A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant (here 2) to the previous term.

a27 = -1/2 = a1 + (n-1)×2 = a1 + 26×2 = a1 + 52

a1 = -52 1/2 = -105/2

an = -105/2 + (n-1)×2

Answer:

50²-48²

solve it you will get answer

Answer:

C) 14

Step-by-step explanation:

(Phytogoras theorem)

[tex] {50}^{2} = {48}^{2} + {x}^{2} [/tex]

2500 = 2304 + x^2

2500 - 2304 = x^2

X^2 = 196

[tex]x = \sqrt{196} [/tex]

X = 14

Answer:

Step-by-step explanation:

1) Statements                         Reasons

ABCD is a trapezoid               Given

AD ║ BC                                  bases of trapezoid are parallel

∠AED = ∠CEB                          vertically opposite angles are equal

∠EBC = ∠ADE          alternate interior angles are equal and BD is transversal                

∠ECB = ∠EAD          alternate interior angles are equal and AC is transversal

ΔAED ~ ΔCEB            ∠ECB = ∠EAD & ∠AED = ∠BEC & ∠EBC = ∠ADE

                                all angles are same and their shape is same, so similar

2) hope you can write 2nd one as above two column proof

T is the mid point of QR

U is the mid point of QS

V is the mid point of RS

Definition: The segment of line joining the middle points of two sides of a triangle is called middle segment.

Inference: A middle segment of a triangle is parallel to the third side and its lengths is half the third side's.

so here TU ║ RV and TU = RV  

UV ║ TR and UV = TR

so TUVR becomes a parallelogram

∠TUV = ∠TRV -------->  condition 1

same goes with parallelogram TQUV

∠TQU = ∠UVT ----------> condition 2

same goes with parallelogram TUSV

∠UTV = ∠USV ------------> condition 3

from the above 3 conditions we can say

ΔQRS ~ ΔVUT

3) see the below figure for graph

in both triangles ∠B is common

AC and TS are parallel lines

BC  and BA are transversals

∠C ∠S are equal --> corresponding angles

∠A ∠T are equal ---> corresponding angles

so ΔABC & ΔTBS are similar

Answer:

1/3 or 0.33

Step-by-step explanation:

Hope it helps

LMK if it does and weather it is wrong or right

Answer:

y=2/5x+62/5

Step-by-step explanation:

Step-by-step explanation:

y = 4x + 3

subtract 3 on both sides of equation

y - 3 = 4x + 3 - 3

y - 3 = 4x

divide the equation by 4 on both sides

\frac{y - 3}{4} = \frac{4x}{4}4y−3=44x

x = \frac{y - 3}{4}4y−3

DONE.

Answer:

sorry but i don't know the answer

Answer:

40 years

Step-by-step explanation:

I think 1 score is 20 years

so 2 scores = 2 x 20 = 40 years

I may be wrong so someone check

-Chetan K

Answer:

-14 and -15

Step-by-step explanation:

When you multiply two negative numbers together, it will equal a positive number

Step-by-step explanation:

We have,

We've to find the amount shared and what each of them received.

★ Amount Shared = Amount received by Edwin + Amount received by Franklin ★

As, Edwin and Franklin share money in the ratio 3:7. So, let's say that,

Also, Franklin received $20 more than Edwin. So,

→ Amount received by Franklin = 20 + Amount received by Edwin

→ 7x = 20 + 3x

Solving the equation further.

→ 7x - 3x = 20

→ 4x = 20

→ x = 20/4

→ x = 5

Hence,

→ Amount received by Edwin = $ 3x

→ Amount received by Edwin = $ 3(5)

→ Amount received by Edwin = $ 15 [Ans]

And,

→ Amount received by Franklin = $ 7x

→ Amount received by Franklin = $ 7(5)

→ Amount received by Franklin = $ 35 [Ans]

Lastly,

→ Total amount shared = 3x + 7x

→ Total amount shared = $35 + $15

→ Total amount shared = $50 [Ans]

Answer:

(1, −2)

Step-by-step explanation:

−3x + 1 = 2x − 4

−5x + 1 = − 4........subtract 2x from both sides

-5x = -5.................subtract 4 from both sides

x  = 1.......................divide both sides by - 5

now that you have x value find y by plugging in the x value in either one of the equations (I'll be using y = -3 +1)

y = -3(1)+1

y = -3+1.............multiply

y = -2................add

Answer:

a(5+b)

5a+ab

Step-by-step explanation:

Answer:

5a + ab

Step-by-step explanation:

a(5 + b)

Times a by 5 and by b

5a + ab

Answer:

Answer is 5

Step-by-step explanation:

I don't what the problem is ;-; not sure

5x3-x=10

Answer:

10

Step-by-step explanation:

Answer:

the length and width of rectangle could be (3cm and 7 cm ) & (1cm and 21cm) respectively.

Answer:

240

Step-by-step explanation:

To find a common denominator, you have to find a number that is a multiple of all the denominators there. So with 240, 240 divide 3 is 80, so that's a multiple, 240 divide 8 is 30, so that is also a common multiple, and 240 divide 10 is 24, so that is also a common multiple.

Total up the Consumption,Investment, Government Spending and Exports then minus the Total Imports. So the correct answer is C. $4,100

Answer:

58

Step-by-step explanation:

28

+30

58

that is the answer

Answer:

I will clear you.

Step-by-step explanation:

or,x/3-2<4

or,x/3<4+2

or,x<6/3

or,x<2

Answer:

x < 18

Step-by-step explanation:

You solve it like an equation.

First, isolate the x-value to one side by adding 2 to each side:

x/3 - 2 + 2 < 4 + 2

The twos on the left side cancel out:

x/3 < 6

Now multiply both sides by 3:

x/3 x 3 < 6 x 3

The threes on the left side cancel out, leaving you with the x-value:

x < 18

Hope this makes sense :)

Answer:

Step-by-step explanation:

- 2x > 17

x < 17 ÷ ( - 2 )

x < - 8.5

x ∈ ( - ∞ , - 8.5 )

The greatest integer that satisfies the inequality is ( - 9 )

Answer:

The answer is C

Step-by-step explanation:

I know this because if you 5 plus 3 is 8 right not the other ones so if you just add zero's it will be 50 plus 30 and then that will equal 80 so it is for every 5 question's he got 3 wrong.

Hope this helps ('o')

Given : In the recent maths test, Jeremy answered 48 questions correct out of 80 total questions. Which statement is correct ?

Solution :

As we know that total no. of questions is 80

Now, as per the options we get 80/5 = 16

However the third option seems to be the accurate as 3(16) = 48

So, we get to know that option C is correct

Answer:

x=43.25

Step-by-step explanation:

this is a isosceles triangle so the other angle is also x

2x+93.5=180

2x=86.5

x=43.25

Answer:

hello!

Step-by-step explanation:

i had a nice day i hope you did too :)

Step-by-step explanation:

that is so simple, it is already difficult to make it formal, because there are only so few things to deal with. you really need help with this ?

you are not familiar with the situation "hey, this costs $10, we are 5 people, if we buy and then use it together, each one has to pay $2" ?

and this is just the other way around : if 5 people paid $2, how much did they pay together ? $10.

let's make it super formal :

price p = Allen contribution a + brother1 contribution b + brother2 contribution c

p = a + b + c

a = b = c = $32.30

p = $32.30 + $32.30 + $32.30 = 3×$32.30 = $96.90