simplify the expression :
11(3p+5x)+4x-x


1)33p+58x
2)14p+58x
3)33p+19x
4)14p+19x

Answer:

85km/h which is 52.82mph

Step-by-step explanation:

Answer: .1

Step-by-step explanation: divide all the numbers by three. 27 ÷ 3 = 9

9÷3= 3

3÷3= 1

1÷3= .3

.3 ÷3 = .1

Answer:

12 soccer practices

Step-by-step explanation:

1 Soccer practice = 2 / 3 hour

We have 8 hours

8 / 2/3

multiply the top and bottom by 3 to get rid of the 3

8 * 3 = 24

2/3 * 3 = 2

24 / 2 = 12

Answer:

One way to answer your problem is by using proportions, and the following method can be done:

Step-by-step explanation:

[tex]\frac{1}{\frac{2}{3}}=\frac{x}{8}[/tex]

Then that reduces to the following:

[tex]\frac{8}{\frac{2}{3}}=x=12[/tex]

So the answer would be 12 practices.

Answer:

[tex] 320 = 10 (2)^{t/60}[/tex]

If we divide both sides by 10 we got:

[tex] 32 = 2^{t/60}[/tex]

We can apply natural log on both sides and we got:

[tex] ln (32) = \frac{t}{60} ln(2) [/tex]

And solving the value of t we got:

[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]

So then we can conclude that after t = 300 days we will have approximately 320 rabbits  

Step-by-step explanation:

For this case we have the following function:

[tex] P(t) = 10 (2)^{t/60}[/tex]

Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:

[tex] 320 = 10 (2)^{t/60}[/tex]

If we divide both sides by 10 we got:

[tex] 32 = 2^{t/60}[/tex]

We can apply natural log on both sides and we got:

[tex] ln (32) = \frac{t}{60} ln(2) [/tex]

And solving the value of t we got:

[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]

So then we can conclude that after t = 300 days we will have approximately 320 rabbits  

Answer:

$0.60

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A. 6/2=3

B. 8/4=2

C. 24/6= 4

D. 50/10=5

Answer:

C or option three, f(x) = 1.5x + 0.5

Step-by-step explanation:

HAVE A GREAT DAY AND STAY SAFE!

The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

The general equation of a straight line is y = mx + c

A slope of a line is the change in y coordinate with respect to the change in x coordinate

Here,

Consider two points in the lines

(3,5) and (5,8)

Slope of the line = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

= [tex]\frac{8-5}{5-3}[/tex]

=1.5

From the graph y intercept is 0.5

Hence, The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.

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Answer:

-4

Step-by-step explanation:

Since this has an equals sign and in both sides it can be divisible. So you take 5 and divide it on both sides to get -4

Answer:

Step-by-step explanation:

The equation of a linear function is in form:

[tex]y=mx+b[/tex]

We have:

[tex]\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}[/tex]

[tex]\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}[/tex]

[tex]\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}[/tex]

[tex]\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}[/tex]

Answer:

fwefwfwfewfwefwefwfew

Step-by-step fweexplanation:

erwrwerw

Answer:

∠GHJ and ∠IHJ

Answer:

[-10, 10]

This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10   and [10] = 10

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The formula for this type of interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

[tex]A=1800(1+\frac{0.025}{2})^{2\cdot 12}=[/tex]

[tex]1800(1.0125)^{24}\approx 2425.23[/tex]

Now, she invests this into a new account, and you can set up the following equation:

[tex]A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=[/tex]

[tex]2425.23(1.0033333)^{84}\approx 3207.40[/tex], or option A.

Hope this helps!

Answer:

The answer is 3cm

Step-by-step explanation:

The length of a diagonal of a cube with a side length of 1 cm is,

⇒ √3 cm

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

A side length of cube is,

⇒ 1 cm

We know that;

The length of a diagonal of a cube with a side length of a cm is,

⇒ d = √3 × a

Here, a = 1

Hence, The length of a diagonal of a cube with a side length of 1 cm is,

⇒ d = √3 × 1

⇒ d = √3 cm

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Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

Applying this theorem in the diagram, we have:

[tex]TQ$ X TP=TR^2[/tex]

[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall earlier we got: x=11.6

2y=4 X 11.6

2y=46.4

Divide both sides by 2

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

Answer:

y=5/3x

Step-by-step explanation:

The equation can be used to represent y = (5/3)x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.

Since the water continues to flow at the same rate.

Using represent the number of gallons, y, that flow through the faucet in x

In 3 minutes, 5 gallons of water come out of a faucet.

So the equation can be used to represent y = (5/3)x

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Answer:

0.8

Step-by-step explanation:

Answer:

9th grade student=33.3%, unit 7=45%

Step-by-step explanation:

Answer:

The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons

Step-by-step explanation:

Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:

x + y = 45

The concentration of acid of the final solution is:

0.2*x + 0.1*y = 45*0.16

0.2*x + 0.1*y = 7.2

Therefore we have a system of equation:

x + y = 45

0.2*x + 0.1*y = 7.2

We need to multiply the first equation by -0.1:

-0.1*x -0.1*y = -4.5

0.2*x + 0.1*y = 7.2

We now sum both equation:

0.1*x = 2.7

x = 2.7/0.1 = 27 gallons

y = 45 - 27  = 18 gallons

Answer:

4 seconds

Step-by-step explanation:

using the vertex formula of a quadratic,

[tex]a(x-h)^{2} + k[/tex], where (h,k) is the vertex

[tex]h = -8(t-0.5)^{2}+2[/tex]    h is height and t is time in seconds

the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)  

Height of 1/2

time of 2 seconds

it will take 2 additional seconds to reach the water again.

this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.

Answer:

x=6

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

44 = 1/2 (2x-4)(x+5)

Multiply the 1/2 time (2x-4)

44 = (x-2) (x+5)

FOIL

44 = x^2 +5x -2x-10

Combine like terms

44 = x^2 +3x -10

Subtract 44 from each side

0 = x^2 +3x -10-44

0 = x^2 +3x -54

Factor

What two numbers multiply to -54 and add to 3

9*-6 = -54

9+-6 = -3

0 = (x+9)(x-6)

Using the zero product property

x +9 =0    x-6 =0

x = -9          x = 6

The height cannot be negative so x cannot be -9

x=6

Answer:

y = 1.3

Step-by-step explanation:

18y - 17 = 7

18y = 7 + 17

18y = 24

y = 24/18

y = 1.3

hope it helps!

Answer:

y=4/3

Step-by-step explanation:

To solve for y, we need to isolate it.

18y-17=7

Let's start by adding 17 to both sides.

18y=24

Next, we can divide both sides by 18.

y=24/18

Simplify.

y=4/3

Answer:

Step-by-step explanation:

hello :

f(x)=-2x and g(x)=(1/2)^x

f(-2)=-2(-2) =4

g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4

Answer:

the answer would be 20

Answer:

x=3/2 or 1.5

Step-by-step explanation:

To solve for x, we have to get x by itself. To do this, perform the opposite of what is being done to the equation.

3(4x+5)=33

First, divide both sides by 3, since 3 is being multiplied by 4x+5

3(4x+5)/3=33/3

4x+5=11

Next, subtract 5 from both sides, since it is being added to 4x

4x+5-5=11-5

4x=6

Divide both sides by 4, since 4 is being multiplied by x

4x/4=6/4

x=6/4

x=3/2 or 1.5

Answer:

Step-by-step explanation:

.

Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.

Answer: The point estimate for this population proportion is 0.2

Step-by-step explanation:

The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 40

p = 40/200 = 0.2

Answer:

B and C

Step-by-step explanation:

25% of 64 is 16. So find the two answers that are equivalent to 16.

A: 25*64 = 1600 [tex]\neq[/tex] 16

B: [tex]\frac{25}{100}[/tex]*64 = 16

C: 0.25 * 64 = 16

D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16

E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16

Answer:

its b and c. had the same problem.

Answer:

f(1) = 93

f(n) = f(n - 1) + 4

Step-by-step explanation:

The recursive formula for an arithmetic sequence is given as:

f(1) = a

f(n) = f(n - 1) + d

where a = first term and d = common difference

An arithmetic sequence is in the form:

f(n) = a + d(n - 1)

where a = first term and d = common difference

The common difference in f(n) = 93 + 4(n-1) is 4.

The first term is 93.

The recursive formula is therefore:

f(1) = 93

f(n) = f(n - 1) + 4

Answer:

f(1)=93

f(n)=f(n-1)+4

Step-by-step explanation:

As you can see in the picture, the initial value is 93, which is why it's the first part of the equation. The 4 is multiplying the (n-1) part in the equation and as we complete the recursive formula of N, you have to put the numbers in the correct order.

Corrected Question

Ethan has partially filled the prism with 8 unit cubes.

A rectangular prism with length, height, and width of 3.

How many more cubes does he need to fill the prism completely?

Answer:

(C)19

Step-by-step explanation:

First, we determine the volume of the rectangular prism

Volume of a rectangular prism = Length X Height X Width

=3 X 3 X 3=27 cubic units

Volume of the Cube=1 cubic unit

The number of unit cubes that will fill the rectangular prism = 27

Ethan has partially filled the prism with 8 unit cubes, we subtract 8 from 27 to determine the number left to fill the prism

27-8=19.

Therefore, Ethan will need 19 more cubes to fill the rectangular prism.

The correct option is C