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2 years ago

Ken had $15 more than Lisa at first. After Ken gave some of his money to Lisa,

Mathematics

1 answer:

VladimirAG [237]2 years ago

5 0

Answer: $18

Step-by-step explanation: Ken has $15 more. If he gives this $15 to Lisa, Lisa will have $15 more than him. Now if he gives $1 more his amount will decrease by $1 while Lisa's will increase by $1. So the difference increases by $2. The difference change is always twice the amount given. From $15 more to $21 more, that's a change in difference of $6. So $6 ÷ 2 = $3. He gives Lisa $3 on top of that $15 so that mean $18 was given.

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The Community Relief Fund receives a large donation of $2800. The foundation agrees to spend the money on $20 school bags, $25 s

asambeis [7]

The question is incomplete:

The Community Relief Fund receives a large donation of $2800. The foundation agrees to spend the money on $20 school bags, $25 sweaters, $5 books. They want to buy 200 items and send them to schools in earthquake-hit areas. They must order as many books as school bags and sweaters combined. How many of each item should they order?

Answer:

They must order 40 bags, 60 sweaters and 100 books.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y+z=200 (1)

20x+25y+5z=2800 (2)

z=x+y (3), where:

x=amount of bags

y=amount of sweaters

z=amount of books

Now, you can replace (3) in (1) and (2):

x+y+x+y=200

2x+2y=200 (4)

20x+25y+5(x+y)=2800

20x+25y+5x+5y=2800

25x+30y=2800 (5)

Then, you will have 2 equations:

2x+2y=200 (4)

25x+30y=2800 (5)

You can isolate x in (4):

2x=200-2y

x=100-y (6)

After this, you can replace (6) in (5):

25(100-y)+30y=2800

2500-25y+30y=2800

5y=2800-2500

y=300/5

y=60

Next, you can replace the value of y in (6) to find the value of x:

x=100-60

x=40

Finally, you can replace the value of x and y in (3) to find the value of z:

z=40+60

z=100

According to this, the answer is that they must order 40 bags, 60 sweaters and 100 books.

7 0

2 years ago

A ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s. The radius of the ride is 9.0 meters. Which of th

lana [24]

Answer with explanation:

It is given that , ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s.

$a=\frac{dv}{dt}=6 m/s$

Radius of Circle = 9.0 meters

Acceleration is rate of change of velocity,which will be perpendicular to radius vector.

Also, in terms of mathematics, line from center that is radius , to point of contact that is tangent line ,which is on the circle are perpendicular to each another.

→r(radius vector) ⊥ a(Acceleration vector).

So, In option A, Radius vector is Perpendicular to acceleration of riders.

4 0

2 years ago

Margaret took a trip to Italy. She had to convert US dollars to euros to pay for her expenses there. At the time she was traveli

creativ13 [48]

The conversion rate US dollars to Euros is represented with the function:
E(n)=0.72n
n- number of dollars
E(n) - Euros as a function of US dollars

The conversion rate Euros to Dirhams is :
D(x)=5.10x
x- number of Euros
D(x)- Dirhams as a function of Euros

We are trying to find D(x) in terms of n.
D(x) = 5.10x
x can be rewritten as E(n)
D(x) = 5.10(E(n))
D(x) = 5.10(E(n))
D(x) = 5.10(0.72n)
D(x) = 3.672n 

According to this the following statement is true:
A) (D x E)(n) = 5.10(0.72n)

8 0

2 years ago

The angle Johnny holds his pen on paper creates a linear pair. The measure of one angle is 13x + 7. The

tresset_1 [31]

<h3>The value of x is 4.10</h3>

Solution:

Given that,

The angle Johnny holds his pen on paper creates a linear pair

Angles in a linear pair are supplementary angles

Two angles are supplementary, when they add up to 180 degrees

The measure of one angle is 13x + 7

The measure of the second angle is one less than twice the first angle

Therefore,

Measure of second angle = twice the first angle - 1

Measure of second angle = 2(13x + 7) - 1

Measure of second angle = 26x + 14 - 1

Measure of second angle = 26x + 13

Therefore,

Measure of first angle + measure of second angle = 180

13x + 7 + 26x + 13 = 180

39x + 20 = 180

39x = 180 - 20

39x = 160

x = 4.1

Thus value of x is 4.10

3 0

2 years ago

Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest

galben [10]

The correct answer is c. $256.32.

3 0

2 years ago

Read 2 more answers