4
Required
Mr. Sanchez's class sold fruit pies for $1.73 each and Mr. Kelly's class sold bottles of fruit juice for $1.44 each.
Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations
that models this prolem. Show all your work!

Answer:

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

⇒ x+2y=11

⇒ x=11-2y

Substitute.

4(11-2y)-y=8

Solve.

Distributive property:

⇒ A(B+C)=AB+AC

4(11-2y)

4*11=44

4*2=8

Rewrite the problem down.

44-9y=8

Subtract by 44 from both sides.

44-9y-44=8-44

Solve.

-9y=-36

Divide by -9 from both sides.

-9y/-9=-36/-9

Solve.

-36/-9=4

y=4

Substitute of y=4.

⇒ x=11-2*4

Use order of operations.

PEMDAS stands for:

11-2*4

Multiply.

2*4=8

Rewrite the problem down.

11-8

Subtract.

11-8=3

x=3

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

3 inches

Step-by-step explanation:

It's like 2 inches, but a little bigger.

Hope this helps and is correct.

Btw it's my birthday.

The sequence Tn = an + b is an arithmetic sequence.

b represents the first term, and a represents the common difference

The general term is given as:

Tn = an + b

The above term is an arithmetic sequence.

An arithmetic sequence is represented as:

Tn = T1 + (n - 1)d

Where T1 represents the first term, and d represents the common difference

By comparing Tn = an + b and Tn = T1 + (n - 1)d, we have:

b = T1

a = d

This means that b represents the first term, and a represents the common difference

Read more about sequence at:

https://brainly.com/question/7882626

Answer:

(2, 4).

Step-by-step explanation:

For y = -x  the transform is:

( x, y )  reflects to (-y, - x)

So (-4, -2) reflects to (2, 4)

Answer:

You didn't include the question, so people are unable to help you.

Answer:

B. 86.625

Step-by-step explanation:

To find the volume of a shape the formula is this, length x width x height. 5.5 x 4.5 x 3.5 = 86.625.

Answer:

-9,4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

right triangle calculator works well

Answer:

104+16π

Step-by-step explanation:

Triangle Formula is bh1/2

Rectangle is lxw

Semicircle is 1/2 π r^2

Answer:

the 2nd one

Step-by-step explanation:

i did the test and got correct

Answer:

0.0000016k

Step-by-step explanation:

1. Solve

2k^4x10k^-7

16k*0.0000001k

0.0000016k

Answer:

A) 38,000

B) 28.6%

Step-by-step explanation:

Answer:

8 a minus 48

Step-by-step explanation:

you need to distribute!!

so you distribute the 8 to both the a and 6

8 times a equals 8 a

8 times 6 equals 48

and so that’s how you get 8 a minus 48 c:

Answer:

8 a minus 48

Step-by-step explanation:

Answer:

A:60.14

B:3,379.95

Step-by-step explanation:

I assume that .007 is supposed to be .07

56.07*1.0725=60.14

B.

36.25 is 1.0725 of ...

3,379.95

36.25 * 0.010725

Answer:

Step-by-step explanation:

Step-by-step explanation:

2x+98=180° (angles in straight line )

2x=180-98

x=2/2

x=1

Answer:

x = 41

Step-by-step explanation:

the 2 angles are adjacent and sum to 180° , that is

2x + 98 = 180 ( subtract 98 from both sides )

2x = 82 ( divide both sides by 2 )

x = 41

[tex]\text{Given that,}\\\\[/tex]

[tex]~~~~~~~\cos \theta = \dfrac 89\\\\\\\implies 2\cos^2 \left(\dfrac{\theta}2 \right) -1 = \dfrac 89~~~~~~;\left[1+ \cos 2\theta = 2\cos^2 \theta \right]\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)= \dfrac 89 +1\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)=\dfrac{17}9\\\\\\\implies \cos^2 \left(\dfrac{\theta}2 \right) = \dfrac{17}{18}\\\\\\\implies \cos \left(\dfrac{\theta}2 \right)=\sqrt{\dfrac{17}{18}}~~~~~~~~~~~;\left[\text{Positive value of} ~\cos \left(\dfrac{\theta}2\right) \right][/tex]

[tex]\implies \cos \left(\dfrac{\theta} 2 \right) =\dfrac{\sqrt{17}}{\sqrt{9 \times 2}}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17}}{3\sqrt 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17} \cdot \sqrt 2}{3\cdot 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{34}}{6 }[/tex]

Answer:

Fraction: 13/30

Decimal: 0.43

Percentage: 43%

The central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

The formula for radian measure to calculate the central angle is given as,

[tex]\theta=\dfrac{s}{r}[/tex]

Here, (r) is the radius of the circle and (θ) is the central angle.

In a circle having a radius of 12 cm and intercepting an arc of 21 cm. Put the value of radius and the length of the arc in the above formula as,

[tex]\theta=\dfrac{21}{12}\\\theta=1.75[/tex]

Thus, the central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

Learn more about the radian measure formula here;

https://brainly.com/question/12939121

Answer:1.75 radians

Step-by-step explanation: edge

Step-by-step explanation:

what is the problem ? you teacher gave you even the conversion rates in the question.

so, when 1 gallon = 3.79 liters, then how much is 4 gallons ?

4 gallons is 4 times 1 gallon. so, of course, we need to apply the same factor to the other side too.

4 gallons = 4×3.79 = 15.16 ≈ 15 liters

and e do the same for all the other table elements :

8 liters = 8×0.26 = 2.08 ≈ 2 gallons

12.5 liters = 12.5×0.26 = 3.25 ≈ 3 gallons

6 gallons = 6×3.79 = 22.74 liters ≈ 23 liters

Answer:

(03,)(4,4(4,6),(5,10)

Step-by-step explanation:

I’m smart I have an A + so it’s correct

Answer:

31° F

Step-by-step explanation:

Although it is hard to see, Saturday's low temperature is approximately 31°. This is evident in its relative position to Friday's temperature, which measures 30° F -- Saturday is just one degree higher.

Hope this helps!

Answer:31

Step-by-step explanation:

Answer:

a) Mean shoe size = 7.8

b) 8.8, 9.8 and 10.8

c) see attached

d) Shoe size

Step-by-step explanation:

[tex]\sf Mean \ \mu= 7.8[/tex]

[tex]\sf Standard \ deviation \ \sigma= 1[/tex]

Therefore,

[tex]\sf 1 \sigma=\mu+1 \sigma=7.8+1=8.8\\\sf 2 \sigma=\mu+2 \sigma=7.8+2 \cdot 1=9.8\\\sf 3 \sigma=\mu+3 \sigma=7.8+3 \cdot 1=10.8[/tex]

Answer: See attached

Step-by-step explanation:

    "Root 9.8" means the square root of 9.8, [tex]\sqrt{9.8}[/tex].

    Since we are being asked to find it on the number line, I am guessing they want us to estimate. We know that the square root of 9, [tex]\sqrt{9}[/tex], is equal to 3. Since 9.8 is slightly bigger than 9, the square root of 9.8 will be a little bit over 3.

   Want to confirm? Using a calculator for the square root of 9.8 gives us 3.13.

Answer:

- 2

Step-by-step explanation:

Slope, m = (y1-y2)/(x1-x2)

              = ( -3 -1)/(-2- -4) =

                       -4 / ( 2) = - 2

Sloep:-

Answer:

pi/4

Step-by-step explanation:

diameter of the circle is 2
area of circle = pi * r^2
A = pi * 1^2
A = 1pi
1/4th of the area so
pi/4

Loss amount:-

Hence

Selling price:-

Answer:

1276 rupees

Step-by-step explanation:

Given

Solving

Answer:

Step-by-step explanation:

Rotate triangle DEF 90° and translate it up 1 point, and left 2 points.

Answer:

i dont know i tried really really hard i wish i could help

Step-by-step explanation:

Answer:

66°

Step-by-step explanation:

mJK = ( 6x - 45 )°

mJH = ( x + 20 )°

mJK = mJH

6x - 45 = x + 20

5x = 65

x = 13

mHK = ( x + 20 )° + ( 6x - 45 )°

mHK = 2 × 33° = 66 °