sara bought x pounds of chocolate covered raisins, which sell for $1.50 a pound, and y pounds of yogurt covered raisins, which sell for $1.20 a pound. sara bought a total of 40 pounds of the two types of raisins for a total of $51.90." help me write a system of equations to model this scenario

Answers

Answer 1
x+y=40
1.50x+1.20y=51.90

i don't think u need me to solve it but ill do it anyway, so there's 3 methods: graphing, elimination, and substitution

substitution's my fave so that's what imma do

x+y=40
-x -x
y=40-x

1.50x+1.20(40-x)=51.90
1.50x+48-1.20x=51.90
.30x+48=51.90
-48 -48.00
.30x=3.9
divide both sides by .30
x=13 so 13 pounds of chocolate covered raisins

bring back the other equation
x+y=40
13+y=40
-13 -13
y=27 so 27 pounds of yogurt covered raisins

Related Questions

Solve the system by substitution.
x – 4y = -8
5у – 1 = x
Submit Answer

Answers

Answer:

y = -7 and x = -36

Step-by-step explanation:

x - 4y = -8

5y - 1 = x

→ Substitute 5y - 1 into x - 4y = -8

5y - 1 - 4y = -8

→ Simplify

y - 1 = -8

→ Add 1 to both sides

y = -7

→ Substitute y = -7 into 5y - 1

( 5 × -7 ) - 1 = -36

Answer:

The solution is (-36, -7)

Step-by-step explanation:

Since 5y - 1 = x, we can replace x in the first equation by 5y - 1:

5y - 1 - 4y = -8

Collecting like terms, we get:

y = -7

If y = 7, then by the second equation x = 5(-7) - 1 = -36

The solution is (-36, -7)

Pleaser help me I’m confused

Answers:

A:section A

B: section B

C: Section C

D: Section D

Answers

Answer:

SECTION C (i think)

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

section c

it's square root is 4.123......

Helppp I really need this question answered

Answers

Answer:

32.5 units²

Step-by-step explanation:

We can find the area by dividing the figure into two shapes. If we solve for the area of a square and a triangle, we can add them together.

First, we can solve for the area of the 5x5 square. To find the area, we can multiply the two dimensions.

5 · 5 = 25 units²

Next, we can find the area of the triangle. It has an equal height to the square, so the height of the triangle is 5 units. The width isn't specified. Instead, we are shown that the width of both the square and the triangle equals 8 units. If we subtract the width of the square from the total, we can find the width of the triangle, too.

8 - 5 = 3

So, the height and the width of the triangle are 5x3. To find the area we can multiply these together, and then divide the product by two.

5 · 3 = 15

[tex]\frac{15}{2}[/tex] = 7.5

The area of the triangle is 7.5 units².

Finally, we can add the area of the triangle and the square together.

25 + 7.5 = 32.5

The area of the figure, then, is 32.5 units².

The answer is the last option.

I hope this helps ^^

Sam's fish tank has a base area of 187in.? and a height of 16 inches. His fish tank is shown.

16 in.

A = 187 in 2

The tank is currently full of water. How many cubic inches of water should be added to completely fill the tank?

3

® 997 in.

2

B 1,994-

4,488in.3

D 2,992in.

Answers

Answer:

D. 2992 cubic inches of water

Step-by-step explanation:

Given data

Base Area= 187in^2

Height of 16 inches

The expression for the volume of a rectangular shaped tank is

V= Area*Height

substiute

V= 187*16

V=2992 in^3

Hence the volume is 2992 cubic inches of water

Pls help me I’m failing :(

Answers

No solution answers:
x + 4 = x + 2
5 = 4
4x = 5x

Infinite solutions:
5 = 5
2(3x + 2) = 6x + 4
7x = 7x

How could you calculate the value of log11(9100) using a calculator? What does it equal (round to the nearest tenths place)?

Answers

I don’t know gjcdjdveudvdudhsvudbfvfif

Can someone solve for the question mark?

6x + ? = 10

Answers

Theirs no such thing lol
Depends, the lowest being X=1 and it being 6 alone
6(1) + ? = 10

the scatterplot shows the number of hours that 12 people spent learning to type on a keyboard and each persons average typing speed. Based on the scatterplot, what is the best prediction of a persons average typing speed in words per min. if the person has spent 70 hours learning to type?

Answers

Answer:

85 wpm

Step-by-step explanation:

From the scatter plot, we can see the following;

At 20 hours, average typing speed = 34 wpm

At 30 hours, the average typing speed = 40 wpm

At 40 hours, the average typing speed = 51 wpm

At 50 hours, the average typing speed = 65 wpm

Average differences = ((40 - 34) + (51 - 40) + (65 - 51))/3 = 10.3

Approximating to a whole number = 10

Now, we can approximate that at 60 hours, average typing speed = 65 + 10 = 75 wpm

At 70 hours, the average typing speed = 75 + 10 = 85 wpm

Answer:

85 wpm

Step-by-step explanation:

I took this test!

how do I graph this linear equation?
4x+6y=-12​

Answers

Answer: Simplifying

Step-by-step explanation:

Simplifying

4x + 6y = 12

Solving

4x + 6y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

4x + 6y + -6y = 12 + -6y

Combine like terms: 6y + -6y = 0

4x + 0 = 12 + -6y

4x = 12 + -6y

Divide each side by '4'.

x = 3 + -1.5y

Simplifying

x = 3 + -1.5y

Then you get your answer I think or hopeful get your answer. I hoped this helped!

Factor the expression (s):

7x+63

12x+15

36z+60

Answers

The answer for the first one is 7(x+9)
The answer for the second one is 3(4x+5)
The answer for the third one is 12(3z+5)

Zoe works in a bakery. She uses 250 milliliters of milk to make a loaf of bread. How many liters of milk will she need to make 15 loaves of bread?

Answers

Answer: 3.75 liters

Step-by-step explanation:

Zoe uses 250 milliliters of milk to make a loaf of bread.

If she needed to make 15 loaves therefore, she would do the following:

= 250 * 15 loaves

= 3,750 milliliters of milk

Then convert the above quantity to liters.

1 Liter = 1,000 milliliters.

3,750 milliters to liters is:

= 3,750 / 1,000

= 3.75 liters

Use the triangle shown to answer the questions that follow.
15 m
X
32
a) Using the 32° as the reference angle, label the hypotenuse (h), adjacent (a) and opposite (0).
b) Which trig function (cos, sin, or tan) could be used to solve for x?
c) Solve for x.

Answers

Answer/Step-by-step explanation:

a. Given that 32° is the reference angle, thus:

Hypotenuse is the side opposite to the right angle

Opposite side is opposite to the defence angle = x

Adjacent side is adjacent to defence angle = 15 m

b. Recall SOHCAHTOA.

We know the length of the adjacent side. We are asked to find x, which is the opposite side. So, we are dealing with Opposite side and Adjacent side.

The trigonometric function we will use to find x would be TOA:

That is,

Tan θ = Opp/Adj

c. Applying TOA:

Tan θ = Opp/Adj

θ = 32°

Opp = x

Adj = 15 m

Plug in the values

Tan 32 = x/15

15 × Tan 32 = x

9.37304028 = x

x = 9.4 (nearest tenth)

please help me! I'd be filled with so much gratitude

Answers

Answer:

0

Step-by-step explanation:

-9 x (0/-3)

-9 x 0

0

Please answer correctly!

Answers

Answer:

B. 1296 m^3

Step-by-step explanation:

To find the volume of a square pyramid, multiply the base by itself twice, then divide the height by 3. After getting both answers, multiply the answers.

In this case, the base is 18.

The height is 12.

First, we must multiply the base by itself twice.

18⋅18 = 324.

Next, divide the height by 3.

12/3 = 4.

Now that we have both answers, we multiply them.

324 ⋅ 4 = 1,296.

Therefore, 1,296 cm^3 is the volume of the square pyramid.

can someone please help me out its important please.

Answers

A=32

You add all the sides

T or F:
When finding the percentage of each section, you have to divide the part by the whole or total amount.

Answers

Answer:

true because you can do that in a amound of the total

5x + 1 = 6x - 8 x= como puedo resolverla

Answers

Answer:

X = 9

Step-by-step explanation:

Write a question that matches this equation:


45-n=15

Answers

Answer:

ayla had 45 cupcakes for the class jayla gave a number out to the cladd Jayla took 15 cupcakes back home what is the does n equal to

A just answer pls I gotta write random words bc the question is a pic

Answers

Answer:

$84

Step-by-step explanation:

HELPPPPPPPPPPPPPPP!!!!!!!

Answers

i think it’s -2 and 10 but sorry if i am wrong btw the 10 is on the left and -2 on the right

Answer:

I feel like the answers are 10 and -2

Step-by-step explanation:

Hope this helps! Have a great day and good luck! :)

y=-3x + 4
y = 3x - 2
What solution does this system have? How do you
know? Justify(explain).

Answers

Use substitution
Set them equal to each other
-3x + 4 = 3x - 2
Solve the equation
4 = 6x - 2
6x = 6, x = 1
Plug in 1 for any equation to find y
Y = -3(1) + 4
Y = -3 + 4, y = 1
Solution: x = 1, y = 1

Can some plz help me

Answers

This is a guess but I think 24 hope I helped :))

A cylindrical canister has a radius of 7 cm and a height of 16 cm. Find the volume of
the canister.
pls show your work thx pls help me will give brainly.

Answers

Answer:

7/16 = 0.4375

Step-by-step explanation:

sry

Which equation represents a circle with a center at -3, -5) and a radius of 6 units?
O (x - 3)2 + (-5)2 = 6
0 (x - 3)2 + (-5)2 = 36
O (x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
Mark this and retum
Save and Exit
Next.fm
Submit

Answers

Answer:

(x+3)²+(y+5)² = 36

Step-by-step explanation:

The general equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given

Centre (-3, -5)

a = -3 and b = -5

radius r = 6units

Substitute

(x-a)²+(y-b)² = r²

(x-(-3))²+(y-(-5))² = 6²

(x+3)²+(y+5)² = 36

hence the required equation is (x+3)²+(y+5)² = 36

The equation of a circle that represents a circle with a center at (-3, -5) and a radius of 6 unit is (x + 3)² + (y + 5)² = 36

Equation of a circle

The general equation of a circle is expressed as follows:

(x-a)²+(y-b)² = r²

where

r = radius of the circlea and b are the centre of the circle

Therefore,

a = -3

b = -5

r = 6

Hence,

(x - (-3))² + (y - (-5))² = 6²

(x + 3)² + (y + 5)² = 36

learn more on circle here: https://brainly.com/question/22718701

#SPJ5

If the volume of the cylinder is 502.4 in?, what is the radius of
the base of the cylinder? Use 3.14 for i and enter your answer
as a whole number.
h=10 in
r= in.

Answers

Answer:

radius of the base of cylinder = 4 in

Step-by-step explanation:

Volume of cylinder = pi x r² × h

502.4 = 3.14 x r² x 10

502.4 = 31.4 x r²

r² = 502.4/31.4

r² = 16

r = 4 in

The drawing below shows circle B and circle E.Which equation best describes the relationship between BC and EF?

Answers

Answer:

BC = 3(EF)

Step-by-step explanation:

The question stated that AC is 3 times the length of DF.

Answer:

BC = 3(EF)

Step-by-step explanation:

Remember that AC is 3 times the length of DF

QUESTION 4
Factorise fully:
4.1.1
12x² – x - 6​

Answers

Answer:

y = (4x - 3)(3x + 2)

Step-by-step explanation:

Factorization is the process of taking like terms out of number such that one can rewrite an expression by its factors, or as the products of serval smaller expressions.

The first step to factoring an equation is to rewrite the linear term as the sum or difference of two other linear terms. One must do this in such as way that it shares a common factor with one of the other terms in the expression.

[tex]12x^2 -x - 6[/tex]

[tex]12x^2 -9x + 8x - 6[/tex]

Take out the common factor,

[tex]3x(4x-3)+2(4x-3)[/tex]

Factor,

[tex](3x+2)(4x-3)[/tex]

Factor as the product of two binomials.
x^2-3x+2=

Answers

Answer:  (x - 2) (x - 1)

Step-by-step explanation:

x²-3x+2

= (x - 2) (x - 1)

A Ferris wheel car moves from point C to point D on the circle shown below:

Circle A is shown with points C and D on the circle and the central angle C A D marked 42 degrees. The diameter is 30 feet.

HELP NOW!! 100 POINTS!!! What is the arc length the car traveled, to the nearest hundredth?

7.91 feet
8.32 feet
10.99 feet
11.89 feet

Answers

Answer:

10.99

Step-by-step explanation:

Took the test and it said it was this one :)

The arc length of the car traveled, to the nearest hundredth is 10.99feet

The formula for calculating the length of an arc is expressed as:

L = theta/360 × 2pi r

Given that

Radius r = d/2 = 30/2 =15ft

theta = 42 degrees

pi = 3.14

Substitute the given values into the formula as shown

L = 42/360×2(3.14)(15)

L = 42/360×94.2

L = 3956.4/360

L = 10.99feet

This shows that the arc length of the car traveled, to the nearest hundredth is 10.99feet

Learn more here: https://brainly.com/question/16117492

A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is the closest to the circumference of the circle in meters?

Answers

Answer:

The closest measurement is 69 meters.

Step-by-step explanation:

We already know that 22 meters is the diameter and to find the circumference you need to multiply the diameter with π. We don't know π, so we are going with 3.14. When you multiply 22 and 3.14 together, you get 69.08 meters. You round the answer to the nearest meter, so it's 69 meters. So, the closest measurement is 69 meters.

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