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3 years ago

11

15 out of the 20 students at the lunch table had a sandwich. What percent of the table do those 15 students represent? Put this

in a proportion.

1 answer:

shusha [124]3 years ago

5 0

Hello!! So any time a question says "What percent" you can immediately write down the fraction X/100. The proportion would be 15/20= x/100. Then cross multiply to get the equation 1,500=20x. Divide both sides by 20 and x equals 75! Hope this helps!

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Please help!! <br>circles combos are too hard

malfutka [58]

Answer:

56 + 53pi

Step-by-step explanation:

<u><em>Area of small circles:</em></u>

diameter of small circle: 4cm

forumla to find area of circle: A = pir^2

r is radius = half of diameter -> d/2 = 4 / 2 = 2cm

A = pi (2cm)^2

A = pi (4cm)

A = 4pi

<u><em>Area of large circle:</em></u>

diameter of small circle: 4cm

forumla to find area of circle: A = pir^2

r is radius = half of diameter -> d/2 = 14 / 2 = 7cm

A = pi (7cm)^2

A = pi (49cm)

A = 49pi

<u><em>Area of rectangle:</em></u>

Area = width x length

Area = 14cm x 4cm

Area = 56cm

<u><em>Add all three areas:</em></u>

Area of rectangle + large circle + small circle

56cm + 49pi + 4pi = 56cm + 53pi

7 0

2 years ago

Mary says the pen for her horse is an acute right triangle . is this possible ?

hjlf

Yes it is possible because the acute angle is less then 90 degrees meaning its inside the angle

7 0

3 years ago

Read 2 more answers

Last week at best bargain, 75% of computers sold were laptops. If 340 computer were sold there last week, how many laptops were

Eddi Din [679]

Total number of computers sold last week from Best Bargain = 340
Percentage of laptops sold last week from Best Bargain = 75%
These are the information's that we can find given in the question. Based on these information's the answer to the question can be easily found.
Number of laptops sold from Best Bargain last week = 340 * (75/100)
   = 340 * (3/4)
      = 85 * 3
   = 255
So out of the total of 340 computers sold from Best Bargain last week, 255 were laptops. I hope this is the answer you were looking for.

6 0

3 years ago

frozen [14]

Answer:

1170 ft³

Step-by-step explanation:

Volume of prism

= base area × height

= 90 × 13

= 1170

3 0

3 years ago

Match the numerical expressions to their simplest forms.

Aloiza [94]

Answer:

$(a^6b^1^2)^\frac{1}{3}$ = $a^2b^4$

$\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}$ = $a^3b^2$

$(\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}$ = $a^2b$

$(\frac{a^3}{ab^-^6})^\frac{1}{2}$ = $ab^3$

Step-by-step explanation:

Simplify each of the expressions:

1

$(a^6b^1^2)^\frac{1}{3}$

Distribute the exponent. Multiply the exponent of the term outside of the parenthesis by the exponents of the variable.

$(a^6b^1^2)^\frac{1}{3}$

$a^6^*^\frac{1}{3}b^1^2^*^\frac{1}{3}$

Simplify,

$a^2b^4$

2

Use a similar technique to solve this problem. Remember, a fractional exponent is the same as a radical, if the denominator is (2), then the operation is taking the square root of the number.

$\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}$

Rewrite as square roots:

$\frac{\sqrt{a^5b^3}}{\sqrt{(ab)}^-^1}$

A negative exponent indicates one needs to take the reciprocal of the number. Apply this here:

$\frac{\sqrt{a^5b^3}}{\frac{1}{\sqrt{ab}}}$

Simplify,

$\sqrt{a^5b^3}*\sqrt{ab}$

Since both numbers are under a radical, one can rewrite them such that they are under the same radical,

$\sqrt{a^5b^3*ab}$

Simplify,

$\sqrt{a^6b^4}$

Since this operation is taking the square root, divide the exponents in half to do this operation:

$a^3b^2$

3

$(\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}$

Simplify, to simplify the expression in the numerator and the denominator, the base must be the same. Remember, the base is the number that is being raised to the exponent. One subtracts the exponent of the number in the denominator from the exponent of the like base in the numerator. This only works if all terms in both the numerator and the denominator have the operation of multiplication between them:

$(\frac{a^8}{b^-^4})^\frac{1}{4}$

Bring the negative exponent to the numerator. Change the sign of the exponent and rewrite it in the numerator,

$(a^8b^4)^\frac{1}{4}$

This expression to the power of the one forth. This is the same as taking the quartic root of the expression. Rewrite the expression with such,

$\sqrt[4]{a^8b^4}$

SImplify, divide the exponents by (4) to simulate taking the quartic root,

$a^2b$

4

$(\frac{a^3}{ab^-^6})^\frac{1}{2}$

Using all of the rules mentioned above, simplify the fraction. The only operation happening between the numbers in both the numerator and the denominator is multiplication. Therefore, one can subtract the exponents of the terms with the like base. The term in the denomaintor can be rewritten in the numerator with its exponent times negative (1).

$(a^3^-^1b^(^-^6^*^(^-^1^)^))^\frac{1}{2}$

$(a^2b^6)^\frac{1}{2}$

Rewrite to the half-power as a square root,

$\sqrt{a^2b^6}$

Simplify, divide all of the exponents by (2),

$ab^3$

7 0

3 years ago