Patty has 20 to spend on gifts for her friends her mother gives her 5 more. If each gift costs 5 how many gifts can she buy

Answer:

x²-18x+45

Step-by-step explanation:

(x-15)(x-3)

Product of the first terms is x² [x times x]          F

Product of the outer term is -3x  [x times -3]     O

Product of the inner term is -15x [-15 times x]    I

Product of the last term is 45 [-15 x -3]               L

Combine like terms and you'll get x²-18x+45

Answer:

20,236.32

Step-by-step explanation:

because (-282) * (-71.76) = 20,236.32

Answer:

20236.32 feet

Step-by-step explanation:

-282*-71.76=20236.32

Answer:

1/50 then 3% then 0.046

Step-by-step explanation:

Answer:

111 deg and 69 deg

Step-by-step explanation:

let the angles be x and y

given:

x - y = 42 degrees -------> eq 1

also given that they are supplemantry,

i.e x + y = 180 degrees ----------> eq 2

by elimination,

eq 1 + eq 2

(x-y) + (x+ y) = 42 + 180

2x = 222

x = 111 degrees (substitute back into eq 2)

111 + y = 180

y = 180 - 111

y = 69 deg

The puppy's weight increased by 60%.

Answer:

Step-by-step explanation:

60

Answer:

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

Step-by-step explanation:

Samantha deposit $300 in an account that earns an annual interest rate of 2.5%.

Now, Samantha after nine months of deposit computes the simple interest.

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

The calculation of interest should be on a yearly basis (i.e. 12 months) as the interest rate is 2.5% per year. (Answer)

Answer:

50, 62

The drawing will help

Answer:

Step-by-step explanation:

[tex]a(1)=2\\\\a(2)=a(1)+12=2+12=14\\\\a(3)=a(2)+12=14+12=26\\\\a(4)=a(3)+12=26+12=38\\\\a(5)=a(4)+12=38+12=50\\\\a(5)=a(5)+12=50+12=62[/tex]

If you want the formula.

It's an arithmetic sequence with the first term 2 and common difference 12.

The explicit formula of an arithmetic sequence:

[tex]a(n)=a(1)+(n-1)d[/tex]

d - common difference

Substitute:

[tex]a(n)=2+(n-1)(12)[/tex]        use the distributive property

[tex]a(n)=2+12n-12[/tex]

[tex]a(n)=12n-10[/tex]

The ratio of Erin's tennis trophies to soccer trophies is 3/7.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

She has earned 333 tennis trophies, 444 basketball trophies, 777 soccer trophies, and 111 volleyball trophies.

The ratio of tennis trophies to soccer = 333/777

3/7(111/111) = 3/7

Hence "The ratio of Erin's tennis trophies to soccer trophies is 3/7".

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Answer:

-16

Step-by-step explanation:

4-8= -4 (-2-6t) if t=-1 instead of t besides 6 put -1 multiplier it which it will become positive.

-4(-2+6)

-4x-2=8, -4x6= -24

8-24=-16

trust me i know that i am right

Answer:

x-5=0\\x=5

Step-by-step explanation:

Luisa needs to pay $8.56 including sales tax.

Step-by-step explanation:

Price of piece of sandwich = $8

Sales tax = 7%

Amount of sales tax = 7% of price of sandwich

Amount of sales tax = [tex]\frac{7}{100}*8[/tex]

Amount of sales tax = [tex]\frac{56}{100} = \$0.56[/tex]

Total price to pay = Price of piece of sandwich + amount of sales tax

Total price to pay = [tex]8+0.56 = \$8.56[/tex]

Luisa needs to pay $8.56 including sales tax.

Keywords: sales tax, percentage

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Answer:

2/16 or 1/8 or 12.5%

Step-by-step explanation:

2 of the outcomes are the same and it's out 16 total outcomes, so you would do 2 divided by 16 which is 12.5% or as a a fraction 2/16 or as a simplified fraction 1/8.

Answer:

See explanation

Step-by-step explanation:

Consider triangles PTS and QTR. In these triangles,

Thus, [tex]\triangle PTS\cong \triangle QTR[/tex] by AAS postulate.

Congruent triangles have congruent corresponding sides, so

[tex]PT=QT[/tex]

Consider segments PR and QS:

[tex]PR=PT+TR\ [\text{Segment addition postulate}]\\ \\QS=QT+TS\ [\text{Segment addition postulate}]\\ \\PT=QT\ [\text{Proven}]\\ \\ST=RT\ [\text{Given}][/tex]

So,

[tex]PR=SQ\ [\text{Substitution property}][/tex]

Answer:

4 • (x - 5) • (2x + 3)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   2 • -15 = -30  

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   -7 .

     -30    +    1    =    -29  

     -15    +    2    =    -13  

     -10    +    3    =    -7    That's it  

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  3  

                    2x2 - 10x + 3x - 15

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (2x+3)  •  (x-5)

            Which is the desired factorization

Answer:

[tex]1 = 4x -y[/tex]

Step-by-step explanation:

Distribute the 4

[tex] y + 7 = 4x + 8[/tex]

Subtract the 7

[tex]y = 4x - 1[/tex]

Subtract y and add 1

Answer:

y = 4x - 1

Step-by-step explanation:

Distribute the 4

y + 7 = 4x + 8

Subtract the 7

y = 4x - 1

Answer:

The perimeter of the garden is 14 yard.

Step-by-step explanation:

Consider the figure:

Each unit on the grid represents [tex]\frac{1}{2}[/tex] yard.

From the figure we can find that:

The length of FA is 3.5 yard

The length of EF is 3.5 yard

The length of DX is 2 yard

The length of CD is 2 yard

The length of CB is 1.5 yard

The length of AB is 1.5 yard

To find the perimeter of the garden we need to add all the length as shown:

Perimeter = FA + EF + DX + CD + CB + AB

Perimeter = 3.5 + 3.5 + 2 + 2 + 1.5 +1.5

Perimeter = 14 yards

Hence, the perimeter of the garden is 14 yard.

Answer:

The volume in liters is 2.041165665 liter.

Step-by-step explanation:

Given : Clare wants to mail a package that weighs [tex]4\frac{1}{2}[/tex] pounds.

To find : What could be its volume in liters ?

Solution :

We know that,

Pound (lb) is a unit of Weight used in Standard system.

Liter (l) is a unit of Volume used in Metric system.

To convert 1 pound into liter is

1 pound (lb) = 0.45359237 liter (l)

[tex]4\frac{1}{2}[/tex] pounds in simpler fraction is [tex]\frac{9}{2}[/tex]

Converting into liter,

[tex]\frac{9}{2}[/tex] pound (lb)=[tex]\frac{9}{2}\times 0.45359237[/tex] liter (l)

[tex]\frac{9}{2}[/tex] pound (lb) = 2.041165665 liter (l).

Therefore, the volume in liters is 2.041165665 liter.

Eric collected 18 green gems and 7 blue gems.

Step-by-step explanation:

Let,

Green gems = x

Blue gems = y

One green gem = 5 points

One blue gem = 10 points

According to given statement;

x+y=25   Eqn 1

5x+10y=160   Eqn 2

Multiplying Eqn 1 by 5;

[tex]5(x+y=25)\\5x+5y=125\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2;

[tex](5x+10y)-(5x-5y)=160-125\\5x+10y-5x-5y=35\\5y=35[/tex]

Dividing both sides by 5;

[tex]\frac{5y}{5}=\frac{35}{5}\\y=7[/tex]

Putting y=7 in Eqn 1;

[tex]x+7=25\\x=25-7\\x=18[/tex]

Eric collected 18 green gems and 7 blue gems.

Keywords: linear equations, subtraction

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Eric collected 18 green gems and 7 blue gems. This conclusion is reached by forming and solving a system of linear equations based on the problem's conditions related to the total number of gems and their respective point values.

This question deals with a system of equations, defined by the value of the gems and the total number of gems. Here, let's represent green gems as 'g' and blue gems as 'b'.

The two equations formed from the problem are as follows: g + b = 25 (since Eric collected 25 gems) and 5g + 10b = 160 (since green gems are worth 5 points each and blue ones 10, yielding a total score of 160).

To solve it, we need to isolate one of the variables: first, multiply the first equation by 5: 5g + 5b = 125. Then subtract this equation from the second equation, so we get 5b = 35, which simplifies to b = 7.

Substitute b = 7 into the first equation to get g = 25 - 7 = 18. Therefore, Eric collected 18 green gems and 7 blue gems.

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Answer:

13

Step-by-step explanation:

you're kidding, how do you not know this but I mean I'm here to help even if you're not the brightest

Answer:

the answer is 13. because you round up

The expression for the nth term of the given sequence -7, -12, -17, -22, -27 is -7 - 5(n-1).

The given sequence is -7, -12, -17, -22, -27. In this sequence, each term is obtained by subtracting 5 from the previous term. So, we can write the expression for the nth term as:

-7 - 5(n-1)

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Answer:

$33.45 million

Step-by-step explanation:

Answer:

Last year’s sales transaction was $33.448 million

Explanation:

Consider the last year’s total sales transaction be x

According to question,

Sales were increased by 16% to 38.8 million

Then, according to question,

x + 16% of x = 38.8 million

Solving for x,

[tex]x + (\frac{16}{100})x[/tex] = 38.8 million

[tex]\frac{116}{100}x[/tex]= 38.8 million

x = [tex]\frac{(38.8 million \times 100)}{116}[/tex]

x = 33.448 million

Therefore, last year’s sales transaction was $33.448 million

Answer:

Answer is 1 2/3 pretty sure thats it bc i just took the same quiz and got that question right.

Step-by-step explanation:

Answer:

L=15  W=12   15*12 = 180

Step-by-step explanation:

W*L = area

W*(W+3) = 180

Do the distributive

W^+3 W-180=0

Find 2 numbers that when multiplied ,the result is -180

and when added the result is 3

      - 12* 15  = -180

        -12 +15 = 3

The annual rate of interest per year is 8%

Solution:

Given:- Principal (p) = 4600 rupees, Time –Period (t) = 5 years, Total amount(A) = 6440 rupees

First we will calculate the Interest and then using formula of simple interest we will calculate the rate of interest

Interest = Amount – Principal

Interest = 6440  – 4600 = 1840

Now using the formula of simple Interest and on putting values we get,

[tex]\text {Simple Interest }=\frac{P \times R \times T}{100}[/tex]

Where "P" is the principal and "R" is the rate of interest per annum and "T" is the time period

[tex]1840=\frac{4600 \times R \times 5}{100}[/tex]

[tex]\begin{aligned} \mathrm{R} &=\frac{1840 \times 100}{4600 \times 5} \\\\ \mathrm{R} &=\frac{1840}{230} \\\\ \mathrm{R} &=8 \% \end{aligned}[/tex]

Hence, the required rate of interest per year is 8%

Answer:

The annual rate of interest per year is 8%

Solution:

Given:- Principal (p) = 4600 rupees, Time –Period (t) = 5 years, Total amount(A) = 6440 rupees

First we will calculate the Interest and then using formula of simple interest we will calculate the rate of interest

Interest = Amount – Principal

Interest = 6440  – 4600 = 1840

Now using the formula of simple Interest and on putting values we get,

Where "P" is the principal and "R" is the rate of interest per annum and "T" is the time period

Hence, the required rate of interest per year is 8%

Let me know if it is correct! Thank you. :)

Step-by-step explanation:

Answer: 66.5

Step-by-step explanation:

divide the figure into a triangle (the top part) and a rectangle (the lower part)

To find the area of the rectangle use the formula:

length times width = area

(LW=A)

8 times 7 is 56 so the area of the rectangle is 56.

the formula for area of a triangle is base times height halfed

(BH)1/2

the height is 3 because the height of the entire figure is 11 so subtract the height of the rectangle from that (8) to get 3.

the base is 7 so

7(3)(1/2) is 10.5

add up the two areas together (10.5+56) to get 66.5 cm squared.

answer: 66.5

Answer:

$0.5

Step-by-step explanation:

formula ; y = kx

where ; y = $1.5

             x = 3 pounds of bananas

             k = constant of proportionality

Step 1. Do the equation based on the data given

y = kx

$1.5 = k3

Step 2. Compute the mathematical equation. Divide both sides by the coefficient of 3.

$1.5 = k3

  3      3

k = .5

Answer; $0.5 is the constant of proportionality cost in dollars per pound of banana.

Answer:

0.25

Step-by-step explanation:

Have a nice day <3

Answer:

Step-by-step explanation:

Expected in answer is 336.

Explanation: As we know that Pizza-By-The-Slice sells & slice in 10 and in ! hour we have 60 minutes so we simply multiply 7 by 6 which is equal to 42 so they sell 42 slice in 1 hour and we want to know the how much they sell in 8 hours so we simply multiply 42 by 8 and we get the expected slice sell in * hours which will 336.

Answer:

44 miles per hour

Answer:

44 miles per hour

Step-by-step explanation:

Answer:?=x

100.800=200.400

200.x=300.800

200.x=240000

X=1200

Good luck!

Step-by-step explanation:

Answer:

D) $1,200

Step-by-step explanation:

300*4=1200

Answer:

Step-by-step explanation:

Wheres the picture?

The equation (5 x 2) + (5 x 4) = 5 x (2 + 4) showcases the distributive property in mathematics where two different expressions yield the same result.

The equation (5 x 2) + (5 x 4) = 5 x (2 + 4) is a demonstration of the distributive property in mathematics.

(5 x 2) + (5 x 4) can be simplified as 10 + 20 = 30.

5 x (2 + 4) can be simplified as 5 x 6 = 30.

Hence, both sides of the equation result in the same value, displaying the equality of the expression.