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3 years ago

In the expression 4(3x+7), 3 is coefficient true or false?

Mathematics

1 answer:

GenaCL600 [577]3 years ago

5 0

False. The 4 needs to be distributed to the terms in the parentheses, so the coefficient of x is 12.

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A charm on a lucy's bracelet had the dimensions shown what is the area of the charm

san4es73 [151]

Answer:

Step-by-step explanation:

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3 years ago

Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nep

GaryK [48]

Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

$\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y$

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

1.16x = 2y + 34

but x = (15/7)y

$1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm$

The nephews new height = 2y = 2(70) = 140 cm

Keith new height = 2y + 34 = 140 + 34 = 174 cm

Their total current height = 140 cm + 174 cm = 314 cm

3 0

3 years ago

Which line has a slope -2?

ivanzaharov [21]

Answer:

B) Line B

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A building has a height of 100ft and a length of 100ft. An architect wants to add to the building by doubling the length of the

skelet666 [1.2K]

That would be 200ft sir

5 0

4 years ago

Can someone help me with these problems? Please!

masya89 [10]

Step-by-step explanation:

2) Slope can be written as rise over run:

rise: add to the y-value
run: add to the x-value

$a) Slope=-1\ over\ 1\quad \rightarrow \quad (11 + 1, -8 - 1)\implies (12, -9)\\b) Slope=7\ over\ 2\quad \rightarrow \quad (2+2,2+7)\implies (4, 9)\\c) Slope=9\ over\ 4\quad \rightarrow \quad (-5+4,-2+9)\implies (-1, 7)$

3) Slope formula is: $\dfrac{y_2-y_1}{x_2-x_1}$

$slope=\dfrac{15-3}{5-1}=\dfrac{12}{4}=\boxed{3}$

4) Average rate of change is the slope of the given interval:

a) when x = 0, y = 0 and when x = 1, y = -3

$Slope=\dfrac{-3-0}{1-0}=\dfrac{-3}{1}=-3$

b) when x = -2, y = 0 and when x = -1, y = 3

$Slope=\dfrac{3-0}{-1+2}=\dfrac{3}{1}=3$

c) when x = 0, y = 0 and when x = 2, y = 0

$Slope=\dfrac{0-0}{2-0}=\dfrac{0}{2}=0$

3 0

4 years ago