Ray starts walking to school at a rate of 2 mi/h. Ten minutes later, his sister runs after him with his lunch, averaging 6mi/h.

Answer:

B. 16p+6

Step-by-step explanation:

Answer:

B . 16p + 6

Step-by-step explanation:

12p + 9 + 4p -3

collect like terms

(12p + 4p) + (9 - 3)

16p + 6

Answer:

Alejandro bought a television set for $900 and paid a sales tax of 8%. How much did he pay for the television set

Step-by-step explanation:

Answer:

20.56 cm

Step-by-step explanation:

Answer:

No parallel lines

Lines 1 and 3 are perpendicular

Step-by-step explanation:

Given:

[tex]Line\ 1:y = -\frac{3}{4}x + 3[/tex]

[tex]Line\ 2: \frac{2}{8}x -6y = 2[/tex]

[tex]Line\ 3: 3y = 4x + 7[/tex]

Required

Determine if they are parallel, perpendicular or not

The slope intercept of a line has the form:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

First, we calculate the slope of each lines

[tex]Line\ 1:y = -\frac{3}{4}x + 3[/tex]

Compare the above to [tex]y = mx + b[/tex]

[tex]m_1 = -\frac{3}{4}[/tex]

[tex]Line\ 2: \frac{2}{8}x -6y = 2[/tex]

[tex]\frac{2}{8}x -6y = 2[/tex]

Make -6y the subject

[tex]-6y = 2 - \frac{2}{8}x[/tex]

Divide through by -6

[tex]y = -\frac{2}{6} + \frac{2}{8*6}x[/tex]

[tex]y = -\frac{1}{3} + \frac{1}{8*3}x[/tex]

[tex]y = -\frac{1}{3} + \frac{1}{24}x[/tex]

[tex]y = \frac{1}{24}x-\frac{1}{3}[/tex]

Compare the above to [tex]y = mx + b[/tex]

[tex]m_2 = \frac{1}{24}[/tex]

[tex]Line\ 3: 3y = 4x + 7[/tex]

[tex]3y = 4x + 7[/tex]

Divide through by 3

[tex]y = \frac{4}{3}x + \frac{7}{3}[/tex]

Compare the above to [tex]y = mx + b[/tex]

[tex]m_3 = \frac{4}{3}[/tex]

So, we have:

[tex]m_1 = -\frac{3}{4}[/tex]

[tex]m_2 = \frac{1}{24}[/tex]

[tex]m_3 = \frac{4}{3}[/tex]

None of the slopes are the same, so none of the lines are parallel.

However, lines 1 and 3 are perpendicular.

This is shown below

When the slope of two lines satisfy the following condition, then they are  perpendicular.

[tex]m_1 = -\frac{1}{m_3}[/tex]

This gives:

[tex]-\frac{3}{4} = -\frac{1}{4/3}[/tex]

[tex]-\frac{3}{4} = -1/\frac{4}{3}[/tex]

Convert / to *

[tex]-\frac{3}{4} = -1*\frac{3}{4}[/tex]

[tex]-\frac{3}{4} = -\frac{3}{4}[/tex]

Answer:

Step 1: Write down the percent divided by 100 like this: 1200% = 1200 / 100. Step 2: Multiply both top and bottom by 10 for every number after the decimal point: As 1200 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Answer:

12/1 or 12

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Given expression is [tex]y^{-\frac{4}{3}}[/tex].

Exponent of this expression is [tex](-\frac{4}{3})[/tex].

Option (A)

[tex]-\frac{4}{3}y[/tex]

Since, exponents and coefficients of both the expressions are different.

They are not equivalent.

Option (B)

[tex]-(\sqrt[3]{y})^4=-(y^{\frac{1}{3}})^4[/tex]

            [tex]=-y^{\frac{4}{3}}[/tex]

Here, exponent is with positive notation [tex](+\frac{4}{3})[/tex] while in the original expression it is negative [tex](-\frac{4}{3})[/tex].

Therefore, both the expressions are not equivalent.

Option (C)

[tex]\frac{1}{(\sqrt[3]{y})^4}=(\sqrt[3]{y})^{-4}[/tex]

         [tex]=y^{-\frac{4}{3}}[/tex]

Both the expressions are equivalent.

Option (D)

[tex]-(\sqrt[4]{y})^3=-(y)^{\frac{3}{4}}[/tex]

Exponents of both the expressions are different.

Therefore, not equivalent.

Option (E)

[tex]\frac{1}{(\sqrt[4]{x})^3}=(\sqrt[4]{x})^{-3}[/tex]

         [tex]=y^{-\frac{3}{4}}[/tex]

Exponent of this expression is different from the original expression.

Therefore, not equivalent.

Option (C) will be the correct option.

Answer: 0.74

Step-by-step explanation:

Answer:

Rhombus I guess

Step-by-step explanation:

Because rhombus have equal interior angles which is 90° so we can bisect or divide equally

Answer:

(2x + 3) (2(2)x2 – 2+4)

Step-by-step explanation:

thats what i got hope it helps :)

Answer:

12x+18

Step-by-step explanation:

(2x+3)(2 x 2-2+4)

(2x+3)(4-2+4)

(2x+3)(2+4)

(2x+3)(6)

(2x+3) x 6

12x+18

I'm assuming the 2x2 is 2 times 2

[tex] \bold{\underline{Solution}}[/tex]

[tex]{\bold{\underline{\underline{Given}}}}[/tex]

[tex]45÷3+2×8-12+30[/tex]

[tex] {\bold{ \underline{lets \: begin - : }}}[/tex]

Now,

Solve,,

[tex] \small\bold{simpify}[/tex]

[tex]45 \div \: 3 + 2 \times 8 - 12 + 30 \\ \\ = 15 + 16 - 12 + 30 \\ \\ = 15 + 16 - 12 + 30 \\ \\ = 49[/tex]

Division → Multiplication → Addition →Subtraction .

BODMAS stand for

Answer :

Solution :

Using BODMAS rule.

First dividing.

>> 45 ÷ 3 + 2 × 8 - 12 + 30

>> 15 + 2 × 8 - 12 + 30

Now multiplying 2 into 8,

>> 15 + 16 - 12 + 30

Adding 15 and 16,

>> 31 - 12 + 30

Now,

>> 19 + 30

>> 49

Answer:

13

Step-by-step explanation:

-(-13) = 13

Answer:

13

Step-by-step explanation:

a - times - is a + so there you go I would use photo math if I was you

Answer: each movie costs 7$

Step-by-step explanation: 41-6=35 and you divide that by 5 which is 7

Answer:

each movie cost $7

Step-by-step explanation:

41 - 6 = 35

35 / 5 = 7

Answer:

I would think D

Step-by-step explanation:

Answer:

me too

Step-by-step explanation:

Answer: i think this question is asking for y=1/3x - 1

Answer:

hcf, ( 308; 420) = 28 = 2^2 × 7: greatest ( highest ) common factor ( divisor ), calculated.

Answer:

1. 8x+9

2. 3x + 11

3. 9x + 8

4. 11x+9

5. 6x

6. 10x+ 8

7. 7x+7

Step-by-step explanation:

Answer:

question 1: 8x + 7

question 2: 3x + 11

question 3: 9x + 8

question 4: 11x + 9

question 5: 6x

question 7: 10x + 8

question 8: 7x + 7

Answer:

is it -8r

Step-by-step explanation:

Answer:

70 + 4D

Step-by-step explanation:

- (2 x 100) + (7 x 10) + (4 x D) + (2 x 100)

   - (200) + (70) + 4D + 200

       -200 + 70 +4D + 200

             -130 + 4D + 200

                   70 + 4D

Answer:

-45

Step-by-step explanation:

add 10 to -25, then divide 1/3 to that answer, which is -15. and you get -45

Answer: N=-45

Step-by-step explanation: Solve for n by simplifying both sides of the equation, then isolating the variable.

Answer: x=68

Step-by-step explanation:

A. It’s asking what the last test must have to be (x) for all five tests to average out to an 80. This can be represent by:

(95+76+77+84+x)/5=80

The first four numbers are the existing test scores and x is the score you need. This is all divided by five so that you can find the average of all of these added together, which will equal 80, because that’s the grade you’re trying to get. Next, just solve for x:

= 95+76+77+84+x=80(5)

= 332+x=400

X=68

B. I got 74 for this one by using the same process as in part a, but I divided the left side by six and multiplied x by two: (95+76+77+84+2x)/6=80

But I’m not completely positive about this answer. A is definitely right though

Answer:

170

Step-by-step explanation:

91+79

Answer:

The range would be 170

Step-by-step explanation:

79- -91= 170

Answer:

[tex]x > 17[/tex]

Step-by-step explanation:

[tex]120 -8x < -16\\- 120\\\frac{-8x}{-8} < \frac{-136}{-8}\\x > 17[/tex]

Answer:

They are the same slope

Step-by-step explanation:

When you convert both equations you get y=-[tex]\frac{1}{2\\}[/tex]x-[tex]\frac{5}{2}[/tex]

Answer:

Step-by-step explanation:

Given formula:

Solving for n:

[tex]S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} [/tex]

where, n =number of sides of polygon

S =sum of the degree measures of the interior angles of the polygon

Pr ( A & B ) , ie Probability (Senior Student with Statistics) = 0.15

Given : Event A = Student is senior, Event B = Student takes statistics

Pr (A & B) = Favourable Students / Total Students = 15 / 100

P = 0.15

To learn more, refer https://brainly.com/question/13604758

Answer:

4x+2

Step-by-step explanation:

Perimeter = 2(width) + 2(length). So 12x+4 = 2(2x) + 2(length) .

12x+4 = 4x + 2(length) then subtract 4x from both sides to get 8x+4 = 2(length). In order to get length by itself you need to divide both side by 2.

4x+2 = length. Hope this helps!

Answer:

Step-by-step explanation:

(-3 - 0)/(2 - 14) = -3/-12 = 3/12= 1/4