Which graph shows the solution to the system of linear inequalities? y > Two-thirdsx + 3 y ≤ Negative one-thirdx + 2

Answer:

He will order 72 pairs of high tops

Explanation:

Given the store owner sells two pairs of running shoes for each pair of high tops

For every pair of high tops, he sells 2 pairs of running shoes

1 high top = 2 running shoes

He has planned to order 144 pairs of shoes

Therefore, 144 pair of running shoes = 144/2 = 72 pairs of high tops

Therefore, he will order 72 pairs of high tops

Answer:1/4

Step-by-step explanation:

11/12 - 2/3

22/24 - 16/24 =6/24= 1/4

Answer:

1.  [tex]2 \times 10^{- 4} = 2 \div 10^{4}[/tex]

2. [tex](- 10)^{2} = 100[/tex] and [tex]- 10^{2} = - 100[/tex]

3. [tex](a.b.c. ........)^{n} = a^{n}.b^{n}.c^{n}. ..........[/tex]

Example:  [tex](30)^{4} = (2 \times 3 \times 5)^{4} = 2^{4} \times  3^{4} \times 5^{4}[/tex]

Step-by-step explanation:

1. We have [tex]2 \times 10^{- 4}[/tex], and we have to prove that this term is equivalent to [tex]2 \div 10^{4}[/tex].

Now, [tex]2 \times 10^{- 4}[/tex]

= [tex]2 \times \frac{1}{10^{4} }[/tex]  

{Since we know the property of exponent as [tex]a^{- b} = \frac{1}{a^{b} }[/tex] }

= [tex]\frac{2}{10^{4} }[/tex]

= [tex]2 \div 10^{4}[/tex]

2. [tex](- 10)^{2} = (- 10) \times (- 10) = 100[/tex] and  

[tex]- 10^{2} = - [(10) \times (10)] = - 100[/tex]

3. The power of products property gives

[tex](a.b.c. ........)^{n} = a^{n}.b^{n}.c^{n}. ..........[/tex] ........ (1)

For example, we can write, [tex](30)^{4} = (2 \times 3 \times 5)^{4} = 2^{4} \times  3^{4} \times 5^{4} = 810000[/tex]

Answer:

D

Step-by-step explanation:

Quadratic has a general form of:

[tex]ax^2 + bx + c = 0[/tex]

The quadratic given here is:

[tex]y = x^2 + 3x + 1[/tex]

Matching it with the general form, we can see that:

a = 1 [coefficient of x^2]

b = 3

c = 1

Now, if we look at the formula for axis of symmetry, we can easily solve this out. The axis of symmetry is given by:

Axis of Symmetry is  [tex]x=-\frac{b}{2a}[/tex]

We know a = 1 and b = 3, so we have:

[tex]x=-\frac{b}{2a}\\x=-\frac{3}{2(1)}\\x=-\frac{3}{2}[/tex]

Hence,

D is the correct answer.

Answer:

is D

Step-by-step explanation:

Answer:

5.603 g H2

Step-by-step explanation:

 M(NH3) = 14 + 1*3 = 17 g/mol

M(H2) = 2*1 = 2 g/mol

                        3H2 + N2 ----->   2NH3

from reaction   3 mol                  2 mol

from reaction    3*2 g                  2*17 g

given                    x g                   31.75 g

We can write a proportion.

(3*2)/x = 2*17/31.75

(2*17)x = (3*2)*31.75

x = (3*2)*31.75/(2*17) = 3*31.75/17 =5.603 g H2

Answer:

y= 12x+5 and It would be 10 days.

Step-by-step explanation:

Y= total

+5 = each rental

X= # of days

125= 12x+5; x=10

The equation to determine the cost of renting a chainsaw for x days is y = 12x + 5. For a cost of $125, one can rent the chainsaw for 10 days.

To write an equation for the number of dollars (y) that must be paid to rent a chainsaw for x days, take into account the daily rental fee and the one-time sharpening fee. The daily rental fee is $12, and there is an additional one-time sharpening fee of $5 for each rental. The total cost y is therefore the sum of the daily rental fees for x days and the sharpening fee.

The equation is:

y = 12x + 5

To find out how many days one can rent a chainsaw for a cost of $125, we can set y equal to $125 and solve for x:

125 = 12x + 5

Subtract 5 from both sides to get:

120 = 12x

Divide both sides by 12 to solve for x:

x = 10

Therefore, one can rent a chainsaw for 10 days at a cost of $125.

Answer:

The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Total of megabytes of date used = x

Total monthly charges = y

x₁ = 50 Megabytes, x₂ = 100 Megabytes

y₁ = US$ 95, y₂ = US$ 120

2. Let's find out the best description of the steps to draw the graph and the slope.

Slope = (y₂ - y₁)/ (x ₂- x₁)

Slope = 120 - 95/ 100 - 50

Slope = 25/50 = 1/2 = 0.50

Remember that the coordinates of the points in the line are written this way:

(x, y) ⇒ (Total of megabytes of date used, Total monthly charges)

The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50

Answer:

a

Step-by-step explanation:

100% on test

[tex]\bf \begin{array}{cll} \stackrel{ordinal}{position}&\stackrel{term}{value}\\ \cline{1-2} 1&12\\ 2&12+d\\ 3&12+d+d\\ 4&12+d+d+d\\ &12+3d \end{array}\qquad \implies ~\hfill \begin{array}{llll} \stackrel{\textit{4th term}}{12+3d}~~=~~\stackrel{\textit{4th value}}{3}\\\\ 3d=-9\implies d = \cfrac{-9}{3}\\\\ \stackrel{\textit{common difference}}{d = -3} \end{array}[/tex]

well, we know the common difference is -3, to go from the 4th term to the 8th term, we need to add "d" 4 times or namely 3+4(-3), likewise to go from the 13th term to the 19th term we have to add "d" 6 times, or namely -24 + 6(-3).

[tex]\bf \stackrel{\textit{8th term}}{3+4(-3)}\implies 3-12\implies -9 \\\\\\ \stackrel{\textit{19th term}}{-24 + 6(-3)}\implies -24-18\implies -42[/tex]

Answer:

8000

Step-by-step explanation:

Answer: The profit is $3300

Step-by-step explanation:

The data we have is:

They charge $40 per hour.

In january, the charged for 200 hours.

The expenses are:

rent $4000

electricity $325

advertising $375

if we want to know the balance we must calculate:

The total expenses are: $4000 + $325 + $375 = $4700

The amount that they won is: $40*200 = $8000

Then the profit will be:

P = $40*200 - ($4000 + $325 + $375) = $8000 - $4700 = $3300

Answer:

The number of blocks in the nth figure will be (3n + 1).

Step-by-step explanation:

See the attached figure where few arrangements are there.

The number of blocks in the first arrangement is (3 + 1)

Now, the number of blocks in the second arrangement is (3 × 2 + 1)

Again, the number of blocks in the third arrangement is (3 × 3 + 1)

So, the pattern says that the number of blocks in the nth arrangement will be (3 × n + 1) = (3n + 1) (Answer)

Answer:

72

Step-by-step explanation:

Answer:

d=50

Step-by-step explanation:

-d+100=-3d+200

Subtract 100 from both sides

-d+100-100=-3d+200-100

Simplify

-d=-3d+100

Add 3d to both sides

-d+3d=-3d+100+3d

Simplify

2d=100

Divide both sides by 2

\frac{2d}{2}=\frac{100}{2}

Simplify

d=50

Answer:

In 50days

Step-by-step explanation:

Since the equation below can be used to find the number of days (d) until they will have the same number of pages left in their journals −d + 100 = −3d + 200, this equations will be solved to get 'd'

Given the equation;

−d + 100 = −3d + 200

Collecting like terms we will have;

-d+3d = 200-100

2d = 100

d = 50

This shows that Max and Pat will have the same number of pages left in their journals in 50days.

Answer:

9261

Step-by-step explanation:

the problem is payed out like this formula

x² = 441

you take the square root of 441 to find x which is 21 and then you just take cubic of 21 which is 9261

Answer:

9261

Step-by-step explanation:

x² = 441  

you take the square root of 441 to find x which is 21 and then you just take cubic of 21 which is 9261

Answer:

1

Step-by-step explanation:

Greatest Common Factor is the highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.

No number (except 1) is divisible by both 35, 15, and 3. Therefore, the GCF is 1.

Answer:

35: 5×7               GCF: 5×3=15

15:  5×3

 3:  1×3

Step-by-step explanation:

 35               15              3

/     \            /    \           /    \

5 × 7         3  ×  5        1  ×  3

Answer:

simplify the expression:  2x+2

Step-by-step explanation:

The equivalent expression of the given expression is is 2 + 2x

To solve this expression, we should simply proceed to multiply the value outside the bracket and simplify.

steps required;

This is done to add up or subtract similar or like values with each other.

[tex]\frac{1}{5}(15+10x-5)=\frac{1}{5}(15-5+10x)=\frac{1}{5}(10+10x)\\[/tex]

Multiply the entire value inside the bracket by 1/5.

[tex]\frac{1}{5}(10+10x)=2+2x[/tex]

This is the simplified expression of what we are given.

The equivalent expression is 2 + 2x.

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Answer:

[tex]\$ 2.70\times 10^{12}[/tex]

Step-by-step explanation:

Complete question is here: In 2010, the population in the United States will be about 3.09x10^8. Spending for health care will be  about $8754 per person. About how much will the US spend on health care in 2010? Write in scientific  notation and round to the nearest hundred.

Given: Per person expenditure on healthcare is $8754.

          Total population in 2010 is 3.09x10^8.

Now, lets find out total money U.S will spend on health care.

[tex]\textrm{Total population} \times amount\ spent\ per\ person\ on\ healthcare}[/tex]

= [tex]8754\times 3.09\times 10^{8} = 27049.96\times 10^{8}[/tex]

= [tex]\$ 2.705\times 10^{12}[/tex] ≅ [tex]\$ 2.70\times 10^{12}[/tex]

∴ In 2010, U.S will spend [tex]\$ 2.70\times 10^{12}[/tex] on health care.

Answer:

about $2.70 × 1012

Step-by-step explanation:

$8754(3.09 × 108)

= $27,049.86 × 108

≈ $2.70 × 1012

Answer:

$18.50

Step-by-step explanation:

.37×50 = 18.5

$18.50

Answer:

$18.50

Step-by-step explanation:

GIven

1 stamp ----> $0.37

50 stamps ------> $0.37 x 50 = $18.50

Answer:

50%

Step-by-step explanation:

cause 50% is 1/2 and 1/2 of 20 is 10

Answer: 50%

Step-by-step explanation:

10 is half of 20.

Half converted to a percent is 50%

Answer: 1/30

Step-by-step explanation:

Answer:

3+(axb)

Step-by-step explanation:

The algebraic representation of the expression The sum of 3 times a and b is 3a + b

From the question, we have the following parameters that can be used in our computation:

The sum of 3 times a and b

By definiton:

sum means plus

Using the above as a guide, we have the following:

3 * a + b

When solved, we have

3a + b

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#SPJ3

Question

Translate the sentence into an algebraic expression

The sum of 3 times a and b

Answer:

$4.86

Step-by-step explanation:

2.97/11 =.27                 .27 x 18= 4.86

Answer:

4.86

Step-by-step explanation

Answer:

140 ft

Step-by-step explanation:

Answer:

70 would be the answer to this question....apparently.

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

25 divided by 1750 = 70

subtract 1750 to 175 =

00 subtract 00 = 00

overall 70 is your answer in long division

Answer:

About 9.5 meters tall. Make sure to include the meters and the wiggly equal sign indicating about

Step-by-step explanation:

This is just a ratio

1.66:3.5 = 4.5:x

Cross multiply

1.66x = 15.75

Divide by 1.66 on both sides

x = about 9.5

Answer: [tex]300\ Kg[/tex]

Step-by-step explanation:

Let be "x" the amount of butter (in kilograms) that the bakery used this month.

You need to divide the percentage by 100 in order to write it in decimal form. This is:

[tex]\frac{25}{100}=0.25[/tex]

According to the data given in the exercise, the total amount of butter they used last month is 240 kilograms.

Since 25% more butter was used this month than last month, you can write the folllowing equation:

[tex]x=240+(240 )(0.25)[/tex]

Evaluating, you get that the value of "x" is:

[tex]x=240+60\\\\x=300[/tex]

Therefore, the bakery used 300 kilograms of butter this month.

Final answer:

The bakery used 300 kg butter this month.

Explanation:

If a bakery used 25% more butter this month than last month and it used 240 kg of butter last month, then to calculate the amount of butter used this month, we need to add an additional 25% to the amount from last month. To find 25% of 240 kg, you multiply 240 kg by 0.25 (since 25% is the same as 0.25 when expressed as a decimal).

25% of 240 kg = 240 kg × 0.25 = 60 kg

Now, we add that 60 kg to the original 240 kg to find the total amount of butter used this month.

Total amount of butter used this month = 240 kg + 60 kg = 300 kg.

Therefore, the bakery used 300 kg of butter this month.

The solution to the linear equation d – 10 – 2d + 7 = 8 + d – 10 – 3d is d = 1.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

d – 10 – 2d + 7 = 8 + d – 10 – 3d

Simplifying:

-d - 3 = -2d - 2

Collecting like terms:

-d + 2d = -2 + 3

d = 1

The solution to the linear equation d – 10 – 2d + 7 = 8 + d – 10 – 3d is d = 1.

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Answer: 16 m

Step-by-step explanation:

We have the following data:

[tex]V=25 m/s[/tex] is the velocity of the object moving in uniform circular motion

[tex]t=1 s[/tex] is the time it takes to the object to go [tex]\frac{1}{4}[/tex] of a complete circle

We need to find the radius [tex]r[/tex] of the circle, and this can be found by the following equation:

[tex]V=\frac{2 \pi r}{T}[/tex] (1)

Where [tex]2 \pi r[/tex] is the circumference of the circle and [tex]T=4 t=4(1 s)[/tex] is the period for a complete circle.

Hence, isolating [tex]r[/tex] we have:

[tex]r=\frac{V T}{2 \pi}[/tex] (2)

[tex]r=\frac{(25 m/s)(4 s)}{2 \pi}[/tex] (3)

Finally:

[tex]r=15.9 m \approx 16 m[/tex] (4)

Answer:

0.04

Step-by-step explanation:

0.0398

when rounding if its over 5 you round up if its under you round down

The number 0.0398 rounded to the nearest cent; is 0.04.

According to the question;

To round off to the nearest cent;

We must know that cents is synonym for Hundredths;

Consequently; 0.0398 rounded to the nearest cent is 0.4

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The product of 576 and 684 is a rational number since it results in an integer, which is a subset of rational numbers.

The product of 576 and 684 is asked to be classified as rational or irrational. The multiplication of two integers will always produce another integer, as is the case with 576 multiplied by 684. Since all integers are rational numbers (they can be expressed as the ratio of two integers), the product, in this case, is also a rational number.

Therefore, the product of 576 and 684 is rational because it can be expressed as a ratio of the two integers (the product itself over 1), fitting the definition of a rational number which includes integers, fractions, finite decimals, and repeating decimals.

Final answer:

The product of 576 and 684 is a rational number because the multiplication of two integers always results in another integer.

Explanation:

The question asks whether the product of 576 and 684 is rational or irrational. A rational number is a number that can be expressed as a ratio of two integers. Since both 576 and 684 are integers, their product will also be an integer, as the multiplication of two integers always results in another integer. Therefore, this product is definitely a rational number. An irrational number, by contrast, cannot be expressed as such a ratio, and is typically found with non-repeating, non-terminating decimal expansions or with numbers like the square root of a non-square number. However, as there is no square root or any other irrational operation involved in multiplying 576 and 684, the result is rational.

Answer:

9/5

Step-by-step explanation:

1 2/3=5/3

3/(5/3)=(3/1)(3/5)=9/5