For what value of p will the pair of linear equations have infinitely many solutions (p-3)x + 3y = p , px+ py = 12

Answer:

Its Option C

Step-by-step explanation:

The difference is 180 - 135 = $45

So  it is 45 * 100 / 135  

= 33.33% greater

Answer: Its Option C

Step-by-step explanation:

Answer:

rearrange all of the terms

Step-by-step explanation:

The first step is to arrange the TERMS correcty

Solution:

Considering  room to be in the shape of Cuboid as well as the Bed to be in the shape of Cuboid.

Dimensions of Room

Let Length of cuboid which is in the shape of room = L

Breadth of cuboid which is in the shape of  room = B

Height of cuboid which is in the shape of room = H

Considering, L>B>H

Dimension of Bed

Length=[tex]\frac{L}{6}[/tex] units

Breadth=[tex]\frac{B}{4}[/tex] units

Height=[tex]\frac{H}{6}[/tex] units

Taking one corner at origin i.e (0,0,0)

You can keep your bed at any place inside the room, but you want your bed to be at that place inside the room where the window is located so that proper ventilation and sunlight can enter your room.

Taking bed to be in the middle of room near the window and considering it's upper face

Distance from one corner i.e from length= B- [tex]\frac{B}{4}[/tex]=[tex]\frac{3B}{4}[/tex] Units

Distance from other corner=  0 Units

Distance from Breadth of one side of wall= [tex]\frac{L}{3}[/tex] units

Distance from one corner i.e from Breadth =L - [tex]\frac{L}{3}[/tex]-[tex]\frac{L}{6}[/tex]= [tex]\frac{L}{2}[/tex]

Distance from floor i.e surface=[tex]\frac{H}{6}[/tex] units

Distance from Ceiling= H -[tex]\frac{H}{6}[/tex] = [tex]\frac{5 H}{6}[/tex] units

To find the distance each bed edge should be from the corner in a scale drawing, determine the scale used (such as 1 inch = 6 feet), convert actual bed dimensions using the scale, and ensure measurements on the drawing are precise and noted with the correct line types.

To determine how far each edge of the bed should be from its own corner of the wall in a scale drawing, first establish the scale being used for the model. For example, if the scale is 1 inch = 6 feet, convert the actual dimensions of the bed into the scale size by using ratios that compare the scale distance to the actual distance. If the actual bed is 6 feet long, then the length on the scale model would be 1 inch. When recording measurements, both the actual size and the scale size should be clearly marked to prevent confusion. It is important to use correct line types and to make all the drawings to exact measurements within the constraints of the paper size.

For consistent and accurate representation, the edges of the bed should be measured from the corner of the walls based on the determined scale. This involves calculating the distance of the bed from the wall in actual size, then converting that distance to the scale model size. Pay attention to significant figures and the choice of units (inches, feet, centimeters, meters) to maintain precision in your scale drawing.

Answer:

C. 12  

Step-by-step explanation:    

We have been given a scatter plot and trend line equation for the length of name plates (y) in inches for number of letters (x).

The given equation is: [tex]y=1.75x+0.5[/tex]

To find number of letters in a number plate that is 22 inches long we will substitute y=22 in our given equation.

[tex]22=1.75x+0.5[/tex]

[tex]22-0.5=1.75x+0.5-0.5[/tex]

[tex]21.5=1.75x[/tex]

[tex]x=\frac{21.5}{1.75}[/tex]

[tex]x=12.2857142857142857\approx 12[/tex]    

Therefore, the company can have 12 letters on 22 inches long name plate and option C is the correct choice.

Answer:

C.  12

Step-by-step explanation:

Answer:

17.4076456756

Step-by-step explanation:

Answer:

see below  please give brainliest

Step-by-step explanation:

X times cost = Y

If he doesn't sell any books than he doesn't make any money.  Each time he sells a book his pay will go up the cost of the book.

We have two triangles with base 9ft and height 12.3ft and two triangles with base 11ft and height 11.9ft.

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{1}{2}bh[/tex]

Triangle #1:

b = 9ft and h = 12.3ft. Substitute:

[tex]A_1=\dfrac{1}{2}(9)(12.3)=55.35ft^2[/tex]

Triangle #2:

b = 11ft and h = 11.9ft. Substitute:

[tex]A_2=\dfrac{1}{2}(11)(11.9)=65.45ft^2[/tex]

The Lateral Area:

[tex]L.A.=2A_1+2_A2\\\\L.A.=2(55.35)+2(65.45)=241.6\ ft^2[/tex]

Answer: B

Step-by-step explanation:

The point here, on calculating the Lateral Area of a Pyramid is searching for Congruent Triangles. In a rectangular pyramid, we have four triangles, in the Lateral Area.

The basic formula for calculating the Area of any triangle is:

Δ[tex]=\frac{1}{2}*base*height[/tex]

So, let's plug it in the values for the 1st triangle:

Δ[tex]\frac{1}{2}* 11*11.9[/tex]

Δarea=[tex]65.45 ft^{2}[/tex]

For the second triangle (on the left):

Δ=[tex]\frac{1}{2}*9*12.3=\\ 55.35 ft²[/tex]

The base is a rectangle, this assures us the base of the other faces is also 9 ft and 11 ft.

So we can assume the other Triangle are congruent to Triangle 1 and 2.

The Lateral Area is the sum of all Pyramid's Triangles area:

55.35+55.35+65.45+65.45=241.6 ft²

Answer:

B

Step-by-step explanation:

linear is a straight line

Answer:

n = -9

Step-by-step explanation:

4(0.5n -3) = n-0.25 (12 - 8n)

First use the Distributive Law to expand the parentheses:-

2n - 12 = n - 3 + 2n

2n - 12 = 3n - 3

Subtract 2n from both sides:-

-12 = n - 3

Add 3 to both sides:-

-9 = n

Answer:

i dont understand but this is what i got from it

I think it b because p and q haves 4 T and 4 F and when formated with -q and -p it makes T(times 3) F(1)

Answer:

B.  

p   q   ~q   p ∧ ~q  

T T F F

T F T T

F T F F

F F T T

Step-by-step explanation:

Answer:

The statement is true about whether A and B are independent eventa is fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

Step-by-step explanation:

Let A be the event that the person rides the bus to school, then:

P(A)=75/300

P(A)=0.25

Let B be the event that the person has 3 or more siblings, then:

P(B)=24/300

P(B)=0.25

P(A/B)=9/24

P(A/B)=0.375

Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent

Answer. Fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

Answer: D is the answer

Step-by-step explanation:

Answer:

All you have to do is subtract 1500-785 in order to find the number of minutes left for him.

1500-785=715 more minutes left

I hope this helps.

Y - 4 = 4 ( X-0)

So the main equation is

Y - y1 = m ( X - x1 )

Y1 = 6

M (slope) = 4

X1 = 0

Answer:

60

Step-by-step explanation:

We can first define the variables as hh for the number of Harry's toys on Monday and tt for the number of Teddy's toys on Monday.

We know that on Monday, Harry had 75\%75% as many toys as Teddy, so we can write the following equation:

\qquad h=0.75th=0.75t

Hint #2

When we add 3232 toys to Harry's collection, we get h+32h+32. We can also make an adjustment to Teddy's collection, as he acquired 15\%15% more. We can represent that as 1.15t1.15t, as we should add 15\%15% to 100\%100% to get a percent increase.

Now let's make an equation for Tuesday:

\qquad h+32=1.15th+32=1.15t

Hint #3

We also know that h=0.75th=0.75t from the first equation, so we can substitute that in.

\qquad 0.75t + 32 = 1.15t0.75t+32=1.15t

Let's solve by first subtracting 0.75t0.75t from both sides.

\qquad 32 = 0.4t32=0.4t

We can then divide by 0.40.4 to solve for tt, and when we do that, we find that t=80t=80.

Hint #4

Since t=80t=80, we must substitute it into another equation to find hh (the number of toys Harry had on Monday). Let's pick the first equation.

\qquad h=0.75th=0.75t

\qquad h=0.75(80) = 60h=0.75(80)=60

Hint #5

Harry had 60 toys on Monday.

Answer:

x = 75/88  miles

or

x = 0.85227 (27 repeated) miles

Step-by-step explanation:

1 mile =1760 yards

x miles = 1500 yards

x = 1500 / 1760

x = 75/88

or

x = 0.85227 (27 repeated)

Answer:

1500 yards=0.85 miles

Step-by-step explanation:

we are given

1500 yards

we have  to convert it into miles

we are also given

1 mile=1760 yards

hence

1 yard=1/1760 mile

and

1500 yards=1500/1760 miles

1500 yards=0.85 miles

To graph the linear equation y= 9.5X, plot the y-intercept at point (0,0) due to the absence of +b. From there, move 1 unit to the right and 9.5 units up and place another point and do it several more times. Connect the points to form the line.

To graph the linear equation y=9.5X, you need to understand that this is an equation of a line in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is 9.5 and the y-intercept is 0 (since there is no +b following the 9.5).

Start by marking the y-intercept, which is at point (0,0), on your graph. The slope of 9.5 means that for every 1 unit you move to the right along the x-axis, you move up 9.5 units on the y-axis. So, from the y-intercept, you'd go over 1 and up 9.5, placing a point there. Do this several more times, then connect the points to form your line.

This line represents all solutions to the equation y=9.5X, meaning any point on the line satisfies the equation.

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Final answer:

To graph y=9.5X, plot the y-intercept at (0,0), then use the slope to find another point by moving right 1 unit and up 9.5 units, plot this point, and draw a line through both points.

Explanation:

To graph the linear equation y=9.5X, you start by identifying the slope and y-intercept. In this case, the equation is already in the slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept. Since there's no plus or minus a number after 9.5X, the y-intercept is 0. The slope is 9.5, meaning for every increase of 1 unit in X, y increases by 9.5 units.

To graph this, you first plot the y-intercept at (0,0) on the vertical axis. Then, use the slope to find another point. From the y-intercept, move right 1 unit along the horizontal axis (increasing X by 1), and then move up 9.5 units on the vertical axis (increasing y by 9.5). Plot this second point. Finally, draw a straight line through both points, extending it in both directions. This line represents the equation y=9.5X.

If a point is on the graph of the exponential equation then it should be true when you solve.

g(x) = (1/5)^x

y = (1/5)^x

1/125 = (1/5)^3

cbrt(1/125) = 1/5

.2 = 1/5

.2 = .2 YES

5 = (1/5)^-1

5 = 5 YES

1/25 = (1/5)^-2

-2root(1/25) = 1/5

5 = 1/5 NO

0 = (1/5)^1

0 = .2 NO

The correct answers are A and B.

This is about understanding input and output of a graph.

Correct Points are;

Option B; (-1, 5) and Option A; (3, 1/125)

x is the input value which is on the x-axis

g(x) is the output value which is on the y-axis

This will follow a coordinate writing system of (x, y)

Let us put 3 for x in the function;

y = (1/5)³

y = 1/125

y = 1/125 corresponds to y = 1/125 and so it is correct.

Option B; (-1, 5) means that when x = -1, y = 5

Let us put -1 for x in the function;

y = (1/5)⁻¹

y = 5

y = 5 corresponds to y = 5 and so it is correct.

Let us put 3 for x in the function;

y = (1/5)⁻²

y = 25

y = 1/25 doesn't correspond to y = 25 and so it is not correct.

Let us put 1 for x in the function;

y = (1/5)¹

y = 1/5

y = 0 doesn't correspond to y = 1/5 and so it is not correct.

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Answer:

B) 2

Step-by-step explanation:

Given expression,

48 ÷ ((2 + 6) × 2) − 1

In simplification we follows the following order,

B = Bracket

O = Of

D = Division

M = Multiplication

A = Addition,

S = Subtraction,

Thus, steps of solving the given expression by following BODMAS are as follow,

[tex]\frac{48}{(2 + 6) \times 2}-1[/tex]

[tex]=\frac{48}{8\times 2}-1[/tex]

[tex]=\frac{48}{16}-1[/tex]

[tex]=3-1[/tex]

[tex]=2[/tex]

Hence, OPTION B is correct.

The value equivalent to 48 ÷ ((2 + 6) × 2) - 1 is B) 2.

To solve this problem, we need to follow the order of operations (also known as PEMDAS or BODMAS).

First, we calculate the expression inside the parentheses: 2 + 6 = 8.

Next, we multiply the result by 2: 8 × 2 = 16.

Finally, we divide 48 by the result: 48 ÷ 16 = 3.

After that, we subtract 1: 3 - 1 = 2.

Therefore, the value equivalent to 48 ÷ ((2 + 6) × 2) - 1 is 2.

Hmmm, I think it sound more like the average. So mean. I'm not 100% sure but it isn't the median or the mode.

First, by using the distance formula for just one side, we can find the length of all sides (a square has 4 equal sides.) Then, we can apply the area of a square formula, which is a^2.

Distance formula:

[tex]\sqrt{(x.2 - x.1)^{2} + (y.2 - y.1)^{2}}[/tex]

√((-2 + 5)^2 + (-8 + 4)^2)

√((3)^2 + (4)^2)

√9 + 16

√25

5

The side lengths of the square are each equal to 5, and by applying the formula for area, we can find the area of the square.

5^2 = 25

The number that divided by 70 results in a quotient of 5 with a remainder of 14 is 364. This can be calculated using the division algorithm formula 'Dividend = Divisor* Quotient + Remainder'.

The division mentioned in the question can be represented using the division algorithm formula:  Dividend = Divisor* Quotient + Remainder.

In your problem, the divisor is 70, the quotient is 5, and the remainder is 14. To find the dividend (which is the number you are trying to find), you simply substitute these values into the formula:

Dividend = 70*5 + 14

So, Dividend = 350 + 14 = 364.

Therefore, the number that when divided by 70, gives a quotient of 5 with the remainder of 14 is 364.

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Answer:

(0, - 4)

Step-by-step explanation:

What you are looking for is the y value when x = 0. So make x = 0 in the original equation.

3x - 4y = 16

3(0) - 4y = 16

- 4y = 16                 Divide by -4 on both sides.

-4y/- 4 = 16/-4        Do the division.

y = - 4

Answer:

1600 items should not be defective

Step-by-step explanation:

To determine the number of items that are not defective, we multiply the number of items we have by the probability that they are not defective.

Not defective items = items * probability

                                 = 2000 * 4/5

                                    1600

Answer:1600

Step-by-step explanation:

The liquid height in the new cylinder will be 4 cm after the volume of liquid from the original cylinder is transferred.

In the context of this problem, we are dealing with the concept of the volume of a cylinder. The volume of a cylinder is given by the formula V=πr²h, where r is the radius of the base and h is the height of the cylinder. The given volume in the problem is 36π cm³ and the radius of the second cylinder is 3 cm. We will use the volume formula to find the height.

We know that V=36π cm³ and r=3 cm. Substituting these values into the volume formula, we get 36π=π(3)²h. Simplifying the equation gives us 36π=9πh. Dividing both sides by 9π, we arrive at the solution, h=4 cm. Therefore, the height of the liquid in the new cylinder will be 4 cm.

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Answer: 47 (choice B)

x+43 = 90

x = 90 - 43

x = 47

This works because triangle PQR is a right triangle (with angle Q as the 90 degree angle). We say that that P and R are complementary angles. I added point R to be located where the angle x is written.

Answer:

47

Step-by-step explanation:

Answer:

Triangles are congruent because all the corresponding sides and interior angles are congruent.

Step-by-step explanation:

In ΔWXY  and ΔBCD

Given Sides are congruent:

[tex]WX \cong BC[/tex]  

[tex]XY \cong CD[/tex]

[tex]YW \cong DB[/tex]

Also,

Angles are congruent i,e:

[tex]\angle W \cong \angle B[/tex]

[tex]\angle X \cong \angle C[/tex]

[tex]\angle Y \cong \angle D[/tex]

By congruence statement: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then those triangles are congruent.

[tex]\triangle WXY \cong \triangle CBD[/tex]

Therefore, we can say the two triangles WXY and BCD are congruent because every corresponding side are of equal length and every corresponding angle has the same measure.

The given triangles WYX and BDC are congruent as all the sides as well as the angles are equal.

From the given figures,

[tex]WY=BD\\WX=BC\\YX=DC[/tex]

Also,

[tex]\angle{W}=\angle{B}\\\angle{Y}=\angle{D}\\\angle{X}=\angle{C}[/tex]

Hence, the triangles WYX and BDC are congruent to each other.

Learn more about congruent triangles here:

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