2 years ago

What is the answer to -3(x+4)+15=6-4x

Mathematics

1 answer:

vredina [299]2 years ago

5 0

The answer is -12

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Kensington City Cafe recently introduced a new flavor of coffee. They served 28 grande cups

Dmitrij [34]

Answer:

jumbo 23 oz, grande 16 oz

Step-by-step explanation:

Use g for grande and j for jumbo

The first equation: 28g + 33j = 1207

The second equation: 28g + 53j = 1667

Subtract the first from the second

28g + 53j = 1667

- 28g + 33j = 1207

Equal 20j = 460

j = 23

Put 23 in for j in either equation and solve for g:

28g + 33(23) = 1207

28g + 759 = 1207

28g = 448

g = 16

5 0

2 years ago

-5x +3y +6z=4 -3x + y + 5z=-5 -4x + 2y + z= 13

lozanna [386]

See the attached image for solution:

6 0

3 years ago

Read 2 more answers

In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

-------------------------------------------------------------

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

----------------------------------------------------

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

6 0

3 years ago

Find the midpoint of the segment with the following endpoints. (10, 7) (2, 1)

Alex_Xolod [135]

Answer:

(6,4)

Step-by-step explanation:

Midpoint=((x1+x2)/2 ,(y1+y2)/2)

((10+2)/2 ,(7+1)/2)

(6,4)

x1=10

x2=2

y1=2

y2=1

7 0

2 years ago

The mean number of travel days per year for salespeople employed by three hardware distributors needs to be estimated with a 0.9

bearhunter [10]

Answer:

133

Step-by-step explanation:

7 0

3 years ago