The diagram shows a rectangle. Its width is 3a, and its height is 5b. Write down an expression for the area of the rectangle. Simplify your answer.

Answer:

49

Step-by-step explanation:

I would add the tens place and ones place together. The tens place; is 30+10 (From the 3 and 1 in the tens place) and 5+4, which is 40+9, which is 49.

Answer:

1/m^5

Step-by-step explanation:

express with a positive exponent using x^-n = 1/x^n

Answer:

[tex]c)\: \cfrac{1}{m^5}[/tex]

Step-by-step explanation:

[tex]m^{-5}[/tex]

Apply the exponent rule:

[tex]m^{-5}[/tex]

[tex]\cfrac{1}{m^5}[/tex]

Hope it helps! :)

Answer:

See below

Step-by-step explanation:

Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

Line a: -x+2y=3

                 2y = x + 3

                  y = (1/2)x + 3

Line b: -6x=3y-1

             -3y = 6x - 1

               y = -2x + (1/3)

Line c: 4x-8y=5

              -8y = -4x + 5

                y = (1/2)x - (5/8)

Parallel lines have the same slope (m).  Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.

Slopes, m, for the lines are;

The negative inverse of (1/2) is -2.

Lines a and c are parallel (same slope)

Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2

Answer: 135 minutes

Step-by-step explanation:

45/7= 6.42857142857

6.42857142857 x 21 = 135

Answer:

How to find the mode

Step-by-step explanation:

First, put the numbers in order from lowest to highest. The number that shows up the most is the mode. The most common number is 5.

Your mode would be 5.

Good luck :)

Answer:

[tex]x>-28[/tex]

Step-by-step explanation:

Given the following question:

[tex]-x\div4<7[/tex]

In order to find the answer, we have to isolate the variable by multiplying four on both sides.

[tex]\frac{-x}{4} <7[/tex]
[tex]\frac{-x}{4} =x\times4[/tex]
[tex]7\times4=28[/tex]
[tex]-x>28[/tex]
[tex]-x\times-1=x[/tex]
[tex]28\times-1=-28[/tex]
[tex]x>-28[/tex]

Hope this helps.

Answer:

x>-28

Step-by-step explanation:

First to cancel out the fraction times the whole fraction by the denominator 4 AND the 7 then multiply 7*4=28

This leaves you with

-x<28

To get rid of the -x divide both sides of the inequality by -x, This also changes the sign of the inequality to > Because you are Dividing both sides of the inequality

Negative/Negative =positive

Positive/Negative =Negative

So, You get
x>-28

Answer:

SLOPE IS = 2

Step-by-step explanation:

to find the slope you should remeber the slope equation:

[tex]M=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex](x_{1} ,y_{1} )=(-4,-1)\\(x_{2} ,y_{2} )=(-3,1)[/tex]

[tex]M=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\M=\frac{1-(-1)}{-3-(-4)}[/tex]

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

SLOPE IS =2

Answer:

I can't really tell my vision is probably blurry

Step-by-step explanation:

Answer:

figure it out your self stop having other people do your work for you

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

when x is squared it will always be positive so x can be negative or positive

Answer:

Step-by-step explanation:

Tangents drawn to the circumference of a circle are equal.

x^2 + 8 = 33                      Subtract 8 from both sides

x^2+8-8 = 33 - 8               Combine

x^2 = 25                            Take the square root of both sides.

√x^2 = √25

x = ± 5

So x = 5.

x can also be - 5. The minus goes away when you calculate x^2

because x is squared, you can get two answers, but be very careful when doing geometry questions that the minus number is used in such a way that only a positive value will be left.

Answer:

  T'''(2, 6)

Step-by-step explanation:

The transformations used in this problem are ...

  (x, y) ⇒ (-x, -y) . . . . . rotation 180° about the origin

  (x, y) ⇒ (x +h, y +k) . . . . translation h right and k up

  (x, y) ⇒ (y, x) . . . . . . reflection over the line y=x

__

Applying these transformations to point T(-5, -4), we have ...

1.  T(-5, -4) ⇒ T'(5, 4)

2. (h, k) = (1, -2), so we get ...

  T'(5, 4) ⇒ T"(5 +1, 4 -2) = T"(6, 2)

3. T"(6, 2) ⇒ T'''(2, 6) . . . . straightforward application of the separate transformations

Answer:

C

Step-by-step explanation:

Let's assume the number is x.

Negative means a minus or subtraction.

Decrease also means a minus or subtraction.

Three times the number which we have assumed to be x will be: 3*x=3x

The answer:

-13 - 3x

Experimental probability of the arrow of spinner (rotated 80 times) stopping over Section 1 is one fourth or 0.25.

Experimental Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event during the experiment.

Given information-

Total number of sections in a spinner is 3.

Total number of times the trials done is 80.

The three section table given in the problem has the values as,

The experimental probability of the arrow stopping over Section 1 has to be find out.

As the experimental probability of an event is the ratio of number of times it took place to the total trails. Thus the experimental probability of the arrow stopping over Section 1 is,

[tex]P=\dfrac{20}{80}\\P=\dfrac{1}{4}\\P=0.25[/tex]

Thus experimental probability of the arrow of spinner (rotated 80 times) stopping over Section 1 is one fourth or 0.25.

Learn more about the experimental probability here;

https://brainly.com/question/8652467

Answer:

179

Step-by-step explanation:

- 24 × - 8 -13

(- 24 × - 8) - 13

192 - 13

  179

Hope this helps!

Answer:

12/30

Step-by-step explanation:

See the picture and let me know if you have any questions

Answer:

Total number of students= 5

Each ate = 2/3

Total amount eaten=?

Then,

2/3×5

=10/3

Hence 10/3 is the total amount eaten.

Answer:

They are similar because both triangles are the same. Triangle ABC is just smaller than triangle ADE.

Answer:

∠2 = ∠5 (co-interior angles)

∠2 = 3x - 20

∠5 = x + 20

So,

∠2 = ∠5

3x - 20 = x + 20

3x - x = 20 + 20

2x = 40

x = 40/2

x = 20

Hope it helps ⚜

Answer:

a. 7/25

b. 24/25

c. 24/25

d. 7/25

e. 7/24

f. 24/7

Step-by-step explanation:

sin is opposite/hypotenuse.

cos is adjacent/hypotenuse.

tan is opposite/adjacent.

Plug in the formulas to get find the ratios.

Given :-

To Find :-

Solution :-

Here the initial cost is Rs 3500 and the new cost is Rs 3200. So the decrease in its price is ,

→ Decrease = Rs 3500 - Rs 3200

→ Decrease = Rs 300

Now we may find the % change in its price by ,

→ Decrease in cost/Initial cost * 100 %

→ Rs 300 /Rs 3500 * 100 %

→ 8.57%

Hence the price is decreased by 8.57% .

I hope this helps.

Answer:

Decreased Percentage is 8.57 %

Step-by-step explanation:

Given:

Cost of cell phone = Rs. 3500

Cost after decreased in price Rs. 3100

To find:

Decreased percentage

Decreased Amount =

3500 - 3100

= Rs. 300

Decreasee Percentage =

[tex]\frac{decreased \: \: amcount}{initial \: \: cost} \times 100 [/tex]

[tex] = \frac{300}{3500} \times 100[/tex]

[tex] = \frac{300}{35} [/tex]

= 8.57%

Answer:

Each coffee is $6

Step-by-step explanation:

So she bought a cupcake so 35-5=30

Divide 30 by 5 and you get 6.