What is -3 and 5/7 expressed as an improper fraction?

Answers

Answer 1

Answer: This is equal to -3-5/7, or (-3*7)/7-5/7, or -21/7-5/7, or -26/7.

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Micah deposited $4000 between two savings account. One account earns 4% simple interest each year. The other account earns 2% simple interest. Last year Micah earned $140 interest on the accounts. What amount was originally deposited into the account that pays 4% interest?

Answers

Answer:

The amount that is deposited at 4 % simple interest is $ 3000.

Step-by-step explanation:

Given, the total amount deposited = $ 4000,

Let x be the amount that is deposited at the rate of 4 % simple interest,

⇒ The amount deposited at the rate of 2% simple interest = ( 4000 - x ) dollars,

We know that,

The simple interest on an amount is,

$I=(P* r* t)/(100)$

Where, P is the principal amount, r is rate of interest and t is time,

Thus, the total interest he earned in a year

$I=(x* 4* 1)/(100)+((4000-x)* 2* 1)/(100)$

$=(4x)/(100)+(2(4000-x))/(100)$

$=(4x+2(4000-x))/(100)$

According to the question,

I = $ 140,

$\implies (4x+2(4000-x))/(100)=140$

$(2x+8000)/(100)=140$

$2x+8000=14000$

$2x=6000$

$x=3000$

Hence, the amount that is deposited at 4 % simple interest is $ 3000.

$3000 * 0.04 = $120
$100 * 0.02 = $20

total 2 accounts = $120 + $20 = $140

answer: $3000 was the originally deposited into the account that pays 4% interest.

Sasha has a triangle with vertices a,b and c. The triangle has three congruent angles. She wants to show that triangle ABC has three congruent sides, but she does not have a ruler to measure the lengths of the sides. How can she show that line triangle has three congruent sides?

Answers

She can draw a triangle and then write the lenghts of the triangles with the same numbers

If she has a protractor then she could measure the angles, if they are all the same, then the sides are congruent. It also means that the triangle is an equilateral triangle. (each angle should be 60 degrees) Without somthing a ruler or a protractor though, there is no way to know for sure.

Im having problems with this multiplication

Answers

891 for the 1st one, 597 for the 2nd one.

When multiplying hundreds by ones,you have to take it one by one.

For example,on number 5:

199
x 3

1. Multiply 9 by 3,which equals 27.
199
x 3
27

2. Add a zero(to show the next placement) and Multiply 9 by 3,which equals 27.

199
x 3
27
270

3. Add two zeros,and multiply 1 by 3,which equals 3.

199
x 3
27
270
300

4. Now,add it up.

27 + 270 + 300 = 597

Your sum is 597.

Help me on question 14 please

Answers

What is question 14?

William says that 15 years from now, his age will be 3 times his age 5 years ago. If x represents William's present age, complete the followingsentences.
-
-
-
TEE LEHIAGO
w
15 years
eas
x - 15 = 3(x + 5)
x + 15 = 3(x - 5)
Elele EE FREE
回EE EF = = 但但但
E
LE! EEE
mm
The equation representing William's claim is
TUBE
TEVE
E
VE 1
la
LE
WS
de
mm
im
Eliminum
ISTI
FEE_
!
-
William's present age is
ll!
ET
.

Answers

Answer:

william is 15 now

Step-by-step explanation:

x+15 = 3(x-5)

x+15 = 3x - 15

15 = 2x-15

30 = 2x

15 = x

15-5 = 10 10*3 =30 15+15 =30

PLEASE 10 PTS!!!Carey is trying to decide between two guitars. The first had an original price of $160, but is on sale for $100. The second had an original price of $250, but is on sale for $150. Which guitar has a greater percent change in price?

A. The first guitar has greater percent change of approximately 35%.
B. The second guitar has a greater percent change of approximately 40%.
C. The first guitar has a greater percent change of approximately 54%.
D. The second guitar has a greater percent change of approximately 67%.

Answers

D because if you subtract $100 from $160 you get $40 off but if you subtract $150 from $250 you get $100 off so I believe it would be D.

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Katie bought 4 sweaters that cost the same amout and 1 skirt that cost $20.the items she bought cost a total of $160 before tax was added.what was the cost of each sweater

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