Simplify the algebraic expression 4(x + 1) + 7(x + 3)

Answer:

Look at explanation

Step-by-step explanation:

Well according to the picture (it doesn't have the full problem so this is what I can explain):

To make 1 dozen cupcakes (x), you need 1 cup of butter (y). (Or you can see in the question on the picture: y = 0.5x)

So let's say, he wants to make half a dozen cupcakes, he would need 0.5 cups of butter. How many cups of butter he uses is how many dozens he can make.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

0.03906square foot

Step-by-step explanation:

Given the dimension of the bedroom yo be 2.25in by 2.5in

First we need to convert to foot

2.25in = 0.08333×2.25 = 0.1875feet

2.5in = 0.08333×2.5 = 0.2083feet

Area of the rectangular bedroom = length × width

Area of the rectangular bedroom = 0.1875×0.2083

Area of the rectangular bedroom = 0.03906square foot

Step-by-step explanation:

I will skip question c as there is no subject to solve.

d)

[tex] - 4 + 3(2 - x) = - 8 \\ - 4 + 6 - 3x = - 8 \\ 2 - 3x = - 8 \\ - 3x = - 8 - 2 \\ - 3x = - 10 \\ x = 10 \div 3 \\ = \frac{10}{3} \: or3 \frac{1}{3} [/tex]

e)

[tex]8 - (5 - 9x) = 7(1 - x) \\ 8 - 5 + 9x = 7 - 7x \\ 3 + 9x = 7 - 7x \\ 3 + 9x + 7x = 7 \\ 16x = 7 - 3 \\ 16x = 4 \\ x = 4 \div 16 \\ = \frac{1}{4} [/tex]

[tex] - 5 - 3(x + 1) = - ( - 4x + 1) \\ - 5 - 3x - 3 = 4x - 1 \\ - 8 - 3x = 4x - 1 \\ - 8 - 3x - 4x = - 1 \\ - 7x = - 1 + 8 \\ - 7x = 7 \\ x = 7 \div - 7 \\ = - 1[/tex]

g)

[tex]4 - \frac{6}{9} = \frac{1}{3} + x \\ 4 - \frac{2}{3} = \frac{1}{3} + x \\ x + \frac{1}{3} = 4 - \frac{2}{3} \\ x = 4 - \frac{2}{3} - \frac{1}{3} \\ = 4 - 1 \\ = 3[/tex]

Answer:

[tex]First\ interval: \frac{1}{2} \to 2 \ inches[/tex]

[tex]Second \ interval: 3\frac{1}{2} \to 4\frac{1}{2} \ inches[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the blanks

To do this, we simply consider the intervals of the hair lengths where they are lots of data; i.e. where frequency is greater than 1

For the first cluster, we can select the following interval

[tex]\frac{1}{2} \to 2[/tex]

Because;

hair length [tex]\frac{1}{2}[/tex] has a frequency of 3

and the data continues till hair length 2 which has a frequency of 2

For the second cluster, we can select the following interval

[tex]3\frac{1}{2} \to 4\frac{1}{2}[/tex]

Because;

hair length [tex]3\frac{1}{2}[/tex] has a frequency of 3

and the data continues till hair length [tex]4\frac{1}{2}[/tex] which has a frequency of 2

Note that, hair lengths with 0 or 1 as their frequency were not selected as part of the cluster

Answer:

34÷2= 17m^3 (it says cubed for ^3)

The prism has a volume of 17 cubic units.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a right triangular prism is given by the formula:

V = (1/2) * b * h * l

where b is the base of the triangle, h is the height of the triangle, and l is the length of the prism.

In this case, the legs of the triangle are 1 and 2, so the base of the triangle is 1 and the height of the triangle is 2.

Therefore, we have:

V = (1/2) * 1 * 2 * 17

V = 17

So the volume of the prism is 17 cubic units.

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Answer:

100pi

Step-by-step explanation:

pi5^5=25pi

2*2=4

25pi*4=100pi

Answer:

100

Step-by-step explanation:

you said 8 is 16% of 50 and 8 is half of 16 so that means 50 is half of 100

Answer:

the answer is 32% or 100

Answer:

azsxdfghjmk,l,kjhgfd

Step-by-step explanation:

Answer:

339n in^3

Step-by-step explanation:

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Water in the cylinder = volume of cylinder - volume of sphere

volume of a cylinder = nr^2h

n = 22/7

r = radius = 10/2 = 5

n x (5^2) x 15 = 375 in^3

volume of a sphere = (4/3) x (n) x (r^3)

n = 22/7

r = 6/2 = 3

(4/3) x (n) x (r^3) =  36n

Answer:

b=23

Step-by-step explanation:

(b+43)+(3b+45)=180

2 adjacent angles will always equal 180

Then just simplify

Answer:

the answer is C

Step-by-step explanation:

Answer:

[tex]x = \frac{60}{2} = 30[/tex]

Answer: 2. 2

3. 110,121,132

4.22,110

5.4.5

Step-by-step explanation:

2. 20-12=8, 8divided by 4=2

3. 363 divided by 3=121(this is the avg of the consecutive multiples so one multiple must be 11 above and another 11 below

4.66 divided by 3=22, 22x 2 and 22 x 5

5.2 x2=4, 13-4=9, 9 divided by 2 is 4.5

Answer: 222.78

Step-by-step explanation:

Answer:

mean=21, median= 14

Step-by-step explanation:

I hope this helps.

Answer:

Median = 14

Mean = 20

Step By Step Explanation:

Answer:

Nope, as long as the y value is correct it won´t matter in the slightest.

Step-by-step explanation:

Hope this helps! Have an Amazing day!!

Step-by-step explanation:

No we can use x in the equation.

Answer:

asnwer is 2

Step-by-step explanation:

2.

Answer:

1: 55     2: 40

Step-by-step explanation:

For the first problem, by the triangle angle theorm, the three angles in a triangle add up to 180, so

90+35+x=180

125 + x = 180

x = 55

Now, the angle you just found (x = 55) and the exterior angle are supplementary so they also add up to 180

55 + y = 180

y = 125

For the second problem, the two angles in a triangle non-adjacent to the exterior angle are equal to the exterior angle, so

40 + 2x = 3x

x = 40

Answer:

3.5

Step-by-step explanation:

the point is (1, 3.5)

since k= y/x

3.5/1 =3.5 or 7/2

Answer:

4th option

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

DUHHH true

Step-by-step explanation:

Good luck

Given:

The graph of a parabola.

To find:

The domain, range and check whether it is a function or not.

Solution:

Domain: The set of x-values or input values is known as domain.

Range: The set of y-values or output values is known as range.

A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.

Vertical line test: Each vertical line intersect the graph at most once.

The given function is defined for all real values of x which are greater than or equal to -3. So, the domain of the given graph is:

[tex]Domain=[-3,\infty)[/tex]

The given function values can be any real number. So, the range of the given graph is:

[tex]Range=(-\infty,\infty)[/tex]

For x=0, we have two values of the function because the graph intercept the y-axis at two points.

Since the graph does not pass the vertical line test therefore the given graph is not a function.

Answer:

35

Step-by-step explanation: I used a protractor

Answer:

35 degrees.

Step-by-step explanation:

To figure this question out, we first need to understand how to solve it. We know that all the angles in a triangle add up to 180 degrees. we can imagine this is a massive triangle. We can do the following

73 + 51 + (21+x) = 180

we can do this, because we already know the other two angles, and we know part of the last angle is 21, and the other part of the last angle is x. We can add them all together.

124 + 21 + x =180

145 + x =180

35 = x

Answer:

Step-by-step explanation:

d

Answer:

62.8 inches

Step-by-step explanation:

✓We can determine the

Circumference of the wheel of the bicycle using the expression below;

Circumference= (πd) ...........eqn(1)

Where d= diameter = 20inches

If we substitute the value of " diameter" into eqn(1)

Circumference = (π × 20)

= 62.8inches

(Where π= 3.142)

Therefore, measurement that is closest to the circumference of the wheel is 62.8inches

Answer:

The reasonable domain for the scenario is option 'a';

a) [0, 7]  

Step-by-step explanation:

For the projectile motion of the object, we are given;

The speed at which the object is launched, v = 29.4 meters per second

The height of the platform from which the object is launched, h = 34.3 meter

The equation for the height of the object as a function of time 'x' is given as follows;

f(x) = -4.9·x² + 29.4·x + 34.3

The domain for the scenario, is given by the possible values of 'x' for the function, which is found as follows;

At the height from which the object is launched, x = 0, and f(x) = 34.3

At the ground level to which the object can drop, f(x) = 0

∴ f(x) = -4.9·x² + 29.4·x + 34.3 = 0

-4.9·x² + 29.4·x + 34.3 = 0

By the quadratic formula, we have;

x = (-29.4 ± √(29.4² - 4 × (-4.9) × 34.3))/(2 × (-4.9)

∴ x = -1, or 7

Given that time is a natural number, we have the reasonable domain for the scenario as the start time when the object is launched, t = 0 to the time the object reaches the ground, t = 7

Therefore, the reasonable domain for the scenario is; 0 ≤ x ≤ 7 or [0, 7].

Answer:

True

Step-by-step explanation:

She actually earned 21 credits, which means she earned at least 4.

Lauri earned 4 credits for the year is false.

A division is a process of splitting a specific amount into equal parts.

To earn one Social Security credit, a person needs to earn a certain amount of money each year.

The amount needed for one credit changes each year and is determined by the Social Security Administration.

Given that last year Lauri earned $23,000 and earned 4 credits, we can calculate how much money she earned per credit by dividing her total earnings by the number of credits earned:

$23,000 / 4 credits = $5,750 per credit

Now we can check if $5,750 is equal to $1,090, the amount needed for one credit according to the problem.

$5,750 is not equal to $1,090, so the statement is false.

Hence,  Lauri earned 4 credits for the year is false.

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Answer:

100% increase

Step-by-step explanation:

Answer:

Sarah donated 70 more dollars.

Step-by-step explanation:

The Phase “How much more” let’s us know that we are subtracting the amounts. 920- 850 is 70.