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liraira [26]
3 years ago
11

What is the solution to the inequality -31>6×+11

xFormula1" title=" - 31 > 6x + 11" alt=" - 31 > 6x + 11" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
andrezito [222]3 years ago
5 0

-31 > 6x-11 \\6x < -20 \\x < -\dfrac{20}{6}\Longrightarrow x\in (-\infty, -20/6)

Hope this helps.

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HELPPPPP PLEASE. NEED IT ASAP
MAXImum [283]

Answer:

48

Step-by-step explanation:

30/3=10 for all in 1 week

10/5=2 each person in a meal

Since all eat the same amount, 2x3=6 per meal. 6 hot dogs x 8 meals= 48 hot dogs in total

Hope this helped XD

3 0
3 years ago
Wayne's gym locker is a rectangular prism with a width and height of 12
Gnom [1K]

Answer:

Volume = (2890 and 5/8) inches^3

Step-by-step explanation:

Height = 12 and 1/2inches = 25/2

Width = 12 and 1/2inches = 25/2

Length = 6 inches > width = 6 + width

= 6 + (12 and 1/2) = 18 and 1/2

Length = 18 and 1/2 inches = 37/2

Volume of prism = length × breadth × height

Volume of rectangular prism = (25/2)×(25/2)×(37/2)

Volume of rectangular prism = (23125/8) inches^3

Volume of rectangular prism = (2890 and 5/8) inches^3

7 0
4 years ago
In a random sample of 30 sixth graders, 9 had traveled outside of the United States. There are a total of 120 sixth graders in t
Aleksandr-060686 [28]

36 students have traveled outside of the United States, when there are total 120 sixth graders.

<u><em>Explanation</em></u>

The number of students traveled outside of the United States is 9 when there is total 30 sixth graders. So, the ratio of the student traveled to the total students will be 9: 30 = 3: 10

Now there are total of 120 sixth graders in the school and lets assume the number of students traveled outside the United states is x . That means the ratio...

x: 120 = 3:10 \\ \\ \frac{x}{120}=\frac{3}{10}  \\ \\ 10x=360\\ \\ x=\frac{360}{10} \\ \\ x= 36

So, 36 students have traveled outside of the United States.


3 0
3 years ago
Read 2 more answers
At a basketball game, a vendor sold a combined total of 142 sodas and hot dogs. The number of sodas sold was 38 more than the nu
kow [346]
X represents the number of sodas
y represents the number of hot dogs

142 = x + y
x = 38 + y

Substitute x in the first equation

142 = 38 + y +y
142 - 38 = 2y
104/2 = 2y/2
y =52

x = 38 + 52
x = 90
8 0
2 years ago
Niki makes the same payment every two months to pay off his $61,600 loan. The loan has an interest rate of 9. 84%, compounded ev
elena-14-01-66 [18.8K]

Niki pays $39,467 interest will he have paid in total.

Given that,

Niki makes the same payment every two months to pay off his $61,600 loan.

The loan has an interest rate of 9.84%, compounded every two months.

If Niki pays off his loan after exactly eleven years.

We have to determine,

How much interest will he have paid in total?

According to the question,

The total interest will be paid is determined by,

\rm PV = \dfrac{P\left(1 - (1 + \dfrac{r}{t})^{-nt}\right) }{ \dfrac{r}{t}}

Where, PV = $61,600,  r = interest rate = 9.84% = 0.0984;

t = number of payments in a year = 6; n = number of years = 11 years and P is the periodic payment.

Substitute all the values in the formula;

\rm PV = \dfrac{P\left(1 - (1 + \dfrac{r}{t})^{-nt}\right) }{ \dfrac{r}{t}}\\\\\rm 61600 = \dfrac{P\left(1 - (1 + \dfrac{0.0984}{6})^{-11 \times 6}\right) }{ \dfrac{0.0986}{6}}\\\\61600 = \dfrac{P\left(1 - (1 + {0.0164})\right^{-66} }{0.0164}\\\\61600 = \dfrac{P\left(1 - (1.01640))^{-66}}{0.0164}\\\\ 61600 \times 0.0164 = P (1-0.341769)\\\\1010.24 = 0.658231P\\\\P = \dfrac{1010.24}{0.6582}\\\\P = 1534.78

Therefore,

Niki pays $1,534.78 every two months for eleven years,

The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48

Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48.

Hence, Niki pays $39,467 interest will he have paid in total.

For more details about Interest rates refer to the link given below.

brainly.com/question/10302432

6 0
3 years ago
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