When Sandy and Allen's mother decorates the house for a holiday by herself, it takes her 5 hours. When both Sandy and Allen help, the three can finish the job in 2.5 hours. When only Allen helps his mother decorate, it takes the two 3.5 hours. How long would it take Sandy to decorate the house by herself?

Answer:

1.04

Step-by-step explanation:

8.04 - 7 = 1.04

I hope this helps!

Answer:

8.04=7+1.04is your answer.

Answer:

c . 2×1+0×(1/10)+59×(1/1.000)

slope 5.000

Intercept of x = -0.60000

Intercept of y= 3.0000

Answer:

1.35cm

Step-by-step explanation:

Given the scale of the map

1cm = 100km

For 135km;

x cm  = 135 km

Divide both equations

1/x = 100/135

100x = 135

x = 135/100

x = 1.35cm

Hence the map distance will be 1.35cm

Answer:

She would have to plant 102 more trees.

Step-by-step explanation:

150-48=102

Check: 102+48=150

Answer:126

Step-by-step explanation:

9x7x2 = 126

Answer:

the answer is a

Step-by-step explanation:

Answer:

254 4/7 or 254.34 ft² (it depends on which method you use.)

Step-by-step explanation:

To find the area of a circle, the formula is πr².

I'll use both 22/7 and 3.14 as pi, so I'll end up with two different answers. Just choose the more reliable one.

22/7 version:

22/7 * 9^2

22/7 * 81/1

1782/7

254 4/7 ft²

3.14 version:

3.14 * 9^2

3.14 * 81

314 - (3.14 * 19)

314 - 62.8 + 3.14

251.2 + 3.14

254.34 ft²

As I said, I ended up with two different answers. You also had said not to round my answer, so the 22/7 version has a mixed number.

Answer:

i think c good luck

Step-by-step explanation:

Answer:

Twins=0.004

Triplets=0.0001 OR 0.00012658227

first three natural numbers

First, three natural numbers notation describes {1, 2, 3}.

In mathematics, set notation is essentially a list of numbers, things, or results. Curly brackets, often known as braces, are used for set notation. The items included between brackets are referred to as elements of a set and are not required to be in any particular order.

Given, a set  {1, 2, 3}

Since a set notation used to represent the elements of a set is the curly brackets { }. An example of a set is A = {a, b, c, d}. Here the set is represented with a capital letter, and its elements are denoted by small letters.

These given number best fit in the category of natural numbers.

Therefore, First, the notation for three natural numbers shows  {1, 2, 3}.

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Answer:

[tex]-\frac{7}{24}[/tex]

Step-by-step explanation:

When subtracting a negative, it turns into a positive, so:

[tex]\frac{1}{8} -\frac{5}{12}[/tex]

Now find a common denominator:

[tex]\frac{3}{24} -\frac{10}{24}[/tex]

[tex]-\frac{7}{24}[/tex]

Answer:

1) x=30 degrees

2)y=20 degrees

1) 3x+2x+1x= 6x (a triangle is normally 180 degrees) 180 divide 6=30 (this is because 6 Xs make up the triangle)

2) 2y+5y+5+y+15= 8y+20, (since a triangle has 180 degrees) 8y+20=180 (-20 from both sides) 8y=160, 160 divide 8=20

(I hope this makes sense)

Answer:

D. Line

Step-by-step explanation:

Step-by-step explanation:

one foot cost 3 so a fourth of one foot is one fourth of three which is .75 and .75 x 3 is 2.25

Step-by-step explanation:

its 5

Answer:

hi

Step-by-step explanation:

what's up

Answer:

Larger than [tex]1\ \text{inch}[/tex]

Step-by-step explanation:

The total lenght of [tex]15[/tex] paper clips is [tex]17\dfrac{7}{8}=\dfrac{143}{8}\ \text{inches}[/tex]

In order to find the length of [tex]1[/tex] paper clip we divide the total length of the paper clips by [tex]15[/tex]. So,

[tex]\dfrac{\dfrac{143}{8}}{15}\\ =\dfrac{143}{8}\times\dfrac{1}{15}\\ =\dfrac{143}{120}\\ =1\dfrac{23}{120}=1.1917\ \text{inches}[/tex]

So, one paper clip is [tex]1.1917\ \text{inches}[/tex] long which is larger than [tex]1\ \text{inch}[/tex].

Answer:

didvid the number and that got you a big number

Answer:

Yes, the membership is worth it.

Step-by-step explanation:

Per workout : $10× 24 days = $240

Per workout with th membership: $3 × 24 days = $72+ $140 = $212

Answer:

I'm so confused

Step-by-step explanation:

did you forget to add a picture

Answer:

x = 6   y = -9   (I took a complicated route so if my explanation doesn't make sense It's fine)

Step-by-step explanation:

DAY = FUN

F = (7x+2y) = 24

If DAY = FUN then D = F making (7x + 2y) = 24

This means A = U so you have to find U with 24+126=150

A triangle is 180 degrees so you would do 180-150=30

U = 30

This also makes (8x+2y) = 30

8x + 2y = 30

-8x           -8x

2y = 30 - 8x

Divide everything by 2

y = 15 - 4x

Doing this you can take 7x + 2y = 24 and plug in 7x + 2(15 - 4x) = 24

Multiply it 7x + 30 - 8x = 24

Add like terms -x + 30 = 24

Subtract 30      -x = -6

Divide by -1       x = 6

Now take one of the equations and plug it in 7(6) + 2y = 24

Multiply 42 + 2y = 24

Subtract 2y = -18

Divide by 2    y = -9

Answer:

76.1365

add 27% to 59.95

Step-by-step explanation:

i think 2 because the 10 could be divided by 5

which would give you

r ^2 + 2

1. 2

Answer:

The parallel line has slope [tex]\frac{20}{7}[/tex]

The perpendicular line has slope [tex]-\frac{7}{20}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope.

Parallel lines:

Parallel lines have the same slope.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

We have the following line:

[tex]7y = 20(x-3)[/tex]

Placing it in the general format

[tex]7y = 20x - 60[/tex]

[tex]y = \frac{20x}{7} - \frac{60}{7}[/tex]

So this line has slope [tex]\frac{20}{7}[/tex]

Parallel line:

Same slope, so the parallel line has slope [tex]\frac{20}{7}[/tex]

Perpendicular line:

Multiplication of the slopes is -1. So

[tex]\frac{20m}{7} = -1[/tex]

[tex]20m = -7[/tex]

[tex]m = -\frac{7}{20}[/tex]

The perpendicular line has slope [tex]-\frac{7}{20}[/tex]

Answer:

y = 6x + 9

Step-by-step explanation:

Δy =-3-3 = -6

Δx =-2-(-1) = -1

Slope = Δy/Δx = 6

Point-slope equation for line of slope 6 that passes through (-1,3):

y-3 = 6(x+1)

Rearrange to solve for y:

y = 6x + 9

The equation which reveals the dimensions that will create the maximum area of the prop section is;

[tex]A = - (x-20)^2 + 400[/tex]

Option D is true.

Here,

We have to find, The equation which reveals the dimensions that will create the maximum area of the prop section.

What is Dimension?

The measure of the size or distance of an object or region or space in one direction is called Dimension.

Now,

The area of the sectioned off space, A, is modeled by this equation;

[tex]A = -x^{2} + 40x[/tex]

Where,  x is the width of the prop section.

Hence,

[tex]A = -x^{2} + 40x\\\\A = - (x^{2} -40x)\\\\A = - ((x - 20)^2 - 20^2)\\\\A = - ((x-20)^2 - 400)\\\\A = - (x-20)^2 + 400[/tex]

Clearly, We can say that;

A ≤ 400

So,

The equation which reveals the dimensions that will create the maximum area of the prop section is;

[tex]A = - (x-20)^2 + 400[/tex]

Option D is true.

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