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spin [16.1K]
3 years ago
14

You are remodeling your kitchen. You've contacted two tiling companies who gladly told you how long it took their workers to til

e a floor of a similar size. Jim completed half the floor in 6 hours. Pete completed the other half of the floor in 5 hours. If Pete can lay 10 more tiles per hour than Jim, at what rate can Jim lay tiles?
Mathematics
2 answers:
quester [9]3 years ago
7 0
Ok so pete lays 10 more than jim per hour

pete and jim laid same amount of tiles

j=jim's rate
p=pete's rate

6j=5p

but pete lays 10 tile per hour faster so
p=10+j

sub
6j=5(10+j)
6j=50+5j
minus 5j both sides
j=50


jim can lay at 50 tiles per hour
Ahat [919]3 years ago
6 0

Answer: 50 tiles per hour

Step-by-step explanation:

apex

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Question 10
antoniya [11.8K]

Answer:

$11,500 was invested at 13%.

$17,500 was invested at 4%

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

Loans totaling 29,000.

P was invested at 13%

29000 - P was invested at 4%.

First investment:

Principal P.

Interest 13% = 0.13.

One year, so t = 1.

So

E_{1} = P*0.13*1

E_{1} = 0.13P

Second investment:

Principal 29000 - P.

Interest 4% = 0.04.

One year, so t = 1.

So

E_{2} = (29000-P)*0.04

The total interest earned for both loans was $2,195.00.

This means that E_{1} + E_{2} = 2195

So

E_{2} = 2195 - E_{1}

So we solve the following system:

E_{1} = 0.13P

E_{2} = (29000-P)*0.04

2195 - E_{1} = (29000-P)*0.04

2195 - 0.13P = 1160 - 0.04P

0.09P = 2195 - 1160

P = \frac{2195 - 1160}{0.09}

P = 11500

$11,500 was invested at 13%.

29000 - 11500 = 17500

$17,500 was invested at 4%

5 0
3 years ago
A corn field has an area of 28.6 acres. It requires about 15,000,000 gallons of water. About how many gallons of water per acre
Nana76 [90]

Answer:

500,000

Step-by-step explanation:

so here's what's up, because it says about we can round 28.6 acres up to about 30. and there is 15,000,000 water every time. its a rather simple question. because all of the water needs to be divided equally, we must divide 15,000,000 by 30. and that makes a total of 500,000. so your answer is 500,000. but be carful because sometimes you must do the opposite.

3 0
3 years ago
Read 2 more answers
What is -x - 11 + 3x - 23 = -2<br> A = 16<br> B = 18<br> C = -18<br> D = -16
scoray [572]

Answer:

x=16

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Here are 5 lines on a coordinate grid:<br> Write equations for lines:
steposvetlana [31]

Answer:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

For the particular case of horizontal lines, those will be of the form:

y = constant.

The vertical lines will be of the form:

x = constant.

Let's start with line a, this is a vertical line, then will be:

x = constant.

To see the value of the constant, you need to see in which point it intersects the x-axis, in this case is in -4, then line a will be:

x = -4

For line b we have the same reasoning, in this case the line intersects the x-axis at x = 4, then line b is: x = 4.

Now for the horizontal lines:

Line c will be of the form:

y = constant

To find the value of the constant you need to see in which point the line intersects the y-axis.

In this case the line intersects the axis at y = 4.

Then this line can be written as: y = 4

For line d, we can see that it intersects the y-axis at -2, then this line will be written as:

y = -2.

For the case of line e we can use the first thing we wrote, let's find two points that belong to this line.

(0 , 1) and (4, -2)

Then the slope will be:

a = (-2 - 1)/(4 - 0) = -3/4

y = -(3/4)*x + b

To find the value of b, we can just replace the values of one of the points in the equation. I will use the point (0, 1), this means that we must replace x by 0, and y by 1.

1 = -(3/4)*0 + b

1 = b

Then the equation for line e is:

y = -(3/4)*x + 1.

3 0
3 years ago
Jamie decides to build an accessibility ramp to help students reach the top of a set of stairs. If BI is 24 feet and AB is 10 fe
patriot [66]

Answer:

<h2>The measure of elevation is 65.4° above the ground.</h2>

Step-by-step explanation:

The measure of elevation refers to angle of elevation.

The problem forms a right triangle, and we know its hypothenuse and the horizontal leg. Using trigonometric reason we find the angle

cos \theta = \frac{10}{24}\\ \theta = cos^{-1} ( \frac{10}{24}) \approx 65.4

Therefore, the measure of elevation is 65.4° above the ground.

4 0
3 years ago
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