Solve for the variable.

a. 1/4 a = -2 a =

b. 16 - b = -3.5 b =

c. -10 = -0.2c c =

Answer:

x = 20

Step-by-step explanation:

Each side would be 60. 60/3 would be 20. So x = 20

Answer:

x = 20

Step-by-step explanation:

Looking at the image you've posted here. We can see this triangle is equilateral. That also means 3x is 60°, as are the other two angles. All you really have to do is dividing both sides of the equation by 3 to get x to equal 20.

Answer:

-14(2x+1)

Step-by-step explanation:

Factor out the GCF, which is 14.

Answer:

-14(2x+1)

Step-by-step explanation:

this is a question on my math test and i got it write

Answer:

n-5

Step-by-step explanation:

Answer:

183.41

Step-by-step explanation:

pay 251.57

16% 40.25

3.64 9.16

6.2 15.60

1.45 3.65

I hope this is right

Answer:

Step-by-step explanation:

Given that:

the sample proportion p = 0.39

sample size = 100

Then np = 39

Using normal approximation

The sampling distribution from the sample proportion is approximately normal.

Thus, mean [tex]\mu _{\hat p} = p = 0.39[/tex]

The standard deviation;

[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n} }[/tex]

[tex]\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }[/tex]

[tex]\sigma = 0.048[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]

[tex]Z = \dfrac{0.3 - 0.39 }{0.0488}[/tex]

[tex]Z = -1. 8 4[/tex]

From the z - tables;

[tex]P (\hat p \le 0.3 ) = P(z \le -1.84)[/tex]

[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0329}[/tex]

(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean [tex]\mu_{\hat p} = p = 0.39[/tex]

the standard deviation [tex]\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }[/tex]

[tex]\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }[/tex]

[tex]\sigma_{\hat p} =0.0244[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]

[tex]Z = \dfrac{0.3 - 0.39 }{0.0244}[/tex]

[tex]Z = -3.69[/tex]

From the z - tables;

[tex]P (\hat p \le 0.3 ) = P(z \le -3.69)[/tex]

[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0001}[/tex]

(c) The effect of the sample size on the sampling distribution is that:

As sample size builds up, the standard deviation of the sampling distribution decreases.

In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion  that is less than 30% also decreases.

Answer:

4-3-2

-1

Step-by-step explanation:

Answer:

She had 14 prescriptions for tranquilizers.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of prescriptions she had for antibiotics.

y is the number of prescriptions she had for tranquilizers.

A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers.

This means that:

[tex]\frac{x}{y} = \frac{3}{2}[/tex]

[tex]x = \frac{3y}{2}[/tex]

She had 35 prescriptions altogether.

This means that:

[tex]x + y = 35[/tex]

How many did she have for tranquilizers?

We want to find y. Since [tex]x = \frac{3y}{2}[/tex], we solve the following equation.

[tex]x + y = 35[/tex]

[tex]\frac{3y}{2} + y = 35[/tex]

Multiplying everything by 2

[tex]3y + 2y = 70[/tex]

[tex]5y = 70[/tex]

[tex]y = \frac{70}{5}[/tex]

[tex]y = 14[/tex]

She had 14 prescriptions for tranquilizers.

Answer:

First, we start with:

"Ram obtains 40% of the marks in a paper of 200 marks"

In this case, 200 marks represent the 100%

Then how much is the 40%?

we have the relations:

40% = X

100% = 200 marks

Now we can take the quotient of both equations:

(40%/100%) = X/200marks

(40%/100%)*200marks = X = 80 marks

So Ram obtained 80 marks.

Now we have:

"Shyam is ahead of Ram by 25% of Ram's marks"

Now the 100% is the number of marks that Ram has, this is:

100% = 80 marks

And Shyam has 25% more than that, then we have:

125% = X

Same as before, we take the quotient of both equations:

(125%/100%) = X/80 marks

1.25*80 marks = 100 marks.

Shyam has 100 marks.

The last part is (this is not written correctly, it says "one month", it should be "one-ninth")

"while Bhuvan is ahead of Shyam by one-ninth of his own marks."

if his own marks are X, we have the equation

X = 100 + (1/9)*X

X - 1/9*X = 100

X*(8/9) = 100

X = (9/8)*100 = 112.5

So Bhuvan has 112.5 marks

Answer:

top left choice

Step-by-step explanation:

the slope is negative, so its flipped

the y int is -6, below the x axis

Answer:

Graph A (the top left)

Step-by-step explanation:

The correct graph has to have a negative slope. So this narrows the options down to either A (top left) or B (top right). The y-intercept has to be negative, and out of A and B, only Graph A meets this requirement.

Hope it helps!

Answer:

Let x be the number of 3-point questions.

Let y be the number of 5 point questions.

Answer:

56

Step-by-step explanation:

28x2=56

multiply 56x2=112

Add 112+124=236

Add 236+124=360

Answer:

P4200

Step-by-step explanation:

SI=PRT/100

P=Principal which is P10500

R=Rate which is 20%

T=Time which is 2 years

So SI= 10500×20×2/100

=P4200

Answer:

B.

Step-by-step explanation:

Answer:

use photo math lol

Step-by-step explanation:

Answer:

1. 0.5%

2. 3%

3. 20%

4. 250%

5. 500%

hope this helps have a blessed day :)

Answer:

their was no growth rate it lost 53,500 in those 15 years at a rate of about 3,566 a year

Step-by-step explanation:

The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

The cost in 2000 is $185500

Cost in 2015 is $132000

Change or increase = (185500  - 132000)

% increase = change/original

% increase = (185500  - 132000)/185500 = 28.84%

Hence "The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

Answer:

the area would be 935cm

Step-by-step explanation:

ty for reading :P

603.2246 square centimeters.

Answer:

C

Step-by-step explanation:

so the first one ends at 4.7107

the second- 3.3568

the third- 5.1401

and multiplying the first by 5000 we get- 23,553.5

for the second we get -6,713.6

for the third we get 41,120

adding them all together we get 71,387.1

and so C is the closest

The  value of the index at the end of the day should be considered as the $70,400.

Since

Stock X opens the day with 5000 shares at $4.30 per share.

Stock Y opens the day with 2000 shares at $3.20 per share.

Stock Z opens the day with 8000 shares at $4.90 per share.

This simple index rises 4.9% over the course of the day.  

So ,

[tex]= (5,000 \times \$3.4) + (2,000 \times \$3.20) + (8,000 \times $4.90) * 1.0.49[/tex]

= $70,400

hence, The  value of the index at the end of the day should be considered as the $70,400.

Learn more about stock here: https://brainly.com/question/24636535

Hi there!

[tex]\large\boxed{\frac{\pi}{3} \text{ and } \frac{2\pi}{3}}[/tex]

From the unit circle, we can locate the two values of sine Ф (y-value of the coordinate)  at which sin Ф = √3/2.

The two values are Ф = π/3 and 2π/3.

Answer:

[tex]3\frac{1}{3} = \frac{10}{3} = 3.333333333[/tex]

Step-by-step explanation:

Hope this helps.

Answer:

(3,12)

Step-by-step explanation:

y = 3x + 3

y = 6x -6

x = 3

y = 12

= (3,12)

Answer:

All you have to do, is find an x that if used in both equations, both equal the same y.

3 x 3 + 3 = 12

6 x 3 - 6 = 12

So, the only thing here is (3, 12)

Step-by-step explanation:

Answer:

38.71°C

Step-by-step explanation:

Given :

Initial temp, T0 = 20°C

Final temperature, T = 20 + 10 = 30°C

Time, t = 9 seconds

Surrounding temperature, Ts = 100°C

Newton's Law of cooling :

T = Ts + (T0 - Ts) * e^-kt

Obtain the value of k

30 = 100 + (20 - 100) * e^-9k

30 - 100 = - 80e^-9k

-70 = - 80e^-9k

-70 / - 80 = e^-9k

0.875 = e^-9k

Take the In of both sides

In(0.875) = - 9k

−0.133531 = - 9k

k = 0.133531 / 9

k = 0.0148

Hence,

t = 18

T = Ts + (T0 - Ts) * e^-kt

T = 100 + (20 - 100) * e^-0.0148(18)

T = 100 - 80 * e^-0.0148(18)

T = 100 - 80 * 0.7661326

T = 38.709392

T = 38.71°C

Answer:

Step-by-step explanation:

Answer:

w=64

Step-by-step explanation:

you just have to multiply 4 on both sides to cancel the 1/4, and 16x4=64

Answer:

Step-by-step explanation:

We will undo the operations that obscure the value of W to find its value.

1/4W = 16

Since we divided W by 4 (1/4W is the same a W/4), we will multiply both sides by 4.

16 x 4 = 64.

The value of W is 64.

Answer:

11 1\3

Step-by-step explanation:

32÷3=11.33333333333333333333

Answer:

first box is 60

second box is 103

third box is 50

last box is 103

Step-by-step explanation:

Answer:

First i always use khan academy

Step-by-step explanation:

Answer:

(-5, 0)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

4x - 3y = -20

-x - 8y = 5

Step 2: Rewrite Systems

-x - 8y = 5

Step 3: Redefine Systems

4x - 3y = -20

x = -8y - 5

Step 4: Solve for y

Substitution

Step 5: Solve for x

Answer:

x = -5

y = 0

Step-by-step explanation:

4x-3y=-20

-x-8y=5  then x = 8y-5

substitute for x

4(8y-5)-3y = -20

32y-20-3y = -20

29y = 0

y = 0

4x-0 = -20

x = -5

Answer:

[tex]V=1398.4\ cm^3[/tex]

Step-by-step explanation:

Given that,

Pardeep has a rectangular sheet of paper of size 44cm x 20cm. He rolled it  along its breadth and a cylinder is formed.

When he rolled it  along its breadth, 20 is equal to circumference i.e.

20 = 2πr

r is radius of base of cylinder

r = 3.18 cm

44 cm will be height of the cylinder.

The volume of the cylinder is given by :

[tex]V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (3.18)^2 \times 44\\\\V=1398.4\ cm^3[/tex]

So, the volume of the cylinder is [tex]1398.4\ cm^3[/tex].

Answer:

In an equilateral triangle, all the sides and angles are of equal length. In an isosceles triangle, 2 of the sides are equal

Step-by-step explanation: