Two angles are supplementary. If one measures x and the other angle measures x+ 30, what is the value of x ?

Final answer:

To share 150 pounds in the ratio of 4:1, divide the total by the sum of the parts of the ratio to find the value of one part, then multiply to find each share. The shares are 120 pounds and 30 pounds.

Explanation:

To share 150 pounds in the ratio of 4:1, you first need to add up the parts of the ratio (4 + 1 = 5 parts). Then, divide the total amount by the number of parts to find out how much one part is worth. In this case, 150 pounds ÷ 5 parts = 30 pounds per part. The ratio dictates that one share should have 4 parts and the other should have 1 part. Therefore, multiply 30 pounds by 4 to find the first share: 30 pounds × 4 = 120 pounds. The second share is just one part: 30 pounds × 1 = 30 pounds.

To summarize, the first person would receive 120 pounds and the second person would receive 30 pounds. This completes the sharing of 150 pounds in a 4:1 ratio.

Unit conversion is not directly relevant to this problem, but if you need to convert units, remember to use the proper conversion factors and set up the appropriate proportion.

To share 150 pounds in the ratio 4:1, divide the weight into 5 parts and allocate 4 parts for one ratio and 1 part for the other ratio. Each part would be equal to 30 pounds.

To share 150 pounds in the ratio 4:1, you can divide the total weight into 4 parts for one ratio and 1 part for the other ratio. To find the weight for each part, divide 150 by the sum of the ratio, which is 5 (4+1). Each part would be equal to 150/5 = 30 pounds. Therefore, in the ratio 4:1, the first part would be 4 parts x 30 pounds = 120 pounds, and the second part would be 1 part x 30 pounds = 30 pounds.

Answer:

37 minutes

Step-by-step explanation:

Final answer:

To calculate the time elapsed from 4:21 to 4:59, perform a subtraction of the two times which results in a difference of 38 minutes.

Explanation:

To find out how many minutes have passed from 4:21 to 4:59, you have to perform a simple subtraction operation. Subtract the earlier time from the later time. In this case, it's 4:59 minus 4:21.

Step 1: Note the minutes in each time. We have 59 minutes at 4:59 and 21 minutes at 4:21.

Step 2: Subtract the earlier minute count from the later one. So, 59 minus 21 equals 38.

Therefore, from 4:21 to 4:59, 38 minutes have passed.

The formula in computing the simple interest of a savings account is:

I = Prt

Where I = interest earned

             P = principal amount deposited

             r = rate

             t = time in years

You are asked to find the total amount of interest earned at the end of 5 years. Substituting the amounts to the formula:

I = $500 (4%) (5)

I = $100

Therefore, the total amount of interest earned at the end of 5 years is $100.

Answer:

1/10

Step-by-step explanation:

Answer:

The amount in the account in the  beginning of the 6th year is $6375 .

Step-by-step explanation:

Formula

[tex]Simple\ interest = \frac{Principle\times Rate\ times Time}{100}[/tex]

As given

You invest $5000 in an account at 5.5% per year simple interest.

Principle = $ 5000

Rate = 5.5 %

Time = 5 years

(As calculate amount in the account for beginning of 6th year.)

Putting all the values in the formula

[tex]Simple\ interest = \frac{5000\times 5.5\times 5}{100}[/tex]

[tex]Simple\ interest = 50\times 5.5\times 5[/tex]

Simple interest = $ 1375

Amount =  Principle + Simple interest

Putting values in the above formula

Amount =  $5000 + $1375

Amount = $ 6375

Therefore the amount in the account in the  beginning of the 6th year is $ 6375 .

The number of gallons of lemonade did Jessie sell on Monday was 14/3.

Organizing the information given in the statement, we have that:

Calculating how many gallons were sold, we have:

[tex]= 10 (2/3) - 3(1/3)\\= 32/3 - 10/3\\= 22/3[/tex]

For monday we have:

[tex]=2(2/3)-22/3\\=22/3-8/3\\=14/3[/tex]

See more about statistics at brainly.com/question/8058700

Figure stop is congruent due to the same shape and size

Final answer:

A fraction is a multiple of 1/9 if it can be written as a whole number multiplied by 1/9. For example, 2/9 is a multiple of 1/9 because it is obtained by multiplying 1/9 by 2.

Explanation:

To find which fraction is a multiple of 1/9, one can multiply 1/9 by any whole number. For instance, if we multiply 1/9 by the number 2, we obtain 2/9. This resulting fraction is indeed a multiple of 1/9 since we have simply doubled the numerator while keeping the denominator the same. When we multiply both the numerator and the denominator by the same factor, we are maintaining the proportion, hence a multiple of 1/9.

So the question at hand is about identifying a fraction that, when simplified, would be a whole number times 1/9. Such fractions can be formed by multiplying the numerator (1) of 1/9 by any non-zero integer and keeping the denominator (9) constant. For example, 3/9 is a multiple of 1/9 as 3 is a whole number and 3/9 can be simplified to 1/3, which is 3 times 1/9.

65 more points Andrew than Emily has in order to have the same points.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Given that,  Andrew and Emily are engaged in wordplay. They receive 10 points for each accurate response, and they deduct 5 points for each erroneous response. Andrew has 55 points at the end of the game, while Emily has -10 points.

We have to apply the subtraction operation to find how many more points Andrew has than Emily has,

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

=55-(-10)

=65

Thus, 65 more points for Andrew than Emily in order to have the same points.

Learn more about the arithmetic operation here:

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Answer: Final cost will be $2.75.

Step-by-step explanation:

Since we have given that

Cost of salsa container = $3.25

Off on coupon = $0.50

Final cost of one salsa container is given by

[tex]3.25-0.50\\\\=\$2.75[/tex]

Hence, the final cost will be $2.75.

if he bought two containers

Cost of two containers is given by

[tex]3.25\times 2\\\\=\$6.50[/tex]

Coupon 50% off is given by

[tex]6.50\times 0.5\\\\=3.25[/tex]

So, Final cost is given by

[tex]6.25-3.25-0.5\\\\=\$2.75[/tex]

Hence, Final cost will be $2.75.