ANSWERS FOR THESE!!!

Assuming we need to find out what 20% off of the prices listed is, we can set up equations for each of them, where x is the original price.

New price = [tex]\frac{8}{10} x[/tex] or simplified to [tex]\frac{4}{5} x[/tex]

So, putting the original prices through the formula, we get these values:

$15 --> $12
$12 --> $9.60
$25 --> $20
$120 --> $96
$35 --> $28
$28 --> $22.40

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

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Answer: =A.[tex]x = - 3[/tex] [tex]x = - 4[/tex]

Solution:

[tex]x ^ { 2 } +7x=-12[/tex]

[tex]x^{2}+7x+12=0 [/tex]

[tex]a+b=7 ab=12 [/tex]

[tex]1,12 2,6 3,4 [/tex]

[tex]1+12=13 2+6=8 3+4=7 [/tex]

[tex]a=3 b=4 [/tex]

[tex]\left(x+3\right)\left(x+4\right) [/tex]

[tex]x = -3[/tex] , [tex]x = -4[/tex]

════════════════════

Explanation:

#Carry on learning

To prove that this triangle is a right triangle, we need to check the side lengths using pythogoras theorem.

Given:

Putting the side lengths into pythogoras theorem:

Using the formula "(a + b)² = a² + 2ab + b²

Divide both sides by 625:

The value of x that proves this triangle a right triangle is 1.

x = 1

If it is a right angle triangle

→ (short side)² + (short side)² = (long side)²

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

as distance is positive

Answer:

The numbers are 75,68

Step-by-step explanation:

Let the number be a ,b

The sum of two numbers is 143

⇒   x + y = 143 -------------(I)

Their difference is 7

⇒ x - y = 7 --------------(II)

Add the equation (I) & (II) and thus y will be eliminated and we can find the value of x

(I)     x + y = 143

(II)   x -  y = 7        {Now add}

     2x       = 150

            x  = 150 ÷ 2

x = 75

Substitue x =  75 in equaion (I)

75 + y =143

      y = 143 - 75

y = 68

Step-by-step explanation:

a)

Eric runs for 4 min and walks for 8 min.

The distance covered is

The goal of 1600 m is not met, needs additional 160 m

b)

The equation of distance is

c)

For d = 1600, the equation is

Simplified form of it

Some combinations of x and y to make the equation right

d)

See the attached graph for more combinations, where the first coordinate represents running time and the second coordinate - walking time

Answer:

Given:

If Eric runs for 4 minutes ⇒ 200 x 4 = 800 m

If Eric walks for 8 minutes ⇒ 80 x 8 = 640 m

Total distance covered = 800 + 640 = 1440 m

Therefore, he is 160 m away from his 1600 m goal.

Let x = number of minutes Eric runs

Let y = number of minutes Eric walks

Let d = total distance Eric covers

Equation:   d = 200x + 80y

Set d = 1600, then rewrite to make y the subject:

200x + 80y = 1600

⇒ 5x + 2y = 40

⇒ 2y = 40 - 5x

⇒ y = 20 - 2.5x

Now find ordered pairs (points on the line):

Plot (8, 0)  (0, 20)  and (4, 10) and connect with a straight line.

(see attached graph)

From inspection of the graph, other combinations of running and walking times for which Eric would cover 1600 meters are:

Answer:

The right answer is C

Step-by-step explanation:

1.08(0.85p)

Answer:

the rule is multiply input by 25 then add 2, for example 2 x 25 = 50, 50 + 2 = 52

Step-by-step explanation:

this is because you minus 2 from the output to see the pattern from input. For example, 52 - 2 = 50 and to get from 2 to 50 you have to multiply by 25. This can be seen in the other numbers as well. Therefore the answer as a graph will be y = 25x + 2

Answer:

52 divided by 2 equal 26

102 divided by 4 equal 25.5

127 divided by 5 equal 25.4

177 divided by 7 equal 25.28

202 divided by 8 equal 25.25

Step-by-step explanation:

Answer:

Make two piece of this figure

Step-by-step explanation:

then use formula of v = l × b × h

Answer:

Mode = none, Median = 2.5, Mean= 2.5

Step-by-step explanation:

Hope this helps! :)

Step-by-step explanation:

the mode is the data item that occurres the most often.

but in 4, 5, 0, 2, 3, 1 every number appears only once. so, the mode is 0, 1, 2, 3, 4, 5 (as special case this average number can have more than one value - like in our case here).

the median is the value in the data set that lies directly in the middle between the other values (half of them are higher, the other half is lower).

if our data set has an even number of data points, or there is no unique middle value for other reasons, then the median is the mean value of the 2 middle values.

in our case 2 and 3 are the 2 middle values, so the median is (2+3)/2 = 2.5

the mean value is directly the average value across the whole data set : the sum of all values divided by the number of values.

(0+1+2+3+4+5)/6 = 15/6 = 2.5

the range is the difference between the highest and the lowest value in the data set : 5 - 0 = 0

Answer:

60°

Step-by-step explanation:

→ Find the sum of the angles

70 + 70 + x + 50 + x + 50 = 2x + 240

→ Equate the expression to 360

2x + 240 = 360

→ Minus 240 from both sides

2x = 120

→ Divide both sides by 2

x = 60

Answer:

1. 0.047, 0.453

2. 343

Step-by-step explanation:

The confidence interval regarding the veterinarian will be (0.045, 0.455).

Sample success = 10

Sample size = 40

Pt estimate = 10/40 = 0.25

Standard error = 0.0685

The corresponding interval is (0.045, 0.455).

The sample size that the veterinarian should use to achieve a margin of error will be:

Margin of error = 0.08

Critical Z = 3.0

Estimated proportion = 0.5

Sample size = p × (1-p) × (z/e)²

= 0.5 × (1-0.5) × (3/0.08)²

= 352

Learn more about confidence interval on:

https://brainly.com/question/15712887

Answer:

all are congruent

Step-by-step explanation:

Four triangles are formed by joining the mid points of the three sides of a triangle then all are congruent as sides of all triangles will be same as they are formed by joining the mid points.

Answer:

x less than or equal to -24

graph attached

Step-by-step explanation:

attached in image

Answer:

First, let's find how many hybrid cars are sold during those two years.

2007 = 17,300 hybrid cars were sold

2008 = 22,600 hybrid cars were sold

Find the difference by subtracting the cars in 2007 from 2008.

22,600(2008) - 17,300(2007)

= 5,300

The difference is 5,300 cars.

Answer: the answer is 2042 or C

Step-by-step explanation:

Answer:

2042

Step-by-step explanation:

took the test

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 8 \times 2 \times 5}[/tex]

[tex] \mathsf \purple{v = 80 \: cubic \: units} [/tex]

Answer:

80 cubic units

Step-by-step explanation:

Given

Volume = Length x Width x Height

Answer:

At origin x-axis and y-axis are Zeros and when the the will at x-axis then y-axis wil zero so,

C is the right answer

Answer:

x≤k

Step-by-step explanation:

k= how many oz. Kiran drank. -Crispin

Answer:

y = 2

Step-by-step explanation:

Given equation:

[tex]2y - 5 = 5y - 11[/tex]

Subtract 5y both sides:

[tex]\implies 2y - 5 = 5y - 11[/tex]

[tex]\implies 2y - 5 - 5y = 5y - 5y - 11[/tex]

[tex]\implies -3y - 5 = -11[/tex]

Add 5 both sides:

[tex]\implies -3y - 5 = -11[/tex]

[tex]\implies -3y - 5 + 5 = -11 + 5[/tex]

[tex]\implies -3y = -6[/tex]

Multiply -1 both sides:

[tex]\implies -3y = -6[/tex]

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

[tex]\implies 3y = 6[/tex]

Divide 3 both sides:

[tex]\implies 3y = 6[/tex]

[tex]\implies \dfrac{3y}{3} = \dfrac{6}{3}[/tex]

[tex]\implies \boxed{y = 2}[/tex]

The intersection of the rays KV and JP would create vertical angles

The expressions that have the equal values as PMV are KMJ, 180 - JMV and 180 - PMK

The rays are given as:

Rays KV and JP

The point of intersection is given as:

Point M

When the rays KV and JP intersect at point M, the following angles are created

KMJ, JMV, PMV and PMK

Such that:

The above means that angles KMJ and PMV are equal and

PMV = 180 - JMV

PMV = 180 - PMK

Hence, the expressions that have the equal values as PMV are KMJ, 180 - JMV and 180 - PMK

Read more about vertical angles at:

https://brainly.com/question/14362353

Answer:

The answer is $64.

Formula for simple Interest is P x R x T/100. Which is $8000 x 8 x 1/100 = $64

Answer:

See below.

Step-by-step explanation:

A. First equation is

q + n = 14      

then we have

0.25q + 0.05n = 2.5

Multiply last equation by -20

-5q - n = -50     Now add this to the first equation

-4q + 0 = -36

B.  q = -36/-4 = 9.

D  Substitute for q in the  first equation

9 + n = 14

n = 14 - 9 = 5.

So the solution to the system is  q = 9, n = 5.

E Verify  this solution by substituting in the second equation:

0.25(9) + 0.05(5)

= 2.25 + 0.25 = 2.50.

- verified.

F.  9 quarters and 5 nickels.

The amount of money Trevon had last Friday⇢$29

The total amount of money he has after cleaning the attic⇢$41

So,

The amount of money he received after cleaning the attic ⇢ Total money he has after cleaning the attic - The money he had last Friday

Thus ,he received $ 12 for cleaning up the attic.

The cost of the game ⇢$30.98

The amount of money she gave to the cashier ⇢$40

The amount she'll receive back⇢ the amount of money she gave to the cashier - the cost of the game

Hence , she'll receive $ 9.02 back from the cashier.

Answer:

Given:

To calculate the money Trevon received for cleaning the attic over the weekend, we need to find the difference between the money he started with and the money he now has.  To find the difference, subtract the smaller number from the bigger number:

⇒ Money Trevon received = Money he has now - money on Friday

                                             = $41 - $29

                                             = $12

Therefore, Trevon received $12 for cleaning the attic over the weekend.

Given:

To calculate the change Jenny received from the cashier, we need to find the difference between the two amounts.  To find the difference, subtract the cost of the game from the money Jenny gave to the cashier:

⇒ Change = money given - cost of game

                 = $40 - $30.98

                 = $9.02

Therefore, Jenny received $9.02 in change from the cashier after paying for a game that costs $30.98 with $40.

The coordinates of the image of the parallelogram ABCD after the transformations are A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)

The coordinates of the parallelogram ABCD are given as:

A(−2, 3), B(3, 3), C(2, −3) and D(−3, −3)

When reflected across the y-axis, the rule of transformation is:

(x,y) -> (-x,y)

So, we have:

A'(2, 3), B'(-3, 3), C'(-2, -3) and D'(3, −3)

When rotated by 180 degrees, the rule of transformation is:

(x,y) -> (-x,-y)

So, we have:

A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)

Hence, the coordinates after the transformations are A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)

Read more about transformation at:

https://brainly.com/question/4289712

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The appropriate values of n and r are illustrations of permutation.

The values of n and r are 75 and 10, respectively

From the question, we have the following parameters:

The above means that:

n = 75

r = 10

This can be interpreted as:

Arrange 10 songs from a list of 75 songs

Hence, the appropriate values of n and r are 75 and 10, respectively

Read more about permutation at:

https://brainly.com/question/11732255

Answer:

119

Step-by-step explanation:

64 + 23 + 32

119 I think

Answer:

$189.20

Step-by-step explanation:

Since 12% off is the same thing as 88% of the original value, then you can simply multiply 215 by 0.88. This results in 189.2.

Answer:

$189.2

please make this answer brainliest If I helped you!

78 students went on a field trip. They went by van or car. The total number of cars and vans were 10. Each car held 5 students and each van held 12 students. How many cars and how many vans went on the field trip?

Let the number of cars be "x" and the number of vans be "y".

According to question,

x + y = 10 5x + 12y = 78 -->(ii)

=> 5(x + y) = 10 × 5

=> 5x + 5y = 50 -->(i)

By Elimination method,

Equation (i) - (ii) we get,

(5x + 5y) - (5x + 12y) = 50 - 78

=> 5x + 5y - 5x - 12y = - 28

=> - 7y = - 28

=> 7y = 28

=> y = 28/7

=> y = 4

Putting the value of "y" in Equation (i)

5x + 5y = 50

=> 5x + 5 × 4 = 50

=> 5x + 20 = 50

=> 5x = 50 - 20

=> 5x = 30

=> x = 30/5

=> x = 6

The total number of cars went = 6

The total number of vans went = 4

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168 students went on a field trip. They took a total of 10 vans and buses. Each bus held 42 students, and each van held 6 students. How many vans went on the field trip?

Solution:

Let the number of buses be "x" and the number of vans be "y".

According to question,

x + y = 10 42x + 6y = 168 -->(ii)

=> 42(x + y) = 10 × 42

=> 42x + 42y = 420 -->(i)

By Elimination method,

Equation (i) - (ii)

(42x + 42y) - (42x + 6y) = 420 - 168

=> 42x + 42y - 42x - 6y = 252

=> 36y = 252

=> y = 252/36

=> y = 7

Putting the value of "y" in Equation (ii)

42x + 6y = 168

=> 42x + 6 × 7 = 168

=> 42x + 42 = 168

=> 42x = 168 - 42

=>42x = 126

=> x = 126/42

=> x = 3

Total number of buses went = 3

Total number of vans went = 7