In a fruit punch you mix 150 ml of lemonade with 250 ml of fruit juice. Write the ratio of the volume of lemonade to the volume of fruit juice. Give your ratio in its simplest form.

Answer:

a=10, b=5, c=2, d=12

Step-by-step explanation:

Multiply each variable together

5*2=10

8*3=24

10[tex]x^{3}[/tex][tex]y^{2}[/tex]/24x

the coefficients (numbers) can each be divided by 2

5[tex]x^{3} y^{2}[/tex]/12x

subtract the "x" exponents together

5[tex]x^{2} y^{2}[/tex]/12

Answer:

Rectangle

Parallelogram

Step-by-step explanation:

The ratio 3:1:3:1 shows that lengths of opposite sides of the quadrilateral are equal.

So, the possible names for the quadrilateral are rectangle, parallelogram.

Answer:

33

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

the answer is $7 for a 4 mile ride

Nasim pays $7 for 4 miles.

For miles the taxi charges are (3+ m).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

The taxi charges $3 just for the pickup and then an additional $1 per mile driven.

let the taxi drive total x miles then the charges will be

P = 3 + x

Now, for 4 miles put the value of x = 4.

So, P = 3 + 4

P = $7

and, For m miles ride the taxi would cost

P= 3 + m.

Learn more about Equation here:

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Answer:

At the point where x = 2.

Step-by-step explanation:

First find the derivative which gives us the gradient of the tangent at any point on the curve:

y = 5x^2 - 16x

y' = 5*2 x^(2-1) - 16 x(1-1)

y' = 10x - 16.

y' is the gradient at point of coordinate x.

So when the gradient = 4:

4 = 10x - 16

10x = 20

x = 2.

Answer:

x=2

Step-by-step explanation:

Answer:

18 is 40% of 45

23% of 20 is 4.6

24.390243902439025

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

There are two 1/2 miles in a mile. this means there are 12 half miles in 6 miles. So take 60*12 to get 720.

Answer:

x is smaller than 10in so x<5

Step-by-step explanation:

Answer:

I would say 7, because if you think about you would know that your answer is 7

Given:

The equation is

[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]

To find:

The simpler equivalent form and solve the given equation.

Solution:

We have,

[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]

It can be written as

[tex]\dfrac{3x+2}{7}=2[/tex]

Multiply both sides by 7.

[tex]3x+2=14[/tex]

[tex]3x=14-2[/tex]

[tex]3x=12[/tex]

Divide both sides by 3.

[tex]x=\dfrac{12}{3}[/tex]

[tex]x=4[/tex]

Therefore, the simpler equivalent form of the given equation is [tex]3x+2=14[/tex] and the solution is x=4.

Answer:

Step-by-step explanation:

These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.

The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:[tex]\sqrt{2\\}[/tex], so I have to divide the hypotenuse by [tex]\sqrt{2\\}[/tex] to get the legs. The hypotenuse is 15[tex]\sqrt{6}[/tex], so that divided by [tex]\sqrt{2\\}[/tex] is 15[tex]\sqrt{3\\}[/tex]. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15[tex]\sqrt{3\\}[/tex].

The second triangle is a 30 60 90 degree triangle, so the ratio is x:x[tex]\sqrt{3}[/tex]:2x. The short leg is 7[tex]\sqrt{3}[/tex], so 7[tex]\sqrt{3}[/tex] * 2 is the hypotenuse, which is 14[tex]\sqrt{3}[/tex]. The long leg is 7[tex]\sqrt{3}[/tex] * [tex]\sqrt{3}[/tex], which is 21. So, x for the second triangle is 14[tex]\sqrt{3}[/tex], and y for the second triangle is 21.

Answer:

Question 9: x = [tex]15\sqrt{3}[/tex], Question 10: y = [tex]15\sqrt{3}[/tex], Question 11: x = [tex]14\sqrt{3}[/tex], Question 12: y = 21

Step-by-step explanation:

Question 9-10: Right triangles with 45°, 45°, 90° have a special rule, the legs of the triangle are equal, so x = y. Now you can form the statement [tex]2x^2 = 1350[/tex], and because x = [tex]15\sqrt{3}[/tex], so does y.

Question 11-12: Right triangles with 30°, 60°, 90° also have a special rule, the side corresponding to 30° is half the length of the hypotenuse and the side corresponding to 60° is [tex]\sqrt{3}[/tex] times as great as the 60°. x is 2 times as big as [tex]7\sqrt{3}[/tex], so its length is [tex]14\sqrt{3}[/tex]. Y is [tex]\sqrt{3}[/tex] as great as [tex]7\sqrt{3}[/tex], so its length is 21.

Answer:

1/20

Step-by-step explanation:

P(red,red) = 4/16 x 3/15 = 1/4 x 1/5

Answer:

6/24

5/24

Step-by-step explanation:

count how many cards there are(24) then Find out how many red cards there are(4/24=6

Answer:

ima guess $262.50

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

The cost of

1 slice of pizza = x = $1.75

1 diet pepsi = y = $1.25

Step-by-step explanation:

Let us represent:

The cost of

1 slice of pizza = x

1 diet pepsi = y

Tyler bought two pieces of pizza and three diet Pepsi for $7.25

2x + 3y = 7.25.......Equation 1

Scotty but four pizzas and a diet Pepsi for $8.25

4x + y = 8.25......Equation 2

Combining the Equations

2x + 3y = 7.25.......Equation 1

4x + y = 8.25......Equation 2

y = 8.25 - 4x

We substitute 8.25 - 4x for y in Equation 1

2x + 3(8.25 - 4x) = 7.25

2x + 24.75 - 12x = 7.25

Collect like terms

24.75 - 7.25 = 12x - 2x

17.5 = 10x

x = 17.5/10

x = $1.75

Solving for y

y = 8.25 - 4x

y = 8.25 - 4(1.75)

y = 8.25 - 7

y = $1.25

Therefore,

The cost of

1 slice of pizza = x = $1.75

1 diet pepsi = y = $1.25

Answer:

cos0 = 1

sin30= 1/2

tan0 = 0

Answer:

[tex]a) cos0^o = 1\\b) sin30^o = \frac{1}{2} \\c) tan0^o =0[/tex]

Answer:

Step-by-step explanation:

1 ounce = 28.3 gm

2 ounce =x

x =2*28.3

x = 56.6 gm  

Answer:

I believe the answer is 8.

B i think i am sorry if it is not right but i am pretty sure i am right tho

Answer:

90.2

Step-by-step explanation:

thx for the follow!!!

Answer:

105.8 is the answer

Step-by-step explanation:

105.8

Answer:

31.42

Step-by-step explanation:

equation for solving is C= π d

circumference is  π x diameter

so therefore the new equation is π x 10

3.14 (π) x 10 (d) = 31.42

Answer:

I can't see the picture it's a black screen

Answer:

120

Step-by-step explanation:

use a calculator (if you have one )

Answer:

because they wanted to i guess

Step-by-step explanation:

Answer:

Determine your COGS (cost of goods sold). ...

Find out your gross profit by subtracting the cost from the revenue. ...

Divide profit by COGS.Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 12%/100 = 0.12 per year,

then, solving our equation

I = 3900 × 0.12 × 0.25 = 117

I = $ 117.00

The simple interest accumulated

on a principal of $ 3,900.00

at a rate of 12% per year

for 0.25 years is $ 117.00.