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1 year ago

Help me

Mathematics

1 answer:

dybincka [34]1 year ago

6 0

Answer:

First you have to multiply negative four in parentheses, then add minus two

-4×(-8+3x)=32-12x

2+32-12x=34-12x

34-12x=82

-12x=48

x=-4

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My brain just kind of exploded when reading this, please help!

zhannawk [14.2K]

Answer:

4.8 liters

Step-by-step explanation:

o=orange juice c=cranberry juice

Punch = 4/5o + 1/6c it means that any quantity of punch will have the same proportion of the two ingredients

now, you know that 1 liter can be written as 6/6 liters, so to get those 6/6 you multiply 1/6 by 6

for the proportion to remain valid, you must multiply by 6 also the other ingredient so (4/5)*6 = 24/5 of a liter of orange juice per liter of cranberry juice and 24/5 = 4.8 liters

4 0

3 years ago

Calculate annually compounded interest

Hunter-Best [27]

Answer:

$2,851.80

Step-by-step explanation:

Lets use the compound interest formula to solve:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 1.1% into a decimal:

1.1% -> $\frac{1.1}{100}$ -> 0.011

Next, plug the values into the equation:

$A=2,700(1+\frac{0.011}{1})^{1(5)}$

$A=2,851.80$

She will have $2,851.80 after 5 years.

3 0

2 years ago

The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no colleg

mars1129 [50]

Answer:

$p_1 -p_2 = 0.097-0.052 = 0.045$

So then the difference between the two proportions is 0.045 and if we convert this into % we got

$0.045*100= 4.5%$

Step-by-step explanation:

For this case we can define the following notation:

$p_1$ represent the unemployment rate for high school graduates with no college degree

$p_2$ represent the unemployment rate for college graduates with a bachelor's degree

And for this case we need to find the difference in proportions of those unemployed between these two groups, we want to find:

$p_1 -p_2$

From the info given we have $p_1 = \frac{9.7}{100}=0.097$

$p_2 = \frac{5.2}{100}=0.052$

And the difference:

$p_1 -p_2 = 0.097-0.052 = 0.045$

So then the difference between the two proportions is 0.045 and if we convert this into % we got

$0.045*100= 4.5%$

5 0

3 years ago

Help with trigonometry

Oksanka [162]

Answer:

○B. $\frac{\sqrt{6}}{2}$

Step-by-step explanation:

Trigonometric Identities

$\frac{y}{r} = sin\:θ$

$\frac{x}{r} = cos\:θ$

$\frac{y}{x} = tan\:θ$

$\frac{r}{x} = sec\:θ$

$\frac{r}{y} = csc\:θ$

$\frac{x}{y} = cot\:θ$

Radius Formula

${y}^{2} + {x}^{2} = {r}^{2}$

${[-\sqrt{15}]}^{2} + {[-\sqrt{10}]}^{2} = {r}^{2} → 15 + 10 = {r}^{2} → 25 = {r}^{2}\\ \\ 5 = r$

* Since we are talking about radii, we only want the NON-NEGATIVE root.

In this case, we will not be using the radius in our ratio, according to the trigonometric identity above because we are using the tangent ratio:

$\frac{\sqrt{6}}{2} = \frac{-\sqrt{15}}{-\sqrt{10}} = \sqrt{1\frac{1}{2}}$

I am joyous to assist you anytime.

4 0

3 years ago

A circular garden has a diameter of 20 yards. What is the area of the garden to the

marissa [1.9K]

Answer:314

Step-by-step explanation: To find area you use the formula πr^2. Your radius is 10 (since it is half your diameter). Plug it in to get π(10)^2. or 100π. Then just substitute 3.14 for π. You have 100 times 3.14 which equals 314

4 0

3 years ago