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3 years ago

A number divided by 40 has a quotient of 6 a remainder of 16. Find the number.

Mathematics

2 answers:

algol [13]3 years ago

3 0

40 x 6 + 16 =
= 240 + 16 =
= 256

256 / 40 = 6 with a remainder of 16

Hope I helped.

ankoles [38]3 years ago

3 0

Your answer would be 6.

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Alex787 [66]

I think it’s c but not 100% sure. So sorry if I wrong

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3 years ago

Estimate: 19 + 17.77 = 37 B 31 35 D 41

Natali [406]

Answer:

Step-by-step explanation:

Option A 37 is the correct answer

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2 years ago

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.

Yanka [14]

Answer:

The sum is $t$ .

Step-by-step explanation:

Consider the provided information.

The given expression are - 10t and t - 10t

We need to find the sum of the opposite of -10 t and t - 10t.

The opposite of -10 t is 10 t.

$10t+(t-10t)$

Remove the parenthesis.

$10t+t-10t$

Simplify the number

$10t-10t+t$

Use Additive inverse.

$t$

Hence, the sum is $t$ .

4 0

2 years ago

Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))

sergejj [24]

Answer:

$\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}$

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, f and g are inverses, then:

$\displaystyle f(g(x)) = g(f(x)) = x$

So, we can let j be the inverse function of h.

Function h is given by:

$\displaystyle h(x) = y = 3x-2$

Find its inverse. Flip variables:

$x = 3y - 2$

Solve for y. Add:

$\displaystyle x + 2 = 3y$

Hence:

$\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}$

Therefore, a = 1/3 and b = 2/3.

We can verify our solution:

$\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}$

And:

$\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}$

3 0

2 years ago

How many solutions does the system of equations have?

Anestetic [448]

Answer:

no solution

Step-by-step explanation:

a solution would mean a point where the two lines cross. theres no such thing for parallel lines.

but if the lines are the same, they are parallel and cross everywhere, that would give infinite solutions.

if they would cross once, it would mean one solution

6 0

3 years ago

Read 2 more answers