically as;
Density = Mass / Volume.
Given the data in the question;
Mass of copper sample = 15.6 gVolume of copper sample = 1.75 cm³Density of copper sample = ?Plug the given values into the formula above and solve for density.
Density = Mass / Volume
Density = 15.6 g / 1.75 cm³
Density = 8.91 g/cm²
Given the mass and volume of the sample, the density of the copper sample is approximately 8.91 g/cm².
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Jane bought a watch for $30 that she is going
to re-sell with a 15% markup price. How much
is Jane selling the watch for?
Step 1:
Step 2:
Step 3:
Add these fractions:
3/5 + 6/8
Answer:
[tex]\frac{27}{20}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} + \frac{6}{8}[/tex]
adjust the denominators;
= [tex]\frac{3*8}{5*8} + \frac{6*5}{8*5}[/tex]
[tex]=\frac{24}{40} + \frac{30}{40} \\\\=\frac{24+30}{40} \\\\=\frac{54}{40} \\\\simplify\\\\=\frac{27}{20}[/tex]
urgent please help!
Answer: 0.05t ==> 1st blank
1 ==> 2nd blank
-0.1t+6 ==> 3rd blank
Step-by-step explanation:
could someone please help answer this.
Answer:
+ 12 yards
Step-by-step explanation:
8-3 = 5
5 + 12 - 5 = 12
Use the factor theorem to write a polynomial equation that has solutions of 2, -2, and 4. (Hint: Suppose the solutions of a quadratic equation are 3 and 5. This means that x = 3 or x = 5 which gives us x - 3 = 0 or x - 5 = 0. The expressions are the factors of the polynomial which means that the equation is (x - 3)(x - 5) = 0.)
The equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.
What is the polynomial equation that has solutions of 2, -2, and 4?Roots are the points where the graph intercepts with the x-axis ( y = 0 ).
Given the roots in the question;
x = 2, -2, 3
Now, the root of x = 2 was found solving for x when x - (2) = y but y = 0.
Hence, (x - 2) is a factor.
Next, the root of x = -2 was found solving for x when x - (-2) = y but y = 0.
Hence, (x + 2) is a factor
And the root of x = 4 was found solving for x when x - (4) = y but y = 0.
Hence, (x + 2) is a factor
Now, combine all the factors into a single equation and simplify.
( x-2 )( x + 2 )( x - 4 ) = y
( x² + 2x - 2x - 4 )( x - 4) = 0
( x² - 4 )( x - 4) = 0
x( x² - 4 ) -4( x² - 4 ) = 0
x³ - 4x - 4x² + 16 = 0
x³ - 4x² - 4x + 16 = 0
x³ - 4x² - 4x + 16 = 0
Therefore, the equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.
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