Which statements are true about the expression 8 (a + 7)? Check all that apply.


1.To simplify, distribute a to 8 and to 7.

2.8(a) can be rewritten as 8a.

3.8 (a + 7) can be rewritten as 8 (a) + 8 (7).

4.8 (a + 7) can be rewritten as 8 (a) + (7).

5.An equivalent expression is 15a.

6.An equivalent expression is 8 a + 7

7.An equivalent expression is 8 a + 56

Answers

Answer 1

Answer:

Option 3)

8(a + 7) can be rewritten as 8(a) + 8(7).

Option 7)

An equivalent expression is 8a + 56

Step-by-step explanation:

We are given the following expression:

[tex]8 (a + 7)[/tex]

We can simplify the expression by distributing 8 over (a+7).

Distributive property:

[tex]a(b+c)\\=(a\times b) + (a\times c)\\=a(b) + a(c)\\=ab + ac[/tex]

Simplifying the expression, we get,

[tex]8(a+7)\\=(8\times a)+(8\times 7)\\=8a + 56[/tex]

Thus, the correct options are:

Option 3)

8(a + 7) can be rewritten as 8(a) + 8(7).

Option 7)

An equivalent expression is 8a + 56

Answer 2

The true statements about the expression 8(a+7) are 2, 3 and 7.

When evaluating the expression 8(a+7), several steps can be taken to rewrite or simplify it. Here's a closer look at the provided statements:

Statement 1 suggests to distribute 'a' to 8 and to 7, which is incorrect. The correct procedure is to distribute the 8 to both 'a' and the 7.

Statement 2 correctly suggests that 8(a) can be rewritten as 8a.

Statement 3 is true, as 8(a+7) can be rewritten following the distributive property as 8(a)+8(7), which simplifies to 8a+56.

Statement 4 is incorrect because it omits the distribution of 8 over both terms within the parentheses.

Statement 5 is incorrect as there is no reason to believe that 8(a+7) simplifies to 15a without any additional information.

Statement 6 is incorrect as it implies that the 8 is only multiplied by 'a' and not by the 7.

Statement 7 is correct because the expression 8(a+7) is correctly expanded to 8a+56.


Related Questions

Help, ill give brainliest

Answers

Answer:

its been awhile so i aint even going to try

Step-by-step explanation:

laskjdflaksjfasldkjfa;sldfjkal;kdfjasl;kfjasl;dkfj

Which graph represents the solution to the inequality 11 Less-than-or-equal-to y - 43?

A number line going from 50 to 60. A solid circle is at 54. Everything to the left of the circle is shaded.
A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.
A number line going from negative 35 to negative 25. A solid circle is at negative 32. Everything to the left of the circle is shaded.
A number line going from negative 35 to negative 25. A solid circle is at negative 32. Everything to the right of the circle is shaded.

Answers

11 <= y -43

Solve for y:

First rewrite so y is on the left side:

Y-43 >= 11

Add 43 to both sides:

Y >=54

Since 54 is included in the answer it would be a solid dot on 54 and the shaded area would cover all numbers greater than 54.

The answer Is:

A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.

Answer:

B. second choice

Step-by-step explanation:

I answered the question on Edge and got it right.

Difference between an integer and a real number

Answers

Answer:

Real number is any number. This includes integers, rational, and irrational numbers.

While integers are just positive or negative whole numbers that also includes 0.

Hope this helps!

Guguvyftcgxfctc ull busy

Divide 3x^3 - 2x^2 - 61x - 20 by x - 5.

3x^2 + 13x + 4
3x^2 - 13x + 4
3x^2 - 17x + 24 R 100
3x^2 + 17x - 24 R 100

Answers

Answer:

3x² + 13x + 4

Step-by-step explanation:

3x³ - 2x² - 61x - 20

3x³ - 15x² + 13x² - 65x + 4x - 20

[3x²(x - 5) + 13x(x - 5) + 4(x - 5)]/(x-5)

3x² + 13x + 4


Find the area of the sector with a central angle of 60° and a radius of 5 inches. Round to the nearest tenth.

Answers

Answer:

15.4 inches square

Step-by-step explanation:

Formula for finding the sector of a circle is:

[tex]A = \frac{\theta°}{360°} \times \pi {r}^{2} [/tex]

Given that,

[tex]{\theta} = {60}^{0} [/tex]

r= 5 inches

Take;

[tex]\pi = 3.14[/tex]

By substitution,

[tex]A = \frac{60°}{360°} \times 3.14 \times {5}^{2} [/tex]

A =15.4 inches square

namois fish is 40 millmeters her guniuea pig is 25 centimeters

Answers

Answer: the guniuea pig is bigger by 25 centimeters!

Step-by-step explanation:

Fish= 40 milimeters = 4 centimeters

Guniuea pig= 25 centimeters

Answer:

the guniuea pig is bigger by 25 centimeters!

just easy

The rectangle shown has a perimeter of 60 inches and a width of 12 inches. What is its length?

A.) 12 Inches
B.) 18 Inches
C.) 36 Inches
D.)48 Inches​

Answers

Answer:

it is 18

Step-by-step explanation:

that the ansewer if you divid

Final answer:

The length of the rectangle with a perimeter of 60 inches and a width of 12 inches is 18 inches, calculated using the perimeter formula for rectangles and solving for the length.

Explanation:

The question asks us to find the length of a rectangle given its perimeter and width. To solve this, we use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. In this case, we have P = 60 inches and w = 12 inches.

So, substituting the given values into the formula, we get:

60 = 2l + 2(12)

First, calculate the double of the width:

2(12) = 24 inches

Now, subtract this value from the total perimeter to find the double of the length:

60 - 24 = 36 inches

Finally, divide by 2 to find the length of the rectangle:

36 / 2 = 18 inches

Therefore, option B, 18 inches, is the correct answer for the length of the rectangle.

5. Stan has a good driver discount on his automobile insurance policy. He pays 86% of the regular
premium rate of $279. The actual premium Stan pays is
O a. $86.00
O b. $193.00
O c. $239.94
O d. $279.00
OOOO

Answers

The answer is c

You just multiply 279 by 0.89.

Hope this helps!
The answer is 239 dollars

how many 8 oz bags of trail mix can be filled from a 10 pound bag of trail mix?​

Answers

Answer:

20 bags

Step-by-step explanation:

undo the subtraction of x-2=6

Answers

Answer:

x = 8

Step-by-step explanation:

I am assuming that you want to solve for x.

Note the equal sign, what you do to one side, you do to the opposite side. Isolate the variable, x. Add 2 to both sides:

x - 2 (+2) = 6 (+2)

x = 6 + 2

x = 8

x = 8 is your answer.

~

Which is more work, pushing with 115 N over 15 m or lifting 20 kg 10 m?

Answers

Answer: THEY ARE THE SAME

Step-by-step explanation:

Therefore, lifting 20 kg 10 m requires more work than pushing with 115 N over 15 m.

Note: It's important to mention that the unit of work is the Joule (J), where 1 Joule is equal to 1 N·m. So, in both cases, the units of work are in Joules.

What is 111%of 800 rounded to the nearest hundred

Answers

Answer:

[tex]900[/tex]

Step-by-step explanation:

Step 1:  Make an expression

What is 111% of 800

[tex]800 * (1 + 0.11) = x[/tex]

[tex]800 * (1.11) = x[/tex]

Step 2:  Multiply

[tex]800 * (1.11) = x[/tex]

[tex]888 = x[/tex]

Step 3:  Round to the nearest hundred

888

Since the tens place is greater than 5, we round up.

[tex]900[/tex]

Answer:  [tex]900[/tex]

I need help with this question ASAP Please pick all of the correct ones

Answers

A: 32x-12; and 4*8x-4*3

For B: 7y+10y; and 17y

Hope this helps!

Answer:

(a):  4(8x - 3)

Option B, 32x - 12 because 4(8x - 3) distributes as 4*8x + 4*-3 = 32x - 12

Option D, 4*8x - 4*3 because it simplifies into 32x - 12

(b):  7y + 2y + 8y

Option C, 17y because 7 + 2 + 8 = 17

Option A, 7y + 10y because it adds to 17y

How many cubed pieces of fudge that are 3 inches on an edge can be packed
into a Christmas tin that is 9 inches deep by 12 inches wide by 9 inches high with
the lid still being able to be closed?

1. 18
2. 24
3. 32
4. 36
5. 43

Answers

Answer:

36 cubed pieces of fudge

Step-by-step explanation:

9 x 12 = 108

108 ÷ 3 = 36

HELP!!!! WILL MARK BRAINLEST IF CORRECT!


How is the distributive property used when finding the product of two polynomials? How are polynomials closed under multiplication?

Answers

Answer:

Multiplying polynomials is a bit more challenging than adding and subtracting polynomials. We must use the distributive property to multiply each term in the first polynomial by each term in the second polynomial. We then combine like terms. We can also use a shortcut called the FOIL method when multiplying binomials. Certain special products follow patterns that we can memorize and use instead of multiplying the polynomials by hand each time. We will look at a variety of ways to multiply polynomials.

Solving the elimination method what is 3x-y=9 2x-y=7

Answers

Answer:

x = 2 , y = -3

Step-by-step explanation by elimination:

Solve the following system:

{3 x - y = 9 | (equation 1)

2 x - y = 7 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{3 x - y = 9 | (equation 1)

0 x - y/3 = 1 | (equation 2)

Multiply equation 2 by 3:

{3 x - y = 9 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{3 x - y = 9 | (equation 1)

0 x+y = -3 | (equation 2)

Add equation 2 to equation 1:

{3 x+0 y = 6 | (equation 1)

0 x+y = -3 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 2 | (equation 1)

0 x+y = -3 | (equation 2)

Collect results:

Answer: {x = 2 , y = -3

Answer:

x=2 y=7.

Step-by-step explanation:

3x-y=9

-2x+y=7

x=2

2(2)+y=7

4+y=7

-4. -4

y=7

Do u simplify 7 wholes and 8/10

Answers

Answer: Simplify 8/10 which is 4/5.

Step-by-step explanation:

Solve the following system of equations. Enter the y-coordinate of the
solution. Round your answer to the nearest tenth.
5x+2y=7
- 2x + 6v=9

Answers

Y= 1.3 (Rounded to nearest tenth) x = 0.7 (rounded to the nearest tenth)

Step-by-step explanation:

You can solve this using substitution or elimination.

I used elimination.

-3(5x+2y =7)  <---- On this step I used multiplicitive property of equality and multiplied everything by -3.

-15-6y=-21

-2x+6y=9

+_____________________

Add these and we get -17x=12

We divide by -17 and we get that x= 12/-17

Substitute this back into the original equation and we get that y=1.3 (rounded)

Answer:x=0.95

Y=1.12

Step-by-step explanation:

5x+2y=7...(1)

-2x+6y=9..(2)

Multiply (1) by -2

-10x-4y=7...(3)

Multiply (2) by 5

-10x+30y=45..(4)

Substrate (3) from (4)

34y=38

Y=38/34

Y=1.12

Substitute y=1.12 to(1)

5x+2(1.12)=7

5x+2.24=7

5x=7-2.24

5x=4.76

X=4.76/5

X=0.95

Solve the following equation for d

M = d/F

Answers

m= d/F
(f)m=d/F (F/1)
d=f(m)

1/8 divided by 1/4 =

Answers

=

1 /8  / 1 /4

=( 1/ 8 )( 4 /1 )

= (1)(4)/ (8)(1)

= 4 /8

= 1 /2  or 0.5

Answer:

1/2

Step-by-step explanation:

To multiply fractions we do keep change flip, keeping the first fraction, changeing the division into multiplication and flipping the last fraction so we don't have to go into decimals   so 1/8 divded by 1/4 becomes

1/8 * 4/1

Now we multiply the numerators together and the denominators together and then put it back in fraction form. Another option is to cross reduce, both will be shown.

Multiplying numerators and denominators

1 * 4 = 4

8 * 1 = 8

Put it into fraction form;

4/8          Now simplify

1/2

Cross Reducing

To cross reduce you can divde two numbers that are accross from each other in a fraction equation (Multiplication only) by the same number

1/8 * 4/1      The four and eight are across from each other so we can cross reduce by 4 because that is there gcf

then we have

1/2 * 1/1       now we multiply the numerators by numerators and the denominators by denominators in this case we don't have to go that far though because 1/1 is 1 and anything times one is itself, therefore the awnser is

1/2

Given triangle JKL : triangle XYZ, find the scale factor.

Answers

Answer:

2/3

Step-by-step explanation:

i don't know how to explain it, but this is the answer :) good luck

The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side The third side is 7
meters more than the first side. What is the length of each side?​

Answers

Answer:

The length of each side is 31.5m, 26.5m, 7m

Step-by-step explanation:

Let the length of the first side of the triangle be x meters.

Then, the second side is x-5 meters.

The third side is given as 7 meters.

The perimeter is 65 meters

This gives us the equation:

[tex]65 = x + x - 5 + 7[/tex]

[tex]65 - 7 + 5 = x + x[/tex]

[tex]63 = 2x[/tex]

[tex]x = \frac{63}{2} = 31.5[/tex]

The length of each side is 31.5m, 26.5m, 7m

Find the product of 3 2/3 as a mixed number

Answers

Answer:

11/3

Step-by-step explanation:

1. Solve the inequality for x
Show each step of the solution
16x > 2x - 3

Answers

Answer:

x > -3/14

Step-by-step explanation:

Step 1:  Subtract 2x from both sides

16x - 2x > 2x - 3 - 2x

14x > -3

Step 2:  Divide both sides by 14

14x / 14 > -3 / 14

x > -3/14

Answer:  x > -3/14

Cheese sticks that were previously priced at "10 for $1" are now "2 for $1". Find each percent change.


Part 1 out of 2

Find the percent decrease in the number of cheese sticks you can buy for $1.


The percent decrease is

Answers

Answer:

80%

Step-by-step explanation:

Rocky walks his dog Fido 4 times around the
lock. If they walked a total of 1,144 feet,
how long is it to go around the block once?

Answers

Answer:

286

Step-by-step explanation:

1,144÷4=286

Share 160 sweets in the ratio 8:12

Answers

let's divide the whole by the sum of its ratios, namely let's 160 ÷ (8+12), and then distribute accordingly.

[tex]\bf \textit{160 at 8:12 ratio}\qquad \qquad \cfrac{8\cdot \frac{160}{8+12}}{12\cdot \frac{160}{8+12}}\implies \cfrac{8(8)}{12(8)}\implies \cfrac{64}{96}[/tex]

Micahdisu please help

Answers

Answer:

1) A - 42°

2) 74°

3) B - 45°

4) B - 66°

Step-by-step explanation:

1) E = D+H

87 = 45 + H

H = 42°

2) 180 - 50 - D

D = 180 - 44 - 62 = 74°

3) F = 105

H = 180-105 = 75

I + H = C + E

I + 75 = 83 + 37

I = 45°

4) D = 180 - (E + F)

D = 180 - (30 + 57) = 93°

93 = A + 27

A = 66°

Answer: In figure 1, angle H = 42°. In figure 2, angle F = 56°. In figure 3, angle I = 45° and in figure 4, angle A = 66°

Step-by-step explanation: Please refer to the attached diagram for details.

From figure 1, if angle E measures 87, then angle F would be calculated as

Angle F = 180 - 87 {Sum of angles on a straight line equals 180}

Angle F = 93

Then looking at triangle FHD, we have angles D and F as 45 and 93. Angle H = 180 - (45 + 93) {Sum of angles in a triangle equals 180}

Angle H = 180 - 138

Angle H = 42

From figure 2, if triangle ACB has two angles given as 44 and 62, then the third angle C, would be calculated as

Angle C = 180 - (44 + 62) {Sum of angles in a triangle equals 180}

Angle C = 180 - 106

Angle C = 74

Note that angle D equals angle C {Opposite angles are equal}. So if angle D measures 74, then looking at triangle FED, we have two angles already, E and D which are 50 and 74. To calculate angle F, the equation would be

f = 180 - 50 - 74

f = 56

That is, angle F = 56.

From figure 3, we have angles C and E given as 83 and 37. To calculate angle G

Angle G = 180 - (83 + 37) {Sum of angles on a straight line equals 180}

Angle G = 180 - 120

Angle G = 60

Also, to calculate angle H,

Angle H = 180 - 105 {Sum of angles on a straight line equals 180}

Angle H = 75

Looking at triangle GHI, we have identified two angles which are 60 and 75. To calculate the third angle which is angle I,

Angle I = 180 - (60 + 75) {Sum of angles in a triangle equals 180}

Angle I = 180 - 135

Angle I = 45

From figure 4, if angles B and E measure 27 and 30 respectively then the whole of that angle measures 27 + 30 which equals 57.

So looking at the biggest of all three triangles, two angles have been identified which are angles F and {B + E}

To calculate angle A

Angle A = 180 - (57 + 57) {Sum of angles in a triangle equals 180}

Angle A = 180 - 114

Angle A = 66.

The legs of a right triangle measure 4 and 6 inches. The area of the triangle is
5 in.2
24 in.?
12 in.2

Answers

Answer:

12

Step-by-step explanation:

The area of a right triangle is base1 * base2 *.5

This means the area is 4*6*.5 = 12

Distrubite and Combine like terms
4(2a-5b-7)-3(2a+3b+5)

Answers

You do the math first then work the letters so 2-5 ect

Answer:

2a-29b-43     pls give me brainlist because my answer is the best

Step-by-step explanation:

8a-20b-28-6a-9b-15

2a-29b-43

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