A customer at a raceway can drive around the track 54 times for $12. At this rate, how many times can the customer drive around the track for $8?

The ratio of blue to yellow paint should be 4:5 to get the desired shade of green. Mixing 16 quarts of blue paint with 25 quarts of yellow does not meet this ratio; thus the exact shade will not be achieved.

The subject of the question is Mathematics, and it involves the concept of ratios and proportions to achieve a desired color mix. To determine whether mixing 16 quarts of blue paint with 25 quarts of yellow paint will produce the desired shade of green, we must ensure that the ratio of blue to yellow in the mixture is the same as the required ratio. The desired ratio is 4 parts blue to 5 parts yellow. Simplifying this ratio, we have 4/5, which means that for every 4 units of blue, there should be 5 units of yellow.

Illustrating this with an equation:
(16 quarts blue) / (25 quarts yellow) = 4/5?
Reducing the given amounts,
16/25 = ? 4/5
Now, the simplified form of 16/25 is 16/25 itself, while 4/5 is equivalent to 0.8. Since 16/25 is not equivalent to 4/5, the mixture of 16 quarts of blue paint and 25 quarts of yellow paint will not give us the exact desired shade of green. Therefore, to get the precise shade, an adjustment in paint quantities to reflect the 4:5 ratio would be needed.

No, the desired shade of green will not be achieved with the given mixture of blue and yellow paint.

To determine if you will get the desired shade of green, we need to compare the ratio of blue to yellow in the desired shade with the ratio of blue to yellow in the mixture. The desired shade requires a ratio of 4 parts blue to 5 parts yellow. The mixture has a ratio of 16 parts blue to 25 parts yellow. To compare the ratios, we can simplify them. The desired shade ratio simplifies to 4:5, and the mixture ratio simplifies to 16:25. Since these ratios are not equivalent, the mixture will not result in the desired shade of green.

Answer: Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3 =45 hours.

Step-by-step explanation:

Given : Duration of Tina practiced piano last month=  15 hours

Duration of Tina practiced piano this month=  45 hours

We can see 45 is a multiple of 15 such that [tex]45=15\times3[/tex]

Therefore, Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3= 45 hours.

Mr. Dixon saved approximately $509.90 by buying the whiteboard on sale, calculated by subtracting the sale price from the regular price.

To estimate the amount of money Mr. Dixon saved by buying the whiteboard on sale, you subtract the sale price from the regular price. The regular price was $2,499.89, and the sale price was $1,989.99. So, the estimated savings would be:

Regular Price - Sale Price = Savings

$2,499.89 - $1,989.99 = $509.90

Therefore, the best estimate of the amount Mr. Dixon saved is $509.90.

Answer: There are 26 cookies from the roll.

Step-by-step explanation:

Since we have given that

Thickness of roll = 13 inches

Thickness of cookie that are cut off from the roll = [tex]\dfrac{1}{2}[/tex]

We need to find the number of cookies that are cut off from the roll.

So, Number of cookies is given by

[tex]\dfrac{13}{\dfrac{1}{2}}=13\times 2=26[/tex]

Hence, there are 26 cookies from the roll.

Out of the 64 musicians, 40 are guitarists, and the ratio of jazz to classical guitarists is 1:4. There are 10 jazz guitarists, and by subtracting this from the total, it's found that 30 guitarists play classical solos.

To determine how many guitarists play classical solos in the music contest, we first find out the total number of guitarists.

Since 5/8 of the 64 musicians are guitarists, we multiply 5/8 by 64 to get the number of guitarists, which is 40.

Knowing that the ratio of guitarists playing jazz solos to the total number of guitarists is 1:4, we can say that for every 4 guitarists, 1 plays jazz solos.

Therefore, if we divide the total number of guitarists, 40, by 4, we will find out how many play jazz solos:

40 / 4 = 10.

The rest of the guitarists play classical solos, which is computed by subtracting the number of jazz soloists from the total number of guitarists:

= 40 - 10 = 30.

So, 30 guitarists play classical solos in the contest.

Answer:

When we want solve expression mentally, that is, without writing down anything, a nice way is to separate number in simpler expressions, like tens for example.

So, in first place we could multiply 7 x 50, which involves a number expressed in tens, this product would be 350, then we multiply 7 x 3, which is 21, at the end, we sum both results 350 + 21 = 371. Therefore, the product is 371.

7 x 50 + 7 x 3 = 350 + 21 = 371

Answer:

30.60

Step-by-step explanation:

k12

Answer:

[tex]y=17x-187[/tex] where x>11

Step-by-step explanation:

Niall gets $34 for 2 hours.

So, he gets [tex]34/2=17[/tex] dollars per hour.

Now he owes $187 to his cousin.

Let the number of hours he works be = x

Let the money left with him after paying his cousin be = y

So, the equation forms:

[tex]y=17x-187[/tex]

Rather we can say it is :

[tex]y=17x-187[/tex] where x>11

If we want to know how many hours are needed to pay the debt, we can consider y = 0

[tex]17x-187=0[/tex]

[tex]17x=187[/tex]

[tex]x=187/17[/tex]

So, x = 11 hours

He needs 11 hours of work to pay back his cousin and after that all his earnings is 'y'. When x>11 then 'y' will have some money left.

The number of inches that he grows during this time will be 1  7/8 inches.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Scott was 63 3/8 inches tall when he started seventh grade and 65 1/4 inches tall when he started eighth grade.

Then the number of inches that he grows during this time will be

⇒ 65 1/4  -  63 3/8

⇒ 264/4 - 507/8

⇒ 15/8

⇒ 1  7/8 inches

The number of inches that he grows during this time will be 1  7/8 inches.

More about the Algebra link is given below.

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The answer is A: 3,780.

To find the quotient of 56,700 ÷ 15, we need to perform the division step-by-step:

Therefore, the quotient of 56,700 ÷ 15 is 3,780 which corresponds to option A.

The product of smallest two digit number gives the three digit number.

In mathematics, a product is the outcome of multiplying two or more numbers together.

The multiplication of two or more numbers results in the product.

As, we know that the product means the multiplication of two numbers.

Now, if we multiply two dight number with a two digit number.

As, the greatest two digit number is 10.

So, 10 x 10 = 100

Thus, the product of smallest two digit number gives the three digit number.

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By calculating the cost per ticket at $7.75 and then multiplying by 12, the total comes to $93.00. Therefore, the Suarez family can use their $100 gift certificate to buy 12 movie tickets.

The Suarez family wants to find out if they can buy 12 movie tickets with a $100 gift certificate, given they paid $23.25 for 3 tickets. First, calculate the cost per ticket by dividing the total cost by the number of tickets purchased:

Now, multiply the cost per ticket by the number of desired tickets to get the total cost:

Since $93.00 is less than the $100 gift certificate, the family can indeed use their gift certificate to purchase 12 movie tickets.

we know that

The Domain of the function are all the values of x that can take the function

in this problem the domain is

[tex]{x | x = -5, 1, 4, 6}[/tex]

The Range of the function are all the values of y that can take the function

in this problem the range is

[tex]{y | y = 9, 0, -7, -1}[/tex]

therefore

the answer is the option

B.{y | y = –7, –1, 0, 9}