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Studentka2010 [4]
3 years ago
7

Ava is buying paint from Amazon. Ava

Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer:

2.625 cups or 21 ounces

Step-by-step explanation:

Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.

She has 28 ounces of white paint. But, you have to convert ounces to cups.

1 cup = 8 ounces

28 ounces ÷ 8 ounces/cup = 3.5 cups

Now set up a ratio.

\frac{0.75}{1} = \frac{x}{3.5}

X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)

Cross multiply and divide.

\frac{0.75}{1} = \frac{x}{3.5}

x = 0.75 × 3.5

x = 2.625 cups

To convert to ounces, multiply by 8.

2.625 cups × 8 ounces = 21 ounces

Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.

Hope that helps.

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Katherine is working two summer jobs, making $16 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she
kipiarov [429]

Answer:

Katherine need to work minimum 10 hours lifeguarding to meet her requirements

Step-by-step explanation:

Given:

Rate for Lifeguarding = $16\ per\ hour

Rate for walking dogs = $6 \ per\ hour

She had worked 2 hours walking dog

Money for walking dogs = Rate for walking dogs\times hours worked=\$6\times2=\$12

she can work a maximum of 15 total hours and must earn at least $160.

Let hours required for lifeguarding be x

Money for life guarding = Rate for walking dogs\times hours worked for lifrguarding= \$16 \timesx=16x

Total Money she must earn = Money for lifeguarding + Money for walking dogs

16x+12=160\\16x=160-12\\16x=148\\x=\frac{148}{16}=9.25 \ hours

Rounding to nearest hour

Katherine need to work minimum 10 hours lifeguarding to meet her requirements

7 0
3 years ago
Simplify the expression -1/2(-5/6 + 1/3)
alexira [117]

Answer: 1/4

Step-by-step explanation:

​​-

5 0
3 years ago
In triangle $ABC$, let angle bisectors $BD$ and $CE$ intersect at $I$. The line through $I$ parallel to $BC$ intersects $AB$ and
Umnica [9.8K]

Answer:

41

Step-by-step explanation:

If you work through a series of obscure calculations involving area and the radius of the incircle, they boil down to a simple fact:

... For MN║BC, perimeter ΔAMN = perimeter ΔABC - BC = AB+AC

.. = 17+24 = 41

_____

Wow! Thank you for an interesting question with a not-so-obvious answer.

_____

<em>A little more detail</em>

The point I that you have defined is the incenter—the center of an inscribed circle in the triangle. Its radius is the distance from I to any side, such as BC, for example.

If we use "Δ" to represent the area of the triangle and "s" to represent the semi-perimeter, (AB+BC+AC)/2, then the incircle has radius Δ/s. The area Δ can be computed from Heron's formula by ...

... Δ = √(s(s-a)(s-b)(s-c)) . . . . where a, b, c are the side lengths

For this triangle, the area is Δ = √38480 ≈ 196.1632 units². That turns out to be irrelevant.

The altitude to BC will be 2Δ/(BC), so the altitude of ΔAMN = (2Δ/(BC) -Δ/s). Dividing this by the altitude to BC gives the ratio of the perimeter of ΔAMN to the perimeter of ΔABC, which is 2s.

Putting these ratios and perimeters together, we get ...

... perimeter ΔAMN = (2Δ/(BC) -Δ/s)/(2Δ/(BC)) × 2s

... = (2/(BC) -1/s) × BC × s = 2s -BC

... perimeter ΔAMN = AB +AC

8 0
3 years ago
please help Which of these numbers is equivalent to 2.4×10 to the 5 power? A. 2,400 B.24, 000 C. 240,000 D. 2,400,000
valentinak56 [21]

Answer:

C

Step-by-step explanation:

● 2.4 × 10^5

10^5 is 100000

● 2.4 × 100000

● 240 000

5 0
3 years ago
Read 2 more answers
This semester, the tuition fee increased to $5,871. If this represents an increase by 14%, what was the original fee?
MissTica
Use a calculator its easy
7 0
2 years ago
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