If Paris has 18 cups of pretzels how many cups of nuts does she need

PLEASE SHOW WORK A coffee distributor needs to mix a(n) Gualtemala Antigua coffee blend that normally sells for $10.30 per pound

Katarina [22]

Answer:

23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend

Step-by-step explanation:

you need to make a system of equations to solve this.

First lets make x be the pounds of Gualtemala Antigua coffee blend and y the pounds of Tanzanian coffee blend

we know we need 60 pounds total so first equation is

x+y=60

Next we will make an equation based on the money information

10.30x + 13.80y = 12.46(60)

10.30x + 13.80y = 747.60

So our system of equations is

x + y = 60

10.30x + 13.80y = 747.60

I will solve this by using substitution. first rewrite x+y=60 to y=60-x

now i can substitute that into the other equation for y and solve for x

10.30x + 13.80(60-x) = 747.60

10.30x + 828 -13.80x = 747.60

-3.5x + 828 = 747.60

-3.5x = -80.4

x = 23 (rounded from 22.9714 since they requested that)

now I can use this solution to solve for y by plugging into one of the original equations

x + y =60

23 + y =60

y = 37

Finally we can say that they must mix 23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend.

5 0

3 years ago

Get the general term for the sequence being your t3 = 11 and the t20 = 244.2

marusya05 [52]

Answer:

nth term = $t_{n} = 7.639(1.2)^{n - 1}$

Step-by-step explanation:

Let us assume that the given sequence is a G.P.

Now, if the first term of the G.P. is a and the common ratio is r, then

Third term = $t_{3} = ar^{2} = 11$ .......... (1) and

20th term = $t_{20} = ar^{19} = 244.2$ ........... (2)

Now, dividing equation (2) with equation (1) we get

$\frac{ar^{19} }{ar^{2} } = \frac{244.2}{11} = 22.2$

⇒ $r^{17} = 22.2$

⇒ r = 1.2.

Hence, from equation (1) we get

a(1.2)² = 11

⇒ a = 7.639 (Approx.)

Therefore, the general term of the sequence i.e. nth term = $t_{n} = 7.639(1.2)^{n - 1}$ (Answer)

5 0

3 years ago

Four times a number<br> decreased by ten is 34.<br> Write an equation & solve.

igomit [66]

4x - 10 = 34
4x +10 +10
4x = 44
4x/4 = 44/4
x = 11

5 0

4 years ago

Translate this sentence into an equation. The product of Rick's height and 4 is 64 . Use the variable r to represent Rick's heig

777dan777 [17]

The equation is r x 4 = 64 , then you do 64 / 4 = 16. So 16 is ricks height.

4 0

3 years ago

The temperature on the side of a space shuttle that faces the sun is +250°C. The temperature on the shaded side is -130°C. What

Evgesh-ka [11]

Answer:

380º

Step-by-step explanation:

Since the shaded side is in the negative and the sun side is positive and you're trying to find the difference between them, first you try to get the negative number to be positive. So add 130 to -130 to get 0. Then add another 250º to equal the two amounts. Now since they are equal, add the numbers that you used to get the two numbers to be the same: 130+250 = 380

7 0

3 years ago