Line r is parallel to line c.​

Answer:

[tex]3 \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{5}{2} }{36} = \frac{x}{48}[/tex]

36x = 5/2 * 48

36x = 120

[tex]x = 3 \frac{1}{3}[/tex]

The amount of sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.

It is given that a recipe of sugar cookies needed [tex]2\frac{1}{2}[/tex] cups of sugar for 36 cookies.

We have to find out the amount of sugar needed for 48 cookies.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Sugar required for 36 cookies = [tex]2\frac{1}{2}[/tex] cups

Sugar required for 1 cookies

=  [tex]2\frac{1}{2}[/tex] ÷ 36 cups

= [tex]\frac{5}{2}[/tex] ÷ 36

= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex]

So , the sugar required for 48 cookies will be equal to ;

= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex] × 48

= [tex]\frac{240}{72}[/tex]

= [tex]\frac{10}{3}[/tex]

or

[tex]3\frac{1}{3}[/tex] cups

Thus , the sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.

To learn more about unitary methods click here ;

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Answer:

7920

Step-by-step explanation:

you can use the binomial theorem obviously but you can also use symbolabs or wolframalpha and just solve it like that.

Answer:

(45 - 25) / 2 × (2 + 3)

Step-by-step explanation:

Given:

45 - 25/2 × 2 + 3

By trials:

(45 - 25) / (2 × 2) + 3

= 20/4 + 3

= 20/7

Another trial:

(45 - 25)/2 × (2 + 3)

= 20/2 × 5

= 20/10

= 2

The parentheses should be inserted like this

(45 - 25) / 2 × (2 + 3)

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\frac{b^{4}}{b^{-3}}=b^{4-(-3)}=b^{4+3}=b^{7}[/tex]

Answer:

7

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Change is (45-25)/25*100=(20/25)*100=80%

Answer:

16x^11

Step-by-step explanation:

2x^3 x 8x^8

= 2 x 8 ( x^8 x x^3 )

= 16 ( x ^8 + 3 )

= 16x^11

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

[tex]\mathsf{2x^3\times8x^8}\\\textsf{There arent any like terms so we \underline{do not} have to compare them together}\\\mathsf{= \mathsf{2\times8 \rightarrow \bf 16}}\\\mathsf{= 3+8\rightarrow\bf 11}\\\mathsf{= 16\times x^{11}}\\\mathsf{= \bf 16x^{11}}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 16x}\mathsf{\bf ^{11}}}}\huge\checkmark\\\\\\\large\textsf{Good luck on your assignment and your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

Volume of cylinder

= π r² h

OAmalOHopeO

Answer:

The volume of the cylinder would be approximately 392.5 ft^3

Step-by-step explanation:

Just like the volume formulas for a cuboid, the formula for a cylinder is: Vol = (Circle Area)(Height). Since we already have the height value, let's move onto the circle area.

The formula for the area of a circle is: πr^2. The problem only gave us the value for the diameter (10), so to get the radius value, we just need to divide the diameter by 2, and we get a value of 5 ft as our radius. Next, we just need to square root it. So 5 x 5 = 25. Then, we multiply it by π. Because the problem is asking for an approximate answer, we can just assume that π is 3.14. And that gets us a value of 78.5 ft^2 for the area of the circle.

Finally, we just need to multiply the area and the height of the cylinder. So 78.5 x 5 is approx. 392.5 ft^3. Since we don't need to round to the nearest tenths place, we can just leave it alone.

Since I didn't use the exact value of π, the real answer may be a little off of what we got, but if you want to extra precise, you can go ahead and use the actual value of π.

Answer:

Absolute value.

Step-by-step explanation:

We have the expression:

[tex]\displaystyle \sqrt{s^2}[/tex]

The square root and the square will cancel. This yields:

[tex]=|s|[/tex]

We need the absolute value because any value squared is positive. The square root of a positive value will also be positive.

In other words, if we only simplified the expression down to s without the absolute value, if s was originally negative, our simplification will have also been negative.

For instance, say s = -7, then:

[tex]\displaystyle \sqrt{(-7)^2}=\sqrt{49}=7[/tex]

However, if we let √s² = s, then s = -7. By having the absolute value, we have that |s| = |-7| = 7, which is the correct statement.

Hi!

x² + 7x + 9 = 3

x² + 7x + 9 - 3 = 0

x² + 7x + 6 = 0

Answer:

x^2+7x+ 6 = 0

Step-by-step explanation:

x^2+7x+ 9 = 3

Subtract 3 from each side

x^2+7x+ 9-3 = 3-3

x^2+7x+ 6 = 0

Answer:

B) To the left five units, down three units

Answer:

( B ) To the left five units, down three units.

Step-by-step explanation:

x = ??

y = 72 + 40 = 112

x =112 - 180

x = 180-112

x = 68

or = 180 - 72 = 108

180 - 40 = 140

140 - 108 = 32

Answer:

1.

C. 5y -7 is an algebraic expression difference with two terms.

Answer:

around 82.75

Step-by-step explanation:

Height of parallelogram =12cm

Answer:

54

Step-by-step explanation:

Surface area of a cube = 6a²

Where,

a = edge = 3

Surface area of a cube = 6a²

= 6 * (3)²

= 6 * (3 * 3)

= 6 * 9

= 54

Therefore,

The Surface area of the cube = 54

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

[tex]2({5}^{2}) \div 5(100 - 5(15))[/tex]

[tex]50 \div 25 \times 5[/tex]

[tex]50 \div 125[/tex]

[tex]2 \div 5[/tex]

Answer:

p=9

r=18

Step-by-step explanation:

Answer:

y = 2x+6

Step-by-step explanation:

y = 2x + 5

This line is in slope intercept form  y = mx+b where m is the slope and b is the y intercept

The slope is 2.  Parallel lines have the same slope

y = 2x+b

Using the given point and substituting it into the equation

2 = 2(-2) +b

2 =-4+b

Add 4 to each side

2+4 = -4+b+4

6 = b

y = 2x+6

Answer:

Number of Books. Cost (dollars). 7 14. 8 16. 9 18. Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form...

Answer:

-6

Step-by-step explanation:

A parabola is vertex form is written as

y = a(x-h)^2 +k  where (h,k) is the vertex

Substituting in the vertex

y = a(x-5)^2 +5

We know a point on the parabola so we can find a

-1 = a( 6-5)^2 +5

-1 =a(1)^2+5

-1 = a +5

Subtract 5 from each side

-1-5 = a

-6 =a

Answer

Mandisa uses more balloon per animal.

Amira and Mandisa made the same amount of balloon animals.

Explanation

Mandisa uses 5 balloons per animal.

You can find this out by putting the difference between two of the y values (output, dependent variable, in this case balloons) over the difference between two of the x values (input, independent variable, in this case animals). Let's take 225 and 125 from the y value and 20 and 40 from the x value. Mandisa uses 225-125=100 balloons per 40-20=20 animals. Mandisa uses 5 balloons per animal. 5 is more than 4 (how many balloons Amira uses for each animal), so Mandisa uses more balloons per animal.

Amira and Mandisa made the same amount of balloon animals.

Now you can divide the number of balloons they had at the beginning by the number of balloons per animal to find out how many animals each person made. Amira started with 260 balloons and used 4 balloons for each animal. Amira made 260/4=65 animals.

If Mandisa used 100 balloons to make 20 animals, she would have had 225+100=325 balloons at the beginning. Mandisa made 325/5=65 animals.

Answer:

a) 81-6

b) 10.4

Step-by-step explanation:

a) assuming that the VAT is 20% of the 68 pounds,

you calculate 120% of 68 (convert percentage to decimal)

= 1,20 * 68 = 81.6 pounds

or

calculate 20% of 68 pounds and add the answer to 68 pounds:

(0.2 * 68) + 68 = 81.6 pounds

b) 20% of 52

first convert the percentage to decimals:

0.2 * 52 = 10.4 pounds

Answer:

c

Step-by-step explanation:

because 11x + 17 = 3x

Answer:

$7, 657

Step-by-step explanation:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.

Answer:

(2,0)

Step-by-step explanation:

   2 (x + 2y) = (2)

      2x + 4y = 4

-    2x + 5y = 4

-1y = 0

y = 0

2x + 5(0) = 4

2x = 4

x = 2

Answer:

x=2 y=0

Step-by-step explanation:

solve for y

x+2y=2

x=2-2y

2(2-2y)+5y

4-4y+5y=4

4+y=4

y=0

plug into equation

2x+5(0)=4

x=2

and

x+2(0)=2

x=2