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3 years ago

What is the solution of this linear system? A. B. C. D. E.

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

Only B (14,10,8) satisfies all three equations.

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Thomas uses 8 ounces of sugar to make 36 fluid ounces of lemonade, how many ounces of sugar will he use?

sergij07 [2.7K]

Answer:

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

Theodore needs to mix a 30% alcohol solution with a 50% alcohol solution to create 100 milliliters of a 32% solution. How many m

Goryan [66]

Answer:

50 % alcohol solution = 10 millimetres

30 % alcohol solution = 90 millimetres

Step-by-step explanation:

two equations can be derived from this question

x + y = 100 equation 1

0.3x + 0.5y = 100 x 0.32 = 32

0.3x + 0.5y = 32 equation 2

where :

x = 30% alcohol solution

y = 50% alcohol solution

multiply equation 1 by 0.3

0.3x + 0.3y = 30 equation 3

subtract equation 3 from 2

0.2y = 2

y = 10

substitute for y in equation 1

x + 10 = 100

x = 100 - 10

x = 90

5 0

3 years ago

What is the exact value for the expression the square root of 56. − the square root of 14. + the square root of 126.? Simplify i

solong [7]

Factor a square root of 14 out of every expression to get:

$\sqrt{14}*(\sqrt{4}-1+\sqrt{9)$

$\sqrt{14}*(2-1+3)$

$4*\sqrt{14}$

Thus, the expression is equal to four times the square-root of 14. The second answer is correct.

8 0

3 years ago

ASAP HELP PLEASE! I WILL MARK THE FASTEST CORRECT ANSWER BRAINLIEST<br> see attached

V125BC [204]

Answer:1.1 ft^2

Step-by-step explanation:

Φ=55°

Radius=r=4

π=3.14

Area of segment=area of sector - area of triangle

Area of sector=Φ/360 x π x r x r

area of sector=55/360 x 3.14 x 4 x 4

Area of sector=(55x3.14x4x4) ➗ 360

Area of sector=2763.2 ➗ 360

Area of sector=7.7 ft^2

Area of triangle=0.5 x r x r x sinΦ

Area of triangle=0.5 x 4 x 4 x sin55

Area of triangle=0.5 x 4 x 4 x 0.8192

Area of triangle=6.6 ft^2

Area of segment=area of sector - area of triangle

Area of segment=7.7-6.6

Area of segment=1.1 ft^2

4 0

4 years ago

A car cost $18,000, which is 9/10 of the cost of an apartment. A motorcycle cost 1/5 of the cost of the apartment or 4/5 of the

blagie [28]

Answer:

$1500

Step-by-step explanation:

let the cost of the apartment = x

Hence the cost of the car is $\frac{9}{10} \times x$

also given the cost of car=18000

Hence

$18000= \frac{9x}{10}$

$x= \frac{18000 \times 10}{9}$

$x= 2000 \times 10$

$x= 20000$

Motorcylce cost = $\frac{1}{5}$ of Cost of apartment

= $\frac{1}{5} \times 20000$

= $4000$

Also Motorcylce cost= $\frac{4}{5}$ of the cost of 100 soccer balls.

Hence

4000= $\frac{4}{5}$ x (cost of 100 soccer balls.)

(cost of 100 soccer balls.)= $\frac{4000 \times 5}{4}$

(cost of 100 soccer balls.)= $1000 \times 5$

cost of 100 soccer balls= $5000$

cost of 1 soccer balls = $\frac{5000}{100}$

cost of 1 soccer balls = 50

cost of 30 soccer balls = 50 x 30

cost of 30 soccer balls = 1500

Hence the cost of 30 balls is $1500

4 0

4 years ago