Hannah needs two 2/3 -footboards and one 1 1/2-footboard for a woodshop project. For each question below, write your answer as a mixed number in the simplest form and show all work needed to support your answer.
• What is the total length of board that Hannah needs?

• If Hannah cuts the pieces she needs from a 6-foot board, what is the length of the board that will be leftover?

• How many woodshop projects can Hannah make from a 6-foot board?

∠1 and ∠4 are corresponding angles has the same shape and size. ∠1 and ∠3 are diagonal from each other and ∠15 and ∠9 make a straight line.

Parallel lines represent coplanar endless straight lines in geometry that never intersect. Within a single three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Euclid's parallel postulate deals with parallel lines. Euclidean geometry is indeed a particular example of this sort of geometry, and parallelism is essentially a feature of affine geometries.

∠1 and ∠4 are corresponding angles has the same shape and size

∠1 and ∠3 are diagonal from each other

∠15 and ∠9 make a straight line

Therefore, ∠1 and ∠4 are corresponding angles has the same shape and size. ∠1 and ∠3 are diagonal from each other and ∠15 and ∠9 make a straight line.

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your welcome and pls give me the brainliest

Let's simplify these ratios:-

1. 3:9

Divide both sides by 3:-

1:3

 2. 9:27

Divide both sides by 9:-

1:3

  3. 2:4

Divide both sides by 2:-

1:2 (Option C)

 4. 30:90

Divide both sides by 30:-

1:3

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

angle 2=120°

angle 1=60

Step-by-step explanation:

70+50=120

or

180-(70+50)=60

angles on a straight line add up to 180°

180-60=120

Answer:

2,379 & look below for remaining numbers

Step-by-step explanation:

The divisor 4 goes to the left of the whole box, because you are dividing all the numbers by 4.

So for the last box, 4 x 9 = 36

For the top of the 3rd box, it's 4 x ? = 280, so you do 280 divided by 4 = 70

For the 2nd box, 4 x 300 = 1200

For the 1st box, I did the problem of 9516 divided by 4 in long division form.  4 goes into 9 only 2 times & the 2 is in the thousands place.  So on top of the 1st box goes 2,000 & in the box goes 4 x 2,000 = 8,000.

Add 8,000 + 1,200 + 70 + 36 = 9,516

9,516 divided by 4 = 2,379

2,000 + 300 + 70 +  9 = 2,379

Step-by-step explanation:

According to picture we can see

The opposite angles formed by two intersecting  lines

The angles forming a right angle

The angles forming a straight line

Step-by-step explanation:

let E be weight of expensive nuts, C be cheaper nuts

E*8+C*5=10*6 value equation

E+C=10 mass equation

Solve it by any method, I will do determinants

Det: 8-5=3

E= (60-50)/3=10/3 =3.33 lb

C= 80-60 /3=20/3 =6.66 lb

Answer:

mix nuts 20/3

nuts 10/3=

Step-by-step explanation:

x+y=10

5x+8y=60

Answer:

Yes, I think that is the right answer.

Step-by-step explanation:

Answer:

The values that are in the correct spots are: 82, 62, 163 and 300

Step-by-step explanation:

There are 144 boys in total. We know that 82 attended the fall fling, so if we do 144-82 we know that 62 boys attended the spring social, therefore the vaules 82 and 62 are in the correct spots. We know that out of 156 girls, 75 attended the spring social. 156-75=81. The values 75 and 81 are in the wrong spots, therefore they are not correct.

82 boys + 81 girls at the fall fling = 163 total students at the fall fling, therefore 163 is also in the correct spot.

62 boys + 81 girls at the spring social = a total of 137. The chart says the total is 143 which is incorrect.

156 total boys plus 144 total girls = 300 total students, therefore 300 is in the correct spot.

Answer:

The values that are in the correct spots are: 82, 62, 163 and 300

Step-by-step explanation:

The simple answer

Answer:

is 214

Step-by-step explanation:

1. find the there side of outside, which are 6,7 and 5. 2 you have to multiplay 6x5, 7x5 6x7. 3 you got to add all, so is 107, however you have to multiplay by 2, so the answer is 214

Answer: B) Michiko is right for this system of linear equations, and her method will also work for other systems of linear equations

Hope this helped

Michiko is right for this system of linear equations, but her method will not work for other systems of linear equations, option A is correct.

Two or more expressions with an Equal sign is called as Equation.

To solve the system of linear equations 15x + 8y = 1 and 21x + 4y = -13, Michiko suggests multiplying the second equation by 2 and then subtracting the second equation from the first equation.

Multiplying the second equation by 2 gives:

42x + 8y = -26

Now, subtracting the second equation from the first equation gives:

15x + 8y - (42x + 8y) = 1 - (-26)

Simplifying this equation gives:

-27x = 27

Divide both sides by 27

x=-1

we can substitute x = -1 into either of the original equations.

Using the first equation, we get:

15(-1) + 8y = 1

Simplifying this equation gives:

8y = 16

Dividing both sides by 8 gives:

y = 2

Hence, Michiko is right for this system of linear equations, but her method will not work for other systems of linear equations, option A is correct.

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Answer:

10

Step-by-step explanation:

The current probability of picking a red ball is [tex]\frac{x}{15}[/tex]. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:

[tex]\frac{x+5}{15+5} = \frac{3}{4}[/tex]

When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).

60 = 4x + 20

40 = 4x

x = 10 red balls

Answer:

it should be -7

Step-by-step explanation:

-13-2=-15

-15 add 8 = -7

hope this helps.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - \frac{4}{3} x < - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: - x < - 8 \times \frac{3}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - x < - 2 \times 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - x < - 6[/tex]

Multiply both sides by -1, hence inequality changes

[tex]\qquad \sf  \dashrightarrow \:x > 6[/tex]

Answer:

6

Step-by-step explanation:

Answer:

sorry but what do i answer

Answer:

d

Step-by-step explanation:

Answer:

I would say 80 pounds worth of tennis and ping pong equipment  

Step-by-step explanation:

8lbs+72lbs=80lbs

first I start with 1 and multiply 2 =2 and add 1 =3

so on

start with 40 divided by 2 =20+4=24

The sum total of the sequence would be 45, using the two steps given.

This refers to the use of mathematics to solve equations and letters represent numbers.

Although your sequence is incomplete because it only gave two steps, I would work with only those steps.

Hence, if the first number is 1,

Multiply by 2, 1 x 2= 2

DIvide by 2, 2/2= 1

Add 4, starting from 40.

1+44= 45.

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Answer:

11x11= 1

1/2x11x10x4

=220

121+220=341

Answer:

x=5

Step-by-step explanation:

<=>12x-4x=32+8<=>8x=40<=>x=40/8=5

Answer:

d

Step-by-step explanation:

because it tells you how to do it in the equation.

Answer:

B, C, and E

The reason B, C, and E are the answer's is because the equation of a linear equation is y= mx+b. B, C, and E are written this way. We can eliminate A and D because They are quadratic equations, because the X is squared.

Hope This Helps! :) Please mark brainliest!

455.8125      or      [tex]\sf 455\frac{13}{16}[/tex]

follow the BODMAS rule:

Let's start!

(1+20-9/32)*((2+5)2+16/2)

remove brackets

(1+20-9/32)*(7*2+16/2)

division

(1+20-0.28125)*(7*2+8)

multiplication

(1+20-0.28125)*(14+8)

addition

(21-0.28125)*(22)

subtraction

(20.71875)*(22)

simplify

[tex]\sf 455.8125 \ \ \ or \ \ 455\dfrac{13}{16}[/tex]

Answer:

7293/16 or 455 13/16

Step-by-step explanation:

To solve this problem, we need to remember the BPEMDAS.

Where:

Solving the expression using PEMDAS:

[tex]\huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(}[2+5]2+\dfrac{16}{2} \huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(}[7]2+\dfrac{16}{2} \huge{\text{)}[/tex]                                          [Brackets]

[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 7\times 2+\dfrac{16}{2} \huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 14+\dfrac{16}{2} \huge{\text{)}[/tex]                             [Parenthesis multiplication]

[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 14+8\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}\dfrac{160}{160} +\dfrac{3200}{160} -\dfrac{45}{160}\huge{\text{)} \times \huge{\text{(} 22\huge{\text{)}[/tex]                                    [Parenthesis Add]

[tex]\rightarrow \huge{\text{(}\dfrac{3315}{160}\huge{\text{)} \times \huge{\text{(} 22\huge{\text{)}[/tex]                                                [Parenthesis Add/Subtract]

[tex]\rightarrow \dfrac{3315}{80} \times 11 = \dfrac{663}{16} \times 11[/tex]                

[tex]\rightarrow \dfrac{7293}{16}[/tex]                                                                            [Multiplication]    

To avoid confusion, let's convert the fraction into mixed fraction. Refer to image attached.

Answer:

50⁰

Step-by-step explanation:

we know that sum of angles in a triangle is equal to 180⁰

on adding the angles we get

x⁰+x⁰+20⁰+x⁰+70⁰=180⁰

3x⁰+90⁰=180⁰

3x⁰=90⁰

x⁰=30⁰

Now angle R=x+20=30+20=50⁰

Answer is 50⁰

I HOPE IT HELPED YOU

Answer:

50 degrees

Step-by-step explanation:

Answer:

y = -5x - 3

Step-by-step explanation:

To answer this the slope must be clculated first

slope equation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

these variables symbolize ordered pairs, and the best part is that you can use any two ordered pairs for this example we can use (-5, 10) and (-3,0)

we'll call the first ordered pair 1 so x1 = -5 and y1 = 10.

the next odered pair is 2 so x2 = -3 and y2 = 0.

With this information layed out we can solve:

[tex]\frac{0-10}{-3-(-5)}[/tex]

0 - 10 = -10

-3 - (-5) = 2 --- remember negatives cancel each other out to make a positive

[tex]\frac{-10}{2}[/tex] = -5

the slope of the line is -5. Now the next thing to note is that one of the ordered pair (-3,0) is a y intercept. It's time to introduce the equatione of a line:

y = mx+b

There are other equations that can be used for a line but with the info given this equation best suits the data.

m = slope

y and x = are the ordered pair you can input into the equation to slove

b = the y intercept

So the equation would be:

y = -5x - 3

Answer:

4. 30 ft

5. 4 m

6. 32 mm

Step-by-step explanation:

diameter= radius x 2

Answer:

a - 30.5

b - 31

c - 31

d - 2

Step-by-step explanation:

Mean is average:

31,29,31,30,31,30,31,31,30,31,30,31

366/12

30.5

Median is the middle of the data points.

Line data points up in order from least to greatest.

29,30,30,30,30,31,31,31,31,31,31,31

12/2=6

Since there is an even amount data points the median is the mean of the two middle data points:

Middle data points: 31,31

31

Mode is the most common data point.

It would be 31.

Range is highest point subtracted by lowest point.

31-29=2

Answer:

Draw an open circle on 2 and continue the arrow left.

Step-by-step explanation:

Answer:

x < 2

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

It’s the real numbers closer 0 then they are at 4.