A cook is making large fruit salads. He has 51 bananas, 41 pears, 25 peaches, and 56 apples. He needs 4 bananas, 3 pears, 2 peaches, and 5 apples for each salad. How many complete fruit salads can the cook make?

First, we will use elimination to solve for y.

[tex]5x = -30 + 5y\\20y = 105 + 5x\\\\5x - 5y = -30\\-5x + 20y = 105\\\\15y = 75\\\\y = 5[/tex]

Now, we will use what we got for y to solve for x.

[tex]5x = -30 + 5(5)\\\\5x = -30 + 25\\\\5x = -5\\\\x = -1[/tex]

Solution:

[tex](-1, 5)[/tex]

Answer:

I LOST ALL MY POINTS nnoo

40,000 80,000.

Step-by-step explanation:

have a nice day

a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Answer:

It is a line with points to represent numbers. It is used to model equations and can be used to determine greater or less than. It's a useful tool to use in math.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

35/40 in percentage is 87.5%

Step-by-step explanation:

I'm going to explain this in standard slope intercept form (y=mx+b) because it is easiest for this situation. I will also include converting it to point slope form. I will also show how to do straight into point slope form if you find that more helpful.

First thing is to identify difference in x and y in both points. From point 1 to point to, the x changes -4 and the y changes +4. We can rapresent this in rise over run fraction

[tex] \frac{4}{ - 4} = - 1[/tex]

So the slope is -1 because the slope is the simplified rise over run fraction.

Our next step is to find the y-intercept. This is easy because the first point is the y-intercept, so -3 is our y-intercept.

Now we know the equation.

[tex]y = - x - 3[/tex]

All we have to do now is convert it into point-slope form. So here is point slope form: y + y1 = m(x + x1). Y1 is the y-intercept and m is the slope.

[tex]y - 3 = - 1(x + x1)[/tex]

So x1 is the x intercept, so to find this you find the x value when y is 0. You can do this by using the standard form I've done because it is easiest.

[tex]0 = - x - 3 \\ x = - 3[/tex]

So when y is 0, then x is -3. Here is the complete point slope form of the line.

[tex]y - 3 = - 1(x - 3)[/tex]

-----------------------------------------------------

To put the line directly into point slope for you need to find the slope, y-intercept, and x-intercept and place the values in accordingly. If you aren't given the y-intercept and x-intercept straight away it can be difficult for some putting it directly in point slope form. That is why I recommend putting it into standard form then point-slope form.

Answer:

y=-1x-3

Step-by-step explanation:

First, you have to find the slope using the formula I attached. Using this formula, you will subtract the second y from the first y, which is 1-(-3) for this problem. That equals 4, so that will be the numerator of the slope. Next, you have to subtract the second x from the first x, which is -4-0 for this problem. That equals -4, so that will be the denominator for this slope. the fraction now is [tex]\frac{4}{-4}[/tex], which is -1. The slope is -1. The current equation looks like this: y=-1x+b. Now we can solve for b, or the y-intercept. To do this, you have to use the x and y of one of the coordinates, it doesn't matter which one, the answer will be the same. Use the first one, for example. The x is 0 and the y is -3, so the our equation to find b is -3=-1(0)+b, which is -3=0+b, which is -3=b, or b=-3. So now we know what b is. Now we have to two components we need to write the equation, the slope (-1) and the y-intercept (-3). Now we can write the equation. y=-1x+(-3), or y=-1x-3.

Answer:

12.4 cm

Step-by-step explanation:

Length of an arc AB = [tex] \frac{\theta}{360} \times 2 \pi r [/tex]

Where,

[tex] \theta = 90 [/tex]

[tex] \pi = 90 [/tex]

r = 7.9 cm

Plug in the values

Length of an arc AB = [tex] \frac{90}{360} \times 2 \times 3.14 \times 7.9 [/tex]

[tex] = \frac{90 \times 2 \times 3.14 \times 7.9}{360} [/tex]

Length of an arc AB = 12.4 cm (nearest tenth)

Answer:

Step-by-step explanation:

answer is 12.4cm !

Answer:

Babysitting= 13.3 hours

Icecream shop= 6.6 hours

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for icecream shop be y

we are told that Leah would like to earn $120 monthly

She babysits for $5 per hour and

works at an ice cream shop for $8 per hour

5x+8y=120---------------1

Leah cannot work more than a total of 20 hours per month

x+y≤20-------------2

The system of equation for the situation is

5x+8y=120

x+y≤20

x=20-y

put x=20-y in eqn 1

5(20-y)+8y=120

100-5y+8y=120

3y=120-100

3y=20

y=20/3

y=6.6 hours

put y=6.6 in eqn 2

x+6.6≤20

x≤20-6.6

x=13.3hours

Answer:

x=2, -4, -1

Step-by-step explanation:

-x³-3x²+6x+8=0

Multiply entire equation by -1:

x³+3x²-6x-8=0

Since x=2 is a solution, then x-2 must be a factor. Then:

x³+3x²-6x-8/x-2=x²+5x+4

x²+5x+4=0

Factor this:

x²+5x+4=(x+4)(x+1)=0

x=-4, -1

x=2, -4, -1

The carton contains 729 mL.

Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.

We have.

540mL x .35 = 189 mL

189 mL + 540 mL = 729 mL

The carton contains 729 mL.

Learn more about Fractions:

brainly.com/question/1369626

#SPJ2

Answer:

Either C or B I’m not quite sure which one. I’m sorry

Step-by-step explanation:

Answer:  He can make 3 batches of soup.

Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:

10-2.8 = 7.2 pounds left.

0.2 is read as "two tenths," so 7.2 = 7 2/10

We divide this remaining number of pounds by 2 2/5 for each batch of soup:

7 2/10 ÷ 2 2/5

Convert each to an improper fraction:

72/10 ÷ 12/5

Multiply by the reciprocal:

72/10 × 5/12 = 360/120 = 3

Hope this helps... Stay safe and have a great day/night!!! :D

Answer:He can make 3 batches of soup.

Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:

10-2.8 = 7.2 pounds left.

0.2 is read as "two tenths," so 7.2 = 7 2/10

We divide this remaining number of pounds by 2 2/5 for each batch of soup:

7 2/10 ÷ 2 2/5

Convert each to an improper fraction:

72/10 ÷ 12/5

Multiply by the reciprocal:

72/10 × 5/12 = 360/120 = 3

Step-by-step explanation:hope thiss helps

Answer:

16

Step-by-step explanation:

[tex]4−16÷4+4² \\ \\ = 4 - \frac{16}{4} + 16 \\ \\ = 4 - 4 + 16 \\ \\ = 16[/tex]

Answer:

6.66

Step-by-step explanation:

Answer:

7 inches on the map is 175 miles.

Step-by-step explanation:

2 inches equals 50 miles.  Use 50 divided by 2 to find the 1-inch scale which is 1:25 ( one inch to 25 miles)

Answer:

I believe that D is the answer.

Step-by-step explanation:

The Y and X axis goes up by 1/8, so the Y value is 5/8 and the X value is -1/4.

(For the X axis, you need to simplify.)

Answer:

-1.9 is to the left of -1.48.

-1.48 is closer to 0.

-1.48 is greater than -1.9.

Answer:

statements 1,4,5

Step-by-step explanation:

Answer:

1 mile per hour

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Answer:

-80

Step-by-step explanation:

Answer:

Mom drove for 18 hours.

Dad drove for 6 hours.

Step-by-step explanation:

Given that:

Number of hours for the driving duty = 24 hours

Speed at which the mom drove = 75 miles per hour

Speed at which the dad drove = 60 miles per hour

Total distance driven by both of them = 1710 miles

To find:

Number of hours for which each person drive for ?

Solution:

Let number of hours driven by dad = [tex]x[/tex] hours

Let number of hours driven by mom =  (24 - [tex]x[/tex]) hours

Let us have a look at the formula for Distance in terms of Speed and Time.

[tex]Distance = Speed \times Time[/tex]

Distance traveled by Mom = [tex]75 \times x =75x \ miles[/tex]

Distance traveled by dad = [tex]60(24-x) =144-60x[/tex] miles

As per question statement:

[tex]75x+1440-60x=1710\\\Rightarrow 15x=1710-1440\\\Rightarrow 15x = 270\\\Rightarrow x = 18\ hours[/tex]

So, Mom drove for 18 hours.

Dad drove for 6 hours.

Answer:

Step-by-step explanation:

Remark

The best way to find the slope is to take the two points that are marked.

(5,3) and (0,-1)

Formula

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

Givens

y2 = 3

y1 = -1

x2 = 5

x1 = 0

Solution

m  = (3 - -1)/(5 - 0)

m = (3+1) / 5 = 4/5

the line parallel to the line in the graph  would be the new with a  slope equal to the given line.

The perpendicular to this line would have a slope of

m * m1 = -1

4/5 * m1 = - 1      Multiply by 5

4 * m = -5          Divide by 4

m = -5/4

A line perpendicular to the given line would have a slope of -5/4

Answer:

she didn't make a mistake.Her answer is correct

Answer:

B is correct

Step-by-step explanation: an infinite number of solutions means a coincident line...it is the same line

3y = 2x - 9...divide by 3

y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions

Answer:

the answer is B).

Step-by-step explanation:

someone deleted my answer:(

Answer:

Y = 2x + 1

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

The variable is b books and the equation is gonna be 12b + 16 = 120

Step-by-step explanation:

Answer:

y = $1433.33

x = -$700

Step-by-step explanation:

Since we are not asked what to find, we can as well find the price of each package.

Let x be the price of one printer

Let y be the price of one computer.

If Package A contains 4 printers and 9 computers and costs $10,100, this is expressed as;

4x + 9y = 10,100 ..... 1

If Package B contains 10 printers and 30 computers and costs $36,000, this is expressed as;

10x + 30y = 36,000

x + 3y = 3600 ...... 2

Solve equation 1 and 2 simultaneously

From 2; x = 3600 - 3y ..... 3

Substitute 3 into 1;

From 1;

4x + 9y = 10,000

4(3600-3y) + 9y = 10,100

14400 - 12y + 9y = 10100

14400 - 3y = 10100

-3y = 10100 - 14400

-3y = -4300

y = 4300/3

y = $1433.33

Substitute y = 1433.3 into 2;

From 2: x+3y = 3600

x + 3(1433.33) = 3600

x+4300 = 3600

x = 3600 - 4300

x = -$700