21. The difference between two numbers is 29. If five times the smaller is subtracted from twice the larger,
the result will be one. What is the larger number?

Answer:

9/16

Step-by-step explanation:

3/16 + 2/16 + 4/16 = 9/16

Answer:

9/16

Step-by-step explanation:

To solve this, you first need to give all the fractions a common denominator. In this case all the denominators can be mutiplied to 16, so that will be our common denominator. So now that all of the denomitors are the same,(3/16+2/16+4/16) we can start solving the problem. First, 3/16+2/16=5/16. Then do, 5/16+4/16=9/16.

Answer:

3 multiplied by 10^-10

Answer:

y ≥ x - 2 and x + 2y < 4

Step-by-step explanation:

There are two lines graphed.

The dotted line passes through (0,2) and (4,0), then:

slope (m): (0 - 2)/(4 - 0) = -1/2

y-intercept (b): 2

equation:

y = mx + b

y = -1/2x + 2

multiplying by 2 at both sides, we get

2y = -x + 4

x + 2y = 4

The inequality is x + 2y < 4 because points below this line are shaded and points on the line are not included.

The solid line passes through (0,-2) and (2,0), then:

slope (m): (0 - (-2))/(2 - 0) = 1

y-intercept (b): -2

equation:

y = x - 2

The inequality is y ≥ x - 2 because points above this line are shaded and points on the line are included.

Answer: r=-56

Step-by-step explanation:

multiply 7 on both sides

[tex]\frac{7r}{7}=7\left(-8\right)[/tex]

7*-8=-56

7 and 7 is eliminated

so x=-56

Answer:

r= -56

Step-by-step explanation:

The equation given is:

[tex]\frac{r}{7}= -8[/tex]

We want to solve for r. In order to do this, we must get r by itself.

Currently, r is being divided by 7. We want to perform the inverse, which is multiplication. Therefore, we should multiply both sides of the equation by 7.

[tex]7*\frac{r}{7}= -8 * 7[/tex]

[tex]r=-8*7[/tex]

[tex]r= -56[/tex]

Let's check our solution. Substitute -56 back in for r and solve.

[tex]\frac{r}{7}= -8[/tex]

[tex]\frac{-56}{7}= -8[/tex]

[tex]-8=-8[/tex]

Both sides of the equation are the same, so we know our answer is correct.

Answer:

f(2)= 2, f(3)= -9

Step-by-step explanation:

To find f(2) o f(3), you simply plug the respective number into the function, substituting it for x:

f(2)= -3(2)^2 + 4(2) + 6

f(2)= -12 + 8 + 6

f(2)= 2

f(3)= -3(3)^2 + 4(3) + 6

f(3)= -27 + 12 + 6

f(3)= -9

Answer:

5

Step-by-step explanation:

Answer:

W=5

Step-by-step explanation:

First we distribute the -4 in

-4w - 4 =-24

Now we isolate the -4w by adding 4 to both sides

-4w=-20

Now divide

w=5

Have a good day!

Answer:

The answer will be 7L/100km.

Step-by-step explanation:

The fuel consumption rate is already given for the first 100 km. So, the next 500 km will be 100km to 600km. You have to find the slope of the line during this travel. If you observe, the fuel lowers from 40 litres to 5 litres in this 500km journey. That means, 35 litres were used for 500km. Divide both with 5. That gives 7litres per 100km.

Hey there! :)

Answer:

x = 7L/100km.

Step-by-step explanation:

Solve this problem by using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Use the points (100, 40) and (600, 5) and plug these into the formula:

[tex]m = \frac{5-40}{600-100}[/tex]

Simplify:

[tex]m=\frac{-35}{500}[/tex]

Since this is describing the rate of consumption, we can simply write the slope as:

[tex]m = \frac{35}{500}[/tex]

The question is asking for the rate of consumption over 100 km, therefore:

[tex]\frac{35}{500} = \frac{x}{100}[/tex]

Cross multiply:

3500 = 500x

Divide both sides by 500:

3500/500 = 500x/500

x = 7L/100km.

Answer:

19/64

Step-by-step explanation:

number of boys:

red haired boys:

The fraction:

Answer:

19/64

Step-by-step explanation:

number of boys: 11+21+13+19=64

red haired boys: 19

The fraction: 19/64

Answer:

100 numbers

Step-by-step explanation:

There are 100 numbers with 5 as the hundreds digit. (500-599)

There are 100 numbers with 6 as the hundreds digit. (600-699)

There are 50 even numbers with 5 as the hundreds digit.

(500, 502, 504, ... , 598)

There are 50 even numbers with 6 as the hundreds digit.

(600, 602, 604, ... , 698)

50+50=100 numbers

Answer:

The the equation of the line through the points (8, -2) and (5, 5) in slope-intercept form is

[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]

Step-by-step explanation:

Let's start by calculation the slope of the line by finding the slope of the segment that joins the two given points (8, -2) and (5,  5):

[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{5-(-2)}{5-8}\\slope=\frac{7}{-3} \\slope=-\frac{7}{3}[/tex]

Now we use this slope in the general slope-intercept form of a line;

[tex]y=mx+b\\y=-\frac{7}{3} x+b[/tex]

and then we calculate the value of the intercept "b" by using one of the given points through which the line must pass (for example (5,5) ), and solving for b:

[tex]y=-\frac{7}{3} x+b\\5=-\frac{7}{3} (5)+b\\5=-\frac{35}{3} +b\\b=5+\frac{35}{3}\\b=\frac{50}{3}[/tex]

The the equation of the line is

[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]

Answer:

The correct option is C

C) 76°

Step-by-step explanation:

The question is incomplete because the figure is not given. I have attached the figure of the same question below. Consult it for better understanding.

We can see in the figure that <2 and <4 are opposite angles, therefore these are equal.

<2 = <4

126 = 7x

x = 18

Similarly we can also see that <5 and <7 are also opposite angles, therefore they are equal too.

<7 = <5

<7 = 4x+4

Substitute x=18

<7 = 4(18) + 4

<7 = 76°

Answer:

option c

Step-by-step explanation:

hope this helps :)

Answer:

[tex](ab)(x)[/tex]

Step-by-step explanation:

Data provided in the question

a(x) = 2x - 4

b(x) = x + 2

Now we go through each options

First option

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

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

[tex]=2(x^2-4)[/tex]

[tex]=2x^2-8[/tex]

Second option

[tex]\dfrac{a}{b}(x)=\dfrac{2x-4}{x+2}[/tex]

Third option

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

[tex]=2x-4-x-2[/tex]

= x - 6

Fourth option

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

[tex]=2x-4+x+2[/tex]

= 3x - 2

As we can see from the above options only option A is correct i.e it only produced a quadric function

Answer:

B. y = sin x

Step-by-step explanation:

Answer:

B. 5, 12, 13

Step-by-step explanation:

√5²+12²=13 - yes

√4²+7²= 8.06- no

√20²+22²=29.73 - no

Answer:

22

Step-by-step explanation:

In this sequence, the next number is found by adding 4.

Answer:

22

Step-by-step explanation:

10 - 6 = 4

so, all next numbers have to be added by 4

Answer:

Step-by-step explanation:

Volume = Length times width times height.

Here,

Volume = (4.5 in)(5 in)(3.75 in), which, when evaluated by calculator, comes out to 84.375 cubic inches.

This is equivalent to 84 3/8 cubic inches.

Answer:

[tex]84\frac{3}{8}in^3[/tex]

Step-by-step explanation:

V = L * W * H  

V = 4 1/2 * 5 * 3 3/4

V = 9/2 * 5/1 * 15/4

V = 675/8

V = 84 3/8

Answer:

[tex]\cos(\frac25\pi) = \frac14(\sqrt5-1) \approx 0.3090[/tex]

[tex]\sin(\frac25\pi) = \sqrt{\frac58 + \frac{\sqrt5}{8}} \approx 0.9511[/tex]

[tex]\cos(2\pi) = 1[/tex]

The value of [tex]\frac{2\pi }{5}[/tex] radians corresponds to an angle of 180/5 = 72 degrees.

Answer:

point (4, 7) will go to (2, 1)

point (-8, 4) will go to (-2, 0)

point (-8, -2) will go to (-2, -2)

Step-by-step explanation:

Answer:

point (4, 7) will go to (2, 1)

point (-8, 4) will go to (-2, 0)

point (-8, -2) will go to (-2, -2)

Answer:

Total combination = 180,180

Step-by-step explanation:

It is a combination based problem.

So,

Total people = 13

Group = 3,6,2,2

So,

For 6 people

13C6= 1,716

For 3 people

7C3 = 35

For 2 group of 2 people

(4C2)/2 = 3

Total combination = 1,716 × 35 × 3

Total combination = 180,180

Answer:  y = 3x + 1

Step-by-step explanation:

In the equation y=mx+b (slope - intercept form), m represents the slope and b represents the y - intercept of the equation. We can use this to answer the problem.

Because the problem specifies here that the equation we are trying to solve for is parallel to y= 3x - 5, we can assume that its slope is 3 (the same as the line it is parallel to - this is so because of the definition of parallel lines).

m = 3

And finally, we know that the y-intercept will be in the form (0, b) - which is exactly what the given point is in. Substitute the value in, and we get:

b = 1

Now put these two values into one equation.

y = mx + b

y = (3)x + (1)

y = 3x + 1

Answer:

Mean = 76

Median = 75.2

Step-by-step explanation:

Mean - put all the temperatures in order and pick the middle one.

Median - add all the temperatures together and divide by 20.

Answer:

2000 ft x 2= 4000 ft

So the answer is 4000 ft

Answer:

The selling price of the cleaner is:

Step-by-step explanation:

First, we have the base of the value that is $120, now we know that the overhead is 5%, so we must calculate this value in dollars, the 5% of $120 is:

This value you must add to the base ($120), so the cost with the overhead is $126. How the store wants to make a profit of 10%, you must calculate this 10% of the total cost obtained ($126):

And you must add this value to obtain the final price in the store:

Answer:

A,C,&D

Step-by-step explanation:any funny bur cute romance anime recommendations?

Answer:

the distance of the Bird (B) from the plane (P)  is = 10779  ft

Step-by-step explanation:

From the given information:

a diagrammatic representation is attached below for better understanding and solution to the question.

From the diagram;

Let the Bird (B) be represent as A

The plane (P) be represented by B

The observer be represented by O

and the tower T be represented by C

we will see that:

[tex]\overline {AB} \ \| \ \overline {OC}[/tex]

Also;

[tex]\angle ABO = \angle BOC = 33^0[/tex]

AO = BC = 7000

Let consider the trigonometry of  triangle BAO

tan θ = opposite/adjacent

tan 33° = 7000/x

0.6494 = 7000/x

x = 7000/0.6494

x = 10779.18

x = 10779  ft    ( to the nearest whole number)

Thus; the distance of the Bird (B) from the plane (P)  is = 10779  ft

Answer: 10,779 feet

Step-by-step explanation: I just took the test and got it right

Answer:

1a.  {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

1b.   {5}

Step-by-step explanation:

For part 1:

A U B is the union of all values, so {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

Remember that union means to include all values.

A n B is the intersection of all values, so {5}

Remember that the intersection means "what do they have in common".

Answer:

I think that Demario is correct.

I think he is correct because the point is (1,5) and it says 5 in dollars.

Answer:

1/5

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/ (x2-x1)

    = (3-2)/(4 - -1)

    (3-2) /( 4+1)

     1/5

Answer:

B. 1/5

Step-by-step explanation:

The slope can be found through two points.

m = rise/run

m = (y2 - y1)/(x2 - x1)

m = (3 - 2)/(4 - (- 1))

m = 1/(4+1)

m = 1/5

Th slope of the line going through the points  (-1, 2) and (4, 3) is 1/5.

Answer:

0.43 is the answer

Step-by-step explanation:

you need to take the total of action movie and divide it by the grand total.

204/478 ≈ 0.43

The  probability that a randomly chosen person from this group an action movie is 0.43.

Probability refers to the idea that an event may or may not happen. The scenario described here is a mutually exclusive event. We must recall that in cases of a mutually exclusive event, we add probabilities.

Hence;

Probability of a male watching an action movie = 105/479

Probability of a female watching an action movie = 99/479

probability that a randomly chosen person from this group an action movie = 105/479 +  99/479 = 0.43

Learn mor about probability: https://brainly.com/question/14227610