1) Six decreased by five times a number is thirty-one.

2) The product of five and a number increased by seven is twenty-seven.​

Answer:

$4,515.28

Step-by-step explanation:

In 20 years you will have $4,515.28 If there is a 3% interest rate

Answer:37

Step-by-step explanation:

The general form of the quadratic function is x² - 2 · x - y + 5 = 0.

In this question we must derive the equation of the parabola in vertex form, whose description is shown below:

4 · p · (y - k) = (x - h)²      (1)

Where:

If we know that (h, k) = (1, 4) and (x, y) = (- 3, 20), then the distance from vertex to focus is:

p = (x - h) / [4 · (y - k)]

p = (- 3 - 1)² / [4 · (20 - 4)]

p = (- 4)² / 64

p = 16 / 64

p = 1 / 4

Then, the equation of the parabola in vertex form is y - 4 = (x - 1)². And now we find the general form of the quadratic formula, that is:

A · x² + B · x + C · y + D = 0          (2)

Then, we proceed to obtain the general form:

y - 4 = (x - 1)²

y - 4 = x² - 2 · x + 1

x² - 2 · x - y + 5 = 0

The general form of the quadratic function is x² - 2 · x - y + 5 = 0.

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Answer:600

Step-by-step explanation:

We have, 125% * x = 750

Multiplying both sides by 100 and dividing both sides by 125

we have x = 750 * 100/125

you then get X=600

Answer:x=600

Step-by-step explanation: Multiplying both sides by 100 and dividing both sides by 125

The value of x for which the numerical length of SP is equal to PT is 1/2.

Number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Given are the coordinates of three points S,T and P on number line. Also the numerical length of SP is equal to PT. From the question, we can write -

→ Point S at 0.

→ Point T at 1.

→ Point P at x.

It is given that -

SP = PT

Distance between S and P = Distance between P and T.

x - 0 = 1 - x

2x = 1

x = 1/2

Therefore, the value of x for which the numerical length of SP is equal to PT is 1/2.

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Answer: 4(y-5).

I don't exactly know what you want, but I assumed you wanted me to put it in number form.

Here you go :D

Answer:

384

Step-by-step explanation:

480x20%=96

480-96=384

Answer:

pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year.

Step-by-step explanation:

Answer:

138.18 square yards

Step-by-step explanation:

Assuming the figure is a rectangle because it isn't said that it is otherwise, you would multiply the numbers together and get 138.18 square yards.

The ratios of the food coloring drops that would create the same orange icing are

Ratios are quantitative measures of how much a variable is contained in another.

Ratios show numerical relationships between quantities.

Ratios are expressed as decimals, fractions, and percentages.

The mixture of red coloring = 4 drops

The mixture of yellow coloring = 6 drops

The ratio of red to yellow coloring = 4:6 or 2:3

Choice 1- 2 red:3 yellow = 2:3 (already simplified)

Choice 4- 28 red:42 yellow = 2:3 (when simplified by 14)

Choice 5- 44 red:66yellow = 2:3 (when simplified by 22)

Thus, the ratios of the food coloring drops that would create the same orange icing are Choices 1, 4, and 5.

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Answer:

Step-by-step explanation:

20.75 miles x 4 = 83 miles

30.25 miles x 4 = 121 miles

Now take the 83 and multiply by 7 for the 7 weeks and multiply the 121 also by 7.

83 x 7 = 581

121 x 7 = 847

Now add the 581 miles with the 847 to get the total miles travelled.

581+847 = 1428 Miles

Answer: The delivery person travels 1428 miles

Based on the change in the water levels of the ten birdbaths in the park, the range of the data is 4.2.

To find the range of a distribution of numbers, you need to subtract the smallest number from the largest number.

The largest number in the distribution of birdbaths is 2.6 and the smallest number in the distribution is -1.6

The range is therefore:
= 2.6 - (-1.6)

= 2.6 + 1.6

= 4.2

The range of numbers are:

2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6

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Scale factor that takes triangle ABC to triangle DEF = 2/3

Scale factor that takes triangle DEF to triangle ABC = 3/2

Scale factor = side length of new figure/corresponding side length of original figure.

Given:

Scale factor that takes triangle ABC to triangle DEF = 8/12

Scale factor that takes triangle ABC to triangle DEF = 2/3

Scale factor that takes triangle DEF to triangle ABC = 12/8

Scale factor that takes triangle DEF to triangle ABC = 3/2

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Answer:

$32

Step-by-step explanation:

56+8=64

64/2=32

The expression is simplified to 1 over c raised to the twentieth power. Option C

The index form of a number can be defined as the number written as an exponential expression.

It is expressed as a single number raised to another number.

Another name for index form is standard form or scientific notation.

Index notation is also a way of representing variables or constants multiplied by themselves a number of times.

Example of index forms are:

a²

b³

c²

From the information given, we have to simplify

(c^4)^−5

Using the rule of indices, we have to multiply the powers

c^-20

Thus, the expression is simplified to 1 over c raised to the twentieth power. Option C

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Answer:

1 over c raised to the twentieth power

Step-by-step explanation:

Based on the calculations, Mrs. Mayes spent the least time working on Wednesday.

A fraction can be defined as a numerical quantity which isn't expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In Mathematics, a fraction comprises two (2) main parts and these include the following:

In order to determine when Mrs. Mayes spent the least time working, we would convert the given mixed fractions into a proper fraction and then decimal. Lastly, we would then compare as follows:

Monday = 5 2/5 = 27/5 = 5.4.

Tuesday = 5 5/8 = 45/8 = 5.625.

Wednesday = 5 3/8 = 43/8 = 5.375.

Thursday = 5 4/5 = 29/5 = 5.8.

Based on the calculations above, we can reasonably infer and logically deduce that Mrs. Mayes spent the least time working on Wednesday.

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Complete Question:

The following table shows the amount of time Mrs. Mayes spent word processing each day for four days. On which day did Mrs. Mayes spend the least time working?

The correct option is third graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We have the function

f(x)= |x|

The third graph represent the f(x)= |x|.

This is because the absolute value equations grow at a constant rate.

Also, they are absolute so they are also positive.

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a. My estimate of the answer by rounding to the nearest whole numbers before subtracting is $19.00 and $2.00

b. Given the difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.

c. The difference of the estimate is $17

Given that:

Randy had $18.80 in his wallet.

He spent $1.75 on a drink

If we round $18.80 to the nearest whole number, it would be $19.00

Rounding off $1.75 to the nearest whole number, it would be $2.00

The difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.

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Answer:

Step-by-step explanation:

Givens

(x - 1)(6x - 5) = 0

Solution

Either one of these can be made into 0 by solving the binomials in the brackets.

x - 2 = 0               Add 2 to both sides

x -2 +2= 0+2       Combine

x = 2

6x - 5 = 0             Add 5

6x -5+5 = 0+5     Combine

6x = 5                   Divide by 6

6x/6=5/6

x = 5/6

Answer

Integer Answer: x = 2

Fractional Answer x = 5/6

Answer:

$13.08

Step-by-step explanation:

If the price on pump is half the actual price, we just need to double what it says

So

$6.54 x 2 = $13.08

A

Or maybe something else is not sure

The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope remains constant throughout the data.

Then the slope of the function f(x) at different stages is given as,

⇒ (14 - 10) / (2 - 1)

⇒ 4

⇒ (22 - 18) / (4 - 3)

⇒ 4

Then the slope of the function g(x) at different stages is given as,

⇒ (12- 10) / (2 - 1)

⇒ 2

⇒ (22 - 16) / (4 - 3)

⇒ 6

The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.

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The expression represented by the quotient of y and 5 is y/5

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

the quotient of y and 5.

Quotient means divide

So, we have

the quotient of y and 5 => y/5

Hence, the expression represented by the quotient of y and 5 is y/5

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Answer: yes it is true .

Step-by-step explanation:

If the function f(x) is either always increasing or always decreasing then it has an inverse function f –1(x). The Range of f(x) becomes the Domain of f –1(x). We find the equation of the inverse by solving the equation y = f(x) for x.

The teacher will make a decision like this because D. It is easier to compare measurements when using the same unit system.

It should be noted that in this case, the students are measuring the masses of several rocks and they have a scale that can show readings in pounds or kilograms. The teacher requires that they all make their measurements in kilograms.

It should be noted that the teacher will make a decision like this because it is easier to compare measurements when using the same unit system.

Therefore, the correct option is D.

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Answer:

∠ D2 = 16°

Step-by-step explanation:

complementary angles sum to 90° , then

∠ D1 + ∠ D2 = 90°

74° + ∠ D2 = 90° ( subtract 74° from both sides )

∠ D2 = 16°

If two angles are complementary they add up to a total of 90 degrees.

So we know that

D1+D2=90, because the problem tells us they're complementary

Now, we know as well that D1 = 74, so we can plug it into the little equation and solve in terms of D2.

[tex]D1+D2=90[/tex]

[tex]74+D2=90[/tex]

[tex]D2=90-74[/tex]

[tex]D2=16[/tex]

hope it helps have a great time learning!

Answer:

10 million

Step-by-step explanation:

The value is how many time i did Your mom