use the distributivity of multiplication of rational numbers over addition to simplify:
-3/8 * (4/7+[-11/7])
Plssi want with explanation

Answers

Answer 1

9514 1404 393

Answer:

  3/8

Step-by-step explanation:

The distributive property tells you the outside factor multiplies each term inside parentheses.

  a(b +c) = ab +ac

  (-3/8)(4/7 +(-11/7)) = (-3/8)(4/7) + (-3/8)(-11/7)

  = -12/56 +33/56 = 21/56 = 3/8


Related Questions

Please help me with the questions please ASAP ASAP please ASAP help

Answers

Answer:

A. x = 2, y = 12

Step-by-step explanation:

You can solve this problem using similar triangles; you know the triangles are similar because each of the two legs of the triangles are cut in half, meaning the line 5x - 3 is parallel to x + 12. Because of the nature of this figure (the line that is length 5x - 3 cuts the triangle exactly halfway), you can write an equation to find x:

2(5x - 3) = x + 12 (this is a property of triangles when a line is parallel to a base and intersects the triangle at half of that base's height. The line would be half the base)

10x - 6 = x + 12 (simplify)

9x - 6 = 12 (subtract x from both sides)

9x = 18 (add 6 to both sides)

x = 2 (divide both sides by 9)

At this point, you could just click A since that's the only problem where x = 2, but for the sake of properly explaining this problem, I'll continue to find y.

In the image, y + 8 is equal to 2y - 4, shown by the short lines intersecting each side signifying congruence. Now, you can write an equation for this and solve:

y + 8 = 2y - 4

8 = y - 4 (subtract y from both sides)

y - 4 = 8 (switch it around so y is on the left; you don't have to do this, but I think it makes the problem more comfortable to solve)

y = 12 (add 4 to both sides)

According to the bar graph, which teacher gave 16 minutes of homework on Wednesday?

Answers

Ms.Jones gave sixteen minutes of homework

State whether the sequence is Arithmetic, Geometric, or Neither: 40, 43, 46, 49, ......

Answers

Answer:

t2-t1 =43-40

Step-by-step explanation:

you subtract the second term by the first term to get the common difference

Find the area of the figure and type your result in the empty box.
3 m
2 m
4 m

Answers

Answer:

14m^2

Step-by-step explanation:

area of triangle = 1/2bh

= 1/2(3)(4) = 6

area of rectangle = bw

=(4)(2) = 8

6+8 = 14

Answer:

14m²

Step-by-step explanation:

rectangle area= 4*2=8

triangle area= 1/2*3*4=6

total area=14

Write and expression for the phrase, "8 less than k".
PLEASE PLEASE PLEASE PLEASE HELP HELP HELP ME ME ME ME ME!!

Answers

Answer: k - 8

Step-by-step explanation:

k - 8

the answer would be 8 less than the value of k

What is the area of a triangle with a base of 6mm and a height of 9mm

Answers

Areaa= 0.5 b h
= 0.5 x 9 x 6 = 27 mm

Algebraically, determine the exact value of x for the
equation 85(2)0.4x = 6000.

Answers

Answer: 14,575

Step-by-step explanation:

85(2) 0.4x = 6000      Multiply 85 times 2

170 + 0.4x = 6000      Subtract 170 from both sides

         0.4x = 5830       Divide 5830 by 0.4

             x = 14,575

1. What is the solution of the system
{3x - y = 14
{4x + y = 21 ?
A (−5, 3)
B (4, −2)
C (5, 1)

Answers

Answer:

C

Step-by-step explanation:

3x-y=14

4x+y=21

add

7x=35

x=35/7=5

4×5+y=21

y=21-20=1

so (5,1 ) is the solution.

I need this for bonus points !

Answers

The correct answer is D
Correct answer- D.

The rest are the same angles

I need help on this quick check

Answers

Answer:

20% more

Step-by-step explanation:

30%-10% = 20%

What number is represented in the expanded notation below?

90,000,000 + 500,000 + 2,000 + 80 + 4 + 0.1 + 0.09

Answers

Answer:

90,502,084.19

Step-by-step explanation:

Just add them together

The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions

Answers

Answer:

Width = 18 inches

Length = 59 inches

Step-by-step explanation:

The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions

Perimeter of a rectangle = 2L + 2W

The length of a rectangle is five more than triple the width.

L = Length = 5 + 3W

W = Width

If the perimeter is 154 inches, what are the dimensions

Hence,

154 = 2L + 2W

154 = 2(5 + 3W ) + 2W

154 = 10 + 6W + 2W

Collect like terms

154 - 10 = 8W

144 = 8W

W = 144/8

W = 18 inches

Length = 5 + 3W

Length = 5 + 3(18)

Length = 5 + 54

Length = 59 inches

What kind of triangle is 8,14 and 12 and 25,16,20
A.not a triangle
B.right
C.acute
D. Obtuse
asapppppppppppppppppp

Answers

Answer: A not a triangle

Step-by-step explanation:

Khaya is delivering groceries to his mother who stays 8km from the shop. How long will it take him to cover this distance if he drives at an average speed of 65km/h? Give your answer rounded to the nearest minute.​

Answers

Answer:

7.385 minutes

Step-by-step explanation:

Given that :

Average speed = 65km/hr

The distance covered = 8km

The time taken Given the information above :

Recall:

Speed = distance / time

Time taken = distance / speed

Time taken = 8km / 65km/hr

Time taken = 0.1230769 hr

Time taken = 0.1230769 * 60 = 7.385 minutes

The time taken to cover this distance is 7.3848 minutes

What is speed?

Speed is the change of an object's distance within a specified period of time.

Mathematically, speed can be calculated by using the relation:

Speed = distance/time

From the given information:

The average speed = 65 km/hThe distance = 8 km

From the above formula, we can make the time the subject of the formula:

Speed = distance/time

By cross multiplying

Time = distance/speedTime = 8 km / 65 km/hTime = 0.12308 hour

We all know that:

60 seconds = 1 minute60 minutes = 1 hour

Thus, time(t) = (0.12308 × 60) minutes

Time(t) = 7.3848 minutes

Learn more about speed here:

https://brainly.com/question/4931057

Given ON, what is mABC ?

Answers

Answer:

personally, I would say try using the formula you were taught because there are different ways people do things

Step-by-step explanation:

formula is key

how do you solve fire x.

Answers

Answer:

x = 10

Step-by-step explanation:

Sum of all the angle of triangle = 180

71 + 50 + 6x - 1 = 180

71 + 50 -1 + 6x = 180

    120  + 6x   = 180

            6x = 180 - 120

           6x = 60

             x = 60/6

x = 10

WILL GIVE BRAINLIEST!
Find x given y = 18° in the figure below.
x =

Answers

The two angles are vertical angles so they are congruent.

3x+18=5x

2x=18

x=9

5x=3x+y
5x-3x=18
2x=18
x=18/2
x=9

3•9+18=27+18=45
5•9=45
Angles have the same measure.

I WILL GIVE BRAINLIEST!!!

NO SENDING ME LINKS!!!

Answers

Answer:

N(t)=52(9/7)^t

Step-by-step explanation:

hope it's helpful..

have a great day

A student is working a part time job delivering pizzas The student earns $40 a shift and earns $1.25 per pizza delivered. One shift, the student earned $58.75. How many pizzas did they deliver that shift?​

Answers

Answer:

14

hope this helped

Answer:

i believe the student delivered 40 pizzas but i could be very wrong

Step-by-step explanation:

Please help me I've been stuck on this one question and I can't find the answer to it.
For four Fridays in June, Grace earned $21.50, $29.75, $32.00, and $15.25 from babysitting.

In July, she earned $8 more for babysitting four Fridays than she did in June.

What is the increase in the mean for July compared to June?



Round the answer to the nearest penny.

Answers

Answer:

$2

Step-by-step explanation:

Its actually quite simple.

first find the mean for june.

add $21.50 + $29.75 + $32.00 + $15.25

that is equal to 98.5

then divide by 4.

that is 24.625

do not round to the nearest penny yet.

now you need to find the mean for july.

just add $8 to the total amount you made in june to find the total amount you made in july.

that is 106.5

then divide that by four because you worked four fridays in july as well.

that is 26.625.

finally you need to find the difference between 26.625 and 24.625.

26.625-24.625= 2

and ta-da!!!

the answer us $2.

your welcome. tell me if it is correct.

Ahhhh I need help now!Will mark brainlest! Please help with the question below:
Find the number set which satisfies each of the problems. If 3 is added to the absolute value of the product of a number and -9, the result is 4.

Answers

Answer:

10

Step-by-step explanation:

Answer:

either 1/9 or -1/9, they both work

Step-by-step explanation:

the problem is |-9x| + 3 = 4

-9x = 1

x = -1/9

and since it is absolute value you use both the positive and the negative...

hope this helps

plz besties can you help me
[tex] {3}^{x + 1} \times 5 - 4 \times {3}^{x + 2} = - \frac {7}{3} [/tex]
I need the value of x​

Answers

the answer would be x= -2

A magician's assistant makes $10.60 an hour. If he has already saved $53.70, how many hours must he work to save at least $165?

Answers

Answer:

Step-by-step explanation:

[tex]10.6h+53.7\ge 165\\ \\ 10.6h\ge 111.3\\ \\ h\ge 10.5[/tex]

Consider the following pair of equations:

y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

Answer:

(3,2)

Step-by-step explanation:

y = -2x + 8

y = x-1

Substitute x-1 for y in the equation y = -2x + 8.  x-1 = -2x + 8

Use the Additive Property to move the

constant terms to one side of the equation.      x-1 = -2x + 8

                                                                                +1           +1

                                                                                  x = -2x + 9

Now do the same to the variable terms.              +2x +2x

                                                                                 3x = 9

Divide both sides of the equation by the

constant in the variable term.                               ÷3 = ÷3

                                                                                   x = 3

To find y, simply substitute the value of x into

one of the original equations.                                 y = x-1

                                                                                   y = 3-1

Solve:                                                                         y = 2

The solution is (3, 2).

PLEASE HELP I NEED THIS ASAP
solve the following equation for the value n. SHOW YOUR WORK!!!

Answers

Answer:

n=2

Step-by-step explanation:

16+6n=7(6-n)

16+6n=42-7n

-16 +7n -16 +7n

13n=26

13n/13=26/13

n=2

The bearing of a plane from an airport is 65 degress.Calculate the bearing of the airport from the plane

Answers

Answer:180+65=245, your answer is 245 degrees.

Step-by-step explanation:

Could you guys please help me solve this basic math. PLS OMG ITS DUE :(

Answers

the answer is -7. 21- -3=-7

Written in slope-intercept form, the equation Ax + By = C become

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

Ax + By = C ( subtract Ax from both sides )

By = C - Ax ( divide all terms by B )

y = [tex]\frac{C}{B}[/tex] - [tex]\frac{A}{B}[/tex] x , that is

y = - [tex]\frac{A}{B}[/tex] x + [tex]\frac{C}{B}[/tex] → C

7. An example for using estimation would be:
O O O O
A) counting back change
B) depositing money in the bank
C) guessing the number of pennies in a jar
D) counting the number of dollar bills in your wallet.

Answers

Guessing the number of pennies in a jar
The answer should be c I hope it helps My friend have a nice day

X/-2 - 4 < 2
what is x?

Answers

Answer:

x>-12

Step-by-step explanation:

x/-2-4<2

x/-2<2+4

x/-2<6

x<6(-2)

x<-12

x>-12

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