Patrick can paint a house by himself in
t
+
4
hours. Karen can paint the same house by herself in
t
+
9
hours. If they work together, they can paint the house in
t
hours. How much time will it take for Patrick to paint the house by himself?

Step-by-step explanation:

91=5k+6

91-6=5k

85=5k

k=85/5

k=17.

hope this helps you, Ro'shanea..!

=======================================================

Explanation:

Use of a calculator makes quick work of this type of problem

5.25 + 2.98 = 8.23

10.00 - 8.23 = 1.77

-----------

If you want to do this using mental math, then one trick is to do this:

Think of 2.98 as 3.00, then add this to 5.25 to get 8.25. Notice that we're 2 cents too high (because of the jump from 2.98 to 3.00), so we need to subtract 2 cents from 8.25 to get 8.23

So that's a fairly quick way to add those two numbers in your head. The more practice you get, the quicker it will happen.

As for the subtraction part, you have a number of routes. Possibly a quick way is to jump from 23 cents to 30 cents (plus 7), then jump from 30 cents to 100 cents (plus 70). Therefore, we have 7+70 = 77 as the overall jump to get us to the nearest dollar. But we'll need one more extra dollar to end up at $10 exactly.

In other words, the "plus 77 cents" portion only gets us from $8.23 to $9, so that's why we need that extra dollar in change. Therefore, we've computed $1.77

I apologize for being a bit wordy. Despite being a bit long-winded, this mental math should come fairly quickly after enough practice.

Step-by-step explanation:

I guess we are only talking about quadratic functions/equations here.

the world is not unified regarding what is the standard form of a quadratic equation.

but let's assume your teacher means

standard form

f(x) = y = ax² + bx + c

vertex form

f(x) = y = a(x - h)² + k

so, we are using the provided x, y coordinates to get a, b and c.

3.75 = a×0.125² + b×0.125 + c

3 3/4 = a×(1/8)² + b×(1/8) + c

15/4 = a/64 + b/8 + c

15×16/64 = a/64 + 8b/64 + 64c/64

=> 240 = a + 8b + 64c

4 = a×0.25² + b×0.25 + c

4 = a×(1/4)² + b×(1/4) + c

4 = a/16 + b/4 + c

4×16/16 = a/16 + 4b/16 + 16c/16

=> 64 = a + 4b + 16c

3 = a×0.5² + b×0.5 + c

3 = a×(1/2)² + b×(1/2) + c

3 = a/4 + b/2 + c

3×4/4 = a/4 + 2b/4 + 4c/4

=> 12 = a + 2b + 4c

we have now from the third equation

a = 12 - 2b - 4c

we put this into the second equation

64 = (12 - 2b - 4c) + 4b + 16c = 12 + 2b + 12c

32 = 6 + b + 6c

26 = b + 6c

b = 26 - 6c

and therefore

a = 12 - 2(26 - 6c) - 4c = 12 - 52 + 6c - 4c = 2c - 40

this a and b we use now in the first equation

240 = (2c - 40) + 8(26 - 6c) + 64c =

= 2c - 40 + 208 - 48c + 64c = 18c + 168

72 = 18c

c = 4

b = 26 - 6×4 = 26 - 24 = 2

a = 12 - 2×2 - 4×4 = 12 - 4 - 16 = -8

so, the standard form is

f(x) = y = -8x² + 2x + 4

the vertex form

we get this by transforming the standard form.

e.g. by competing the square :

y - 4 = -8x² + 2x = -8(x² - x×1/4)

y - 4 -8×(1/8)² = -8(x² -x×1/4 + (1/8)²)

y - 4 - 8/64 = -8(x - 1/8)²

y - 32/8 - 1/8 = -8(x - 1/8)²

y - 33/8 = -8(x - 1/8)²

y = -8(x - 1/8)² + 33/8

Answer:

Step-by-step explanation:

The sum of -1 3/4 and 2 1/2:

The difference between 2 1/2 and 1 3/4:

This is same as well as:

Answer:

[tex]yes...his \: \: statement \: \: is \: \: correct[/tex]

Step-by-step explanation:

Sum of the given 2 numbers

[tex] - 1 \frac{3}{4} + 2 \frac{1}{2} \\ - \frac{7}{4} + \frac{5}{2} \\ - \frac{7}{4} + \frac{5 \times 2}{2 \times 2} \\ - \frac{7}{4} + \frac{10}{4} \\ \frac{ - 7 + 10}{4} \\ = \frac{3}{4} [/tex]

Difference between the given 2 numbers

[tex]2 \frac{1}{2} - 1\frac{3}{4} \\ \frac{5}{2} - \frac{7}{4} \\ \frac{5 \times 2}{2 \times 2} - \frac{7}{4} \\ \frac{10}{4 } - \frac{7}{4} \\ \frac{10 - 7}{4} \\ = \frac{3 }{4} [/tex]

So, It's clear to you that,

sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4.

Hope this helps you.

Let me know if you have any other questions :-):-)

The product of the given expression (x + 1)(3/2x+5/3) is 3/2x² + 29x/6.

So, (x + 1)(3/2x+5/3):

Now, solve as follows:

Therefore, the product of the given expression is 3/2x² + 29x/6.

Know more about mathematical operations here:

brainly.com/question/20628271

#SPJ1

[tex] \bf \underline{Solution-} \\ [/tex]

[tex] \sf{ \sqrt[3]{ - 216} } \\ [/tex]

[tex] = \sf{ \sqrt[3]{ \bigg( \frac{1}{216} \bigg)} } \\ [/tex]

[tex] = \sf{ \sqrt[3]{ \bigg( \frac{1}{6} \bigg)^{3} } } \\ [/tex]

[tex] \sf{ = \bigg( \frac{1}{6} \bigg) ^{ \cancel3 \times \frac{1}{ \cancel3} } } \\ [/tex]

[tex] \sf = \bigg( \frac{1}{6} \bigg)^{1} \\ [/tex]

[tex] \sf = \frac{1}{6} \: \: \: \: Ans. \\ [/tex]

■. What is asked: It asks us to find out the greatest number of marbles that rey can put equally inside each box.

■. What is it's Solution:

■. Now the Solution Starts:

Things you should know about:

If you find anymore doubts regarding on my answer. then plz send your queries to the comment section. i will help you ;))

Answer:

40 percentage

Step-by-step explanation:

sana makatulong I'm not sure

Answer:

B) 3x - 4y = 20

Step-by-step explanation:

We can eliminate C and D since 4(0) + 3(-5) = -15 (not 20) and 4(0) - 3(-5) = 15 (not -20)

Now we will determine the slopes for A and B to see which one is correct:

A) 3x + 4y = -20 -> 4y = -20 - 3x -> y = -5 - 3/4x -> y=-3/4x - 5 (not right)

B) 3x - 4y = 20 -> -4y = 20 - 3x -> y = -5 + 3/4x -> y = 3/4x - 5 (right)

Therefore, B is correct since the slope is 3/4 and passes through (0,-5)

Answer:

Step-by-step explanation:

Area of square = (Length of side)

2

By putting the given values, we have:

1728

=

(length of side)

2

×

8

Solve for length of side,

Length of side of square base of pool =  

√

1728

8

=

12

f

e

e

t

This gives us the dimensions around the pool, which is 18.73ft for each side. Thus, each side will be  

12

×

3.5

f

e

e

t

2

of area, which equals  

42

f

e

e

t

2

.

You have  

4

sides to enclose the pool multiply this area by four, and you arrive at the square feet surrounding the pool:

42

×

4

=

168

f

e

e

t

2

Answer:

-3 + 5 = 2

Step-by-step explanation:

The value of the arrow on the numer line increased by 5 which resulted in a positive number which is 2.

The score John must have on his final exam in order to finish the class with an average of at least 90% is 62%.

In order to determine the score the that John must have in order to make an average of at least 90%, we have to determine the total sum of the scores he already has.

Sum of scores he already has = 87% + 95% + 92% + 89% + 84% = 447

Sum of scores he must have at the end of his sixth test = Average he must have on his average at the end of his final exam x number of exams written. 90 x 6 = 540

In order to determine the score John must have subtract 447 from 540. Divide the answer by 1.5.

540 - 447 = 93%

93 / 1.5 = 62%

A similar question was answered here: https://brainly.com/question/8709135?referrer=searchResults

A similar question was answered here:

Answer:

A

Step-by-step explanation:

As those two lines are parallel, we can express and equation:

[tex]2x + 10 = 5x - 35[/tex]

[tex]5x - 2x = 10 + 35[/tex]

[tex]3x = 45[/tex]

[tex]x = 15[/tex]

y = 110

X = 80

angle b is the same value as y so the value of that is 110

Kite total angle must be 360 so if you add 110+110+60 will give you 280. Minus that with 360 will give you X which is 80.

Answer:

a). y = 3/2x - 3/4    b).-2/3       c).y = -2/3x + 3

Step-by-step explanation:

a). 6x – 4y = 3

-4y = -6x + 3

y = 3/2x - 3/4

 - The slope is 3/2.

b). The slope of a perpendicular line would be the opposite: -2/3

c). y = -2/3x + b

-1 = -2/3(6) + b

-1 = -4 + b

3 = b

y = -2/3x + 3

Step-by-step explanation:

just think a little bit.

the balloon goes down 140 feet per minute.

how many feet will it have descended after 2 minutes ?

twice as much, right ?

after 5 minutes ? 8 minutes ? 10 minutes ? 15 minutes ?

we have to multiply.

simply because we need to maintain the value of the ratio feet/minute at all times.

so, when we multiply the "minute" part (by saying e.g. 5 minutes), we need to multiply the "feet" part with the same factor to keep the overall ratio the same. and then the resulting "feet" part gives us the answer.

so, after 2 minutes that means

140 ft / 1 min × 2/2 = 280 ft / 2 min

=> it descended 280 ft.

so, it's height is then at that moment

2520 - 280 = 2240 ft

5 minutes

140 ft / 1 min × 5/5 = 700 ft / 5 min

=> it descended 700 ft.

so, it's height is then at that moment

2520 - 700 = 1820 ft

and so on.

we see, that the general equation to determine the actual height (h) of the balloon depending on the passed number of minutes (m) is then

h = 2520 - 140m

so

2520 - 140×2 = 2240 ft

2520 - 140×5 = 1820 ft

2520 - 140×8 = 1400 ft

2520 - 140×10 = 1120 ft

2520 - 140×15 = 420 ft

Answer:

C

Step-by-step explanation:

Answer:

tried.. sry if it is wrong...

Step-by-step explanation:

some examples for u..

Mark me the Brainliest..PLS

Answer:x + (x +1) + (x +2)= 30.

Step-by-step explanation:Consecutive means one right after the other--such as 4,5,6. So the sum (add all the numbers together) must equal 30. So the equation should read

Hope this helps!

Answer:

The Answer is Option 3

Step-by-step explanation:

I got it right edge 2022

Answer:

the answer is 294

Step-by-step explanation:

Answer:

If you know what a graph looks like, then it is similar looking if not almost the same. The vertical lines represent what ever your x value is, in example the number of toys you have to how much they cost(ed) your x value would be the number of toys you have.

Step-by-step explanation:

Answer: a bar plot is a type of graph. The vertical lines shows the amount/data.

May contain dates that show how many each day, month, year.

The way most teachers show this is with what people prefer like, favorite color, food, etc...

Step-by-step explanation:

Answer:

Angle AOB measures 39°

Step-by-step explanation:

180-(90+51)=39

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve :

add the like terms :

Answer: Communitive property of addition

Step-by-step explanation:

The communitive property states that if you reverse the order of a multiplication or addition problem you will get the same result.

communitive property examples

x + 2 = 2 + x

xy = yx