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neonofarm [45]
2 years ago
5

If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the tot

al number of marshmallows is given by the expression ­­­5(x + 12). Identify an equivalent expression.
A. x + 12

B. 2x − 60

C. 5x + 60

D. 2x − 60
Mathematics
1 answer:
aev [14]2 years ago
8 0

Answer:

The expression that is equivalent to the given expression is:

              5x+60

Step-by-step explanation:

It is given that:

if you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows.

so, let x be the initial number of marshmallows in each bag and now 12 are added to each bag this means that the number of marshmallows in each bag is:

                  x+12

Hence, total number of marshmallows in 5 bags is:

      5(x+12)=5×x+5×12

     5(x+12)=5x+60

        Hence, the answer is:

                    5x+60

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In a camp there is food for 400 persons for 23 days-if 60 more persons join the camp find the number of days the provision will
Deffense [45]

The answer is 20 days.

After 60 people have joined there will be 460 people in the camp.

The number of days which the provisions will last will be proportional less after the 60 people have joined and will be:-

(400/460) * 23

= (20 / 23) * 23

=  20


3 0
2 years ago
A company logo is made up of a square and three identical triangles. What is the area of the logo? Enter your answer in the box.
garri49 [273]
Given:
square with sides measuring 7 cm.
3 triangles attached to three sides of the square. A line bisecting one triangle is measured at 4 cm.

Area of a square = s² = (7cm)² = 49 cm²

Area of a triangle = hb/2 = (4cm*7cm)/2 = 14 cm² 
Area of the 3 triangles = 14 cm² x 3 = 42 cm²

Total area of the logo = 49 cm² + 42 cm² = 91 cm²
7 0
1 year ago
Read 2 more answers
A three-digit number ends in number 7. If you put the number 7 in the first position, the number will increase by 324. Find the
liq [111]

Answer:

<u>The original three-digit number is 417</u>

Step-by-step explanation:

Let's find out the solution to this problem, this way:

x = the two digits that are not 7

Original number = 10x+7

The value of the shifted number = 700 + x

Difference between the shifted number and the original number = 324

Therefore, we have:

324 = (700 + x) - (10x + 7)

324 = 700 + x - 10x - 7

9x = 693 - 324 (Like terms)

9x = 369

x = 369/9

x = 41

<u>The original three-digit number is 417</u>

5 0
2 years ago
A parallelogram whose vertices have coordinates R(1, -1), S(6, 1), T(8, 5), and U(3, 3) has a shorter diagonal of ___ . 5 √(13)
butalik [34]

Answer:

|SU|=\sqrt{13}

Step-by-step explanation:

The given parallelogram has vertices R(1, -1), S(6, 1), T(8, 5), and U(3, 3) .

Recall the distance formula;

We use the distance formula to determine the length of the diagonals.

For diagonal R(1,-1) and T(8,5), We have;

|RT|=\sqrt{(8-1)^2+(5--1)^2}

|RT|=\sqrt{(7)^2+(6)^2}

|RT|=\sqrt{49+36}

|RT|=\sqrt{85}

For the diagonal S(6,1) U(3,3)

|SU|=\sqrt{(6-3)^2+(5-3)^2}

|SU|=\sqrt{(3)^2+(2)^2}

|SU|=\sqrt{9+4}

|SU|=\sqrt{13}

Therefore the shorter diagonal is:

|SU|=\sqrt{13}

4 0
1 year ago
Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.
lys-0071 [83]

<em>Note: As you may have unintentionally missed to add the different answers, based on which we had to check who solved correctly between Tamara and Clyda's work. </em>

<em>But, I am actually solving the expression and you must note that whoever (between Tamara and Clyda's work) may have got the same answer or match the answer with mine, would be the one who solved correctly.</em>

Answer:

We conclude that whoever (between Tamara and Clyda's work) may have got the answer as x^2+5x-2 after dividing   2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2 by 2x^2\:-\:3x\:+\:1  , would be the one who solved it correctly.

Step-by-step explanation:

Considering the expression

                            2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2

Lets divide the expression by 2x^2\:-\:3x\:+\:1

Solution Steps:

\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}

Factorizing

2x^4+7x^3-18x^2+11x-2:\quad \left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)

\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{2x^2-3x+1}

Factorizing

2x^2-3x+1:\quad \left(2x-1\right)\left(x-1\right)

\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}

\mathrm{Cancel\:}\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}:\quad x^2+5x-2

x^2+5x-2

Thus,

\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}=x^2+5x-2

Therefore, we conclude that whoever (between Tamara and Clyda's work) may have got the answer as x^2+5x-2 after dividing   2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2 by 2x^2\:-\:3x\:+\:1  , would be the one who solved it correctly.

Keywords: expression, division

Learn more about expression division from brainly.com/question/1575482

#learnwithBrainly

3 0
1 year ago
Read 2 more answers
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