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Gnoma [55]
3 years ago
11

OPEN ENDED QUESTION

Mathematics
1 answer:
posledela3 years ago
4 0

Answer: I hope this helps :)

Substitution:  45+15(6-1)

Simplify:  120

Step-by-step explanation:

Calculate within parenthases (6-1) =5    =45+15(5)

Multiply left to right 15(5)=75      =45+75

Add leftg to right 45+75=120

Answer = 120

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Is ABC DEF? If so, name which similarity postulate or theorem applies. Pls explain. Thanks!! :)
Inessa05 [86]

Answer: B. Similar - AA

Step-by-step explanation:

The AA or Angle-Angle postulate states that if two corresponding angles are congruent, then the triangles are congruent.

3 0
3 years ago
On a math test, Johnny made a raw score of 95 on a 40 question test. The correct answers were given 5 points each while incorrec
Sidana [21]
X - the number of questions he answered correctly
y - the number of questions he answered incorrectly

There were 40 questions on the test.
x+y=40 \\ y=40-x

The correct answers were given 5 points each, the incorrect answers were given -2 points each. He made a score of 95.
5x-2y=95 \\
-2y=95-5x \\
y=-\frac{95}{2}+\frac{5}{2}x


Set 40-x and (-95/2)+(5/2)x equal to each other:
40-x=-\frac{95}{2}+\frac{5}{2}x \\
-x-\frac{5}{2}x=-\frac{95}{2}-40 \\
-\frac{2}{2}x-\frac{5}{2}x=-\frac{95}{2}-\frac{80}{2} \\
-\frac{7}{2}x=-\frac{175}{2} \\
x=-\frac{175}{2} \times (-\frac{2}{7}) \\
x=\frac{175}{7} \\
x=25

Johnny answered correctly 25 questions.
8 0
3 years ago
simplify A + B + 2A + 3B show how you got your work and the numbers please please show how you figure out the numbers and how to
KengaRu [80]

a + b + 2a + 3b \\ a + 2a = 3a \\ b + 3b = 4b \\  \\ 3a + 4b
7 0
3 years ago
Read 2 more answers
9. The theater club of a local high school is planning a production. The amount of time t needed to assemble the set is inversel
Vsevolod [243]

Answer:

The situation that represents this situation is:

t = \frac{60}{n}

Step-by-step explanation:

The amount of time t needed to assemble the set is inversely  proportional to the number people n working.

This means that:

t = \frac{k}{n}

In which k is the constant of proportionality.

Twelve people can assemble the set in 5 hours.

This means that for n = 12, t = 5. We use this to find k.

t = \frac{k}{n}

5 = \frac{k}{12}

k = 12*5 = 60

Write an equation to represent the situation.

t = \frac{60}{n}

8 0
3 years ago
In a pile of 55 coins made of nickels and dimes totaling $3.90 how many of each coin are there
tigry1 [53]
There are 5 pennies in a nickel, and 10 pennies in a dime.  Now in $3.90 there are 390 pennies.

n = number of nickels in the pile

d = number of dimes in the pile

we know the pile has 55 coins, therefore whatever "n" and "d" are, we know that n + d = 55.

now, "n" is how many nickel coins are there, how many pennies is it in total?  well, 5 pennies to a nickel, for "n" nickels, will then be 5(n) or 5n.

and "d" is how many dime coins are there, so therefore in "d" coins, there are 10(d) pennies, or 10d.

we also know the total amount of pennies is 390, therefore 5n + 10d = 390.

\bf \begin{cases}
n+d=55\implies \boxed{n}=55-d\\
5n+10d=390\\
-------------\\
5\left(\boxed{55-d}  \right)+10d=390
\end{cases}
\\\\\\
275-5d+10d=390\implies 5d=115\implies d=\cfrac{115}{5}\implies d=23

how many nickel coins are there anyway?  well, n = 55 - d.
8 0
3 years ago
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