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3 years ago

7. Solve the equation. x + 3 = 3x - 7 A-10 B - 12 05 OD-2

Mathematics

2 answers:

VladimirAG [237]3 years ago

7 0

Answer:

C. x = 5

Step-by-step explanation:

x + 3 = 3x - 7

Add -3x and -3 on both sides.

x - 3x = -7 -3

Add or subtract like terms.

-2x = -10

Multiply -1 on both sides.

2x = 10

Divide 2 into both sides.

2x/2 = 10/2

x = 5

damaskus [11]3 years ago

5 0

The correct answer is C : 5

Step by step:

1. Subtract -3 on both sides and get x = 3x -10

2. Subtract 3x on both sides and get -2x= -10

3. Divide -2 on both sides and get x=5 as your answer!!

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A student is solving the equation 4^x–1 = 64^x+3.

Doss [256]

The answer is x - 1 = 3x + 9

All steps are:
Step 1: 4ˣ⁻¹ = 64ˣ⁺³
Step 2: 4ˣ⁻¹ = (4³)ˣ⁺³ 
Step 3: 4ˣ⁻¹ = 4³ˣ⁺⁹
Step 4: x - 1 = 3x + 9
Step 5: x - 3x = 1 + 9
Step 6: -2x = 10
Step 7: x = 10/-2
Step 8: x = -5

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4 years ago

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The total surface area of a cone whose radius is 2 r and slant height 2l is

vampirchik [111]

Answer:

$A=4\pi r(l+r)$

Step-by-step explanation:

The total surface area of a cone is given by :

$A=\pi rl+\pi r^2\\\\=\pi r(l+r)$

Put r = 2r and l = 2l in the above formula

$A=\pi \times 2r(2l+2r)\\\\A=2\pi r(2l+2r)\\\\=2\pi r \times 2(l+r)\\\\=4\pi r(l+r)$

Hence, the total surface area of the cone is $4\pi r(l+r)$ .

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3 years ago

In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of

vovikov84 [41]

Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X Southwest , Y X^2 Y^2 XY

45.96 38.76 2112.3216 1502.3376 1781.4096

46.8 45.41 2190.24 2062.0681 2125.188

47.93 15.7 2297.2849 246.49 752.501

51.78 49.58 2681.1684 2458.1764 2567.2524

52.17 44.34 2721.7089 1966.0356 2313.2178

47.36 18 2242.9696 324 852.48

Total 292 211.79 14245.6934 8559.1077 10392.0488

Sample size: n =6

Now

$S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27$

$S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03$

$S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94$

The coefficient of correlation is :

$r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436$

7 0

3 years ago

Prime factorisation of 500

Andrews [41]

$\boxed{\underline{\bf \: ANSWER}}$

2 | 500

2 | 250

5 | 125

5 | 25

5 | 5

1 | 1

Prime factorisation of 500 = 2 × 2 × 5 × 5 × 5 × 1

_____

Hope it helps.

ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222

6 0

3 years ago

Cassie spends 2/3 of her money on supplies. Cassie spends her remaining money on 3 sandwiches. Each sandwich costs $5.25. How mu

Irina18 [472]

In words:
Three sandwiches, each costing $5.25, equals 1/3 of Cassie's total money

We can write the formula:

(5.25*3)=1/3x

Now solve:

15.75=1/3x
3(15.75)=x
x=$47.25
Hope this helps!!

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3 years ago

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