(5a-ab) (2ay-by)
[tex] {2}^2( {2}^{4 - ?}5 {} ){?} [/tex]
​

Answer:

89.6875

Step-by-step explanation:

you need to find out area of rectangle (length x width) and add area of the triangle (length x width divided by 2)

Answer:

t=7n

because for 1 batch is 7 cups so let's say you made 3 batchs 3*7= 21 cups.

The correct equation that models the situation is t = 7n. Hence option 4 is true.

Given that;

A chef uses 7 cups of tomatoes per batch to make pasta sauce.

Let us assume that;

t represents the number of cups of tomatoes.

And, n represents the number of batches of sauce.

Hence the equation that models the situation is,

t = 7n

Therefore, option 4 is true.

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Step-by-step explanation:

a factor is something you multiply with.

so,

16 × 3/4 = 12

so, the corresponding side to x in the similar triangle is 12 units long.

Answer:

Step-by-step explanation:

Parking charge for 2 hours = $ 9

Parking charge for 1 hour = 9/2 = $ 4.50

c = 4.50*p

c = 4.5p

Answer:

2/20

Step-by-step explanation:

Answer:     7/10

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

small painting: x

large painting: x + 20

5(x + x + 20) = 300

5(2x + 20) = 300

10x + 100 = 300

10x = 200

x = 20

Answer: $20

Answer:

Step-by-step explanation:

Math nerds, algebros?

Answer:

1st dot: 195,3

2nd dot : 390,6

Answer:

angle 6 is 117

angle 7 is 63

Step-by-step explanation:

Answer:

1. 5/11 = five elevenths = 5:11

2. 6/8 = six eighths = 6:8

3. 8/13 = eight thirteenths = 8:13

4. 4/9 = four ninths = 4:9

5. 7/15 = seven fifteenths = 7/15

Step-by-step explanation:

1. To convert numerical fractions into word form, here are a few tips:

2. To convert a fraction into colon form, here are a few tips:

Answer:

e)

a = 58°

alternate angles

b = a = 58°

Triangle is scalene (indicated by the 2 dashes on the triangle)

d = 180 - (58*2)

d = 64°

c = 58°

use either 180- (64+58)

which is angles in a straight line = 180 total

or

alternate angles

b = c = 58

f) x = 50°

alternate angles

y+z = 180-50

y+z = 130

we know that y = z

scalene triangle indicated by arrows (both bases are same angle)

so 130/2 = y and z

65 = y

65 = z

g) x = 55

alternate angles

on the diagram take the triangle which has x and y

you can see 95° outside the triangle, it’s on a straight line and will help us find the third angle for that triangle

180-95 = 85

180 - (85+55) = y

y = 40

z = y = 40

alternate angles

h)

180-78 = 102

beside angle a would be the angle 2a

alternate angles (look at the photo)

180 = 102 + a + 2a

180 = 3a + 102

78 = 3a

a = 26°

2a = 52

b = 26

use either alternate angles

a = b

or total angles in a triangle = 180°

102 + b + 56 = 180

b = 180-52-102

The insurer's part of the medical bill is 80 percent of the medical bill after deductible

The insurer would cover 80 percent of the insured's claims on the medical bill based on coinsurance agreement. However, the insured would have to pay deductible prior to coinsurance(80,20 share of bill)

Example: if insured's annual deductible is $2000 and coinsurance is 80:20, a medical bill of $10000, assuming the insured has not paid any deductibles, would amount to 80% of $8000(after subtracting deductibles) for the insurer"s cover and the rest for the insured.

Insurance deductibles are paid before your health plan covers its part of the medical bill, usually 80 percent.

Depending on your agreement with the insurer there could also be a copay on the insurance policy.

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Answer:

The graph is shown below.

Step-by-step explanation:

-1/2y = 4x + 5

This is the same as y = -2x - 2.5

The graph is shown below

Answer:

(4 + d) × 2

Step-by-step explanation:

Answer:

a. y= 1/3 x + 2

b. x= -6

c. y=2

Step-by-step explanation:

the points are (-3,1)

the gradient is 1/3 as it is perpendicular

1= 1/3 (-3) +c

1= -1 +c

c= 1+1

=2

So, y= 1 x + 2

3

b.

x-intercept is when y=0

so substituting 0 in the equation

here: 0=1/3x + 2

1/3 x = -2

x = -6

c.

y-intercept is when x=0

y=1/3 (0) +2

y=2

Answer:

The answer is C.

Step-by-step explanation:

The theory of vertical angles, often known as the theorem of vertically opposite angles. According to the theorem, two opposed vertical angles created when two lines cross one other are always equal (congruent) to each other no matter what the circumstances are.

Answer:

(3x-2y)(9x²+6xy+4y²)/216

Step-by-step explanation:

Answer:

GCF = 6, Sum = 60.

Step-by-step explanation:

Substitute 6 into our distribution equation:

6(3) + 6(7) = (18 + 42) = 60

Check:

6(3)+6(7) = 60.

(This is an easier way to find the GCF, by substitution)

Checking Continued:

18: 1, 2, 3, 6, 9, 18

42: 1, 2, 3, 6, 7, 14, 21, 42

6 is the GCF.

Answer:

B

Step-by-step explanation:

B is correct 24r11 one ................

If 'r' represents remainder then the correct answer is option A. The quotient is 24 & the remainder is 13.

Steps are in the attachment.

____

RainbowSalt2222 ☔

Answer:

Step-by-step explanation:

A CHOOSE A

Answer:

A

Step-by-step explanation:

 sorry:c

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

48% of students prefer biology

Step-by-step explanation:

Answer:

1 hour and 45 minutes

Step-by-step explanation:

I know this because you just need to divide the amount of hours that shane did it and the amount of time matt did it and then it will give you your answer

Answer:

Step-by-step explanation:

If the two pieces of tape are truly placed end-to-end, there will be no tape at the joint to connect the two pieces.  In the real world, one of the 56 m pieces will have to overlap one end of the other piece to make up a single new piece of tape whose length must be a little less than 2(56 m), or a lilttle less than 112 m.  There is no one specific correct answer because the experimenters vary in how much tape overlap to allow.

The new tape would measure 112m after the two fragments are joined.

Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.

Given:

A piece of tape 56 m long and we are to add another 56 m

Thus the sum of these two tapes is equal to 56+56=112 m

Hence, the new tape is 112m long.

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Answer:

Step-by-step explanation:

Find the area to be painted:

a) Paint needed:

b) Cost of paint:

f(x)=(x+a)/b

or bf(x)=x+a

let f(x)=y

by=x+a

flip x and y

bx=y+a

or y=bx-a

or f^{-1}(x)=bx-a

also g(x) is inverse of f(x)

bx-a=cx-d

so b=c,a=d

again let g(x)=y

y=cx-d

flip x and y

x=cy-d

cy=x+d

y=(x+d)/c

or g^{-1}(x)=(x+d)/c

also f(x) is inverse of g(x)

so (x+a)/b=(x+d)/c

so a=d,b=c

so in either case a=d,b=c

take b=c=1

a=d=2

f(x)=(x+2)/1=x+2

g(x)=1x-2=x-2

so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0

g(x) with y-intercept -2 and slope 0

if we take b=c=2,a=d=3

f(x)=(x+3)/2=x/2+3/2

g(x)=2x-3

here f(x) is of slope 1/2 and y-intercept 3/2

g(x) is of slope 2 and y intercept -3

part 3.

f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d

An inverse function or an anti function exists described as a function, which can change into another function. In other words, if any function “f” carries x to y then, the inverse of “f” will carry y to x.

Part 1: f(x) = (x+2) / 3 and g(x) = 3y-2.

Part 2: g(x) = 3x - 2, the inverse.

Part 3: g(f(x)) = x showing that f(x) and g(x) are mutual inverses.

An inverse function in mathematics exists function which "reverses" the another function.

TASK 1

Part 1

Let y = f(x) = (x + a) / b

x = g(y) = by-a = cy-d,

so c = b and d = a.

Let d = a = 2 and c = b = 3

f(x) = (x+2) / 3 and g(x) = 3y-2.

Part 2

y = f(x) = (x+2) / 3

3y = x+2  

x = 3y-2 = g(y)

so g(x) = 3x - 2, the inverse.

Part 3

g(f(x)) = 3

f(x)-2 = 3(x+2)/3-2 = x+2-2 = x,

so g(f(x)) = x showing that f(x) and g(x) exists mutual inverses.

x       -2  -1        0    1     2

f(x)    0    1/3   2/3   1    4/3

g(x)  -8   -5      -2    1      4

Part 4

The graph is given below.

TASK 2

Part 1

(a) Let a=1, b=2, c=3, d=6: [tex]$\sqrt{x}[/tex]+2+3=6 ; [tex]\sqrt{x}[/tex]-6=-5

(b) Let a=-1, b=2, c=3, d=4

(a) Multiply both sides by

[tex]$\sqrt{x}+6: x-36=-5(\sqrt{x}+6)=-5 \sqrt{x}-30[/tex]

[tex]$ x-36+30=-5 \sqrt{x }[/tex]

[tex]$ x-6=-5 \sqrt{x}$[/tex]

Square both sides:

[tex]$x^{2} -12 x+36=25 x ; x^{2} -37 x+36=0=(x-36)(x-1)$[/tex].

Part 2

(a) So x=36 or 1 (apparently).

Substitute x=36 in the original equation: 6+2+3=6, 11=6 is not true.

So x=36 is an extraneous solution.

substitute x=1: 1+2+3=6 is true, so x=1 exists the actual solution.

(b) [tex]$-\sqrt{x}+2+3=4 ;-\sqrt{x}=-1$[/tex]; multiply both sides by -1: [tex]$\sqrt{x}=1$[/tex]; square both sides: x=1.

Substitute x=1 in the original equation: -1+2+3=4 is true.

So x = 1 is the solution.

Part 3

(a) the act of squaring both sides resulted in creating an extraneous solution [tex]$\left((-5)^{2} =25=5^{2} \right)$[/tex].  

(b) the solution was simpler and there was no ambiguity.

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The required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.

Given that,
A production line produces 34 a mile of yarn every 14 an hour. The unit rate of miles of yarn per hour is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Unit rate = line produced / time
Unit rate = 34 / 14 = 2.43 miles of yarn per hour.

Thus, the required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.

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