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

What is |6 3/8 - 2| + |-8 5/8 + (-1)|?

Answers

Answer:

14

Step-by-step explanation:

Which equation is not equivalent to 2x+10=-8

Answers

Answer:

2x+10=-8

x=9

3x=9

x=3

2x=8

x=4

4x=20

x=5

Step-by-step explanation:

Two number cubes are rolled.
What is the probability that the first lands on an odd number and the second lands
on an even number?
Simplify your fraction.
O / 을
0 O
3

Answers

Answer:

cubes have 6 numbers

3 odd, 3 even

Step-by-step explanation:

probablity=desiredoutcome/totalpossibleoutcomes

there are 6 total desired outcomes (3 on each cube)

total possible, there are 6*6 or 36 total possible outcomes

so 6/36 or 1/6 chance

6x²-15x=0

If possible use the quadratic formula​

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Two points are located at (−3,5)
-3
,
5
and (6,1)
6
,
1
.

Complete the equations below to show how you can use the Pythagorean theorem to find the distance between these two points

Answers

Answer:

The distance would be [tex]\sqrt{97[/tex].

Step-by-step explanation:

The least distance between them would be to draw a straight line between them.

By calculating the distance between the y values and the x values, you can calculate the distance.

y values:

|5 - 1| = 4

x values:

|6 - -3| = 9

| | = the absolute value, meaning you change the final sign to positive.

Use the Pythagorean theorem [tex]a^2 +b^2=c^2[/tex] and substitute the numbers in.

[tex]4^2 + 9^2=c^2 \\c^2 = 97\\c=\sqrt{97[/tex]

What do a rectangle and a rhombus have in common? Select all that apply.


Their angle measures add to 360°.
They have four right angles.
They have four congruent sides.
The opposite sides are parallel.

Answers

The opposite sides are parallel.

Their angle measures add to 360°

What is the volume of a box with 385 cubes and 11/3 x 5/3 x 7/3

Answers

Answer:

y

=

x

2

2

x

,  

y

=

x

Step-by-step explanation:

Choose the equation that best describes the situation below.
The Houston Rockets scored 66 points in the second half. There are 24 minutes in a half. What was their average number of points per
minute?
p=points per minute

Answers

That would just be

66/24, as there is 24 minutes in a half

66/24=2.75 points

p = 2.75 points per min

what is the fraction for 0.875?

Answers

Answer:

7/8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

simplify 875/1000

The bat population in a certain Midwestern county was 270,000 in 2012, and the observed doubling time for the population is 34 years.

Answers

What’s the question?

What is (-49(49 x 5982+3)^2

Answers

-4.2100761e+12 your welcome

Answer:

[tex] - 49 \times (49 \times 5982 + 3) {}^{2} \\ = - 49 \times 85919920641 \\ = - 4,210,076,111,409[/tex]

A trainee in a computer company takes 0.9 times as long to assemble each computer as
he took to assemble the preceding computer. If it took him 30 minutes to assemble the
first computer, find the total time he takes to assemble the first five computers (round to
the nearest minute)
221,430 minutes
123 minutes
122 minutes
103 minutes

Answers

The total time he takes to assemble is 123 minutes.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

for second, 30*0.9=27

for third, 27*0.9 = 24.3

Similarly for the fifth computer,

=21.87*0.9

=19.68 minutes

Total time taken,

=30+ 27 +24.3+21.87+19.68

=122.553

=123 minutes.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

can you guys help me asap

Answers

the answer should be D.

A sprinkler waters a circular area. The sprinkler sprays 30 gallons of water per minute.
Select as few quadrants as possible that would allow you to create a graph of the total number of gallons of water,
y, sprayed by the sprinkler after x minutes.
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4

Answers

Answer:

Quadrant 1

Step-by-step explanation:

The number of gallons of water sprayed after x minutes would never be negative, nor would time be negative, so the first quadrant would be all that you need

Graph on a coordinate plane P(-3,-5)

Answers

Answer:

Answer is in the image below

Answer:

P is simply the mark or letter that the point will be called. In this case we have -3,-5. You will move left 3 spaces from the origin and down 5 places from the spot you marked -3. After that will be point P

Solve the word problem using the plotted points on the graph.

Answers

Answer:

In the graph, we can see that the relation between length and weight is given by the adjusted line, which passes through the points (24, 16) and (28, 25)

Remember that a linear relation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be calculated as:

a = (y₂ - y₁)/(x₂ - x₁)

Then in our case, the slope will be:

a = (25 - 16)/(28 - 24) = 9/4

y = (9/4)*x + b

Knowing that this line passes through (24, 16), we know that when x = 24, y must be equal to 16.

If we replace these in the equation, we can find the value of b.

16 = (9/4)*24 + b

16 = 54 + b

16 - 54 = b - 38

Then the equation is:

y = (9/4)*x - 38

Now that we know the equation, we can simply replace y by 34 pounds to find the value of x.

34 = (9/4)*x - 38

34 + 38 = (9/4)*x

72*(4/9) = x = 32

So we can estimate that the length of a fish that weighs 34 pounds is 32 (I do not know the unit of length, I can't see the horizontal axis on the image)

I need steps for this (need answers asap)

Answers

Answer:

(2x-7)(x+12)

Step-by-step explanation:

2x²+17x-84

(2x     )(x     )

We were told to use 7 and 12 to equal 84. Let's try 12 in the first bracket and 7 in the second:

(2x  12)(x   7): (2x)(7) and (12)(x) = 14x and 12x, which we cant make 17x from

Now let's try 7 in the first bracket and 12 in the second:

(2x   7)(x   12): (2x)(12) and (7)(x) = 24x and 7x, which we CAN use to make 17x if the 7x is negative, ie place a '+' before the twelve in the second bracket and a '-' before the seven in the first bracket.

(2x-7)(x+12)

Double check: (2x-7)(x+12)=2x(x+12)-7(x+12)=2x²+24x-7x-84=2x²+17x-84

Please help me with the question

Answers

Answer:

3

Step-by-step explanation:

Since it's at the same time of the day, the ratio between the height of the person and the shadow they cast will stay the same. So the man's height to shadow ratio is 6:8 = 3:4. The son's height to shadow ratio would be the same so x:4 = 3:4 therefore his height is 3 feet.

At a school play, an elementary school is accepting donations for a toy drive. An average donation of $8 per person is anticipated. The cost of the set design and costumes is $750, advertising in a local newspaper is $125, and posters to announce the concert cost is $89.

HELP HELP MEEEEE !!!!!

Answers

Answer:

sorry

Step-by-step explanation:

im totataly lost:( (needs help)

Answers

Answer:

B)All the real numbers

Step-by-step explanation:

the given Graph is Parabola

so the function has to be quadratic

we know that the domain of a quadratic function is always [tex]x\in\mathbb{R}[/tex]

hence, our answer is B

corine in making potato salad for each bowl of potato salad she needs 1/4 cup of potatoes how many cups of potatoes will she use if she makes 32 bowls of potato salad ?

Answers

Answer:

8 cups of potatoes are needed

Step-by-step explanation:

One way of doing this work is to write out

1/4 cup                                             1 cup

------------- , which is equivalent to  ------------ (a unit rate)

 1 bowl                                              4 bowl

and then multiply this unit rate by 32 bowls:

(1/4)(32 bowls) = 8 cups of potatoes are needed

Simplify this expression

Answers

I think this would be 7st^6 u^8 v^4 because the other two terms cancel each other out.

A rectangle field is 3 times as long as it is wide. If the perimeter of the field is 280 yards, what are the fields dimensions

Answers

10 yards by 30 yards.


Length 105 by 35 Width

280/4
70
70*3=210
70*1=70
210/2=105
70/2=35

105 by 35
Sorry if it’s wrong!!
I think this is the right one in comparison to the other person because it’s talking about perimeter.... Idek where they got 10 by 30 from.
The area of that is 300 and the perimeter would be 80 not 280

Please help me, GodBless.

Answers

Answer:

-6

Step-by-step explanation:

To find the slope, you do y₂ - y₁ / x₂ - x₁

y₂ - y₁ / x₂ - x₁

= -35 - 11 / 5 - 1

= -24 / 4

= -6

The slope is -6

Answer:

-6

Step-by-step explanation:

Hi,

To find the slope when given a table, just pick two points, subtract the y values, and then divide them by the x values after you subtract them as well. Here's what I mean...

Let's use 1, -11 and 5, -35

So...

-35 - (-11)

This is the change in y. -35 - (-11) is the same thing as -35 + 11 (subtracting  negative switches to adding it)

You get -24

Now, the change in x.

5 - 1 = 4

So, -24/4 and you get the slope of : -6

I hope this helps :)

encontre as raízes quadradas dos números:
a)²√625
b)²√100
c)²√81​

Answers

Answer:

a.) 25, b.)10, c.)9

Step-by-step explanation:

a.) 25x25=625

b.)10x10=100

c.) 9x9=81

please and this quickly and no links please

Answers

Answer:

11 months

Step-by-step explanation:

Since he has already read 14 books subtract them from the 80 books. you'll end up with 66. then diviid by 6 and you'll get 11 months

I dont know how to do this​

Answers

Answer:

a) 55°

b) 125°

c) 55°

d) 55°

Step-by-step explanation:

a) 180-(90+35) = 55

b) this angle forms a straight angle with ∡a

c) this angle is vertical, and congruent, with ∡a

d) 180-(70+55) = 55

Please help I'm begging a ACE OR GENES To help me please please help please please ASAP please please help please please ASAP please please help

Answers

Answer:

3/2

Step-by-step explanation:

WX/AB = 12/8 = 3/2

Answer: 3/2

The price of crude oil, per barrel, in the year 2006 was estimated at $66.02. There was a 9.5% increase in the year
2007 and a 38.83% increase in the year 2008. Determine the approximate value for a barrel of crude oil in the year
2008. Round your answer to the nearest cent.
a. $128.74
c. $179.27
b. $91.66
d. $100.36

Answers

Answer:

D.) $100.36

Step-by-step explanation:

66.02/100 = 0.6602

0.6602 x 109.5 = 72.2919

72.2919/100 = 0.722919

0.722919 x 138.83 = 100.36

Point S is on line segment RT. Given ST=3 and RT=20, determine the length RS.

Answers

Answer:

RS = 17

Step-by-step explanation:

Given S lies on RT , then

RS + ST = RT , that is

RS + 3 = 20 ( subtract 3 from both sides )

RS = 17

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