It takes 2 workers 6 days to paint a mansion. How many days would it take 4
workers to do the same job?

Answer: $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.

Step-by-step explanation:

Let's break this down into simpler terms so you can understand.

You invested $7000 in a 7% and 8% account (always remember: the 'x' variable is always given to the biggest percentage)

Total of interest: 536 (this always goes at the end of the equation, after the equal sign)

Step 1: Let's set up the equation:

Here are how percents are written: (7% = 0.07, 8% = 0.08, other examples: 50% = 0.50)

0.08x + 0.07(7,000-x)=536

You're adding both because you want to see how much each account paid together.

Step 2: Distribute the 0.07 to everything in the parenthesis

0.08x + 0.07(7,000-x)=536

0.08x + 490 - 0.07x =536

Step 3: Combine like terms

0.08x + 490 - 0.07x =536

0.01x + 490 =536

Step 4: Continue combining like terms

0.01x + 490 =536

0.01x = 46

Step 5: Divide both sides by 0.01 to get the 'x' by itself

0.01x = 46

x = 4,600

This answer, x = 4,600, says to us that $4,600 was invested in the 8% account.

To find out how much was invested in the 7% account, just replace the x = 4,600 back into this part of the original equation: 7,000-x

7,000-x

7,000-4,600

2,400

So.. $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.

Answer:

honestly I don't know the answer

Answer:

Multiply

5.67 by 1.25.

7.0875

Answer:

1. x=6

2. x=2

Step-by-step explanation:

2:6

x:18

From 6 to 18, 6 was multiplied by 3. To keep the equality, we must multiply the other side by three as well. Therefore, x is equal to 2*3 which equals 6.

x=6.

5:7

(x+3):7

For this one, the second value did not change, so we know that x+3 has to equal 5. Therefore, x=2.

x=2

Answer:

D

Step-by-step explanation:

7 less than the square of the number means a number squared subtracted by 7, which would be D.

Answer:

the answer is about 7.5

Step-by-step explanation:

hope this helps

tell me if you want me to explain it

Answer:

[tex]4x^2(x-2)(x+6)[/tex]

Step-by-step explanation:

Factor [tex]4x^2[/tex]

[tex]4x^2(x^2)+4x^2(4x)-4x^2(-12)[/tex]

[tex]4x^2(x^2+4x-12)[/tex]

[tex]4x^2(x-2)(x+6)[/tex]

good luck, hope this helps :)

Answer:

90x+8202727

Step-by-step explanation:

90x70+8090#* 77

Answer:

5 miles

Step-by-step explanation:

$12 = ($2 per mile) (2 people)

$12 = $2 + $2m (m = mile)

subtract 2 on both sides to eliminate

$12 - $2 = $2 - $2 + 2m

$10 = 2m

divide both sides by 2 to eleminate m

$10 / 2 = 2m / 2

m = 5

Answer:

290

Step-by-step explanation:

To solve this problem you multiply 29 by 100 and then divide the total by 10 as follows:

(29 x 100) / 10

Therefore, you can derive that 10 percent of 290 equals 29.

Note that the answer provided is rounded to the nearest two decimals if necessary.

Answer:

56

Step-by-step explanation:

hope this helps

plz give me brailiest

Answer:

Step-by-step explanation:

5+4=24

Answer:

thanks

Step-by-step explanation:

We can prove this by contradiction.

Let us assume that c2=a2+b2 in ΔABC and the triangle is not a right triangle.

Now consider another triangle ΔPQR. We construct ΔPQR so that PR=a, QR=b and ∠R is a right angle.

By the Pythagorean Theorem, (PQ)2=a2+b2.

But we know that a2+b2=c2 and a2+b2=c2 and c=AB.

So, (PQ)2=a2+b2=(AB)2.

That is, (PQ)2=(AB)2.

Since PQ and AB are lengths of sides, we can take positive square roots.

PQ=AB

That is, all the three sides of ΔPQR are congruent to the three sides of ΔABC. So, the two triangles are congruent by the Side-Side-Side Congruence Property.

Since ΔABC is congruent to ΔPQR and ΔPQR is a right triangle, ΔABC must also be a right triangle.

This is a contradiction. Therefore, our assumption must be wrong.

Step-by-step explanation:

We can prove this by contradiction.

Let us assume that c2=a2+b2 in ΔABC and the triangle is not a right triangle.

Now consider another triangle ΔPQR. We construct ΔPQR so that PR=a, QR=b and ∠R is a right angle.

By the Pythagorean Theorem, (PQ)2=a2+b2.

But we know that a2+b2=c2 and a2+b2=c2 and c=AB.

So, (PQ)2=a2+b2=(AB)2.

That is, (PQ)2=(AB)2.

Since PQ and AB are lengths of sides, we can take positive square roots.

PQ=AB

That is, all the three sides of ΔPQR are congruent to the three sides of ΔABC. So, the two triangles are congruent by the Side-Side-Side Congruence Property.

Since ΔABC is congruent to ΔPQR and ΔPQR is a right triangle, ΔABC must also be a right triangle.

This is a contradiction. Therefore, our assumption must be wrong

Answer:

ioaiaifzkziz%syzjzxsbshshbsndnxjddd

Answer:

2+2=4

Step-by-step explanation:

x PLATES ... 10

7 CUPS ... 14

Cross multiply and et' violá:

[tex]14x=70\implies x=70/14=5[/tex]

Answer:

distributive property solve 3 into 4 - 2

Hello!

The Distributive Property states the following:

a(b+c)=ab+ac

where

a, b, and c can be either constants or variables.

Now, simplify:

15(4n-2)

15*4n - 15*2

60n-30

And we can't simplify it any further, because 60 n and 30 aren't like terms.

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

:-)

Step-by-step explanation:

[tex] {2.71 \times 10}^{ - 3} [/tex]

This can be rewritten as

[tex]2.71 \times \frac{1}{10^{3} } [/tex]

If we will solve this way,

[tex]\frac{2.71}{1000} = 0.00271[/tex]

But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.

From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.

If the exponent has a positive value, move TO THE RIGHT.

For example,

[tex]2.71 \times {10}^{3} = 2.71 \times 1000 \\ = 2710[/tex]

Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.

Answer:

True.

See below for explanation.

Step-by-step explanation:

Reason 1

Proof

[tex] \begin{cases} y = 4x - 3 \\ y = 4x - 5 \end{cases} \\ 4x - 3 = 4x - 5 [/tex]

Combine like terms.

[tex]4x - 4x = - 5 + 3 \\ 0 = - 2[/tex]

See that the equation is false no matter which numbers you substitute in x-term.

Reason 2

See the attachment below for graphs.

Since both graphs do not really have intercepts, that means they do not provide any solutions. Hence, no solutions.

Answer:

the answer should be I= 1.51

Answer:

i=1+0.51/1

Step-by-step explanation:

5.6=i+4.09

We move all terms to the left:

5.6-(i+4.09)=0

We get rid of parentheses

-i-4.09+5.6=0

We add all the numbers together, and all the variables

-1i+1.51=0

We move all terms containing i to the left, all other terms to the right

-i=-1.51

i=-1.51/-1

i=1+0.51/1

Answer:

Step-by-step explanation:

The solution is, The area of Rhombus B is 9 times bigger than the area of Rhombus A.  The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

Rhombus A:

Area = 35 square inches

base = 7 inches

height = 5 inches

Rhombus B:

Area = 315 square inches

base = 21 inches (7 x 3)

height = 15 inches (5 x 3)

A = 21 x 15

so, we get,

The area of Rhombus B is 9 times bigger than the area of Rhombus A.  The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.

To learn more on Area click:

brainly.com/question/20693059

#SPJ2

complete question:

Rhombus A has base of 7 inches and an area of 35 square inches. Rhombus B has a Base and Height that are three times the base and height of Rhombus A. Find the area of Rhombus b and compare it to the area of rhombus A Explain

Answer:

Area of square= side*side

So we will have,

14*14

= 196cm²

Answer: 59

Step-by-step explanation:

Answer:

I think it's letter b.29

Answer:

4

Step-by-step explanation:

That's the answer......

Answer:

2/5 ÷ 1/10 = 4

Hope this helped!

Answer:

Initial temperature, temperature at time 0

Step-by-step explanation:

The temperature of water in degree Fahrenheit 1 minute after stove is turned on ;

W(0) = 72 ; Initial temperature od water, that is temperature when time, t = 0

W(5) > W(2) ; This will be true, the tperature after 5 minutes should be greater Than the temperature after 2 minutes

W(10) = 212 ; The temperature of water is 212 degree Fahrenheit after 10 minutes

W(12) = W(10)

e. W(15) > W(30)

Answer:

5000inches

Step-by-step explanation:

i think is that!