Write and solve an equation for the situation.
4. The sum of 7 and u is 14. (1 point)
7+u = 14; u = 7
14+7=u: u = 21
7+u = 14: u = 8
7+14=u: u = 21

Answer:

1/8

Step-by-step explanation:

(3/4)÷6

3/24

1/8

If line PQ bisects line ST at point R and SR=3x+3 and ST=30 then the value of x = 4.

As given in the question,

Line PQ bisects ST at point R

SR=3x+3

ST=30

R is the midpoint of ST as PQ bisects ST this implies

Line SR=1/2 of line (ST)

⇒SR=ST/2

Substitute the value of SR and ST in the given condition

  3x+3=30/2

⇒3x+3=15

Subtract 3 from both the sides

⇒3x=12

Divide both the side by 3

⇒3x/3=12/3

⇒x=4

Therefore, for the  line PQ bisects line ST at point R and SR=3x+3 and

ST=30 then the value of x is equal to 4.

The complete question is:

If the line PQ bisects line ST at point R. SR=3x+3 and ST = 30. Find x.

a. x= 8      b. x =6           c. x =2          d. x= 4

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Answer:

x = 60°

Step-by-step explanation:

See picture below.  When two parallel lines are cut by a transversal there are some special relationships.

Answer:

x = 60°

Step-by-step explanation:

∠ ABO and ∠ CBO are a linear pair and sum to 180° , that is

∠ ABO + ∠ CBO = 180°

150° + ∠ CBO = 180° ( subtract 150° from both sides )

∠ CBO = 30°

∠ XYO and ∠ CBO are alternate angles and are congruent , so

∠ XYO = 30°

∠ XOY and ∠ COY are a linear pair and sum to 180° , then

∠ XOY + ∠ COY = 180°

∠ XOY + 90° = 180° ( subtract 90° from both sides )

∠ XOY = 90°

the sum of the 3 angles in Δ XOY = 180° , that is

x + 90° + 30° = 180°

x + 120° = 180° ( subtract 120° from both sides )

x = 60°

Approximately 6.8 hours Alyssa spends on the train per day.

Given that, Alyssa spent 365 hours commuting on the train over the course of 54 days.

We need to find the number of did Alyssa spend on the train per day.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of hours Alyssa spends on the train per day be x.

Now, x=365/54

=6.759≈6.8 hours

Therefore, approximately 6.8 hours Alyssa spends on the train per day.

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The relationships

a. the distance traveled on a trip and the travel time

c. the amount of money spent and the number of shirts bought

are have the positive associations.

Positive associations:

Two variables have a positive association when the values of one variable tend to increase as the values of the other variable increase.

Given,

Here we have the following relationships,

a. the distance traveled on a trip and the travel time

b. the distance remaining on a trip and the travel time

c. the amount of money spent and the number of shirts bought

d. the height of an eighth- grade student and the time to complete a puzzle

e. the amount of money owed on a computer and the time making payments

We need to find the positive associations in it.

Based on the definition of positive association,

The options (a) and (c) are the relationships that are in positive association.

Because while we look into the option (a),

When the traveling distance is increased then the time taken for it also increased.

Similarly in option (c),

While we increase the amount then the number of shirt we brought will also be increased.

The other options are not fit in this case.

So, option (a) and (c) are in positive association.

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Answer:

f(0) = - 81

Step-by-step explanation:

f(0) means what is the value of f(x) when x = 0

substitute x = 0 into f(x)

f(0) = 12(0)² - 81 = 12(0) - 81 = 0 - 81 = - 81

Answer:

For the first one:

A' (-8,6)

B' (-9,10)

C' (-3,9)

D' (-2,5)

Step-by-step explanation:

Answer:

length = area/width

Step-by-step explanation:

The width is missing.

area = length × width

length = area/width

Divide the area by the width to find the length.

The number of glasses of lemonade that can be poured from the cooler is 45.

Given that, an insulated cooler holds 558 ounces of lemon.

We need to find how many full 12.4-ounces glasses of lemonade can be poured from the cooler.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, the number of glasses of lemonade = 558/12.4

=45

Hence, the number of glasses of lemonade that can be poured from the cooler is 45.

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Answer:

https://www.omnicalculator.com/math/slope

Step-by-step explanation:

go there and you will get the answers or just type in Brainly on search bar the same question your asking on here!

Answer:

x = 64

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees, so the missing angle in the triangle on the right has an angle measurement of 180 - 47 - 81 = 52 degrees.

Since the angle and the rightmost angle in the triangle on the right are vertical angles. They are congruent.

Finally, since the triangle on the left is an isosceles triangle and the base angles, the angles on the top left and bottom left, are congruent and therefore their angle measures are both x degrees. So, 2x + 52 = 180 and x = 64.

Answer: 18

Step-by-step explanation:

12 divided by 2 = 6

6 x 3 = 18

Answer:

the answer is 18

Step-by-step explanation:

this is because 12 divided by 2 = 6

6 x 3 = 18

For the given sample data, 42, 25, 86, 30, 25, 15, 42, 42, the mode is 42.

In statistics, the mode, denoted by Mo, refers to the most frequent value or values in the data set. If all the numbers in the data set appears only once, then the data set has no mode.

For the given sample data,

42, 25, 86, 30, 25, 15, 42, 42

the number 42 appears thrice, 25 appears twice and the rest appears only once.

The number 42 appeared the most frequent among all the other data.

Hence, the mode of the data set that contains 42, 25, 86, 30, 25, 15, 42, 42 is 42.

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The Total number of miles that Laney walked is 65 miles.

From the information, Laney walks 13 miles to school from her house and rides the bus home and she walked five days last week.

Therefore, the total number of miles that he walked will be:

= 13 × 5

= 65 miles.

Therefore the miles is 65 miles.

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Usando una función lineal, tenemos que:

Con cada año adicional, la cantidad en la cuenta es incrementada en 60.

Una función lineal es modelada por:

y = mx + b

En el cual:

En este problema, hay que la pendiente es de 60, puesto que en cada año la cantidad aumenta en $60, por eso:

Con cada año adicional, la cantidad en la cuenta es incrementada en 60.

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Answer:

3(x+4)=5x-9

or,3x+12=5x-9

or,12+9=5x-3x

or,21=2x

orx=21/2

x=10.5

The value of x from the given rectangle is 10.5 units.

The opposite sides of a rectangle are 3(x+4) and 5x-9.

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

Now, the opposite sides of a rectangle are congruent

So, 3(x+4) = 5x-9

⇒ 3x+12=5x-9

⇒ 5x-3x=12+9

⇒ 2x=21

⇒ x=10.5 units

Therefore, the value of x from the given rectangle is 10.5 units.

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Let the number of sweets Mrs. Chua has be x

And the number of children be y

So,

x-8y=3 ------- 1️⃣

x-9y= -2 ------- 2️⃣

Change the signs of equation 2️⃣

x-8y=3

+x-9y=-2

- + +

__________

Substitute equation 3️⃣ in equation 1️⃣ :

[tex] \sf \: x - 8y = 3[/tex]

[tex] \sf \: x - 8 \times 5 = 3[/tex]

[tex] \sf \: x - 40 = 3[/tex]

[tex] \sf \: x = 3 + 40[/tex]

[tex] \tt \: x = 43[/tex]

Therefore, The total number of children i.e. y is 5 and the total number of sweets Mrs. Chua i.e. x is 43...

Answer:

-3x + 28y - 21

Step-by-step explanation:

[tex]7y+21y=28y\\=-3x+28y-21[/tex]

• Add the similar factors and carry over the uncommon factor, -3x.

385 people get on an empty train at a station. At the first stop, 264 more people get on the train, and 89 people get off. There are no more stops until the train reaches it final destination, where everybody gets off the train.

560 is the answer

560 people get off the train at the final destination.

Given that 385 people get on an empty train. At the first stop, 264 more people get on, and 89 people get off.

There are no more stops until the train reaches it final destination,

We need to find the number of the people who get off the train at the final destination.

To find out how many people get off the train at the final destination, let's break down the information given step by step.

385 people get on the empty train at the station.

At the first stop, 264 more people get on the train, bringing the total number of people on the train to 385 + 264 = 649.

Additionally, 89 people get off the train at the first stop.

After the first stop, there are no more stops until the final destination.

To find out how many people get off at the final destination, we need to subtract the number of people who got off at the first stop from the total number of people on the train after the first stop.

Total number of people on the train after the first stop = 649 (from step 2)

People who got off at the first stop = 89 (from step 3)

Number of people who get off at the final destination = Total number of people on the train after the first stop - People who got off at the first stop

Number of people who get off at the final destination = 649 - 89 = 560

Therefore, 560 people get off the train at the final destination.

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Answer:

0.6

Step-by-step explanation:

Divide 2 by 3 to convert 2/3 in its decimal form.

The quotient obtained on dividing 2 by 3 will be 0.6

So, the decimal form of 2/3 is a non-terminating and recurring decimal number 0.6

Answer:

x = 3

Step-by-step explanation:

Since both have f(x), the substitution method can be used.

1. f(x) = -3x - 1

2. f(x) = -10

Therefore,

-3x - 1 = -10

Flip to positive to calculate more easily since all are negative (although, this is optional.)

3x + 1 = 10

3x + 1 - 1 = 10 - 1 (to make one side x and other side number)

3x = 9

x = 3

Hope this helped! ^^

For 5 months site b be less expensive than site a.

From the given question we get to know that on-site $50 is a must and %5 will be paid per month, and on-site b $15 will be per to promote his brand and there is no start-up fee.

Let's take the n to be x.

We have to find how many months will b site be less expensive than site a.

So total expenses for site a = 50 + 5x

and total expenses for site b = 15x

We get an equation

50+5x =15x

10x=50

x=5

Therefore for 5 months site b will be less expensive than site a.

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Ordinal is the answer.

In the given statement is:
A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) ____ scale.

Ordinal Scale is the 2nd level of measurement that reports the ranking and ordering of the data without actually establishing the degree of variation between them. Ordinal level of measurement is the second of the four measurement scales. "Ordinal" indicates "Order".

Hence, The answer is Ordinal

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With 70% off the regular price, a dishwasher, regularly priced at $519.89, will be $155.97 only. The answer is C.

Discount is the deduction in the price of a good or service. When this reduced price is expressed in percentage then we call it a discount rate.

If the discount is given in percent, then the amount of discount can be found by using the formula:

Amount of Discount = Regular Price × Rate of Discount

If the regular price of a dishwasher is $519.89, and the discount rate is 70%, using the formula, solve for the discount value.

Amount of Discount = $519.89 x 70%

Amount of Discount = $519.89 × 0.70

Amount of Discount = $363.92

To get the final price of the dishwasher, subtract the discount value from the original or regular price.

price = $519.89 - $363.92

price = $155.97

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Answer:

C

Step-by-step explanation:

given the zeros x = a and x = b then the corresponding factors are

(x - a) and (x - b)

then f(x) is the product of these factors

given zeros x = 6 and x = - 4 then the factors are

(x - 6) and (x - (- 4)) , that is (x - 6 and (x + 4) , then

f(x) = (x - 6)(x + 4)

The original dimensions (length and width) of this rectangular piece of metal are 19.81 inches and 14.81 inches respectively.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

Given the following data:

Length, L = W + 5

Since squares of 1 in long are cut from the four corners, the length and width are reduced by 2 in. Also, the height of the box would be 1 inches.

Therefore, the volume of this rectangular box is given by:

456 = (L - 2) × (W - 2) × 2

456 = (W + 5 - 2) × (W - 2) × 2

456 = (W + 3) × (W - 2) × 2

228 = (W² - 2W + 3W - 6)

228 = W² + W - 6

W² + W - 6 - 228 = 0

W² + W - 234 = 0

Next, we would solve the quadratic equation by using the quadratic formula:

[tex]W = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\W = \frac{-1\; \pm \;\sqrt{1^2 - 4(1)(-234)}}{2 \times 1}\\\\W = \frac{-1\; \pm \;\sqrt{1 + 936}}{2}\\\\W = \frac{-1\; \pm \;\sqrt{937}}{2}[/tex]

Width, W = 14.81 or -15.81

Since the width cannot be negative, the value of W is equal to 14.81 inches.

For the length, we have:

Length, L = W + 5

Length, L = 14.81 + 5

Length, L = 19.81 inches.

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