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Scilla [17]
3 years ago
10

90=3(x+8)+2x-4 what is x

Mathematics
2 answers:
nirvana33 [79]3 years ago
8 0

Answer.

x = 14.

Step-by-step explanation:

3(x+8) + 2x - 4 = 90

3x + 24 + 2x - 4 = 90

5x + 20 = 90

5x = 70

x  = 70/5

x = 14.

Lilit [14]3 years ago
6 0

Answer:

x = 14

Step-by-step explanation:

Solve for x:

90 = -4 + 2 x + 3 (x + 8)

3 (x + 8) = 3 x + 24:

90 = 3 x + 24 + 2 x - 4

Grouping like terms, 3 x + 2 x - 4 + 24 = (2 x + 3 x) + (-4 + 24):

90 = (2 x + 3 x) + (-4 + 24)

2 x + 3 x = 5 x:

90 = 5 x + (-4 + 24)

24 - 4 = 20:

90 = 5 x + 20

90 = 5 x + 20 is equivalent to 5 x + 20 = 90:

5 x + 20 = 90

Subtract 20 from both sides:

5 x + (20 - 20) = 90 - 20

20 - 20 = 0:

5 x = 90 - 20

90 - 20 = 70:

5 x = 70

Divide both sides of 5 x = 70 by 5:

(5 x)/5 = 70/5

5/5 = 1:

x = 70/5

The gcd of 70 and 5 is 5, so 70/5 = (5×14)/(5×1) = 5/5×14 = 14:

Answer:  x = 14

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ozzi

Answer:

Long wings: 0

Short wings: 100

Step-by-step explanation:

Genotype of the flies: ww

The cross will yield the genotype ww and the flies will express the recessive phenotype which is short wings.

The probability for long wings will be 0 as there is no dominant allele present. The probability for short wings will be 100 as all the flies will have short wings.

Hope that helps.

3 0
3 years ago
Write an equation for the parent function y = x^ 2 stretched by a factor of 6 and shifted down 4 units?
Sunny_sXe [5.5K]

Answer:

 

Translations

y = f (x) + k up k units

y = f (x) - k down k units

y = f (x + h) left h units

y = f (x - h) right h units

Stretches/Shrinks

y = m·f (x) stretch vertically by a factor of m

y = ·f (x) shrink vertically by a factor of m (stretch by  

y = f (x) stretch horizonally by a factor of n

y = f (nx) shrink horizontally by a factor of n (stretch by )

Reflections

y = - f (x) reflect over x-axis (over line y = 0)

y = f (- x) reflect over y-axis (over line x = 0)

x = f (y) reflect over line y = x

Hope this helps

Step-by-step explanation:

5 0
3 years ago
A rug is shaped like a rectangle whose perimeter is 276276 ftft. the length is 5 times as long as5 times as long as the width. f
ArbitrLikvidat [17]
Width = w

Length = 5w

Given,

Perimeter = 276 ft

5w * w = 276

w² = 55.2

--- w = 7.429670248402684 ≈ 7.43 ft

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4 0
3 years ago
Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

W =202.50Nm

7 0
3 years ago
(Branliest!) Edith uses the greatest common factor and the distributive property to rewrite this sum: 32 + 24 Which expression d
kotykmax [81]

Answer:

A. 2(16+12)

Step-by-step explanation:

1. 2x16=32

2. 2x12=24

3. 32+24=56

4 0
3 years ago
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