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3 years ago

9k - X use k = 4 and x = 6

Mathematics

2 answers:

sukhopar [10]3 years ago

6 0

Answer:

Step-by-step explanation:

Use the algorithm method.

8 14

9 4

- 6

8 8

2 Therefore, 94-6=8894−6=88.

8888

Nutka1998 [239]3 years ago

3 0

9(4)= 36
36-6=30

Answer is 30

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Please answer the question correctly

miv72 [106K]

Answer:

Step-by-step explanation:

One property of a parallelogram is that diagonals bisect each other. This means that it "divides" each other in to two equal parts.

Since FK is 6, that means that KH is also 6.

Then you have to add both of those because FK and KH both make up the diagonal FH, FH is 12.

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3 years ago

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The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.

denis-greek [22]

$\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b$

which means there is some integer $k$ for which $a+b=9k$ .

Because $9\mid a$ and $9\mid b$ , there are integers $n_1,n_2$ such that $a=9n_1$ and $b=9n_2$ , and

$\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42$

We have $42=2\cdot3\cdot7$ , which means there are four possible choices of $n_1,n_2$ :

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for $a,b$ :

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of $a+b$ is 117.

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3 years ago

What is the surface area of a cylinder with a base radius of 3 ft and a height of 5ft

Solnce55 [7]

SA of a cylinder: 2 $\pi$ r² + 2 $\pi$ rh
r = radius of base
h = height of cylinder

Plug in 3 for r and 5 for h in the formula.
2 $\pi$ 3² + 2 $\pi$ (3)(5)
Use a calculator to solve.

2 $\pi$ 3² + 2 $\pi$ (3)(5) = 150.8 ft²

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3 years ago

Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles. She can ride 9 mph faster than she can walk. How f

Marrrta [24]

Answer:

$\frac{48}{r+9}=\frac{12}{r}$

Step-by-step explanation:

Let r represent Linda's walking rate.

We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be $t+9$ miles per hour.

$\text{Time}=\frac{\text{Distance}}{\text{Rate}}$

We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.

$\text{Time while riding}=\frac{48}{r+9}$

$\text{Time taken while walking}=\frac{12}{r}$

Since both times are equal, so we will get:

$\frac{48}{r+9}=\frac{12}{r}$

Therefore, the equation $\frac{48}{r+9}=\frac{12}{r}$ can be used to solve the rates for given problem.

Cross multiply:

$48r=12r+108$

$48r-12r=12r-12r+108$

$36r=108$

$\frac{36r}{36}=\frac{108}{36}$

$r=3$

Therefore, Linda's walking at a rate of 3 miles per hour.

Linda's bike riding rate would be $t+9\Rightarrow 3+9=12$ miles per hour.

Therefore, Linda's riding the bike at a rate of 12 miles per hour.

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3 years ago

What are the 2 criteria a linear graph must have to be proportional?

NNADVOKAT [17]

A graph of a proportional relationship is a straight line that passes through the origin. The constant of a proportionality in a graph of a proportional relationship is the constant ratio of y to x (the slope of the line).

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3 years ago

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9k - X use k = 4 and x = 6​

9k - X use k = 4 and x = 6