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3 years ago

Which expression is equivalent to a/3b? a.) 3a/15b b.) 2a/6b c.) a-7/3b-7

Mathematics

1 answer:

Tema [17]3 years ago

7 0

Option B is your answer.

Divide both top and bottom by 2 and you get the fraction given in the question.

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I need help it’s homework and idk how to do it

Volgvan

Answer:

x = 40 1/2

Step-by-step explanation:

The hash marks tell you the triangles are similar and the smaller one is 1/2 the size of the larger one. Then x is half the length of the corresponding segment marked 81.

x = 81/2

x = 40 1/2

___

You may have to write it as 81/2 or as 40.5. Sometimes the answer needs to be in a particular form.

3 0

3 years ago

Solve for x.38(2x+16)−2=13 Enter your answer in the box.x =

lys-0071 [83]

Given:

$\frac{3}{8}(2x+16)-2=13$ $\frac{3}{8}(2x+16)=13+2$ $\frac{3}{8}(2x+16)=15$ $(2x+16)=15\times\frac{8}{3}$ $(2x+16)=40$ $2x=40-16$ $2x=24$ $x=\frac{24}{2}$ $x=12$

5 0

1 year ago

What is the product?

ZanzabumX [31]

Answer:

The product is:

$\left[\begin{array}{cc}15 & 14\\-1 & 9\end{array}\right]$

Step-by-step explanation:

For this problem you need to multiply the first row only for the two first column of the others matrix and get the desired result:

$\left[\begin{array}{ccc}1&3&1\\-2&1&0\end{array}\right] \times \left[\begin{array}{cc}2&-2\\3&5\\4&1\end{array}\right]$

$1 \times 2 + 3 \times 3 + 1 \times -2 = 15$

So the value of the element in the position $a_{11}$ is 15

$1 \times -2 + 3 \times 5 + 1 \times 1 = 14$

So the value of the element in the position $a_{12}$ is 14

Then with these two values you can determinate the result matrix.

$\left[\begin{array}{cc}15 & 14\\-1 & 9\end{array}\right]$

3 0

2 years ago

The kinetic energy (in joules) of a moving object can be calculated from the expression 1/2mv^2, where m is the mass of the obje

algol13

Answer: $116\text{ joules}$

Step-by-step explanation:

Given: Mass of baseball=0.145 kg

Speed of baseball=40 meters per second

Also it is given that The kinetic energy (in joules) of a moving object can be calculated from the expression $\frac{1}{2}mv^2$ , where 'm' is the mass of the object in kilograms and 'v' is its speed in meters per second.

Thus, the kinetic energy of baseball= $\frac{1}{2}(0.145)(40)^2$

$\frac{1}{2}(0.145)(1600)=116\text{ joules}$

3 0

3 years ago

Read 2 more answers

Find the quotient of 21x^2y^6+6xy^3-30xy/3xy.

kaheart [24]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------$

$\bf \cfrac{21x^2y^6+6xy^3-30xy}{3xy}\implies \stackrel{\textit{distributing the denominator}}{\cfrac{21x^2y^6}{3xy}+\cfrac{6xy^3}{3xy}-\cfrac{30xy}{3xy}}
\\\\\\
\cfrac{21}{3}\cdot x^2x^{-1}y^6y^{-1}+\cfrac{6}{3}\cdot x^1x^{-1}y^3y^{-1}-\cfrac{30}{3}\cdot x^1x^{-1}y^1y^{-1}
\\\\\\
7x^{2-1}y^{6-1}+2x^{1-1}y^{3-1}-10x^{1-1}y^{1-1}\implies 7xy^5+2y^2-10$

3 0

3 years ago

Read 2 more answers