How hard is 6th grade math?

Answer:

2nd Account has $19,000

1st Account has $42,000

Step-by-step explanation:

First let's split the money invested.

x is money in account 1

y is money in account 2

1st equation

$61,000=x+y

5%=0.05

7%=0.07

2nd equation

0.05*x+0.07*y=$3,430

x=61,000-y

substitute into 2nd equation

0.05(61,000-y)+0.07y=3430

Solve.

3050-0.05y+0.07y=3430

0.02y=3430-3050

0.02y=380

y=380/0.02

y=$19,000

There are 2(two) ways to solve for the 1st account, but I will do it the long way.

y=61,000-x

substitute into 2nd equation

0.07(61,000-x)+0.05x=3430

Solve.

4270-0.07x+0.05x=3430

-0.02x=3430-4270

-0.02x=-840

x=-840/-0.02

x=$42,000

The short way...

x=61,000-y

x=61,000-19,000

x=$42,000

Answer:

11

Step-by-step explanation:

you just divide it

Answer:

11

Step-by-step explanation:

I thought collage students could do simple division...

Lol

Answer:

b=128

Step-by-step explanation:

b÷4+16=48 isolate b

b÷4= 32

b= 128

Answer:

b=128

Step-by-step explanation:

rewrite

1/4b + 16 = 48

multiply both sides by 4

b + 64 = 192

move constant to the right and change he sign

b = 192-64

subtract

b = 128

Answer:

1.2 x 10^-1

Step-by-step explanation:

So you are going to move the decimal to the right once, since it is where the first number is. Since you only moved the decimal once it is 10^-1. It is negative because you moved the the right. If you had moved the decimal to the left it would be positive.

Answer:

  45 minutes

Step-by-step explanation:

At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...

  t = d/s

  t = (7.5 mi)/(10 mi/h) = 0.75 h

to catch Peter.

Mitchell will catch Peter in 45 minutes.

__

Alternate Solution

Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:

  3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter

_____

You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.

Answer:

Ran: 2.5hr

Biked: 1.5hr

Step-by-step explanation:

x = total hrs ran

y = total hrs biked

4 = total hours ran + biked

soo.....

x + y = 4hr

then you can convert that for solving y or x

Ex. x = 4-y or y = 4-x

Then just plug in either x or y

EQUATION: 5x + 13y = 32

Dont plug in both x or y at the same time. Pick one and solve

Answer:

x = 26

y = 9

Step-by-step explanation:

(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)

Solve for x

5x - 17 + 3x - 11 = 180

Collect like terms

5x + 3x - 17 - 11 = 180

8x - 28 = 180

Add 28 to both sides

8x = 180 + 28

8x = 208

Divide both sides by 8

x = 208/8

x = 26

Also:

(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)

Plug in the value of x and solve for y

2y + 5 + 90 + 3(26) - 11 = 180

2y + 5 + 90 + 78 - 11 = 180

Collect like terms

2y + 162 = 180

Subtract 162 from both sides

2y = 180 - 162

2y = 18

y = 9 (dividing both sides by 2)

Answer:

you just estimate it. which means pick a number that you think could be the right answer. estimates can never be wrong

The original equation: y = |x - 1| + 7

The new equation: y = |-x - 1| + 8

Answer:

Option A. A and D

Step-by-step explanation:

This answer because they are both right triangles and are near the same size

Hope this helps!

Answer:4,05

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

100 - 99 = 1.

He left 1% of pizza.

Therefore, the answer is no.

Answer:

no ◇◇

Step-by-step explanation:

I hoped I helped ◇◇

Answer:

No solution.

Step-by-step explanation:

5 can't equal 3 my friend.

Answer:

D no solution.

Step-by-step explanation:

5 doesn't equal 3

Answer:

1,000

10,000

100,000

Step-by-step explanation:

Answer:

bias by giving all individuals

Step-by-step explanation:

Answer:

Hey!

I think your answer should definitely be BIAS

Step-by-step explanation:

Picking a choice RANDOMLY removes the likelihood of the person picking BEING BIASED as they have no view / analysis of the options!

I HOPE THIS HELPS!!

Answer:

t = 1

Step-by-step explanation:

t + 25 = 26

Subtract 25 from each side

t = 1

Please find full question attached

Answer:

6584.4595( to four decimal places)

Explanation:

Please find full explanation attached

Answer:

21

Step-by-step explanation:

8 * 2 = 16

5 * 2 = 10

68 - 16 = 52 - 10 = 42.

The perimeter of the square is 42.

42 / 4 = 10.5. 10.5 is the length of a side.

10.5 * 2 = 21.

Answer:

If donovan wants to get dem grades up he has to stop talking out of turn, stop passing notes to his friends, stop fighting, stop trying to kiss the girls, stop cussing, mind his own bussiness, and do his work

Step-by-step explanation:

In 5 hours Arian can make 14 Bracelets.

Unitary method is first obtaining the value of a single unit and then deriving any given unit given.

According to the given question Arian is making bracelets.

It takes 1/10 of hour to pick out materials and 1/4 hour to braid it together.

∴ To completely make a bracelet it will take ( 1/10 + 1/4 ) hours which is

= 7/20 hours OR (7/20)×60 minutes = 21 minutes.

5 hours is = 5×60 = 300 minutes.

So, in 21 minutes he makes 1 bracelet.

In 300 minutes he can make  (300/21) Bracelets which is

= 14.28 Bracelets.

learn more unitary method here :

https://brainly.com/question/21648365

#SPJ2

Answer:

it depends

Step-by-step explanation:

If 17 is the hypotenuse

[tex]c=17\\\\b=12\\\\a=?\\\\c^{2} =a^2+b^2\\\\17^2=a^2+12^2\\\\17^2-12^2=a^2\\\\(17-12)(17+12)=a^2\\\\5(27)=a^2\\\\a=\sqrt{9*3*5} \\\\a=3\sqrt{15} \\\\a=11.6[/tex]

if you are looking for the hypotenuse

[tex]a=17\\\\b=12\\\\c=?\\\\a^2+b^2=c^2\\\\17^2+12^2=c^2\\\\289+144=c^2\\\\433=c^2\\\\c=\sqrt{433} \\\\c=20.8[/tex]

Answer:

y=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

7x - 2y = -52

7(-8) - 2y = -52

-56 - 2y = -52

-2y = 4

y = -2

Best of Luck!

Answer:

Step-by-step explanation:

Answer: g(x) = -4x + 5

Please mark me brainliest instead of points

Answer:

Half an inch

Step-by-step explanation:

Perimeter of the frame = 28 inches

Length fo the frame = 7 + x + x = (7 + 2x) inches

Width of the frame = 5 + x + x = (5 + 2x) inches

Perimeter of a rectangle is given as: 2(length) + 2(width)

Therefore:

28 = 2(7 + 2x) + 2(5 + 2x)

Solve for x

28 = 2*7 + 2*2x + 2*5 + 2*2x

28 = 14 + 4x + 10 + 4x

Collect like terms

28 = 14 + 10 + 4x + 4x

28 = 24 + 8x

Subtract 24 from both sides

28 - 24 = 24 + 8x - 24

4 = 8x

Divide both sides by 8

4/8 = 8x/8

½ = x

Width of the frame = x = ½ of an inch

Answer:

x=105

y=75

z=105

Step-by-step explanation:

Answer: x=105 y=75 z=105

Answer:

20 songs

Step-by-step explanation:

Robyn sang a total of 13 songs for a population of 62000 people, the per capita is the ratio of the total songs sang to the total number of people. Hence:

Robyn per capita = songs performed / population = 13 / 62000

Beyonce sang to a population of 91000 people, given that Beyonce and Robyn had the same per capita, therefore:

Beyonce per capita = songs performed / population

13/62000 = songs performed / 91000

songs performed = 13/62000 × 91000 = 19.08

songs performed ≈ 20 songs

Beyonce is expected to sing about 20 songs

Answer:

Around 20

You can use the Distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Answer:

Your first instinct might be to go ahead and add the x terms together, BUT this would be a bad thing to do! You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together!

Step-by-step explanation:

Answer:

Not sure if you mean multiplying or adding by "combine". But generally the rule of thumb with exponents is when you are adding and they are not like terms, you cannot combine the two terms together. So in other words, they would be left as x²+x. However, when you are multiplying you can add the exponents together. So, it will be like this: x²·x = x³

Answer:

D

Step-by-step explanation:

Because 12 is greater than -5 and when you divide a postive and a negative you get a negative number. And negative numbers are less than 0 .