Anna ate 5/8 of an orange and gave the other 3/8 to her brother. Which equation can be used to find the difference between the amount Anna ate and the amount she gave her brother?

Solution:

Note that:

First, let's convert the yards into feet.

Now, divide 18 both sides to find the cost of 1 foot.

The price of the twine per foot is $0.16.

The first step is to convert yards to foot: 1 yard = 3 foot

In order to convert yards to foot, multiply 6 by 3: 6 x 3 = 18 foot

The price per foot can be determined by dividing $2.88 by 18 foot

$2.88 / 18 = $0.16

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Solution:

It should be noted:

Using the formula:

Correct option is A.

Answer:

1808.48 centimeters long

Answer:

1808.48 cm

Step-by-step explanation:

the conversion from inches to cm is 2.54cm per inch

with that in mind,

take the 712 inch pencil and multiply it by 2.54 cm to convert it

leading to

712 * 2.54 = 1808.48 cm long.

Answer:

8 times longer

Step-by-step explanation:

The actual garden is 8 times the blueprint.

Reasoning? 56/7=8

How to check:

Use inverse operations:

7*8=56

Answer:

28.5 units²

Step-by-step explanation:

You are correct.

You divided the figure into a square, a rectangle and a triangle.

You can also just divide into a rectangle and a triangle as I did below, and there are other ways of dividing the figure to find the area.

Bottom rectangle: 8 units by 3 units

Top triangle: base = height = 3 units

total area = area of rectangle + area of triangle

total area = length × width + base × height / 2

total area = 8 units × 3 units + 3 units × 3 units / 2

total area = 24 units² + 4.5 units²

total area = 28.5 units²

The constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

A perfect square trinomial is an algebraic statement with three terms of the type ax²+bx+c. It is calculated by multiplying a binomial with itself.

For the given trinomial to be a perfect square trinomial, the value of the constant term should be such that the value of the term expression must be similar to (a+b)². Therefore,

[tex](a+b)^2=a^2+2ab+b^2[/tex]

            [tex]=x^2+8x+16[/tex]

Now, if we compare the two equations we will understand that the first term of the perfect square trinomial is x, and thus, the last term should 16.

[tex](x+4)^2=x^2+8x+16[/tex]

Hence, the constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

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16 is the constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles will be (x + 4).

A perfect square is a number that may be written as the product of two integers or as the integer's second exponent.

The perfect square obtained from the given equation is  (x + 4).;

On squaring we get;

[tex](x + 4)^2 = x^2 + 8x + 16.[/tex]

16 is the only constant term in the equation.

Hence 16 is the constant term that is necessary to complete the perfect square.

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Answer:

b = 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 18 ) and (x₂, y₂ ) = (- 3, 8 )

m = [tex]\frac{8-18}{-3-2}[/tex] = [tex]\frac{-10}{-5}[/tex] = 2 , then

y = 2x + b

to find b substitute either of the 2 points into the equation

using (2, 18 )

18 = 4 + b ⇒ b = 18 - 4 = 14

Answer:

[tex]\displaystyle f'(x) = -12x^2 + 4x[/tex]

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Calculus

Limits

Differentiation

The definition of a derivative is the slope of the tangent line:                       [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle f(x) = -4x^3 + 2x^2[/tex]

Step 2: Differentiate

∴ the derivative of the given function will be equal to -12x² + 4x.

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

[tex]31 \frac{4}{15}[/tex]

Step-by-step explanation:

(convert the mixed numbers into improper fractions = [tex]a\frac{b}{c} = \frac{a*c+b}{c}[/tex] )

[tex]\frac{4*3+2}{3}*\frac{6*10+7}{10}[/tex]  

Steps if needed:

4*3 = 12+2 =14

6*10=60+7=67

[tex]\frac{14}{3} *\frac{67}{10}=\frac{14*67}{3*10}[/tex]

= [tex]\frac{938}{30}[/tex]

Simplify: Divide by 2

[tex]\frac{469}{15}[/tex] || 938/2 = 469   30/2 = 15

Convert your answer to a mixed fraction

[tex]31\frac{4}{15}[/tex]

469/15 = 31.26....

15*31 = 465

465+4 = 469

So your answer is 31 4/15

Answer:

z ≤ 17

Step-by-step explanation:

Step 1: Subtract 37 from both sides.

Solution:

Step-1: Plot the points on the graph.

~Graph attached

Step-2: Find the distance by counting

We can see that (-9,6) is 9 units to the left of the origin and 10 units further to reach (10, 6).

Answer:

3 minutes 26 seconds

Step-by-step explanation:

rate x time in Distance problems, and W = rate x time in work problems. The Work is generally 1, the whole job.

For Peter the formula is 1 (lawn mowed) = 1/6 lawn per minute x 6 minutes.

For the son the formula is 1 = 1/8 * 8.

Add their rates together, 1/8 + 1/6 = 3/24 + 4/24 = 7/24.

The equation for their rate working together is 1 = 7/24 * t

Divide both sides by 7/24 to find t. t = 1 / 7/24 = 1 * 24/7 = 24/7 = 3 and 3/7 minutes = approx. 3 minutes 26 seconds.

Answer:

x=31.66

Step-by-step explanation:

1st i did 600-125=475

so now i have to do 475 divided by 15

that is 31.66

so she has to wait 31.66 weeks to get the $475 dollars she needs

Answer:

Slope is -0.6, hope this helps

Answer:

it would be 800-300 =500.

Answer:

1/2

Step-by-step explanation:

Sin 30 degree equals to the fractional value of 1/ 2. In the same way, we can derive other values of sin degrees like 0°, 30°, 45°, 60°, 90°,180°, 270° and 360°.

Answer:Sin 30=1/2

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Luckily, we don't need to use the distance formula as we just need to find the distance between the x-coordinates. Thus, |4-9| = |-5| = 5, which means that the distance between (4,-3) and (9,-3) is 5 units

Answer:

5

Step-by-step explanation:

Point (4, -3) and point (9, -3) have the same y-coordinate of -3.  Therefore, both points are on the line y = -3.

Any line that is y = {number} is a horizontal line.

Therefore, to find the distance between the points, find the difference between the x-values:

9 - 4 = 5

Therefore, the distance between (4, −3) and (9, −3) is 5

The inequalities that satisfy this condition is 4x + 8y ≥ 200 and x + y ≤ 60

An inequality is an expression that shows the non equal comparison between two or more numbers and variables.

Let x represent the number of peanuts and y represent the number of cashew nuts.

She must buy a minimum of 10 kg of peanuts and a minimum of 5 kg of cashew nuts. Hence:

x ≥ 10, y ≥5

Also:

x + y ≤ 60

And:

4x + 8y ≥ 200

The inequalities that satisfy this condition is 4x + 8y ≥ 200 and x + y ≤ 60

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For a standard normal distribution, the approximate value of p

( z≥-1.25 ) is 0.8945.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.

As we know that Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

It is given that z-score≥-1.25

From the standard normal table, the p-value corresponding to z≥-1.25 is

0.8945.

Therefore, For a standard normal distribution, the approximate value of p ( z≥-1.25 ) is 0.8945.

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Answer:

89%

Step-by-step explanation:

To make it easy. Hope this helps

Answer:

B, between 3 and 4 miles

Step-by-step explanation:

We know that h is 9.

√1.5*9

1.5*9=13.5

This can be done without a calculator.

if we know that √13.5 is in between √9 and √16 and that √9=3 and that √16 is equal to √4, it can be concluded that the answer is in between 3 and 4.

Step-by-step explanation:

when counting the events we see, he did

22+19+20+18+21 = 100 experiments.

and he got in 20 cases out of the possible 100 a purple marble.

that means the observed probability to pull a purple marble is 20/100 = 1/5.

now he does 25 more pulls.

each with the probity of 1/5 to pull a purple marble.

so, he should expect to pull a purple marble 25×1/5 = 5 times.

Answer:

50

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = - 4n - 10

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₈ = - 42 and a₁₆ = - 74 , then

a₁ + 7d = - 42 → (1)

a₁ + 15d = - 74 → (2)

subtract (1) from (2) term by term to eliminate a₁

8d = - 74 - (- 42) = - 74 + 42 = - 32 ( divide both sides by 8 )

d = - 4

substitute d = - 4 into (1) and solve for a₁

a₁ + 7(- 4) = - 42

a₁ - 28 = - 42 ( add 28 to both sides )

a₁ = - 14

Then

[tex]a_{n}[/tex] = - 14 - 4(n - 1) = - 14 - 4n + 4 = - 4n - 10

Answer:

[tex]a_{n}=-10-4n[/tex]

Step-by-step explanation

[tex]a_{n}=a_{1}+(n-1)d\\Given:a_{8}=-42\\&a_{16}=-74\\Hence: \\a_{8}=a_{1}+7d=-42 (1)a_{16}=a_{1}+15d=-74 (2)\\ \left \{ {{a_{1}+7d=-42} \atop a_{1}+15=-74}} \right. \\(2)-(1):8d=-32\\ d=-32/8 =-4\\Substitute :d=-4 in equation (1)"\\-42=a_{1}+7(-4)\\-42=a_{1}-28\\a_{1}=-14\\Hence:\\a_{n}=-14-(n-1)4\\a_{n}=-14-4n+4\\a_{n}=-10-4n[/tex]

Answer:

19

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

All triangles without exception, have 3 angles that add to 180o.

You know two of them. The statement above will help you get the third.

35 + 33 + x = 180                Combine the left

68 + x = 180                        Subtract 68 from both sides.

x = 180 - 68

x = 112

Answer: The value of x is 112

Step-by-step explanation:

add the two values given: 35+33= 68

then subtract 68 from 180 (sum of angles is 180°) = 112

112+35+33= 180

Step-by-step explanation:

answer is provided in picture

Answer:

gradient = 2

Step-by-step explanation:

calculate the gradient m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (5, 8) ← 2 points on the line

m = [tex]\frac{8-0}{5-1}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Answer:

The LCM of 26 and 32 is 416.