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Yakvenalex [24]
3 years ago
15

4. Three hoses are connected end to end. The first hose is

Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Answer:7.25 feet

Step-by-step explanation:

6.25+6.5=12.75

20-12.75=7.25

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Where are negative numbers placed on a number line
ahrayia [7]

Answer: Negative numbers are placed to the left of zero on the number line

6 0
3 years ago
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Use intercepts to graph the linear equation 5x + 3y = 30.
miv72 [106K]

Answer x=6 and y=10

Explanation:

Replace each variable in turn with 0 and solve

5x+3y=30  Put zero in place of x and solve for y

5(0)+3y=30

\frac{3y}{3} =\frac{30}{3}

y=10 The y- intercept is 10

5x+3y=30 Put zero in place of y and solve for x

5x+3(0)=30

\frac{5x}{5} =\frac{30}{5}

x=6  The x-intercept is 6

5 0
3 years ago
The axis of symmetry for the graph of the function is f(x) = x2 + bx + 10 is x = 6. What is the value of b?
joja [24]

Answer:

b=-12

Step-by-step explanation:

we have

f(x)=x^{2}+bx+10

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2} +k

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to x=h

In this problem we have the axis of symmetry x=6

so

the x-coordinate of the vertex is equal to 6  

therefore

For x=6+1=7 -----> one unit to the right of the vertex

Find the value of f(7)

f(7)=7^{2}+b(7)+10

f(7)=59+7b

For x=6-1=5 -----> one unit to the left of the vertex

Find the value of f(5)

f(5)=5^{2}+b(5)+10

f(5)=35+5b

Remember that

f(5)=f(7) ------> the x-coordinates are at the same distance from the axis of symmetry

so

59+7b=35+5b ------> solve for b

7b-5b=35-59

2b=-24

b=-12


3 0
3 years ago
Read 2 more answers
Forty five men can construct a road 210m long in 60 days. What length would be constructed by 72 men in 50 days assuming that al
blagie [28]

Answer:

280m

Step-by-step explanation:

Work rate would be (210m)/(45people)(60days)=7/90 m/(people)(day)

7/90 m/(people)(day) * 72people * 50days =280m

7 0
3 years ago
Kate picks b berries per hour for h hours. If she then gives one-third of the berries she picked in the first hour to David, how
Murljashka [212]

Answer:

3/3 - 1 = 2

kate still haves 2 hours work left of berries

Step-by-step explanation:

3 0
3 years ago
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