Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.

StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.

What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality

Answer:

Step-by-step explanation:

The cost function c(n) for n T-shirts can be written according to the problem statement:

  [tex]c(n)=\begin{cases}20+12n&\text{for }n<10\\20+10n&\text{for }10\le n\le20\\20+7n&\text{for }n>20\end{cases}[/tex]

For an order of 15 shirts, the cost will be ...

  c(15) = 20 +10(15) = 170

The soccer team's 15 shirts will cost $170.

Answer

9=5 equivalent

Step-by-step explanation:

Answer:

A. cos(x) = 1/2

Step-by-step explanation:

2sec(x) = 9-5 = 4

sec(x) = 4/2 = 2

1/cos(x) = 2

cos(x) = 1/2

Answer:x-3

Step-by-step explanation:

The credit card provides the opportunity for Anthony to purchase the TV by paying at a rate of $50 a month.

The correct responses are;

Reasons:

The price of the TV, P = $700

The interest rate is r = 18%

The monthly payment, M = $50

Monthly payment formula is given as follows;

[tex]M = \mathbf{ \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}[/tex]

The time it will take to pay using the credit card is therefore;

[tex]\displaystyle 50 = \dfrac{700 \times \left(\dfrac{0.18}{12} \right) \cdot \left(1+\dfrac{0.18}{12} \right)^n }{\left(1+\dfrac{0.18}{12} \right)^n - 1} = \frac{10.5 \cdot 1.015^n}{1.015^n-1}[/tex]

Which gives;

50 × (1.015ⁿ - 1) = 10.5 × 1.015ⁿ

Solving for n gives;

[tex]\displaystyle n = \frac{ln\left(\frac{50}{39.5}\right) }{ln(1.015)} \approx \mathbf{15.832}[/tex]

It will take approximately 15.832 months for Anthony to pay for the TV at $50 per month.

1. The final price of the TV = $50 × 15.832 ≈ $791.6

2. The number of hours of work, t, is given as follows;

[tex]\displaystyle t = \frac{\$700}{\$10 \ per \ hour} = \mathbf{ 70 \ hours}[/tex]

Anthony has to work for 70 hours to save enough money to purchase the TV.

3. The extra hours of work is given by the hours of work needed to pay for the interest amount for the loan on the card

The interest amount on the card = $791.6 - $700 = $91.6

[tex]\displaystyle Extra \ hours \ to \ work = \mathbf{ \frac{\$ 91.6}{\$10 \ per \ hour}} = 9.16 \ hours[/tex]

Anthony has to work for extra 9.16 hours bussing tables using his credit card.

Learn more about payment on loan here:

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Answer:

A, C, and E

Step-by-step explanation:

if 16 watermelons cost 48, then 1 watermelon costs 3$ meaning A C and E apply to that.

Answer:

8.85

Step-by-step explanation:

Answer:

374mm squared

Step-by-step explanation:

Bottom rectangle can be cut off to equal 52mm, by multipling 4 by 13

the rest is 14*23, which equals 322mm

add those together to get 374mm squared

Answer:

374 square millimeters

Step-by-step explanation:

First, we can split the shape into 2 rectangles.

This will give us a rectangle with a width of 13 and 10.

Let's work out 1 rectangle at a time.

Area of a rectangle=Width times by legth

13*18=234- This is the area of 1 of the rectangles.

10*14=140- This is the area of the second rectangle

Now we add the areas together to get 374 square millimeters, which is the area of this figure.

Q. If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?

Answer:

D.

Step-by-step explanation:

Step-by-step explanation:

Nitrogen and oxygen absorb solar radiation and release thermal energy, which causes temperatures in the thermosphere to be 1000 °C or higher. When most people think of an area that has high temperatures, they think of a place that is very hot. Although the thermosphere has very high temperatures, it does not feel hot. The answer is true

Answer:

an = -6 + n

a10 = -6+ 10 =4

Step-by-step explanation:

an should start at one behind the first number so it should be -6. Then we add  whatever the sequence is increasing by, which is 1 in this case, multiplied by n.

an = -6 + n

a10 = -6+ 10 =4

Answer:

65

50

Step-by-step explanation:

yeah-ya........ right?

Answer:

y=-1/3x+2/3 (please mark brainliest)

Step-by-step explanation:

start with y=3x+6

you can get the slope of the perpendicular line by dividing the slope by -1,

so the slope of the new line is -1/3.

using the point and the slope of the new line, we can put it into point-slope form:

y-y₁=m(x-x₁)

y-0=-1/3(x-2)

simplify:

y=-1/3x+2/3

this is the final equation in the form y=mx+b

Answer:

$277.75

5.50×40=220

5.50÷2=2.75

5.50+2.75=8.25×7=57.75

57.75+220=277.75

Answer:

 19.5 = CD

Step-by-step explanation:

The square of the tangent = (length of the secant)(the length of the outside part of the secant)

EG² = (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

6.5 = EC

Now ED = EC + CD

        26 = 6.5 + CD

         19.5 = CD

The value of the segment CD will be equal to 19.5.

The relationship between the line segments produced by a secant and a tangent line and the corresponding circle is described by the tangent-secant theorem.

The square of the tangent = (length of the secant)(the length of the outside part of the secant)

It is given that In the figure below, a tangent and a secant are drawn to a circle from exterior point E. Suppose that EG = 13 and ED=26.

The value of the segment CD will be calculated as below:-

EG² = (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

6.5 = EC

Calculate CD.

ED = EC + CD

26 = 6.5 + CD

19.5 = CD

Therefore, the value of the segment CD will be equal to 19.5.

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Answer: Polynomial

Step-by-step explanation:

Answer:

3.4 cm

Step-by-step explanation:

We can solve this by calculating the volume of the soup and then figuring out the height of the soup in the saucepan from there.

Cylinder volume: πr²h

r = 0.5 * diameter

volume of soup: π(3.5)²10 ≈ 384.845

volume of soup in saucepan: 384.845

For saucepan:

πr²h = π(6)²h = volume = 384.845

36πh = 384.845

divide both sides by 36π to isolate h

h ≈ 3.4 cm

Answer:

A. y = 3x.

Step-by-step explanation:Relation 2 is a straight line that does not pass through the origin, so it is a partial variation.

Answer:

C

Step-by-step explanation:

Answer:

111.101, 110.111, 101.121, 101.112

Step-by-step explanation:

Descending order means values starting with big ones and ending with the small ones.

So, in this case,

Hope it helps :)

Answer:

i think x = -1, y = 1

Step-by-step explanation:

3+2x-y=0

so 3+2x = y

-3-7y=10X

-3-7(3+2x) = 10x

-3-21-14x = 10x

-24-14x = 10x

-14x-10x = 24

-24x = 24

x = -1

3+2x = y

so 3+2(-1) = y

3+(-2) = y

1 = y

SO x = -1 and y = 1

So, this has many steps to it.

This part is to let us know what symbols we should use (VERY IMPORTANT)

1. Since you know that Sarah is two inches taller, we would use a + sigh in our expression

2.Then you look for the key word which is quotient and that means to divide

    All of our symbols are in now. Time for the next step

This part us know what we are dividing and adding.

Now 2+ b/5

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

2/3 - (-2/3)

=0.66 - (-0.66)

=0.66+0.66

= 1.32

Answer:

I Believe the answer is (3x,-6y)

Step-by-step explanation:

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y) , I hope this helps.

Answer:

I Believe the answer is (3x,-6y)

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y).

48

Step-by-step explanation:

idek I just need tge points so don't put what I put

Answer:

-8

Step-by-step explanation:

1. Simplify

2/3 (9x - 12) -6x —-> 2 (9x - 12) -6x/3

2. Distribute

2(9−12)/3 -6x

18x - 24/3 -6x

3. Find common denominator

18 −24/3 + 3(-6)x/3

4. Combine fractions with common denominator

18−24+3(−6)/3

5. Multiply the numbers

18−24+3(−6)/3 ——> 18−24−18/3

6. Combine like terms

18−24−18/3 ——> -24/3

7. Cancel terms that are in both the numerator and denominator

−24/3

−8

Hope it helps! Have a great day! :D

Answer:

2, 5, 10, 50, 55, 275, 280

Step-by-step explanation:

hope this heled you.. :)