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scoundrel [369]
2 years ago
15

A formula for 6 gallon of light green paint use 3/8 gallons of white paint. Liam has 9/16 gallon of white paint. Does liam have

enough white paint to make 8 gallons of light green paint? If not, how many more does he need?
Mathematics
1 answer:
FromTheMoon [43]2 years ago
3 0

Answer:

Yes he have enough white paint.

Step-by-step explanation:

We are given

6 gallons of light green paint use → \frac{3}{8} gallons of white paint

using the unitary method

1 gallons of white paint → 6*8/3 gallons of light green paint

                                        → 16 gallons of light green paint

but Liam have 9/16 gallons of white paint

9/16 gallons of white paint → 16* 9/16 gallons of light green paint

                                             → 9 gallons of light green paint

Yes Liam have enough white paint to make 8 gallons of light green paint.  

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3.4.4 Journal: Exponential vs. Quadratic
zysi [14]

Answer:

what's the question your asking for?


5 0
2 years ago
The product of two consecutive negative integers is 600. What is the value of the lesser integer?
Kryger [21]
Let's say the first number is -a, so "a" will be some positive value, and we multiply -1 to it, we get the -a

a consecutive number from it, is either, ahead or before it, so, -a + 1 or -a -1, is a consecutive integer, hmm let's use -a + 1 then

so, the two numbers are -a and -a + 1

we know their product is 600

\bf (-a)(-a+1)=600\implies a^2-a=600
\\\\\\
\begin{array}{lcclll}
a^2&-a&-600=0\\
&\uparrow &\uparrow \\
&-25+24&-25\cdot 24
\end{array} \implies (a-25)(a+24)=0
\\\\\\

\begin{cases}
a-25=0\implies &\boxed{a=25}\\
a+24=0\implies &a=-24
\end{cases}

we use the positive one, because we're using -1 in front of the "a"

what's the lesser integer? well, what's  -a+1?  which one is lesser?
7 0
2 years ago
Read 2 more answers
A golden rectangle is 32cm long.The ratio of length to width is (1 + square root of 5) :2. What is the width of the rectangle in
zhannawk [14.2K]

Answer:

Width = 16(√5) - 1

Step-by-step explanation:

We are told that the golden rectangle is 32 cm long.

Thus, length = 32 cm

We are also told that the ratio of the length to the width is; (1 + √5):2

Thus;

If a length of (1 + √5) yields a width of 2

Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)

So corresponding width = 64/(1 + √5)

We want to reduce this width to it's simplest radical form which means the denominator should have no square root.

Thus, let's multiply top and bottom by (1 - √5);

Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]

Width = 64(1 - √5)/(1 - 5)

Width = 64(1 - √5)/(-4)

Width = -16(1 - √5)

Width = 16(√5 - 1)

Width = 16√5 - 1

8 0
2 years ago
Your mayor just announced that the local unemployment rate dropped last month from the prior month. it went from 10.5% to 10.4%.
Lapatulllka [165]
It is a drop, but by only 0.1%. It isn't a significant drop. The average city has a population of about 20,000 people. 10.5 percent of 20,000 is 2,100. 10.4 percent of 20,000 is 2,080. So, it really isn't a significant drop.
Even if a city had a much larger population, it would still be a very small drop compared to the overall population.

8 0
2 years ago
the members of the gardening group plan to build a walkway through the garden as formed by the IHOP potenuse of each of the four
aliya0001 [1]

Answer:

50.24 yards

Step-by-step explanation:

We will use the pythagorean theorem to find hypotenuse of each of the 4 triangles.

Pythagorean Theorem is Hypotenuse^2=OneLeg^2+AnotherLeg^2

For Spinach area, two of the legs are 8 and 6. Solving for hypotenuse:

hyp^2=6^2+8^2\\hyp^2=100\\hyp=10

For watermelon area, two of the legs are 12 and 8. Solving for hypotenuse:

hyp^2=12^2+8^2\\hyp^2=208\\hyp=\sqrt{208}

in red peppers area, the hypotenuse is already given as 15. But we need to find one leg since that will be the leg of the triangle in tomatoes area. Hypotenuse is 15 and one leg is 12, so the other leg is:

15^2=12^2+eg^2\\15^2-12^2=leg^2\\leg=9

So, in tomatoes area, we have one leg 9 and another leg 6. Solving for hypotenuse:

hyp^2=9^2+6^2\\hyp^2=117\\hyp=\sqrt{117}

Adding all the four hypotenuses, we get the length of the walkway:

Length of Walkway = 10+\sqrt{208} +15+\sqrt{117}\\ =50.24 yards

8 0
2 years ago
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