An equation of a line perpendicular to the line represented by the equation y=-1/2x-5 and passing through (6,-4)

Final answer:

The sum of -2.5 and (-3.5) is -6.0, which is found by adding the absolute values of the numbers and giving the result a negative sign. The correct number line representation for this sum would show a leftward movement from -2.5 by 3.5 units to end at -6.0.

Explanation:

When calculating the sum of -2.5 and (-3.5), we follow the rule that when two negative numbers are added, the answer has a negative sign. Both numbers in the sum are negative, therefore, we add their absolute values and then give the result a negative sign. The calculation is as follows:

-2.5 + (-3.5) = -(2.5 + 3.5) = -6.0

The number line that shows this sum would start at -2.5 and move left (which indicates adding a negative number) 3.5 units, landing on -6.0.

Answer:

200 mm^2

Step-by-step explanation:

Area of the rectangle = 2 * 25 = 50 mm^2.

Area of the triangle = 1/2 * 20 * 15

= 1/2 * 300

= 150 mm^2.

Total area = 150 ^ 50 = 200 mm^2.

Answer:

$3

Step-by-step explanation:

By investing $2,000 Bobby will earn $60 interest

∴By investing $1 Bobby will earn =$(60/2000) interest

so,

By investing $100,

He will earn =$ {(60/2000 ) .100}  

                     =$3

If Bobby invests his money for one year at the same interest rate as his brother, then he will earn $3 amount.

Thus, option A $3 is correct.

Interest that Bobby will earn at same interest rate as his brother after 1 year of investment of $100.

If someone invests P amount for T years with simple interest rate R% per year, then the simple interest that that person will earn is given by:

[tex]SI = \dfrac{P \times R \times T}{100}[/tex]

Putting values of P, R and T of Bobby's brother's investment, we have:

[tex]60 = \dfrac{2000 \times 1 \times R}{100}\\\\6000 = 2000R\\\\R = \dfrac{6000}{2000} = 3\%[/tex]

At that rate, the SI for Bobby's $100 investment for 1 year is:

[tex]SI = \dfrac{100 \times 3 \times 1}{100} = \$3[/tex]

Thus, Bobby will get $3 as interest.

Learn more about simple interest here:

https://brainly.com/question/25296782

Answer:

0.85

Step-by-step explanation:

1/20=0.05

0.05*17=0.85

17/20 as a decimal would be 0.85

Answer:

-2.3

Step-by-step explanation:

Don't forget to move the decimal

Answer:

(3,2)

Step-by-step explanation:

The system is

x + y = 5

x -y = 1

Add the equations to eliminate y

2x = 6----->x=3

Substitute this value in any equation

3+y = 5----->y=2

The solution is (3,2)

Step-by-step explanation:

Area of parallelogram = ( base ) ( height )

area of parallelogram = ( 2.9 ft ) ( 5.5 ft )

( as given )

area of parallelogram =15.95 ft²

Answer:

269

Step-by-step explanation:

1) Substitute in the given values for each variable:

6(3)+23+(7)(33)-3

2) Simplify:

18+23+231-3

3) Simplify again:

269

By calculating the cost per shrub at both the nursery and the garden store, then multiplying by 21 shrubs, we find that Kevin saves $21.00 by purchasing from the garden store instead of the nursery.

Kevin is trying to decide between two stores to purchase a total of 21 shrubs for his yard. In order to calculate how much money Kevin can save by choosing the garden store over the nursery, we will need to determine the cost per shrub at each location and then multiply by the total number of shrubs Kevin wants to purchase.

At the nursery, six shrubs cost $72.00, which means each shrub costs $72.00 ÷ 6 = $12.00.

For 21 shrubs, the cost at the nursery would be 21 × $12.00 = $252.00.

At the garden store, six shrubs cost $66.00, which gives us a cost of $66.00 ÷ 6 = $11.00 per shrub.

Therefore, for 21 shrubs, the total cost would be 21 × $11.00 = $231.00.

Now, let's find out the savings if Kevin buys from the garden store instead of the nursery: $252.00 - $231.00 = $21.00.

Thus, Kevin will save $21.00 by purchasing the shrubs from the garden store.

Answer:

0.007%

Step-by-step explanation:

This is the answer because I need points to answer a question

Answer:

99.9468 %

Step-by-step explanation:

The total percentage of the diamond and gold is:

0.0042 %  + 0.049%  = 0.0532%

The percentage of other metal that is neither gold or diamond = 100 - 0.0532

                                                                                                         = 99.9468 %

Answer:

the answer is 0.5

Step-by-step explanation:

Subtracting a number from x shifts the graph that may places tot he right

Subtracting a number at the end of the equation, shifts the graph that many units down.

The answer would be: Shift the graph of y = x^2 right 2 units and then down 10 units.

Answer:

Shift the graph of y = x^2 right 2 units and then down 10 units.

Step-by-step explanation:

The graph of y= x^2 can be transformed to the graph of the given equation: y = (x - 2)2 - 10. This can be done by shifting the graph of y = x^2 right 2 units and then down 10 units.

Answer:

A

Step-by-step explanation:

Note that i² = - 1

Given

(7 - 5i)(2 + 3i) ← expand factors using FOIL

= 14 + 21i - 10i - 15i² ← collect like terms

= 14 + 11i + 15

= 29 + 11i → A

Answer:

A

Step-by-step explanation:

Answer:

Im pretty sure its 13.137

        I hope this helps!

Answer:

[tex]13.13[/tex]

Step-by-step explanation:

We first we need to look at the equation:

381 ÷ 29

So we first have to look at how many times 29 goes into 38, since 29 is already in the tens place.

It only goes in once. Meaning that right now you have one as your tens place.

1

Now you need to subtract 29 by 38

==> 9

So drop down the one from 381 to get 91, then find out how many times 29 goes into 91

==> 3 times

So now 3 is your tens place

13

Now do 91 - 29

==> 62

62 left?!

That means we need to [tex]annex^{1}[/tex]  :

drop down 0 into 62 to get 620:

Find out how many times 29 goes into 620:

==> 13

13.13

annex = drop down 0 after a decimal

Answer:

(-0.5,1)

Step-by-step explanation:

The half of the diference between the points its equal to its midpoint distance:

[tex](\frac{-3+2}{2},\frac{-5+7}{2} )=(-0.5,1)[/tex]

Step-by-step explanation:

4x-c=k

4x=c+k

x=(c+k)/4

Answer:

X= K-C/4

Step-by-step explanation:

The -C goes to the K makes it K-C

Then /4 because we need the ex by their self

Lastly we get W=K-C/4

Answer:

The strategy to evaluate these expressions is called PEMDAS.

Step-by-step explanation:

[tex]15-[(3^2+6)\div5][/tex]

We're going to be following the rule of PEMDAS:

Keep in mind that multiplication/division and addition/subtraction are done from left to right.

In the first expression (written above), we'll first evaluate everything inside the brackets first (brackets are used when there are parentheses inside of it - but they serve the same function). There are parentheses in these brackets, so that will be the absolute first step in evaluating.

Solve for [tex]3^2+6[/tex] then rewrite the expression.

Now finish evaluating inside the parentheses by dividing 15 by 5.

The last step to evaluate the expression is to subtract 3 from 15.

[tex]4\times[50-3(1+3)^2][/tex]

Evaluate everything inside the the brackets. Start with the parentheses since that is first according to PEMDAS. Add 1 and 3 together then rewrite the expression.

Exponents are solved next after parentheses in PEMDAS, so evaluate the exponent.

Multiplication is done before subtraction, so multiply 3 and 16 together.

Finish evaluating inside the brackets by subtracting 48 from 50.

The last step in evaluating the second expression is to multiply 4 and 2 together, which gives us 8.

Answer: The numbers are 7 and 17

Step-by-step explanation: twice of 7 is 14 and 3 + 14 = 17

Answer:  [tex]\bold{\dfrac{16}{3}}[/tex]

Step-by-step explanation:

Inverse variation uses the formula: xy = k

We are given that x = 2 and y = 8, so k = 16

Now, let's find x when y = 3 and k = 16

[tex]x(3)=16\\\\x=\dfrac{16}{3}[/tex]

Step-by-step explanation:

first 3(-x+5) you distribut

then you would get 15-3x+15=21+6x and u combine like terms which is 3x and 6x which is 9 and u get 15-9x+15=21tthen u sabtract 15x on both side and get 15-9=21 then u subtract 15 ok both side and get x = 0.7

To find out what percent of the people at the beach have white towels, we can take the sum of the percents and subtract them from 100. In other words, we can add up the percents of both the red and the blue towels and subtract the sum from 100%.

45 + 15 = 60

100 - 60 = 40

Therefore, 40% of the people at the beach have a white towel.

Answer:

40%

Step-by-step explanation:

At the beach, 45% of people have red towels and 15% have blue towels. If the  rest have white, 40% of the people at the beach have white  towels.

In order to find the answer, you have to do the following steps:

45% + 15% = 60%

100%  - 60% = 40%

Therefore, the answer is 40%.

Answer:

10 years

Step-by-step explanation:

Answer:

your answer is B

Step-by-step explanation:

Final answer:

The two consecutive integers whose sum is 373 are 186 and 187. We derived the equations n + (n + 1) = 373 and solved for n to find the first integer.

Explanation:

To find two consecutive integers whose sum is 373, let's denote the first integer as n. The next consecutive integer will be n + 1. When we add these two integers together, their sum should equal 373, which gives us the equation:

n + (n + 1) = 373

Simplifying this equation, we get:

2n + 1 = 373

To solve for n, we subtract 1 from both sides of the equation:

2n = 372

Divide both sides by 2:

n = 186

So the first integer is 186. The next consecutive integer is:

n + 1 = 186 + 1 = 187

Therefore, the two consecutive integers that sum to 373 are 186 and 187.

Answer:

a. $500

b. $250

Step-by-step explanation:

a. For zero items produced, cost will be-

[tex]C(0) = 10(0) + 500 = 0 + 500 = 500[/tex]

b. For zero items produced, cost will be-

[tex]C(25) = 10(25) + 500 = 250 + 500 = 750[/tex]

c. If [tex]C(x)_{max} = 1500[/tex]

[tex]10x + 500 = 1500\\10x = 1000\\x = 100[/tex]

∴ domain for cost function will be [tex][0,100][/tex] and range will be 100

Answer: A) fixed cost is $500

B) Cost of making 25 items is $750

C) Domain: [0,100]

Range :[500,1500]

I got 100% on test with these answers

The angles of 115 degrees and (52+x) are the same, because they are alternate interior angles.

Answer:

62º + x = 115º

because AB and CD are parallel, which means 115º and 62+x are "alternate angles"

ALTERNATE ANGLES

Step-by-step explanation:

Answer:

862

Step-by-step explanation:

Answer:

max showed less improvement!

Step-by-step explanation:

Max percentage improvement in the first exam = (6/30 × 100) %

= (600/30) %

= 20 %

Maria percentage improvement in the first exam = (30/60 × 100) %

= (3000/60) %

= 50 %

Hence, 20 % < 50 %

Final answer:

Max improved by 6 marks from his previous score, while Maria improved by 30 marks. Therefore, Max showed less improvement than Maria.

Explanation:

Max scored 6 marks higher than his previous score of 30, making his new score 36. Maria scored 30 marks more than her previous score of 60, taking her new score to 90. To determine who showed less improvement, we compare the amount of increase in their scores.

Max's improvement: 30 + 6 = 36

Maria's improvement: 60 + 30 = 90

Max improved by 6 marks, and Maria improved by 30 marks. Therefore, Max showed less improvement.

When comparing improvement, it's useful to look at the actual increase in marks gained, not necessarily the percentage improvement unless specifically asked. Here, the simple comparison of the additional marks scored determines who improved less. Though both students improved their scores, the difference in their points increased is a clear indicator of whose improvement was less significant.