6⋅[(32−8)÷4+2]
value?

Answer:

The answer is 7/24

Step-by-step explanation:

Rewriting our equation with parts separated

=2+16−1−78

Solving the whole number parts

2−1=1

Solving the fraction parts

16−78=?

Find the LCD of 1/6 and 7/8 and rewrite to solve with the equivalent fractions.

LCD = 24

424−2124=−1724

Combining the whole and fraction parts

1−1724=724

Solution by Formulas

converting mixed numbers to fractions, our initial equation becomes,

136−158

Applying the fractions formula for subtraction,

=(13×8)−(15×6)6×8

=104−9048

=1448

Simplifying 14/48, the answer is

=724

Hope I helped :)

Answer:

A ≈ 78.54

Step-by-step explanation:

Area of a circle is A=πr^2

Since you do not know r (radius) you take the formula for the circumference of a circle (C=2πr), plug in 31.4 for C, and solve for r

Now that you have the radius of 4.99746521, you round it up to 5 and solve the area formula with 5 in as r.

answer:78.5

for explanation see the picture

Jackson can fill 2 bags of trail mix, with each bag holding ½ pound of trail mix.

To calculate how many bags of trail mix Jackson can fill:

First, determine how many bags can be filled with 1 pound of trail mix:

1 pound bag ÷ ½ pound per bag = 2 bags

Next, divide the pound box into bags: 1 pound box ÷ ½ pound per bag = 2 bags

Therefore, Jackson can fill 2 bags of trail mix.

The distance between 178 and 313 on a number line is:  135

We know that the distance between two points a and b on a number line is equal to the absolute difference between the two numbers.

i.e. Distance between two numbers = |a-b|

Here we have:

a= 178

and b=313

This means that:

|a-b|=|178-313|=|-135|=135

Answer:

E.) 5 cm

Step-by-step explanation:

The shapes are congruent and are the same size,  side TU is the same as NP. If TU is 5, then NP is 5.

Answer:

E. 5 cm.

Step-by-step explanation:

As the 2 figures are congruent then corresponding sides are congruent.

NP corresponds to UT = 5 cm.

So NP is  5cm long.

(If we rotate  Figure 2 through 180 degrees anticlockwise we see that it fits exactly on to figure 1.)

The percentage of the business that is owned by the five other partners is 87.5%.

Amount invested by Kyle = $20000

Total investment of the partners = $160000

The percentage of the business that is owned by the five other partners will be:

= ($160000 - $20000) / $160000 × 100

= $140000/$160000 × 100

= 87.5%

Therefore, the other partners have 87.5% of the investment.

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Answer:

7,045 and 6,123. The sum is 13,168

Answer:

The numbers 7654 and 5463 meets the given conditions.      

Step-by-step explanation:

We are given the following information in the question:

We have to create two four digits number from the digits between 0 and 7 such that there sum is greater than 9999.

Let x and y be the four digits number, then x and y must satisfy the equation:

[tex]x + y > 9999[/tex]

We choose the number 7654 and 5463. These are randomly fenerated from digits between 0 and 7.

Adding the two numbers:

[tex]x + y = 7654 + 5463 = 13117 > 9999[/tex]

Hence, the numbers 7654 and 5463 meets the given conditions.

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

[tex]35M = 1015[/tex]

where [tex]M[/tex] is the number of months that Rachel has saved up money.

Dividing both sides by 35, we get the answer:

[tex]M = 29[/tex]

Answer:

9.67 x 10^4

Step-by-step explanation:

5.8 x 10^6 / 60

= 96700 minutes

= 9.67 x 10^4 minutes

Answer:

9.67 x 10^4

Step-by-step explanation:

Answer:

ten thousands/thousands/hundreds/tens/ones

          7          /         0      /        0     /    0 /   0

Explanation:

10 x 7,000 = 70, 000

Answer:

70000

Step-by-step explanation:

According to the Zero-Product Rule, multiply 7 by 1000 to get 7000, then attach that extra 0 to the answer, giving you 70000.

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Answer:

Step-by-step explanation:

-17 - 3(2x + 13) +24

-17 - 6x - 39 +24

-17 - 6x - 15

-6x - 32

Answer:

f(x) = x² - 12x + 36 = (x - 6)²

The correct answer is A.

The quadratic function that has only one \(x\)-intercept is A. [tex]\( f(x) = x^2 - 12x + 36 \)[/tex]

A quadratic function has only one [tex]\(x\)[/tex]-intercept if it touches the [tex]\(x\)[/tex]-axis at exactly one point, which happens when the discriminant [tex](\(\Delta\))[/tex] of the quadratic equation is zero. The discriminant of a quadratic function [tex]\(ax^2 + bx + c = 0\)[/tex] is given by:

[tex]\[ \Delta = b^2 - 4ac \][/tex]

Let's calculate the discriminant for each given function to determine which one has only one [tex]\(x\)[/tex]-intercept.

Option A: [tex]\( f(x) = x^2 - 12x + 36 \)[/tex]

[tex]\[ a = 1, \, b = -12, \, c = 36 \][/tex]

[tex]\[ \Delta = (-12)^2 - 4 \cdot 1 \cdot 36 \][/tex]

[tex]\[ \Delta = 144 - 144 \][/tex]

[tex]\[ \Delta = 0 \][/tex]

Option B: [tex]\( f(x) = x^2 - 13x + 36 \)[/tex]

[tex]\[ a = 1, \, b = -13, \, c = 36 \][/tex]

[tex]\[ \Delta = (-13)^2 - 4 \cdot 1 \cdot 36 \][/tex]

[tex]\[ \Delta = 169 - 144 \][/tex]

[tex]\[ \Delta = 25 \][/tex]

Option C: [tex]\( f(x) = x^2 + 13x + 36 \)[/tex]

[tex]\[ a = 1, \, b = 13, \, c = 36 \][/tex]

[tex]\[ \Delta = 13^2 - 4 \cdot 1 \cdot 36 \][/tex]

[tex]\[ \Delta = 169 - 144 \][/tex]

[tex]\[ \Delta = 25 \][/tex]

Option D: [tex]\( f(x) = x^2 + 20x + 36 \)[/tex]

[tex]\[ a = 1, \, b = 20, \, c = 36 \][/tex]

[tex]\[ \Delta = 20^2 - 4 \cdot 1 \cdot 36 \][/tex]

[tex]\[ \Delta = 400 - 144 \][/tex]

[tex]\[ \Delta = 256 \][/tex]

Only option A has a discriminant of 0, which means it has exactly one \(x\)-intercept.

Answer:

y = -2 2/5

Step-by-step explanation:

-3(y+3)=2y+3

-3y - 9 = 2y + 3

-3y - 2y = 3 + 9

    -5y   = 12

        y = 12/-5  = -12/5 = - 2 2/5

-3(y+3)=2y+3

Mutiply the bracket by -3

(-3)(y)= -3y

(-3)(3)= -9

-3y-9= 2y+3

Move -9 to the other side

Sign changes from -9 to +9

-3y-9+9= 2y+3+9

-3y= 2y+3+9

-3y= 2y+12

Move 2y to the other side

Sign changes from +2y to -2y

-3y-2y= 2y-2y+12

-3y-2y=12

-5y= 12

Divide both sides by -5

-5y/-5= 12/-5

Answer:

y= -12/5 or y=- 2 2/5

Answer:

RIght

Step-by-step explanation:

RIght is an equal angle so, therefore it would be right

The angle in the standard position is the graph given below.

We have,

An angle in standard position refers to an angle that is formed by the initial side and terminal side in the Cartesian coordinate system.

The initial side is the positive x-axis, and the terminal side is a ray that starts from the origin (0, 0) and extends in a specific direction.

Now,

The graph given below starts from the origin (0, 0).

The initial side is in the positive x-axis.

The terminal is a ray parallel to the positive x-axis.

Thus,

The angle in the standard position is the graph given below.

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Answer:

x<38.836

Step-by-step explanation:

13.48x - 200<256.12

÷4=>3.37x-50<64.03

3.37x<114.03

x<114.03/3.37

x<38.836

Answer:

what??

Step-by-step explanation:

Answer:

b = 136°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

b is the exterior angle of the triangle, thus

b = 68° + 68° = 136°

Answer:

25π

Step-by-step explanation:

A = πr²

B

π[5]² = 25π

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Step-by-step explanation: To find the area of the circle shown here, start with the formula for the area of a circle which is as followed.

Area = [tex]\pi r^{2}[/tex]

Answer:

164

Step-by-step explanation:

To find the car's miles per gallon, divide the total miles traveled by the total gallons of gas used. In this case, the car got approximately 28.73 miles per gallon.

To find the miles per gallon the car got, you need to divide the total miles traveled by the total gallons of gas used. In this case, the car traveled 26,109 - 25,678 = 431 miles and used 15 gallons of gas. Using the formula MPG = Miles / Gallons, we get MPG = 431 / 15 = 28.73 miles per gallon. Therefore, the car got approximately 28.73 miles per gallon.

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Answer:

the answer would be 2.3

Answer:

2.3

Step-by-step explanation:

when you are multiplying by a decimal, you move the decimal point in 23 (Yes, there is a decimal point in 23, since it is technically 23.000000000 and some more zeros) one space to the left. The answer is 2.3!

Answer:

1839.77

Step-by-step explanation:

Answer:

f=3/2

Step-by-step explanation:

33+12f=51

1) subtract 33 on both sides:

12f=18

2) Divide both sides by 12:

f=18/12

3) Simplify the fraction:

f=3/2

[tex]\text{Hello there!}\\\\\text{We know that Murphy makes \$85,420}\\\\\text{However, we need to find how much he needs to pay in federal taxes}\\\\\text{Looking at the chart, you'll see that federal taxes is 24\%}\\\\\text{This means we have to multiply 85,420 by .24 to see how much he needs}\\\text{to pay}\\\\85420*.24=20500.8\\\\\boxed{\text{Answer: C). \$20500.8}}[/tex]

The amount paid as Federal tax by the Murphys' is  $20,500.80.

A pie chart is a kind of graph that is plotted in circular form. It is often used to present information succinctly and for easy digestion by the target audience.

In order to obtain the amount of  money that the  Murphys' pay as federal tax;

Hence;

Amount paid as federal tax = 24/100 ×  $85,420 =  $20,500.80

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Answer:

5 poster boards

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

42% of 75 is 31.5. The working is as follows :

42 ÷ 100 × 75 = 31.5

You can also use the picture ^^

Answer:

[tex]C.[/tex]  [tex]31.5[/tex]

Step-by-step explanation:

When trying to find a percent of a number, you must always do the following steps:

Multiply the number by the percent number.

[tex]42 * 75 = 3150[/tex]

Dividing you answer by 100.

[tex]3150 / 100 = 31.5[/tex]

Add percent sign.

31.5%

Answer:

A model for my number has 6 ones blocks, 2 hundreds blocks, and 3 tens blocks. The model number is 236.

Solution:

Given that the model has 6 ones blocks, 2 hundreds blocks, and 3 tens blocks. The model number can be found out by,

[tex]\bold{\begin{array}{l}{=\text { (number of hundreds block } \times 100)+(\text { number of tens block } \times 10)+} \\ {\text { (number of ones block } \times 1)}\end{array}}[/tex]

Given that number of one blocks = 6 blocks. Hence we get [tex]6 \times 1=6[/tex]

Number of ten blocks = 3.Hence we get [tex]3 \times 10 = 30[/tex]

Number of hundred blocks = 2 .Hence we get [tex]2 \times 100=200[/tex]

 So the model number = 6 + 30 + 200

 =236

Hence the model number is 236.

Answer:

$175?

Step-by-step explanation:

You know that the first hour is $50, and the second hour and the 35 minutes are $30 each, making it $60.

Add $60+$50= $110. Then add the parts cost, which is 65, and get $175

Answer:

   w = 9 or  w = 1

Step-by-step explanation:

4|w − 5| = 4

Divide both sides by 4

w - 5 = 4                         w - 5 = -4

   + 5    + 5                          + 5     + 5

     w = 9                             w = 1

The aircraft's average speed for the entire trip, both against and with the wind, is 200 miles per hour. This is calculated by dividing the total distance travelled (600 miles) by the total time taken (3 hours).

To solve this problem, we'll use the formula for average speed: Total Distance/Total Time. In this case, the aircraft flies 300 miles against the wind and 300 miles with the wind, so the total distance is 600 miles (300+300).

The total time is the time it takes to fly against the wind plus the time it takes to fly with the wind, which is 3 hours (2+1).

So, the average speed for the entire trip is 600 miles/3 hours = 200 miles per hour.

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