Evaluate the following expressions. Let a = 5, b = -4, and c = 10.

12. ab =

13. b + c =

14. c/5 =

15. C - 5 =​

Answers

Answer 1

Answer: -20, 6, 2, 5

Step-by-step explanation:

a = 5, b = -4, c = 10

12. ab = 5(-4) = -20

13. b + c = -4 + 10 = 6

14. c/5 = 10/5 = 2

15. c - 5 = 10 - 5 = 5


Related Questions

6(x – 1) = 9(x + 2)

how do i get this right

Answers

the answer is x= -8 yasss

Answer:

x = -8

Step-by-step explanation:

6(x – 1) = 9(x + 2)

Add 6 to both sides

6x - 6 + 6 = 9x + 18 + 6

Simplify

6x = 9x + 24

Subtract 9x from both sides

6x - 9x = 9x + 24 - 9x

Simplify

-3x = 24

Divide both sides by: -3

-3x/-3 = 24/-3

Simplify

x = -8

Suppose a river flows south to north at a velocity of 1 m/s, and a motorboat traverses the river from east to west at a speed of 2.5 m/s. At what angle should the boat be oriented south, relative to the westward direction, such that the boat will be traveling due west? Round to the nearest degree.

Answers

Answer: [tex]24^{\circ}[/tex]

Step-by-step explanation:

Given

River is flowing from south to North with a velocity of [tex]u=1\ m/s[/tex]

Motor boat traverses the river from east to west at a speed of [tex]v=2.5\ m/s[/tex]

South component of boat velocity must compensate the river velocity in order to travel in west direction.

[tex]\therefore v\sin \theta=u\\\\\Rightarrow 2.5\sin \theta=1\\\\\Rightarrow \sin \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=23.57^{\circ}\approx 24^{\circ} \text{south of west}[/tex]

Find the next term in this
arithmetic sequence.

Answers

Answer:

-11/4

Notice the minus sign is already written

Enter 11/4

Step-by-step explanation:

First find the common difference

9/4 - 7/2

9/4 - 14/4

-5/4

We are subtracting 5/4 each time

-3/2 - 5/4

-6/4 - 5/4

-11/4

Notice the minus sign is already written

Enter 11/4

Answer: The answer is -11/4

Can anyone help since im struggling with finding the answer!

Answers

Answer:  296

==========================================================

Explanation:

You'll need the chain rule for this one.

[tex]y = 3x^3 + 4x\\\\\frac{d}{dt}(y) = \frac{d}{dt}\left(3x^3 + 4x\right)\\\\\frac{dy}{dt} = \frac{d}{dt}\left(3x^3\right) + \frac{d}{dt}\left(4x\right)\\\\\frac{dy}{dt} = 3\frac{d}{dt}\left(x^3\right) + 4\frac{d}{dt}\left(x\right)\\\\\frac{dy}{dt} = 3*3\left(x^2\right)*\frac{dx}{dt} + 4\frac{dx}{dt}\\\\\frac{dy}{dt} = 9x^2\frac{dx}{dt} + 4\frac{dx}{dt}\\\\\frac{dy}{dt} = (9x^2+4)\frac{dx}{dt}\\\\[/tex]

Now apply substitution

[tex]\frac{dy}{dt} = (9x^2+4)\frac{dx}{dt}\\\\\frac{dy}{dt} = (9*4^2+4)*2\\\\\frac{dy}{dt} = 296\\\\[/tex]

Answer:

296

Step-by-step explanation:

I just did the math and I also got 296.

please me in the math
[tex]6 {x}^{6} + 6 {x}^{4} + 6 {x}^{2} and \: \\ 4 {x}^{6} - 4 {x}^{x} \\ it \: is \: lcm[/tex]

Answers

Answer:

I'm sorry I'm not good at math

Step-by-step explanation:

sorry

2(3x^6 + 3x^4 + 12x^8 - 2x^x)

help please!!! will mark brainiest later

Answers

1. 1/2

2. The Y axis

3. 1 right and 1 down (1, -1)

please help me with this

Answers

Answer:

4y2 - 12y

Step-by-step explanation:

2+4y-16y+32(Combine like-terms)

2−12y+32(Combine like-terms)

Answer:

The answer is [tex]4y^{2} -12y[/tex]

Step-by-step explanation:

To simplify the polynomial, start by combining like terms. Add [tex]y^{2}[/tex] and [tex]3y^{2}[/tex] to get [tex]4y^{2}[/tex]. Then, subtract [tex]16y[/tex] from [tex]4y[/tex] to get [tex]-12y[/tex]. Finally, the simplified answer is [tex]4y^{2} -12y[/tex].

Which choice is equivalent to the expression below?
-25

Answers

Answer:

5i

Step-by-step explanation:

Answer:

5i

Step-by-step explanation:

sqrt( -25)

Rewriting

sqrt( 25 * -1)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(25) sqrt(-1)

We know that sqrt(-1) = i

±5 i

Which of the following contains a variable?
A. He scored a 95 on the test.
B. The bug crawled 15 inches per second.
C. The area is 56 square centimeters.
D. Ana is 3 years older than Mark.

Answers

Answer:

D. Ana is 3 years older than Mark.

Step-by-step explanation:

We do not know how old Mark is.  That is the variable

Holly invited her friends to her pool party. She decided to add trail mix to the snack menu. In the trail mix, the ratio of cups of peanuts to cups of raisins is 6:4. How many cups of raisins would be needed for a mix that included 9 cups of peanuts

Answers

Answer:my dog is cute

Step-by-step explanation:because

Rational between √16 and √17

Answers

Answer:

41/10

Explanation:

sqrt16 = 4

sqrt17 = 4.12

4.1 = 41/10 and 4<4.1<4.12

Use proportional reasoning to solve for the missing value in each of the following scenarios. Enter a numerical answer only.

1.) If a business jet burns 300 gallons of gasoline per hour, it burns____gallons of gasoline in a three hour flight.

2.) On average, one gallon of gasoline weights approximately six pounds. Fifty gallons of gasoline weighs____pounds.

3.) For every one yard, there are thirty-six inches. 2,124 inches =_______ yards

4.) A person who weighs 240 pounds burns 180 calories per mile of running.A person who weighs_____ pounds, burns thirty-six calories while running one mile.

5.) A rice casserole recipe serves four people and requires two tablespoons of butter. A rice casserole that requires six (6) tablespoons of butter serves____ people.

Answers

Answer:

1.) 900

2.) 300

3.) 59

4.) 48

5.) 12

Step-by-step explanation:

1.) 300 x 3 = 900

2.) 50 x 6 = 300

3.) 2,124 / 36 = 59

4.) 180 / 36 = 5 | 240 / 5 = 48

5.) 6 / 2 = 3 | 4 x 3 = 12

Hope this helps.

If there is something wrong, please let me know.

Proportional reasoning refers to the ability to compare and analyze relationships between two or more quantities that change in a consistent way. It involves understanding the concept of proportionality and applying it to solve problems.

1.) If a business jet burns 300 gallons of gasoline per hour, it burns 900 gallons of gasoline in a three-hour flight. This can be calculated by multiplying the burn rate of 300 gallons per hour by the duration of the flight, which is three hours.

2.) On average, one gallon of gasoline weighs approximately six pounds. Therefore, fifty gallons of gasoline weighs 300 pounds. This can be calculated by multiplying the weight of one gallon (six pounds) by the quantity of fifty gallons.

3.) For every one yard, there are thirty-six inches. To find the number of yards in 2,124 inches, we divide 2,124 by 36. The result is 59 yards. This can be calculated by dividing the total number of inches by the conversion factor of thirty-six inches per yard.

4.) A person who weighs 240 pounds burns 180 calories per mile of running. A person who weighs 48 pounds, burns thirty-six calories while running one mile. To find the number of pounds for which the person burns thirty-six calories while running one mile, we can set up a proportion. If we let x represent the weight in pounds, the proportion would be: 240 pounds / 180 calories = x pounds / 36 calories. Solving for x gives us x = 48 pounds.

5.) A rice casserole recipe serves four people and requires two tablespoons of butter. If a rice casserole requires six tablespoons of butter, it serves twelve people. This can be determined by setting up a proportion: 4 people / 2 tablespoons = 12 people / 6 tablespoons. Solving for the unknown number of people gives us 12 people.

Learn more about Reasoning here:

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A macaroni and cheese recipe calls for 's of a 2 % pound block of cheese. How many pounds
are needed?

Mr. Williams ask to buy 1/2 of a pan of brownies that is 2/3 full. What fraction of the original pan does he buy?

Answers

4/6

Mr. williams wants to buy 4/6

Answer:

there is some missing information  here

if the pas is a dozen brownies

1/2 of a pan is 6 2/3 of 6 would be "4"

how much mac-n-cheese are being made?

that information would be needed to solve this

Step-by-step explanation:

There is a sales tax of $9 on an item that costs $120 before tax. The sales tax on a second item is $19.05. How much does the second item cost before tax?

Anything helps! :)

Answers

Answer:

254

Step-by-step explanation:

Divide 9 by 120, to get 0.075

Divide 19.05 by 0.075


[tex] {x }^{2} = {16}^{x} [/tex]
find the value of x.
show working please.​

Answers

You can solve this problem by inspection or by plotting.

x^2 = 16^x

x^2 = 2^(4x)

x = 2^(2x)

Take log of both sides:

logx = 2xlog2

(logx)/x = 2log2

x^(1/x) = 2^2

x^(1/x) = 4

Plot problem:

x = -.5

Test (-.5)^(1/-.5) = 4, 4 =4

(-.5)^2 = 16^(-.5)

1/4 = 1/4

Answer is: -.5

Can y’all help me out? t^82=?

Answers

Answer:

-1

Step-by-step explanation:

Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?

Answers

Answer:

61.716 seconds (62 if round up is needed)

Step-by-step explanation:

36 / 7 = 5.143

5.143 * 12 = 61.716

Find the area of this circle

I don’t understand this

Answers

Answer:

75 in²

Step-by-step explanation:

A = πr² where radius is r = 5 in,

so,

πr²

=3×5²

=3×25 = 75 in²

Answered by GAUTHMATH

Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?

Answers

Answer:

A: Rewrite the expression on the left using the distributive property.

Can someone help me with this math homework please!

Answers

Answer:

[tex][-2.5,-2][/tex]

[tex][-2,-1.5][/tex]

[tex][1.5,2][/tex]

[tex][2,2.5][/tex]

------------------------

Hope it helps...

Answer:

B, D, E

Step-by-step explanation:

The values in the answer choices are x-values, meaning on the x-axis.

B: [-2, -1.5]

From -2 to -1.5, the graph goes down from left to right, so it's decreasing.

D: [1.5, 2]

From 1.5 to 2, the graph goes down from left to right, so it's decreasing.

E: [2, 2.5]

From 2 to 2.5, the graph does down from left to right, so it's decreasing.

Hope that helps (●'◡'●)

please help,
all i have is 16 x 33 = 528cm2 ?!!!

Answers

Answer:

732 m^2

Step-by-step explanation:

Find the area of the full rectangle

33*24 =792

Find the area of the triangle

24-16 = 8

33 -18 =15

The area of the triangle is

A = 1/2 bh = 1/2 ( 15)(8) = 60

Subtract the triangle from the rectangle

792 - 70=732 m^2

Answer:

732 [tex]m^2[/tex]

Step-by-step explanation:

First we can find the area of the shape if the triangle wasn't there. That would be:

24×33=792.

Then, we can find the area of the triangle to subtract that from the total.

The formula for the area of a triangle is [tex]A=\frac{1}{2} bh[/tex].

So [tex]A=\frac{1}{2} (8)(15)[/tex]

I found the base of the triangle by subtracting 16 from 24.

I found the height of the triangle by subtracting 18 from 33.

Now, solve the equation.

[tex]A=\frac{1}{2}( 120)[/tex]

A=60

Then finally, Subtract 60 from 792.

You get 732.

I hope this helps!

James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag. How many more pounds does one of the heaviest bags weigh than one of the lightest bags? Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Answer:

The answer is "[tex]1\frac{1}{2}[/tex]"

Step-by-step explanation:

Please find the graph file of the question in the attachment.

Its first step is the lightest and heaviest evil. [tex]4 \frac{1}{4}[/tex] is the lightest bag, and [tex]5 \frac34[/tex] is the heaviest bag. To remove it now, it is not permissible to remove it as a mixed fraction, therefore convert each fraction into an improper fraction by multiplying the whole integer to the numerator, then adding a numerator to this amount, multiplied by the numerator. Follow those steps to find out [tex]4 \frac{1}{4}[/tex]  is the wrong part.

[tex](4\times 4+1=17) \ so\ 4\frac14=\frac{17}{4}.[/tex] The process is the same for [tex]5 \frac34 (5\times 4+3=23) \ so \ 5 \frac34= \frac{23}{4}.[/tex]

You now deduce the numerator but just not the negative, to deduct both. You subtract, as the question is raised far as[tex]\frac{23}{4}-\frac{17}{4} =\frac{6}{4}[/tex] is involved. The last stage is that this is transformed into blended families, dividing its count by the denominator, 6 divided by 4 is identical to 1.5. 1 is a full amount so you don't modify it, but you do need to change the 5 decimals to [tex]1.5=1 \frac{5}{10}[/tex] and the last step is [tex]1\frac{1}{2}[/tex]to reduce.

What is the slope of the line that passes through the points (4, 4) and (10, 7) ? Write your answer in simplest form.

Answers

Answer: 1/2x + 2

Step-by-step explanation:

To get the slope you can look at the image. I got the y intercept by graphing the line and manually finding it. I forget how to solve for it

SP= 328, Profit = Rs 29​

Answers

[tex]sp = 328 \\ p = 29 \\ cp = .... \\ \\ p = sp - cp \\ 29 = 328 - cp \\ cp = 328 + 29 \\ cp = 357[/tex]

-0.6the decimal in equivalent fraction form

Answers

[tex]\sf \: If \: the \: question \: is \: to \: convert \: - 0.6 \\ \sf \: to \: its\: equivalent \: fractional \: form \: then ⟹[/tex]

[tex]\sf \: - 0.6 \\ \sf= \frac{ - 6}{10} (direct \: fractional \: form) \\ \sf = \frac{ - 3}{5} (in \: simplified \: form)[/tex]

Can someone help me with this math homework please!

Answers

Step-by-step explanation:

the answer is

the Value of b to 2

At the hot dog stand, 1/3 of all hot dogs served had a sesame buns, 2/5 of all hot dogs had ketchup, and 1/10 of all hot dogs were plain. What does the product of 1/3(2/5) stand for?

Answers

Answer:

The product of 1/3(2/5) represents the number of hot dogs that were served on sesame buns WITH ketchup

Step-by-step explanation:

According to the synthetic division below, which of the following statements are true? Check all that apply

Answers

The true statements are A , B , E

What is division?

It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Here, In the synthetic calculation we use the coefficient of the dividend

with the factors of the function

2 , -2 , -12 are the coefficient of the dividend 2x² - 2x - 12

∵ The divisor is 3

∴ x = 3 is a root of F(x) = 2x² - 2x - 12

∵ x = 3 is the root of F(x) = 2x² - 2x - 12

- Subtract the two sides by 3

∴ x - 3 = 0

∴ (x - 3) is a factor of the dividend F(x) = 2x² - 2x - 12

- The quotient is the last line of the synthetic division

∴ The coefficients of quotient are 2 , 4

- The quotient is 1 degree less than the dividend

∵ The degree of the dividend is 2

∴ The degree of the quotient is 1

∴ The quotient is 2x + 4

* Lets check the answers to chose the write statements

A. The number 3 is a root of F(x) = 2x² - 2x - 12 ⇒ true

B. (x - 3) is a factor of 2x² - 2x - 12 ⇒ true

E. (2x² - 2x - 12) ÷ (x - 3) = 2x + 4 ⇒ true

Thus, the true statements are A , B , E.

Learn more about Division from:

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Which angles are adjacent to each other?

• Angle KGD and Angle AEB
• Angle BEC and Angle AEB
• Angle AEB and Angle ECU
• Angle JCI and Angle KGD​

Answers

Answer:

Step-by-step explanation:

adjacent angles have a common vertex and a common ray

∠BEC and ∠AEB (common vertex E common ray EB)

triangles help pls!!

Answers

Answer:

x = 60

Step-by-step explanation:

The single dashed line represents congruent side lengths.

If every side of a triangle has a single dashed line then all of the sides are congruent meaning that the triangle is an equilateral

Equilateral triangles have all congruent side lengths and angles

In an equilateral triangle each angle has a measure of 60 degrees

So x = 60

Answer:

Step-by-step explanation:

A parallelogram is divided into two triangles, both triangles having equal sides.

So triangles are equilateral..In equilateral triangles, the angles are also equal..the interior angles of a triangle are 180 degrees..

180 ÷ 3 = 60 degree---> x:60°

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