Find the missing length. The triangles in each pair are similar.

Answer:

21

Step-by-step explanation:

The amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we can assume that:

Then, as the total weight of the mixture is 5 lb, thus:

[tex]x + y = 5[/tex]

18% jasmine in 5 lb of mixture = 20% jasmine in x lb of first tea + 15% jasmine in y lb of second tea

Comparing in terms of weight, we get:

[tex]\dfrac{5}{100}\times 18 = \dfrac{x}{100} \times 20 + \dfrac{y}{100} \times 15\\\\90 = 20x + 15y\\18 = 4x + 3y[/tex]

Thus, we get a system of two linear equations as;

[tex]x + y = 5\\4x + 3y =18[/tex]

From first equation,  getting x in terms of y:

[tex]x = 5 -y[/tex]

Substituting this in second equation, we get:

[tex]4(5-y) + 3y = 18\\20-4y + 3y =18\\y = 2\\[/tex]

Putting this value in expression for x, we get:

[tex]x = 5-y = 5-2 = 3[/tex]

Thus, the amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

Learn more about solutions of a system of linear equations here:

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Answer:

c

Step-by-step explanation:

Answer:

triangle y= -3, triangle x= 5 M= -1 1/2

Step-by-step explanation:

actually I used the app that my teacher gave me in 7th grade so I'm gonna give it to you Just look up slope calculator and it says OMNI calculator

Answer:

C: 9

Step-by-step explanation:

The highest power in the polynomial is 9.

Answer:

(3,6)

Step-by-step explanation:

If the starting point is the dot then we start from there - (4,4) then we go up 2 units at (4,6) then moving one unit to the left our answer is (3,6).

Answer:

468.75

Step-by-step explanation:

Multiply the sales by the commision as a decimal to get the commission, in this case, 1875 * 1/4 = 468.75.

Answer:

$468.75

Step-by-step explanation:

25/100=x/1875         Equation

25×1875=46,875        Cross multiply

46,875÷100=$468.75      Divide the quotient by 100 pecent

x=$468.75    

Answer: V=πr2h=π·22·7≈87.96459in³

Step-by-step explanation:

Answer:

6(x/2 + 4)>9

x/2 + 4 > 9/6

x/2 + 4 > 3/2

x/2 > 3/2 - 4

2*(x/2) > 2*(3/2 - 4)

x > 3 - 8

x > - 5

Step-by-step explanation:

Answer:

X>-5

Step-by-step explanation:

Can i get brainiest please

Addition and multiplication are associative for rational numbers. Subtraction and division are not associative for rational numbers.

Answer:

Yes

Step-by-step explanation:

Answer:

Diameter of the circle = 5.0 unit

The length of the chain = 40 units

Step-by-step explanation:

Given

Number of thin gold circles used for making bracelet is equal to 8

Radius of the circle = 2.5 units

Diameter of the circle = 2 * Radius of the circle

Diameter of the circle = 2 * 2.5 = 5.0 unit

The length of the chain = 8 * diameter = 8 * 5 = 40 units

Answer:

c. 424 inches squared

Step-by-step explanation:

Surface Area = 2(Length x Base, Length x Height, Base x Height)

8 in. x 4 in. +

8 in. x 15 in. +

15 in. x 4 in. =

212 in.

212 in. x 2 = 424 in. squared (*REMEMBER TO SQUARE IT!!)

I hope this helped! <3

Answer:

the trid one becasue

Step-by-step explanation:

To get the correct answer, you can count the total number of shaded tenths and the total number of shaded hundredths and then regroup.

There are 9 shaded tenths and 18 shaded hundredths. Regroup 10 hundredths into 1 tenth to get 10 tenths and 8 hundredths. Then regroup the 10 tenths in one whole, giving you 1 whole and 8 hundredths. The product is 1.08.

Another way to get the answer is to count the total number of shaded hundredths. There are 108 hundredths. Regroup 100 of them as one whole, giving you 1 whole and 8 hundredths.

Option A is correct, the product of (√14 - √3) (√12+√7) is 2√42-7√2-6-√21

An expression is combination of variables, numbers and operators.

We need to find the product of (√14 - √3) (√12+√7)

Let us apply distributive property to solve this

√14(√12+√7)  - √3(√12+√7)

√14.√12 + √14√7 -√3√12-√3√7

√168 + √98 -√36 -√21

168 can be written as 4 times of forty two.

98 can be written as forty nine times of 2.

So we get

2√42-7√2-6-√21

Hence, Option A is correct, the product of (√14 - √3) (√12+√7) is 2√42-7√2-6-√21

To learn more on Expressions click:

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#SPJ7

Answer:

c(d) = 4 + 6(d - 1)

Step-by-step explanation:

Let

d = number of days Danny washed cars

Day 1 = 4 cars

Other days after day 1 = 6 cars

Function that models the total number of cars, c(d), Danny has washed after d days?

c(d) = 4 + 6(d - 1)

Answer:

10 quarters and 15 pennies

Answer:

$33.72

Step-by-step explanation:

$13.86 + $3.00 + $13.86 + $3.00

$33.72

Answer:

7.5 inches

Step-by-step explanation:

9ft 3in - 1ft 10in = 7.5 inches

hope this helps :)

Answer:

Step-by-step explanation:

Perimeter of a triangle equals side 1 plus side 2 plus side 2

           P = s1 + s2 + s3                 side 1 = side 2 =  x

                                                     x/side 3 = 5 / 3

                                                     x  = (5/3) side 3

                                                     x (3/5)  = side 3

                                                     perimeter = 65    slove for x

          65  = x + x + 3x/5

         325  = 5x + 5x + 3x

         325  = 13X

          25   = x    equal side 1 and side 2  

          side 3 = 25(3/5)  = 15

Answer:

d

Step-by-step explanation:

A. 2x + 3y = −6

B. 3x − 2y = 6

C. 3x − 2y = 12

D. 2x − 3y = 18

Answer:

y=-2x+11

Step-by-step explanation:

Slope-intercept form is y=mx+b.

Slope is rise/run, which is y2-y1/x2-x1. Using these points, that's (13-5)/(-1-3). This is 8/-4, or -2.

You can plug this into y=mx+b to get y=-2x+b.

To solve for b, you can use one of the original points and plug it back into the formula:

y=-2x+b

5=-2(3)+b

5=-6+b

b=11

So, putting it all together, you get y=-2x+11.

Let m = slope

m = (13 - 5)/(-1 - 3)

m = 8/-4

m = -2

Now use the point-slope formula.

Here is the formula: y - y_1 = m(x - x_1).

y - 5 = -2(x - 3)

y - 5 = -2x + 6

y = -2x + 6 + 5

y = -2x + 11

Done.

Answer:

Triangle YZX

Step-by-step explanation:

I put it in that order because L in triangle NLM is 42 and Z in triangle YZX is also 42.

Best of luck in school!                                                                        

Answer:

i believe C is correct :)

Answer:

The answer you got was correct.

Step-by-step explanation:

Predation means the preying of one animal on others,or more simplified,the action of attacking or plundering.

Answer:

5.1

Step-by-step explanation:

Answer:

$21.96

Step-by-step explanation:

Total money with Mr. Rosas = $90

Total cost of chips = 36*0.69 = $24.84

Total cost of juices = 36*1.20= $43.2

Total money spent = $24.84 + $43.2 = $68.04

Money left with Mr. Rosas

= $90 - $68.04

= $21.96

Answer:

40⁰ C

Step-by-step explanation:

As long as the number is higher than 38⁰ C, it is a valid answer. as long as its not anything crazy like 111846284⁰ C. But anything around 40⁰ C would be a valid answer as long as the temperature is higher. mass doesn't matter. They are trying to trick you with the question lol