Climbing at an indoor rock-climbing gym costs $12 per hour. Lizbeth has a $50 gift card to spend at the gym. Write an algebraic expression for the dollar amount Lizbeth will have left on the card after she spends h hours climbing. No need to solve!

Answer:

(h + g)(8) = 67

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

h(t) = t² + 2t

g(t) = -t - 5

Step 2: Find (h + g)(x)

Step 3: Find (h + g)(8)

The amount of cups that Lola uses to make the rice pudding for dessert is 3 3/4 cups.

How many cups were used to make rice pudding?

A fraction is a number that is made up of numerator and denominator. An example of a fraction is 3/4.

Number of cups were used to make rice pudding = number of cups Ola has - number of cups used to make sushi rolls

4 1/2 - 3/4

4 4 2-3/4  = 3 3/4 cups

What is fraction ?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

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The modelled John's height with an equation is x = 41 - 6 × 2.5.

Given that, the average growth for the height of a boy from age 6 to 12 is 2.5 inches per year. John is 6 years old and is 41 inches tall.

We need to model John's height with an equation.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let John's initial height be x.

Now, an equation = x = 41 - 6 × 2.5

Therefore, the modelled John's height with an equation is x = 41 - 6 × 2.5.

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Answer:

C

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

40 x .8 = 32

40 - 32 = 8

Answer:

#3:8n-4

Step-by-step explanation:

combine like terms

3n+n=4n

-7+5=-2

4n-2

multiply that by 2 to get the perimeter, which is 8n-4

Answer:

J

Step-by-step explanation:

Add 38+50 to find the answer. To check you can do 50+38=88

180-88=92

180-92=88

I hope this helps.

Answer: its c

Step-by-step explanation:

its c

Answer:

(-∞,+∞)

Step-by-step explanation:

The function is a continuous quadratic function

If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

The sum of n terms of a Geometric Progression ( a,ar,ar²,ar³,...,arⁿ⁻¹ ) is given by

Sₙ=a(rⁿ-1)/(r-1)

where, a=first term

and r = common ratio

In the given question ,

Ajay runs 20 miles in first week ,     ...(i)

In second week the distance is increased by 5% of the previous week .

So in second week he runs = 20+5% of 20

[tex]=20+\frac{5}{100} *20[/tex]

=20(1+5/100)

=20(105/100)

=[tex]20\times(\frac{21}{20})[/tex]          ...(ii)

In third week Ajay runs = 20(21/20) + 5% of  20(21/20)

=[tex]20(\frac{21}{20} )+\frac{5}{100} *20(\frac{21}{20} )[/tex]

=20(21/20)[1+5/100]                   ..taking 20(21/20) common

[tex]=20(\frac{21}{20} )[\frac{105}{100} ][/tex]

=20(21/20)(21/20)

=20(21/20)²              ...(iii)

Similarly in 14th week Ajay Runs = 20(21/20)¹³ .    ...(iv)

Total miles run by Ajay = miles run in first week + miles run in 2nd week +    ...+ miles run in 14th week.

Substituting the values of equation (i), (ii), (iii) and (iv) we get

Total miles run by Ajay = [tex]20+20(\frac{21}{20} )+20(\frac{21}{20} )^{2} +...+20(\frac{21}{20} )^{13}[/tex]

The above series represent a Geometric Progression with common ratio as (21/20) and first term as 20.

Substituting in the formula for Sum of Geometric Mean we get

[tex]S_{14} =20(\frac{(\frac{21}{20} )^{14} -1}{\frac{21}{20} -1} )[/tex]

S₁₄=20*((1.05)¹⁴-1)/(1.05-1)

=20*(1.9799-1)/0.05

=20*0.9799/0.05

=20*19.598

=391.96

≅391

Therefore , If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

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The dimensions of pool 25.5m width, 76.5m length.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.

let x=  Width

formula of area of rectangle = Length x Width

Given;

[tex]\begin{aligned}&(3 x+2)(x+2)=3 x^{2} +208 \\&3x^{2} +8 x+4=3x^{2} +208\end{aligned}[/tex]

We can substrate [tex]3x^{2}[/tex] and 4 from both sides.

8x = 204

x = 25.5m width, 76.5m length.

(25.5)(76.5) = 1950.75 [tex]m^{2}[/tex]

(27.5)(78.5) = 2158.75 [tex]m^{2}[/tex]

The difference is 208[tex]m^{2}[/tex]

The dimensions of pool 25.5m width, 76.5m length .

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Answer:

-7

Step-by-step explanation:

5x-5-3x=-19

2x-5=-19

2x=-14

x=-7

Answer:

C; Acres of land, Sale price

Step-by-step explanation: I think this because no other relationship would be accurate with numbers that specific.

Answer:

c

Step-by-step explanation:

Answer:

[tex]5x+6y=22.50\\x+9y=24.75[/tex]

Step-by-step explanation:

Cost of 5 drinks and 6 snacks = $22.50

Cost of 1 drink and 9 snacks = $24.75

Each drink costs the same and each snack costs the same.

Let cost of each drink = $[tex]x[/tex]

Let cost of each snack = $[tex]y[/tex]

As per the question, writing the system of equations:

[tex]5x+6y=22.50 ...... (1)\\x+9y=24.75 ...... (2)[/tex]

Let us use elimination method, to find the cost of each drink and cost of each snack.

Multiplying equation (2) by 5 and then subtracting equation (1) from it:

[tex]45y - 6y = 123.75 - 22.5 \\\Rightarrow 39y = 101.25\\\Rightarrow y \approx \$2.60[/tex]

Using equation (1):

[tex]5x+2.6 \times 6 = 22.5\\\Rightarrow 5x = 22.5 - 15.6\\\Rightarrow 5x = 6.9\\\Rightarrow x = \$1.38[/tex]

Cost of each drink = $1.38

Cost of each snack = $2.60

Answer:

[tex]\frac{24}{d}[/tex]

Step-by-step explanation:

the quotient is the result of dividing 24 by d , that is

quotient = [tex]\frac{24}{d}[/tex]

Answer:

I think it is c but I'm not sure

Answer:

n = 1/2

Step-by-step explanation:

4/5(1/2) - 1/5 = 2/5(1/2)

4/10 - 2/10 = 2/10

Answer:

[tex] Formula\: v =\frac{s}{t} \\\\

v = 60\: mph[/tex]

Step-by-step explanation:

Formula:

[tex]v = \frac{s}{t} \: mph \\ \\ when \: t = 3 \: and \: s = 180 \\ \\ v = \frac{180}{3} \\ \\ v = 60 \: mph[/tex]

Answer:

see explanation

Step-by-step explanation:

The formula for v is

v = [tex]\frac{s}{t}[/tex]

When t = 3 and s = 180 , then

v = [tex]\frac{180}{3}[/tex] = 60 mph

Answer:x=9

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation:

9x + 5 = 86

9x + 5 - 5 = 86 - 5 (you subtract 5 from both sides to isolate the 9x)

9x = 81

9x/9 = 81/9 (to get the value of x, you divide both sides by 9)

x = 9

Answer:

There should be a table with the values of x  to find Y or vice versa, it depends.

Step-by-step explanation:

it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?

for example, if you are given x as 2 then, to find Y will be:

Y =2(2) + 3

Y = 7

Answer:

1/2 * 5/4

Step-by-step explanation:

when dividing fractions, you change the symbol to a multiplication sign and use the reciprocal of the second fraction

Answer:

C. 1/2 * 5/4

Step-by-step explanation:

Reciprocals

Data defines a claim that has been verified, examined, and backed up by numerous pieces of evidence.

Data is information that has been transformed into a format that is useful for transfer or processing in computing. Information that has been converted into binary digital form for usage with contemporary computers and communication channels is referred to as data.

As the volume of data being collected and stored increases, so do the units used to measure it. For instance, the relatively new concept of a "brontobyte" refers to a unit of data storage that is 10 to the 27th power of bytes.

File formats can be used to store data, such as ISAM and VSAM in mainframe systems. Another file format for storing, converting, and processing data is comma-separated values.

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Answer:

The slope is 0

Step-by-step explanation:

If the line is horizontal then it's 0

Circumference = Perimeter

Perimeter of Circle

= 550cm

Also,

Perimeter of Circle

= 2πr

Now,

2πr = 550

πr = 550/2

πr = 275

r = 275/π

r = 275/ 22/7

r = 275 × 7/22

r = 87.5cm

Answer:

2x -5(x-3) = -4 +5x -29

2x-5x+15 = -4 +5x -29

-3x +15 = 5x -33

-8x= -48

x=6

Answer:

Hi

Step-by-step explanation:

hi

hi

hi______________________

Answer:

C 35

Step-by-step explanation:

Brainliest

Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

when you carry the 6 to y=6y then you divide the number by two