Use distributive property to simplify the expression: -4(-6p+7)

Answer:

s + r - l

Step-by-step explanation:

This is an arithmetic progression question.

The formula to get the terms of an AP is;

L_n = a + (n - 1)d

Where;

a is first term

n is number of term

d is difference between terms

Thus, second term is;

L_2 = a + d

Third term is;

L_3 = a + (3 - 1)d

L_3 = a + 2d

Similarly, L_4 = a + 3d

Now we are told that;

Sum of the first 2 numbers is s;

Sum of the second and third number is l

Sum of the last two numbers is r

Thus;

a + (a + d) = s - - - (eq 1)

(a + d) + (a + 2d) = l - - - (eq 2)

(a + 2d) + (a + 3d) = r - - - (eq 3)

Thus, sum of the first and last term will be;

L_1 + L_4 = a + (a + 3d)

Now,from earlier;

(a + 2d) = r - (a + 3d)

Also;

(a + d) = s - a

Thus, plugging them into the eq 2 gives;

(s - a) + r - (a + 3d) = l

Expanding we have;

s + r - 2a - 3d = l

d = (s + r - 2a - l)/3

Thus;

L_1 + L_4 = a + (a + (3(s + r - 2a - l)/3))

= 2a + s + r - 2a - l = s + r - l

Answer:

Answer:

[tex]y = 164[/tex]

Step-by-step explanation:

Given

[tex]y = 8x + 4[/tex]

Where

[tex]x = number\ of\ comic\ books[/tex]

[tex]y = total\ cost[/tex]

Required

Find y when x = 20

To do this, we simply substitute 20 for x in [tex]y = 8x + 4[/tex]

[tex]y = 8*20 + 4[/tex]

[tex]y = 160 + 4[/tex]

[tex]y = 164[/tex]

Hence, 20 comic books cost 164

Answer:

37x4

4x30=120

4x7=28

120+28=148

this is how i show my work. it has never failed me

Step-by-step explanation:

37×4

4×30

4×7=28

120+28=148

Integrate both sides with respect to t :

∫ dy/dt dt = ∫ -12t ² dt

y(t) = -4t ³ + C

Use the initial condition to solve for C :

5 = -4•0³+ C

C = 5

So

y(t) = -4t ³ + 5

and the answer is D.

Alternatively, you can directly apply the fundamental theorem of calculus:

[tex]\dfrac{\mathrm dy}{\mathrm dt}=-12t^2\implies y(t)=y(0)+\displaystyle\int_0^t -12u^2\,\mathrm du[/tex]

[tex]\implies y(t)=5-4u^3\bigg|_0^t[/tex]

[tex]\implies y(t)=5-4t^3[/tex]

Answer:

FIFTY - FIVE THOUSAND FIVE HUNDRED AND FIFTY-FIVE

Step-by-step explanation:

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

The range is the difference between the largest and smallest numbers. The mid range is the average of the largest and smallest number.

Hope this helps!

Answer:

x < 6.8 or 34/5

Step-by-step explanation:

The parenthesis on the right side don't affect the inequality in any way so we can get rid of that.

5x – 6 < 2 + 30 – 4

Now we simplify the right side by combining like terms.

5x - 6 < 28

Our goal is to isolate x

Add 6 to both sides

5x < 34

Divide both sides by 5

x < 34/5

x < 6.8

Answer:

55

Step-by-step explanation:

180 - 82 - 43 = 55

I think this is right! I hope you have a good day and stay safe!

Answer:

x= -3 straight up

Step-by-step explanation:

2x+9 = 7x + 24

simplify

x= -3

Answer:

.77 is the answer

Step-by-step explanation:

Answer:

0.77 is the anwser:)))))))))))

Answer:

4

Step-by-step explanation:

Significant figures are whole numbers, without any decimals, the four numbers are therefore significant.

Replace c with 50 and solve for f:

50 = 5/9(f-32)

Multiply both sides by 9:

450 = 5(f-32)

Distribute the right side:

450 = 5f -160

Add 160 to both sides:

610 = 5f

Divide both sides by5:

F =610/5

F = 122

Answer:

122 = F

Step-by-step explanation:

C = 5/9 ( F - 32)

Let C = 50

50 = 5/9 ( F - 32)

Multiply each side by 9/5

9/5 *50 = 9/5 *5/9 ( F - 32)

90 =  ( F - 32)

Add 32 to each side

90+32 = F -32+32

122 = F

Answer:

If you meant -12=3z, then the answer would be -4.

Step-by-step explanation:

Answer:

-4 is z :)

Step-by-step explanation:

Answer:

There is significant evidence at 0.05

Step-by-step explanation:

Given that:

After performing hypothesis., with confidence level being α = 0.05 ; The researcher decides to reject the Null. The conclusion will be ;

There is significant evidence to reject the Null at confidence level of 0.05

Answer:

201

Step-by-step explanation:

subtraction

Answer:

82.88%

Step-by-step explanation:

Given that:

Mean (μ) = 16.7 pounds

Standard deviation (σ) = 3.8 pounds

Number of pounds eaten = 11.5 = x

P(11.5 ≥ x ≤11.5)

P(x ≤ 11.5) :

Zscore = (x - μ) / σ

Zscore = (11.5 - 16.7) / 3.8

Zscore = - 5. 2 / 3.8

Zscore = −1.368421

P(Z ≤ - 1.3684) = 0.085593 (Z probability calculator)

P(x ≥ 11.5) ;

Zscore = (x - μ) / σ

Zscore = (11.5 - 16.7) / 3.8

Zscore = - 5. 2 / 3.8

Zscore = −1.368421

P(Z ≥ - 1.3684) = 0.91441 (Z probability calculator)

P(Z ≥ - 1.3684) - P(Z ≤ - 1.3684)

0.91441 - 0.085593 = 0.828817

0.828817 * 100% = 82.88%

Answer:

81

Step-by-step explanation:

9 × -9 = -81

-81 × -1 = 81

Answer:

81

Step-by-step explanation:

9*-9=- 81

-81*-1= 81

Answer:

60,000

Step-by-step explanation:

Jane-2000

Peter-ratio of 5=25000

Marta-ratio of 7=35000

25000+35000

60000

Answer:

$6,000

Step-by-step explanation:

If [tex]y[/tex] is the amount of money a child receives, and [tex]x[/tex] is the total amount being divided among the children, then

Jane's share:  [tex]y = \frac{4}{4+5+7} * x = \frac{4}{16}x[/tex]

Peter's share:  [tex]y = \frac{5}{4+5+7} * x = \frac{5}{16}x[/tex]

Martha's share:  [tex]y = \frac{7}{4+5+7} * x = \frac{7}{16}x[/tex]

We know Jane got $2000, so we can use that to solve for [tex]x[/tex]:

[tex]\frac{4}{16} x = 2000[/tex]

[tex]x = \frac{16}{4} * 2000 = 8000[/tex]

Plug this x value in to find how much Peter and Martha received:

[tex]\frac{5}{16} * 8000 + \frac{7}{16} * 8000 = $6000[/tex]

Answer:

Each of the twin beds: 5 decorative pillows

Each of the queen beds: 11 decorative pillows

Step-by-step explanation:

Let the number of pillows used for each twin bed be x

Let the number of pillows used for each queen bed be y

she decorated 1 twin bed and 2 queen beds and used a total of 27 pillows. Thus;

x + 2y = 27 - - - (eq 1)

Also, she used

37 pillows to spruce up 3 twin beds and 2 queen beds. Thus;

3x + 2y = 37 - - - (eq 2)

From eq 1, x = 27 - 2y

Thus;

3(27 - 2y) + 2y = 37

81 - 6y + 2y = 37

81 - 4y = 37

4y = 81 - 37

4y = 44

y = 44/4

y = 11

x = 27 - 2(11)

x = 27 - 22

x = 5

Thus, she used 5 decorative pillows for each of the twin beds and 11 decorative pillows for each of the queen bed

Answer:

1/6, 2/3, 15/18

Step-by-step explanation:

get a common denominator

2/3 times 6

15/18 times 1

1/6 times 3

new fractions : 12/18, 15/18, 3/18

so it would be 3/18, 12/18, 15/18

then just revert it back to the original fraction and you have your answer

Answer:

Answer:

6 days

210 pages

Step-by-step explanation:

As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.

Now since he reads 35 pages per day.

Then mathematically;

y = 35x

For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)

To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that

Also; y = 30(x + 1)

Equating the two situations

35x = 30(x + 1)

35x = 30x + 30

35x -30x = 30

5x = 30

x = 30/5

x = 6 days

This means that it will take Amir 6 days to catch Jese.

The number of books they would have read by then is y = 35x = 30(x + 1)

= 35 * 6 or 30(6+1)

= 210

Step-by-step explanation:

Answer: dude above me copied

Step-by-step explanation:

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Answer:

0.05 or 5/100

Step-by-step explanation:

Answer:i mean i will put -1 but i am not sure tho with it yk

Step-by-step explanation:

i am so sorry if i am not right but hope u the bast tho have a good day!

|-3.75| is greater than |-2.4|

A number system is defined as a system of writing to express numbers.

We need to find which number is greater than |-2.4| in the given options.

We know that the absolute value of |-2.4| is always positive.

The value of |-2.4|  is 2.4.

Now we need to check which number is greater than 2.4.

In option A it is -6.3 which is negative. so it is not our answer.

Even in option B the value is negative so it is also not correct.

In option C we have |-3.75|. The value of |-3.75| is 3.75 because it is in mod which we consider as positive.

As 3.75 is greater than 2.4. so out answer will be |-3.75|

Hence, |-3.75| is greater than |-2.4|

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Answer:

There were total 2900 seats in the theater.

Step-by-step explanation:

Given that:

Seats filled by students = 1247 seats

Vacant seats = 57%

Total percentage of seats = 100%

Percentage of seats filled by students = (100-57)%

Percentage of seats filled by students = 43%

Let,

x be the total number of seats.

43% of x = 1247

[tex]\frac{43}{100}x=1247\\0.43x=1247[/tex]

Dividing both sides by 0.43

[tex]\frac{0.43x}{0.43}=\frac{1247}{0.43}\\x=2900[/tex]

Hence,

There were total 2900 seats in the theater.

Answer:

7*6=42

so 42

Step-by-step explanation:

Answer:

1 gram

Step-by-step explanation:

Rounded, it is one gram or one whole, you round the whole number.