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Alex
3 years ago
6

Find three consecutive integers whose sum is -21. 2. find three consecutive odd integers whose sum is 144. 3. the sum of three c

onsecutive even integers is 48. what are the numbers?
Mathematics
1 answer:
fenix001 [56]3 years ago
7 0
Easy way
-21÷3=-7 which is the exact center so
-6, -7, -8

Equation
x + (x+1) + (x+2) = -21
3x + 3 = -21
3x=-24
x=-8
x+1=-7
x+2=-6

2. Consecutive Odd Integers
X, X+2, X+4

X + (X+2) + (X+4) = 144
3X+6=144
3X=144-6=138
X = 138/3 = 46 .....There are no 3 odd Integers that can equal an even integer

3. 3 consecutive even number x, x+2, x+4

X + (X+2) + (X+4) = 48
3X+6=48
3X=48-6=42
X=42/3=14
14, 16, 18
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Machine A and machine B both make car parts.
Lorico [155]

Answer:

A is 840 I think and B is 2400

Step-by-step explanation:

so if u x 10x12=120x7=840. that's for A.

so for B is 15x10=150x10=2400

I'm pretty sure this should be right I hope you get a really good grade on this

6 0
3 years ago
A pyramid has a square base with side 9f lengths s. the height of the pyramid is equal to 1/2 of the lenght of a side on the bas
poizon [28]

Answer:

The formula would be A = 1/3(9)(9)(4.5) for an answer of 121.5

Step-by-step explanation:

To find this, start with the volume of a pyramid formula and inpout the known values.

A = 1/3lwh

A = 1/3(9)(9)(4.5)

A = 121.5

4 0
4 years ago
What is prime number of 42​
OleMash [197]
There is no prime number
4 0
3 years ago
W varies jointly as x and p . If w=78 when x=2 and p=10, find x when w=858 and p=5.5
Lemur [1.5K]
W=kxp
where
k is the constant of proportionality given by:
k=w/xp
<span> If w=78 when x=2 and p=10 then
</span>k=78/(2*10)
k=3.9
thus the formula is:
w=3.9xp


b] <span>find x when w=858 and p=5.5
plugging the values in the formula we get:
858=3.9</span>×5.5×x
hence 
x=858/(3.9×5.5)
x=358/21.45
x=16.69
5 0
3 years ago
2.3.2: Michael Myers predicts that SAT scores predict college graduation rates in a linear fashion. U of M has an average SAT of
AleksAgata [21]

Answer:

y = \frac{5000r}{3} -50

Step-by-step explanation:

Represent the SAT score with y and the rate with r.

So, we have:

(r_1,y_1) = (90\%,1450)

(r_2,y_2) = (69.6\%,1110)

Required

Determine the equation in slope intercept form

First, we calculate the slope

m =\frac{y_2 - y_1}{r_2 - r_1}

This gives:

m =\frac{1110 - 1450}{69.6\% - 90\%}

m =\frac{-340}{-20.4\%}

Convert percentage to decimal

m =\frac{-340}{-0.204}

m =\frac{340}{0.204}

Multiply by 1000/1000

m =\frac{340*1000}{0.204*1000}

m =\frac{340000}{204}

m = \frac{5000}{3}

The equation is then calculated as:

y - y_1 = m(r - r_1)

This gives:

y - 1450 = \frac{5000}{3}(r - 90\%)

Open Bracket

y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*90\%

Convert percentage to decimal

y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*0.90

y - 1450 = \frac{5000r}{3} - 5000*0.30

y - 1450 = \frac{5000r}{3} - 1500

Make y the subject

y = \frac{5000r}{3} - 1500+1450

y = \frac{5000r}{3} -50

3 0
3 years ago
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