Solve the equation in the image

Answer:

17 is added to both numerator and denominator.

Step-by-step explanation:

Given:

Fraction = 1/10

New fraction = 2/3

Find:

Number added to both numerator and denominator.

Computation:

Assume,

a is added to both numerator and denominator.

[tex]\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17[/tex]

Therefore, 17 is added to both numerator and denominator.

Answer:

1. B (40)

2. A (3 times a number)

3. 2x+1

Step-by-step explanation:

1. (3(5) +5) x 2

(15+5) x 2

20 x 2

40

Answer:

1. B. 40

2. A. 3 times the number

3. 2x + 1

Step-by-step explanation:

1.

2(3n + 5)

2(3(5) + 5)

2(15 + 5)

2(20)

40

2.

3(x)

- not adding or dividing or subtraction, and its not to the power of anything

3.

Rule is 2x + 1

2(1) + 1 = 3

2(2) + 1 = 5

2(3) + 1 = 7

2(4) + 1 = 9

Answer:

the correct answer is 2/200

Step-by-step explanation:

The probability that a randomly chosen person from the survey is female and at least 6 feet tall is 2/200

The probability of an event is a number that indicates how likely the event is to occur.

It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.

The more likely it is that the event will occur, the higher its probability.

Given that, the result of a survey of 200 adults are shown in the table,

We need to find the probability that a randomly chosen person from the survey is female and at least 6 feet tall,

P(E) = favorable outcomes / total outcomes

= 2 / 200

Hence, the probability that a randomly chosen person from the survey is female and at least 6 feet tall is 2/200

Learn more about probability click;

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Answer:

y=1.09x+0.4

Step-by-step explanation:

Let's assume that the price of beef stays the same for every pound of beef (the first pound is also $1.09)

Then, the equation would be, it y was the cost, and x was pounds:

y=1.09x

But, the price of beef is not the same for the first pound.

The first pound costs an extra 1.49-1.09=0.4 dollars a pound, so we will add that to the equation.

y=1.09x+0.4

Answer:

x=3

Step-by-step explanation:

4x = 2x + 6

-2x  -2x + 6

2x = 6

x = 3

Answer: 56° and 34°

Step-by-step explanation: Well we know this is a complementary angle and if two angles are complementary, then the sum of their measures is 90 degrees.

If these two angles have to add together to be 90 degrees, we can use that fact to set up our equation. We can say that 4x + (2x + 6) = 90.

Simplifying from here, we have 6x + 6 = 90.

Subtracting 6 from both sides, we have 6x = 84.

Dividing both sides by 6, we find that x = 14.

Now, remember that these should add up to 90 degrees.

We can check by substituting the value that we just found back in for x to check our angles. If they add to 90 degrees, we did it correctly.

So for the first one we have 4(14) which is 56 and for the next one we have 2(14) + 6 or 28 + 6 which simplifies to 34.

Now adding, 56 + 34 gives us 90.

So, we know that these are the correct measures.

Answer:

6. -285°, 435°

7. -360°, 360°

Step-by-step explanation:

6. θ = 75°

75-360 = -285°

75+360 = 435°

7. θ = 720°

720 - 1080 = -360°

720 - 360 = 360°

Answer:

answer is positive

Step-by-step explanation:

Answer and Step-by-step explanation:

The length is 10 and the width is 8

Answer: Needs more of an answer to explain

Step-by-step explanation:

Answer:

Chunkysdead Is the leader of this organization.

Step-by-step explanation:

Look at the attached picture

Hope it will be helpful to you.

Answer:

50 ft2

Step-by-step explanation:

im not sure if this is right but this is what i got when i worked it out

Answer: [tex]150ft^2[/tex]

Step-by-step explanation:

length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]

width: [tex]5 in[/tex]

[tex]Formula: A=w*l[/tex]

[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]

Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.

[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]

[tex]\frac{1}{4}in^2 : 1ft^2[/tex]

Convert.

[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]

Invert the fraction in the denominator and multiply it by the numerator.

[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]

Answer:

x= -2+119/2+6

Step-by-step explanation:

Answer:

The answer is 9.72 .

Step-by-step explanation:

You can do it by elaborating :

2.43×4 = (2.00×4) + (0.4×4) + (0.03×4)

= 8.00 + 1.6 + 0.12

= 9.72

Answer:

275%

Step-by-step explanation:

Answer:

  10.6% decrease

Step-by-step explanation:

The percentage change in a quantity is computed using ...

  percentage change = ((new value)/(old value) -1) × 100%

  = (2.10/2.35 -1) × 100%

  = (0.8936 -1) × 100%

  = -.1064 × 100%

  = -10.64%

The percentage decrease was about 10.6%.

Answer:

She sold $1,711 in make-up.

Step-by-step explanation:

She sold x.

For the first $500, she gets 18% = 0.18.

For the balance(x - 500), she gets 22% = 0.22.

So her total earnings can be modeled by the following equation:

[tex]E = 0.18*500 + 0.22*(x - 500)[/tex]

[tex]E = 90 + 0.22*(x - 500)[/tex]

She made $356.42 in commission. How much did she sell in make-up?

So

[tex]356.42 = 90 + 0.22*(x - 500)[/tex]

[tex]90 + 0.22x - 110 = 356.42[/tex]

[tex]0.22x = 356.42 + 20[/tex]

[tex]x = \frac{376.42}{0.22}[/tex]

[tex]x = 1711[/tex]

She sold $1,711 in make-up.

Answer:

just google it dude

Step-by-step explanation:

google :)

Answer:

the answer you are looking for is b=7

Answer:

a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:

b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence

Step-by-step explanation:

Answer:

$105,857.60

Step-by-step explanation:

i = prt

i = ($66,161)(.15)(4)

i = $39,696.60

$39,696.60 + $66,161

$105,857.60

Answer:

$105857.6

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 66161 × 15/100 × 4

I = $39696.6

He have = 39696.6 + 66161 = $105857.6

Answer: -3

Step-by-step explanation:

Answer:

x=2

y=3

Solution:

First we find common denominators. It is "xy". Then we multiply numerators by common denominator. We get followings:

(4y-3x)/xy=1; (6y+15x)/xy=8

Then

4y-3x=xy;

6y+15=8xy

Multiply first equasion by 5

20y-15x=5xy

Now we add two equasions to get one

20y-15x=5xy

6y+15x=8xy

We get

26y=13xy

Cut "y" and we will find "x"

26=13x

x=2

Put x value into the first equasion(4y-3x=xy) to find out "y"

4y-6=2y

2y=6

y=3

Answer:no the answer is 0.045 m3

0, point, 045, start text, space, m, end text, cubed

Step-by-step explanation:

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours

24 inches equals 2 feet

Answer:

2 ft

Step-by-step explanation:

1ft = 12 inches

24/12 = 2