All categories

3 years ago

Evaluate this exponential expression. 4. (2 + 5)2 - 52 =

Mathematics

2 answers:

egoroff_w [7]3 years ago

7 0

Answer:

C. 171

Step-by-step explanation:

$4\cdot (2+5)^2-5^2\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(2+5\right)\::\quad 7\\=4\cdot \:7^2-5^2\\\\\mathrm{Calculate\:exponents}\:7^2\::\quad 49\\=4\cdot \:49-5^2\\\\\mathrm{Calculate\:exponents}\:5^2\::\quad 25\\=4\cdot \:49-25\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\cdot \:49\::\quad 196\\=196-25\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:196-25\:\\:\quad 171\\$

Katen [24]3 years ago

6 0

C.171

Step-by-step explanation:

4×7(2)-25

4×49-25

multiply 4×49=196-25

then subtract 196-25=171

You might be interested in

Add. (6x3+3x2−2)+(x3−5x2−3) Express the answer in standard form.

sergiy2304 [10]

Answer:

$7x^3-2x^2-5$

Step-by-step explanation:

We need to add the two terms.

$(6x^3+3x^2-2)+(x^3-5x^2-3)$

Solving,

Combine the like terms and adding those terms

$(6x^3+3x^2-2)+(x^3-5x^2-3)\\=6x^3+3x^2-2+x^3-5x^2-3\\=6x^3+x^3+3x^2-5x^2-2-3\\=7x^3-2x^2-5$

So, the answer is:

$7x^3-2x^2-5$

6 0

4 years ago

Rachel uses 1/3 cup of oil for every cake she bakes. If she used 4 cups of oil one day, she made __ cakes. If she used 2 cups of

Leno4ka [110]

First answer: 12

Second answer: 6

=================================================

How to get these answers

She uses 1/3 of a cup for 1 cake, so we have this ratio

1/3 cup : 1 cake

Multiply both sides by 3 and we end up with

1 cup : 3 cakes

Then multiply both sides by 4 to change "1 cup" to "4 cups" and we have

4 cups : 12 cakes which is the answer to the first part

-------------

For part 2, we'll follow the same steps as before, but instead of multiplying both sides by 4, we do 2 instead because we're dealing with 2 cups of oil.

1/3 cup : 1 cake

3*(1/3 cup) : 3*(1 cake)

1 cup : 3 cakes

2*(1 cup) : 2*(3 cakes)

2 cups : 6 cakes which is the answer to the second part

6 0

3 years ago

Read 2 more answers

What is 5\7 divided by 3\4= wright the answer and show work. thank you.

krek1111 [17]

20/21 (WORK AND EXPLANATION PROVIDED)