The length of a rectangle exceeds its width by four inches. Find the dimensions of the rectangle if its area is 96 square inches.

[tex]\huge \tt༆ Answer ༄[/tex]

The given equation of the line is in slope intercept form, and if we equate the given equation with general equation of line (y = mx + c) , we will get slope (m) = -4

And therefore, the slope of the line is B

Answer:

x= 48

Step-by-step explanation:

x+90+42=180

x= 48

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Answer: Third option

Answer:

even

Step-by-step explanation:

if any doubt leave a comment

The value of x is 96/y where y is not equal to zero.

Given the expression that relates x and y as xy = 96

We are told that x and y are positive numbers. To get the value of x, we will divide both sides by y as shown:

[tex]xy = 96\\\frac{xy}{y} =\frac{96}{y} \\x = \frac{96}{y} \\[/tex]

From the result, we can conclude that the value of x is 96/y where y is not equal to zero.

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Answer:

1. 37.5

2. 8

Step-by-step explanation:

1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.

this means that 16/46 = 20/(x+20)

then, just solve that for x

16/46 = 20/(x+20)

divide both sides by 4

4/46 = 5/(x+20)

multiply both sides by (x + 20)

(x+20) * 4/46 = 5

multiply both sides by 46

4x + 80 = 230

subtract 80

4x = 150

divide 4

x = 37.5

2. do the same thing ( still similar triangles)

the equation would be (3x + 1)/10 = (7x - 1)/22

solve

22(3x + 1) = 10(7x - 1)

66x + 22 = 70x - 10

32 = 4x

x = 8

Answer:

45 ft²

Step-by-step explanation:

I hope this helps!

Answer:

23 chips I believe

Step-by-step explanation:

10 add 13

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\boxed{\mathbf {Your\ equation} :\mathsf{\dfrac{5}{12}\times\boxed{} = 1}}[/tex]

[tex]\large\textbf{We don't know the unknown number yet so we will}\\\large\textbf{label it as \boxed{f}}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{5}{12}\times f = 1}}[/tex]

[tex]\large\boxed{\rightarrow\mathsf{\dfrac{5}{12}(f)= 1}}[/tex]

[tex]\large\textbf{MULTIPLY by }\mathbf{\dfrac{12}{5}}\large\textbf{ to BOTH SIDES}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{12}{5}\times\dfrac{5}{12}f = \dfrac{12}{5}\times1}}[/tex]

[tex]\large\textbf{CANCEL out: }\mathbf{\dfrac{12}{5}\times\dfrac{5}{12}}\large\textbf{ because it gives you 1.}[/tex]

[tex]\large\textbf{KEEP: }\mathbf{\dfrac{12}{5}\times1}\large\textbf{ because it helps solve for the f-value.}[/tex]

[tex]\large\boxed{\mathbf{NEW \ EQUATION: }\mathsf{f = 1\times \dfrac{12}{5}}}[/tex]

[tex]\large\textbf{SIMPLIFY IT!}[/tex]

[tex]\huge\boxed{\textbf{Therefore, your answer: \boxed{\mathsf{f = \dfrac{12}{5}}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

See attachment

12.  -23C

13.  28.9% Loss

14.  Diagram in the attachment.  The sides can be calculated with the Pythagorean Theorem.  Side = 3.61 cm

15.  Use trig relationships.  x = 5, y = 8.66

Answer:

M=F/A

Hope this helps

Step-by-step explanation:

well, we just do the multiplication and simplify by combining terms with the same base :

10(-5x + 3) - 2x = -50x + 30 - 2x = -52x + 30

Hence, -52x + 30 is the evaluated expression.

Hoped this helped.

Answer:

-8

Step-by-step explanation:

In order to find the answer to this question you need to use the slope formula, substitute, subtract, and simplify if needed.

[tex](9,5),(4,1) = (x^1,y^1), (x^2,y^2)[/tex]

[tex]m = \frac{y^2-y^1}{x^2-x^1} = \frac{9-1}{4-5}[/tex]

[tex]9-1=8[/tex]

[tex]4-5=-1[/tex]

[tex]= -8[/tex]

Hope this helps.

Answer: -6

Step-by-step explanation:

It's going by 3s so the second negative number would follow as this:

24, 21, 18, 15, 12, 9, 6, 3, 0, -3, -6

The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27

The given ratio is:

2 gallons to 27 quarts

This can also be written as:

2 gallons  :  27 quarts

Convert 27 quarts to gallons so that both items in the ratio can be of equal unit

Note that:

1 quart  =  0.25 gallons

27 quarts = 0.25 x 27

27 quarts = 6.75 gallons

The ratio can therefore be re-written as:

2 gallons :  6.75 gallons

In fraction form:

2 gallons  :  27 quarts = 2/6.75

Multiply the numerator and denominator by 4

2 gallons  :  27 quarts  =  4/27

The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27

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Answer:

  a) gallons

  b) gallons

Step-by-step explanation:

1 fluid ounce is about 6 teaspoons or 30 cubic centimeters or 1.8 cubic inches. 2.3×10^4 fluid ounces is less than 1 cubic yard. We suspect the pool is much larger than that, so its volume is probably measured in gallons.

__

Of the units listed, only teaspoons and gallons are units of volume. As we saw in the previous problem, a teaspoon is a pretty small volume in relation to the size of most fish tanks. The appropriate unit of measure would be gallons.

Answer:

Step-by-step explanation:

Answer:

quadratic function

Step-by-step explanation:

y=(x-1)²-3

Answer:

y = 94.5 cups

Step-by-step explanation:

Let's say:

=> Full Recipe = 212 + y

=> 2(Full Recipe) = 2(212 + y) = 613 cups

=> 2(Full Recipe) = 424 + 2y = 613 cups

=> 2y = 613 - 424

=> 2y = 189

=> y = 94.5

Therefore, the required oats to do double the recipe is 94.5 cups.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

Exact: 10.08

To 1 decimal place: 10.1

Step-by-step explanation:

Just ask.

Hope this helps.

Answer:

Answer:

28+66+86=180

180=180

Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}

x+(2x+10)+(3x+2)=180

Simplify left side of the equation

\begin{gathered}6x+12=180\\\end{gathered}

6x+12=180

Solve equation for x

\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}

6x=180−12

6x=168

x=28

Replace x into the 3 angles and find their respectives values

\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}

A=x

A=28

B=2x+10

B=2∗28+10

B=56+10

B=66

C=3x+2

C=84+2

C=86

Check if the answers are correct

\begin{gathered}28+66+86=180\\180=180\end{gathered}

28+66+86=180

180=180

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The son is 30 years and the father is 65 years.

Let x represent the present age of the son and y represent the present age of the father.

Hence:

y = x + 35

-x + y = 35    (1)

In 5 years time:

y + 5 = 2(x + 5)

y + 5 = 2x + 10

-2x + y = 5  (2)

Solving equations 1 and 2 simultaneously gives:

x = 30, y = 65

The son is 30 years and the father is 65 years.

Find out more on equation at: https://brainly.com/question/2972832

Son   =  30 years

Father  =  65 years

Present Details:

Son: "s" years                    (lets consider son's present age to be s)

Father: "s + 35"                  (father is 35 years older than the son)

After 5 years:

Son: "s + 5"                [son will be 5 years older]

Father: 2(s + 5)     [twice the son's age]  and  (s + 35) + 5 = (s + 40) years

Solve father's age simultaneously:

⊕ Thus, the Son is 30 years old.

Father's age:

Answer:

18

Step-by-step explanation:

63/7 = 9

Reduction factor is 9

2x9 = 18

x = 18

Hope that helps

Answer:

x = 18

Step-by-step explanation:

63 divided by 7 equals 9, so 7 is 9 times smaller, meaning 2 must be too

2 times 9 is 18

x=18

Answer:

= -30[tex]x^{6}[/tex]-4

i hope that helps and is right

If that is a multiplication sign then it is -184

if that is an x then it would be -4 -180x

Answer:

[tex](4+4n)+(7+2a) = 11+4n+2a[/tex]

Step-by-step explanation:

=================================================

Explanation:

Since 300 is a multiple of some number, this means that mystery number is a factor of 300.

So for instance, she could have picked 60 since 60*5 = 300. Or she could have picked 50 because 50*6 = 300.

To find out if you have a factor or not, divide the 300 over each answer choice. If you get a whole number, then it is a factor.

Choices B through D lead to whole number results, which shows that the numbers 50, 60 and 75 are factors of 300. Flipping things around, this means that 300 is a multiple of 50, 60, and 75.

Only 45 is the one that isn't a factor of 300, which means that 300 is not a multiple of 45.

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

Another way to see this is to list out the multiples of 45

and we don't land on 300. The closest we get is 315.

In contrast, let's list out the multiples of 50

The value 300 is in the list, allowing us to cross off choice B. Choices C and D are similar.

Answer:  

Josh has 60% of $600 that is $360

Daniel has $320

So Josh has more by $40

5)

Bianca has 43 votes

Carlos has 38% of the 150 vote that is 57

So Carlos has 14 more votes than Bianca

Step-by-step explanation:

You have learned that to find 1% of a number means finding 1/100 of it. Similarly, finding 60% of a number means finding 60/100 (or 6/10) of it. 60% of $600 → 60% × $600. 60% of $600 → 0.6 × $600.

Answer:6^21

Step-by-step explanation:

Answer: its B

Step-by-step you multiply 7 x 3 and you get 21

Sci = π . 2 . 2 = 12,56 ⇒ 1/2 Sc1 = 1/2 . 12,56 = 6,28

Srec = 6 . 4 = 24

S= 6,28 + 24 = 30,28

the answer is 30,28

ok done. Thank to me :>