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3 years ago

Quadrilateral RSTU has one pair of opposite parallel sides and one pair of opposite congruent sides as shown.

Mathematics

1 answer:

max2010maxim [7]3 years ago

6 0

Answer:

A It cannot be determined from the information given.

Step-by-step explanation:

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Marcos purchases a top-up card for his pre-paid cell phone. His remaining balance, B, can be modeled by the equation B=40−0.1n,

Molodets [167]

Answer:

Part a) When Marcos purchased the card, the balance on the card was $40

This is the B-intercept

Part b) Mark will have spoken 400 minutes when he runs out of money

This is the n-intercept

part c) The slope of the equation is -0.1 and the units are dollars per minute

Step-by-step explanation:

we have

$B=40-0.1n$

where

B is balance in dollars on the card

n is the number of minutes

Part a) How much money was on the card when he purchased it? $______. Which intercept is this? B-intercept or N-intercept?

we know that

The B-intercept is the value of B when the value of n is equal to zero

For n=0

substitute and find the value of B

$B=40-0.1(0)=\$40$

therefore

When Marcos purchased the card, the balance on the card was $40

This is the B-intercept

Part b) How many minutes will he have talked when he runs out of money? $_____. Which intercept is this? B-intercept or n-intercept ?

we know that

The n-intercept is the value of n when the value of B is equal to zero

For B=0

substitute and find the value of n

$0=40-0.1n$

$0.1n=40$

$n=400\ minutes$

therefore

Mark will have spoken 400 minutes when he runs out of money

This is the n-intercept

Part c) What is the slope of this equation?________ . What are the units on the slope? Minute , dollars per minute ,minutes per dollars or dollars ?

we have

$B=40-0.1n$

This is is the equation of the line into slope intercept form

$m=-0.1\frac{\$}{minute}$ -----> slope of the equation

$b=40$ ------> the B-intercept

The units of the slope are dollars per minute

7 0

3 years ago

Kim, Laura and Molly share £385

trapecia [35]

Set x equal to the amount of money Kim gets, and y for Molly's money.

x = 2/5y, since the ratio is 2:5.
y = 105 + x, since Molly has 105 more pounds than Kim.

Substitute x into this equation, so that y = 105 + 2/5y. Subtract 2/5y from both sides to get 3/5y = 105. Divide each side by 0.6 (equivalent to 3/5) and you get y = 175, which is how much Molly has. Kim gets 2/5 of Molly's share (or 105 fewer pounds), so she has 70.

70 + 175 (Kim and Molly's shares) is equal to 245. Therefore, Laura receives the remaining 140 pounds.

140/385 = a/100
Cross multiply so that 385a is 14000. Divide by 385 to get 36.4 (rounded).

Thus, Laura receives about 36.4% of the total money. Hope this helps (:

5 0

3 years ago

I need help ASAP please

Anna007 [38]

I can’t see the question

7 0

3 years ago

The incenter of a triangle is the intersection point of the_____ bisectors

adelina 88 [10]

Answer:

angle

Step-by-step explanation: