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elena55 [62]
3 years ago
6

The graph shows Elizabeth’s speed during a 55-minute run. During which time interval did Elizabeth’s speed increase?

Mathematics
1 answer:
gladu [14]3 years ago
5 0

Answer:

0 - 5

Step-by-step explanation:

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A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79%
astraxan [27]

Answer:

30 each of 23% bars and 18 each of 79% bars

Step-by-step explanation:

If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:

x + y = 48

0.23x + 0.79y = 0.44(48)

Substituting and solving:

0.23x + 0.79(48-x) = 0.44(48)

0.23x + 37.92 - 0.79x = 21.12

16.8 = 0.56x

x = 30

y = 48 - x

y = 18

You need 30 each of 23% bars and 18 each of 79% bars.

4 0
4 years ago
F(x) = 4x^2 + 3x - 11<br> f(-3)
Mnenie [13.5K]
Just plus in x for -3
f(x) = 4(-3)^2 + 3(-3) - 11
f (x) = 4(9) -9 - 11
f(x) = 36 - 20
f(x) = 16
3 0
3 years ago
X(x+3) + 34 = (x +5)(x+2)
My name is Ann [436]
X(x + 3) + 34 = (x + 5)(x + 2)

First, expand to remove parentheses. 
x^{2} + 3x + 34 =  x^{2} + 2x + 5x + 10
Second, add '2x + 5x' to get '7x'.
x^{2} + 3x + 34 =  x^{2}  + 7x + 10
Third, cancel out 'x^{2}' on both sides.
3x + 34 = 7x + 10
Fourth, subtract '3x' from both sides.
34 = 7x + 10 - 3x
Fifth, subtract '7x - 3x' to get '4x'.
34 = 4x + 10
Sixth, subtract '10' from both sides.
34 - 10 = 4x
Seventh, subtract '34 - 10' to get '24'.
24 = 4x
Eighth, divide both sides by '4', leaving the 'x' by itself.
\frac{24}{4} =x
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
6 = x
Tenth, switch your sides to get the answer.
x = 6

Answer: x = 6

4 0
3 years ago
What is 1/15 as a decimal
ElenaW [278]
1/15 as a decimal would be 0.6666666......

Or you can round that off to 0.67 



7 0
4 years ago
Read 2 more answers
In a family, each brother has as many sisters as brothers, but each sister has twice as many brothers as she has sisters. How ma
daser333 [38]

Answer:

4 brothers and 3 sisters

Step-by-step explanation:

Let x be the number of brothers and y be the number of sisters in the family.

1.  Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

x-1=y.

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

2(y-1)=x.

3. Solve the system of two equations:

\left\{\begin{array}{l}x-1=y\\ \\2(y-1)=x\end{array}\right.\Rightarrow 2(y-1)-1=y,\\ \\2y-2-1=y,\\ \\2y-y=2+1,\\ \\y=3.

Then

x=y+1=3+1=4.

4 0
3 years ago
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