in a survey of 420 people, 85% said they drink coffee. of these, 1/3 said they drink their coffee black. how many of the people surveyed drink it black?​

Answer:

26 is what I'm guessing

Answer:

the answer is the last one

Step-by-step explanation:

it is in form of f(x) = mx + b and mx is the slope and b is the y intercept

Answer:

f(x)= 2x - 6

Step-by-step explanation:

Answer:

Hey there!

4 1/5 · 7 2/3= 32 1/5

Hope this helps :)

Answer:

32 1/5

Step-by-step explanation:

4 1/5 * 7 2/3

Change to improper fractions

( 5*4+1)/5 * ( 3*7+2)/3

21/5 * 23/3

Rewriting

21/3 * 23/5

7 * 23/5

161/5

Change back to a mixed number

5 goes into 161  32 times  with 1 left over

32 1/5

Answer:

171

Step-by-step explanation:

If five test scores have a mean of 90, then the total 5x90=450.  We already have the middle score (91) and the two top scores (94 and 94).  So the equation is 450-91-94-94=171

Answer:

9 over 7 end fraction three-fourths

Step-by-step explanation:

The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long.

Now,

Since, Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long.

So, The length of the 7 smaller boards = 9 1/3 ÷ 7

                                                            = 28/3 ÷ 7

                                                            = 28/3 × 1/7

                                                            = 4/3 feet

Thus, The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).

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Answer:

The answer is colors, genre of music, favorite pet

Step-by-step explanation:

Answer:

Coordinate D

Step-by-step explanation:

Answer:

y - 2 = 3(x - 5).

Step-by-step explanation:

We need to find the slope of the line.

[2 - (-10)] / [5 - (-1)] = (2 + 10) / (5 + 1) = 12 / 6 = 2 / 1 = 2

So, y1 = 2, x1 = 5, and m = 2.

y - 2 = 3(x - 5)

Hope this helps!

The formula for point slope is written as y - y1 = m(x -x1)

You are given y - 2 = ?

Since the 2 form the point (5,2) is the y1 value, then the 5 is equal to x1

The formula becomes: y-2 = m(x-5)

Now solve for the slope, which is the change in y over the change in x:

Slope = -10 - 2 / -1 - 5 = -12/-4 = 3

Now replace m to get y-2 = 3(x-5)

Answer:

B. sin(theta) cos^2(theta)

Step-by-step explanation:

sin^2(theta) / csctheta tan^2(theta)

To solve, we convert to sine and cosine and then simplify.

means by the priority of operators (* and / from left to right)

(sin^2(theta) / csctheta) * tan^2(theta)

= sin^2(theta) / (1/sin(theta) * (sin(theta)/cos(theta)^2

= sin^2(theta) * sin(theta) * sin^2(theta) / cos^2(theta)

= sin^5(theta) / cos^2(theta)

which obviously does not correspond to any of the answers.

IF the expression were missing parentheses in the denominator, then it becomes:

sin^2(theta) / (csctheta tan^2(theta))

= sin^2(theta) / (1/sin(theta) * sin^2(theta) /cos^2(theta))

= sin^2(theta) / (sin(theta)/cos^2(theta)

= sin(theta) cos^2(theta)

which corresponds to answer B.

Answer:

[tex]\Large \boxed{\bold{B.} \ \mathrm{sin(\theta) \cdot cos^2(\theta) }}[/tex]

Step-by-step explanation:

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{ csc(\theta) \cdot tan^2(\theta)} }[/tex]

Simplify the expression.

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{1}{sin} (\theta) \cdot \frac{ sin^2(\theta)}{ cos^2(\theta)} } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{sin^2 }{sin} (\theta) \cdot cos^2(\theta) } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) \cdot cos^2(\theta) } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) } \cdot cos^2(\theta) }[/tex]

[tex]\displaystyle \mathrm{sin(\theta) \cdot cos^2(\theta) }[/tex]

Answer:2

26x + y = 23 → y = 23 – 6x.

7x + y = 25 → 7x + (23 – 6x) = 25 → x + 23 = 25 → x = 2

Answer:

Step-by-step explanation:

Mary received 726 votes.

I attached a picture to this

Answer:

  $2300

Step-by-step explanation:

Carlos's needs will include ...

These total $2300.

Carlos's needs amount to $2300 per month.

Answer:

$950

This is because he needs groceries, utilities, and insurance.

Answer:

15 pupcakes

Step-by-step explanation:

Purple is 1 out of 4 sections

1/4  times the number of total pupcakes

1/4 * 60

15

Answer:

1/18

Step-by-step explanation:

Spinner: 1 out of 8

Even number: 4 out of 9

1/8x4/9=4/72 = 2/36 = 1/18

Answer:

Slope: 1.5

Step-by-step explanation:

We first have to find what y is equal to. That means we take 3x - 5 and divide it by 2. We get 1.5x - 2.5. Since the lines are parallel and they have the same slope and different y - intercepts, we know that the slope will be equal.

Answer:

m = 3/2

Step-by-step explanation:

2y = 3x - 5

First find the slope of this line

Divide by 2

2y/2 = 3x/2 - 5/2

y = 3/2 x - 5/2

This is in slope intercept form  y= mx+b where m is the slope and b is the y intercept

The slope is 3/2

Parallel lines have the same slope

m = 3/2

Answer:

75 green marbles

Step-by-step explanation:

From the information given in the question, we can create a ratio representing all the marbles in the bag.

9 red:15 green:6 blue

We need to find the total number of times the student drew a marble by finding the sum

9+15+6= 30

The sample size is 30

150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles

9x5=45

15x5=75

6x5=30

Now we have 45 red: 75 green: 30 blue

Based on the given information, we can predict that the bag contains 75 green marbles

Answer:

0.2

Step-by-step explanation:

10v=2

v=2/10

v=0.2

Answer:

[tex]\frac{n}{4}-1[/tex]

Step-by-step explanation:

If we have a pizza that has [tex]n[/tex] slices and we want to split it between 4 friends, then each friend will get [tex]\frac{n}{4}[/tex] slices.

Now, Harris is one of those friends so he receives  [tex]\frac{n}{4}[/tex]  slices, but he eats one less than he receives. Therefore, we subtract one from this expression to get our final answer of [tex]\frac{n}{4}-1[/tex].

Hope this helped!

Answer:

(n/4 - 1) slices

Step-by-step explanation:

The pizza would be divided into n slices, which in turn would be split among 4 people:

   n slices

----------------- = (n/4) slices per person

  4 people          

Harris must have eaten (n/4 - 1) slices.

Answer:

[tex]\boxed{Option \ 2}[/tex]

Step-by-step explanation:

[tex]6*10^8\\=> 600000000[/tex]

[tex]3*10^6\\=> 3000000[/tex]

Dividing both

=> 600000000 ÷ 3000000

=> 200

So,

[tex]6*10^8[/tex] is 200 times larger than [tex]3* 10^6[/tex]

Answer:

[tex]\boxed{\mathrm{Option \: 2}}[/tex]

Step-by-step explanation:

[tex]6 \times 10^8 = 600000000[/tex]

[tex]3 \times 10^6 =3000000[/tex]

[tex]\frac{600000000}{3000000} =200[/tex]

6 × 10⁸ is 200 times larger than 3 × 10⁶.

Answer:

A 180 degree counterclockwise rotation about the origin followed by a translation 5 units to the right

Step-by-step explanation:

Answer:

translation down 5, rotation 180°

Step-by-step explanation:

Answer:

Step-by-step explanation:

people in building ---- x

children --- y

men + women + children = x

(3/7)x + (5/8)(4/7)x + y = x

3x/7 + 5x/14 + y = x

times 14

6x + 5x + 14y = 14x

14y = 3x

y + 220 =x

sub into the other one

14y = 3(y+220)

11y = 660

y = 60

then 14(60) = 3x ---> x = 280

So we have 280 people in the building.

check: 3/7 of 280 are men = 120

leaving 160 women and children

5/8 of these ot 100 are women

so we have 120 men, 100 women and 60 children!

Answer:

4y miles

Step-by-step explanation:

Max : x miles per hour

Sven: y miles per hour  slower

        x-y is the speed for Sven

We know that distance = speed * time

Distance for Max = x*t

Distance for Sven = (x-y) * t = xt - yt

The difference in distance is Max's distance minus Sven's distance

xt - ( xt-yt)

xt - xt +yt

yt

Max is yt miles ahead where t is the time

The time is noon to 4  which is 4 hours

Changing t to 4

The distance ahead is 4y miles

Answer:

Step-by-step explanation:

Answer:

The histogram would be "flat" or "uniform."

Step-by-step explanation:

For the drawings to be "fair," all numbers must have an equal probability of being selected.

Answer:

The histogram would be uniform

Step-by-step explanation:

for the histogram to be uniform,all the numbers should have an equal probability of being selected.thus, all the numbers should have the same opportunity of being selected for the winning numbers

Answer:

they both = 100

Step-by-step explanation:

Answer:

50 mph

Step-by-step explanation:

225 in 4.5 Hours

1 Hour - 50 miles

(225 ÷ 4.5 = 50)

Hope this helps.

Answer:

50mph

Step-by-step explanation:

To figure this out you would just have to divide the number of miles which is 255 by the number of hours which is 4.5 and you would get 50mph.

Hi there, again! Hopefully this helps, again!

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Since she has 3 coats, 2 scarfs, and 1 glove:

She has 6 ways to choose a coat, a scarf, and a glove(s).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My 6 combinations:

1.) Red coat, black scarf, white glove(s).

2.) White coat, grey scarf, white glove(s).

3.) Pink coat, black scarf, white glove(s).

4.) Red coat, grey scarf, white glove(s).

5.) White coat, black scarf, white glove(s).

6.) Pink coat, grey scarf, white glove(s).

Answer:

–3 and –3

Step-by-step explanation:

x² + 6x = – 9

Rearrange

x² + 6x + 9 = 0

Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².

Next, we shall find two factors of 9x² such that when we add them together, the result will be the same as the 2nd term i.e 6x in the expression above.

The factors are 3x and 3x.

Next, we shall replace 6x with 3x and 3x in the equation above as shown below:

x² + 6x + 9 = 0

x² + 3x + 3x + 9 =0

Factorise

x(x + 3) + 3(x + 3) = 0

(x + 3)(x +3) = 0

x + 3 = 0 or x + 3 =

x = – 3 or x = – 3

Therefore, the solutions are –3 and –3