What four consecutive integers have a sum of 90?

Answers

Answer 1

Answer:

x, x+1, x+2, x+3.

Step-by-step explanation:

I took the test

Answer 2

Answer:

21 + 22 + 23 +24 = 90

Step-by-step explanation:

Let's represent this with x:

x+x1+x+2+x+3 = 90

Group the x's together

4x+6 = 90

subtract 6 on both sides

4x=84

x=84/4

x= 21


Related Questions

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds.

Answers

Answer:

There were 15 small boxes shipped and 5 large boxes shipped.

Step-by-step explanation:

Let s = the number of small boxes shipped

Let l = the number of large boxes shipped

Each small box weigh 35 pounds, so (s) small boxes weigh 35s pounds. Each large box weigh 65 pounds, so (l) large boxes weigh 65l pounds. Therefore, the total weight 35s + 65l equals 850:

                                                 35s + 65l = 850

Since there were 3 times as many small boxes shipped as large boxes, there were MORE small boxes, so if we multiply 3 by the number of large boxes, we will get the number of small boxes, meaning s equals 3l

                                                  s = 3l

Write System of Equations:

                                                 35s + 65l = 850

                                                     s = 3l

Substitute value of s into the first equation:

35(3l) + 65l = 850

105l + 65l = 850

170l    850

__   =   __  

170      170

  l = 5

Since l = 5, we know 5 large boxes were shipped.

Use l = 5 to solve for s:

s = 3l

s = 3(5)

s = 15

Since s = 15, we know 15 small boxes were shipped.

x/7= -9

need help with

Answers

Answer:

x = -63

Step-by-step explanation:

To isolate x, you must first do the reciprocal on both sides, so you do 7/x times x/7 cancel that out, then do it on the other side, so -9/1 x 7/x = -63.

Answer:

x = -63

Step-by-step explanation:

To isolate x, you must first do the reciprocal on both sides, so you do 7/x times x/7 cancel that out, then do it on the other side, so -9/1 x 7/x = -63.

Suppose you discover that your growth fund, income fund, and money market fund return
rates are better estimated at 12%, 6%, and 3% per year respectively. How should you invest
the $3200 to get a retum of $255 in one year?

Answers

Answer:−3+3=−4

2+3−=15

4−3−=19

2 3

Step 1: Pair the equations to eliminate y because the y terms are already additive inverses

1

−3+3=−4

2+3−=15

2

2+3−=15

4−3−=19

2 3 4

3 =11

5

6 −2=34

Step 2: Write the two new equations

as a system

Step 3: Substitute the value for x and z

into one of the original equations

3 =11

3 5 +2=11

4

5−3+3 −2 =−4

15+2=11

5

6 −2=34

5−3−6=−4

−3−1=−4

9x

2=−4

=−2

= 45

x = 5

−3=−3

=1

The solution (5, 1, -2)

Step-by-step explanation:

The student council has a budget of $100 to spend on the balloons for the holiday dance. They order from a company that charges $2 per ballon, plus a $12 delivery fee per order. The student council uses the inequality below, where b represents the number of balloons ordered, to determine if they have enough money to place an order for a specific number of books. 2b+12<100

Answers

Answer:

44 Balloons        

Step-by-step explanation:

We are expected to solve for the total number of balloons they can get with $100

given that the expression for the total cost of balloons is given as

2b+12<100

We can proceed to solve for the total number of balloons they can buy, by solving for b we have

2b+12=100

2b=100-12

2b=88

divide both sides by 2 we have

2b/2=88/2

b= 44

Therefore they would get a total of 44 balloons  

A composition of rigid
motions maps one figure to another figure is each intermediate image in the composition congruent to the original and final figures? Explain.

Answers

Answer:

Swaped

Step-by-step explanation:

Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions.

What types of motions create congruent figures?The two are said to be congruent if and only if one of two plane figures can be produced from the other by a series of rigid motions such as rotations, translations, and/or reflections.Because rigid motions preserve length and angle measurements, the corresponding parts of congruent figures are also congruent. As a result, if the corresponding parts of two figures are congruent, there is a rigid motion or a composite rigid motion that maps one figure onto the other.Every point in the plane can be moved in that direction using any method. a) The distance ratio between the two points remains constant. b) The relative positions of the points remain unchanged.

Hence, Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions. As a result, the original and final figures can be seen in agreement with each intermediate image.

To learn more about Rigid motions, refer to:

brainly.com/question/22735923

#SPJ2

I HAVE 5 MINUTES (15 points)

Answers

Answer:

A

Step-by-step explanation:

What is the quotient of 6 and 2?
?
-12.
1
12.
0

12.
0 12.

Answers

To find the quotient you do 6/ (-1/2). You keep, change, flip when dealing with fractions.

Answer:

-12

Step-by-step explanation:

I got it right on edgen

how do I solve -15+w=6​

Answers

Ans

Add 15 to 6  so w= 21

Step-by-step explanation:

What is the measure of angle F?

A. Cannot be determined
B. 65°
C. 55°
D. 75°

Answers

Answer:

65 degrees since both opposite sides are 10

Answer:

65 degrees

Step-by-step explanation:

Just took the test

13. To rent a car, you pay a one-time charge of $45 plus a charge of $0.29 for
every mile that you drive. If you drive 120 miles, how much is the total charge for
the rental car?
(c) $79.80
(a)' $75.29
(d) $74.71
(b) . $165.29
(e) none of these
Please show the work

Answers

Answer:

The correct choice is (c) $79.80

Step-by-step explanation:

The total charge for renting a car can be split into two parts:

A fixed one-time charge of $45

A variable charge of $0.29 per driven mile.

If I drive 120 miles, the variable charge will be 120*0.29 = $34.80

The total charge will be $45 + $34.80 = $79.80

The correct choice is (c) $79.80

How does knowing some constructions help you do other, more complicated constructions

Answers

Answer:

the first thing you learned is the base. then you can build off of it. just like math. you learn simple adding then you go onto multiplication and division.

IVE BEEN TRYING TO GET THE ANSWER FOR THIS WITH A PICTURE AND KEYBOARD PLEASE HELP (It’s a picture)

Answers

Answer:

Step-by-step explanation:

Two angles are supplementary. If one of them is 30 degrees, the other is...

150
150

30
30

15
15

60

Answers

Answer:

450

Step-by-step explanation:

I think the answer is 450

help!! will mark brainly
Instructions: Evaluate the following expression and enter the final simplified answer in the box provided.

36÷−4=

Answers

Answer:

the answer is 9 so yeah.....

Solve for y.
C=8(y + k)

Answers

Answer:

C/8    -k= y

Step-by-step explanation:

C=8(y + k)

Divide each side by 8

C/8 = y+k

Subtract k from each side

C/8  -k = y+k-k

C/8    -k= y

Answer: y  =  C /8 −  k

Step-by-step explanation:

How many degrees are in a twelfth of a full turn?

Answers

Answer:

30 degrees

Step-by-step explanation:

A full turn is 360 degrees. The question asks for a twelfth of a turn, so all you need to do is divide 360 by 12! 360/12=30...30 is your answer!

Hope this helps you out...have an amazing day c:

360/12 = 30 (360 is one full turn, duh)

Which one?
A. B. C. or D? ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

step-by-step explanation

Please need help fast. Look at the picture.

Please explain.

Answers

The answer is 17

This is because 1 + 2 must equal 180 as they are in a straight line.
So 4x + 2 + 110 = 180
Take away 110 from both sides
4x + 2 = 70
Take away 2 from both sides to get 4x = 68. Finally, divide both sides by 4 to get x = 17

19th October, 2020
the diagram below is a plane figure made up
of a rectangle of sizes 50m by 28 m and an
equilateral of height 24 cm. A circle is cut-out
of the rectangle as shown. If the circle
touches the three sides of the rectangle Calculate
a) the perimeter of the figure
the remaining portion of the figure.

Answers

Answer:

Step-by-step explanation:

Equilateral Triangle:

Side of triangle = breadth of rectangle

                         = 28 cm

height = 24 cm

Area of triangle = [tex]\frac{1}{2}base * height\\\\[/tex]

                          = [tex]\frac{1}{2}*28*24[/tex]

                          = 28* 12

                         =  336 square cm

Rectangle:

length = 50 m

breadth = 28 m

Area of rectangle = length * breadth

                              = 28 * 50

                              = 1400 square cm

Diameter of circle = breadth of rectangle

                        d  = 28 cm

                         r = 28/2 = 14 cm

Area of circle = πr²

                      [tex]= \frac{22}{7}*14*14\\\\= 22 * 2 * 14[/tex]

                     = 616 square cm

Area of the remaining portion =  Area of rectangle - area of circle + area of triangle

                                                    = 1400 - 616 + 336

                                                   = 1120 square cm

Perimeter of the figure = 28 + 50 + 28 + 28 + 50

                                       = 184 cm

Hint: Perimeter of the figure. three side of rectangle + two sides of triangle

Choose the equation of the horizontal line that passes through the point (2, 3). (1 point)
A.X= 2
B.x = 3
C.y=2
D.y = 3

Answers

Answer:

the answer is A, x=2

Step-by-step explanation:

The cost of the lunches for the field trip can be represented by the expression:

4(29) + 4(6).

Identify the values to make these expressions true.

Expand 29 to create an equivalent expression with friendly numbers.
4(
) + 4(6)
Distribute the 4.

Evaluate the multiplication
80 + 36 + 24 =

Answers

20 + 9 is the first answer

4(20)+4(9)+4( 6) is the second answer

80+36+24=140 is the third answer :)

Answer:

1: 20 + 9

2: 4(20) + 4(9) + 4(6)

3: 140

Step-by-step explanation:

look at the picture

What is the area of this tile?
10 in.
8 in.
6 in.

Answers

Answer:

I belive the area is 24...........

Step-by-step explanation:

i know it is 24  reason becuase if you add like this (10 + 8) + 6 you get 24 so means the area is 24 inches.

I think answer should be 24 please give me brainlest let me know if it’s correct or not okay bye

Evaluate the following expressions for m=-3 n=4 p=2

Answers

Answer:

-8

Step-by-step explanation:

Given:

m=-3 n=4 p=2

Missing Equation:

p2 + mn

Find:

Value of equation

Computation:

p2 + mn

⇒ (2)2 + (-3)(4)

⇒ 4 + (-12)

⇒ 4 - 12

-8

What is the equation of the line that passes through the points (4,-4) and has a slope of -3/4

Answers

Answer:

the desired equation is y = (-3/4)x - 1

Step-by-step explanation:

Start with the slope-intercept formula y = mx + b.

Substitute -4 for y, +4 for x and -3/4 for m:

-4 = (-3/4)(4) + b

Then -4 = -3 + b, so b must be -1

and the desired equation is y = (-3/4)x - 1

The concentrates were pooled from the blood of about 1000 donors per lot. If the prevalence of HIV in donor blood in the early 1980s was 1 in 3,000, what was the probability that a hemophiliac would contract HIV from a single infusion of clotting factors?

Answers

Answer:

The required probability is "0.0003".

Step-by-step explanation:

Throughout the early 1980s, reconstructed coagulation factors concentrate extracted from individual blood was collected by hemophiliacs. The concentrate was obtained from either the blood of approximately 1000 donors every lot. The occurrence of hepatitis C throughout donated blood reached 1 in 3000 throughout the early 1980s.

Therefore, the risk though from a single injection of clotting factors, a hemophiliac would contracted hepatitis C seems to be:

= [tex]\frac{1}{3000}[/tex]

= [tex]0.0003[/tex]

At the grocery store, Mr. and Mrs. Bailey bought 24 apples and 18 pears. Write a ratio in simplest form to compare apples and pears.

Answers

Answer:

4:3

Step-by-step explanation:

Legit just simplified it.The original ratio is 24:18. First found the greatest common multiple (GCF) and divided both by it. In this case it was 6. So 24/6 = 4 and 18/6 = 3. Now your newly simplified ratio of apples to pears is 4:3.

C= 0.41 + 0.26(m-1) solve for m

Answers

Answer:

m=(c-0.15)/0.26

Step-by-step explanation:

c=0.41+0.26m-0.26

0.26m=c-0.15

m=(c-0.15)/0.26

1/3 multiplied by -3/4

Answers

Answer:

-.25

Step-by-step explanation:

Answer:

-1/4

Step-by-step explanation:

The answer is -1/4 as 1/3x3/4 is 1/4, and as we have a negative number, the 1/4 flips to -1/4. Hope it helps!

An object travels 8 miles in 20 minutes at a constant speed. What is the
object’s speed in miles per hour?

Answers

Answer:

The answer is 0.4mph

Step-by-step explanation:

To find the speed of an object, you do distance ÷ time.

So you do 8 ÷ 20 which is 0.4.

So the object travels 0.4mph

what is 65 + 4 1 grade math class

Answers

Answer:

106

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

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