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3 years ago

-4x+6y≥6 Slope Y-interecept X-interecept

Mathematics

1 answer:

kramer3 years ago

8 0

Answer:

Subtract

from both sides of the inequality.

−

Divide each term by

−

and simplify.

−

Step-by-step explanation:

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Find the value of x

Hunter-Best [27]

Answer:

35.8 deg

Step-by-step explanation:

a/sin A = b/sin B

24/sin x = 39/sin 71.8

sin x = (24 * sin 71.8)/39

sin x = 0.584598

x = sin^-1 0.584598

x = 35.8 deg

6 0

3 years ago

Carlos is 33 years younger than Kristen. 2 years ago, Kristen's age was 2 times Carlos's age. How old is Carlos now?

ale4655 [162]

Answer:

Carlos is 35 years old now

Step-by-step explanation:

Assume that Carlos is x years old now

∵ Carlos is x years old now

∵ Carlos is 33 years younger than Kristen

- Kirsten's age is the sum of x and 33

∴ Kirsten is x + 33 years old now

2 years ago

∵ Carlos's age = x - 2

∵ Kristen's age = x + 33 - 2 = x + 31

∵ Kristen's age was 2 times Carlos's age

- Equate Kristen's age by 2 times Carlos's age

∴ x + 31 = 2(x - 2)

- Simplify the right hand side

∴ x + 31 = 2x - 4

- Subtract x from both sides

∴ 31 = x - 4

- Add 4 to both sides

∴ 35 = x

∵ x represents Carlos's age now

∴ Carlos is 35 years old now

6 0

4 years ago

Sophina bought 3 yards of trim to put around a rectangular scarf. She wants the width of the scarf to be a whole number that is

Rudiy27

3 yards = 36*3 = 108 inches
-> total of width and length = 108/2 = 54 inches, because perimeter = 2*total of length and width.

=> length + width = 54 inches
and 6 ≤ width <span>≤ 12
=> all possible dimensions are:
6x48
7x47
8x46
9x45
10x44
11x43
12x42</span>

6 0

3 years ago

Read 2 more answers

One wintry week a ski town got 5 1/3 inches of snow. On monday the town got 2 3/4 inches; on tuesday it got 1 1/2 times as much;

m_a_m_a [10]

Answer: The amount of snow the town get the rest of the week is given by

$\frac{5}{24}$

Step-by-step explanation:

$\text{ Total inches of snow town got in a week }=5\frac{1}{3}=\frac{16}{3}$

$\text{ Amount of snow it is receiving on Monday}=2\frac{3}{4}=\frac{11}{4}\text{ inches }$

$\text{Amount of snow it is receiving on Tuesday}=1\frac{1}{2}=\frac{3}{2}\text{ inches }$

$\text{Amount of snow it is receiving on Wednesday}=\frac{7}{8}\text{ inches }$

$\text{Amount it is receiving in remaining week is given by}$

$\frac{16}{3}-(\frac{11}{4}+\frac{3}{2}+\frac{7}{8})\\\\=\frac{16}{3}-\frac{22+12+7}{8}\\\\=\frac{16}{3}-\frac{41}{8}\\\\=\frac{128-125}{8}\\\\=\frac{5}{24}\text{ inches }$

So, the amount of snow the town get the rest of the week is given by

$\frac{5}{24}\text{ inches }$

7 0

4 years ago

assume that tge volume,v, of a sphere is expanding at a rate of 100 inches cubex per minute, the volume of a sphere is given by

Zielflug [23.3K]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\\\\
-----------------------------\\\\
\cfrac{dv}{dt}=\cfrac{4\pi }{3}\cdot 3r^2\cfrac{dr}{dt}\implies \cfrac{dv}{dt}=4\pi r^2\cfrac{dr}{dt}
\\\\\\
\cfrac{\frac{dv}{dt}}{4\pi r^2}=\cfrac{dr}{dt}\qquad 
\begin{cases}
\frac{dv}{dt}=100\\\\
r=8
\end{cases}\implies \cfrac{100}{4\pi 8^2}=\cfrac{dr}{dt}$

5 0

3 years ago