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3 years ago

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Two groups of workers are painting a bridge in the bay. The first group is responsible for painting the north side of the bridge

, and the second group is responsible for painting the south side of the bridge. The first group has already painted 2 kilometers of the bridge and is painting 2 additional kilometers per day. The second group has already painted 5 kilometers of the bridge and is painting 1 additional kilometer per day. When the two groups have painted the same amount of the bridge, how much of the bridge will they each have painted?

1 answer:

artcher [175]3 years ago

4 0

Answer:

They will each have painted 8 km. This goal will be met on Day 4.

Step-by-step explanation:

Group A | Group B

Start: 2 | Start: 5 Day 1

2 + 2 = 4 | 5 + 1 = 6 Day 2

4 + 2 = 6 | 6 + 1 = 7 Day 3

6 + 2 = 8 | 7 + 1 = 8 Day 4

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Nichior compared the slope of the function graphed to the slope of the linear function that has an x-intercept of 2/3 and a y-in

marusya05 [52]

Answer:

The slope of f(x) is 1.5

Step-by-step explanation:

step 1

Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1

so

we have the points

(2/3,0) and (0,-1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-1-0}{0-2/3}$

$m=\frac{-1}{-2/3}$

$m=\frac{3}{2}=1.5$

step 2

Find the slope of the function graphed

take the points

(0,-1) and (3,6) approximately

substitute in the formula

$m=\frac{6+1}{3-0}$

$m=\frac{7}{3}=2.33$

step 3

we know that

f(x) represents the function with the smaller slope

The smaller slope is 1.5

therefore

The slope of f(x) is 1.5

4 0

2 years ago

the equation 4(x+9)=76 models this situation which choice shows the sequence of operations neede to slove this problem using bot

laiz [17]

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

4(x+9)=76 Equation/Question

Step 2

4(x+9)=76 Remove parenthesis by multiplying 4

4x+36=76

Step 3

4x+36=76 Subtract 36 from sides

4x=40

Step 4

4x=40 Divide sides by 4

answer

x=10

Hope this helps

5 0

2 years ago

A bus travels one and one half miles to a bus stop 4 times. How many miles in all has the bus traveled?

hoa [83]

First you have your two numbers: 1.5 and 4.
The question explains that they travel 1.5 miles 4 times each, meaning you multiply the two.
1.5×4=6

So, your answer is 6 miles.

Hope this helps!

6 0

1 year ago

Read 2 more answers

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism

sdas [7]

Given:

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.

To find:

The total surface area of the prism.

Solution:

We have,

Height of prism = 7½ = 7.5

Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because

$5^2+12^2=13^2$

$25+144=169$

$169=169$

So, the base of the prism is a right triangle.

Area of a triangle is

$Area=\dfrac{1}{2}\times base \times height$

$A_1=\dfrac{1}{2}\times 5\times 12$

$A_1=30$

The area of the base is equal to the area of the top, i.e., $A_2=30$ sq units.

Perimeter of the base is

$P=5+12+13$

$P=30$

The curved surface area of the prism is

$CSA=\text{Perimeter of the base}\times \text{Height of the prism}$

$CSA=30\times 7.5$

$CSA=225$

Now, the total area of the prism is

$A=A_1+A_2+CSA$

$A=30+30+225$

$A=285$

Therefore, the total surface area of the triangular prism is 285 square units.

5 0

2 years ago

Do you flip an inequality sign when adding a negative number?

yaroslaw [1]

Yes when adding a negative you flip the inequality.

5 0

3 years ago