Simplify this expression

Answer:

Step-by-step explanation:

y - 4 = 1/4(x - 8)

y -4 = 1/4x - 2

y = 1/4x + 2

Answer:

4 an 15

Step-by-step explanation:

The two integers whose sum is 19 and the larger of the two numbers is 3 more than 3 times the smaller integer are 4 and 15 respectively.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The smaller interger be 'x'.

So, The larger integer is 3x + 3.

Given, The sum of two integers is 19.

Therefore, x + 3x + 3 = 19.

x + 3x + 3 = 19.

4x = 16.

x = 4, Hence the larger integer is 15.

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Answer:

SSS Theorem

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

They share a side so that's the third side that's the same

Answer:

[tex]13 \: \: \: \: : \: \: \: \: 9[/tex]

Step-by-step explanation:

[tex]plates = 13 \\ cups = 9[/tex]

So the ratio of the number of plates to the number of cups.

[tex]plates \: \: \: \: \: : \: cups \\ \: \: \: \: \: \: \: \: 13 \: \: \: \: \: \: \: \: : \: \: 9[/tex]

hope this helps

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Answer:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

Step-by-step explanation:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

2) 12/2+7

6+7

13

3) 8y-(22)

Terms, 8y, 22

Operation, Subtraction

Word Expression, 22 less than the product of 8 and y.

Answer:

number 2 is 13       and      number 3 is-2.75

Step-by-step explanation:

-2.75

Answer:

22.22 feet

Step-by-step explanation:

The piece of wood forms the shape of a right angled triangle with the wall of the house and the floor.

The piece of wood is 23 feet long and it is the hypotenuse.

The angle of elevation of the wood is 75° and we are to find the length of the wood to the base of the wall. Let that be y.

Using trigonometric function SOHCAHTOA:

sin(75) = x/23

=> x = 23 * sin(75)

x = 22.22 feet

The wood is 22.22 feet far from the base of the wall.

Answer:

L=19.5in w=10.5in

Step-by-step explanation:

Draw a rectangle. If the length is 9 inches longer than its width, we can write the width as "w" and the length as the width + 9

Area is (width)(Length) = (width)(width+9)

W

----------

| |

| |

| | L = w+9

| |

| |

-----------

A = (w+3)(w)

A = w2 + 9w = 205.

(Problem states that area is 205 sq in)

Need to solve this quadratic equation

w2 + 9y - 205 = 0

Factor:

(w - 10.51) (w + 19.51) = 0

So

w - 10.51 = 0. or. w + 19.51 = 0

Solve these and get

w = 10.51. or. w = -19.51

Only one that makes sense in real life is the positive one.

So the dimensions are

Width = 10.51 inches

Length = 19.51 inches

Answer:

Answer is x = 15

Answer is given below with explanations.

Step-by-step explanation:

[tex]in \: the \: figure \: BE || CD \\ by \: thales \: theorem \\ \frac{AE}{ED} = \frac{AB}{BC} \\ on \: substituting \: the \: values \: from \: the \: figure \\ \frac{9}{6} = \frac{x}{10} \\ \frac{3}{2} = \frac{x}{10} \\ x = \frac{3 \times 10}{2} \\ x = \frac{30}{2} \\ x =15 \\ [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

54/125

Step-by-step explanation:

2/375, 2/125, 6/125, 18/125

It is obvious the common ratio = 3

The next term = 3*18/125= 54/125

Answer: 54/125

Step-by-step explanation:

Answer:

its not very clear can you take a picture again?

Step-by-step explanation:

Answer:

The answer is 3

Step-by-step explanation:

7.5 m

---------

  5

7.5(2)=15

-------------

       5

15

---    =3

5

Answer:

Angle 1 and Angle 3

Step-by-step explanation:

When two lines intersect, they form two pairs of vertical angles. These angles are equal in measure, and they are directly opposite each other in the intersection. For instance, in this case, that would be angles 1 and 3, or angles 4 and 2. Since 4 and 2 aren't an option, the correct answer is angle 1 and angle 3. Hope this helps!

The angle 1 and angle 3 are vertical angles

Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. So are ∠2 and ∠4 . A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.

According to question

angle 1 = angle 3 ( vertically opposite angle )

angle 2 = angle 4 ( vertically opposite angle )

Hence, angle 1 and angle 3 are vertically opposite angle.

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Answer:

$350 (profit)

Step-by-step explanation:

add the expenses together and subtract the product from the revenue

9,000 + 200 = 9,200

9,550 - 9,200 = 350

Answer:

k= 112

Step-by-step explanation:

12y = 7z

y= 7z/12

_________

3x =8y

3x= 8× 7z/12

3×=56z/12

36x=56z

x=56z/36

_________

zk=72x

zk= 72 ×(56z/36)

k= (72×56)/36

k=112

Answer:

(-5, 2) and (2, 6)

Step-by-step explanation:

Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.

3x = x^2 - 10

x^2 - 3x - 10 = 0

Use the quadratic equation to solve for x.

x = - 5, 2

Now solve for y using these two values of x by substituting it back into the equations.

y = - 15,  6

In coordinate form, (-5, 2) and (2, 6)

Answer: I don’t know bro I’m sorry but at least add me on insta silverqueef

Step-by-step explanation:

Thank tou

Answer:

13.75/17

Step-by-step explanation:

Cos is Adjacent over Hypotenuse so you take the numerator and put it on and adjacent side of the triangle and you take the denominator and put it on the hypotenuse. Then you use pythagorean theoram to solve for the rest of the triangle. Then you have all three sides of the triangle. Sin is Opposite over Hypotenuse, so you take the opposite angle and just put it over the hypotenuse value to get your sin. If you need a visual just draw a triangle. :)

Answer: The correct answer is B or Team C scored 307 points.

Step-by-step explanation:

Answer:

Choice B. Team C scored 307 points.

Step-by-step explanation:

Team B scored 227 points.

Choice A:

Team A: 2b - 5 = 2(227) - 5 = 454 - 5 = 449

Choice A is false.

Choice B:

Team C: b + 80 = 227 + 80 = 307

Choice B is true.

Choice C:

2 * 307 = 614

614 is not the same as 449.

Choice C is false.

Choice D:

The sum of the points is given as 983.

Choice D is false.

Answer: Choice B. Team C scored 307 points.

Answer:

the answer is 420km.

Step-by-step explanation:

Given speed of car =60km/hr

then,distance travelled in 7hours

=speed×time

=60×7=420

=distance 420 km.

Answer:

A

Step-by-step explanation:

The height of the triangle is always perpendicular to the base. Therefore, in this figure, the base of the triangle corresponds to segment A

Answer: HI, Hope this helps you dear!

Step-by-step explanation:

3/4 - 2 7/8 = 2.8755

Answer:

2 7/8

Step-by-step explanation:

5 3/4 = 23/4

2 7/8 = 23/8

23×2=46

4×2=8

46/8-23/8= 2 7/8

Answer:

c

Step-by-step explanation:

25% = 15$ so 15+15+15+15=60

Answer:

C

Step-by-step explanation:

3/4 * 4pi = 3pi

3pi + 4 =. 13

Answer:

True Plan A will be worth more than plan B after two years.

True Plan A will be worth more than plan B after one year.

False Plan B will be worth more than plan A after three years.

False Plan B will be worth more than plan A after four years.

Step-by-step explanation:

plan A proves 10% Standard interest as it is $100 every year

plan B proves $50 per year Standard interest and may increase if this was CI interest as it may include interest on interest but nothing was mentioned that Plan B was CI type interest or any different from plan B type.

Because of this we can only agree option 1+2 out of 1-4 is true.

Answer:

A

Step-by-step explanation:

Given the 2 equations

6x + 3y = 9 → (1)

2x + 3y = 1 → (2)

Subtracting the 2 equations term by term eliminates the y- term

Subtract (2) from (1) term by term, that is

(6x - 2x) + (3y - 3y) = 9 - 1

4x = 8 ( divide both sides by 4 )

x = 2

Substitute x = 2 into either of the 2 equations and evaluate for y

Substituting into (2)

2(2) + 3y = 1

4 + 3y = 1 ( subtract 4 from both sides )

3y = - 3 ( divide both sides by 3 )

y = - 1

The solution is x = 2, y = - 1 → A

Answer:

no solution

Step-by-step explanation:

I tried to solve this by doing the square root of [tex]x^{2} +49[/tex], which is x+7. x+7≠x+5

Answer:

r=12.5

Step-by-step explanation:

V=2/3πr³

V=1300π m³

r=?

r=3√(3*1300π/2)

r=12.49

Answer: R={-6,-5,-1}

Step-by-step explanation:

If D= -2

substitute x for -2

f(x)= -2-4=-6

then do that for the rest

Answer:

[tex]4.5 \: miles[/tex]

Step-by-step explanation:

[tex]3 \: miles \: in \: 28 \: minutes.[/tex]

[tex]x \: miles \: in \: 42 \: minutes.[/tex]

[tex]28x=42 \times 3[/tex]

[tex]28x=126[/tex]

[tex]\frac{28x}{28}=\frac{126}{28}[/tex]

[tex]x=\frac{9}{2}[/tex]

Answer:

[tex]4.5 \: \: miles \\ [/tex]

Step-by-step explanation:

[tex]3 \: \: miles = 28 \: \: min \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: x \: \: \: = 42 \: min[/tex]

use cross multiplication

[tex]42 \times 3 = 28 \times x \\ 12 6 = 28x \\ \frac{126}{28} = \frac{28x}{28} \\ x = 4.5 \: \: miles[/tex]

Answer: D.

Step-by-step explanation:

Trust me I been there

Graph B shows the functions and its inverse.

Graph with function and it’s inverse is to be determine.

Functions is the relationship between sets of values.

Here,
For graph  A,C, and D do not have axis of symmetry that why this option can be omitted it does not contain function with its inverse.
While graph B has axis of symmetry and equal and opposite 2 function that is graph b has function and its inverse.

Graph B shows the functions and its inverse.

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