If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor of 17?
Question 1 (10 points)
Berry Ice charges $6.25 a cup and $0.60 for each topping (x) you add. Layla wants a cup with 3 toppings.
Which expression best represents the situation, and how much will the cup cost Layla?
Answer: Total cost for her would be $8.05
Step-by-step explanation:
Given:
Berry Ice charges $6.25 a cup
$0.60 for each topping (x) you add
since she wants a cup with 3 toppings.
then
total cost = 6.25 (cost of 1 cup) + 0.60*3 ($0.60 for each topping then for 3 topping 3*cost of 1 topping)
=$8.05
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What if? if the height of the pyramid were increased to 563 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increas
The pyramid's volume will increase by 11.79%.
What is a pyramid?It has a polygonal base.A pyramid has n + 1 vertices, n + 1 faces, and 2n edges with an n-sided base.A Pyramid's volume is calculated as:
[tex]V=\frac{B h}{3}[/tex]
Where:
B denotes the base area.h stands for height.When the height increases from 458 to 512, the initial and final volumes are as follows:
[tex]\begin{aligned}&V_1=\frac{458}{3} b \\&V_2=\frac{512}{3} b\end{aligned}[/tex]
The percentage difference is then calculated as follows:
[tex]\% \text { Change }=\frac{V_2-V_1}{V_1} \times 100 \%[/tex]
We obtain:
[tex]\% \text { Change }=\frac{512 b / 3-458 b / 3}{4586 / 3} \times 100 \%\\\% \text { Change }=\frac{54 b / 3}{4586 / 3} \times 100 \%\\\% \text { Change }=0.1179 \times 100 \%\\\% \text { Change }=11.79 \%[/tex]
Therefore, the pyramid's volume will increase by 11.79%.
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The correct question is given below;
If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase
If angle 1 and angle 2 supplementary, angle 2 and angle 3 are supplementary, measure of angle 1 = 133 degrees, find the measures of angle 2 and angle 3
If angle 1 and angle 2 supplementary, angle 2 and angle 3 are supplementary, The measure of ∠2 = 47° and ∠3 = 133°.
What are supplementary angles?Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are supplementary angles as the total of these two angles is 180°. The sum of complimentary angles is 90 degrees.
Given,
the measure of angle 1 = 133°
As, ∠1 + ∠2 are supplementary angles,
⇒ ∠1 + ∠2 = 180° ......(1)
∠2 + ∠3 are supplementary angles,
⇒ ∠2 + ∠3 = 180° .......(2)
From (1),
⇒ 133° + ∠2 = 180°
⇒ ∠2 = 47°
From (2),
47° + ∠3 = 180°
∠3 = 133°
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Miguel is asked to solve the problem below and wants to convert the values to the same form. Which form would you encourage Miguel to choose?
-0.6(⅚)
Group of answer choices
No answer text provided.
Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.
Since 5/6 is a repeating decimal, Miguel should convert the fraction 5/6 to a decimal and multiply decimals.
Since 5/6 is a terminating decimal, Miguel should convert 5/6 to a decimal and multiply the decimals.
the correct option is:
"Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions."
Which form would you encourage Miguel to choose?
Miguel wants to do the product below:
-0.6*(5/6)
And he know that to do it, he should convert both numbers to the same form, only that he does not know if he should transform the decimal number into a fraction or the fraction into a decimal.
It is always easier to work with fractions, so the blind answer is to go with the fraction, but let's see why this is the best option.
5/6 written as a decimal will give:
5/6 = 0.833....
It is a repeating decimal number, so taking the exact product would be impossible to do by hand if we used both numbers in decimal form.
While -0.6 written as a fraction is really trivial, just multiply it and divide it by 10, it becomes:
-0.6 = -6/10
Then the product is:
(-6/10)*(5/6) = -5/10 = -1/2
Then the correct option is:
"Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions."
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show your work for -4x+3(2x-5)=31
Step-by-step explanation:
[tex] - 4x + 3(2x - 5) = 31 \\ - 4x + 6x - 15 = 31 \\ 2x - 15 = 31 \\ 2x = 31 + 15 \\ 2x = 46 \\ x = 46 \div 2 \\ x = 23[/tex]
I cannot figure this out
maritza compro 1.5 litros de pintura azul. si empleo 1/2 del contenido de esa lata para pintar un mural
¿cuantos litros de pintura azul uso en este?
The fraction of 1/2 of the number of liters of blue paint is 3/4 therefore 3/4 liters of blue paint must be used to draw that painting.
What is a fraction?If we divide two numbers by each other then the upper word is called the numerator, a lower word is called the denominator, and the representation is known as the fraction.
Given that,
Maritza bought 1.5 liters of blue paint.
The given painting is going to be used 1/2 fraction of the total liters of blue paint.
1/2 of the blue paint ⇒
(1/2)1.5
⇒ (1/2)15/10
⇒ (1/2)3/2
⇒ 3/4 liters of blue paint.
Hence "The fraction of 1/2 of the number of liters of blue paint is 3/4 therefore 3/4 liters of blue paint must be used to draw that painting".
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The given question is in another language the translation in English is as follows;
Maritza bought 1.5 liters of blue paint. if I use 1/2 of the contents of that can to paint a mural
How many liters of blue paint do I use on this?
Please help me! I am so confused
Theoretical probability is what might happen, but the experimental probability is definitely happens in trials. The probability in these cases is 0.25.
What is the difference between theoretical and experimental probability?Theoretical probability is based on the total outcomes vs the desired outcomes; due to this, this is just the expectation of what will hapen. However, as this is mainly based on expectations, it is not completely accurate.
On the other hand, the experimental probability is based on the observation of reality as the probability is tested, which makes it more accurate.
What are the probabilites in the cases presented?Desired outcomes /total outcomes
Probability of getting red in the spinner:
4/10 0.25 or 25%Probability of getting a 4 in a dice
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a house is drawn to the scale of 1/4in = 5 ft. Its rectangular kitchen measures
4.5 inches by 6.5 inches on the blueprints. What is the actual length and width of the kitchen?
Find the actual area of the kitchen.
Answer:
1 : 4 1/2 :: 8 1/5 : x proportion
x = (4 1/2)(8 1/5) product of means/extremes
x = (9/2)(41/5) change improper fraction
x = 369/10 multiply
x = 36.9 change to decimal
Find an equation for the perpendicular bisector of the line segment whose endpoints are (−4,−1) and (8,-5)
An equation for the perpendicular bisector of the line segment whose endpoints are (−4,−1) and (8,-5) is [tex]y=-\frac{1}{3} x-\frac{7}{3}[/tex]
Find the line [tex]$y=m x+b$[/tex] passing through [tex]$(-4,-1),(8,-5)$[/tex]
Compute the slope [tex]$(-4,-1),(8,-5): \quad m=-\frac{1}{3}$[/tex]
Compute the [tex]$y$[/tex] intercept: [tex]$\quad b=-\frac{7}{3}$[/tex]
Construct the line equation [tex]$y=m x+b$[/tex] where [tex]$m=-\frac{1}{3}$[/tex] and [tex]$b=-\frac{7}{3}$[/tex]
[tex]y=-\frac{1}{3} x-\frac{7}{3}[/tex]
A perpendicular bisector can be defined as a line that intersects another line segment perpendicularly and divides it into two parts of equal measurement. We can draw a perpendicular bisector using a rule, a compass and a pencil.
Two lines are said to be perpendicular to each other when they intersect each other at 90 degrees or at right angles. And, a bisector is a line that divides a line into two equal halves. Thus, a perpendicular bisector of a line segment AB implies that it intersects AB at 90 degrees and cuts it into two equal halves.
A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other words, a perpendicular bisector divides a line segment into two equal parts by intersecting it at a 90° angle.
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1/4 g(x)=-4x-8 if g (-3)
Answer:
16
Step-by-step explanation:
x=-3
g(x)=4(-4(-3)-8)
g(x)=4(4)
g(x)=16
Pwease help me :0 Thank u!
Answer:
1/2
Step-by-step explanation:
simply divide 3/10 to get 0.3 and then divide 3/5 to get 0.6 then just divide 0.3 to 0.6 to get 0.5 or 1/2
sx+tx=r solve the literal equation for x
Answer:
[tex]x = \frac r{s + t}[/tex]
Step-by-step explanation:
Hello!
Solve by isolating the variable.
Solve for x[tex]sx + tx = r[/tex][tex]s(x) + t(x) = r[/tex][tex]x(s + t) = r[/tex][tex]x = \frac r{s + t}[/tex]The solution for x is [tex]x = \frac r{s + t}[/tex].
I need help please!
Answer:
cho kevin and sydney qualify
Step-by-step explanation:
If a leinear system has more unknowns equations then it must hav einfinitely many solutions.
a. true
b. false
If a linear system has more unknown equations then it must have infinitely many solutions, which is true.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If there is only one equation with more than one parameter, then the number of the solution will be infinite.
If a linear system has more unknown equations then it must have infinitely many solutions, which is true.
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In the coordinate plane, the point X (2, 2) is translated to the point X (0, 4). Under the same translation, the points Y(-2, 0) and Z (0, 6) are
translated to Y and Z', respectively. What are the coordinates of Y' and Z?
The points Y and Z after transition are (-4,-2) and (-2,4)
In this case, we are required to find x' and y' to find the direction of transition
x' =x coordinate of point 2 - x coordinate of point 1
= 0-2 = -2
y'= y coordinate of point 2 - y coordinate of point 1
=4-2 = 2
Now we are required to subtract these transition from the points given,
Transition of point Y = (-2-2 ,0-2) =(-4,-2)
Transition of point Z =(0-2,6-2) = (-2,4)
Hence the points after transition are Y as(-4,-2) and Z as (-2,4)
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Determine the value of x.
The photo is not visable, can you type the question iin the comments I WILL solve it :)
What are the zeros of the expression (x-5)(2x+7)
Answer:
The zeros are x =5, -7/2
Step-by-step explanation:
To find the zeros, set the expression equal to zero
(x-5)(2x+7) =0
Using the zero product property
(x-5)=0 (2x+7)=0
Solve each equation
x=5 2x = -7
x=5 x = -7/2
The zeros are x =5, -7/2
Answer:
5, -7/2
Step-by-step explanation:
[tex]x - 5 = 0 = 5\\\\2x + 7 = 0\\2x + -7 = 0\\\frac{2x}{2} = \frac{-7}{2}\\ x = \frac{-7}{2}\\x = -\frac{7}{2}[/tex]
Thus,
x = 5
x = -7/2
Q.5 - Solve the equation 3(2x - 4) = 8 + 2x + 6. Show your work.
Answer: x=6.5
Step-by-step explanation:
3(2x - 4) = 8 + 2x + 6
6x-12=14+2x
4x-12=14
4x=26
x=26/4
x=6.5
(5,-4), (1, -7) distance formula
Answer:
The distance between both points is 5 units
Step-by-step explanation:
The distance formula is: d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
lol i still dont get it i need a smartt brainlist help pleaseee
Is o.227 a rational number explain
Answer: 227 is a rational number because it can be expressed as the quotient of two integers: 227 ÷ 1.
Step-by-step explanation:
Write a linear equation for the graph in point-slope form. Show your work.
Answer:
y-20=0.75(x-4)
Step-by-step explanation:
First, use slope formula to find the slope.
The points I will use are (4, 20) and (8, 23).
Formula:
y2-y1/x2-x1
23-20/8-4=
=3/4
The slope in decimal form is 0.75.
Now you put the linear equation in point-slope form.
m=0.75
Use the point (4, 20).
y-y1=m(x-x1)
y-20=0.75(x-4)
The linear equation is point-slope form is y-20=0.75(x-4).
Hope this helps!
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Complete each function table,then graph the function
The y values from:
1. ₋6
2. ₋3
3. 0
4. 3
Given the x values and y value as y = 3x
1. when x = ₋2 then y = 3x
y = 3(₋2)
y = ₋6
2. when x = ₋1 then y = 3x
y = 3(₋1)
y = ₋3
3. when x = 0 then y = 3x
y = 3(0)
y = 0
4. when x = 1 then y = 3x
y = 3(1)
y = 3
therefore we get the points as (₋2 , ₋6) (₋1 , ₋3) (0,0) (1 , 3).The graph is pltted and attached.
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square root 147 simplified
Answer:
7√3
Step-by-step explanation:
1. Which one of the following is a solution of 5x + 3y = 11?
A. (-1, 2)
B. (2, -1)
C. (2, 1)
D. (1, 2)
E.(1/5,3)
The graph shows the percentage of garbage that was recycled between 1991 and
2013
Answer:
Step-by-step explanation:
the amount of garbage started to increase around 2005 or 2007
Just plot a point anywhere they graph is straight
Isabella and Tom leave from the same location at
9:45 AM. Isabella drives north at a constant speed of
65 kilometers per hour, and Tom drives south at a
constant speed of 77 kilometers per hour.
25
At what time will Isabella and Tom be 639 km apart?
A) 1:15 PM
B) 2:15 PM
C) 3:30 PM
D) 4:30 PM
PLEASE SOLVE ITS FOR A TEST I NEED IT
Answer:
The answer is Option C
Answer:
I think the answer would be C
Step-by-step explanation:
