Jackie is thinking of one number and Adrian is thinking of another. Camila thought if I take these two numbers, they have a product of 567 and a difference of six. Jackie’s number is higher than Adrian’s. What are Jackie’s and Adrian’s numbers?

Answers

Answer 1

Answer:

Jackie: 27Adrian: 21

Step-by-step explanation:

Integers with a product of 567 are ...

  567 = 1·567 = 3·189 = 7·81 = 9·63 = 21·27

The last of these pairs of factors have a difference of 6, so they are the answers.

Jackie's number is 27; Adrian's number is 21.

_____

You could let "a" represent Adrian's number and write the equation ...

  a(a +6) = 567

  a^2 +6a +9 = 576 . . . . . complete the square

  (a +3)^2 = 24^2 . . . . . . . write as squares

  a = -3 +24 = 21 . . . . . . . . take the positive square root; subtract 3

Adrian's number is 21; Jackie's number is 27.


Related Questions

Laura, Chau, and Jose sent a total of 152 text messages. Jose sent 4 times as many messages as Laura. Laura sent 8 fewer than Chau. How many messages did they each send?

Answers

Answer:

The number if texts sent by Chau  = 32

The number of texts sent by Laura = 24

The number of texts sent by Jose  =  96

Step-by-step explanation:

The total number of sent texts =  152

Let us assume the number of texts sent by Chau = k

So, the number of texts sent by Laura  = 8 fewer than Chau  = k - 8

Also, the number of texts sent by Jose = 4 times as many messages as Laura

=  4 x (k-8)

So, now the total number of texts = texts sent by ( Chau  + Jose + Laura)

or, 152  = k +  (k-8) + 4(k-8)

⇒ k + 5(k-8) = 152

or, k + 5 k - 40 = 152

or, 6 k  = 192

or, k = 32

So, the number if texts sent by Chau = k = 32

The number of texts sent by Laura = k - 8 = 24

The number of texts sent by Jose = 4 (24)  =  96

find the value of the expression 74.9+5.23-81.4-16

Answers

Answer:

To find the value of this expression you need to add and subtract from left to right

74.9+5.23-81.4-16 (add the first two, first)

80.13-81.4-16 (74.9+5.23=80.13) (next subtract the next two)

-1.27-16 (80.13-81.4=-1.27) (Last subtract the last two)

-17.27 (-1.27-16=-17.27)

-17.27

Hope this helps ;)

What is 15% of $67,000?

Answers

Answer:

$10,050

Step-by-step explanation:

To find a percent of a number, multiply the percent by the number. First, change the percent to a decimal by dividing it by 100.

15% of $67,000 =

= 15% * $67,000

= 0.15 * $67,000

= $10,050

24.94 is 29% of what number

Answers

Final answer:

To find the number that 24.94 represents 29% of, you set up the equation 24.94 = 0.29 × x and solve for x, yielding x = 86.

Explanation:

To find the number that 24.94 is 29% of, we can set up an equation. If 24.94 is 29%, then we are looking for the whole (100%). We represent the whole number with a variable, let's call it x. The equation is as follows:

24.94 = 0.29 × x

To solve for x, we'll divide both sides of the equation by 0.29,

x = 24.94 ÷ 0.29

Now, let's do the math:

x = 86

Therefore, 24.94 is 29% of 86.

please answer asap.......

Answers

Answer:

"-" always means "less" or a "drop"

Therefore the answer is a drop of 8 meters (the first one)

Hope this helps! :]

A drop of 8 meters I think

Solve for x.
2(3x+8) = 40
Simplify your answer as much as possible.

Answers

6x+16=40
40-16=24
24=6x
X=4

Answer:

x = 4

Step-by-step explanation:

2(3x+8) = 40   (By PEDMAS, distribute parentheses first)

3x (2) + 8(2) = 40    (next do multiply)

6x + 16 = 40   (subtract 16 from both sides)

6x = 40 - 16

6x = 24  (divide both sides by 6)

x = 24/6 = 4

what is the midpoint of the line segment with endpoints(-2,-2) and (4,6)

Answers

Answer:

The midpoint of points [tex](-2,-2)\ and\ (4,6)[/tex] is [tex](1,2)[/tex].

Step-by-step explanation:

Given points are [tex](-2,-2)\ and\ (4,6)[/tex]. We need to find the midpoint of the line segment.

The formula of finding midpoints between the point [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is

[tex](\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2})\ Equation(1)[/tex]

W have points [tex](x_1,y_1)=(-2,-2)[/tex]. And [tex](x_2,y_2)=(4,6)[/tex]

Let us plug the value in Equation (1)

[tex](\frac{-2+4}{2} ),(\frac{-2+6}{2})[/tex]

[tex](\frac{2}{2}),(\frac{4}{2})\\ \\(1,2)[/tex]

So, the midpoint of points [tex](-2,-2)\ and\ (4,6)[/tex] is [tex](1,2)[/tex].

i need the answer to this question (geometry)

Answers

Answer:

  11.3

Step-by-step explanation:

The parallel lines divide the transversals into proportional segments, so ...

  x/8.25 = (4+11)/11

  x = 8.25·(15/11) = 11.25

  x ≈ 11.3 . . . . . rounded to one decimal place

Write 2x2 – 16x + 14 = 0 in the form (x - p)2 = q by completing the square.

Answers

Answer:B (x-4)^2=9

Step-by-step explanation:

Simplify the expression (2/9) ^2
exponent of 2


A. 4/81
B. 4/18
C. 4/11
D. 2/9

Answers

Answer:

A 4/81

Step-by-step explanation:

(2/9)² is the same as 2/9×2/9, which is 4/81.

There are 4 people jogging. There are 5 more people walking than jogging. How many people are walking.

Answers

Answer:

Step-by-step explanation:

4 + 5=9

We are certain that 4 people are jogging and it is given that mote 5 people are walking rather than jogging so from these statement we can see that only 5 people are walking.

What do you mean by jogging?

Running at a slow and regular pace, especially as a form of exercise, usually runs half an hour before breakfast. Exercise and training  the purpose of jogging is to Health benefits of running and jogging helps build strength because it is heavy exercise strengthens muscles. improves cardiovascular fitness. burn a lot of kilojoules.

Jogging is a form of aerobic exercise in which running speed is less than 6 miles per hour. Jogging regularly can help you lose weight, especially if you also change your diet.

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The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of hypotenuse B C is 15 centimeters. What is the length of Line segment A C? Round to the nearest tenth. 3.0 in. 9.8 in. 10.5 in. 12.8 in.

Answers

Answer:

10.5 in

Step-by-step explanation:

The correct question is

The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of B C is 15 inches. What is the length of Line segment A C?

Note: BC is not the hypotenuse of the right triangle ABC

see the attached figure to better understand the problem  

In the right triangle ABC of the figure

we know that

[tex]tan(55^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)

[tex]tan(55^o)=\frac{15}{b}[/tex]

solve for b

[tex]b=\frac{15}{tan(55^o)}[/tex]

[tex]b=10.5\ in[/tex]

Answer:

10.5 in

Step-by-step explanation:

Can anybody answer this question #13 and tell me how they got the answer.... thank you

Answers

Answer:

  C  6

Step-by-step explanation:

The point P is the centroid of the triangle (the intersection of medians). The centroid divides the median into parts in the ratio 2:1, with the longer part between the centroid and the vertex.

Here, that means ...

  NP/PQ = 2/1

  NP = 2·PQ = 2·3

  NP = 6

Emma has n containers. She will put
cup of berries into each container.
Which expression represents the total amount of berries, in cups, that Emma will put into the containers?

Answers

Final answer:

The total amount of berries, in cups, that will be in Emma's containers is represented by the expression n in mathematics , due to the multiplication principle of counting.

Explanation:

The subject of this question is mathematics, specifically, arithmetic and algebra. Emma has n containers and plans to put one cup of berries into each container. To find the total amount of berries, in cups, that Emma will put into the containers, you multiply the number of containers by the number of cups per container. Since Emma is putting 1 cup of berries in each container, the expression that represents the total amount of berries Emma will put into the containers is simply n.

This is due to the Multiplication Principle of Counting, which states that if one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in m x n ways. Here, the two events are 'number of containers' and 'cups of berries per container', with the 'number of containers' being variable, represented as n and the 'cups of berries per container' being a constant '1'.

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what does this equation equal
4=1/2x+3

Answers

Answer:

X=2

Step-by-step explanation:

FIRST YOU SUBTRACT 3 FROM BOTH SIDES:

4=1/2X+3

-3         -3

1=1/2X

THEN U DIVIDE BOTH SIDES BY 1/2:

1=1/2X

1/1/2=X

1*2/1=X

2=X

Of the 24,000 cellular phones inspected in the last production run , 50 were defective . What fraction of the cellular phones inspected was defective

Answers

Answer:

Step-by-step explanation:

24,000 inspected.....50 were defective

50/24,000 reduces to 1/480 <===

You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint. How much blue paint and how much red paint do you use?

Answers

Answer:

3 quarts of blue paint and 2 quarts of red paint

Step-by-step explanation:

Let

x ---> quarts of blue paint

y ---> quarts of red paint

we know that

You make 5 quarts of purple paint

so

[tex]x+y=5[/tex] ----> equation A

The ratio of of blue paint to red paint is

[tex]\frac{x}{y} =\frac{(1/2)}{(1/3)}[/tex]

[tex]\frac{x}{y}=1.5[/tex]

[tex]x=1.5y[/tex] ----> equation B

Solve the system by substitution

substitute equation B in equation A

[tex]1.5y+y=5[/tex]

solve for y

[tex]2.5y=5\\y=2[/tex]

Find the value of x

[tex]x=1.5(2)=3[/tex]

therefore

3 quarts of blue paint and 2 quarts of red paint

Convert `[-3,oo)` to inequality notation use the variable x.

Answers

Answer:

x≥-3

Step-by-step explanation:

the bracket means the the number is inclusive, so the answer would be

x≥-3

Final answer:

To convert the interval [-3,∞) to inequality notation, we would write x ≥ -3, indicating that x includes -3 and extends to positive infinity without an upper bound.

Explanation:

To convert the interval notation [-3,∞) to inequality notation using the variable x, we consider the meaning of the interval. The square bracket [ indicates that the number -3 is included in the interval, which corresponds to x ≥ -3. The infinity symbol (∞) suggests that there is no upper bound to the values of x, hence the interval does not include any particular largest number, which is why the parenthesis ) is used rather than a square bracket. Therefore, the equivalent inequality notation for the interval [-3,∞) is x ≥ -3.

3. From (3x² + x-14) subtract (-x² – 3x – 2).

Answers

Answer:

W

Step-by-step explanation:

Tvivyvyvububi

Answer:

4x^2+4x-12

Step-by-step explanation:

(3x^2+x-14)-(-x^2-3x-2)

3x^2+x-14+x^2+3x+2

3x^2+x^2+x+3x-14+2

4x^2+4x-14+2

4x^2+4x-12

the ratio of girls to boys in 6th grade is 3:4. If there are 182 6th graders, how many are girls

Answers

Answer:

78 girls

Step-by-step explanation:

Ratio is 3:4, so that means the total number of 182 can be divided into 7 parts. 182 divided by 7 is 26, so each part is 26. The ratio of girls is 3, so 3 times 26 is 78. You can check this by putting (3*26)/(4*26) simplifies to 78/104 to 3/4 which is the right ratio

Answer:

78 girls

Step-by-step explanation:

the person below me explained it

Solve write the differences 505-167=

Answers

Answer:

338 is the difference

Step-by-step explanation:

505-167=338

Final answer:

The difference between 505 and 167 is calculated using standard subtraction techniques, including borrowing, to arrive at a final answer of 338.

Explanation:

To solve the subtraction problem 505 - 167, we can use the standard algorithm for subtraction:

Start by writing the numbers vertically with the larger number on top:505- 167Subtract the rightmost digits: 5 - 7. Since 5 is less than 7, we need to borrow from the tens place.After borrowing, we have 15 - 7, which equals 8.Now, move on to the tens place. Remember, we borrowed 1 from here, so it's 0 now, not 1. 0 - 6 can't be done, so we borrow again from the hundreds place. It's now 10 - 6, which equals 4.Finally, in the hundreds place, we have 4 (since we borrowed 1) minus 1, which equals 3.Write down the results to get the final answer: 338.

The difference between 505 and 167 is 338.

Factor out a negative 1 from each expression. - 4 - (5 + 3)​

Answers

Answer:

-12

Step-by-step explanation:

-4-(5+3)

-4-(8)

-4-8

-12

-12 is the value of the expression  - 4 - (5 + 3)​.

What is Expression?

An expression is combination of variables, numbers and operators.

Given expression is -4-(5+3)

Minus four minus of five plus three.

In the given expression we have positive and negative signs which tells that there is addition and subtraction operations.

-4-(5+3)

Add the numbers in parenthesis

-4-8

Now we get -12

Hence, -12 is the value of the expression  - 4 - (5 + 3)​.

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Select factors of x^2-x-56

Answers

Answer:

Step-by-step explanation:

x² - x - 56 = x² - 8x  + 7x - 7*8

= x*(x - 8) + 7 (x - 8)

= (x - 8) (x + 7)

Which value below is included in the solution set for the inequality statement?
-3(x-4) > 6(x - 1)
3
-1
7
2

Answers

Option B:

–1 is the value included in the solution set

Solution:

Given inequality is –3(x – 4) > 6(x – 1).

⇒ –3x + 12 > 6x – 6

Add 3x on both sides of the expression.

⇒ –3x + 12 + 3x > 6x – 6 + 3x

⇒ 12 > 9x – 6

Add 6 on both sides of the expression.

⇒ 12 + 6 > 9x – 6 + 6

⇒ 18 > 9x

Divide by 9 on both sides of the expression.

⇒ 2 > x

⇒ x < 2

Therefore the solution set is x < 2.

In the given options 3 and 7 are greater than the solution set.

x < 2, so 2 is also not in the solution set.

–1 is the only value which is in the solution set x < 2.

Hence, –1 is the value included in the solution set.

What is often the overall goal of a statistical investigation?

Answers

The goal of a statistical investigation is to answer research questions by understanding phenomena through data analysis, which includes planning the study, examining the data with descriptive statistics, and making inferences to answer broader questions.

The overall goal of a statistical investigation is to understand phenomena and answer research questions using data. This involves several key components:

   

Ultimately, statistical investigations aim to use descriptive statistics and statistical inference to generate insights that can answer a wide range of research questions, especially when sophisticated numerical analysis is needed.

please tell me this equation y– 4 = 20 in words

Answers

Answer: A number decreased by 4 equals 20

explanation: Decreased represents 4 being subtracted from y.

A number represents y

Answer:

Step-by-step explanation:

y decreased by 4  equal 20

.or

4 subtracted from a number equals 20

9a-2b = -8
-7a + 3b = 12

Answers

9a-2b=-8.....1
-7a+3b=12.....2


So,
1 equation into 3 and 2 equation into 2.

Then,
18a-6b=-24
-14a+6b=24.


4a=0 a=0 .


Substitute a value in 2 equation.

b=4.



Hope it helped

A company produces three combinations of mixed vegetables that sell in​ 1-kg packages. Italian style combines 0.4

kg of​ zucchini, 0.3

kg of​ broccoli, and 0.3

kg of carrots. French style combines 0.5

kg of broccoli and 0.5

kg of carrots. Oriental style combines 0.2

kg of​ zucchini, 0.3

kg of​ broccoli, and 0.5

kg of carrots. The company has a stock of 17 comma 800

kg of​ zucchini, 28 comma 300

kg of​ broccoli, and 38 comma 900

kg of carrots. How many packages of each style should it prepare to use up existing​ supplies?

Answers

Answer:

Italian style = 18,000 packages

French style = 14,000 packages

Oriental style = 53,000 packages

Step-by-step explanation:

See the attached figure to represent the question

let the number of packages of Italian style = x

let the number of packages of French style = y

let the number of packages of Oriental style = z

Italian style ⇒ 0.4 kg of​ zucchini, 0.3 kg of​ broccoli, and 0.3 kg of carrots.

French style ⇒ 0.5 kg of broccoli and 0.5 kg of carrots.

Oriental style ⇒ 0.2 kg of​ zucchini, 0.3 kg of​ broccoli, and 0.5 kg of carrots.

The amount of zucchini ⇒ 17,800 = 0.4x + 0 * y + 0.2z

The amount of broccoli ⇒ 28,300 = 0.3x + 0.5y + 0.3z

The amount of carrots   ⇒ 38,900 = 0.3x + 0.5y + 0.5z

Solving the 3 equations together to find x , y and z

Using the calculator:

x = 18,000 ⇒ Italian style packages

y = 14,000 ⇒ French style packages

z = 53,000 ⇒ Oriental style packages

What happened to my first question posed last night?

Answers

What was the question

Answer:

it probably got deleted or you willl have to scroll a long way down to find it

Step-by-step explanation:

pleae mark brainliest just need 3 more

250 people went to party at 9pm. 70 people left at 11pm.how many couples remain at the party? ar

Answers

Answer:

The answer is that 90 couples remained at the party after 11 pm

Step-by-step explanation:

Number of people who went to the couples only party at 9 pm = 250

Number of people who left the party at 11 pm = 70

How many couples remained at the party?

People that remained at the party = 250 - 70 = 180

Couples that remained at the party = 125 - 35 = 90

The answer is that 90 couples remained at the party after 11 pm

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