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Answer:

4b-5=71

19 books

Step-by-step explanation:

b represents books, and 4 is the cost, so the cost (4•19) minus the discount (-5) equals 71 and solves the equation

Answer:

35 figurines

Step-by-step explanation:

if the ratio of cards to figurines is 5:7 and there are 25 cards, we multiply the ratio by 5 to make the 5 into a 25 and so can find out how mant figurines there are.

5*5:7*5= 25:35

so there are 35 figurines

An equation that represents the relationships between the time x and the distance y is y = 40x.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

An eagle flies 40 miles per hour.

An equation that represents the relationships between the time x and the distance y:

Here, x and y are the variables.

So, the equation,

y = 40x.

Therefore, y = 40x is the required equation.

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Answer:

u have to drop 18 pionts .

Step-by-step explanation:

Answer:

u have to drop 18 pionts .

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

a2+b2=c2

3^2+4^2=c^2

9+16=25

25^2=625

Sqrt of 625 = 25

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 4² + 3² = 16 + 9 = 25 ( take the square root of both sides )

x = [tex]\sqrt{25}[/tex] = 5

Answer:

2.21073919x10^23

Step-by-step explanation:

Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.

Answer:

6³⁰

__________________________________________________________

We are given the expression:

[tex]\frac{(6^{-4})^{-9}}{6^{6}}[/tex]

Simplifying the expression

We can multiply the 2 exponents on the numerator to get:

[tex]\frac{6^{36}}{6^{6}}[/tex]

We can switch the sign of the exponent on the denominator to get it's reciprocal

[tex]{6^{36}}*6^{-6}[/tex]

Since the bases are the same, adding the powers

[tex]{6^{36-6}}[/tex]

[tex]{6^{30}}[/tex]

Hence, the given expression can be simplified to 6³⁰

Answer:

[tex]\boxed{\boxed {\sf 3. \ 9.4}}[/tex]

Step-by-step explanation:

First, recall the three basic right triangle trigonometry ratios.

Theta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.

We are also given 2 sides: 10 and x.

Since we have the opposite and hypotenuse, we must use sine.

[tex]sin (\Theta)= \frac{opposite}{hypotenuse}}[/tex]

The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.

[tex]sin(70)=\frac{x}{10}[/tex]

We are solving for x. We must isolate x on one side of the equation.

Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.

[tex]10*sin(70)=\frac{x}{10}*10[/tex]

[tex]10*sin(70)=x[/tex]

[tex]10*0.939692621=x[/tex]

[tex]9.39692621=x[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.

[tex]9.4 \approx x[/tex]

x is about 9.4

Answer:

Answer: The slope of the line = 4.

Step-by-step explanation:

We know that ,

Slope of a line passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]  = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here , the line passes through points (2,18) and (8,42).

Then the slope of the given line = [tex]\dfrac{42-18}{8-2}[/tex]

[tex]=\dfrac{24}{6}=4[/tex]

Hence, the slope of the line = 4.

Answer:

4

Step-by-step explanation:

i took the test and got it right

Answer:

C. Both expressions involves addition.

Step-by-step explanation:

Answer:

4.15

Step-by-step explanation:

Answer:

h = 3.82

I have attached picture

Answer:

4

Step-by-step explanation:

Constant of proportionality is given as, k = y/x

To find the constant of proportionality of the table of values given, use any of the given pairs of values, say, (1, 4).

Thus, k = 4/1 = 4

Constant of proportionality = 4

Answer:

The constant of proportionality is 4

Step-by-step explanation:

For every 4 there is one, so for 2 there would be an 8, for 3 a 12, so on and so 'forth'.

Answer:

(7,3)

Step-by-step explanation:

You're welcome.

Here's a screenshot of the answer below:

Answer: 300

Step-by-step explanation:

You are on the computer 5 hrs/per weekday, 25 hrs per week, 1300 hrs per year

Answer:

plzzzzz

Step-by-step explanation:

lolzzzz

Answer:

25% of 150 is $37.50

Any dollar amount greater than or equal to $187.50 would be at least a 25% increase

Step-by-step explanation:

The value of theta is pi/4

[tex]\arccos \left(\frac{\sqrt{2}}{2}\right)= \theta[/tex]

here the value of the,

The value of the  arccos(sqrt2/2) is,

[tex]\arccos \left(\frac{\sqrt{2}}{2}\right)=\frac{\pi }{4}[/tex]

Therefore the value of theta is pi/4

So the second option is correct.

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Answer: 3.265

Step-by-step explanation:

Answer:

814.628 kg

Step-by-step explanation:

We are finding the total number of kilograms, so we must add it all together.

673.718 + 140.91 = 814.628 kg in all

Answer:

$10.2925, Rounded up: 10.30

Step-by-step explanation:

First, you find what 15% is in a decimal. so you do 15 x 100 to get 0.15

Then you multiply that by 8.95 to get 1.3425

Finally, you add up the numbers and get 10.30 as a rounded answer :D

Answer:

C. The university surveys 600 randomly selected students who attend the university.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope of the line is 2 and the y-intercept is -6. y-intercept is the point where x is zero. Hence, the point is (0,-6) When we graph a linear function by slope-intercept method, first of all we plot the y-intercept. Hence, first of all we plot the point (0,-6) Now, slope is given by if rise is positive then we move up from the y -intercept and if negative then move down. We keep run always positive and hence we move right from the rise point. rise = 2 run = 1 Rise is positive hence, we move 2 units up from the point (0,-6) and then move 1 unit right to get the next point. Then we draw a line passing through these points. A is the correct option.

Answer:

£365 is cheaper than  €425.

Step-by-step explanation:

We want to convert both prices to the same currency. It is easier to convert pounds to euros, as the exchange rate uses £1.

€425 or £365

£365 = €(365 * 1.14)

£365 = €416.10

€425 > €416.10

£365 is cheaper than  €425.

Answer:

rational

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Question:

Which two integers are 7 units away from the number 0 an a number line ?

Answer:

-7 and 7

Answer:

5/6−1/9=13/18

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(5/6×3/3)−(1/9×2/2)=?

Complete the multiplication and the equation becomes

15/18−2/18=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

15−2/18=13/18

This fraction cannot be reduced.

Therefore:

5/6−1/9=13/18