How is using mental math to add money like using mental math to add whole numbers? How is it different?

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

4 seconds

Step-by-step explanation:

Rate : 0.4 feet per second = 0.4 ft / 1 second

To solve for the missing number in the ratio, set the ratio equal to the given rate:

\(\frac{0.4ft}{1sec} =\frac{xft}{ysec}\)

\(\frac{0.4ft}{1sec}=\frac{\frac{3}{10} ft}{\frac{3}{x} sec}\)

\(\frac{0.4ft}{1sec} = \frac{0.3ft}{\frac{3}{x} sec}\)

\(0.4ft * \frac{3}{x} sec = 0.3ft * 1 sec\)

\(\frac{3}{x} =0.3/0.4 = 0.75\)

3 = 0.75x

x = 3/0.75 = 4 seconds

0.3ft / 0.75 sec = 0.4 ft / 1 sec

Answer:

The place value of 4 in 265 473 is 40,000

Answer:

Step-by-step explanation:

Order:

3 is in the ones place and has a value of 3

7 is in the tens place and has a value of 70

4 is in the hundreds place and has a value of 400

5 is in the thousands place and has a value of 5000

6 is in the ten thousands place and has a value of 60,000

2 is in the hundred thousands place and has a value of 200,000

Answer: 2 feet

Step-by-step explanation: 2 yards=6 feet. So, 6 feet - 4 feet is 2 feet

Diya starts of with a total of 2 yards. However we must convert yards into feet.

To convert yards into feet multiply value by 2.

SO now we have 2 feet. Since she uses 4 feet she is taking away some of the fabric. 6-4 is 2.

Answer:

3/15 < 1/3

Step-by-step explanation:

We have two fractions, 3/15 and 1/3. The question is asking us to compare them using the less than sign <, greater than sign >, or equal sign =.

To solve this question, what we must do is try to get both fractions the same denominators, which will be done through multiplying 3 by a certain number to get to 15, then doing the same for the numerator.

So what multiplied by 3 gets us 15?

5.

Multiply both the numerator and denominator by 5.

\(\frac{1*5}{3*5}\)

\(\frac{5}{15}\)

Now that they both have the same denominator, we can compare and see which is bigger.

5/15 (1/3) and 3/15.

By this we can see that 3/15 is less than 5/15.

Therefore 3/15 < 1/3

Answer:

thw y intercept iz 6 and the z

slope is -2x

Step-by-step explanation:

hope this helps

Answer: y = 6

Step-by-step explanation:

1. Let y = 0 to find the x-intercept(s).

0=-2 x +6

2. Subtract 6 from both sides.

- 6 = - 2 x

3. Divide both sides by -2.

-6/-2 = x

4. Two negatives make a positive so 6/2 = x

5. Simplify 6/2 to 3.  

3 = x

6. Switch sides.

x = 3

2. y-Intercept

1. Let x = 0 to find the y-intercept(s).

y = -2 x 0+6

2. Simplify and get y = 6

In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.

The given polynomial equation  can be expressed as ;

x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6

We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation

x = -8

[(-8)³ + 6(-8)² - 40(-8)]

= 192

[-512 + 384 + 320]

= 192

x = -4,

[(-4)³ + 6(-4)² - 40(-4)]

[-64 + 96 + 160 ]

= 192

x = 6

[(6)³ + 6(6)² - 40(6) ]

216 + 216 - 240

= 192

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Answer:

Step-by-step explanation:

A,B

x = –8

x = –4

Answer: B

Step-by-step explanation: It’s just about respect and good attention. Watching body language can help you know how they are feeling or if their verbal words match their feelings.

The area of the shaded sector of the circle is 7.27 m^2

The area of a circle is the amount of two-dimensional space taken up by the circle. It can be calculated by using the formula A = πr2, where A is the area, π is 3.14, and r is the radius of the circle. The radius is the distance from the center of the circle to any point on the circle. The diameter of a circle, which is the distance from one side to the other, is twice the radius. Therefore, the area of a circle can also be calculated by using the formula A = πd2/4, where d is the diameter of the circle.

The area of the shaded sector of the circle is 7.27 m^2.

This can be calculated using the formula A = (π/180) x r^2 x θ, where r is the radius (18 m in this case), and θ is the angle in degrees (110° in this case).

Therefore, A = (π/180) x (18^2 x 110) = 7.27 m^2.

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Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Answer:

D or f po siguro

Step-by-step explanation:

Hahahhahahhhah

a. The volume of the compost bin is 40 \(ft^{3}\), b. she can fill 114 bag and

c. Laura will collect $1,140 if she sells all the bags she fills.

What is rectangle?

A rectangle is a geometric shape that has four sides and four right angles (90 degrees) with opposite sides being parallel and equal in length.

(a) The volume of the compost bin can be calculated as:

Volume = Length x Width x Depth

Using the values given, we have:

Volume = 60 in x 48 in x 24 in

Converting inches to feet, we have:

Volume = (60/12) ft x (48/12) ft x (24/12) ft

Volume = 5 ft x 4 ft x 2 ft

Volume = 40 \(ft^{3}\)

Therefore, the volume of the compost bin is 40 \(ft^{3}\).

(b) Each bag can hold 0.35 \(ft^{3}\) of soil. To find out how many bags Laura can fill, we need to divide the volume of the compost bin by the volume of each bag:

Number of bags = Volume of compost bin / Volume of each bag

Number of bags = 40 \(ft^{3}\) / 0.35 \(ft^{3}\)

Number of bags = 114.29

Since Laura won't partially fill any bags, she can only fill whole bags. Therefore, she can fill 114 bags.

(c) Each bag will sell for a certain amount, and Laura can sell all the bags she fills. To find out how much money she will collect, we need to multiply the number of bags by the selling price of each bag:

Money collected = Number of bags x Selling price per bag

Money collected = 114 bags x $10 per bag

Money collected = $1,140

Therefore, Laura will collect $1,140 if she sells all the bags she fills.

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Based on the amount saved per week and the down payment of the property, the number of months it will take to save the amount is 46 months.

First, find out the amount saved per month:

= (30% x 2,051) x 2 payments a month

= $1,230.60

The downpayment is:

= 281,700 x 20%

= $56,340

The closing cost is:

= 1.15 x 56,230

= $843.45

The number of months till the amount is saved is:

= (56,340 + 843.45) / 1,230.60

= 46 months

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The equation of the line is  \(3x-y+5=0\).

Given,

Point (x,y)=(1,8)

Slope = 3

Equation of line can be determined by slope-intercept form,

Equation is in the form \(y=mx+c\)

Where, m= slope

then,

\(y=3x+c\)

Substituting the point in equation to find 'c',

\(8=3(1)+c\\\\8=3+c\\\\5=c\)

the equation of the line becomes

\(y=3x+5\\\\3x-y+5=0\)

Thus, the equation of the line is \(3x-y+5=0\).

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Answer:

183 cm³

Step-by-step explanation:

V(cone) = 1/3πr²h

= (π5²·7) ÷ 3

= 175π ÷ 3

≈ 58π or 183 cm³

Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

Answer:

noah

Step-by-step explanation:

liz = 10 feet/second

noah = 13.714 feet/second

brooke = 12.541 feet/second

zach = 9 feet/second

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

1: x = 6

2: x = 3/2

3: 1/2

4: 7/5

Step-by-step explanation:

Question 1:

Question 2:

Question 3:

Question 4:

The expression is factorized to give (x + 7) and (x + 7)

Factorization described a mathematical methods that consists of writing a number or mathematical object as a product of several other factors that are mostly simpler or smaller objects of the same kind.

Given the quadratic equation;

x² + 14x +49

Find the pair factors of 49 that sum up to 14, the numbers are 7 and 7

Now, substitute the numbers in the expression

x² + 7x + 7x + 49

Make into two expressions, we have;

(x² + 7x) + (7x + 49)

factor out the common terms, we get;

x(x + 7)+ 7(x + 7)

Then, we have;

(x + 7)

(x + 7)

Hence, the factorized form is (x + 7) and (x + 7)

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The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

mean =503.75

median=400

mode=400

range=691

Step-by-step explanation:

mean= 211+351+359+400+400+659+748+902=4030/8= 503.75

range= highest number -lowest number = 902-211=691

median= 400+400 =800/2= 400

Answer:

7/24

Step-by-step explanation:

1/8 + 1/6

First get a common denominator of 24

1/8 * 3/3 = 3/24

1/6 * 4/4 = 4/24

3/24 + 4/24 = 7/24

Answer:

\(\large\ The \ average \ of \ two \ numbers\ =\frac{\text{the sum of the two numbers} }{2}\)

Step-by-step explanation:

\(\large\ The \ average \ of \ two \ numbers\ =\frac{\text{the sum of the two numbers} }{2}\)

Let x and y be two numbers then the average of x and y is :

\(\large \frac{x+y}{2}\)

Example :

The average of 4 and 16 is :

\(\frac{4+16}{2} = \frac{20}{2} = 10\)

1.063 inches

0.027 meters

hope it helps!

The relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.

Translations is a transformation technique that changes the position of an object from one point on the plane to another.

Given the function below

g(x) = (x − 2)^3 + 6

The function compared to f(x) = x^3, shows a translation of f(x) by 2 unit to the right along the horizontal and vertical translation of the function 6 units up

Hence the relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.

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Answer:

g(x) is shifted 6 units to the left and 2 units down.

Step-by-step explanation:

took the test

Answer: 11/9

Step-by-step explanation:

you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9

Answer:

11/4 times 4/9 is 11/9

Step-by-step explanation:

We have to find,

(11/4) times 4/9

\((11/4)(4/9) = (11*4/4*9)\)

We can cancel the 4s from the numeratorand denominator to get,

\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)

The answer is 11/9

Based on the information given, the price of the zero coupon bond is $692.04.

To calculate the price of a zero coupon bond, we need to use the following formula:

\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)

Where:

Also, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.

Plugging in the values into the formula, we get:

\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)

\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)

\(\sf P = \dfrac{1000}{1.4450}\)

\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)

Therefore, the price of the zero coupon bond is $692.04.

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