If no digit can be used more than once, find how many numbers that can be formed from the digits 3, 4, 5, 6, 7, 8 are greater than 7000.​

Answer: The solution of x is 2.5

Step-by-step explanation: hope it helps:)

Answer: [tex]x=\frac{5}{2}[/tex]  

Step-by-step explanation:

Simplify the expression:

[tex]-2x+14+10x=34[/tex]

[tex]\left(-2x+10x\right)+14=34[/tex]

[tex]8x+14=34[/tex]

Group all constants on the right side of the equation:

[tex]8x+14-14=34-14[/tex]

[tex]8x=34-14[/tex]

[tex]8x=20[/tex]

Isolate the x:

[tex]\frac{8x}{8}=\frac{20}{8}[/tex]

[tex]x=\frac{20}{8}[/tex]

[tex]x=\frac{5\cdot 4}{2\cdot 4}[/tex]

[tex]x=\frac{5}{2}[/tex]

The [tex]CORRECT[/tex]answer to this solution is: [tex]x=\frac{5}{2}[/tex]

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Answer:

Step-by-step explanation:

breanna's oranges were $1.25

jonathon's oranges were $1.33

The missing dimension of the base is 3 meters

The given parameters are:

Let the missing dimension of the base be w.

So, we have:

V = lwh/3

This gives

22 = 2 * w * 11/3

Multiply both sides by 3

66 = 2 * w * 11

Divide both sides by 22

w = 3

Hence, the missing dimension of the base is 3 meters

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Answer:

66 hours

Step-by-step explanation:

Monday through Friday is 45 hours

and Saturday and Sunday is 21 hours

Answer:

50, 25

Step-by-step explanation:

The general pattern expressed by the sequence 800, 400, 200, 100 seems to be the previous number divided by 2. Therefore the next two numbers in this number pattern are most likely 100 / 2 = 50 and 50 / 2 = 25.

Answer:

50 and 25

Step-by-step explanation:

x / 2 is the constant

next number

100/2 = 50

next number

50/2 = 25

Answer:

110

Step-by-step explanation:

The angle with given measure 110 and the angle that is represented with letter d are alternate angle and the measure of alternate angles is equal to each other

so the measure of d = 110

4/5 × 2/3

= (4×2)/(5×3)

=8/15

Answer:

B)  35.4 ft²

Step-by-step explanation:

Area of a sector

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{110^{\circ}}{360^{\circ}}\right) \cdot3.14 \cdot 6^2\\\\& =\left(\dfrac{11}{36}}\right) \cdot3.14 \cdot 36\\\\& =34.54\\\\ & = 35.4\: \sf ft^2 \: (nearest\:tenth)\end{aligned}[/tex]

Hi Student!

Looking at the problem, we first need to determine the important information that is given to us.  We can see that we are given a radius of 6 feet and a central angle of 110 degrees.  We will need to use both of these given values in our problem.

The second step that we need to take, after gathering our information, is to convert our degrees to radians.  The purpose of this is because in our formula we must use radians instead of degrees.  To convert degrees to radians, we multiply it by π/180.

[tex]110\ degrees\ *\ \frac{3.14}{180\ degrees}[/tex]

[tex]1.919[/tex]

Now that we have our angle converted to radians, we can plug our information into the formula and solve.

[tex]Sector\ Area = r^2\ *\ \frac{angle}{2}[/tex]

[tex]Sector\ Area = (6\ ft)^2\ *\ \frac{1.919}{2}[/tex]

[tex]Sector\ Area = 36\ ft^2\ *\ 0.9595[/tex]

[tex]Sector\ Area = 34.542\ ft^2[/tex]

Therefore, after solving the entire equation down to the end, we can see that our answer is 34.542 feet squared.  This matches option B which would be our answer.

Answer:

Below in bold.

Step-by-step explanation:

109, 94, 87, 103, 89, 112, 98, 115, 99

First arrange them in ascending order.

87 89 94 98 99 103 109 112 115

The median is the middle value:

= 99.

The lower quartile

= (89+94) / 2

= 183/2

= 91.5.

Answer:

-x^2-4x+2

Step-by-step explanation:

(-2,6) (0,2) (2,-4)

Answer:

1 yard = 3 feet

We will need to multiply the yard lengths by 3 to convert the measurements to feet.

8 feet x 3 = 24 yards  >>>> 8 ft = 24 yards

6 feet x 3 = 18 yards  >>>> 6 ft = 18 yards

5 feet x 3 = 15 yards  >>>> 5 ft = 15 yards

Then you would do Length x width x depth x 7.5 (Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the pool, expressed in gallons.)

So...

24 x 18 x 15 x 7.5 =

48, 600

I hope this helps and this helps and I hope this is the answer you needed.

The total wages of Steve will be equal to W=$560 worked for 56 hours.

The amount of money charged by a worker for working for a particular company on an hourly or day basis is called the wages.

Here the time of the worker is given as . he worked 40 hours at a regular rate, 8 hours at a time and a half and 8 hours at double time and the earning per hour is $10.

The total time will be:-

40+8+(1÷2)x8x2=56

Now the total earnings will be given as:-

T=10x56=$560

Hence the total wages of Steve will be equal  W=$560 worked for 56 hours.

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Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.

It is defined as the tax rate applied on the solely earned money by a single entity.

Julia paid to social security as a payroll tax = 6.2% of 2000

= (6.2×2000)/100

= $124

Julia paid to Medicare as a payroll tax = 1.45% of 2000

= (1.45×2000)/100

= $29

Julia paid a percent of her income to the federal government as an income tax:

= (260/2000)×100

= 13%

Julia paid a percent of her income to state government as an income tax:

= (120/2000)×100

= 6%

Thus, Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.

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Answer:

13

Step-by-step explanation:

11 * 12 * 19 * 20 * 13 = 75

75/5 = 15

Answer:

13

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let x be the fifth number , then

[tex]\frac{11+12+19+20+x}{5}[/tex] = 15

[tex]\frac{62+x}{5}[/tex] = 15 ( multiply both sides by 5 to clear the fraction )

62 + x = 75 ( subtract 62 from both sides )

x = 13

Answer:

you didnt put anything

Step-by-step explanation:

Answer: 60%, or D. hope this helps!

Step-by-step explanation:

Add all Blue - 30 + 20 = 50  so since theres 30 with no nuts its 30/50, divide them and you get 0.60, and as a percentage that is 60%

Answer:

D. 60%

Step-by-step explanation:

50 total blue candies (20 + 30)

30 of them contain no nuts according to the table, which means that is 30/50. This reduces to 6/10 or 0.6. As a percentage that is 60%

Answers:

P(A) = 1/6

P(B) = 5/6

=========================================================

Explanation:

Let's calculate P(A).

Refer to the dice chart below.

We have

There are 3+2+1 = 6 sums that are greater than 9.

This is out of 6*6 = 36 sums total

P(A) = 6/36 = (1*6)/(6*6) = 1/6

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

Now to calculate P(B).

The multiples of 6 in the table are: 6, 12

There are 1+5 = 6 items that are a multiple of 6. This means we have 36-6 = 30 sums that aren't a multiple of 6

P(B) = 30/36 = (5*6)/(6*6) = 5/6

Side note: it's probably coincidence that P(A)+P(B) = 1 in this case.

Answer:

b=6.5

Step-by-step explanation:

a²+b²=c²

7.4²+b²=3.6²

b²=3.6²-7.4²

b²=12.96-54.76

b²= -41.8

√b²=√-41.8

b=6.465

b=6.5

Answer:

Graph B

Step-by-step explanation:

Remember that for a function to have an inverse, the function must be 1-to-1. The two functions must also be symmetrical about the line y=x, which is apparent in the second graph.

Reason:

Distance = rate*time

time = distance/rate

time = (38 miles)/(2 mph)

time = 38/2 hours

time = 19 hours

The types of mortgages and their descriptions are:

There are various types of mortgages to take care of the people of different economic situations.

For instance, government insured mortgages help reduce mortgage rates but require a down payment of 20% of the mortgage and fixed rate mortgages allow for the same payment for the mortgage's life.

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A function assigns the values. The value of f(z)=8z³-5z² +9z+9 will be 929.

A function assigns the value of each element of one set to the other specific element of another set.

The value of f(z)=8z³-5z² +9z+9, when the value of z is 5 will be,

f(z)=8z³-5z² +9z+9

f(5)=8(5)³-5(5)² +9(5)+9

f(5)= (8×125) - (5×25) + (9×5) + 9

f(5) = 1,000 - 125 + 45 + 9

f(5) = 929

Hence, the value of f(z)=8z³-5z² +9z+9 will be 929.

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Make the FG perpendicular bisector. Then draw the square using the perpendicular bisector's points of intersection with the circle, as well as points F and G is the correct procedure. Option C is correct.

The procedure is as follows:

1. A circle's diameter is drawn.

2. Using the approach given in the perpendicular bisector of a segment, draw a perpendicular bisector of the diameter. This is also the circle's diameter.

3. The vertices of the inscribed square are the four points on the circle that result.

The summary describes the basic process for constructing a square inscribed in the circle is to create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.

Hence,option C is correct.

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Answer: C

Step-by-step explanation:

C.

Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.

Answer:

Cited by 3 — —1.4 p F, ~ +~~• 3*,7 38 4.0 7 h m 0 16 44.20 17 25.10 —0.7 3326~7 ... O—1.2 —1.4 F ~ ,F~ ~ 7.8 38 26.6 m ~ .8 ~5 2~5 44;65 26 2.95 h -4

Step-by-step explanation:i know

Answer:

(2.42,-7.4) and (-1.58, 5.9)

Explanation:

Solve algebraically:

⇒ f(x) = g(x)

⇒ 2x² – 5x– 7 = -4x² + 16

⇒ 2x² - 5x - 7 + 4x² - 16 = 0

⇒ 6x² -5x -23 = 0

Identify : a = 6, b = -5, c = -23

[tex]\rightarrow \sf x = \dfrac{-(-5)\pm\sqrt{(-5)^2 - 4(6)(-2)} }{2(6)} \ = \ \dfrac{5\pm\sqrt{577} }{12} \ = \ 2.42, -1.58[/tex]

Solve for y : 2(2.42)² - 5(2.42) -7  and  2(-1.58)² - 5(-1.58) - 7  = -7.4, 5.9

Coordinates: (2.42,-7.4) and (-1.58, 5.9)

Answer:

p(a tail on the second toss) = 4/8

p(exactly one head) = 3/8

p(a head on each of the last two tosses) = 2/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

As per the given data, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal.

To reflect the parallelogram CDEF across the line y=2, we need to reflect each vertex across the line.

The line y=2 acts as a mirror, so the distance of each point to the line will remain the same before and after reflection, but the sign of the y-coordinate will change.

The reflection of point (x, y) across the line y=2 can be found by the formula (x, 2 - (y-2)) or (x, 4 - y).

Using this formula, we can find the coordinates of the reflected parallelogram:

- The reflected image of point C(-4,-4) is (-4, 8).

- The reflected image of point D(-2, 0) is (-2, 4).

- The reflected image of point E(6, 1) is (6, 3).

- The reflected image of point F(4, -3) is (4, 7).

Therefore, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).

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