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3 years ago

Evaluate 3a+15+bc−6, when a=7, b=3, and c=15. Enter your answer in the box.

Mathematics

1 answer:

emmainna [20.7K]3 years ago

8 0

3(7)+15+(3)(15)-6

21+15+45-6=75

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Solve the system of equations algebraically. find the intersections(s)

ivanzaharov [21]

Answer:

(-3,8) and (4,-6)

Step-by-step explanation:

5 0

3 years ago

In math class, 4 students complete individual surveys to determine the percentage of high school teachers that have a second job

dlinn [17]

Answer:

Option D) B and C

Step-by-step explanation:

we know that

To find out the percentage of high school teachers that have a second job, divide the number of teachers that have a second job by the total number of teachers

Survey A

$\frac{28}{110}=0.2545$

Convert to percentage

$0.2545(100)=25.45\%$

Survey B

$\frac{27}{90}=0.3$

Convert to percentage

$0.3(100)=30\%$

Survey C

$\frac{21}{70}=0.3$

Convert to percentage

$0.3(100)=30\%$

Survey D

$\frac{32}{80}=0.4$

Convert to percentage

$0.4(100)=40\%$

Compare the percentages

Surveys B and C have the same percentage

therefore

Surveys B and C show proportional results, because the ratio of the number of teachers that have a second job by the total number of teachers is equal (this number is the constant of proportionality k in a proportional relationship between two variables)

8 0

3 years ago

Simplify -3 1/2 minus -12 1/4

erastovalidia [21]

7/2-49/4
4 is common denominator
14-49/4
-35/4

5 0

3 years ago

Which logarithmic graph can be used to approximate the value of y in the equation 4^y=8

WINSTONCH [101]

$\bf \textit{exponential form of a logarithm}\\\\
log_{{ a}}{{ b}}=y \implies {{ a}}^y={{ b}}\qquad\qquad 
% exponential notation 2nd form
{{ a}}^y={{ b}}\implies log_{{ a}}{{ b}}=y 
\\\\
-------------------------------\\\\$

$\bf 4^y=8\implies log_4(8)=y\qquad 
\begin{cases}
4=2^2\\
8=2^3
\end{cases}\implies (2^2)^y=2^3
\\\\\\
2^{2y}=2^3\impliedby \textit{since the bases are the same, so are the exponents}
\\\\\\
2y=3\implies y=\cfrac{3}{2}\implies y=1\frac{1}{2}\quad thus\quad 
\begin{cases}
x=8\\
y=\frac{3}{2}
\end{cases}$

so.. check your graphs

7 0

4 years ago

Chen's report will take 8 1/3 hours to complete. He has worked 3/5 of that time doing research. How long has he worked?

Sergeu [11.5K]

He has worked for 5 hours. 8 and 1/3 is equal to 24/3. Multiply that by 3/5 to get 75/15 which simplifies to 5.

4 0

3 years ago

Read 2 more answers