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SVETLANKA909090 [29]

3 years ago

9

Alicia receives 2/5 of a $120 gift, and Jason receives 1/3 of the gift. What is the ratio of Jason's share to Alicia's share? Ex

press your answer as a common fraction. Plzzz help this is urgent

1 answer:

maria [59]3 years ago

8 0

Answer:

5/6

Step-by-step explanation:

Step 1: Find Alicia's share of the gift. To do this, all you have to do is multiply 120 by 2/5, which is 40%. 120 * 40% (0.4) is 48. Alicia's share is $48.

Step 2: Find Jason's share of the gift. In this case, divide 120 by 3. 120/3 is 40. Jason's share is $40.

Step 3: Express the numbers as a fraction and simplify it. 40/48 is the common fraction. Find the GCF of 40 and 48. When you solve for it, the GCF is 8. Divide both the numerator and the denominator by 8. 40/8 is 5/ 48/8 is 6. There. 5/6 is our simplified fraction, which is the ratio.

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Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,

gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

$q+3\leq 15...(1)$

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

$0.25q+3(0.10)\geq 2.85...(2)$

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

$q+3-3\leq 15-3$

$q\leq 12$

From 2nd inequality, we will get:

$0.25q+0.30\geq 2.85$

$0.25q+0.30-0.30\geq 2.85-0.30$

$0.25q\geq 2.55$

$\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}$

$q\geq 10.2$

Upon combining our both inequalities, we will get:

$10.2\leq q\leq 12$

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0

3 years ago

What is the measure of (2x+94) = (8x+10)

Anna [14]

I subtract 2x to 8x that is equal to 6x; then I subtract 10 from right to left. So 94-10 equal 84. Now you got 6x=84, divide 6 both side and you got the answer.

The answer is x= 14

7 0

3 years ago

The triangle below is equilateral. Find the length of side <br> x<br> x to the nearest tenth.

leonid [27]

Step-by-step explanation:

it's an equilateral triangle so all sides are equal

using Pythagorean theorem

2(√6) raised to the power of 2 = √6 raised to the power of 2 + x raised to the power of 2

2(√6) raised to the power of 2 is 12

√6 raised to the power of 2 is 6

therefore 12=6 + x

x = 12-6

x=6

6 0

2 years ago

In parallelogram RSWY, find m

LuckyWell [14K]

Answer:

Part A) $m\angle R=110^o$

Part B) $m\angle S=70^o$

Step-by-step explanation:

we know that

In a parallelogram, opposite angles are congruent and consecutive angles are supplementary

step 1

Find the value of x

we know that

$m\angle R=m\angle W$ ----> by definition of parallelogram (opposite angles are congruent)

substitute the given values

$(5x-90)^o=(2x+30)^o$

solve for x

$5x-2x=30+90\\3x=120\\x=40^o$

step 2

Find the measure of angle R

$m\angle R=(5x-90)^o$

substitute the value of x

$m\angle R=(5(40)-90)=110^o$

step 3

Find the measure of angle S

we know that

$m\angle R+m\angle S=180^o$ ---> by definition of parallelogram (consecutive angles are supplementary)

we have

$m\angle R=110^o$

substitute

$110^o+m\angle S=180^o$

$m\angle S=180^o-110^o$

$m\angle S=70^o$

8 0

3 years ago

Type a digit that makes this statement true.<br> 759,15 is divisible by 9.<br> Submit

sammy [17]

Answer:

0

This is because for a number to be divisible by 9 all the digits should add up to a number divisible by 9. Since they already do you just put a 0.

3 0

2 years ago

Read 2 more answers