Tommy wants to make ice cream for his birthday party. He has 6 cups of cream. Each batch
of ice cream takes 3/4 cups of cream. How many batches can he make? *

Answer: 57°

Step-by-step explanation:

Bisecting makes angle ZXY=ZXW. So 58+58=116.

Then solve. 2x+2=116.

2x=114

x=57

Answer:

p=50t

Step-by-step explanation:

The more pages Crystal has to read, the more time she spends reading.

Let p=number of pages read

t=time spent reading the number of pages

As t increases, p increases.

This is a direct proportion and we can write it as:

[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]

Substitution of k into p=tk gives:

p=50t

Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:

p=50t

Answer:

a = -1

b = 1

Step-by-step explanation:

Step 1: Isolate x's

x² + 2x = -2

Step 2: Complete the Square

x² + 2x + 1 = -2 + 1

(x + 1)² = -1

Step 3: Move everything to 1 side

(x + 1)² + 1 = 0

And we have our answer.

Answer:

A=1 and b=1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You can tell C is the right answer because one of the inequalities is a vertical line at y=3, which rules out all the other answers. However, if you continue to look at the 2nd inequality, you find the equation is x + y > 2, because the slope is -1 and the y-int is 2.

Answer:

C. [tex]\left \{ {{x\leq 3} \atop {x+y>2}} \right.[/tex]

Step-by-step explanation:

Well I went to Desmos and graphed them.

look at the image below

Answer: a.) (3x +1)(2x +3)

Step-by-step explanation:

The factors that work to get the middle term, 11x, are 3×3x = 9x and 1×2x=2x. 2x +9x = 11x

Answer:

44

Step-by-step explanation:

MRQ=136

In a straight line there is 180 degrees

180-136=44

MRS=44 degrees

alternates angle is a z shape so NMRS is one

So you then RMP is 44 degrees.

Hope it helps just tryed

Answer:

√208

Step-by-step explanation:

Step 1: Convert 4 to √

4² = 16

4 = √16

Step 2: Multiply radicals

√16(√13) = √208

Answer:

[tex]\sqrt{208}[/tex]

Step-by-step explanation:

Getting this answer can simply be achieved by process of elimination. I started dividing [tex]\sqrt{208}[/tex] by numbers that I knew had perfect squares, and eventually I found 16.

      [tex]\sqrt{208}[/tex]

          /\

    [tex]\sqrt{16}[/tex] [tex]\sqrt{13}[/tex]

      [tex]4\sqrt{13}[/tex]

As you can see above once I got 16 and 13, I found the square root of 16, which was four, and I checked to see if I could find the square root of 13 as well, but unlike 16 it doe snot have a perfect square.

Answer:

Width: [tex]10y^6[/tex]

Length: 7y² + 3

Step-by-step explanation:

Step 1: Factor out 10

[tex]10(7y^8+3y^6)[/tex]

Step 2: Factor out [tex]y^6[/tex]

[tex]10y^6(7y^2+3)[/tex]

According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).

Answer:

2,451 inches.

Step-by-step explanation:

Formula for volume of a cylinder = V=πr2h

r = 13 inches

h = 30 inches

π=22/7 or 3.14

V = 3.14 × 13 × 2 × 30

= 2,451.43

Answer is 2,451.43

Answer:

B, √140

Step-by-step explanation:

√28+√112 = √140

Answer:

[tex]C =8t+16\\7\ hours[/tex]

Step-by-step explanation:

Given that, Fixed charge = $16

Per hour charge for renting the bike = $8/hour

To find:

If Matt paid $72 to rent a bike, for how many hours did he rent the bike?

Solution:

Let 't' be the time for which Matt rents the bike.

1 hour charge for the bike rent = $8

't' hour charge for the bike rent = $8 [tex]\times t[/tex]

Total Charge for the bike = Charge for renting the bike for t hours + fixed charge

Let 'C' be the total charge, so the equation becomes:

[tex]C = 8t + 16[/tex]

Given that C is $72, we need to find t:

[tex]72 = 8t+16\\\Rightarrow 8t=72-16\\\Rightarrow 8t=56\\\Rightarrow t = 7\ hours[/tex]

So, he rented the bike for 7 hours.

The equation is: [tex]C = 8t + 16[/tex]

Answer:

A

Step-by-step explanation:

the triangles share one angle and they have two equal sides

Answer:

[tex]2[/tex]

Step-by-step explanation:

In order to find the answer to this question use PEMDAS and solve.

[tex]10+(8\times3)-32[/tex]

P goes first:

[tex]8\times3=24[/tex]

[tex]10+24-32[/tex]

A goes next:

[tex]10+24=34[/tex]

S goes last:

[tex]34-32=2[/tex]

[tex]=2[/tex]

Hope this helps.

Answer:

2

Step-by-step explanation:

10 + (8 x 3) - 32

So I’m assuming the x represents multiplication

10 + (8*3) - 32

In Pemdas parenthesis is always first

(8*3)=24

10+24-32

Then addition

10+ 24=34

34-32=2

Answer:

Answer is C. 0.58

Step-by-step explanation:

22/38 = 0.57 something rounded to 58

Answer:

y=-6x+1

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

-7+4x+10=15-2x

combine like terms

4x+3=15-2x

add 2x to both sides

6x+3=15

subtract 3 on both sides

6x=12

divide 6 on both sides

x=2

Answer:

the following model the membership cost is p=250+42m

Answer:

x=8.5

y=-3.5

Step-by-step explanation:

lets say  x=5-y

substituting x in the other equation gives -3(5-y)+2y=5

-15+3+2y=5

2y=5+15-3

2y=17

y=8.5

from equation 1    : x+8.5=5

x=5-8.5

x=-3.5

Answer:

Please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment...

Answer:

Circumference

(22÷7)×14.7×2 = 92.4cm

The answer that line of best fit, how many toys were sold 13 days after the store opened is A.) 195

Answer:

Here,

The length of an arc of a sector with theta nag radius'r' is:

[tex] \frac{theta}{360} 2\pi \: r[/tex]

CD=?

Radius=7.9 cm

theta=66.4

Length of CD

[tex] \frac{66.4}{360} \times 2 \times \pi \times 7.9 \\ = \frac{66.4}{360} \times 2 \times 3.14 \times 7.9 \\ = 9.1506 \\ = 9.2 \: cm[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

I DUNNO

Step-by-step explanation:

Answer:

BC = 19.371

Step-by-step explanation:

Use the cosine ratio:

Cos(71°) = 6.3/BC

BC = 6.3/Cos(71°)

BC = 19.371 cm

That's it, Best Regards!

Answer:

C

Step-by-step explanation:

Answer:

Original Coordinates: (-4, 5)

Step-by-step explanation:

We simply take the opposite directions to find our original coordinates.

Step 1: Translate 3 units down

(-4, -2) --> (-4, -5)

Step 2: Reflect over x-axis

(-4, -5) --> (-4, 5)

Answer:

  16, 18, 20

Step-by-step explanation:

We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...

  √(980/3) ≈ 18.09

The integers are 16, 18, 20.

_____

Check

  16^2 +18^2 +20^2 = 256 +324 +400 = 980

Answer:

16, 18, 20

Step-by-step explanation:

Let the three consecutive even integers be (x - 2), x, (x + 2)

[tex] \therefore \: {(x -2 )}^{2} + {x}^{2} + {(x + 2)}^{2} = 980 \\ \therefore \: {x}^{2} - 4x + 4 + {x}^{2} + {x}^{2} + 4x + 4 = 980 \\ \therefore \: 3{x}^{2} + 8 = 980 \\ \therefore \: 3{x}^{2} = 980 - 8 \\ \therefore \: 3{x}^{2} = 972 \\ \\ \therefore \: {x}^{2} = \frac{972}{3} \\ \\ \therefore \: {x}^{2} = 324 \\ \therefore \: x = \pm \sqrt{324} \\ \therefore \: x = \pm \: 18 \\ \because \: x \: is \: even \: integer \\ \therefore \: x \neq - 18 \\ \therefore \: x = 18 \\ \\ x - 2 = 18 - 2 = 16 \\ x = 18 \\ x + 2 = 18 + 2 = 20 \\ [/tex]

Hence, three consecutive even integers are : 16, 18, 20.

Answer:

  18x +16y +4

Step-by-step explanation:

The area is the product of length and width, so the length is ...

  A = LW

  L = A/W = (72xy +18x)/(9x) = 8y +2

The perimeter is double the sum of length and width:

  P = 2(L +W) = 2(8y +2 +9x)

  P = 18x +16y +4 . . . . the perimeter of the sandbox

Answer:

D. Cost

Step-by-step explanation:

In a scatter diagram we have that the x axis corresponds to the explanatory variable or also called the independent variable, since it is the value that is entered in the equation and does not depend on another.

While the y-axis corresponds to the response variable or also called the dependent variable since it is the value of the result of the equation

In this case, the explanatory variable is weight, that is, on the x-axis the weight would go and the cost is the response variable and would go on the y-axis, therefore, the answer is D. Cost

Answer:

The best option is B: X' = (-7,-4), Y' = (-2,6), Z'=(8, 3).

Step-by-step explanation:

Each vertex can be represented as a vector with regard to origin.

[tex]\vec X = -4\cdot i + 7\cdot j[/tex], [tex]\vec Y = 6\cdot i + 2\cdot j[/tex] and [tex]\vec Z = 3\cdot i -8\cdot j[/tex].

The magnitudes and directions of each vector are, respectively:

X:

[tex]\|\vec X\| = \sqrt{(-4)^{2}+7^{2}}[/tex]

[tex]\|\vec X\| \approx 8.063[/tex]

[tex]\theta_{X} = \tan^{-1}\left(\frac{7}{-4} \right)[/tex]

[tex]\theta_{X} \approx 119.744^{\circ}[/tex]

Y:

[tex]\|\vec Y\| = \sqrt{6^{2}+2^{2}}[/tex]

[tex]\|\vec Y\| \approx 6.325[/tex]

[tex]\theta_{Y} = \tan^{-1}\left(\frac{2}{6} \right)[/tex]

[tex]\theta_{Y} \approx 18.435^{\circ}[/tex]

Z:

[tex]\|\vec Z\| = \sqrt{3^{2}+(-8)^{2}}[/tex]

[tex]\|\vec Z\| \approx 8.544[/tex]

[tex]\theta_{Z} = \tan^{-1}\left(\frac{-8}{3} \right)[/tex]

[tex]\theta_{Z} \approx 290.556^{\circ}[/tex]

Now, the rotation consist is changing the direction of each vector in [tex]\pm 90^{\circ}[/tex], which means the existence of two solutions. That is:

[tex]\vec p = r \cdot [\cos (\theta \pm 90^{\circ})\cdot i + \sin (\theta \pm 90^{\circ})\cdot j][/tex]

Where [tex]r[/tex] and [tex]\theta[/tex] are the magnitude and the original angle of the vector.

Solution I ([tex]+90^{\circ}[/tex])

[tex]\vec p_{X} = 8.063\cdot [\cos (119.744^{\circ}+90^{\circ})\cdot i + \sin (119.744^{\circ}+90^{\circ})\cdot j][/tex]

[tex]\vec p_{X} = -7\cdot i -4\cdot j[/tex]

[tex]\vec p_{Y} = 6.325\cdot [\cos(18.435^{\circ}+90^{\circ})\cdot i+\sin(18.435^{\circ}+90^{\circ})\cdot j][/tex]

[tex]\vec p_{Y} = -2\cdot i +6\cdot j[/tex]

[tex]\vec p_{Z} = 8.544\cdot [\cos(290^{\circ}+90^{\circ})\cdot i +\sin(290^{\circ}+90^{\circ})\cdot j][/tex]

[tex]\vec p_{Z} = 8.029\cdot i +2.922\cdot j[/tex]

Solution II ([tex]-90^{\circ}[/tex])

[tex]\vec p_{X} = 8.063\cdot [\cos (119.744^{\circ}-90^{\circ})\cdot i + \sin (119.744^{\circ}-90^{\circ})\cdot j][/tex]

[tex]\vec p_{X} = 7\cdot i +4\cdot j[/tex]

[tex]\vec p_{Y} = 6.325\cdot [\cos(18.435^{\circ}-90^{\circ})\cdot i+\sin(18.435^{\circ}-90^{\circ})\cdot j][/tex]

[tex]\vec p_{Y} = 2\cdot i -6\cdot j[/tex]

[tex]\vec p_{Z} = 8.544\cdot [\cos(290^{\circ}-90^{\circ})\cdot i +\sin(290^{\circ}-90^{\circ})\cdot j][/tex]

[tex]\vec p_{Z} = -8.029\cdot i -2.922\cdot j[/tex]

The rotated vertices are: i) X' = (-7,-4), Y' = (-2,6), Z'=(8.029, 2.922) or ii) X' = (7,4), Y' = (2,-6), Z' = (-8.029, -2.922). The best option is B: X' = (-7,-4), Y' = (-2,6), Z'=(8, 3).

Answer:

[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]

Step-by-step explanation:

Given that there is a collection of nickels and quarters.

Let N be the number of coins of nickels and

Q be the number of coins of quarters.

It is given that total number of coins are 32.

Number of coins of nickels + Number of coins of quarters = 32

[tex]\therefore \bold{N+Q=32}[/tex] is the first equation.

Now, we know that value of a one quarter coin is 25 cents or [tex]\$\frac{25}{100} = \$0.25[/tex]

and value of a one nickel coin = 5 cents = $0.05

Total value of all nickel coins = Number of nickel coins [tex]\times[/tex] value of one nickel coin = [tex].05N[/tex]

Similarly,

Total value of all quarter coins = Number of quarter coins [tex]\times[/tex] value of one quarter coin = [tex].25Q[/tex]

Total value of coins is 3 dollars.

[tex]\therefore \bold{.05N + .25Q = 3.00}[/tex] is the second equation.

So, the answer is:

[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]