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Vlada [557]
3 years ago
14

Find four consecutive integers such that the sum of the second and fourth is 132

Mathematics
1 answer:
Ulleksa [173]3 years ago
7 0

Remark

As long as the representation shows the numbers come one after another, you can get x to be anything.

Givens

x Can be the second number

x - 1 Can be the first number

x + 1 Can be the third number

x + 2 Can be the fourth number

Equation

x + x + 2= 132

Solution

2x + 2 = 132

2x = 130

x = 65

So the 4 numbers are 64 65 66 67

Check

The second and fourth numbers added together = 65 + 67 = 132

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eight wooden spheres with radii 3 in. are packed snugly into a square box 12 in. on one side. the remaining space is filled with
ZanzabumX [31]
Vbox-vspheres

vbox=, I assume we are dealing with l=w=h
so
v=lwh=12^3=1728

vsphere=(4/3)pir^3
r=3
vsphere=(4/3)pi3^3=4pi9=36pi
8 of them so
8 times 36pi=288pi or about 904.7786842338604526772412943845 cubic inches



vbox-sphere=1728-904.7786842338604526772412943845=823.2213157661395473227587056155
space filled by packing beads is about 823.22 cubic inches
beads percent is 823.2213157661395473227587056155/1728 times 100=47.64% filled by beads






3 0
3 years ago
swati won a Computer game that she played with matt. The sum of the scores was 754. The difference of there scores was 176. How
klio [65]

<u>Answer:</u>

Swati - 465 , Matt - 289

<u>Explanation:</u>

Let Swati's score be x and Matt's score be y.

Since Swati won the game her score is obviously higher.

We are given the sum and difference between their scores which we can write as , x + y = 754 and x - y = 176.

Solving these two equations by adding them we get 2x = 930 so x = 465. Substituting x in x - y = 176 we get y = 289

Thus Swati scored 465 points and Matt scored 289 points.

5 0
3 years ago
Consider the equation 360=__+84. Use the bar diagram to represent the equation. Then solve for the unknown value.
Andreyy89

Answer:

the answeris 276. 276+84=360.

Step-by-step explanation:

you would subtract 84 from 360 and then you have your answer!!

5 0
3 years ago
HELP Question below in the photo linked
lora16 [44]

Answer:

D. x = 10, m<TRS = 60°

Step-by-step explanation:

m<QRS = 122° (given)

m<QRT = (7x - 8)° (given)

m<TRS = (6x)° (given)

m<QRT + m<TRS = m<QRS (angle addition postulate)

(7x - 8)° + (6x)° = 122° (substitution)

Solve for x

7x - 8 + 6x = 122

Add like terms

13x - 8 = 122

13x = 122 + 8

13x = 130

x = 130/13

x = 10

✔️m<TRS = (6x)°

Plug in the value of x

m<TRS = (6*10)° = 60°

6 0
3 years ago
the store where henry's family. shops sold 10 3 times as many pounds of corn as henry's family bought. the weight of the corn is
saveliy_v [14]
Times it by 3 and see what u get try see if it work
7 0
3 years ago
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