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Maksim231197 [3]

3 years ago

5

You find one quarter, two dimes, and two nickels.

2 answers:

Elis [28]3 years ago

8 0

Answer:

Step-by-step explanation:

one quater equals 25cents

two dimes equals 20 cents

two nickles equals 10 cents

if you add all together you get 0.55 cents

0.55 as a fraction is 11/20

vitfil [10]3 years ago

5 0

Answer:

a: 0.55

b:11/20

Step-by-step explanation:

hope this helps

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If Dave had 5 apples, Sandie has twice the amount Dave has.

lorasvet [3.4K]

Answer:

10

Step-by-step explanation:

If Dave has 5 apples and Sandie has double the amount then you need to multiply 5 and 2.

5×2=10.

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3 years ago

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What are the steps to this equation

Harlamova29_29 [7]

Answer:

$x=7$

Step-by-step explanation:

$\frac{2}{5}x+\frac{1}{3}=\frac{1}{3}x+\frac{4}{5}$

Subtract $\frac{1}{3}$ from both sides:

$\frac{2}{5}x+\frac{1}{3}-\frac{1}{3}=\frac{1}{3}x+\frac{4}{5}-\frac{1}{3}$

$\frac{2}{5} x=\frac{1}{3}x+\frac{12}{15}-\frac{5}{15}$

$\frac{2}{5}x=\frac{1}{3}x+\frac{7}{15}$

Subtract $\frac{1}{3} x$ from both sides:

$\frac{2}{5}x-\frac{1}{3}x=\frac{1}{3}x+\frac{7}{15}-\frac{1}{3}x$

$\frac{6}{15}x-\frac{5}{15}x=\frac{7}{15}$

$\frac{1}{15}x=\frac{7}{15}$

Multiply both sides by 15:

$15\times \frac{1}{15}x=\frac{7\times 15}{15}$

$x=\frac{105}{15}$

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3 years ago

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a. Find symmetric equations for the line that passes through the point (4, −4, 8) and is parallel to the vector −1, 4, −3b. Find

daser333 [38]

The line has equation

$\vec r(t)=(4,-4,8)+(-1,4,-3)t$

where $t$ is any real number. $(-1,4,-3)t$ is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.

To get the symmetric form, we have

$\begin{cases}x(t)=4-t\\y(t)=-4+4t\\z(t)=8-3t\end{cases}$

Solving for $t$ in each equation gives the symmetric form,

$t=\boxed{4-x=\dfrac{y+4}4=\dfrac{8-z}3}$

The line has intercepts in the coordinate planes wherever either the $x$ , $y$ , or $z$ coordinate is 0.

$xy$ -plane:

$z=0\implies\begin{cases}4-x=\frac83\\\frac{y+4}4=\frac83\end{cases}\implies\left(\dfrac43,\dfrac{20}3,0\right)$

$yz$ -plane:

$x=0\implies\begin{cases}\frac{y+4}4=4\\\frac{8-z}3=4\end{cases}\implies\left(0,12,-4\right)$

$xz$ -plane:

$y=0\implies\begin{cases}4-x=1\\\frac{8-z}3=1\end{cases}\implies\left(3,0,5\right)$

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3 years ago

What number should be placed in the box to help complete the division calculation?

Vinvika [58]

Answer:

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Step-by-step explanation:

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3 years ago

14. In a right triangle, if one acute angle has measure 10x + 6 and the other has measure 2x + 7, find the larger of these two a

lubasha [3.4K]

Answer:

421/6 degrees

Step-by-step explanation:

The acute angles of a right triangle are complementary, so

$10x+6+2x+7=90 \\ \\ 12x+13=90 \\ \\ 12x=77 \\ \\ x=\frac{77}{12}$

So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.

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2 years ago