Cecilia ran 2 1/5 miles each day for one week. How many miles did she run altogether that week, including the weekend?

Answer:

A. About half of the animals at the zoo weigh less than 106 pounds

B. The average weight of al animals at the zoo is about 145.50

Step-by-step explanation:

The median weight is 106 pounds and the average weight of the animals at the zoo are 145.40

Answer:

x=-50

Step-by-step explanation:

31/25x=-62

x=-62/(31/25)

x=(-62/1)(25/31)

x=--1550/31

x=-50

Answer:

X = 50

Step-by-step explanation:

31/25 x = 62

25 times 31/25 x = 62 times 25

31x = 1550

31/31 = 1550/31

x = 50

Answer:

x-5=0\\x=5

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:

x = 9.6

Step-by-step explanation:

Given that x varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition x = 4 when y = 15

k = [tex]\frac{x}{y}[/tex] = [tex]\frac{4}{15}[/tex]

x = [tex]\frac{4}{15}[/tex] y ← equation of variation

When y = 36, then

x = [tex]\frac{4}{15}[/tex] × 36 = [tex]\frac{144}{15}[/tex] = 9.6

The problem is related to direct variation and can be solved using the formula x=ky which expresses the direct proportionality of x and y. The constant of variation k is found using the values of x and y given and is applied to find the new x value when y=36.

The problem discussed here is related to the concept of direct variation or direct proportionality. When we say that 'x varies directly as y', it means that x is proportionally related to y, and that relationship can be expressed by the equation x = ky, where k is the constant of variation.

In this case, you are given that x = 4 when y = 15. So, you can find the constant of variation 'k' by dividing x by y. Hence, k = x/y = 4/15.

Now, you are asked to find the value of x when y = 36. Given that x = ky, simply substitute k = 4/15 and y=36 into this equation. Therefore, x = (4/15)*36 which will yield the value of x.

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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

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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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:

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:

After Albert  builds the frame, 1.174 meters  of wood will be left.

Step-by-step explanation:

Here, the total length of wood required to build wooden frame  = 30 meters

The length of the wooden pieces collected  are:

First piece = 12.5  m

Second Piece  = 11.43  m

and Third Piece  =  7.244 m

Now, the total length of wood all pieces combined

= Length of (First + second + third ) Piece

= 12.5 m +  11.43 m +  7.244 m  = 31.174 m

So, the combined length of all wooden pieces  = 31.174 m

Now, the left over length = Total wood collected - The length required

                                              = 31.174 m = 30 m  =  1. 174 m

Hence, after he builds the frame, 1.174 meters  wood will be left.

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:

44 miles per hour

Answer:

44 miles per hour

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

1 foot is 30.48 cm

So 1 yard is 3(30.48 cm) = 91.44 cm (less than 100 cm = 1 meter)

So 2 yards is about 183 cm, less than 200 cm

Answer:

1/50 then 3% then 0.046

Step-by-step explanation:

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:

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:

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)

The puppy's weight increased by 60%.

Answer:

Step-by-step explanation:

60

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:

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

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:

$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:?=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

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:

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:

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

75% of the teachers were first-year teachers

Step-by-step explanation:

the formula for percentage will be used for the problem

The percentage is given by:

[tex]Percentage=\frac{Quantity}{Total}*100\\[/tex]

Here

Total teachers = 57+19 = 76

First-year teachers = 57

So,

[tex]Percentage\ of\ first\ year\ teacher = \frac{57}{76}*100\\=0.75*100\\=75\%[/tex]

Hence, 75% of the teachers were first-year teachers

Keywords: Percentage, Percent

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Answer:

A. [tex]\frac{4^{8} }{4^3}[/tex]

D. [tex]4^{5}[/tex]

Step-by-step explanation:

We have to calculate to find the result -

The expression is = 4^(-3)/4^(-8)

According to the indices rule, the power will be deducted if it is a division.

Therefore, [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{m-n}[/tex]

Using that formula,

= [tex]4^{-3-(-8)}[/tex]

= [tex]4^{-3+8}[/tex]

= [tex]4^{5}[/tex]

Therefore, the answer choice D is the option, and the answer is 4^5.

Option A is also correct. Because we can find 4^5 with the help of that option.

[tex]\frac{4^8}{4^3}[/tex]

= [tex]4^{5}[/tex]

Alternative way,

4^(-3)/4^(-8)

= 4^(-3+8)

= 4^(8-3)

= 4^8/4^3

In the is way, we can also find option A is correct.

Answer:

A&D

1 & 4

[tex]\frac{4^8}{4^3}[/tex] and [tex]4^{5}[/tex]

Step-by-step explanation:

edge 2021

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:

[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