what is 68 less than 5 times a number is equal to the number?

Answer:

The answer is -4/5

Step-by-step explanation:

It just is. The test said so.

The phrase 'm less 4' or '4 less than m' can be used to represent the expression 'm-4'. The other phrases mentioned do not accurately represent the mathematical expression 'm-4'.

The phrase that you can use to represent the expression m-4 is 'm less 4' or '4 less than m'. The phrase suggests that we are subtracting 4 from variable m. The phrase 'm plus 4' would be used to represent m+4 and does not apply here. So, in expressing the concept of subtraction in a phrase, we often say things like '4 less than m' which clearly conveys that 4 is being subtracted from m.

Learn more about Mathematical Phrasing here:

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Answer: Option 'A' is correct.

Explanation:

Cost of  9 ounces of apples = $1.89

Cost of 1 ounce of apple is given by

[tex]\frac{1.89}{9}=\$0.21[/tex]

Now, if he bought 1 pound of apple,

Cost of 1 pound of apple = $2.49

Cost of 16 ounces = $2.49

(∵ 1 pound = 16 ounces)

Cost of 1 ounce of apple is given by

[tex]\frac{2.49}{16}=\$0.156[/tex]

So, Second option is the least expensive if he bought 1 pound of apple for $2.49

Then, he will save which is given by

[tex]0.21-0.156=0.054\times 16=$0.87\ per pound[/tex]

Hence, option 'A' is correct.

Final answer:

You will save $0.87 per pound by purchasing apples at the price per pound rate ($2.49) compared to the 9-ounce rate ($1.89 for 9 ounces), with the savings calculated by converting the 9-ounce price to a per pound rate and comparing it to the given per pound price.

Explanation:

To determine how much you will save per pound by buying the least expensive option for apples, first convert the price for 9 ounces into the equivalent price per pound. Since there are 16 ounces in a pound, you need to calculate the price per ounce and then multiply by 16 for the pound equivalence. The price per ounce for the first option is $1.89/9 ounces = $0.21 per ounce. Hence, the price per pound would be $0.21 per ounce × 16 ounces/pound = $3.36 per pound.

Now compare the price per pound of both options. The specified price per pound is $2.49, and the calculated price per pound for the 9-ounce option is $3.36. The savings per pound when buying the least expensive option ($2.49 per pound) would be $3.36 - $2.49 = $0.87 per pound, rounded to the nearest cent.

Therefore, the correct answer is (A) $0.87.

Let the bushels of wheat is b and weight of the wheat is w.

We can say that more the bushels of wheat more will be the weight of the wheat.

Hence, the quantities  vary directly.

Therefore, we have

[tex]b=kw[/tex],  where k is the constant of variation.

Now, we have been given that 5 bushels of wheat weigh 136 kg. Thus, we have

[tex]5=136k\\ \\ k=\frac{5}{136}[/tex]

Thus, the constant of variation is  [tex]\frac{5}{136}[/tex]

Now, we have been given 3.5 bushels of wheat. Hence, we have

[tex]3.5=\frac{5}{136} w\\ \\ w=\frac{136\times 3.5}{5} \\ \\ w=95.2[/tex]

Therefore, 3.5 bushels of wheat weigh 95.2 kg

Answer:

Option C

Step-by-step explanation:

Given in the picture is a right circular cone with base radius = 3 units and length = 15 units.

We have to find the surface area of the cone.

The total surface area of the cone is the sum of base area + lateral surface area

Base area = area of a circle = [tex]\pi r^2[/tex]

Lateral area of cone = [tex]\pi rl[/tex] where l = length of the cone.

Hence total surface area

= [tex]\pi r (r+l)\\=\pi (3)(3+15)\\=54\pi[/tex] square units

Option C is the answer.

The missing term in the geometric sequence 45, ___, 1620 is 270.

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Given the geometric sequence: 45, ___, 1620, we need to find the missing term.

Let's denote the missing term as a2 and the common ratio as r. The terms of the geometric sequence are determined by the formula:

an = a1 * rn-1

For our sequence:

We express the third term in terms of the first term and common ratio:

1620 = 45 * r2

Solving for r2:

r2 = 1620 / 45
r2 = 36
r = 6

Since the common ratio, r, is 6, we can find the missing second term, a2:

a2 = a1 * r
a2 = 45 * 6 = 270

Thus, the complete sequence is 45, 270, 1620.

Answer:

There are 3 times as many participants in the 40-59 age group than the 0-19 age group.

Step-by-step explanation:

Because when we take 20 and times it by three we get 60 and the 40-59 age group is 60 so there you go. Hope This Helps:) Brain-list would be greatly appreciated.

Answer:

A translation 12 units right and 2 units down.

Step-by-step explanation:

Given : Figure A and figure A'.

To find : Which transformation of Figure A results in Figure A'.

Solution : We have given that

Parent Triangle A with coordinates ( -6 ,-3) ; ( -4 ,-5) ; ( -8 , - 4)

Transformed triangle with  coordinates ( 6 ,-5) ; ( 8 ,-7) ; ( 4 , - 6)

We can see from the coordinates

( -6 +12 ,-3-2) = ( 6 ,-5)

( -4+ 12 ,-5 -2) = ( 8 ,-7)

( -8 + 12 , - 4 -2) =  ( 4 , - 6).

Therefore, A translation 12 units right and 2 units down.

Each DVD movie costs $12. This is calculated by setting up and solving an equation where the total spending on clothes and 3 DVDs equals the spending on 8 DVDs, as both parties spent the same amount.

To find out how much each DVD movie costs, we need to set up an equation based on the given information. You spent $60 on clothes and bought 3 DVD movies, while your friend spent $0 on clothes and bought 8 DVD movies. It is given that both of you spent the same amount of money. Let's denote the cost of each DVD movie as x.

The total amount you spent is the cost of the clothes plus the cost of the 3 DVD movies, which can be expressed as $60 + 3x. Your friend spent the cost of the 8 DVD movies, which is 8x. Since both amounts are equal, we have:

60 + 3x = 8x

Solving this equation for x:

Therefore, the price of each DVD movie is $12.

85+88+87+80+x all divided by 5= 82

340+x=410

410-340=70