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2 years ago

Find the value of x write your final answer as x=...

Mathematics

1 answer:

Anastaziya [24]2 years ago

5 0

Answer:

Step-by-step explanation:

The small square represents a 90 degree angle. So you know 1 angle

5x + 4x + 90 = 360 because you have a circle in the center. Combine left.

9x + 90 = 360 Subtract 90 from both sides

9x = 360 - 90 Combine

9x = 270 Divide by 9

x = 270/9

x = 30

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the perimeter of a rectangle is 222 millimeters if the length of the rectangle is 60 millimeters what is the width of the rectan

trapecia [35]

Perimiter=legnth+legnth+width+width=2lengt+2width

lesngh=60
perimiter=60+60+2width
perimiter=120+2widht
222=120+2width
subtract 120 from both sdies
102=2width
divide by 2
51 mm=width

8 0

3 years ago

Splitting investments. Joan had $3,000 to invest. She invested part of it in an investment paying 8% and the remainder in an inv

loris [4]

Answer:

Step-by-step explanation:

From the given information:

Let assume that the invested amount in the investment paying 8% interest is a

Now, since the total amount invested = $3000.

Then, the amount invested in the investment that will be paying 10% interest can be represented as:

= $(3000-a)

Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a

Income earned from $(3000-a) in the 10% investment is:

= $(3000-a)× 10/100

= $(300 - 0.1a)

Since total income of the two investment = $290;

Then;

0.08a + (300 - 0.1a) = 290

0.08a + 300 - 0.1a = 20-

300 - 0.02a = 290

-0.02a = -10

a = -10/-0.02

x = 500

Thus;

the amount invested in an investment paying 8% interest = $500

the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500

4 0

3 years ago

Round to the nearest tenth: 6.752

Talja [164]

Answer:

6.8

Step-by-step explanation:

To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.

6 0

2 years ago

The quotient of 5 divided by 2 minus the product of 5 and q

slava [35]

Answer:

5/2-5q

Step-by-step explanation:

8 0

3 years ago

Jim's soccer team is making fruit baskets for a fundraiser. They have 88 peaches, 60 bananas, and 54 kiwis to use. If each baske

cluponka [151]

The greatest number of fruit baskets they can make is 2 with each one having 44 peaches, 30 bananas and 27 kiwis

<h3><u>Solution:</u></h3>

Jim’s fruit basket has 88 peaches, 60 bananas and 54 Kiwis to use.

If each basket have same number of each type, we have to determine the greatest number of fruit baskets they can make

We need to find greatest common factor of 88, 60 and 54

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 88, 60 and 54:</u></em>

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 88 are: 1, 2, 4, 8, 11, 22, 44, 88

Then the greatest common factor is 2

On dividing the number of fruits by 2 we get

$\begin{array}{l}{\text { Apples in each basket }=\frac{88}{2}=44} \\\\ {\text { Bananas in each basket }=\frac{60}{2}=30} \\\\ {\text { Kiwis in each basket }=\frac{54}{2}=27}\end{array}$

Hence, there can be 2 basket with each one having 44 peaches, 30 bananas and 27 kiwis

6 0

4 years ago