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2 years ago

7

mrs.jones is thinking of a number thst when rounded to nearest hundred is 400 what is the number explain

1 answer:

kherson [118]2 years ago

6 0

The number could be several different ones. Are you sure that's exactly what the problem says? If not, I'm going to ask you write the entire problem. If not, then whoever made it did not give enough information for there to be an absolute answer. I'm sorry I couldn't help you, but I really hope I can with more information.

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The measure of one of the acute angles in a right triangle is 59°.

Over [174]

Answer:

31*

Step-by-step explanation:

right triangle means 90* so 90*-59* = 31*

6 0

2 years ago

Read 2 more answers

Onesimus bought a phone for $ 75 and signed up for a single-line phone plan with 2000 monthly anytime minutes. The cost of the p

AysviL [449]

Answer:

cost for 21 months without considering cost of phone is $2,611.56

Total cost inclusive of cost of phone = $2,686.56

Step-by-step explanation:

cost of 2000 monthly anytime minutes plan = $ 124.36

So , in 1 month cost for given plan = $ 124.36

we have to find cost for 21 month

In 21 month, cost for given plan = 21 * cost of 1 month plan

In 21 month, cost for given plan = 21 * $ 124.36 = $2,611.56

cost for 21 months is $2,611.56.

Note, this cost is without considering the cost of phone as it is not mentioned cost of phone is to be included or not.

In case cost of phone is included then

Total cost inclusive of cost of phone = $2,611.56 + $75 = $2,686.56

7 0

3 years ago

The sum of two numbers is 58 and the difference is 6. what are the numbers: ?

Vinil7 [7]

Answer:

Larger number: 32

Smaller number: 26

Explanation:

58 - 6 = 52

52/2 = 26

26+6=32 Larger number

26 smaller number

6 0

2 years ago

Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as a comma-separated list.)

Paladinen [302]

Answer:

$\frac{140}{3}, \frac{140}{3}, \frac{140}{3}$

Step-by-step explanation:

Let the numbers be $x, y\ and\ z.$

Such that:

$x + y + z = 140$

Make z the subject

$z = 140 -x - y$

For their product to be maximum, we have:

$f(x,y,z) = xyz$

Substitute $z = 140 -x - y$ in $f(x,y,z) = xyz$

$f(x,y) = xy(140 - x - y)$

Open bracket

$f(x,y) = 140xy - x^2y - xy^2$

Differentiate w.r.t x and y

$f_x=140y - 2xy - y^2$

$f_y=140x - x^2 - 2xy$

Since the products are maximum, then $f_x = f_y = 0$

For $f_x=140y - 2xy - y^2$

$140y - 2xy - y^2 = 0$

Factorize:

$y(140 - 2x - y) = 0$

Split

$y = 0\ or\ 140 - 2x - y = 0$

Make y the subject

$y = 0\ or\ y = 140 - 2x$

For $f_y=140x - x^2 - 2xy$

$140x - x^2 - 2xy = 0$

---------------------------------------------------

Substitute y = 0

$140x - x^2 -2x*0 = 0$

$140x - x^2 = 0$

Factorize

$x(140 - x)= 0$

$x = 0\ or\ 140-x = 0$

$x = 0\ or\ x = 140$

---------------------------------------------------

Substitute $y = 140 - 2x$

$140x - x^2 - 2xy = 0$

$140x - x^2 - 2x(140 - 2x) = 0$

$140x - x^2 - 280x + 4x^2 = 0$

Re-arrange

$4x^2 -x^2 +140x - 280x = 0$

$3x^2 -140x = 0$

Factor x out

$x(3x - 140) = 0$

Divide through by x

$3x - 140 = 0$

$3x = 140$

$x = \frac{140}{3}$

Recall that: $y = 140 - 2x$

$y = 140 - 2 * \frac{140}{3}$

$y = 140 - \frac{280}{3}$

Take LCM

$y = \frac{140*3-280}{3}$

$y = \frac{140}{3}$

Recall that:

$z = 140 -x - y$

$z = 140 - \frac{140}{3} - \frac{140}{3}$

Take LCM

$z = \frac{3 * 140- 140 - 140}{3}$

$z = \frac{140}{3}$

Hence, the numbers are:

$\frac{140}{3}, \frac{140}{3}, \frac{140}{3}$

8 0

2 years ago

Explain how you would find the slope of the line y = 4.

Slav-nsk [51]

Answer:

The slope is 0.

Step-by-step explanation:

You could draw it on graphs paper . It will be a horizontal line passing through the point (0,4). y will always be 4 and x can be any value.

The slope of a horizontal line is 0.

4 0

2 years ago