Mr. Rodriguez is packing bags of snacks for his children’s lunchboxes. If he has 20 blueberries and 30 grapes, what is the maximum number of bags of snacks that he can pack so that each bag has the same number of blueberries and grapes?

Answer:

[tex](x+4)^2+(y-8)^2=85[/tex]

Step-by-step explanation:

The standard equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

[tex](x-(-4))^2+(y-8)^2=r^2\\[/tex]

Simplify:

[tex](x+4)^2+(y-8)^2=r^2[/tex]

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

[tex](-2+4)^2+(-1-8)^2=r^2[/tex]

Evaluate:

[tex](2)^2+(-9)^2=r^2[/tex]

Square:

[tex]4+81=r^2[/tex]

Add:

[tex]r^2=85[/tex]

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

[tex](x+4)^2+(y-8)^2=r^2[/tex]

Substituting 85 for r squared, we get:

[tex](x+4)^2+(y-8)^2=85[/tex]

And we have our equation.

Answer:

Step-by-step explanation:

1. 93

2.184

Answer:

She started with 8 books.

Step-by-step explanation:

Answer:

Evaluate -8 - 21.

-10

-16

16

10

Answer:

34.4x

Step-by-step explanation:

Answer:

34.4x

Step-by-step explanation:

40.8x-6.4x=34.4x

Answer:

7 - 3 - 2 = 2

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

The right angle is congruent to the other side. So 90-20=70. 6x-2=70. Add 2 to both sides to cancel out the minus 2. 6x=72 72/6=12

Answer:

[tex]\huge\boxed{\sf x = 12}[/tex]

Step-by-step explanation:

6x - 2 + 20 = 90     [Complementary Angles]

6x + 18 = 90

Subtracting 18 to both sides

6x = 90 - 18

6x = 72

Dividing both sides by 6

x = 12

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

1.75=5n or 5n=1.75

Step-by-step explanation:

There are 5 n's on the bottoms so you are doing 5 times n (5n) and then 1.75 is on the top so the equation has to equal 1.75

Answer:

5n=1.75

Step-by-step explanation:

the image, the area of the tape diagram indicating 1.75 is equal to the sum of the areas of all five parts in the diagram such that each part indicates n.

here, we have assumed that  1.75 represents an area of the first rectangle , and n represents the area of each of the small rectangle

Answer:

10

Step-by-step explanation:

Acc to question, the workers have installed 240 chairs in 4 days which equals 60 chairs in 1 day.

So the will require 600 /60 =10 days from the start.

Answer:

Becca made 24 rolls and 12 biscuits

Step-by-step explanation:

Becca will have 24 rolls and 12 biscuits on the tray.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given that,

Becca made 2 trays of rolls and biscuits.

Since in 1 tray there are 12 rolls and 6 biscuits.

Number of rolls in 2 tray = 2(12) = 24 rolls

Number of biscuits in 2 tray = 2(6) = 12 biscuits.

To learn more about the arithmetic operators,

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Answer:

Yes, it is a proportional relation ship because 6 and 2 are equivalent to each other.

Step-by-step explanation

Answer:

-4/1

Step-by-step explanation:

Answer:

i;m pretty sure your answer is -4/1

Step-by-step explanation:

i hope this helped you

Answer:

12

Step-by-step explanation:

[tex]a_{n-1}=12\\\\

Plug\: n = n + 1\\\\

a_{n+1-1}=12\\\\

\huge \red {\boxed {a_{n}=12}} \\\\[/tex]

−6x+7x+4x-3x-3y-2x+4x

−6x+7x+4x-3x-2x-+4x-3y

4x-3y

:)

Answer:

6 is the gfc

Step-by-step explanation:

hope this helped :-)

Answer:

it is -

Step-by-step explanation:

Answer:

[tex]B=7x^4[/tex]

Step-by-step explanation:

The given equality is

[tex]-35x^6=(-5x^2)B[/tex]

Take the term [tex](-5x^2)[/tex] to the left hand side. This means the term [tex]-35x^6[/tex] will be divided by [tex](-5x^2)[/tex]

[tex]\dfrac{-35x^6}{(-5x^2)}=B[/tex]

Now since both the numerator and denominator have negative sign the value of fraction will be positive.

[tex]\dfrac{35x^6}{(5x^2)}=B[/tex]

Now [tex]5\times 7=35[/tex] and [tex]x^{6-2}=x^4[/tex]

[tex]7x^4=B[/tex]

So, the missing factor [tex]B=7x^4[/tex]

Answer:

She will have to work at least 83 times.

Step-by-step explanation:

Divide 1,500 by 180 and then to check answer multiply 180 with 83.

Answer:

Find the least common denominator, which is 10.

Answer:

Step-by-step explanation:

3.8-2.923

Change to 3.800 to match the number of digits in the second number. Work from right to left. 3 minus 0 is 7. work our way over until the end. You should get 0.877 for an answer.

Answer:

Step-by-step explanation:

Factor out the common term 2.

|2(x+4)|-14∣2(x+4)∣−14

Answer:

11

Step-by-step explanation:

15-4=11

|11|=11

Answer:

i think the answer is 55.

Step-by-step explanation:

220 divided by 4 = 55.

Answer:

i don t think i completely understand but they drive 55 miles every hour

Step-by-step explanation:

if this is not your question plz clarify so i can help :)

Answer:

that answer is 5 hope you get it right

140 miles / 4 gallons = 35 miles per gallon.

35 x 5 = 175 miles

Answer:

The car would be able to drive 175 miles with 5 gallons of gas.

Step-by-step explanation:

Every gallon of gas would give you 35 miles of distance.

To do this you divide 140 by 4 which is 35 that means 1 gallon of gas is 35 miles.  

Add a extra gallon gas and also add the amount of distance the gas will give you (35 miles). Add that to 140 miles and then you get 175 miles.

For every 35 miles, I gallon of gas is used.

Hope this helps.

Answer:

X=8

The three lines means that IN and AT are equal so IN must equal 26. 2(8)=16 and 16+10=26

Answer:

AB=DE

Step-by-step explanation:

they're literally the only pair on the same sides lol

The side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

We have two triangles shown in the picture.

As we know from the definition of the congruent triangle, the same size, and shape.

The three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle

Thus, the side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.

Learn more about the congruent triangle here:

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Answer:

733

Step-by-step explanation:

712 and 702 end in 2, so they're divisible by 2.

725 ends in 5, so it's divisible by 5.

733 is not divisible by 2.

7 + 3 + 3 = 13, so 733 is not divisible by 3.

It looks like 733 is the prime number.