Explain how to solve the equation
.
b – 7 = 12

Answer:

5:4

Step-by-step explanation

If your shoes to flip-flops are 10:8 then the starting ratio will be 10:8 but 10 and 8 are both divisible to 2 so you can simplify 10:8 to 5:4

Answer:

f(x) = 5x + 4

Step-by-step explanation:

Alicia had - $11.00 in her checking account. She did a few chores and made $44.50. She decided to pay for her and a friend to go to the movies and each ticket costs $6.25. How much money does she have left in her account?

There are 30 students in Mrs.

Woodward’s class and 15 of the class has their own cell phone. Of this group of students, 12 of them

are allowed to use social media. How many of the students have a cell phone and can use social media?

There are two up there

Newton's third law states that if object A exerts a force on object B, object B must respond with a force of equal size and in the opposite direction. This law reflects nature's symmetry: forces always exist in pairs, and one body cannot exert a force on another without experiencing one.

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.

Answer:

hello

4.678 =  4 678 / 1000

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]u_{n}[/tex] = u₁ + (n - 1)d

given u₂₀ = 100 and u₂₅ = 115 , then

u₁ + 19d = 100 → (1)

u₁ + 24d = 115 → (2)

subtract (1) from (2) term by term to eliminate u₁

0 + 5d = 15

5d = 15 ( divide both sides by 5 )

d = 3

substitute d = 3 into (1) and solve for u₁

u₁ + 19(3) = 100

u₁ + 57 = 100 ( subtract 57 from both sides )

u₁ = 43

Answer:

a) u₁ = 43, d = 3

Step-by-step explanation:

Given :-

u₂₀ = 100

u₂₅ = 115

To Find :-

u₁ and d

Solving :-

u₂₀ = u₁ + 19d = 100 -(1)

u₂₅ = u₁ + 24d = 115 -(2)

(2) - (1)

5d = 15

d = 3

u₁ + 19(3) = 100

u₁ + 57 = 100

u₁ = 43

Solution :-

a) u₁ = 43, d = 3

Answer:

C. (-1,6,1)

Step-by-step explanation:

Given the system of equation

6x−y+3z=−9 ...... 1

5x + 5y−5z = 20 ...... 2

3x−y+4z = −5 ...... 3

Reduce the equations to two variables with 2unknown

Multiply equation 3 by 2 and add to 1.

Equation 3×2; 6x−2y+8z = −10 ...... 4

Subtract 4 from 1

-y-(-2y)+3z-8z = -9-(-10)

-y+2y-5z = -9+10

y-5z = 1 ...... 5

Also multiply eqn 2 by 3 and 3 by 5

Equation 2×3; 15x+15y-15z= 60

Equation 3×5; 15x-5y+20z = -25

Subtract

15y+5y-15z-20z = 60+25

20y-35z = 85

Divide through by 5:

4y-7z = 17 ...... 6

...................................

Solve 5 and 6

y-5z = 1 ...... 5 × 4

4y-7z = 17 ...... 6 × 1

....................................

4y-20z = 4

4y-7z = 17

Subtract

-20z+7z = 4-17

-13z = -13

z = -13/-13

z = 1

Substitute z = 1 into equation 5 to get y:

From 5: y-5z = 1

y - 5(1) = 1

y-5 = 1

y = 1+5

y = 6

Substitute y = 6 and z = 1 into equation 3 to get x;

From 3: 3x−y+4z = −5

3x-6+4(1) = -5

3x -6+4 = -5

3x-2 = -5

3x = -5+2

3x = -3

x = -3/3

x = -1

Hence x = -1, y = 6 and z = 1

The correct answer is (-1, 6, 1)

Answer:

Aaron has 3 red cubes and 15 yellow cubes in his bag. If he subtracts six yellow cubes, how many cubes of each color does he have?

Answer:

Jake from state farm lost 3 dollars from buying McDonalds it cost him dollars 6 how much money does he still have to pay

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\text{(A)}\ 96 \textdegree}[/tex]

Step-by-step explanation:

A parallelogram has two pairs of identical angles.

The identical angles will be directly opposite from each other.

This means that:

Therefore, we can say that Angle A is 3x degrees and Angle B is x+52 degrees.

It's also important to note that all angles in a quadrilateral add up to 360°.

Since we know the measure of each angle, we can add up the expressions for each and find x.

[tex]3x + 3x + (x+52) + (x+52) = 360[/tex]

Let's simplify this equation.

Now that we know the value of x, let's use it to find the measure of Angle A.

We already proved earlier that Angle C is equivalent to Angle A. Since we know the expression for Angle C (3x) it'll be the same for angle A.

[tex]3(32)=96[/tex]

So A is 96°

Hope this helped!

Answer:

Step-by-step explanation:

96 degrees

The equation 3x - 4y = 16 is now in standard form, where A = 3, B = -4, and C = 16.

To convert the equation y = (3/4)x - 4 into standard form, we need to eliminate any fractions and rewrite it in the form Ax + By = C, where A, B, and C are integers.

The given equation is already almost in standard form, but we can proceed with the following steps:

Step 1: Multiply both sides by 4 to eliminate the fraction:

4y = 3x - 16

Step 2: Move all terms to one side of the equation to have zero on the other side:

3x - 4y = 16

The equation 3x - 4y = 16 is now in standard form, where A = 3, B = -4, and C = 16.

To know more about standard form:

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#SPJ6

Answer:

C. draw an angle bisector

Step-by-step explanation:

Answer: the answer to your question is

10

Step-by-step explanation:

Answer:

20% of 50 = 10

Step-by-step explanation:

1. Convert the problem to an equation using the percentage formula: P% * X = Y

P is 20%, X is 50, so the equation is 20% * 50 = Y

2. Convert 20% to a decimal by removing the percent sign and dividing by 100: 20/100 = 0.2

3. Substitute 0.2 for 20% in the equation: 20% * 50  = Y becomes 0.2 * 50 = Y

4. Do the math: 0.2 * 50 = 10

5. Final answer: 20% of 50 is 10

Answer:

1. $56,000

2. $3,695

3. $1,644.48

Step-by-step explanation:

1. Equity = valuation - mortgage

              = $250,000 - $180,000

              = $70,000

80% = 80/100 = 0.8

Therefore, 80% of the equity = 0.8 × $70,000

                                                = $56,000

2. Total charges = jewelry charge + electronics charge

                            = $2,450 + $1,245

                            = $3,695

3.

First credit card:

Total payment = two years × monthly payments

                        = 2 × 12 × $252.04

                        = $6,048.96

Interest = total payment - balance

             = $6,048.96 - $5,000

            = $1,048.96

Second credit card:

Total payment = two years × monthly payments

                        = 2 × 12 × $381.72

                        = $9,161.28

Interest = total payment - balance

             = $9,161.28 - $7,500

             = $1,661.28

Home equity loan:

Total payment = two years × monthly payments

                        = 2 × 12 × $565.24

                        = $13,565.76

Interest = total payment - balance

             = $13,565.76 - $12,500

             = $1,065.76

Money saved = (total of interest from credit cards) - home equity loan interest

                      = ($1,048.96 + $1,661.28) - $1,065.76

                      = $1,644.48

Answer:

[tex]p=132cm^2[/tex]

Step-by-step explanation:

Given the following question:

Formula for perimeter:

[tex]2(s+b)[/tex]

We are given a base and a length for this parallelogram. So, to find the perimeter we simply have to substitute the values into the formula and solve.

[tex]2(s+b)[/tex]
[tex]2(34+32)[/tex]
[tex]34+32=66[/tex]
[tex]2(66)[/tex]
[tex]2(66)=2\times66=132[/tex]
[tex]p=132cm^2[/tex]

Hope this helps.

Answer:

Pair A are not congruent.

To prove two triangles are congruent, 3 equal angles aren't sufficient.

Pair B are not congruent as well.

To prove they are congruent using ASA we have to make sure the given equal side lies between the 2 angles, which it is not.

They are not congruent

Answer:

10m

Step-by-step explanation:

we can use the cross multiply method.

300m = 270m

x m = 90m

270x = 300 x 90

270x = 2700

x = 10

so the buliding is 10m tall

The simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

Let's simplify the two of the given polynomials, therefore, find the difference between the two given polynomials.

[tex]a^3b+9a^2b^2 - 4ab^5 - (a^3b - 3a^2b^2+ab^5)\\\\= a^3b+9a^2b^2 - 4ab^5 - a^3b + 3a^2b^2-ab^5\\\\\text{Bring Like terms together}\\\\=a^3b - a^3b+9a^2b^2+3a^2b^2 -4ab^5-ab^5\\\\= 12a^2b^2-5ab^5[/tex]

Hence, the simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).

Learn more about Like Terms:

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Answer:

There are 68 students in the class after these changes.

Step-by-step explanation:

g = number of girls

b = number of boys

Because the ratio of girls to boys is 3:1, initally the equation was  

g = 3b                

Finally, we have

g-1 girls because one girl dropped the class

b+3 boys because three more boys signed up

Because the new ratio of girls to boys is 5:2, the new equation is  

(g - 1)/(b + 3) = 5/2

Cross multiply.

2(g - 1) = 5(b + 3)

2g - 2 = 5b + 15

2g - 5b = 17          

Then, substitute g (which is 3b because the first equation was g = 3b)

2(3b) - 5b = 17

b = 17

g = 3b = 3*17 = 51

g = 51

The final number of students in the class = 17 + 51 = 68

Answer: 68

Answer:

2 1/2 divided by 1 5/8 equals to 1.53846153846

This question was not written properly

Complete Question

A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients.

Answer:

A 5 1/12 cups of ingredients

B 10 1/6 cups of ingredients

C The total amount of ingredients for 12 waffles would increase from the original recipe.

D 7.56 or 7 5/9 recipes

Step-by-step explanation:

A... What is the total number of cups of ingredients needed for 12 waffles?...

The total number of cups of ingredients needed =

1 1/2 cups of milk + 2 1/4 cups of flour + 1 1/3 cups of other ingredients

(1 + 2 + 1) + (1/2 + 1/4 +1/3)

4 + ( 6 + 3 + 4/12)

4 + (13/12)

4 + (1 1/12)

= 5 1/12 cups of ingredients

B... What is the total number of cups of ingredients needed for 36 waffles? ....

If 12 waffles requires = 5 1/12 cups of ingredients

36 waffles =

Cross Multiply

= (36 waffles × 5 1 /12)/12 waffles

= 10 1/6 cups of ingredients

C... If the milk is reduced to 1 cup and the amount of 'other ingredients' (not including the flour) is increased to 2 cups, would the total amount of ingredients for 12 waffles increase or decrease from the original recipe?

Justify your thinking...

Original recipe.

A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients = total of 5 1/12 cups of ingredients

Current recipe

1 cup of milk + 2 1/4 cups of flour + 2 cups of other ingredients

1 + 2 + 2 + (1/4)

5 1/4 cups of ingredients

Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract 5 1/12 from 5 1/4 you get a difference of 1/6 cups

5 1/4 - 5 1/12 = 1/6

D... If a baker has a 5 pound bag of flour, which is approximately 17 cups of flour, how many complete recipes for 12 waffles can the baker make?... Justify your thinking...

The original recipe has 2 1/4 cups of flour as its quantity for 12 waffles

Hence:

2 1/4 cups of flour = 12 waffles

17 cups =

17 × 12/2 1/4

= 204÷ 2 1/4

= 204 ÷ 9/4

= 204 × 4/9

= 90.666666667 or 90 2/3 Waffles

If = 12 waffles = 1 recipe

90 2/3 waffles =

7.56 or 7 5/9 recipes

Given

Total no. of waffles required = 12

No. of  cups of milk = [tex]1\frac{1}{2}[/tex]

No. of cups of flour  = [tex]2\frac{1}{4}[/tex]

No. of cups of other ingredients = [tex]1\frac{1}{3}[/tex]

The total number of cups of ingredients needed for 12 waffles =

No. of cups of milk + no. of cups of flour + no. of cup of other ingredients

= [tex]( 1+ 2+ 1 ) ( \frac{1}{2} + \frac{1}{4} + \frac{1}{3} )[/tex]

= [tex](4) + ( \frac{6+3+4}{12} )\\\\= (4) +(\frac{13}{12} \\\\= \frac{48+13}{12} \\\\= \frac{61}{12}[/tex]

The total number of cups of ingredients needed for 12 waffles is [tex]\frac{61}{12}[/tex].

=

= The total number of cups of ingredients needed for 36 waffles  cups of ingredients.

A recipe for 12 waffles calls for [tex]1\frac{1}{2}[/tex] cups of milk, [tex]2\frac{1}{4}[/tex] cups of flour, and  [tex]1\frac{1}{3}[/tex]cups of other ingredients = total of [tex]5\frac{1}{12}[/tex] cups of ingredients  

Current recipe

= 1 cup of 2 milk + cups of flour + 2 cups of other ingredients

= 1 + 2 + 2 + ()

= cups of ingredients

Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract [tex]5\frac{1}{12}[/tex] from [tex]5\frac{1}{4}[/tex] you get a difference of [tex]\frac{1}{6}[/tex]  cups.

[tex]5\frac{1}{4}[/tex] - [tex]5\frac{1}{12}[/tex] = [tex]\frac{1}{6}[/tex]

The original recipe has [tex]2\frac{1}{4}[/tex] cups of flour as its quantity for 12 waffles

Hence:

[tex]2\frac{1}{4}[/tex]  cups of flour = 12 waffles

17 cups =

17 ×

= 204÷ [tex]2\frac{1}{4}[/tex]

= 204 ÷ [tex]\frac{9}{4}[/tex]

= 204 × [tex]\frac{4}{9}[/tex]

= 90.666666667 or 90  [tex]\frac{2}{3}[/tex] Waffles

If = 12 waffles = 1 recipe

90 waffles =

7.56 or recipes.

For more information about Ratio and proportion click the link given below.

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Answer:

The triangle is obtuse.

Step-by-step explanation:

If a² + b² < c² , the triangle is obtuse.

If a² + b² = c² , the triangle is right triangle.

If a² + b² > c² , the triangle is acute.

~~~~~~~~~~~~~~~~

3, 12, 13

3² + 12² < 13²

9 + 144 < 169

153 < 169 ⇒ the triangle is obtuse.

Answer:

0 is the answer okay

Step-by-step explanation:

0 is the answer okay

Answer:

on my screen it sayes its 50938

Step-by-step explanation:

Answer:

(5x+1)(x+4)

Step-by-step explanation:

5*4 = 20

20*1 = 20 and 20+1 = 20

5x^2+20x+1x+4

5x(x+4)1(x+4)

5x+1)(x+4

Answer:

55°, 125°

Step-by-step explanation:

angle EFG = 180°

angle EFH + angle GFH = angle EFG (Colinearity)

substitute the values,

6x - 5 + 12x + 5 = 180°

18x = 180°

(÷18)

x = 10

substitute values of x in both the requires angles,

angle EFH

= (6 × 10) -5

= 55°

angle GFH

= (12 × 10) + 5

=125°

to check,

55° + 125° = 180°

Answer:

I believe you need to switch the equations from the top and middle problems.

Step-by-step explanation:

I hope this helps

Answer:

1) B. Combine-like terms

2) A. Subtraction Property of Equality

3)D. Division Property of Equality

Step-by-step explanation:

Answer:

We can assume angles 102° and angles 0 and 42° are alternate interior angles.

So, to solve for 0, we must add this unknown angle to 42° and make it equal to 102°;

Let's make '0', x(our variable we solve for)

x + 42 = 102

-42         -42

x = 60