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Answer:

$50

Step-by-step explanation:

Make the equation where x is the original price:

x - 0.2x = 40

Combine like terms

0.8x = 40

Divide both sides by 0.8

40/0.8 = 50

Answer:

30 boxes of tea

Step-by-step explanation:

27 (overall tea boxes) - 12 (boxes sold) = 15

15 (leftover boxes) x 18 (kg of each box) = 270

270 (overall kg of the boxes) divided by 9 (kg of the bags) = 30, so all the tea boxes can be placed into the bags

Answer:

7

Step-by-step explanation:

Answer: A) 6 in^2

First, you need to find the length of the base.

a = 3, b = ?, c= 5

Using Pythagorean Theorem*: a^2 + b^2 = c^2

b^2 = c^2 - a^2

b^2 = 5^2 - 3^2

b^2 = 25 - 9

b^2 = 16 (square root both sides)

b = 4

Now, you have to find the area using the area of a triangle formula: A = (bh)/2

A = (bh)/2

A = (4·3)/2

A = 12/2

A = 6 in^2

Pythagorean Theorem is used for this question since it's a right triangle.

Answer: A) 6in^2

Step-by-step explanation:

base = 4 in

height = 3 in (pythagorean theorem)

A = (bxh)/2 = (4x3)/2 = 12/2 = 6 in^2

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

9514 1404 393

Answer:

  10

Step-by-step explanation:

Let L and T represent the initial amounts that Leo and Theo had. Let n represent the number of bills exchanged in the first exchange. Then we have ...

  L -20n +50n = T -50n +20n . . . . after the first exchange, each has the same

After the second exchange, amounts trade places:

  (L +30n) +6(50) = T

Substituting this into the first equation, we get ...

  L +30n = ((L +30n) +300) -30n

  30n = 300

  n = 10

Leo gave Theo ten $20 bills.

_____

Comment on the amounts

Theo started with $600 more than Leo, including exactly 16 $50 bills. Leo had at least 10 $20 bills, so he could make the initial exchange. Whatever initial amount Leo had in excess of that $200 was matched in Theo's initial amount, but Theo must have had that excess in $20 bills only. For example, Leo may have started with $300 as 10×$20 +2×$50, but Theo's initial $900 would need to be 5×$20 +16×$50.

x=64Step-by-step explanation:

Answer:

105

Step-by-step explanation:

9 + (1/2)4 x 48

9 + 96 = 105

Answer:

105

Step-by-step explanation:

SO, based on the way you worded it, the equation is

[tex]9 + 1/2 *4*48[/tex]

You multiply [tex]1/2 * 4[/tex] first.

This gives you 2.  [tex]2*48=96[/tex]

96 + 9 =105

Answer:

30 pounds

Step-by-step explanation:

take the 21 pounds and divide it by 0.7

Answer:

30

Step-by-step explanation:

[tex]21 / 0.7=30[/tex]

Check

30 x 0.7 = 21

Answer:

y+3 = -2(x-4)

Step-by-step explanation:

The point slope form of a line is

(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y- -3 = -2 (x-4)

y+3 = -2(x-4)

Answer:

Jamarcus is the better shooter

Step-by-step explanation:

Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50

Answer:

Tyrell

Step-by-step explanation

Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter

Answer:

Maximum amount of toppings is 14 inequality is t <=14

Step-by-step explanation:

let t be the amount of toppings on the pizza

0.75t + 2 <= 12.50

0.75t <= 10.50

t <= 14

Answer:

$2 more.

Step-by-step explanation:

In this question, we have to find how much more money Victoria is saving.

We know that Jacob saved $174 in 3 months.

We also know that Victoria saved $360 in 6 months.

Lets find how much money they save per month:

Jacob:

174 ÷ 3 = 58

Victoria:

360 ÷ 6 = 60

Jacob is saving $58 per month and Victoria is saving $60 per month.

This means that Victoria is saving $2 more than Jacob per month.

Answer:

2

Step-by-step explanation:

multiply by 2 and then divide by 6

Answer:

7/2

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

2 × 3 = 6

Step 2

Add the answer from Step 1 to the numerator

6 + 1 = 7

Step 3

Write answer from Step 2 over the denominator

7/2

the improper fraction form of 3 1/2 is 7/2.

To convert the mixed number 3 1/2 to an improper fraction, we first multiply the whole number (3) by the denominator (2) and add the numerator (1). This gives us 3 * 2 + 1 = 7 as the new numerator. The denominator remains the same, which is 2. So, the improper fraction form of 3 1/2 is 7/2.

In this fraction, the numerator (7) represents the total number of parts we have, while the denominator (2) represents the size of each part. Therefore, 3 1/2 is equivalent to the improper fraction 7/2.

Learn more about improper fraction here

https://brainly.com/question/21449807

#SPJ6

Answer:

D. No solution

Step-by-step explanation:

correct on edg unit test review, hope that helped!

Answer:

8.5

Step-by-step explanation:

Answer:

14 more meters

Step-by-step explanation:

6 times square (4) = 24

24-10 = 14

Step-by-step explanation:

The area of a circle is given by :

A = πr²

r is the radius of the circle

(4) Diameter = 22 cm

Since, radius = diameter/2

r = 11 cm

Now, area of the circle,

[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]

(5) Diameter = 30 cm

Since, radius = diameter/2

r = 15 cm

Now, area of the circle,

[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]

(6) Diameter = 4cm

Since, radius = diameter/2

r = 2 cm

Now, area of the circle,

[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]

So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.

Answer: 30

Step-by-step explanation:

50x .4 = 20

50-20=30

Answer:

Yes.

Step-by-step explanation:

3.5 + 5.5 > 7.8

Answer:

2 days

Step-by-step explanation:

Step one:

let the number of days be x

and the total height be y

​Plant A is 6 cm tall and growing at a rate of 4 cm per day.

the total height is

y=6+4x------------1

Plant B is 10 cm tall and growing at a rate of 2 cm per day.​

y=10+2x-----------2

Required

time taken for both plants to have the same height

Step two:

equate the two equations to find when the plants will have the same height

6+4x=10+2x

collect like terms

4x-2x=10-6

2x= 4

divide both sides by 2

x= 4/2

x= 2 days

Answer:

More students have hazel eyes than blue.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C.16, 32, 38, 39, 41, 42, 58

and

E.18, 30, 34, 38, 43, 45, 68

its C. & E.

they both have outliers lol

Answer:

j=13

Step-by-step explanation:

The equation for this problem is 7j=91.

I would divide 7 on both sides, which would be j=13.

Answer:

I do not know what you just said so I assume your asking if 3 is less than 5 and yes 3 is less than 5

Answer:

10

Step-by-step explanation:

Bro, again the same question))

a>17-8

a>9

Answer:

[tex](f-g)(x)=2x-3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

By substitution:

[tex]=(3x-1)-(x+2)[/tex]

Simplify. Distribute:

[tex]=(3x-1)+(-x-2)[/tex]

Rearrange:

[tex]=(3x-x)+(-1-2)[/tex]

Therefore:

[tex](f-g)(x)=2x-3[/tex]

Answer:

There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.

Step-by-step explanation:

hope this helps