60 percent of what number is 30? StartFraction 60 times 2 Over 30 times 2 EndFraction = StartFraction 120 Over 60 EndFraction StartFraction 30 divided by 1 Over 60 divided by 1 EndFraction = StartFraction 30 Over 60 EndFraction StartFraction 60 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 30 Over 50 EndFraction StartFraction 100 times 2 Over 30 times 2 EndFraction = StartFraction 200 Over 60 EndFraction

Answer:

[tex] \huge y = \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]7(1 - y) = -3(y-2)[/tex]

Expand the terms in the bracket

That's

[tex]7 - 7y = - 3y + 6[/tex]

Add 3y to both sides of the equation

[tex]7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6[/tex]

Subtract 7 from both sides by the equation

[tex]7 - 7 - 4y = 6 - 7 \\ - 4y = - 1[/tex]

Divide both sides by - 4

[tex] \frac{ - 4y}{ - 4} = \frac{ - 1}{ - 4} \\ [/tex]

We have the final answer as

[tex]y = \frac{1}{4} \\ [/tex]

Hope this helps you

Answer:

12 letters cost 6.30 dollars

Step-by-step explanation:

hope this helps

Answer:

$5.40 for 12 letters

Step-by-step explanation:

you need to find the cost for 1 unit then multiply that by 12, so you take the cost (4.50) and divide it by letters (10) so you get 0.45. So that is the cost of q letter, then you that that unit rate and multi[ly it by the number that you need to figure out (12) so .45x12=5.40  

12 letters=$5.40

Answer:

-0.15 I believe

Step-by-step explanation:

siri did the math for me lol

The answer would be - 0.15

The number of hours that Javier spends on cardio and weightlifting will be one hour.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Every Saturday, Javier works out for two hours. His workout consists of two components. Javier works out with cardio and weights.

If he spends the same amount of time on both parts.

Let x be the number of hours spent on weightlifting. Then the equation is given as,

x + x = 2

2x = 2

x = 1 hour

The number of hours that Javier spends on cardio and weightlifting will be one hour.

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Answer:

B..

lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

4r³=-2916

r³=-729

r=-9

b)s=[tex]\frac{4}{1+9}[/tex]

    =[tex]\frac{4}{10}[/tex]

    =[tex]\frac{2}{5}[/tex]

Answer:

1)[tex]x^2+x-12=0[/tex]

2)[tex]x^2+8x-20=0[/tex]

3)[tex]x^2+0.9x-0.36=0[/tex]

4)[tex]2x^2-6x-36=0[/tex]

5)[tex]x^2-5x-84=0[/tex]

Step-by-step explanation:

1) The length of a wooden frame is 1 foot  longer than its width and its area is equal  to 12 sq. ft.

Let the width be x

We are given that length of a wooden frame is 1 foot  longer than its width

So, Length = x+1

Area of rectangular frame =[tex]Length \times Breadth = x(x+1)[/tex]

ATQ

x(x+1)=12

[tex]x^2+x-12=0[/tex]

2)The length of the floor is 8 m longer than  its width and there is 20 square meters.

Let the width be x

We are given that length of the floor is 8 m longer than  its width

So, Length = x+8

Area of floor= [tex]Length \times Breadth = x(x+8)[/tex]

ATQ

x(x+8)=20

[tex]x^2+8x-20=0[/tex]

3)The length of a plywood is 0.9 m more  than its width and its area is 0.36 m2.

Let the width be x

We are given that length of a plywood is 0.9 m more  than its width

So, Length = x+0.9

Area of plywood=[tex]Length \times Breadth = x(x+0.9)[/tex]

ATQ

x(x+0.9)=0.36

[tex]x^2+0.9x-0.36=0[/tex]

4)The area of rectangle whose length is six  less than twice its width is thirty-six

Let the width be x

We are given that length is six  less than twice its width

So, Length = 2x-6

Area of rectangle = Length \times Breadth = x(2x-6)

ATQ

x(2x-6)=36

[tex]2x^2-6x-36=0[/tex]

5)The width of a rectangular plot is 5 m  less than its length and its area is 84 m2.

Let the length be x

Width = x-5

Area =[tex]Length \times Breadth = x(x-5)[/tex]

ATQ

x(x-5)=84

[tex]x^2-5x-84=0[/tex]

Answer:

m<ZJNK=47°

Step-by-step explanation:

m<ZJNK=103°-24°-32°=47°

Answer:

500

Step-by-step explanation:

follow me life is soooooooo slow at this age............................ ................................. .......

Answer:

Step-by-step explanation:

1/5 of 115= 23

so in 15mins he reads 23 pages.

15mins x 4=60mins

23x4=92

Have a nice day sunshine

Answer:

22 35

Step-by-step explanation:

Answer:

Step-by-step explanation: 7 miles: 3/4 hour, 9/8 miles: 5/6 hour, and 4 miles: 3 and 1/3 hour.

hope this helps !! <3

The ratios that have a unit rate is 9/8 miles:5/6hours and 7miles: 3/4 hours

Unit rate is the ratio of the distance travelled o the time taken.

For us to know which of the ratios has a unit rate greater than 1, we need to divide the distance by the time as shown;

If distance = 9/8 miles and time = 5/6 hours

[tex]Unit \ rate =\frac{(9/8)}{(5/6)}\\Unit \ rate =\frac{9}{8} \times \frac{6}{5}\\Unit \ rate = \frac{54}{40} \\Unit \ rate =1.35 miles/hour[/tex]

Hence the ratio that has a unit rate is 9/8 miles:5/6hours

If distance = 7 miles and time = 3/4 hours

[tex]Unit \ rate =\frac{7}{(3/4)}\\Unit \ rate =\7 \times \frac{4}{3}\\Unit \ rate = \frac{28}{3} \\Unit \ rate = 9.33miles/hour[/tex]

Hence the ratio that has a unit rate is 7 miles:3/4hours

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Answer:

x = 74, y = 53

Step-by-step explanation:

x and 106 are supplementary angles, they add to 180. 2y and x are also supplementary angles, and using substitution, you get 2y is equal to 106, so y is 53. x will be 74 degrees.

Answer:

37,502

Step-by-step explanation:

With the provided details we have:

Range of number = 37,493 - 37,503

The number is even number

Therefore, possible options are:

37,494

37,496

37,498

37,500

37,502

When number rounded to nearest tens, is  less than the original number

Rounding off above numbers to nearest tens we have

37,490

37,500

37,500

37,500

37,500

There is only 2 numbers which full fill the condition of original number number being smaller than the rounded off number.

37,494 and 37,502

The next condition is on rounding to nearest 1,000's

37,494 rounded to 37,000

37,502 rounded to 38,000

Provided that the rounded number in 1000's is more than the original mystery number.

37,000 is less than 37,494 thus not feasible.

38,000 is more than 37,502

This is the mystery number.

Answer:

96

Step-by-step explanation:

a lot fffdvxv chfx yhdfgddbf

Write both sides as powers of 16:

[tex]\log_4(2-x)=\log_{16}(13-4x) \implies 16^{\log_4(2-x)}=16^{\log_{16}(13-4x)}[/tex]

Since 16 = 4², we can rearrange the left side to get

[tex]16^{\log_4(2-x)}=(4^2)^{\log_4(2-x)}=4^{2\log_4(2-x)}=4^{\log_4(2-x)^2}[/tex]

Then, recalling that [tex]b^{\log_ba}=a[/tex], we have

[tex]4^{\log_4(2-x)^2}=16^{\log_{16}(13-4x)}\implies(2-x)^2=13-4x[/tex]

Now solve for x :

[tex](2-x)^2=13-4x[/tex]

[tex]4-4x+x^2=13-4x[/tex]

[tex]x^2-9=0[/tex]

[tex](x+3)(x-3)=0[/tex]

[tex]\implies x=-3\text{ or }x=3[/tex]

Notice that if x = 3, then log₄(2 - x) = log₄(-1) is undefined, so we throw out this solution. We don't run into this problem with x = -3, so that's the only (real) solution.

Answer:

Number of CDs in Walter's collection = x = 36

Step-by-step explanation:

x denotes number of CDs in Walter's collection.

Also, the number of CDs in Brian's collection is 3 times the number in Walter's collection.

Number of CDs in Brian's collection [tex]=3x[/tex]

Total number of CDs in both Walter's collection and Brian's collection = 144

[tex]x+3x=144\\4x=144\\x=\frac{144}{4}\\ x=36[/tex]

So,

Number of CDs in Walter's collection = x = 36

Answer:

210

Step-by-step explanation:

a(b)(-c) (PLUG IN THE NUMBERS)

7(-2)(-15) (multiply 7*-2)

-14(-15) (multiply them together two negatives make a positive)

210

Answer:

210

Step-by-step explanation:

plug in what ya know, and it is 7(-2)(15)

7(-2)=-14 and -14(15)=210

Answer:

2/15 or 0.13

Step-by-step explanation:

Answer:

0.13328

Step-by-step explanation:

it's easier to write in that form

The area of the shape that is the combination of rectangle and trapezoid will be 71 square inches.

The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

The shape is a combination of a rectangle and a trapezoid.

The area is the summation of the area of the rectangle and the area of the trapezoid. Then we have

Area = Area of the rectangle + Area of the trapezoid

Area = 5 x 9 + (1/2) x (4 + 9) x 4

Area = 45 + 26

Area = 71 square inches

The area of the shape that is the combination of rectangle and trapezoid will be 71 square inches.

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The missing graph is given below.

Answer:

1.) m<6 and m<8=142, m<9=38

2.) m<7 and m<9=66, m<8=114

note: brainliest would be appreciated.

Step-by-step explanation:

Answer:

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

Step-by-step explanation:

Probability is the likelihood or chance of an event occurring. Probability can be determined using the formula below

Probability = Number of favorable outcome / Total number of possible outcomes.

From the question, we are to determine the probability of reaching into the box and randomly drawing the chip numbered 170.

Here, the number of favorable outcome is 1 (which is the chip numbered 170)

Total number of possible outcomes is 216 ( all the 216 identical plastic chips)

Therefore,

Probability = 1/216 or 0.0046

This is the probability of randomly drawing the chip numbered 170.

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

Answer:

D. all atoms are the same

Even though two atoms are chemically identical and might even chemically react in the same way, they are not completely the same to each other

We want to find the slope of a line perpendicular to 15*x + 9*y = 189.

The slope of the line perpendicular to the given line is 9/15.

First, a general line written in the slope-intercept form is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

And two lines are perpendicular if one has a slope that is equal to the inverse of the opposite of the other line's slope.

So, to find the slope of the line perpendicular to 15*x + 9*y = 189, first, we need to find the slope of this line.

To do it, we need to isolate y.

9y = -15x + 189

y = (-15/9)*x + 189/9

So the slope is -15/9

A perpendicular line to this must have a slope equal to the inverse of the opposite of this, so the slope of the perpendicular line is:

-(-9/15) = 9/15

The slope of the line perpendicular to the given line is 9/15.

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