Write the equation of the line in fully simplified slope-intercept form.

Answer:

[tex]\frac{7}{5}[/tex] or 7:5

Step-by-step explanation:

You are going from the smaller triangle to the larger.

Let x = the scale factor.  Find two corresponding sides that you know both lengths.

50x = 70  Divide both sides by 50

x = [tex]\frac{70}{50}[/tex]  Divide both the numerator and denominator by 10

[tex]\frac{7}{5}[/tex]

Answer:

20 boxes

Step-by-step explanation:

12 cans = 1 box

240 = x

apply rule of three

(240/12) x 1 = x

20 = x

Answer:

She will need 20 boxes

Step-by-step explanation:

Take the total number of cans and divide by the number of cans per box

240/12

20

She will need 20 boxes.

Amount of computer can be 350 or more than 350.

What do you mean by inequality?

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilised to compare the numbers, whether it is less than or higher than.

Inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions.

It is given that Alex has $600 in her checking account and She wants to have at least $250 left in her checking account after buying the computer.

Let the amount of computer be t

According to the question , inequality become:

600 - t ≥ 250

600 - 250 ≥ t

350 ≥ t

Therefore, amount of computer can be 350 or more than 350.

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The number of swims that Will swims by using decimal divisions is 16 laps in each hour.

What is decimal division?

When dividing decimals, the divisor must be converted to a whole number by moving the decimal point to the right. The dividend's decimal point is then carried up to the same number of places to the right, and the resulting numbers are divided in the same manner as regular long division.

Given, Will swims a total of 45.6 laps in 2.85 hours

That is, 2.85 hours = 45.6 laps

or, 1 hour = 45.6/2.85 = 16 laps

Hence, he swims 16 laps each hour.

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Answer: $50.25

Step-by-step explanation:

     First, we will write an equation to represent this situation.

C = $2.75 + $5D

     Next, we will substitute 9.5 miles into D and solve.

C = $2.75 + $5D

C = $2.75 + $5(9.5)

C = $50.25

Answer:

(a) c = 2.75 + 5d

(b) $50.25

Step-by-step explanation:

(a)

The information tells us the following:

Cost of a taxi ride = $2.75 + (5 * number of miles travelled)

We can use the variables c and d to represent the descriptions:

c = 2.75 + 5d

(b)

Substitute 9.5 into the equation as d:

c = 2.75 + 5(9.5)

Simplify:

c = 2.75 + 47.5

c = 50.25

Therefore, the cost of a 9.5 mile ride is $50.25.

Hence, the probability that a family living in Southern Mississippi owns a cat or a dog is [tex]0.78[/tex].

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

The meaning of probability is basically the extent to which something is likely to happen.

Here given that,

For a family living in Southern Mississippi, the probability of owning a dog is [tex]0.4[/tex], the probability of owning a cat is [tex]0.5[/tex], and the probability of owning both a cat and a dog is [tex]0.12[/tex].

Probability od owing a dog is

[tex]P(A)=0.4[/tex]

Probability of owing a cat is

[tex]P(B)=0.5[/tex]

Probability pf owing both a cat and a dog is

[tex]P(A[/tex]∩[tex]B)=0.12[/tex]

As we know,

[tex]P(A[/tex]∪[tex]B)=P(A)+P(B)-P(A[/tex]∩[tex]B)[/tex]

[tex]P(A[/tex]∪[tex]B)=0.4+0.5-0.12[/tex]

[tex]P(A[/tex]∪[tex]B)=0.78[/tex]

Hence, the probability that a family living in Southern Mississippi owns a cat or a dog is [tex]0.78[/tex].

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Answer:

x=2√10,−2√10

Step-by-step explanation:

La razón que buscamos para los números de estudiantes es:

12:13

Sabemos que si de un numero N podemos separar 2 grupos, de tal forma que hay a elementos del grupo A y b elementos del grupo B, la razon de el grupo A al grupo B es a:b

En este caso sabemos que hay 25 estudiantes y hay 12 varones, entonces hay:

25 - 12 = 13 "hembras"

Entonces la razon que buscamos es:

12:13

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The equation of line where the y intercept is -3 and slope is 4/5 is

y = ( 4/5 )x - 3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the equation A is y = mx + b

The y intercept of the line b = -3

The value of b = -3

The slope of the line m = 4/5

The value of m = 4/5

Now , substituting the values in the equation of line , we get

y = mx + b

y = ( 4/5 )x + ( -3 )

y = ( 4/5 )x - 3

The graph of the equation y = ( 4/5 )x - 3 is given below

Therefore, the value of the equation of line A is y = ( 4/5 )x - 3

Hence , The equation of line where the y intercept is -3 and slope is 4/5 is

y = ( 4/5 )x - 3

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Answer:

1

Step-by-step explanation:

This equation only has 1 solution

If a prestigious program accepts 2 out of every 9 applicants per year than the program will accept 360 applicants out of 1620.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

the ratio is given:

2/9 = 360/x

solving for the value of x;

x/9=360/2

x=(180)9

x=1620

this is the required value of applicants that were not accepted.

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Step-by-step explanation:

The given mass of the Earth is 5.972 × 10²⁴

The given mass of the Jupiter is 1.898 × 10²⁷

Now,

1.898 × 10²⁷ ÷ 5.972 × 10²⁴

= 0.3178 × 10³ = 317.8

Thus, Jupiter is 317.8 heavier than Earth

Answer:

Step-by-step explanation:

3 1/4

B) 3 is the ratio of his speed and his car's fuel economy.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

[tex]\frac{speed}{fuel economy} =\frac{\frac{60 miles}{hour} }{\frac{20 miles}{gallon} } \\\frac{speed}{fuel economy}={\frac{60 miles}{hour} .{\frac{gallon}{20 miles} }\\[/tex]

[tex]\frac{speed}{fuel economy}=\frac{3 gallons}{hour}[/tex]

Inserting this 3 in the given equation 15 = 3t and including each term, we see the units cancel out:

[tex]15 gallons = \frac{3 gallons}{hour}.t(hours)[/tex]

3 is the ratio of his speed and his car's fuel economy.

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Answer: 39.23 miles per hour

Step-by-step explanation:

1 day = 24 hour

3 days = 72 hours

Add one more hour for both to get to 9 AM, so it will take 73 hours to get there.

Now we find the average rate of change.

We take 2864 divided by 73 = 39.23 miles per hour

The measures of the angles are v = 80°, y = 100°, w = 45°, and x = 55°.

An inscribed four-sided polygon in a circle is known as a cyclic quadrilateral. With the specified side lengths, it has the largest area feasible.

Given the quadrilateral inside a circle.

The angle v is given by:

45° +v + 55°=180°

v + 100° = 180°

v = 180° - 100°

v = 80°

Since the quadrilateral is cyclic, the sum of its opposite angle is 180°.

Therefore,

y + v = 180°

y + 80° = 180°

y = 100°

Using the property of cyclic quadrilateral, it follows:

w = 45° and x = 55°

Hence, the measures of the angles are v = 80°, y = 100°, w = 45°, and x = 55°.

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Answer:

z = 56

Step-by-step explanation:

I'll assume 1.25/0.06 = z−6 /2.4 is actuallY:  1.25/0.06 = (z−6)/2.4  (and not 1.25/0.06 = z−(6 /2.4)).

1.25/0.06 = (z−6)/2.4

1.25*(2.4) = (z−6)*(0.06)  [Multiply both sides by 0.06 and then 2.4]

  3 =  0.06z - 0.36

3.36 =  0.06z

z = (3.36/0.06)

z = 56

Answer:

I think it's 3650000

Step-by-step explanation:

7.1 mil ÷ 2 = 3550000

3550000 + 100000 = 3650000

The journal entry for the July 31 sales and November 11 cash payment is shown below .

In the question ,

it is given that ,

the amount for which Qantas Industries sold electronics during July under a nine-month warranty is = $325000  ,

cost to repair defects is = 4.5 percent of sales price .

So , the cost to repair is = 4.5% × 325000 = $14625 .

So , the journal entry for July 31 is

Warranty expense    Debit   14625

Estimated warranty liability/warranty payable    Credit   14625

and the journal entry for November 11 is :

Estimated warranty liability /warranty payable    Debit    220 ,

                                                                Cash       Credit   220  .

Therefore , the Journal entry is shown above .

The given question is incomplete , the complete question is

Qantas Industries sold $325,000 of consumer electronics during July under a nine-month warranty. The cost to repair defects under the warranty is estimated at 4.5% of the sales price. On November 11, a customer was given $220 cash under terms of the warranty. Provide the journal entry for the estimated warranty expense on July 31 for July sales. Provide the journal entry for the November 11 cash payment .

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Answer:

18 miles.

Step-by-step explanation:

You start with 12 miles and then you first need to figure out what 5% of that is by doing the equation x/12 = 5/100 and you will then get .6. Then you multiply that number by 10 (one for each week) getting 6. Then you add the 6 to your starting total to get 18.

The area of a rectangle with the dimensions (x-1) and (x+3) is x²+2x-3 square units.

Given that, the dimensions of a rectangle (x-1) and (x+3).

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Here, the area of a rectangle

= (x+3)×(x-1)

= x²+3x-x-3

= x²+2x-3

Hence, the area of a rectangle with the dimensions (x-1) and (x+3) is x²+2x-3 square units.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the area of a rectangle with the dimensions (x-1) and (x+3).

The line AC from the diagrammatic expression of the tangent of the circle shows that line AC is 24.0

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Line |CD| =  Diameter

Line |EA| = radius = 18

Line |DB| = 12

Then, we can infer that line EA = DE since they are both (radii of the circle.)

Line |DE| = |EA| = 18

By using the formula for Pythagoras' theorem, we can find line |EA|.

hyp² = opp² + adj²

where;

Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30

Line |AB| = opposite (x) = ???

Line |EA| = adjacent = 18

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

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Answer:

1. The negative flips the parabola upside down so there is a maximum

2. The 1/2 means there is a vertical shrink

3. -3 means the graph moves to the RIGHT 3 units (X sign always changes)

4. +12 means the graph shifts up 12 units

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

65% of 2,000 = 1300

........

Answer:

Step-by-step explanation:

Would buy again customers are people satisfied.

Therefore we have

satisfied overall people surveyed

In numbers, this looks like

1300/2000

Simplifying we get

13/20

If you use a calculator then you can input this equation. However, if you want to be big-brained you can use simple math to get the decimal answer fast.

13/20 = (13•5)/(20•5) = 65/100 = 0.65

But if you need a percent value then you are not done!

0.65 is not a percent. To get a percent you multiply your fraction or decimal by 100. Therefore we get 0.65•100 = 65%

65% of people would buy the car again. Therefore 65% of people are satisfied with that car.

Using the formula of the combination and for the values of 'p' and 'q'. The statement is false.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

The formula is:

[tex]C(p,q) = \frac{p!}{q!(p-q)!}[/tex]

p=4 and put q=0 to 4

C(4,2) > C(4,0),C(4,1),C(4,3),C(4,4)

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The function f(x) is greater than zero when the value of x lies in between -3 and 5 and this can be determined by using the given graph.

Graph is a mathematical representation of a Networks and it's describes the relation between lines and points.

The graph of the function f(x) is given.

The following steps can be used in order to determine the interval for f(x):

Step 1 - The value of f(x) means the value of y.

Step 2 - The value of f(x) is positive when the graph of f(x) is in the first or in the second quadrant.

Step 3 - So, according to the graph function f(x) is positive when the value of x is in between -3 and 5.

Therefore, the correct option is 3).

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The distance between the point and the line is 3 units.

Find the equation for line L

Begin by finding the slope of the line through the given points, (4,-1) and (4,9) ; its intercept:

m = (y₂ - y₁) / (x₂ - x₁)

= (9 - (-1) ) / 4 - 4

= 10 / 0

= Undefined

Because the slope is undefined, then line L is a vertical line which has an x-intercept of (4,0):

x=4

Because, line L is vertical, then the line w perpendicular to it is a horizontal line that passes through (1,6)(1,6) so its equation is y=6. Hence, L and w intersect at (4,6) which we will denote as Q.

The perpendicular distance is the distance from point P(1,6) to point Q(4,6) which is simply the absolute value of the difference of the x-coordinates:

d = | 1 - 4 |

= |-3|

= 3

Hence, The distance between the point and the line is 3 units.

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The surface area of the triangular prism is 924 cm².

What is the triangular prism?

When a prism has three rectangular sides and two triangular bases, the prism is said to be triangular. A pentahedron, that is.

Volume is calculated using the formula volume = 0.5 * b * h * length, where b is the triangle's base length, h is its height, and length is the prism length.

                                         Area is defined as length * (a + b + c) + (2 * base area), where a, b, and c are the triangle's sides and base area is the triangle's base area.

The surface area is equal to the area of the two triangles + area of the three rectangles.

Area of two triangles:

12 × (9+5) × 1/2

= 84

84(2) = 168

Area of the three rectangles:

15 × 20 + 13 × 20 + 14 × 20

= 840

840 + 84

The surface area of the triangular prism is 924 cm².

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