Mr. Sanford left half of his fortune to April, his daughter. He left of the remaining half to his uncle Jed. He left half of the remaining half to his favorite charity. He left the remaining $30,000 to the local animal shelter. What was the total amount of Mr. Sanford’s fortune?

We have been given that a baseball coach graphs some data and finds the line of best fit. The equation for the line of best fit is [tex]y=0.32x-20.51[/tex],where x is the number of times at bat and y is the number of hits.

To find the number of hits in 175 times at bats, we will substitute [tex]x=175[/tex] in our given equation as:

[tex]y=0.32(175)-20.51[/tex]

[tex]y=56-20.51[/tex]

[tex]y=35.49[/tex]

Upon rounding to nearest whole number, we will get:

[tex]y\approx 35[/tex]

Therefore, the coach would expect 35 hits from a player who is at bat 175 times.

The expected number of hits  = 35.

The given line of best fit is [tex]y=0.32x-20.51.[/tex]

Given that:

x = the number of times a bat = 175.

We have to find y = ?

We plug x = 175 in the given equation.

[tex]y=0.32x-20.51\\y=0.32(175)-20.51\\y=35.49[/tex]

The integer before 35.49 is 35. [Because, number of hits can not be fraction.]

So the expected number of hits  = 35.

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Answer:

30

Step-by-step explanation:

6 ÷ 1/5 = 6×5 =30

Answer:

30 Pillows

Step-by-step explanation:

If she already has 6 yards of fabric and each pillow needs 1/5 of a yard of each fabric. You just divide.

Answer:

The maximum number of wren that could nest in the area based on the number of cholla cacti is:

Step-by-step explanation:

The information provided by the text mentions that each cholla cactus can house a nest in which two adults and a maximum of five young will live (seven in total per nest), so this information can be represented as follows:

Since six cholla cacti are counted in the area, this value is replaced in the created equation:

The area could house a maximum of 42 wrens, where 12 would be adults and 30 would be young at most.

Answer:

4x aka 4/1 meaning you rise 4 in a graph and run 1 in a positive trend.

Step-by-step explanation:

the slope for slope intercept formulas is the number with the x or the x alone if its 1.

3x (x - 1) = 3x² - 3x

Answer:

3x² - 3x

Step-by-step explanation:

Assuming you require to simplify the expression

Given

3x(x - 1) ← multiply each term in the parenthesis by 3x

= (3x × x) + (3x × - 1)

= 3x² + (- 3x)

= 3x² - 3x

Answer:

A.) $1669

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

B. 51

Step-by-step explanation:

Highest number=54

Lowest number=3

Range=Highest-lowest

54-3= 51

Please mark as brainlist and vote my answer.

Answer:

B. 51

Step-by-step explanation:

You have to order the numbers by least to greatest then the biggest number is subtracted by the smallest number  

54-3=51

Hope this helps! :)

Answer:

0.2

Step-by-step explanation:

Answer: 0.2

Second : 2.0

Step-by-step explanation:

Answer:

Jennifer has 45 books and Jeremy has 15.

Step-by-step explanation:

15x3=45

45+15=60

Answer:

281 ft²

Step-by-step explanation:

Cuboid + lateral surface area of the pyramid - square base

2[(4×12)+(4×5)+(12×5)] + 4[½×5×(12-7)] - 5²

2(48+20+60) + 4(12.5) - 25

2(128) + 50 - 25

256 + 25

281 ft²

Answer:

[tex]281 {ft}^{2} [/tex]

Answer:

$63

Step-by-step explanation:

Take 60 (the money amount in his savings account) and multiply by .05 percent which is 5 percent. This is 3. So 60 + 3 = $63.

Answer:

x=85

Step-by-step explanation: You need to cross multiply

Answer:

I think its D, hope its right

The true statement about the stem and leaf plot is (d) The stem does not clearly show the outlier.

The stem and leaf plot is given as:

0    | 9, 2, 3, 1, 9.

1     | 4, 6, 2

2     | 7, 6, 2

3     | 8, 4

5     | 5

Notice that the stem 4 is missing

The proper stem and leaf plot is given as:

0    | 1, 2, 3, 9

1     | 2, 4, 6

2     | 2, 6 7

3     | 4, 8

5     | 5

When the leaves are not arranged, then the stem plot would not show outliers

Hence, the true statement about the stem and leaf plot is (d) The stem does not clearly show the outlier.

Read more about stem and leaf plots at:

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 Answer:D

Step-by-step explanation:

Answer:

d(x) = 11500*0.945^x

Step-by-step explanation:

Chuy's truck loses 5.5% of its value each year.  That means each year:

(current worth of truck) = (previous year's worth) - (previous year's worth)*5.5%

The current worth is also equivalent to (previous year's worth)*94.5%.

After one year, the worth is (first year)*94.5%.

After two years, the worth is ((first year)*94.5%)*94.5%.

Note that each year, the original value of the car is multiplied by 94.5% to get the current worth.  Recall also that 94.5% = 0.945.

d(x) = 11500*0.945^x, where 11500 is the original price.

Final answer:

The function representing the value of Chuy's truck x years after purchase, given a depreciation rate of 5.5% annually, is [tex]d(x) = 11500(1 - 0.055)^x[/tex]. This formula calculates the truck's decreasing value over time.

Explanation:

The question asks for the function d(x), which represents the value of Chuy's truck x years after its purchase, given it depreciates at a rate of 5.5% annually. The general formula to calculate depreciation using a percentage rate is

[tex]V = P(1 - r)^x[/tex]

where V is the future value of the item, P is the initial purchase price, r is the annual depreciation rate (in decimal form), and x is the number of years.

In this case, Chuy's truck was purchased for $11,500, and it depreciates at a rate of 5.5% per year. Substituting these values into the formula, we get the function for the value of the truck as-

[tex]d(x) = 11500(1 - 0.055)^x[/tex]

This equation allows us to determine the truck's value at any amount of years after the purchase.

Answer: 7.8

Step-by-step explanation:

Answer:

155.9 = h

Step-by-step explanation:

Since it is an equilateral triangle, the angles are all 60 degrees

Call the angle on the bottom right theta

Theta = 60 degrees

The angle h makes with the base is 90 degrees so it is a right triangle

sin theta = opp/ hyp

sin 60 = h/ 180

Multiply each side by 180

180 sin 60 = h

155.8845727  = h

To the nearest tenth

155.9 = h

Answer:

28.36°

Step-by-step explanation:

The problem represents a right angled triangle as shown in the diagram below.

The length of the handicap ramp is 25 feet.

The side ground distance covered by the ramp is the adjacent of the angle of the triangle and it is 22 feet.

To find the angle of elevation of the incline, we apply SOHCAHTOA:

cos θ = adj / hyp

Therefore:

[tex]cos \alpha = 22 / 25\\\\cos \alpha = 0.88\\\\\alpha = cos^{-1} 0.88\\\\\alpha = 28.36^o[/tex]

The angle of elevation of the incline for the handicap ramp is 28.36°.

Answer:

9 inches by 12 inches

Step-by-step explanation:

(12)(0.75)=9

(16)(0.75)=12

Answer:

smaller number is  7

larger number is 35

Step-by-step explanation:

Let the smaller number be x

Given that greater number is 6 more than 4 times the smaller number.

If x is value of smaller number then 4 times the smaller number is 4*x= 4x

six more than 4 times the smaller number will be 6+4x.

Thus larger number is 6+4x

Sum of smaller and larger no is 41.

Substituting the value of smaller and larger number in sum we have

x+6+4x = 41

=> 5x+6 = 41

=> 5x = 41-6

=> 5x= 35

=>x = 35/5 = 7

Thus smaller number is x = 7

larger number = 4x+6 = 4*7+6 = 35

To find the two numbers, we can set up two equations and solve them using substitution and simplification. The smaller number is 7, and the larger number is 34.

To solve this problem, we can set up two equations.

Let's call the smaller number 'x' and the greater number 'y'.

From the given information, we know that:

y = 4x + 6 (Equation 1)

x + y = 41 (Equation 2)

Now, we can substitute Equation 1 into Equation 2 to solve for 'x':

x + (4x + 6) = 41

Combining like terms, we have:

5x + 6 = 41

Next, subtracting 6 from both sides gives:

5x = 35

Finally, dividing both sides by 5 gives:

x = 7

So, the smaller number is 7.

Plugging this value back into Equation 1:

y = 4(7) + 6 = 34

Thus, the larger number is 34.

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Step-by-step explanation:

3 1/2 = 3.5

10 2/9 = 10.22

So

3.5 x 10.22 = 35.77

Answer:

322/10

Step-by-step explanation:

Answer:

2 is the constant of proportionality

Step-by-step explanation:

we look at the linear function y = 2x + 2

You ask for the constant of proportionality.

y  related to x

y =  2 * (x + 1)

y/(x + 1) = 2  

2 is the constant of proportionality

Answer:

Rohit takes 4 4/5 minutes ( =4.8 minutes) to make a complete round of a circular park. For finishing 15 rounds, he needs time T:

T = 15 x 4.8 = 72 minutes

Hope this helps!

:)

Answer:

Priya bought 2 pears

Step-by-step explanation:

5 Oranges = £2.00

3 Apples = £1.05

2 Bananas = 24p

£2.00 +  £1.05 + 24p = £3.29

£3.29 + 25p = £3.54

£3.54 + 25p = £3.79

Answer:

2 pears

Step-by-step explanation:

40×5=2

35×3=1.05

12×2=24

Total sum=2+1.05+24=3.29

3.29-3.29=50

50÷25=2

ans:2 pears

Answer:

c.) 13 years

Step-by-step explanation:

5,600*.08*13=5,824

5,824+5,600=11,424

Answer:

Answer; y= -x/2 -5/2 OR

2y= -x-5 or

2y +x +5 =0

Step-by-step explanation:

To solve this question, you first find the gradient. For this question the gradient is -1/2. After that, you take one of the points and fix it into this equation: y -y^1 = m(x -x^1).

m =gradient or slope of the line.

Answer:

The Cholula Pyramid has a bigger volume out of the two.

Step-by-step explanation:

The volume of a Pyramid is V=1/3Bh

Volume of the Choulula = 1/3 (2,178,576)(217)= 157,583,664

Volume of The Cheops Pyramid = 1/3 (570,025)(480)=91,204,000

157,583,664 is greater than 91,204,000

To determine the pyramid with the most volume using the formula for the volume of a pyramid.

The volume of a pyramid: To determine which pyramid has the most volume, we use the formula for the volume of a pyramid: Volume = (1/3) × base area × height.

Cholula Pyramid: Volume = (1/3) × 1456 ×  121 = 7307680 cubic feet

Cheops Pyramid: Volume = (1/3) × [tex](585)^2[/tex] × 464 = 47640550 cubic feet

Therefore, the Cheops Pyramid has the most volume.