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3 years ago

14. On Monday, a work group eats at Ava's café,

Mathematics

1 answer:

Talja [164]3 years ago

6 0

Answer:

no. who eat lunch special = 12

no. who eat dessert = 6

Step-by-step explanation:

Let x = no. who eat lunch special

y = no. who eat dessert

(1) 8x + 2y = 108 (2) 6x + 3y = 90

Divide thru by 2 Divide thru by 3

4x + y = 54 2x + y = 30

-2x - y = -30

2x = 24

x = 12 2(12) + y = 30

24 + y = 30

y = 6

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Question 1. If $9,830 is 35% of the budget what is 100% of the budget?

telo118 [61]

Hello from MrBillDoesMath!

Answer:

28086 approx.

Discussion:

Let "x" be the total budget. We are told that

9830 = 35% x => as 35% = 35/100 = 0.35

9830 = 0.35 x => divide both sides by 0.35

x = 9830/ 0.35 = 28086 approx

Thank you,

MrB

6 0

3 years ago

3x + 8y = 28 3x + 2y = 4 Find both the x and y coordinates

umka2103 [35]

Answer:

(- $\frac{4}{3}$ , 4 )

Step-by-step explanation:

Given the 2 equations

3x + 8y = 28 → (1)

3x + 2y = 4 → (2)

Subtracting (2) from (1) term by term will eliminate the x- term

(3x - 3x) + (8y - 2y) = (28 - 4), that is

6y = 24 ( divide both sides by 6 )

y = 4

Substitute y = 4 into either of the 2 equations and solve for x

Substituting into (1)

3x + 8(4) = 28

3x + 32 = 28 ( subtract 32 from both sides )

3x = - 4 ( divide both sides by 3 )

x = - $\frac{4}{3}$

Solution is (- $\frac{4}{3}$ , 4 )

6 0

3 years ago

Read 2 more answers

What is the slope of the line described below? Y-9=15(x-5)

Ksivusya [100]

slope = 15

the equation of a line in ' point- slope form ' is

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

y - 9 = 15(x - 5) is in this form

thus slope = m = 15

3 0

4 years ago

6) 4n - 8 = -2n + 5n 7. 197=8(1-4a)+5a

Mashutka [201]

Answer:

6) n = 8

7) a = 32

3 0

3 years ago

Read 2 more answers

I need help understanding this ASAP PLZ!!!!

MAXImum [283]

Answer:

$x\geq -2$

Step-by-step explanation:

well the values for x are from -2 to ∞

so we can write it as

$x\geq -2$

5 0

4 years ago