PLEASE HELP ME ASAP !! Manny has $12,000 and is
saving for a used car that
costs $15,000. He is able to
save $300.00 per month
toward his car. Write and
solve an inequality for this
situation if m represents the
number of months that
Manny must save to buy the car.

Answer:

9

Step-by-step explanation:

[tex] \sqrt{3 {}^{4} } =( 3 {}^{4} ) {}^{ \frac{1}{2} } = {3}^{2} = 9[/tex]

The equation of the line passing through the points (–3, 11) and (1, –3) is 7x +2y = 1. Then the correct option is B.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The line JK passes through points J(–3, 11) and K(1, –3).

We know that the equation of a line passing through two points is given as

[tex]\rm (y - y_1) = \dfrac{y_2-y_1}{x_2-x_1} (x - x_1)[/tex]

Then we have

[tex]\rm (y - 11) = \dfrac{-3-11}{1 + 3} (x + 3)\\\\\\(y - 11) = \dfrac{-14}{4} (x +3)\\\\\\(y - 11) = \dfrac{-7}{2}(x +3)\\\\\\2y - 22 \ = -7x -21\\\\\\7x + 2y \ = 1[/tex]

The equation of the line passing through the points (–3, 11) and (1, –3) is 7x +2y = 1. Then the correct option is B.

More about the linear system link is given below.

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Answer:

X=7/2 Y=1

Step-by-step explanation:

4X-Y=13

4X-13=Y

2X-3(4X-13)=4

2X-12X+39=4

-10X+39=4

-10X=4-39

-10X=-35

X=7/2(-35/10)

Y=4(7/2)-13

Y=14-13

Y=1

The solution of the two given linear equations will be equal to X=7/2 Y=1

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The solution of the linear equation is as follows:-

4X  -  Y   =    13

4X  -  13   =   Y

2X   -   3  (   4X  -  13  )   =    4

2X   -   12X   +    39   =    4

-10X   +    39  =  4

-10X  =    4  -   39

-10X    =    -35

X   =    7/2   (  -35  /   10   )

Y   =   4  (  7/2  )  -   13

Y   =  14  -  13

Y  =   1

Therefore the solution of the two given linear equations will be equal to X=7/2 Y=1

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Answer: I feel like it’s d..

Step-by-step explanation:

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(3)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(4)(3)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (2)^2}}\implies 15~~ + ~~6~~ + ~~2\pi \stackrel{using~\pi =3.14}{\implies 27.28}[/tex]

The amount of paint required by Madeline will be 0.8325 gallons

Given that

[tex]1cm=1.5ft[/tex]

We will first find the area of the wall

Area of the wall = Area of trapezoidal shape+ Area of triangular shape

Area of trapezoid = [tex]\dfrac{a+b}{2} \times h[/tex]

a= 4cm

b=14cm

h=10cm

putting this values

[tex]A=\dfrac{4+14}{2} \times 10[/tex]

[tex]A=90cm^{2}[/tex]

Area of triangular shape=  [tex]\dfrac{1}{2} \times width\times height[/tex]

width=14cm

height=8cm

putting the values

[tex]A=\dfrac{1}{2} \times 14\times 8=58cm^{2}[/tex]

[tex]Total area of the wall= 90+58=148cm^{2}[/tex]

since we have

[tex]1cm=1.5ft[/tex]

[tex]148cm^{2} = 148\times (1.5)^{2} =333 ft^{2}[/tex]

Now

[tex]1gallon = 400ft^{2}[/tex]

so for  [tex]333 ft^{2}[/tex]  amount of paint in gallons required will be

[tex]1ft^{2} =\dfrac{1}{400} gallons[/tex]

[tex]333ft^{2} =\dfrac{333}{400} gallons=0.8325gallons[/tex]

Thus the amount of paint required by Madeline will be 0.8325 gallons

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Answer:

1.The total cost is $520.47

2New Blance is $3,054.53

Answer:

B

Step-by-step explanation:

Line B best fits the data because some of the points fall on line B.

Hope this helps!

Answer:

0.5 ft

Step-by-step explanation:

Base = 8 ft and Height = 6 ft

Area of Triangle = 0.5*b*h

Area of Triangle = 0.5*8*6 = 24 sq.ft

To increase the Area by 2 sq.ft  so the New Area will be 26 sq.ft

New Area = 0.5*b*(New Height)

26=0.5*8*(New Height)

New Height = 6.5 ft

The Increase in Height = New Height - Old Height =  6.5 - 6 = 0.5 ft

The increase in the height of the triangle which has a base of 8 feet and a height of 6 feet, to increase its area by 2 square feet is 0.5 feet.

The area of a triangle is half the product of its base and its height, that is,

Area = (1/2)*base*height.

We have been asked to find the increase in the height of a triangle with base(b) = 8 feet and height(h) = 6 feet, such that its area increases by 2 square feet.

First, we find the initial area of the triangle,

Area = (1/2)*b*h (1/2)*8*6 = 24 square feet.

New area = initial area + 2 square feet = 24 + 2 = 26 square feet

Let the increase in height be x feet,

∴ New height(h1) = 6+x feet

∴ New area = (1/2)*8*(6+x),

But we know that the new area is 26 square feet, so we equate them to get:

(1/2)*8*(6+x) = 26

or, 4(6+x) = 26

or, 24 + 4x = 26

or, 4x = 26 - 24 = 2

or, x = 2/4 = 0.5

∴ The increase in the height of the triangle which has a base of 8 feet and a height of 6 feet, to increase its area by 2 square feet is 0.5 feet.

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Answer:

C D F

Step-by-step explanation:

Taking -40/2, we know our answer must be -20.

Testing each answer choice proves this.

A= 40*1/2, which is equal to 40/2, which is 20.

B= -40*-1/2, again, equaling 20.

C= 40/-2. Since one of our terms is negative, this one is -20.

D= 40*-1/2, again, -20.

E= -1/40*2. This would equal -2/40, using fraction multiplication.

F= -40*1/2, Which is the exact same thing the original question asks.

Thus, our final answer is C, D, and F.

Answer:

y= x-4

Step-by-step explanation:

slope-intercept form is y=mx+b

-2y-8=-2x   move the 8 over to the other side

-2y=-2x-8   divide whole equation by negative 2

this should give you, y=x-4

Answer:

4

Step-by-step explanation:

Answer:

vertices

Step-by-step explanation:

The corner of a shape or object is the vertices

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

Let's try to divide 1,772 and see how much math we need to do...

1,772 / 90 = 19.6888888889

Well, clearly we need more than 1,772!

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

Now, play around with adding numbers.

(I'm gonna skip all the experimenting, here's the closest # available for easy division!)

⇣

1,800 / 90 = 20

1,800

hope this helps

Answer:

132cm2

Step-by-step explanation:

1. Split the figure into a trapezoid and a rectangle.

2. Find the area of the trapezoid, which is 104cm2.

3. Find the area of the rectangle, which is 28cm2.

4. Add the areas to get 132cm2.

Answer:

C

Step-by-step explanation:

x² - 12x + 36 = 49

(x - 6)² = 49

now taking the square root

x - 6 = 7

x = 13

the second solution is (remember, sqrt(a²) = ±a)

-(x - 6) = 7

-x + 6 = 7

-x = 1

x = -1

Answer:

9=n-3

Step-by-step explanation:

The point (2,50) means that the Cost of renting a generator for 2 hours is $50..

Answer:

1) -6.4

2)71

3)15.4

Answer:

$105 per hour

Step-by-step explanation:

$648.50 - $71 = $577.50

$577.50 / 5.5 = $105 per hour

105 x 5.5 = 575.50

+ 71.00

648.50

The per hour charge of the technician is given as $15.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given problem can be solved by ratio method as follows,

The remaining cost charged by the technician is $648.50 - $71 = $577.50

Now, the per hour charge is remaining cost divided by total number of hours as given below,

577.50/5.5

= 57750/550

= 15

Hence, the cost of labor per hour is given as $15.

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Answer:

Its A :))

Step-by-step explanation:

Answer:  49.0 square meters

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

Explanation:

We'll first need to find the radius of the rug using the circumference.

C = 2*pi*r

r = C/(2pi)

r = (24.8)/(2*3.14)

r = 3.949045 which is approximate.

Now we can find the area

A = pi*r^2

A = 3.14*(3.949045)^2

A = 48.968163 this is also approximate

Rounding to the nearest tenth gets to 49.0

Step-by-step explanation:

I am not sure what you mean by "sort". that would mean to bring them into a certain sequence.

I think you mean "categorize".

the first one is arithmetic.

the added constant is -4.2

98.3 - 4.2 = 94.1

94.1 - 4.2 = 89.9

...

the second one is neither.

it looks like first to be arithmetic with the added constant of -1.

1 - 1 = 0

0 - 1 = -1

but then

-1 - 1 = -2 and not 0.

the third is geometric.

the ratio or multiplication factor is 2.

1.75 × 2 = 3.5

3.5 × 2 = 7

...

the fourth is arithmetic.

the added constant is 1.2.

-12 + 1.2 = -10.8

-10.8 + 1.2 = -9.6

...

the fifth is geometric.

the ratio of multiplication factor is -1.

-1 × -1 = 1

1 × -1 = -1

...

if you really need to sort them (change their positions in that 5 elements list), then

the 1st and 4th are arithmetic (to be put into the top 2 spots).

the 3rd and 5th are geometric (to be put into the next 2 spots).

the 2nd is neither (last spot).

Answer:

[tex]\frac{1331x-6\times \:121^x}{5\times \:121^x}[/tex]

Step-by-step explanation:

[tex]\frac{11^2x\times \:11^1-6\times \:121^x}{5\times \:121^x}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]

[tex]11^2\times \:11^1=11^{2+1}[/tex]

[tex]=\frac{11^{2+1}x-6\times \:121^x}{5\times \:121^x}[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:2+1=3[/tex]

[tex]=\frac{11^3x-6\times \:121^x}{5\times \:121^x}[/tex]

[tex]11^3=1331[/tex]

[tex]=\frac{1331x-6\times \:121^x}{5\times \:121^x}[/tex]

[RevyBreeze]

Answer:

1

Step-by-step explanation:

[tex] \dfrac{11^{2x} \times 11^1 - 6 \times 121^x}{5 \times 121^x} = [/tex]

​[tex] = \dfrac{11 \times 11^{2x} - 6 \times 11^{2x}}{5 \times 11^{2x}} [/tex]

​[tex] = \dfrac{5 \times 11^{2x}}{5 \times 11^{2x}} [/tex]

​[tex] = 1 [/tex]

Answer:

Step-by-step explanation:

The can contains 1 pound + 2 oz

1 pound = 16 oz

1 can = 16oz + 2oz

1 can = 18 oz

2/3 can = 18 oz * 2/3

2/3 can = 18 oz/1 * 2/3

Multiply the numerator * numerator divide by (denominator * denominator)

2/3 can = 36 / 3

2/3 can = 12 oz.

You could do this by cancelation, but you may not know that yet.