a. A number is doubled and then increased by 2, the result is equal to 14 more than
5 times the number. What is the number?

Answer:

Step-by-step explanation:

B is the best answer

Answer:

given,

final interest = Prt

p = 7500

r = 15%

t= 8 yrs

Fi= 7500 x 0.15 x 8

= 1125 x 8

=9000

total savings = 9000 + 7500 = 16500

Answer:
The answer is C- Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Answer: $48 more

Step-by-step explanation: We use algebra. Let c = Carter and a = Ari. C+A = 240. A+16 = 2(C-16). 2C-32 + C-16 = 240. 3C - 48 is 240. 240+48 is 288. So, C is 96 and a is  144. 144- 96 = 48 more.

The discrete probability distribution that finds  the probability that x exceeds 5 is  0.38

Opportunity provides records approximately the likelihood that something will manifest. Meteorologists, for instance, use weather patterns to are expecting the chance of rain. In epidemiology, the probability idea is used to recognize the connection between exposures and the risk of fitness consequences.

Finding the possibility of a simple event happening is fairly straightforward: upload the changes collectively. For example, if you have a 10% chance of triumphing $10 and a 25% threat of triumphing $20 then your normal odds of prevailing something is 10% + 25% = 35%.

If there is no ambiguity within the occurrence of an occasion, then the chance of such an occasion is equal to 1. In other phrases, the chance of a sure occasion is 1. If an occasion has no probability of taking place, then its chance is zero.

We want to find the probability for x exceeding 5 means for x>5

Consider,

           P(X>5)=P(x=6)+P(X=8)

              =0.18+0.2

               =0.38

Hence, the probability is  0.38

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The amount of money she should deposit is 6131.14 dollars.

The amount she should deposit can be found as follows:

[tex]p = \frac{A}{(1+\frac{r}{n} )^{nt} }[/tex]

where

Therefore,

p = [tex]\frac{20000}{(1+\frac{0.12}{4}{} )^{40} }[/tex]

[tex]p=\frac{20000}{(1+0.03)^{40} }[/tex]

[tex]p = \frac{20000}{1.03^{40} }[/tex]

[tex]p=\frac{20000}{3.262037792}[/tex]

Hence,

p = $6,131.14

Therefore, she should deposit 6131.14 dollars.

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The area of the shaded region shown in the image is 14π unit²

An equation is an expression that shows the relationship between two or more numbers and variables.

Area of semicircle = π*diameter² / 4

The area of the shaded region is the sum of the area of the individual semi circles shown in the diagram.

Area of shaded region = area of SR + area of QR + area of PQ

Area of shaded region = (1/2) * π(4²/4) +  (1/2) * π(2*4²/4) + (1/2) * π(2 * 2 * 4²/4) = 14π

The area of the shaded region shown in the image is 14π unit²

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Answer:(a) 50% (b)5%

Step-by-step explanation:

For a, it's not really difficult  because the price of a jacket is 1/2 more than jeans. So it's 50%.

For b, it's similar to no. (a) because the price of the jean is 1/2 less than a jacket. So u need to divide 250 by 500 and u will get 0.5 so if u want to put in % u need to multiply with 10, so u will get 5%.

The total number of integral solutions of x + y + z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and z ≥ 3 is; 59 integer solutions

We are given the condition that;

−3 ≤ x ≤ 4

Thus, we will use x values of -3, -2, -1, 0, 1, 2, 3, 4

When;

x = -3 and y = 2, in x + y + z = 12, solving for z gives z = 13

x = -3 and y = 3,  in x + y + z = 12, solving for z gives z = 12

x = -3 and y = 4,  in x + y + z = 12, solving for z gives z =11

x = -3 and y = 5,  in x + y + z = 12, solving for z gives z = 10

x = -3 and y = 6,  in x + y + z = 12, solving for z gives z = 9

x = -3 and y = 7,  in x + y + z = 12, solving for z gives z = 8

x = -3 and y = 8,  in x + y + z = 12, solving for z gives z = 7

x = -3 and y = 9,  in x + y + z = 12, solving for z gives z = 6

x = -3 and y = 10,  in x + y + z = 12, solving for z gives z = 5

x = -3 and y = 11,  in x + y + z = 12, solving for z gives z = 4

Thus, there are 10 solutions with x =-3

Repeating the above with x = -2, we will have 10 solutions

Similarly, with x = -1, we will have 9 more solutions

Similarly, with x = 0, we will have 8 more solutions.

Similarly, with x = 1, we will have 7 more solutions.

Similarly with x = 2, we will have 6 more solutions.

Similarly with x = 3, we will have 5 more solutions.

Similarly with x = 4, we will have 4 more solutions.

Thus,

Total number of solutions = 4 + 5 + 6 + 7 + 8 + 9 + 10 + 10

= 59 integer solutions

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Answer: 15 ways

Step-by-step explanation: 5+4+3+2 + 1 = 15

Answer:

15.

Step-by-step explanation:

That would be the number of combinations of 2 from 6.

6C2

= 6! /4!2!

=  6*5/2*1

= 15.

Answer:

See Below.

Explanation:

Quadratic Form:

[tex]a {x}^{2} + bx + c[/tex]

Quadratic Formula:

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

Based on the information given from the question, we can deduce:

a = 1

b = 6

c = -5

Now we can substitute all these values into the formula to find x.

[tex]x = \frac{ - 6 + - \sqrt{ {6}^{2} - 4(1)( - 5)} }{2(1)} \\ = - 3 + \sqrt{14} \: or \: - 3 - \sqrt{14} [/tex]

Answer:

3.049

Step-by-step explanation:

Move the decimal place in 304.9% to the left two places in order to convert from a percentage to a decimal. 3.049 is the answer.

Brainliest, please :) Hope this helps!

Answer: H

Step-by-step explanation:

[tex]9(-3)=-27[/tex], which is an integer.

Answer: x = 4

Step-by-step explanation:

Given equation

4x - 20 = -x

Add x on both sides

4x - 20 + x = -x + x

5x - 20 = 0

Add 20 on both sides

5x - 20 + 20 = 0 + 20

5x = 20

Divide 5 on both sides

5x / 5 = 20 / 5

[tex]\Large\boxed{x=4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer: C

Step-by-step explanation:

The length of the railing needed is 31.4 feet

From the question, we are to determine the length of railing needed

To determine the length of railing needed, we will determine the length of the arc formed by the balcony

Using the formula,

l = θ/360° × 2πr

Where l is the length of the arc

θ is the angle subtended by the arc

and r is the radius

From the given information,

θ = 45°

r = 40 feet

Putting the parameters into the equation, we get

l = 45°/360° × 2 × 3.14 × 40

l = 1/8 × 2 × 3.14 × 40

l = 2 × 3.14 × 5

l = 31.4 feet

Hence, the length of the railing needed is 31.4 feet

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Answer:

The question does not make a lot of sense to me but I think this is how its supposed to be done

so there are 15 shirts

2 are sold at 3.90, 2 x 3.90 = 7.8

15-2= 13 t shirts

13 sold at 4.70, 13 x 4.70 = 61.1

amount of money made is = 7.8 + 61.1

                                            = 68.9

Answer:

15

Step-by-step explanation:

12 / 2 = 6

5 / 2 = 2.5

6 x 2.5 = 15

15 inches²

The unknown angles are as follows;

x = 180 degrees

r = 90 degrees.

The angle subtended by an arc of a circle at its centre is twice the angle it subtends anywhere on the circle's circumference.

Therefore,

x = 2(90)

x = 180

Therefore, the sum of angle in a circle is 360 degrees.

Hence, the 2 angles of the arc are the same.

Therefore,

360 - 180 = 2r

2r = 180

divide both sides by 2

2r / 2 = 180 / 2

r = 90 degrees.

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Answer:

[tex]y=-\dfrac{1}{3}x+4[/tex]

Step-by-step explanation:

Slope of line with given x and y intercepts

The x-intercept is when y = 0.  
Therefore, if the x-intercept is 5 ⇒ (5, 0).

The y-intercept is when x = 0.  
Therefore, the y-intercept is -15 ⇒ (0, -15).

Inputting these two points into the slope formula to find the slope of this line:

[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{-15-0}{0-5}=3[/tex]

Slope of function f(x)

If the function f(x) is perpendicular to the above line, then the slope of function f(x) is the negative reciprocal of the slope of the line.

[tex]\implies \sf slope\:of\:f(x)=-\dfrac{1}{3}[/tex]

Equation of f(x) in point-slope form

Use the found slope and the point (-6, 6) with the point-slope form of a linear equation to find the equation of function f(x):

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-6=-\dfrac{1}{3}(x-(-6))[/tex]

[tex]\implies y-6=-\dfrac{1}{3}(x+6)[/tex]

Expand and rearrange so that the equation is in the slope-intercept form of y=mx+b:

[tex]\implies y-6=-\dfrac{1}{3}x-2[/tex]

[tex]\implies y=-\dfrac{1}{3}x+4[/tex]

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Answer:

B. 20x⁹

Step-by-step explanation:

A monomial is a polynomial with just one term.

Example: 3x²

A. 11x - 9

INCORRECT, this has two terms 11x and 9

B. 20x⁹

CORRECT, this only has one term!

C. 20x⁹ - 7x

INCORRECT, this has two terms 20x⁹ and 7x

D.9/x

INCORRECT, this is not a polynomial

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Step-by-step explanation:

x^2 +4x +4 -7 is

y=x^2+4x-3

Answer: g(x)=(x+2)²-4.

Step-by-step explanation:

g(x)=f(x)+3

g(x)=(x+2)²-7+3

g(x)=(x+2)²-4.

Answer:

A. 175 m

B. 20 cm

Step-by-step explanation:

[tex]\frac{1 cm}{25 m} =\frac{7 cm}{x m}[/tex]

x = 175 m

[tex]\frac{25 m}{1 cm} = \frac{500 m}{x cm}[/tex]

x = 20 cm

Answer:

No1. 175 m

no2. 20 cm

The piecewise equation for the function shown in the diagram is [tex]f(x)=\left \{ {{{[\frac{9}{10}x+5.9\ \ \ -6 \leq x\leq -1 } \atop {[2\ \ \ \ \ \ \ \ \ \ \ -1 < x\leq 2}} \atop {[-\frac{5}{2}x+6\ \ \ 2 < x\leq 6 }} \right.[/tex]

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

From the diagram using the point (-6, 0.5) and (-1, 5):

y - 0.5 = [(5 - 0.5)/(-1 - (-6))](x - (-6))

y = (9/10)x + 5.9

Also, using the point (2, 1) and (4, -4):

y - 1 = [(-4 - 1)/(4 - 2)](x - 2)

y = -(5/2)x + 6

The piecewise equation for the function shown in the diagram is [tex]f(x)=\left \{ {{{[\frac{9}{10}x+5.9\ \ \ -6 \leq x\leq -1 } \atop {[2\ \ \ \ \ \ \ \ \ \ \ -1 < x\leq 2}} \atop {[-\frac{5}{2}x+6\ \ \ 2 < x\leq 6 }} \right.[/tex]

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Answer:

Rs.11,111.11 (2 d.p.)

Step-by-step explanation:

The original price of the mobile is 100% of the price.

Therefore, the price of the mobile after a discount of 10% is 90% of the original price.

Let x be the original price.

If the price of the mobile after the discount is Rs.10000 then:

⇒ 90% of x = Rs.10000

⇒ 0.9x = 10000

⇒ x = 10000 ÷ 0.9

⇒ x = 11111.11  (2 d.p.)

M.P. =Rs 11111.1111

Answer:

Solution Given:

Selling price (S.P.) = Rs 10,000.

Discount =10%

Marked Price (M.P.)=?

we have

M.P. = S.P. + discount% of M.P.

keeping M.P. on same side

M.P. - discount% of M.P=S.P.

substituting value

M.P. - 10% of M.P.= Rs 10,000

taking common M.P.

M.P.(1-10%)=Rs. 10,000

we know that %=1/100

M.P.(1-10/100)=Rs 10,000

(9/10)M.P.= Rs 10,000

M.P.= Rs 10,000*10/9

M.P.=Rs11111.1111

Answer:

1.2 meters long

Step-by-step explanation:

3(4/5)m=3.8m

5m-3.8m=1.2m

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's consider the shape given to us:

 ⇒ a rectangle with two semicircles cutout on the edges

     ⇒ perimeter/circumference of the two semicircles can count as one

         circle

Let's solve:

               [tex]\hookrightarrow \text{Total circumference} =\frac{1}{2} *\pi *\text{ diameter} +\frac{1}{2} *\pi * \text{diameter}\\= \pi *\text{diameter}=10\pi =10 * 3.14 = 31.4[/tex]

Answer: 59.4 square units

Hope that helps!

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Answer:

8 and -8.

Step-by-step explanation:

Absolute value is the magnitude of quantity, irrespective of sign; the distance of a quantity from zero. The absolute value of a number is symbolized by two vertical lines, as |8| or |-8| is equal to 8.

The absolute value of number a:

|a| = 8 ⇔ a = 8 or a = -8

The piecewise function graphed below is given as follows:

A piecewise function is a function that has different definitions, depending on the input.

For x between -4 and -2, inclusive, the function is constant at 3, hence the definition is:

[tex]f(x) = 3, -4 \leq x \leq -2[/tex]

For x greater than -2 until 3, the function is a line with slope 1 and y-intercept 2, hence the definiton is:

[tex]f(x) = x + 2, -2 < x \leq 3[/tex]

For x greater than 3 until 5, the function is constant at -1, hence the definition is:

[tex]f(x) = -1, 3 < x \leq 5[/tex]

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