Step-by-step explanation:
2/3 of diatance = 10 miles
3/3 of distance = 10 * (3/2) = 15 miles.
The distance between the houses is 15 miles. (B)
Let the total distance covered= x
Distance covered= 10 miles
According to the question,
2/3 of x= 10
=> 2/3 × x= 10
=> 2x/3= 10
=> 2x= 10× 3
=> 2x= 30
=> x= 30/2
=> x= 15
Bob's house is 15 miles away from Henry's house.
Jana has a sandbox that is 4 1/2 feet long, 5 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely.
Answer:
She needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Step-by-step explanation:
length = [tex]l[/tex]= [tex]4\frac{1}{2}=\frac{9}{2}=4.5[/tex] feet
width = [tex]w=[/tex] 5 feet
depth = [tex]h=\frac{1}{2}=0.5[/tex] feet
Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.
Thus, the formula to find the volume of a rectangular prism can be computed using the formula
[tex]V\:=\:l\:\times \:w\:\times \:h[/tex]
[tex]V=4\frac{1}{2}\times 5\times \frac{1}{2}[/tex]
[tex]=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}[/tex]
[tex]=\frac{45}{2\times \:2}[/tex]
[tex]=11\frac{1}{4}[/tex] ft³
Thus, she needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
A weather balloon is dropping at a rate of 4/3 miles per hour from an
initial height of 2 miles. If the balloon's height were graphed as a functio
of time, what would be the x-intercept?
Write the equation of the line given the following: Passes through (-2, 7) and is parallel to the graph y=-8x-2.
Answer:
y = -8x+9
Step-by-step explanation:
7 = -8(-2) - b
7 = 16 - b
-9 = -b
b = 9
y = -8x+9
i still need help im the highest in class but need help
Answer:
A 16%
Step-by-step explanation:
Ashley is a software saleswoman. Her base salary is $1,500, and she makes an additional $60 for every copy pf history is fun she sells. Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 23 copies of History is Fun
Answer:
2,880
Step-by-step explanation:
P + 60N = x
1500 + 60(23) = x
1500 + 1380 = x
2880 = x
Penelope leaves her house. For eight minutes, she drives to the store at a rate of one block per minute. Then, she stops for five minutes to shop in the store. Finally, she drives back to her house at a rate of four blocks every three minutes. Write the equation to model Penelope's trip to the store.
Answer:
T = 8 + 5 + 6
Step-by-step explanation:
Since it took Penelope 8 minutes to drive to the store at a rate of 1 block per minute then that means the store was 8 blocks away. That being the case if she drives back home from the store at 4 blocks every 3 minutes that would mean that she took 6 minutes (4+4 = 8) to get back home. Using this data we can create the following equation model to calculate the total time of the trip.
T = 8 + 5 + 6
B right or am i wrong ?
11. Write an equation in slope-intercept form that passes through (2,3) and 1 (1,5). *
Answer:13/6/7
Step-by-step explanation:
A line passes through point A(14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
The scale from an actual triangle to the drawing at the right is 30 to 1 the scale from the same triangle to Georges drawing of the triangle is 10 to 1 is this drawing or Georges drawing larger explain your answer
Answer:
Georges drawing is larger.
Step-by-step explanation:
A scale is a representative fraction that can be used to either increase or decrease the dimensions of a given object. It can either be; reduced or enlarged.
From the given question, both scales are enlarged scale. But,
the scale from the actual triangle to the drawing = 30:1
This implies that every measure of 30 on the drawing is 1 of the actual. So that a measure of 120 on the drawing equals 4 on the actual.
Georges' scale = 10:1
This implies that every 10 measure equal 1 of the actual. So that a measure of 120 on the drawing is 12 on the actual.
Therefore, Georges drawing is larger.
Lillian and Jacob work at a dry cleaners ironing shirts. Lillian can iron 25 shirts per hour, and Jacob can iron 20 shirts per hour. Lillian and Jacob worked a combined 13 hours and ironed 295 shirts. Determine the number of hours Lillian worked and the number of hours Jacob worked.
Answer:
x=7 y=6
Step-by-step explanation:
x = 7 hous worked by Lillian
y = 6 hours worked by Jacob
Step-by-step explanation:
Let call " x " and " y " numbers of hours Lillian and Jacob worked respectively, then according to problem statement we have:
They both combined a total of 13 hours, therefore
x + y = 13 ⇒ y = 13 - x
And the number of ironed shirts was 295 then we have
25*x + 20*y = 295
We need to solve that system of equations for x and y then
25*x + 20 * ( 13 - x ) = 295
25*x + 260 - 20*x = 295
5*x = 295 - 260
5*x = 35
x = 35/5
x = 7
And y = 13 - x ⇒ y = 13 - 7
y = 6
Determine the domain of the following graph:
9
5
2
5
2 +2345
90 m
-
5
och
What is the answer?
Concept: Domain & Range
The domain is defined on the positive and negative y axis Your provided equation was [tex]2 + 2345[/tex]Which is a single integer 2347 which means that domain would be any real value.11
Which of these represents point-slope form of a linear equation?
y = mx + b
y - y1 = m(x - 1)
Ax + By = 0
y=kx
Answer:
second one..........
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
y = mx + b _____(1)
y - y1 = m(x - 1) _____(2)
Ax + By = 0 _____(3)
y=kx ______(4)
From all the equations given above, we see that,
Equation (1) is in the form of a point-slope.
Thus,
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
Learn more about equation of a line here:
https://brainly.com/question/14200719
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Which step contains an error?
O step 2
O step 4
O step 6
O step 8
Answer:
C
Step-by-step explanation:
Step 6
Casey wants to buy a gym membership. One gym has a $248 joining fee and costs $27 per month. Another gym has no joining fee and costs $58 per month. In how many months will both gym memberships cost the same? What will that cost be?
Answer:
In 8 months both gym memberships will cost the same and that cost will be $464
Step-by-step explanation:
Linear Models
To compare two gym memberships, we can help Casey to form one model for each gym.
One of them charges a $248 joining fee plus $27 per month. The model for this gym is:
G1 = 27m + 248
Where m is the number of months.
The other gym has no joining fee but charges $58 per month. It's model is:
G2 = 58m
The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:
27m + 248 = 58m
Subtracting 27m and swapping the equation:
58m - 27m = 248
Simplifying:
31m = 248
Solving:
m = 248/31
m = 8
When m=8, both gyms charge the same:
G1 =27*8 + 248= $464
G2 = 58*8 = $464
Thus, in 8 months both gym memberships will cost the same and that cost will be $464
What is the opposite of
V3?
HURRY!!!!!
Answer: V^3
V times V times V
Step-by-step explanation:
I think?
A spinner can land on either red, blue, green, or yellow. You spin once.
Find the number of possible outcomes in the sample space.
Please show me how to solve this.
Answer:
You have a 25% chance on landing on any of the colors
Step-by-step explanation:
You Look at all of the posible ways you can land on which is Red, Blue, Green, and Yellow there are four colors in the spinner if you divide the number of colors (4) and divide it by 100 you will get 25 and that is your answer
Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
here, we have,
In this problem,
You Look at all of the possible ways you can land on which is Red, Blue, Green, and Yellow
there are four colors in the spinner
if you divide the number of colors (4) and divide it by 100
you will get 25 and that is your answer
Hence, Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors.
More can be learned about sample spaces at brainly.com/question/25861936
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There are 35 kids in our class.
20% like cats. How many kids
in our class like cats?
Please help
I believe it is 7 kids who like cats.
For EF in triangle EFG, what is the corresponding segment in similar triangle HFG?
Answer:
HF
Step-by-step explanation:
Answer: Side HF.
Step-by-step explanation: The corresponding segment to EF in similar triangle HFG is HF, you can confirm it by folding the triangle.
need help asap
hsjshsuehdue
-2/3h-4=4/3
a. -3
b.-8
c.3
d.8
Answer:
its b
Step-by-step explanation:
A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point
(6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
I realize that the equation is different, but do it in the same way, it'll help! It is given that the water taxi's path can be modeled by the equation y =0.5(x - 14)^2. Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the y-intercept of the line. The y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of equations, solve the system using substitution. First, write the equation that models the water taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for y in the equation and then solve for x. As the expression on the left side of the equation cannot easily be factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.
In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.
Check all equations that are equivalent. Q = 180(23 - 2) + 1 180 180+ Q + 300 180
A, C, and D are are all equal to a = 180n − 360, while answer B is equal to a = 180n − 180. Therefore, A, C, and D are all equivalent to each other.
Please help and give details :)
7x+4y-28=0 is the answer
A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales? Enter your answer in the box.
Answer:
$546
Step-by-step explanation:
726 is 1/3. 3/3 is 2178. - 1632= 546.
FIND THE EQUATION OF THE QUADRATIC FUNCTION GIVEN ITS ZEROS. 2.)11/3,-11/3
Answer:
they will have the same aboulsute value.
Step-by-step explanation:
because the abouslute value can not be negitive
1. A right triangle is shown.
25 cm
7 cm
Based on this information, what is the length of the base of this triangle?
HELP PLS I BEG YOU
Answer:
24 is the answer
Step-by-step explanation:
answer is 24 for base
9(p-4)=-189(p−4)=−18
Answer:
6
Step-by-step explanation:
Answer:
The Correct Answer is 2
Step-by-step explanation:
Trust me for I have the skills of a scientist
What is 180 pi divided by 420 pi simplified?
Answer:
3/7
Step-by-step explanation:
I need help matching these
What is the constant of proportionality in the equation y=0.72x
Answer:
Constant: 0.72 = 18 : 25
Step-by-step explanation:
None