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Dovator [93]
3 years ago
7

What number does x stand for in this equation?

Mathematics
2 answers:
shtirl [24]3 years ago
6 0

Answer:

C. -3

Step-by-step explanation:

Subtract 6 from 27 and then divide 21 (27-6) by -7 to get -3

Svetllana [295]3 years ago
4 0
-7x + 6 = 27

Subtract 6.

-7x = 21

Divide -7 by both sides.

x = -3
C
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The following sum is a partial sum of an arithmetic sequence; use either formula for finding partial sums of arithmetic sequence
ASHA 777 [7]

Answer:

16008

Step-by-step explanation:

Sum of an arithmetic sequence is:

S = (n/2) (2a₁ + (n−1) d)

or

S = (n/2) (a₁ + a)

To use either equation, we need to find the number of terms n.  We know the common difference d is 1 − (-9) = 10.  Using the definition of the nth term of an arithmetic sequence:

a = a₁ + (n−1) d

561 = -9 + (n−1) (10)

570 = 10n − 10

580 = 10n

n = 58

Using the first equation to find the sum:

S = (n/2) (2a₁ + (n−1) d)

S = (58/2) (2(-9) + (58−1) 10)

S = 29 (-18 + 570)

S = 16008

Using the second equation to find the sum:

S = (n/2) (a₁ + a)

S = (58/2) (-9 + 561)

S = 16008

4 0
3 years ago
Read 2 more answers
A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 120 feet per secon
Makovka662 [10]

Answer:

The maximum height is reached after 3.75 seconds.

Step-by-step explanation:

Assuming the deceleration due to gravity is unaided by air resistance, gravity causes the ball to lose vertical speed at the rate of 32 ft/s every second. The initial vertical speed of 120 ft/s will decline to zero when t satisfies ...

... 120 ft/s - (32 ft/s²)t = 0

... (120 ft/s)/(32 ft/s²) = t = 3.75 s

The ball will not go any higher after its vertical speed is zero.

6 0
3 years ago
the vertices of triangle PQR are P(-3, 8), Q(-6, -4), and R(1, 1). If you reflect triangle PQR across the x-axis, what will be t
otez555 [7]

Answer:

The coordinates of the vertices of the image will be:

P'=(-3,-8)

Q'=(-6,4)

R'=(1,-1)

Step-by-step explanation:

If you reflect a point P=(x,y) across the x-axis, the coordinates of the image will be P'=(x,-y), then:

P=(-3,8)=(xp,yp)→xp=-3, yp=8→P'=(xp,-yp)→P'=(-3,-8)

Q=(-6,-4)=(xq,yq)→xq=-6, yq=-4→Q'=(xq,-yq)=(-6,-(-4))→Q'=(-6,4)

R=(1,1)=(xr,yr)→xr=1, yr=1→R'=(xr,-yr)→R'=(1,-1)

3 0
4 years ago
A local water park has two types of season passes. Plan A costs a one-time fee of $125 for admission plus $8 for parking every t
Margarita [4]

Answer:

40+8X=50+23X

8X-23X=50-140

-15X=-90

X=-90/-15

X=7 TRIPS IS THE ANSWER.

PROOF:

140+8*6=50+23*6

140+48=50+138

188=188

4 0
3 years ago
A model of a house uses a scale of 1 inch : 5 feet. The height of the model is 5 5/8
Lisa [10]

Answer:

scale = 1 in: 5 ft

         = <u>1inch x 5 5/8</u>  =<u> 5.625</u>

              5 ft x 5 5/8    28.125 ft

The actual height of the house is 28.125 ft

5 0
3 years ago
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