Mathematics College

Expand and simplify
3(x + 5) + 2(x + 4)

Answers

Answer 1

3(x+5) + 2(x+4)
3x+15+2x+8
The answer is 5x+23

Answer 2

Answer:

5x + 23

Step-by-step explanation:

3 ( x+5) + 2 ( x+4 )

3x+15+2x+8

3x+2x+8+15

5x+23

Related Questions

a linear function contains the following points (0,-1) (3,8)

Answers

The answer is d.
to find the slope you can do y2-y1/x2-x1
8-(-1)/3-0= 9/3 or 3
you can then put one of the points into the slope intercept form y=mx+b or 8=3(3)+b
you get 8=9+b. you subtract 9 from both sides to get -1=b. y intercept means that the point is (0,-1)

For the right triangle shown, which of these equations is correct?
1. all answers are correct
2. cos(53) = x/16
3. cos(53) = sin(37)
4. sin(37) = 16/x

Answers

Answer:

Step-by-step explanation:

3 because 37° and 53° these sum is 90°.

Answer:

3. cos(53)=sin(37)

Step-by-step explanation:

let y be the third side

cos(53)= adj/hyp

=y/16

sin(37)=opp/hyp

=y/16

therefore, sin(37)=cos(53)=y/16

24.39 is 9% of what number..........................

Answers

Answer:

271

9 percent (calculated percentage %) of what number equals 24.39? Answer: 271.

Step-by-step explanation:

Answer:

2.19 I think. Hopefully this helps. You first turn 9% into a decimal, which is 0.09. Then multiply by 24.39, which is 2.19. You can also use the friendly percentage, 10%.

I don't know if this is correct because I'm not too sure, but I hope this helps.

The perimeter of parallelogram ABCD is 46 inches. What
is DA?

Answers

Answer:

B. 4 inches

Step-by-step explanation:

I got 100% on the quiz on Edg 2020

Answer:

4 inch

Step-by-step explanation:

I need to Determine which two whole numbers each problem lies between. The number is 10/3

Answers

Answer:

I am not sure.

Step-by-step explanation:

need answer thanks!!!!!!!

Answers

Step-by-step explanation:

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14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.

Answers

Answer:

Length [tex]=25[/tex] inches

Width [tex]= 15[/tex] inches

Step-by-step explanation:

Let [tex]l[/tex] = length of rectangle, [tex]w[/tex] = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

[tex]lw = 375[/tex]

[tex]2l+2w=80[/tex]

So:

[tex]l+w = 80\div2[/tex]

[tex]=40[/tex]

[tex]l=40-w[/tex]

Now, we can use substitution to find the value of [tex]w[/tex]:

[tex]lw = 375[/tex]

[tex](40-w)w = 375[/tex]

[tex]40w-w^2 = 375[/tex]

[tex]375+w^2-40w = 0[/tex] (Quadratic equation)

[tex](w-15)(w-25) = 0[/tex]

∴ [tex]w = 15, 25[/tex]

We can use substitution again to find the value of [tex]l[/tex]

[tex]lw = 375[/tex]

[tex]l=375\div w[/tex]

[tex]=25,15[/tex]

∵ Length usually refers to the longer side of a rectangle, ∴ length [tex]=25[/tex] inches and width [tex]=15[/tex] inches.

Hope this helps :)

Simplify (X^5/8)^2/3

Answers

Answer: Its x5/12

Step-by-step explanation: Hope this helps!!1 <3

The temperature in a chemical reactor was measured every half hour under the same conditions. The results were 78.1°C, 79.2°C, 78,9°C, 80.2°C, 78.3°C, 78.8°C. 79.4°C.
the mean ?

Answers

Answer:

72.2

Step-by-step explanation:

The mean of the data is 78.98.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

For example,

To calculate the mean,

= (3 + 11 + 4 + 6 + 8 + 9 + 6 = 47). Then you divide the total sum by the number of scores =(47 / 7 = 6.7).

Given:

Data: 78.1°C, 79.2°C, 78,9°C, 80.2°C, 78.3°C, 78.8°C. 79.4°C.

Now, the mean of the data

= Sum of data/ Total number of data

= 78.1+ 79.2+ 78.9+ 80.2+ 78.3+ 78.8+ 79.4 / 7

= 552.9/7

= 78.98

Hence, the mean of the data is 78.98.

Learn more about Mean here:

https://brainly.com/question/15323584

#SPJ2

plz help!! will give brainliest!!

Answers

I think it might be c correct me if I am right.

Triviaaaa for you smart people, is Sixteen times some number equals 60, an equation or expression?

Answers

Answer:

an equation

Step-by-step explanation:

this is because there is an unknown value (some number)

I need this answered soon please!

Answers

Answer:

its B

Step-by-step explanation:

simplify the radical by breaking the radicand up into the product of known factors.assuming real numbers

in the equation 80 multiplied by 10 = 8, the number 80 is the

Answers

Answer:

product of 10 and 8

Step-by-step explanation:

8 is the quotient of 80 and 10 (80/10=8)

URGENT PLEASE I NEED HELP AND KINDLY SHOW THE SOLUTION/S AS WELL :))

Answers

Answer:

1. Steve's age is 18 and Anne's age is 8.

2. Max's age is 17 and Bert's age is 11.

3. Sury's age is 19 and Billy's age is 9.

4. The man's age is 30 and his son's age is 10.

Step-by-step explanation:

1. Let us assume that:

S = Steve's age now

A = Anne's age now

Therefore, in four years, we have:

S + 4 = (A + 4)2 - 2

S + 4 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we have:

S - 3 = (A - 3)3

S - 3 = 3A - 9 ................................ (2)

From equation (2), we have:

S = 3A - 9 + 3

S = 3A – 6 …………. (3)

Substitute S from equation (3) into equation (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into equation (3), we have:

S = (3 * 8) – 6

S = 24 – 6

S = 18

Therefore, Steve's age is 18 while Anne's age is 8.

2. Let us assume that:

M = Max's age now

B = Bert's age now

Therefore, five years ago, we have:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (4)

A year from now, we have:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30 .......................... (5)

From equation (5), we have:

M = 30 – 2 – B

M = 28 – B …………………… (6)

Substitute M from equation (6) into equation (4) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

Substituting B = 11 into equation (6), we have:

M = 28 – 11

M = 17

Therefore, Max's age is 17 while Bert's age is 11.

3. Let us assume that:

S = Sury's age now

B = Billy's age now

Therefore, now, we have:

S = B + 10 ................................ (7)

Next year, we have:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (8)

Substituting S from equation (7) into equation (8) and solve for B, we have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (7), we have:

S = 9 + 10

S = 19

Therefore, Sury's age is 19 while Billy's age is 9.

4. Let us assume that:

M = The man's age now

S = His son's age now

Therefore, now, we have:

M = 3S ................................... (9)

Five years ago, we have:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (10)

Substituting M from equation (9) into equation (10) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (9), we have:

M = 3 * 10

M = 30

Therefore, the man's age is 30 and his son's age is 10.

What’s 1/4 +2/3 or 3/4+2/3

Answers

Answer:

1/4+2/3=11/12

3/4+2/3=17/12

Step-by-step explanation:

[tex]\frac{d}{dx} \int t^2+1 \ dt[/tex]
There is a 2x on the bottom and x^2 on top of the integral symbol
Please help me my teacher did not teach us this:(

Answers

Answer:

[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} \ = \ 2x^5-8x^2+2x-2[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} = \ ?[/tex]

We can use Part I of the Fundamental Theorem of Calculus:

[tex]\displaystyle\frac{d}{dx} \int\limits^x_a \text{f(t) dt = f(x)}[/tex]

Since we have two functions as the limits of integration, we can use one of the properties of integrals; the additivity rule.

The Additivity Rule for Integrals states that:

[tex]\displaystyle\int\limits^b_a \text{f(t) dt} + \int\limits^c_b \text{f(t) dt} = \int\limits^c_a \text{f(t) dt}[/tex]

We can use this backward and break the integral into two parts. We can use any number for "b", but I will use 0 since it tends to make calculations simpler.

[tex]\displaystyle \frac{d}{dx} \int\limits^0_{2x} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]

We want the variable to be the top limit of integration, so we can use the Order of Integration Rule to rewrite this.

The Order of Integration Rule states that:

[tex]\displaystyle\int\limits^b_a \text{f(t) dt}\ = -\int\limits^a_b \text{f(t) dt}[/tex]

We can use this rule to our advantage by flipping the limits of integration on the first integral and adding a negative sign.

[tex]\displaystyle \frac{d}{dx} -\int\limits^{2x}_{0} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]

Now we can take the derivative of the integrals by using the Fundamental Theorem of Calculus.

When taking the derivative of an integral, we can follow this notation:

[tex]\displaystyle \frac{d}{dx} \int\limits^u_a \text{f(t) dt} = \text{f(u)} \cdot \frac{d}{dx} [u][/tex]where u represents any function other than a variable

For the first term, replace [tex]\text{t}[/tex] with [tex]2x[/tex], and apply the chain rule to the function. Do the same for the second term; replace

[tex]\displaystyle-[(2x)^2+1] \cdot (2) \ + \ [(x^2)^2 + 1] \cdot (2x)[/tex]

Simplify the expression by distributing [tex]2[/tex] and [tex]2x[/tex] inside their respective parentheses.

[tex][-(8x^2 +2)] + (2x^5 + 2x)[/tex] [tex]-8x^2 -2 + 2x^5 + 2x[/tex]

Rearrange the terms to be in order from the highest degree to the lowest degree.

[tex]\displaystyle2x^5-8x^2+2x-2[/tex]

This is the derivative of the given integral, and thus the solution to the problem.

What equation represents the proportional relationship displayed in the table ?

Answers

Answer:

y=5x

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you divide each y-value by its corresponding x-value, you get 5.

For example, 10/2 = 5; 20/4 = 5

y is always 5 times x.

y = 5x

Answer: 5

Evaluate 32 divided by 1.6
show work long division