Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9?

Answer:

x = [tex]\frac{k(a+r)}{7}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{7x}{k}[/tex] - r ( add r to both sides )

a + r = [tex]\frac{7x}{k}[/tex] ( multiply both sides by k to clear the fraction )

k(a + r) = 7x ( divide both sides by 7 )

[tex]\frac{k(a+r)}{7}[/tex] = x

Answer:

        ak - kr                 k(a - r)

x = --------------  or  x = ------------

             7                          7

Step-by-step explanation:

1. Multiply all three terms by k to eliminate the fraction:

ak = 7x - kr

2.  Subtract kr from both sides:

7x = ak - kr

3.  Divide both sides by 7:

        ak - kr                 k(a - r)

x = --------------  or  x = ------------

             7                          7

Answer:

y = -x + 17

Step-by-step explanation:

A(-10,-3)

B(7,14)

C(5,12)

Need line CD perpendicular to AB through C.

Solution:

slope of AB, m1 = (yb-ya) / (xb-xa) = (14- -3) / (7- -10) = 17/17 = 1

Slope of CD, m2 = -1/m1 = -1 / 1 = -1

Line CD through C, using the point slope form

y-yc = m2(x-xc)

y-12 = -1 (x-5)

rearrange

y = -x + 5 + 12

y = -x + 17

Answer:

x intercept of CD is (17, 0)

Point (-2, 19) lies on CD

Step-by-step explanation:

Let the total weight of the candy = x

We know the total weight is:

X = 3/20x + 1.2 + 3/5x+ 0.3

Simplify:

X= 3/20x + 1.2 + 12/20x + 0.3

X = 15/20x + 1.5

Subtract 15/20x from both sides:

5/20x = 1.5

Divide both sides by 5/20:

X = 1.5 / 5/20

X = 6

Total = 6 pounds.

Answer:

1,014

Step-by-step explanation:

Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be

13x13x6 (6 sides)

=1014

Answer:

507

Step-by-step explanation:

apeex

Answer:

Just use 2 days

Step-by-step explanation:

Train for 2

Break

Train for 2

Break

Lunch

Day 2:

Train for 2

Break

Lunch

Exams

Answer:

80%; 30%

Step-by-step explanation:

There is 5 blue marbles, 2 black marbles, and 3 red marbles. In other words, there is a total of 10 marbles.

There are only 2 black marbles and 8 marbles that are not black. Therefore, the probability of not drawing a black marble is 8/10 or 4/5 or 80%.

There are only 3 red marbles out of the 10 total marbles. Therefore, the probability of drawing a red marble is 3/10 or 30%.

Answer:

16a^2+5

Step-by-step explanation:

Answer:

2. sinθ= cos 35°

sinθ= sin(90°-35)

θ= 55°

3. cos4θ= sin5θ

cos 4θ= cos (90-5θ)

4θ=90°-5θ

collect like terms

4θ+5θ=90°

9θ=90° (divide both sides by 9)

therefore θ=10°

Answer:

He can ride for 28 miles

Step-by-step explanation:

Total cost of the ride = $ 10

Tips = $ 2

Cost of ride excluding tips = 10 - 2 = $ 8

Taxi fare for first 500 miles = $ 2.40

Taxi fare excluding first 500 miles =  8 - 2.40 = $ 5.60

distance traveled by him excluding first 500 miles = 5.60 ÷ cost of additional mile

 = 5.60 ÷ 0.20

=28 miles

Answer:

6 yds

Step-by-step explanation:

We know there are 3 ft in 1 yd

Divide  by 3 ft

18 ft / 3 ft = 6 yds

Answer:

6 yards

Step-by-step explanation

1 yard= 3 feet

Answer: E. The expression is 8(x + 2), and the weight is 64 pounds.

Step-by-step explanation:

Given: Number of machine parts in a batch = 8

weight of packaging for each part = 2  pounds

Let  x be the weight of each part ( in pounds).

Weight of each part with packaging = x+2

Then, Total weight of the parts and their packaging =  (Number of machine parts) x (Weight of each part with packaging )

= 8(x+2)

If each part weighs 6 pounds, then put x= 6

Total weight of the parts and their packaging =  8(6+2)

= 8 x 8 = 64 pounds

Hence, If each part weighs 6 pounds, then the total weight of the shipment will be 64 pounds .

Here is what we know:

8 machine parts

each part = x pouunds

packaging for each part is 2 pounds so 16 pounds for packaging

If y=total weight wiith that information we can form this equation

y=8x + 16

If each part equals 6 pounds the total shipment will be

y=8x+16

y=8(6) + 16

y= 48 + 16

y=64

Answer:

Step-by-step explanation:

Answer:

It states that assuming the trunk is 96" long.  So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.

Step-by-step explanation:

The length of the diagonal of the trunk is 56.356011 inches.

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.

Given:

height of the trunk= 26 inches

length of the trunk= 50 inches

using Pythagorean theorem,

diagonal length of the trunk=√(height² +length²)

=√(26²+50²)

=√3176

=56.356011 inches

Hence, the length of the diagonal of the trunk is 56.356011 inches.

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Answer:

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Step-by-step explanation:

A prism has a volume of 238 cubic millimeters.

A prism has a length of l millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters.

Which is the correct substitution for finding the length of the prism?

A. V = l w h. 238 = l + 8 and one-half + 3 and one-half

B. V = l w h. V = 238 times 8 and one-half times 3 and one-half

C. V = l w h. l times 8 and one-half times 3 and one-half

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

From the question

V=lwh

Volume of a prism=length)(width)(height)

Volume=238

l= l mm

w= 8 1/2

h= 3 1/2

Substituting all the values

V=lwh

238= l * 8 1/2 * 3 1/2

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Answer:

D

Step-by-step explanation:

got it right on edge 2020

Answer:

the answer is "A coordinate grid containing a U shape with arrows on both ends that opens to the right.  The bottom portion of the U passes through the origin"

I took the test.  Good luck!

A function is a coordinate grid containing a U shape with arrows on both ends that opens to the right, and in which the bottom portion of the U passes through the origin.

A function is a rule that connects outputs to each value. The relationship between value and output is often described with a mathematical formula, where the value is represented by one or more variables, alternatively by a table or graphically by a graph, a relationship diagram or an arrow diagram.

An important property of functions is that they are deterministic (that is, consistent, so that each value always gives the same value). This means that the function can be seen as a machine, which systematically delivers output values ​​as soon as input values ​​are inserted.

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Answer:

not quite sure what this is asking for but the average speed is 7800/11

====================================================

Work Shown:

T = tens digit of the original number

U = units digit of the original number

U+T = 10 since the digits add to 10. Solve for U to get U = 10-T

10T+U = original number

10U+T = new number where digits are reversed

-----------

new number = (old number) + 36

10U+T = (10T+U)+36

10U+T = 10T+U+36

10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T

100-10T+T = 10T+10-T+36

-9T+100 = 9T+46

100-46 = 9T+9T

54 = 18T

18T = 54

T = 54/18

T = 3 is the tens digit of the original number

U = 10-T

U = 10-3

U = 7 is the units digit of the original number

10T+U = 10*3+7 = 30+7 = 37 is the original number

73 is the reversed number.

73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.

Answer:

37

Step-by-step explanation:

Answer:

The answer is option A.

√48 = 6.93 to the nearest hundredth

Hope this helps you

Answer:

A

Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

Standard notation is just the normal way of writing things. 10 x 10 x 10 x 10 = 10,000.

Answer:

y -1 = -3(x+1)

Step-by-step explanation:

First find the slope

(-1,1) and (1,-5)

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

   = (-5-1)/(1--1)

   =-6/ (1+1)

   = -6/2

   = -3

We are using point slope form

y-y1 = m(x-x1)  where m is the slope

y - 1 = -3( x - -1)

y -1 = -3(x+1)

Answer:

The answer is option D.

Step-by-step explanation:

Equation of a line is y= mx + c

where m is the slope

Slope of the line using points

(-1,1) and (1,-5) is

[tex] \frac{ - 5 - 1}{ 1 + 1} = \frac{ - 6}{2} = - 3[/tex]

Therefore the equation of the line using point (-1,1) is

Hope this helps you

Answer:

$1500

Step-by-step explanation:

It is given that

Rent  = $100

Groceries and drinks = $1000

Insurance premiums   = $10

Loan interest payment  =$30

Clothes  = $200

Utilities  = $300

Home security fee  = $200​

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]

Therefore, total variable cost for last month is $1500.

Answer:

$1500

Step-by-step explanation:

I just took the test and got it right

Answer:

what is the y-intercept sorry i can't help there isn't enough information

Step-by-step explanation:

Answer: The polynomial has 3 terms and a degree of 10.

Step-by-step explanation:

The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]

Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.

Combine like terms , we get

[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.

Degree of [tex]6st^9[/tex]  is 1+9=10;

Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;

Degree of  [tex]- 6t^7[/tex]  is 7.

Since degree of the polynomial = highest degree i.e. 10

Hence, the polynomial has 3 terms and a degree of 10.

The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.

Discussion:

By counting the number of terms in the polynomial;

Additionally, the degree of the polynomial is 10.

This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.

Read more on polynomial degree;

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Answer:

1/4

Step-by-step explanation:

Given:

Colors

Yellow 1

Red 1

Blue 2

Total 4

Required:

Times that the spinner landed on red=?

Formula:

Probability=Successful outcome ÷ Possible outcome.

Solution:

Probability=Successful outcome ÷ Possible outcome

Probability=1÷4

Probability=1/4

Hope this helps ;) ❤❤❤

Answer:

about 125 times

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

cas if x =1

then 1^2>or=1

1is not >or=1

Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)

Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)

Put this together to get the answer (x,y) = (4,8)

Answer:

The two lines intersect at (4,8).

Answer:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Step-by-step explanation:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

The equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

The De Morgan's law states that → ~(p ∧ q) is same as (~ p ∨ ~ q). Theoretically, we can write it as → Not (A and B) is the same as Not A or Not B.

Given is the following statement - It is not the case that a gun and a nose are both weapons.

Now, we know that the De Morgan's law states that → Not (A and B) is the same as Not A or Not B. In the statement given -

A = gun

B = nose

~(p ∧ q) = Not(A ∧ B)

So, we can write it as -

~(p ∧ q) =  Not(A ∧ B) = A gun is not a weapon or a nose is not a weapon.

where -

A gun is not a weapon → ~p

or → ∨

a nose is not a weapon → ~q

Therefore, the equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

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Answer: [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Step-by-step explanation:

In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.

Also, CE = CD = radius

⇒ ∠CED = ∠CDE  ---(i)  [angles opposite to equal sides of triangle are equal]

Since radius makes a right angle with tangent.

So, ∠CDF = 90°

⇒ ∠CDE =∠CDF - ∠EDF

⇒ ∠CDE=  90° - 84°

⇒ ∠CDE = 6°

From (i) ∠CED =∠CDE = 6°

In ΔCDE

⇒∠CED + ∠CDE + ∠ECD =  180°

⇒ 6°+6°+ ∠ECD =  180°

⇒ 12°+ ∠ECD =  180°

⇒∠ECD =  180° - 12°

⇒∠ECD =  168°

Since , Angle measure of the central angle is equal to the measure of the intercepted arc.

Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]

⇒[tex]m\overbrace{ED}[/tex]=  168°

Hence,  [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.

Answer:

the answer is 74

Step-by-step explanation:

i did the cumulative test