TERM 2: WEEK 8
CLASSWORK 1
1.
Solve the simultaneous equations using elimination method​
4x - 3y = 1
x + 3y = 19c
a.​

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

We notice that the coefficients of y are opposites, so we can eliminate y by adding the two equations together.

  (4x -3y) +(x +3y) = (1) +(19)

  5x = 20 . . . . . . simplify

  x = 4 . . . . . . . . .divide by 5

Substituting into the second equation gives ...

  4 +3y = 19

  3y = 15 . . . . . . . subtract 4

  y = 5 . . . . . . . . . divide by 3

The solution is (x, y) = (4, 5).


Related Questions

Which transformations will map the figure onto itself?
a. reflection across one of the lines of symmetry of the figure.
b. rotation of 180 degrees about the center of the figure.
c. translation of two units to the left and two units down.
d. rotation of 90 degrees about the center of the figure.

Answers

Answer:

a. reflection across one of the lines of symmetry of the figure.

Step-by-step explanation:

Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year, how much did the tree grow per year.

A. 1/5 foot

B. 1/3 foot

C. 3/5 foot

D. 2/3 foot

Answers

Answer:

D. 2/3 per year.

Step-by-step explanation:

3 1

3

÷ 5

=  

10

3

÷ 5

=  

10

3

×  

1

5

=  

10 × 1

3 × 5

=  

10

15

=  

10 ÷ 5

15 ÷ 5

=  

2

3

What is the measure of BPC?

Answers

Answer:

[tex]\angle BPC=100^{\circ}[/tex]

Step-by-step explanation:

Assuming P is the center of the circle:

The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]

The table represents a proportional relationship. Complete the table and write an equation that describes the relationship

Answers

Answer:

Which table?

There's non

Can you post the table.

Question 1 of 10
Which best describes the meaning of the statement "If A, then B?
A. If A is false, then B must be false.
B. If A is false, then B might be false.
ОО ОО
C. If A is true, then B might be true.
D. If A is true, then B must be true.
SUBMIT

Answers

Answer:

I believe it would be D

Step-by-step explanation:

Since it implies that if A is true, then B is true, it would be D.

"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.

Hence my choice of D.

What is 3x73 I need some help.

Answers

Answer:

219

Step-by-step explanation:

The answer to your problem is 219

Six chicken nuggets have 204 calories. How many calories are in 9 chicken nuggets

Answers

Answer:

306 calories

Step-by-step explanation:

By looking at the problem, we can conclude the number of chicken nuggets and the calories are directly related, when the amount of chicken nuggets go up, the calories also go up, proportionally. Because of this, we can set up an equation:

6 / 204 = 9 / x

Where x is the amount of calories in 9 chicken nuggets.

Now, we can simplify by cross multiplying:

6x = 1836

x = 306 calories

Answer:

306 calories

Step-by-step explanation:

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8. If they have three children, what is the probability that exactly two of their three children will have that trait? Round your answer to the nearest thousandth

Answers

Answer:

0.384 = 38.4% probability that exactly two of their three children will have that trait.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have the trait, or they do not. The probability of a child having the trait is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8.

This means that [tex]p = 0.8[/tex]

Three children:

This means that [tex]n = 3[/tex]

What is the probability that exactly two of their three children will have that trait?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{3,2}.(0.8)^{2}.(0.2)^{1} = 0.384[/tex]

0.384 = 38.4% probability that exactly two of their three children will have that trait.

Nikki had swim practice 4 days this
week. She swam 425 yards Monday and
450 yards Tuesday. She swam 100 less
yards Wednesday than she did Tuesday.
If Nikki swam 1,600 yards in all, how
many yards did she swim on Thursday?

Answers

Nikki swam 375 yards on Thursday.
425+450+350= 1,225
1,600- 1,225= 375

Nikki swam 375 yards on Thursday.

what is addition?

One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.

Given

Nikki swam 375 yards on Thursday.

425+450+350= 1,225

1,600- 1,225= 375

To learn more about addition refer to:

https://brainly.com/question/4721701

#SPJ2

help(I need this to pass 6th)

Answers

Answer:

It is going to be the first one


HELPP!!!! ASAPfknfkdkcmf

Answers

Answer: A im pretty sure

Answer:

c

you can do this brooo(θ‿θ)(θ‿θ)(θ‿θ)

A biased 4-sided dice is rolled. possible scores are 1,2,3 or 4. The probability of rolling a 1,3 or 4 is shown below. what is the probability of rolling a 2?

Answers

Answer:

0.2

Step-by-step explanation:

A probability is always out of 100% (which also means out of 1)

So the probability that the dice rolls a 1 is 0.15/1, the probability it rolls a 3 is 0.3/1 and the probability it rolls a 4 is 0.35/1. The probability it rolls a 2 is x/1 where x is what we're looking for. If you add all the probabilities up you should have 1 in total. So 0.15 + x + 0.3 + 0.35 = 1

So to find the missing one you need to subtract all the probabilities you know from 1:

1 - 0.15 - 0.3 - 0.35 = 0.2

The probability of the die rolling 2 is 0.2

What is probability?

Probability is a measure of the likelihood of an event occurring. The probability of all the events in a sample space adds up to 1.

Given here the probabilities are 0.15,0.3, 0.35

since the probabilities, all add upto 1

therefore P(2) = 1-(0.15+0.3+0.35)

                       = 0.2

Hence the probability that the die will roll 2 is 0.2

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

Solve: 4 (x + 2.5) = 48

Answers

Answer:x=19/2

Step-by-step explanation:

4(x+2.5)=48

Step 1: Simplify both sides of the equation.

4(x+2.5)=48

(4)(x)+(4)(2.5)=48(Distribute)

4x+10=48

Step 2: Subtract 10 from both sides.

4x+10−10=48−10

4x=38

Step 3: Divide both sides by 4. 4x/4 = 38/4 = 19/2

Answer:

4(x + 2.5) = 48.

4x + 4 x 2.5 = 48.

4x + 10 = 48.

4x + 10 -10 = 48 -10

4x = 38

Divide both sides by 4.

X = 9.5.

X = 10 if approximated.

Part 1 l: Jose and Tamika are married with three children . If they decided to combine their income taxes and complete one tax form , what is their filing status ? . Part 2: Jose makes $54,923 and Tamika has an earned income of $49,500 for the year. Using your answer from part 1 how much will they owe in taxes?

Answers

Answer:

that is you ni report kits

Please help me answer/figure this out please. No links

Answers

Answer c 12xy^2
Process
=12x^2y^3 + 24xy^2
=12xy^2(xy+2)
So common factors is 12xy^2

Write a equation that will represent the information.

Answers

Answer:

consider r to be x. and t to be y

[tex]consider : (0, 5) \: and \: (1, 3) \\ gradient = \frac{(3 - 5)}{(1 - 0)} \\ = - 2 \\ y = mx + c \\ consinder : (1, 3) \\ 3 = ( - 2 \times 1) + c \\ c = 5 \\ therefore : equation \: is \\ = > y + 2x - 5 = 0[/tex]

Which angle measure is equivalent to the angle 17π/4
A. 45 degrees
B. 135 degrees
C. 230 degrees
D. 315 degrees

Answers

Answer:

A is correct

Step-by-step explanation:

17*180=3060

3060/4= 765

765-360=405-360=45

7x+8y= 8

Slope

Y intercept

Answers

Answer:

Slope = -7/8

Y-intercept = (0, 1)

Step-by-step explanation:

Answer:

[tex]slope = - \frac{7}{8} [/tex]

y- intercept= 1

Step-by-step explanation:

Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.

7x +8y= 8

8y= -7x +8

Divide by 8 on both sides:

[tex]y = - \frac{7}{8} x + 1[/tex]

Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.

Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.

7x +8y= 8

When x= 0,

7(0) +8y= 8

8y= 8

y= 8 ÷8

y= 1

Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).

Note: slope and gradient have the same meaning and can be used interchangeably

Figure A maps to figure B with a scale factor of 0.25​

Answers

Answer:

x would be 6

Step-by-step explanation:

This is becuase since the scale factor from Fig A to B is 0.25, the length of all of the sides follows this rule.

Since x on Fig A and 1.5 on Fig B are corresponding sides, you can do:

x * 0.25 = 1.5

x * 0.25 (4) = 1.5 (4)

x * 1 =6

x = 6

Using the picture above Find the measure of arc EF

Answers

Given:

Measure of arc CG is 125 degrees.

The measure of angle CDG is 85 degrees.

To find:

The measure of arc EF.

Solution:

Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using the intersecting chords theorem, we get

[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]

Let x degrees be the measure of arc EF.

Substituting the given values, we get

[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]

[tex]2\times 85^\circ=125^\circ+x[/tex]

[tex]170^\circ -125^\circ=x[/tex]

[tex]45^\circ=x[/tex]

Therefore, the measure of arc EF is [tex]45^\circ[/tex].

please i need help fast with explantion

Answers

9514 1404 393

Answer:

  60°

Step-by-step explanation:

You recognize the ratio of the long side to the short side as 2 : 1, so you know this is the 1 : √3 : 2 "special" triangle that has angles 30°, 60°, 90°. The angle of interest is opposite the longer side, so is the 60° angle.

  x° = 60°

_____

In case you don't remember the "special" 30-60-90 and 45-45-90 right triangles, you can use the relevant trig function:

  Cos = Adjacent/Hypotenuse

  cos(x°) = 16/32 = 1/2

  x° = arccos(1/2)

  x° = 60°

Please someone please helps me with this question pls

Answers

I think it is y = -4x + 3

Which describes the relationship between EG and DF 2 Select all that apply.
ty
F
E
21
ס
o
2
4
A
perpendicular
B bisect each other
C. parallel
D. congruent

Answers

Answer:

A  perpendicular

B bisect each other  

D. congruent

Step-by-step explanation:

Given

Attached quadrilateral

Required

Relationship between EG and DF

First, we have that: DEFG is a square

EG and DF are diagonals

Using the property of diagonals of a square, we have:

EG and DF to be perpendicular

EG and DF to be congruent

EG and DF to be bisect each other

A regular hexagon has a perimeter of 127 m. Find its area to the nearest tenth.

Answers

Answer:

1164.01

Step-by-step explanation:

First you realize there is 6 sides on a hexagon. Then, you divide the 127 by 6. Then you split the hexagons into 6 parts. This leads you to a triangle. Then if you divide the degrees so 360 total degrees/6 parts = 60. If you split that triangle in half, the angle becomes 30 degrees. Then you will realize the 30 degree is pointed at the 127/12. Because you know the x, (x)(Square root 3), 2x theorem (the 30, 60, 90 triangle), you get the height of the triangle which is about 18.33 . Then you do the area of Triangle = 1/2 * base * height. Therefore you should get 194.00 Because there is 6 parts to a hexagon, you then need to multiply by 6. Your final answer should be 1164.01. This should be correct, please correct me if I’m wrong, thanks.

What is the simplified form of the expression?

Answers

Answer:

4 sqaure root 24x^3/ 2x

Step-by-step explanation:

See steps below:)

VERY URGENT PLEASE HELP!!!!

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $59,904. The variable costs will be $9.25 per book. The publisher will sell the finished product to bookstores at a price of $22.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

Answer:

4608

Step-by-step explanation:

Can someone tell me the answer

Answers

Answer:

-3

Step-by-step explanation:

(-6)/(+2)

-6/+2

-3

Answer:

C. -3

Step-by-step explanation:

If you have a negative and a positive number the outcome will always be negative. So you just simply take 6 and take half of it which is 3. if you divide something by 2 you are just splitting it in half.

PLEASE ANSWER ASAPP!!!

For what value of y must LMNP be a​ parallelogram?

Answers

Answer:

113° = y

Step-by-step explanation:

y = 180 - 67

y = 113°

Hope this helps!

the answer is 113°

the angles are supplementary

Why are both of the answers to the last question correct?

the answer is : An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.

Answers

Answer:

An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.

Step-by-step explanation:

Answer:

An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.

Step-by-step explanation:

Find the measure of angle x

Answers

Answer:

Angle x would be equal to the sum of its two opposite angle

x= 47 + 110

x= 157°

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