What is the measure of ABC

Answer:

11

Step-by-step explanation:

cross multiply - 2(2x-4) = 3(x=1)

4x - 8 = 3x + 3

4x - 3x = 3 + 8

x = 11

Answer:

x = 11

Step-by-step explanation:

2(2x-4) = 3(x+1)

4x-8=3x+3

4x-3x=3+8

x=11

Answer:

1e+12

Step-by-step explanation:

because 8 exponents of 10 would be    i cannot count and 4 exponents of 10 is 10,000.

Any Questions?

Answer:

b

Step-by-step explanation:

Answer:

$ 180

Step-by-step explanation:

Simple Interest= P×R×T/100 ( Principal,rate,time)

So,

3000×2×3/100 (cancelling 3000 by 30)

30×2×3=30×6=180 Answer

Answer:

The equation is P - 42 = 12

P = 54

Step-by-step explanation:

Answer:

[tex]x = \frac{1}{2} [/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

Multiply the bottom equation by -2.

[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]

Add the new equation to top equation.

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Know plug 3 in one of the equations to find x.

[tex]4x + 3(3) = 11[/tex]

[tex]4x = 2[/tex]

[tex]x = \frac{1}{2} [/tex]

Answer:

( [tex]\frac{1}{2}[/tex], 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 11 → (1)

2x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

6x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 5

10x = 5 ( divide both sides by 10 )

x = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y

Substituting into (1)

4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11

2 + 3y = 11 ( subtract 2 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( [tex]\frac{1}{2}[/tex], 3 )

Answer:

100.48

Step-by-step explanation:

Step 1: Find the diameter

16 × 2 = 32

Step 2: Multiply by pie (Usually just 3.14)

32 × 3.14 = 100.48

Answer:

Augusto was biased and only asked his friends

Step-by-step explanation:

Augusto should've asked 20 random people, since the people he hangs around the most probably have the same habits

This was not a fair collection of data

He did not use a random sample, and he tried to show cause and effect with an observational study

Answer:

a.) one sample t test

b.) H0 : μ = 59.3

c.) H1 : μ > 59.3

d.) μ = 59.3 ; σ = 39.84

e.) xbar = 79.4 ; s = 61.36

Test statistic = 3.16

Step-by-step explanation:

Given the sample data:

49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00

Sample size, n = 30

Using calculator :

xbar from the data above = 79.4

Standard deviation = 61.359

H0 : μ = 59.3

H1 : μ > 59.3

Test statistic :

(Xbar - μ) ÷ (σ/sqrt(n)

σ = 34.83

(79.4 - 59.3) ÷ (34.83/sqrt(30))

20.1 ÷ 6.359

Test statistic = 3.16

Answer:

y = ⁷/5x + 13/10

Step-by-step explanation:

Recall: equation in slope-intercept form is given as y = mx + b

Thus, let's rewrite 14x - 10y = -13 in this form.

14x - 10y = -13

Add -14x to both sides

-10y = -14x - 13

Divide both sides by -10

-10y/-10 = -14x/-10 - 13/-10

y = ⁷/5x + 13/10

Answer:

1:12

Step-by-step explanation:

I hope this helps!

Answer:

Sum of given fraction = 13 / 15

Step-by-step explanation:

Given fraction:

2/3 + 1/5

Find:

Sum of given fraction

Computation:

⇒ 2/3 + 1/5

Step 1 :

By taking LCM of Denominator 3 and 5

⇒ LCM of 3 and 5 is 15

So,

2 multiply by 5 and 1 multiply by 3 and add after multiply

Sum of given fraction ⇒ [(2 x 5) + (1 x 3)] / 15

Sum of given fraction ⇒ [10 + 3] / 15

Sum of given fraction = 13 / 15

Answer:

68°

Step-by-step explanation:

Okay, so m<8 is on the same plane as m<7 because line q is intersecting line t  and that's supposed to add up to 180° so:

180° - 112° = 68°

So, m<7 = 68°

hope this helps:)

Answer:

a_n = 50 - 5n, for n = 1,2, 3, ...

Step-by-step explanation:

a_1 = 50

a_2 = 50 - 5 = 45

a_3 = 50 - 2 * 5 = 40

a_n = 50 - (n - 1) * 5

a_n = 50 - 5n + 5

a_n = 50 - 5n

Answer:

an = -5n + 55.

Step-by-step explanation:

This is arithmetic with common difference -5.

an = a1 + d(n-1)

an = 50  - 5(n - 1)

an = 50 - 5n + 5

an = -5n + 55.

Answer:

c

Step-by-step explanation:

Answer:

$3717.12

Step-by-step explanation:

The depreciation per year is 100% - 12% = 88% = 0.88

value after 2 years = $4800 ( 0.88)² = $3717.12

Step-by-step explanation:

3717.21$ is the system worth after 2 years

Answer:

x = 6

Step-by-step explanation:

Each side of the triangle = x cm

Each side of the square = (x - 1.5) cm

Given that the perimeter of both shapes are equal, thus, set the perimeter of the triangle equal to the perimeter of the square to solve for x.

Perimeter of triangle = 3(x) = 3x cm

Perimeter of square = 4(x - 1.5) = 4x - 6

Therefore:

Perimeter of triangle = perimeter of square

Substitute

3x = 4x - 6

Subtract 4x from each side

3x - 4x = -6

-x = -6

Divide both sides by -1

x = -6/-1

x = 6

Answer:

Sampling variation

Step-by-step explanation: took the quiz

The option that the margin of error accounts for in the given interval is sampling variation.

This refers to the fact that in a sample, there will be a difference between the variables seen.

This variation is the reason why there is a margin of error in intervals because we need to introduce a range that the relevant variable will fall into.

Find out more sampling variation at https://brainly.com/question/14514626.

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Answer:

huh i dont get it

Step-by-step explanation:

1)+4

2)-4

3) 2

4) i don't know

5)

Answer: (-2)²=4

-2²=-4

square root of 4 is 2

1 over the square root of 8 is -2

1 aquare root of -8 is 2,-2

Step-by-step explanation:plug them into calculator

Answer: He threw it 48 yards

Step-by-step explanation:

Answer:

[tex]x^{2} -11x-28[/tex]

Step-by-step explanation:

We start of with this.

[tex]x(x-3)-4(2x+7)[/tex]

First, use the distributive property, and distribute the x to the (x-3) to get: [tex]x^{2} -3x-4(2x+7)[/tex]

Next, distribute the -4 to the (2x+7) to then get:

[tex]x^{2} -3x-8x-28[/tex]

Then, combine like terms. In this case, combine -3x and -8x since they are alike and get:

[tex]x^{2} -11x-28[/tex]

The answer is already in standard form, so we're done. To write a polynomial in standard form, write the monomial with the variable, with the largest exponent first. In this case, [tex]x^{2}[/tex] goes before [tex]-11x[/tex] because of the exponent of 2. Monomials without a variable go last, so that's why -28 is last.

Answer:

Huh? what do you mean?

Step-by-step explanation:

Answer:

30 hot dogs fewer.

Answer:

4.376%

Step-by-step explanation:

$21.88/$500 x 100= 4.376%

Answer:

b

Step-by-step explanation:

i dont know

its a guess

The height of the larger cone is 35/4.

Similar figures are those figures which are having the same shape, but the sizes are different.

The dimensions of the similar figures will be proportional.

So the heights and the radius of the smaller and the larger cone are proportional.

Using the concept,

x / 5 = 7 / 4

Cross multiplying,

4x = 35

x = 35/4

Hence the height of the larger cone is 35/4.

Learn more about Similar figures here :

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