if Joey drives 222 3/4 miles 3 3/8 hours . if he drives at a constant rate how far will he drive in one hour ?

Answer:

See below

Step-by-step explanation:

Robert pays 35 %   in 12 monthly installments

6480 * .35 / 12 = 189 dollars per month

Answer:

the correct answer is 15.2

Distribution of

a(b + c) = ab + ac

Then

36 + 12 is equivalent to

Find composed numbers

36= 3•12

12 = 3•4

THEN ANSWER IS

3• (12 + 4)

Given the interval of the distribution as

a) To find the mean, we will calculate the mid-value of the interval, this is shown below

Hence, the mean is 5.38

b) To find the standard deviation

Hence, the standard deviation is 0.2194

c) The probability that the child will be older than 5 years will be

Hence, the probability that the child will be older than 5 years is 1.0

d) The probability that the child age is between 5.4 and 5.6 years old will be

Hence, the probability that the child age is between 5.4 and 5.6 years old is 0.2632

e) If the child is at the 53rd percentile, the age of the child will be

Hence, at the 53rd percentile, the age of the child is 5.4028 years old

Given: Linh buys $11.23 worth of groceries and pays for them with a $20 bill.

So, the change will be = 20 - 11.23 = $8.77

Answer:

3

Step-by-step explanation:

Hello!

A simple way to find if the number is a multiple of 9 is if the sum of the digits in the number is a multiple of 9, then the number itself is a multiple of 9.

So that means: 7 + 2 + b + 3 + 8 + 4 is a multiple of 9

If we add it up we should get: 24 + b

The multiples of 9 include 9,18,27,36,45,54....., and the closest multiple of 9 to 24 is 27. Therefore, the missing digit should be 3, as 27 - 24 is 3.

The next closest numbers would be 18 and 36, but you would need to add a negative number to get 18, and a two-digit number to get 36.

Answer:

Printer B prints the fastest

They can use counters or their fingers, but they can also use doubles facts. If they know 5 + 5 = 10, they know that the sum of 5 + 6 will be one more.

One of the four fundamental mathematical operations, along with addition, subtraction, multiplication, and division, is addition.

The sum of 5 + 6.

They can utilize counters or their fingers, but they can even utilize doubles facts. If they understand 5 + 5 = 10, they know that the sum of 5 + 6 will be one more.

Therefore, 5 + 6 = 11.

Estimating other doubles-plus-one facts together, such as 3 + 4, 7 + 8, and 9 + 8.

Repeat the doubles facts so they can use them to solve equations.

They can also use doubles-minus-one facts to enable them solve equations.

Write down 9 + 10 and have your children find the sum.

If they know that 10 + 10 = 20, they know that the sum of 9 + 10 will be one less. Therefore, 9 + 10 = 19.

Practice solving different number sentences together.

Therefore, they can utilize counters or their fingers, but they can even utilize doubles facts. If they understand 5 + 5 = 10, they know that the sum of 5 + 6 will be one more.

Therefore, the correct answer is option A 5 + 5 = 10.

The complete question is:

Which doubles fact helps you solve 5 + 6 = 11? Circle the number sentence.

A 5+5=10

B6+6=12

C7+7= 14

D 8+8=16

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The area of the wall whose length is 4y+8 and the height is 4y is 16y^2 + 32y.

How area is calculated?

Area is a phrase used to describe how much room a 2D form or surface occupies. Area is measured in square units, such as cm2 or m2.

The area of a form is computed by dividing its length by its breadth.

It is given that the length of the wall is 4y+8 and height of the wall is 4y.

From this given information, we can conclude that the wall is rectangle.

Formula to calculate the area of rectangle is:

Area of rectangle = length x breadth

Putting the value given in the question:

Area of the wall = (4y+8)(4y)

Area of the wall = 16y^2 + 32y

Therefore, the area of the wall is 16y^2 + 32y

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Answer:

Let x = amount in low risk account, then 10000-x is amount invested in high risk account. To earn 10% of 10000:

(.10)(10000) = (.055)x + .12(10000-x)

1000 = 1200 -.045x

x = 4444.44 in low risk and 5555.56 in high risk

Problem

Solution

For this case we can conclude that:

DE = r

DF= s

EF= t

1) Solving that linear system using the elimination method, we'll proceed this way.

1.1 Choose one variable to be canceled out firstly. Let's choose the x variable:

6x + 5y = -15

-2x -3y= 17 Multiply this whole equation by 3

6x + 5y = -15

-6x -9y= 51 Add both equations

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

0 -4y =36 Divide both sides by -4

y = -9

2) Now let's plug into any equation, usually the one with smaller numbers y= -9

-2x -3(-9) = 17

-2x +27 = 17 Subtract 17 from both sides

-2x =17-27

-2x = -10 Divide both sides by -2

x= 5

3) So the solution is (5, -9)

-

The most appropriate choice for supplementary angle will be given by-

x = 25.2°

∠AFB = 158.4°

∠RST = 21.6°

What is supplementary angle?

Angle is formed when two straight lines meet at a common point.

The common point is the vertex of the angle and the lines are called the arms of the angle.

Two angles are said to be supplementary if their sum is 180°

Here,

∠AFB = 7x - 18

∠RST = 72 - 2x

Sum = 7x - 18 + 72 - 2x

        = 5x + 54

By the problem,

[tex]5x +54=180\\5x = 180-54\\5x =126\\x= \frac{126}{5}\\x = 25.2[/tex]

∠AFB = [tex]7 \times 25.2 -18\\[/tex]

          = [tex]176.4 - 18\\[/tex]

          = [tex]158.4^{\circ}[/tex]

∠RST =

             [tex]72 - 2\times 25.2\\72 - 50.4\\21.6^{\circ}[/tex]

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Explanation: First of all we need to know if our triangle is a right triangle (has one 90° inner angle) to be able to use the law of sines to calculate the distance between Amanda and the helicopter.

Step 1: Once we know that the sum of all inner angles of a triangle is equal to 180° we can calculate the unknown angle as follows

As we can see above the missing inner angle is 90° which means it is a right triangle.

Step 2: Now we can use the law of sines as follows

once sin (90°) = 1 and sin (30°) = 0.5, let's calculate "x" below

Final answer: As we can see above, the final answer is 2000 ft

The dimension of the brick is given 110 cm x 655 cm x 1330 cm.

We know that 1 cm = 10^-2 m.

So, the dimensions of brick in meters will be 1.10 m x 6.55 m x 13.30 m.

The volume of the brick is calculated below:

Thus, the volume of the brick in cubic meters is 95.8265 m^3.

Given:

We have given fraction

Required:

We have to find the required data which is equal to above fraction solution.

Explanation:

In the above fraction we have same base in numerator and denominator and hence,

when the base is same power are added.

Required answer:

Option d is correct.

which is equal to our calculated answer.

Given the Linear Equation:

(a) You need to solve for "y", in order to rewrite it in Slope-Intercept Form, because that form is:

Where "m" is the slope of the line and "b" is the y-intercept.

Then, you get:

Notice that:

(b) You can graph the line by finding the x-intercept and the y-intercept. You already know that the y-intercept is:

Then, in order to find the x-intercept, you need to substitute this value of "y" into the equation and then solve for "x":

Because the value of "y" is zero when the line intersects the x-axis.

Therefore, you get:

Now you know that the line passes through these points:

Hence, you can graph it.

Therefore, the answers are:

(a) Equation in Slope-Intercept Form:

(b) Graph:

a We have fractions in order to order from least to greatest we will convert the fractions into decimal number

as we can see the least number is -3/8 then -3/16 and the greatest number is 7/4

-When y = 0 :

10*x -8*0 = 16 (Replacing y=0)

10x = 16 (Multiplying)

x = 16/10 (Dividing on both sides of the equation by 10)

x= 8/5 (Simplifying)

- When x= 0:

10*0 -8*y = 16 (Replacing x=0)

-8y = 16 (Multiplying)

y= 16/(-8) (Dividing on both sides of the equation by -8)

y= -2 (Dividing)

- When x= 2

10*2 -8*y = 16 (Replacing x=2)

20 - 8y = 16 (Multiplying)

20 = 16 + 8y (Adding 8y to both sides of the equation)

20 - 16 = 8y (Subtracting 16 from both sides of the equation)

4 = 8y (Subtracting)

4/8 = y (Dividing on both sides of the equation by 8)

1/2 = y (Simplifying)

- When y= 4

10*x -8*4 = 16 (Replacing y=4)

10 x - 32 = 16 (Multiplying)

10x = 32 + 16 (Adding 32 to both sides of the equation)

10x=48 (Adding)

x = 48/10 (Dividing on both sides of the equation by 10)

x=24/5 (Simplifying)

So, the complete chart would be:

x tea chart : 8/5,0,2, 24/5

y tea chart: 0,-2,1/2,4

The scientific notation of the expression is as follows:

The proper format for scientific notation is a x 10ᵇ where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10.

Scientific notation is a special way of writing numbers.

The expression can be express in scientific notation as follows:

Therefore,

(7 × 10⁻⁶) (7 × 10⁻⁶)

Hence, we have to multiply the integers and add the exponents as follows:

(7 × 7) × (10⁻⁶. 10⁻⁶)

49 × 10⁻⁶⁻⁶

49 × 10⁻¹²

4.9 × 10⁻¹¹

Hence, the second can be express in scientific notation as follows:

(3.76 × 10⁵) + (7.44 × 10⁵)

(3.76 + 7.44) × 10⁵

11.2 × 10⁵

1.12 × 10⁵⁺¹

1.12 × 10⁶

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Measure of ∠B = 16°

∠A and ∠B are Vertical angles with ∠A = x+12° and ∠B = 6x-8°.

Vertical angles are angles formed between two lines at the intersection of them and are opposite to each other.

Also measures of Vertical angles are equal.

Now to find the measure of ∠B, we need to find x.

So here,  ∠A = ∠B

⇒ x+12° = 6x-8°

⇒ 6x - x = 12 + 8

⇒ 5x = 20

⇒ x = 4

Hence, ∠B = 6x-8° = 6 x 4 -8 = 16°

So measure of ∠B = 16°

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Answer:

Match that i have the step by step explanations

Step-by-step explanation:

A, F, C, D, E, F, B

Answer: 8 + 7x

Step-by-step explanation:

      The perimeter is the same as all the side lengths added together. We will set up an expression, then simplify it by combining like terms.

      (4 - x) + (7x - 1) + (6x + 13) + (-8 - 5x)

      4 - x + 7x - 1 + 6x + 13 - 8 - 5x

      4 - 1 + 13 - 8 - x + 7x + 6x - 5x

      8 + 7x

Let's start by completing the first table.

The questions gives the depth in two times:

- 2 hours after start -> 64 inches of water

- 4 hours after start -> 48 inches of water

From this, we can identifythe units:

- for time, we will use hours

- for depth, we will use inches

The first given values are:

- for time, 2

- for depth, 64

The second given valuesa are:

- for time, 4

- for depth, 48

So, the table is:

Quantity Name | Time | Depth of Pool

Unit | hour | inch

Given Value 1 | 2 | 64

Given Value 2 | 4 | 48

Now, we need to calculate the slope, which can be done using the given points and the equation:

So, the slope is -8 inches per hour.

The interceptwe the b in the equation:

Where y is the depth and x is the time. So, using the first given values and the slope, we can find b:

Thus, the intercept is 80 inches.

So, the formula we have for the pump is:

Using it, we can answer questions 1 and 2:

1. After 6 hours means x = 6, so:

So, y = 32, thus, the depth of the water will be 32 inches.

2. The level 24 inches mean y = 24, so:

Thus, x = 7, and the water will be at 24 inches after 7 hours.

The answer to the given expression is 2

To "solve" or "isolate" a variable is to place it on its own side of the equation.

All other variables or constants should be moved to the opposite side of the equation using inverse operations. The operations must be applied to both sides of the equation in order to maintain the equation's balance.

Given : x = 5 and y = 7

To find :  [tex]\frac{y^{2} - x }{y + 3x}[/tex]

When we substitute the values mentioned above in this above expression we get;

[tex]\frac{7^{2}- 5 }{ 7+ 3X5}[/tex]

⇒ [tex]\frac{49 - 5}{ 7 + 15}[/tex]

⇒ [tex]\frac{44}{22}[/tex]

On dividing it with 22 we get

[tex]\frac{44}{22}[/tex] = 2

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Total ribbon Pam needs = 2 yards

Total ribbon Pam purchased = 0.497 + 0.91 + 0.40 = 1.807

The amount of ribbon Pam needs is calculated as,

Thus the amount of ribbon needed is 0.193 yards .

From the given question, we have the following parameters

Cost of a small greeting card = $1.60

The cost of a large greeting card = $4.05.

Cost of 5 small greeting cards = 5(1.60)

Cost of 5 small greeting cards = $8.00

Cost of 4 large greeting cards = 4(4.05)

Cost of 4 large greeting cards = $16.2

Cost of 5 small and 4 large = $8.00 + $16.2

Cost of 5 small and 4 large $24.2

Hence it would cost $24.2 to get 5 small greeting cards and 4 large greeting cards

Similarly;

Cost of x small greeting cards = 1.60x

Cost of y large greeting cards = 4.05y

Cost of small greeting cards and y large greeting cards = 1.60x + 4.05y

Hence it would cost $(1.60x + 4.05y) to get x small greeting cards and y large greeting cards

Holly ate two [tex]\frac{1}{6}[/tex] fractions.

Holly ate 1 more brownie, then Tori

     = 1+2

      = 3

She ate [tex]\frac{3}{9}[/tex] fraction

Two equivalent fractions = [tex]\frac{3}{9} = 2x[/tex]

           [tex]x = \frac{1}{6}[/tex]

Holly ate two [tex]\frac{1}{6}[/tex] fractions.

What are Fractions?

Fractions are referred to as the components of a whole in mathematics. A single thing or a collection of objects might be entire. When we cut a slice of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Latin. "Fractus" means "broken" in Latin. The fraction was expressed verbally in earlier times. It was afterward presented in numerical form.

A piece or sector of any quantity is another name for the fraction. It is indicated by the sign "/," such as a/b. For instance, in the fraction 2/4, the bottom part represents the denominator, and the top part the numerator. This article's focus is on going to learn the meaning of fractions in mathematics, different sorts of fractions, how to convert fractions to decimals, and a ton of problems that have been solved and well explained.

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