A recipe for two dozen cookies calls for 2 3/4 cups of sugar. How much sugar is needed to make one dozen cookies?

Answer:

125°

Step-by-step explanation:

So we know that the total height is 85.5 (building height plus Lucia's height) and that the distance between Lucia and the fountain is 122ft away. As seen in the badly drawn picture below, the question asks us to solve for x, we can do this by first solving for y by using tangent to calculate its value which is the following

tan(y) = opposite / adjacent

tan(y) = 122 / 85.5

tan(y) = 1.4269

y = [tex]tan^{-1}[/tex](1.4269)

y = 54.97

Now that we have the value of y and we know that a straight line has a degree of 180, we can simply subtract the degree of y from 180 to get the degree of x

180 - 54.97 = 125.03

Answer:

about 35°

Step-by-step explanation:

tan^-1(85.5/122)

35.02352736°

=35°

Answer:

Concert Specialties is the better buy

Step-by-step explanation:

In order to determine which of the two deals is the better buy, we first need to find out how many of each pack we would need to get the needed 12 tickets. Once we have this value we multiply it by the dollar amount of each pack and compare the totals like so...

Concert Specialties => pack of 3 * 4 = 12 tickets => 4 * 75 = $300

We 'R' Entertainment => pack of 4 * 3 = 12 tickets => 3 * 108 = $324

Therefore, we can now see that the Concert Specialties is the better buy since you are getting the 12 tickets for $24 less than We 'R' Entertainment

Answer:0.52

Step-by-step explanation:$5.20 divided 10

Answer:

2nd option: [tex]3 \frac{65}{72} [/tex] pounds

Step-by-step explanation:

backpack +math book ----- [tex]18 \frac{7}{9} [/tex] pounds

backpack ----- [tex]14 \frac{7}{8} [/tex] pounds

Weight of math book

= (weight of backpack +math book) -(weight of math book)

[tex] = 18 \frac{7}{9} - 14 \frac{7}{8} \\ = 3 \frac{65}{72} [/tex]

Answer:

B. 3 and StartFraction 65 over 72 EndFraction pounds

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

just look it up

Answer:

1

Step-by-step explanation:

use division.

281 divided by 8

which is in all 35, but there is a remainder

and that remainder is 1

so one person will be on that last boat

Answer:

The first option.

Step-by-step explanation:

5*6=30 and 9*6=54. We're just multiplying what we had originally by 6, meaning we'll have the same shade, but in a bigger quantity.

Answer:

B 9 pounds of barbecue for $82.26

Step-by-step explanation:

$28.74/3 lb = $9.58/lb

A $57.48/6 lb = $9.58/lb

B $82.26/9 lb = $9.14/lb

C $114.96/12 lb = $9.58/lb

D $143.70/15 lb = =$9.58/lb

Answer: B 9 pounds of barbecue for $82.26

Answer:

B: Y=1/2×+2 I think that's it

Answer:

A. 10:2, simplifies to 5:1

B. 2:6, simplifies to 1;3

C. 5 cars there are 3 trucks

D. Motorcycle

Step-by-step explanation:

Answer:

$ 6

Step-by-step explanation:

Discount = 20% of 30

               [tex]= \frac{20}{100}*30[/tex]

               = 2 * 3

              = $ 6

Difference between the sale price and the original cost = $ 6

Answer:

y= 3x-1

Step-by-step explanation:

Use two points from the line to find slope. I'm using (1,2) and (2,5)

Put these values into slope formula and get 5-2/2-1 which simplifies to 3. So slope is 3.

Next, for the y-intercept. If you look closely, the line intercepts the y-axis at (0,-1), so our y-intercept is -1.

Put the equation together to get y=3x-1

Hope it helped.

[tex]\huge\underline{\frak{ \: \: \: \: \: \: Solution : \: \: \: \: \: \: }} \\ \\ [/tex]

[tex]\frak {\pink{Let}}\begin{cases} \sf{\red{Breadth \: be \: x}}\\ \sf{\orange{The \: Length = x + 9}}\end{cases} \\ [/tex]

[tex]\bigstar \: \underline{\textsf{According to the given Question :} }\\ \\[/tex]

[tex]:\implies \sf Area = Length \times Breadth \\ \\ \\ [/tex]

[tex]:\implies \sf 360=(x + 9 ) x \\ \\ \\ [/tex]

[tex]:\implies \sf 360= {x}^{2} + 9x \\ \\ \\ [/tex]

[tex]:\implies \sf {x}^{2} + 9x - 360 = 0\\ \\ \\ [/tex]

[tex]:\implies \sf {x}^{2} + 24x - 15x - 360 = 0\\ \\ \\ [/tex]

[tex]:\implies \sf x(x + 24) - 15(x + 24) = 0\\ \\ \\ [/tex]

[tex]:\implies \sf (x + 24) \: (x - 15) = 0\\ \\ \\ [/tex]

[tex]:\implies \underline{ \boxed{ \sf x = - 24 \: or \: x = 15}}\\ \\ \\ [/tex]

[tex]\therefore\:\underline{\textsf{Ignoring the negative value, the Breadth of rectangular garden is \textbf{15 ft}}}. \\ \\ \\ [/tex]

[tex]\bigstar \: \underline{\textsf{Dimensions of rectangular garden :}} \\ \\ [/tex]

[tex]\bullet\:\:\textsf{The Breadth of rectangular garden = x = \textbf{15 ft.}} \\ \\ [/tex]

[tex]\bullet\:\:\textsf{The Length of rectangular garden = x + 9 = 15 + 9 = \textbf{24 ft.}} \\ \\ [/tex]

Answer:

$27.09 in all

Step-by-step explanation:

$1.29 × 16.5 = $21.285

$1.29 × 4.5 = $5.805

$21.285 + $5.805 = $27.09

Answer:

$3

Step-by-step explanation:

Plug in 2 for y, so you get 2x + 3(2) = 12, and that simplified would be

2x + 6 = 12. Next, subtract 6 from both sides, so you get 2x = 6. Divide 2 by both sides to get 3!

Answer:

A equals 6

Step-by-step explanation:

6x3=18

Answer:

i think answer is

a=18/3=6

Answer:

x=3

Step-by-step explanation:

-3x+12=x

12=x+3x

12=4x

x=12

4

x=3 hope it helpu

Answer: 21

Step-by-step explanation:

24 times 16 equals 384

21 times 90 equals 1890

Answer:

C ig.

Step-by-step explanation:

well, it's not a right angle (90 degrees), it's not a 45 degree angle, and it's not a straight angle (180 degrees), so it's not enough info

Answer: C not enough info

Step-by-step explanation: if it was 90 it would have a box instead of a circle. 45 would be more obvious  and 180 is a straight line. In order to find <1 you need to know the angle next to it. So it does not work. Hope this helped. go answer my question!

Answer:

5(x-3)

Step-by-step explanation:

The word "SUM" means the answer to an "ADDITION".

"SUM" is always used with the word "AND" to indicate which numbers are being added.

The SUM of a number AND -3 is written as:  

( x + ( − 3 ) ), or  ( x -3 )

(where we have chosen the number to be  x .)

But we want FIVE of those sums; this means:

5  ( x − 3 )

Answer: synthesis

polymerization

oxidation

Step-by-step explanation:

Answer: synthesis

polymerization

oxidation

Answer:

Let's define:

X = number of pounds of the brand 1 (price = $2.50 per pound)

Y = number of pounds of the brand 2 (price = $2.80 per pound)

We want to make a mix of 480 pounds, then:

X + Y = 480.

And we want the mean price to be $2.68, then:

(X*$2.50 + Y*$2.80)/480 = $2.68

Then we have a system of equations:

X + Y = 480

(X*$2.50 + Y*$2.80)/480 = $2.68

To solve this, the first step will be to isolate one variable in one of the equations, and then replace this in the other equation.

Let's isolate X in the first eq.

X = 480 - Y.

Now we can replace this in the other equation and get:

((480 - Y)*$2.50 + Y*$2.80)/480 = $2.68

Now let's solve this for Y.

((480 - Y)*$2.50 + Y*$2.80) = $2.68*480 = $1,286.40

$1,200 + Y*$0.30 = $1,286.40

y*$0.30 =  $1,286.40 - $1,200 = $86.40

Y = $86.40/$0.30 = 288

Then:

X = 480 - Y = 480 - 288 = 192

Then the manager must use 192 pounds of the brand that costs $2.50 per pound, and 288 pounds of the brand that costs $2.80 per pound.

Answer:

-2

Step-by-step explanation:

its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2

Answer:

[tex]y=-\frac{7}{2}x+8[/tex]

Step-by-step explanation:

Given the equation

[tex]y\:=\:\frac{2}{7}x+9[/tex]

comparing the equation with the slope-intercept form

[tex]y =mx+b[/tex]            

Here,

so the slope of the line is 2/7

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -7/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]

[tex]y=-\frac{7}{2}x+8[/tex]

Answer:

x = [tex]\frac{2b+3}{5b-2}[/tex]

Step-by-step explanation:

Given

x(5b - 2) = 2b + 3 ← isolate x by dividing both sides by (5b - 2)

x = [tex]\frac{2b+3}{5b-2}[/tex]

Answer:

Step-by-step explanation:

[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)[/tex]

Answer:

(5,4)

Step-by-step explanation:

Answer:

7.5 gallons

Step-by-step explanation:

divide 12 by 3 to get oz per minute. 4

do 60 × 4 to get total minutes 240

4×240=960

put 960 oz into gallons and get 7.5