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

Answers

Answer 1

Answer:

  (c)  multiplication property of equality

Step-by-step explanation:

Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.


Related Questions

I need help on this, thank you in advance

Answers

Answer:

65

50

Step-by-step explanation:

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

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. Find CD.

Answers

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.

What is secant and tangent?

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.

To know more about secant and tangent follow

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Which of the ordered pairs are solution to 4+3x=-2y

Answers

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).

help me with this question plz with an explanation

Answers

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.

Based on the information in the table, how much will Henry earn if he worked 7 hours?
A
$48
+
B
$72
С
$9
D
$63

Answers

Answer:

D.

Step-by-step explanation:

Given that(16 watermelons cost $48) which of these are equivalent ratios of number of watermelons to cost in dollars? Choose all that apply. (A) 16:48 B) 3:1 C 1:3 D 48:16 E) 3:9 le 5​

Answers

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.

A can of soup is a cylinder with diameter 7 cm.

The can is 10 cm high

The can is full of soup

soup

The soup is poured into a saucepan.

The saucepan is a cylinder with diameter 12 cm.

Work out the depth of the soup in the saucepan.

Give your answer correct to 1 decimal place.

Answers

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


Anthony wants to get a new TV. He has been working hard as a busboy at the local restaurant and wants
to treat himself to something nice. Today is his lucky day as he finds a 60" TV in stock that he has been
looking for. Unfortunately, it costs $700, and he does not have enough money saved up in order to buy it.
He recently received a credit card and is trying to decide what to do. Should he keep saving money buy it

Answers

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;

1. The final price of the TV is $791.62. Anthony has to work for 70 hours to save enough money to buy the TV3. The number of extra hours of work bussing tables when using his credit card is approximately 9.16 hours.

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:

https://brainly.com/question/13522402

Please help!!!! :) thank you!

Answers

Answer:x-3

Step-by-step explanation:

Arrange in descending order: 101.121, 111.101, 101.112, 110.111

Answers

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,

111.101, 110.111, 101.121, 101.112

Hope it helps :)

-7ab + 6b - 3ab - 4b - 3ab

Answers

the answer is -13ab+2b! hopefully this is right, sorry if it’s not

What is 2/3 – (-2/3)

Answers

Answer:

2/3 - (-2/3)

=0.66 - (-0.66)

=0.66+0.66

= 1.32

Add the following: (i) 2a+b+c, a - b -c, 3a + b​

Answers

Add like terms the answer will be 6a+b+c

What’s the an and the a10

Answers

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

what are the next three terms in the sequence below? 2, 5, 10, 50, ___, ___, ___

Answers

Answer:

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

Step-by-step explanation:

hope this heled you.. :)

The extended warranty on a $885 washer is 15% of the purchase price and lasts for five years. What is the effective cost per year of the extended warranty?
(use a dollar sign and 2 decimal places)

Answers

Answer:

8.85

Step-by-step explanation:

can someone help me with this

Answers

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.

A print shop charges $20 to set up the graphic for printing t-shirts. The store then charges $12 per shirt for purchasing up to 10 shirts. The charge decreases to $10 if a customer purchases 10-20 shirts. If a customer purchases more than 20 shirts, each shirt will cost $7. What will it cost a soccer team to have 15 shirts printed?​right and grab a piecewise function that models the situation answer the question

Answers

Answer:

see below for the piecewise function$170 for 15 shirts

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.

I don’t get this at all ‍♂️

Answers

I wish I could help but I’m struggling myself :(

6x² = 7xy + 20y² where x ˃ 0 and y ˃ 0
Find the ratio x : y

Answers

Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1

((6 • (x2)) - 7xy) - (22•5y2)
STEP
2
:

Equation at the end of step
2
:

((2•3x2) - 7xy) - (22•5y2)
STEP
3
:
Trying to factor a multi variable polynomial

3.1 Factoring 6x2 - 7xy - 20y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (2x - 5y)•(3x + 4y)

Final result :
(2x - 5y) • (3x + 4y)

The oxygen atoms in the thermosphere absorb high-energy solar radiation and convert it into heat energy.
true
false

Answers

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

Which is the sum of two or more different monomials?

Answers

Answer: Polynomial

Step-by-step explanation:

Sarah is 2 inches taller than the quotient of billy’s height and 5. Let b represent Billy’s height. write an expression that represents Sarah’s height

Answers

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

Let b represent Billy’s height.Therefore, the quotient of billy’s height and 5[tex] = \frac{b}{5} [/tex]Sarah is 2 inches taller than the quotient of billy’s height and 5.Therefore, an expression that represents Sarah’s height is [tex]2 + \frac{b}{5} [/tex]

Answer:

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

Hope you could get an idea from here.

Doubt clarification - use comment section.

Glven the function f(x) = (x-2)2 + 13, what is the equation of the new
function if it is translated to the left 5 units and moved down 7 units.

Answers

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?

In Substitution

3+2x-y=0
-3-7y=10X

Answers

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

Can someone please help me with this and I’ll give you a lot of points

Answers

Answer:

C

Step-by-step explanation:

It’s A

Slope intercept form is Y = Mx + b

So the additional hour is being added on

Eva earns $5.50 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 47 hours?

Answers

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

Solve: 2sec(x) 5 = 9 Which equation is equivalent to the given equation?.

Answers

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

Write the equation of the line that is perpendicular to y=3x-6 and passes through the point
x, y
(2,0)

Perpendicular is the negative reciprocal so the slope is -1/3

Need to know b and the full equation

With work please. Thank you!

Answers

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

solve the equation below.

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

Answers

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

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