calculate the unit rate for each option and determine which one is the best buy.

$800 for 33 pairs of shoes

$625 for 25 pairs of shoes

Answer:

44 48

Step-by-step explanation:

Answer:

2018, 2004

Step-by-step explanation:

substitute C(t) for 1274 because it's the cost

1274=6(t-11)^2+980

6(t-11)^2=294

(t-11)^2=49

x-11=7 x-11=-7

x=18, x=4

Answer:

2018, and 2004.

Step-by-step explanation:

do the math "using Your heads".

Answer:

There were 140 tickets sold that cost $15 and 160 tickets sold that cost $20.

Step-by-step explanation:

To solve this problem, we should create a system of equations. Let's let the variable x represent the number of $15 tickets sold and let the variable y represent the number of $20 tickets sold. Using these variables, we can make the following equations:

x + y = 300

15x + 20y = 5300

To solve this equation, we can use substitution. Our first step in this case is solving the first equation for one variable; let's choose x.

x = 300 - y

Now, we can substitute this value for x into the second equation.

15(300-y) + 20y = 5300

Next we can distribute through the parentheses on the left side of the equation.

4500 - 15y + 20y = 5300

We can combine like terms on the left side of the equation to simplify.

4500 + 5y = 5300

We should then subtract 4500 from both sides of the equation.

5y = 800

Finally, we can divide both sides of the equation by 5.

y = 160

To solve for x, we can substitute this value for y into either of our original equations, but we should probably choose the first one for simplicity.

x + y = 300

x + 160 = 300

x = 140

Therefore, x = 140 and y = 160; this means that 140 $15 tickets were sold and 160 $20 tickets were sold.

Hope this helps!

Your father will require 14.6 cups of sugar for the larger group

From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;

6 people = 2.5 cups of sugar

In order to calculate for 35 people, we will have;

35 people  = x

Taking the ratio of the expressions

6/35 = 2.5/x

6x = 87.5

x = 87.5/6

x = 14.6

Hence your father will require 14.6 cups of sugar for the larger group

Learn more on ratio and proportions here: https://brainly.com/question/19994681

Answer:

  $21,623.70

Step-by-step explanation:

A suitable financial calculator can compute the beginning balance and the remaining balance for you. The attachments show a TI-Nspire calculator's TVM solver app being used to answer this question.

The first attachment shows the computation of the loan value. It is about $37,624.54.

The second attachment shows the computation of the remaining balance after 16 of the 32 semi-annual payments have been made.

The loan balance 8 years from the end of the loan will be about $21,623.70.

Answer:

Step-by-step explanation:

[tex]tan \ 32 = \dfrac{opposite \ side}{adjacent side}\\\\\\0.6 = \dfrac{GF}{HF}\\\\0.6=\dfrac{11}{HF}\\\\\\0.6*HF = 11\\\\HF = \dfrac{11}{0.6}[/tex]

HF = 18.3

[tex]Sin \ 32 =\dfrac{opposite \ side}{hypotenuse}\\\\\\0.5=\dfrac{GF}{GH}\\\\\\0.5=\dfrac{11}{GH}\\\\\\0.5*GH=11\\\\GH=\dfrac{11}{0.5}\\\\\\GH = 22[/tex]

∠G = 180 - (90 +32)

     = 180 - 122

    = 58°

Step-by-step explanation:

= -15x²-24x-35x-56

= -15x²-59x-56

Answer:

1; 4; 3;

Step-by-step explanation:

i think this involves ratios>> if not, sorry-

Answer: 8 inches

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the short side to the long side is 1/sqrt(3).

Therefore the short side is the long side divided by sqrt(3).

So the short side = 8 sqrt(3)/sqrt(3) = 8 inches

Step-by-step explanation:

so, she spent 25-16.39 = $8.61 on the ribbon.

1 yard of the ribbon costs $0.21.

how many yards did she buy with that amount of money ?

well, as many times as 0.21 fits into 8.61 :

8.61 / 0.21 = 41

so, she bought 41 yards of ribbon.

I'm happy to help you today!

Answer:

41 yards is correct

Step-by-step explanation:

Step 1. The information we have is:

Originally Jane had $25 on her debit card.

She made a purchase of bulk ribbon for 21 cents per yard.

And after that she ended up with $16.39 on the card.

Step 2. Make an equation to describe the situation.

The equation that describes this situation is:

[tex]\tt 25-0.21y=16.39[/tex]

Where 25 is the initial amount and to that, we subtract 0.21y, where y is the number of yards that she bought of ribbon. And all of this has to be equal to the final amount of 16.39.

Step 3. Solve the equation for y:

To solve for y, we subtract 25 to both sides of the equation:

⇒ [tex]\tt-0.21y=16.39-25[/tex]

⇒ [tex]\tt -0.21y=-8.61[/tex]

Then, divide both sides of the equation by -0.21:

[tex]\tt y=\frac{-8.61}{-0.21}[/tex]

The result is:

[tex]\tt y=41[/tex]

The answer is 41 yards of ribbon.

[tex]-Nature-[/tex]

Answer:

The answer is 1920 cm

Step-by-step explanation:

First we need to break up to two separate shapes. These shapes are both rectangles, one on the right and one on the left.

To find the volume of a Prism, the equation is V=lwh (length x width x height).

So by splitting up the shape we have two different equation

V= (10)(8)(14) =1120

V= (10)(8)(10)=800

Now we add 1120+800 to get the volume of the entire shape, which is 1920 cm.

Answer: B

Step-by-step explanation:

Setting the equations equal to each other,

-5x-8 = 4x+1

-8 = 9x + 1

-9 = 9x

x = -1, meaning y=-5(-1)-8 = -3.

Answer:

first blank box:

cos^2(a)

second blank box:

sin^2(a)

see image.

Step-by-step explanation:

Usually, to "verify" you work on the equation using algebra and identities...BUT ONLY CHANGING ONE SIDE. Keep the other side the same and try to make them look the same.

The step to get what's in the first blank box is multiplying

(1-cos a)(1+cos a)

which will make a difference of two squares.

The second blank is using a pythagorean identity that

cos^2 + sin^2 = 1

so

1 - cos^2 = sin^2

see image.

Answer:

30 points

Step-by-step explanation:

Points by Jenna = J

=> J - 18 = 12

=> J = 30 points

Answer:

slope is -1, y-intercept is -1

Step-by-step explanation:

x+y=-1

convert to slope-intercept form

y=-x-1

y=-1x-1

slope is -1, y-intercept is -1

Solution:

Let's convert the equation into slope-intercept form.

In this equation, the slope is the coefficient of x.

The following points can be made:

The y-intercept of the equation will be a constant.

The following points can be made:

In conclusion...

Answer:

2x(57x74)94

Step-by-step explanation:

Formula for area of a triangle is 1/2 x base x height.

musing the information given you have:

360 = 1/2 x base x 18

First multiply both sides by 2:

720 = base x 18

Now divide both sides by 18:

Base = 720/18

Base = 40 cm

Solution:

Note that:

Using the formula to find the area:

Answer:

3

Step-by-step explanation:

(7 - 4) * (3 - 2) = 3

The number of friends that can go ice skating is 5.

The total amount spent = cost of the group ticket + total cost of the hot chocolate + total cost of renting the skates

$38.75 = $10 + $4x + $1.75x

Where x represents the total number of friends.

In order to determine the total number of friends, take the following steps:

Combine similar terms

$38.75 - $10 = $4x + $1.75x

Add similar terms

$28.75 = $5.75x

Divide both sides of the equation by 3.75

x = 5

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

13/28

Step-by-step explanation:

26/(26 + 30) = 26/56 = 13/28

Answer:

part A:

[tex]\sf AB^2 = (-2-1)^2 + (1+3)^2[/tex]

[tex]\sf AB^2 =25[/tex]

[tex]\sf AB =5[/tex]

[tex]\sf AC^2 = (2-1)^2 + (4+3)^2[/tex]

[tex]\sf AC^2 = 50[/tex]

[tex]\sf AC = \sqrt{50}[/tex]

[tex]\sf AC = 5\sqrt{2}[/tex]

[tex]\sf BC^2 = (2--2)^2 + (4-1)^2[/tex]

[tex]\sf BC^2 = 25[/tex]

[tex]\sf BC = 5[/tex]

use the formula:

short side² + short side² = long side²

( 5√2 )² + 5² = ( 5√2 )²

75 = 50

It's isosceles

[tex]\\ \rm\hookrightarrow AB=\sqrt{(-2-1)^2+(1+3)^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]

[tex]\\ \rm\hookrightarrow BC=\sqrt{(2+2)^2+(4-1)^2}=\sqrt{16+9}=5[/tex]

[tex]\\ \rm\hookrightarrow AC=\sqrt{(4+3)^2+(2-1)^2}=\sqrt{50}[/tex]

Its isosceles

Answer:

[tex]\sf\blue{triangle \: \: is \: \: congruent \: \: } \\

\sf\huge{by \: \: S.A.S \: axiom \: \: }[/tex]

Answer:

Refer to the attachment for the labelling of the triangles.

In △ABD & △ACD,

AD = AD (common side)

∠A = ∠A (common angle)

AB = AC (equal pair of sides)

•°• △ABD ≅ △ACD (Single-Angle-Side congruence rule → SAS congruence rule)

Hope it helps ⚜

Answer:

1.17219

Step-by-step explanation:

sin(23)=x/3

3 x sin(23)

Answer:

Area is easy, just do 9.68*6.2 which = 60.02 (Rounded to the nearest hundreth)

Step-by-step explanation:

For how many tiles we need

60.02 m is the area of the room, each tile would be 22cmx10cm

There are 100 cm in 1 m

What we can do is find the area of the tiles

22x10 which is 220 CM

220CM is 2.2M

Now that we know the area of the tile is 2.2M we can do 60.02/2.2

Which would be 27.28 tiles (Rounding to the nearest hundreth)