You have two numbers. If you double the first number and add it to the second number, the sum is 10. An equation to represent this situation could be: 2x + y = 10 1) Plot at least five points on this coordinate plane that make the statement and your equation true. What do you notice about the points you have plotted? 2) Using a different color, plot 3 point in the same coordinate plane that do not make the equation true.

Answers

Answer 1

Answer:

(a) See attachment 1

All points lie on the same line

(b) See attachment 2

Step-by-step explanation:

Given

[tex]2x + y = 10[/tex]

Solving (a): Plot 5 points that make the equation, true

First, we calculate the points

Make y the subject

[tex]y = 10 - 2x[/tex]

[tex]x = 0 \to y = 10 - 2* 0 = 10[/tex]

[tex]x = 1 \to y = 10 - 2* 1 = 8[/tex]

[tex]x = 2 \to y = 10 - 2* 2 = 6[/tex]

[tex]x = 3 \to y = 10 - 2* 3 = 4[/tex]

[tex]x = 4 \to y = 10 - 2* 4 = 2[/tex]

So, we will plot the following points

[tex](0,10)\ (1,8)\ (2,6)\ (3,4)\ (4,2)[/tex]

See attachment 1

Notice that all points lie on the same line

Solving (b):

Point (5,7) does not make the equation true, and that is why it lies outside the line

See attachment 2

You Have Two Numbers. If You Double The First Number And Add It To The Second Number, The Sum Is 10.
You Have Two Numbers. If You Double The First Number And Add It To The Second Number, The Sum Is 10.

Related Questions

what is the answer of 0.08 divided by 48.86​

Answers

Answer:

610.75

Step-by-step explanation:

48.86 divided by 0.08

PLZ HELP I HAVE NO CLUE WHAT TO DO

Answers

Answer:

P =  10.6 sq units  

A =  12.5 sq units

Step-by-step explanation:

Q3. a. Simplify the following ratios.
360:120:60

Answers

Answer:

6:2:1

Step-by-step explanation:

360÷60=6

120÷60=2

60÷60=1

a) What type of triangle is triangle ABC? b) Give reasons for your answer. I need the correct answer for B with Reasons Not "ab and ac are the same" any word other than the same ​

Answers

Answer:

Δ ABC is isosceles

Step-by-step explanation:

∠ ABC and ∠ BCE are alternate angles and are congruent , that is

∠ BCE = ∠ ABC = 80°

since DE id a straight line then the angles lying on it sum to 180° , that is

∠ ACD + ∠ ACB + ∠ BCE = 180°

50° + ∠ ACB + 80° = 180°

∠ ACB + 130° = 180° ( subtract 130° from both sides )

∠ ACB = 50°

∠ BAC and ∠ ACD are alternate angles and are congruent , that is

∠ BAC = 50°

then

∠ BAC = ∠ ACB = 50°

Since the 2 base angles are congruent then Δ ABC is isosceles

The area of a trapezoid is found using
the formula A=12 h(b1+b2), where A is
the area, h is the height, and b1 and
b2are the lengths of the bases. What
is the area of a trapezoid with the
height of 12, b = x +1, and b = x + 3?

Answers

Answer:

288x+576

Step-by-step explanation:

A=12×h(b1+b2)

A=12×12(x+1+x+3)

A=144(2x+4)

A=288x+576

In order for a triangle to shrink in size but stay proportional to its original size, the scale factor, K, must be between
zero and what?

Answers

In order for a triangle to shrink in size but stay proportional to its original size, the scale factor, K, must be between zero and one.

What is scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

In order for a triangle to shrink in size but stay proportional to its original size, the scale factor, K, must be between zero and 1.

The image is contracted if the scale factor is less than 1 (0< k <1).

The image is enlarged if the scale factor is more than 1 (k > 1).

The image remains the same if the scale factor is 1 (k = 1).

Hence, the scale factor k should be between 0 and 1.

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which is greater? 1.646 or 1.43?

Answers

Answer:

1.646 > 1.43

hope this helped

> = greater

Step-by-step explanation:

Answer:

1.646 i think-

Step-by-step explanation:

The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x

Answers

Answer:

85.1 ft

Step-by-step explanation:

The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x

We solve using the Trigonometric function of Cosine

cos y = adjacent/hypotenuse

y = angle = 20°

Adjacent = 80 ft

Hypotenuse = ?

cos 20 = 80/Hypotenuse

Hypotenuse = 80/cos 20

x = 85.134221798 ft

Approximately = 85.1 ft

Length of the slide = 85.1 ft

If 27³+27³+27³=27x,what is the value of x?

Answers

Answer:

x = 2,187

Step-by-step explanation:

27×27×27+27×27×27+27×27×27 =27x

19,683+19,683+19,683 =27x

59,049 = 27x

divide both sides by the coefficient of x ( 27 )

59,049 / 27 = 27x / 27

x = 2,187

2,187

simplify (27^3)3

There are 30 drummers competing in the Battle of the Bands this year. Next year, 5 of the drummers will leave and some new drummers will join the competition. If d is the number of drummers who will join the competition, which expression(s) represent the number of drummers in the competition next year.

Answers

Answer: 25 + d

Step-by-step explanation:

Since there are 30 drummers competing in the Battle of the Bands this year and, 5 of the drummers will leave the following year, the number of drummers left will be gotten by the expression:

= 30 - 5

If If d is the number of drummers who will then join the competition, therefore, the expression that represent the number of drummers in the competition next year will be gotten as:

= 30 - 5 + d

= 25 + d

Therefore, the expression is 25+d.

Clare made an error when solving -4x+3<23−4x+3<23.

Answers

The solution of the inequality is,

⇒ x > - 5

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 4x + 3 < 23

Now,

Since, The inequality is,

⇒ - 4x + 3 < 23

Solve as;

⇒ - 4x < 23 - 3

⇒ - 4x < 20

⇒ - x < 5

⇒ x > - 5

Thus, The solution is,

⇒ x > - 5

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The base of an isosceles triangle is 7cm long. Each of the other sides is x cm long. What will be the expression for its perimeter?

Answers

Answer:

P = 2x + 7

Step-by-step explanation:

Use the distributive property to fill in the blanks below. I need help on this, it's for a grade and this is my last day of school :| please help me!

Answers

Answer:

[tex]9*(6-5) = (9*6)-(9-5)[/tex]

Step-by-step explanation:

I can't really explain, but the disturbitive property opens brackets.

You multiply the number on the outside by each of the numbers on the inside, and use the symbol in the center to do stuff between the two products.

That's probably really confusing but whatever.

Required:

a. For the balance sheet, identify how each transaction affects total assets, total liabilities, and total equity. For the income statement, identify how each transaction affects net income.

b. For the statement of cash flows, identify how each transaction affects cash flows from operating activities, cash flows from investing activities, and cash flows from financing activities.


WHAT AM I MISSING?!?!

Answers

The answers for the two questions is described below:

a. The balance sheet is a financial statement that shows a company's assets, liabilities, and equity at a specific point in time. Each transaction will affect one or more of these categories in different ways:

An increase in assets will increase total assets.

An increase in liabilities will increase total liabilities.

An increase in equity will increase total equity.

The income statement is a financial statement that shows a company's revenues, expenses, and net income over a specific period of time. Each transaction will affect net income in different ways:

An increase in revenues will increase net income.

An increase in expenses will decrease net income.

b. The statement of cash flows is a financial statement that shows the cash flows from operating activities, investing activities, and financing activities over a specific period of time. Each transaction will affect one or more of these categories in different ways:

An increase in cash from operating activities will increase cash flows from operating activities.

An increase in cash from investing activities will increase cash flows from investing activities.

An increase in cash from financing activities will increase cash flows from financing activities.

It is important to note that it can be complex to classify some transactions into one category or another, and it may require more context of the specific transaction and the company's operations.

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At summer camp this year, Clare is leading the beadwork class. Each of the 9 craft tables has a bucket of beads. The graph shows the weight of the beads in each bucket.
If Clare distributes all of the beads equally among the 9 buckets, how much will the beads in each bucket weigh?

Answers

The beads in each bucket will weigh 1 pound

How to determine the  weight of the beads in each bucket?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

From the graph, we have weights of 0, 1/2, 1 1/2 and 2 pounds.

In order for Clare to distributes all of the beads equally among the buckets, she need to add up weight of the beads and divide by 5.

weight in each bucket = (0 + 1/2 + 1 1/2 + 2)/5 = 5/5 = 1 pound

Thus, each bucket weighs 1 pound

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For each condition, make up a different equation for a quadratic function that meets the condition. Use whatever form is most conventions.

1. Has vertex at (-2,-5)

2. Has a y-intercept at (0,6)

3. Goes through the points (4,2) and (1,2)

Answers

y=­−12(x+4)(x−1) A quadratic function that satisfies the requirement and passes through the points (4, 2) and has the equation +2 (1,2) .

what is equation ?

A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.

given

a )a vertex at (­−2,−­5) :

y=[tex](x+2)^{2}[/tex]−5

y=­−[tex](x+2)^{2}[/tex]−5

y=3[tex](x+2)^{2}[/tex]−5

b) a y-­intercept of (0,−­6) :

y=[tex]x^{2}[/tex]−6

y=[tex]x^{2}[/tex]+13x−6

y=2[tex]x^{2}[/tex]−6

c)  the points (−­4,2) and (1,2):

y=(x+4)(x−1)+2

y=2(x+4)(x−1)+2

y=­−12(x+4)(x−1)+2

y=­−12(x+4)(x−1) A quadratic function that satisfies the requirement and passes through the points (4, 2) and has the equation +2 (1,2).

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What is the sign of 4.3•(-3.2)•0?

Answers

Answer:

no sign (not positive or negative)

Step-by-step explanation:

The value of the expression

4.3 ⋅ (-3.2) ⋅ 0

is 0, as the value of any number multiplied by zero is 0.

The number zero is neither positive or negative; hence there is no sign.

Is the correct answer for S is AB and DE?

Look at the picture

Answers

Answer:

Side AB congruent to side DE

( being the side joining two congruent angles)

Probability results can be _________.
a. between 0 and 1 inclusive
b. expressed as a decimal
c. greater than 1, just like fractions and decimals d. None of these statements are true.

Answers

Answer:

it's either a win or lose

A study by the department of education of a certain state was trying to determine the
mean SAT scores of the graduating high school seniors. The study found a confidence
interval for the mean score to be between 440 and 472. What is the margin of error
on the survey? Do not write on the margin of error.

Answers

Margin of error = 16

Explanation:

The confidence interval spans from 440 to 472. This is a width of 472-440 = 32 units. It divides in half to get 32/2 = 16. We can think of this as the "radius" of the confidence interval, and it represents the margin of error. It's the distance from the center to either endpoint of the interval.

Side note: use the midpoint formula to determine the center.

i need help asap!! please help

Answers

For stuff like this you have to simplify the equation and solve for x.

But since its multiple choice you can just plug in each answer until it makes the equation true.

So here are the equations with n substituted in:

8(8+1)+3=45

7(7+1)+3=45

6(6+1)+3=45

5(5+1)+3=45

Now simplify:

8(8+1)+3=45   becomes  72+3 = 45

6(6+1)+3=45   becomes 42+3=45

5(5+1)+3=45   becomes 30+3=45

Its easiest to start with the highest option given and then go down. Because 8 is already way to high you could skip doing the math for 7 and go straight to 5 and 6.

42+3=45 becomes 45=45

30+3=45 becomes 33=45

So 6 makes this statement true.

After awhile its easy to gauge what numbers will come out to be, so you don't have to do the math for each answer.

Direction: Choose the letter of the correct answer and encircle the letter that corresponds to it.
1. The measures of two angles of a quadrilateral are 100° and 130°. If the other two angles are
congruent, find the measure of each angle.
A. 50° B. 55° C. 60° D. 65°
2. If the sum of the measures of the interior angles of a regular polygon is 9 000°, how many sides
does it have?
A. 50 sides B. 51 sides C. 52 sides D. 53 sides
3. The measure of the exterior angle of a regular polygon is 20°. How many sides does it have?
A. 12 sides B. 14 sides C. 16 sides D. 18 sides
4. The measures of the exterior angles of an octagon are m°, 2m°, 3m°, 4m°, 5m°, 6m°, 7m°, and 8m°.
What is the value of m?
A. 9 B. 10 C. 11 D. 12
MATH 7 QUARTER 3 Week 6
MATH 7 QUARTER 3 WEEK 6 Page 2 | 7
5. Three angles of a pentagon are 105°, 135° and 120°. Find the other two angles if they are in the
ratio 2:3.
A. 72° and 108° B. 72° and 109° C. 73° and 108° D. 73° and 109°

Answers

Answer:

1) D =65

2) C = 52

3) D =18

4) B =10

5) A = 72 and 108

Step-by-step explanation:

1) D =65

2) C = 52

3) D =18

4) B =10

5) A = 72 and 108

Suppose the dimensions of a rectangular pyramid are doubled. How does this affect its volume?

The volume is 4 times the original volume.

The volume is 2 times the original volume.

The volume is 9 times the original volume.

The volume is 8 times the original volume.

Answers

Answer:

I think its 2 times the original volume, im so sorry if im wrong!!

Step-by-step explanation:

Edit: I thought it was two but i guess it was 4, heres the real answer for people who were wondering, im so sorry!!

PLLLLZZZZ HEEELLPP MEEE!!!!!!
Consider a triangle where all three sides are known, but no angles are known. Is there enough information to find all the angles in the triangle using only the law of sines?
A) True
B) False

Answers

Answer:

maybe false

have a great day

true

Explanation:

you can use a2 +b2=c2 to find it

HELP!!! this is graded and no links plzzzzz!!!!!

Answers

Answer:

88cm^2

Step-by-step explanation:

Area of the rectangle: base x height

Area of parallelogram: base x height

Area of the shaded part: area of rectangle -area of parallelogram:

12x10-4x8=120-32=88

Please help me find the shaded area!

Answers

Answer:

216

Step-by-step explanation:

first multiply 4by6 to get that area we will call that a

then 12 by 20 to get that area we will call that b

the shaded area is a's area minus B's area

(12*20)-(4*6)

240-24

216

Answer:

216 in²

Step-by-step explanation:

(12)(20) - (4)(6) = 240 - 24 = 216

The drama club put on the play, “The wizard of Oz.” There were student tickets and adult tickets. There were 150 tickets sold to the play. Student tickets cost $3 per ticket, and adult tickets cost $5 per ticket. If the total sales were $580, how many student tickets and how many adult tickets were sold to the play? Use system of equations to solve.

Answers

On solving the provided question, we can say that - by the help of the unitary method 150* 3 = $450

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

so, we have

There were  = 150 tickets sold to the play

Student tickets cost $3 per ticket

so, total will be = 150* 3 = $450

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what's the correct option? i'm stuck

Answers

Answer:

g

Step-by-step explanation:  it is basically the same problem with the  opisate meaning

Describe a sequence of transformation that maps DOG onto CAT

Answers

Sequence of transformation is first moving 5 unit in y axis than mirror image  with y axis.

What would you say about the order of the transformations?

A particular order of transformational events is referred to as a transformational sequence. This indicates that more than one transformation is handled by a series of transformations, and the order in which they happen is important.

What kind of figure can a series of transformations map onto itself?

The line of reflection must pass through the centre point for the figure to map onto itself. The sides of the figure are cut by two lines of reflection. The vertices of the figure are intersected by two lines of reflection. As a result, there are four potential lines of reflection that pass through the center.

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5) If it takes 4 men 6 hours to repair a road, how long will it take 7 men to do the job if they work at the same rate

Answers

By fraction , 3  3/7   will it take 7 men to do the job if they work at the same rate.

What is fraction in maths?

In mathematics, the portion or component of the complete item is represented by a fraction. It stands for the proportionate pieces of the whole.

                The denominator and numerator are the two components of a fraction. The top number is referred to as the numerator, and the bottom number is referred to as the denominator.

per person per hour

           1/4*6  = 1/24

7 men per hour

       1/24 * 7 =   7/24

  total times

          1 ÷ 7/24  =  1   *  24/7  

                   =  3  3/7

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