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Answer:

21 and 32 are the numbers

Step-by-step explanation:

Let assume that the the two numbers are X and Y and that X is the large number.

According to the question,

X + Y = 53 .................. Equation 1

then,  X = 11 + Y........... Equation 2

Substitute equation 2 into equation 1.

[11 + Y] + Y = 53

11 + 2Y = 53

2Y = 53 - 11 = 42

2Y = 42

Y = 42 / 2 = 21,

Therefore, Y = 21 [Small number].

According to equation 1,

X +Y = 53

X + 21 = 53

X = 53 - 21 = 32.

Therefore, X = 32 [Big number]

Answer:

61-33...

Step-by-step explanation:

If he gave away 61 from his 33 then its 61-33

Answer:

1. Set A

2.  [tex]\textsf{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]

3.

[tex](x+7)(x-7)[/tex]

[tex]\implies a=x\:\textsf{and}\:b=7[/tex]

[tex]\implies x^2-7^2=x^2-49[/tex]

[tex](x-9)(x+9)=(x+9)(x-9)[/tex]

[tex]\implies a=x\:\textsf{and}\:b=9[/tex]

[tex]\implies x^2-9^2=x^2-81[/tex]

[tex](4x-3)(4x+3)=(4x+3)(4x-3)[/tex]

[tex]\implies a=4x\:\textsf{and}\:b=3[/tex]

[tex]\implies (4x)^2-3^2=16x^2-9[/tex]

4.

[tex](2x+5)(2x-5)[/tex]

[tex]\implies a=2x\:\textsf{and}\:b=5[/tex]

[tex]\implies (2x)^2-5^2=4x^2-25[/tex]

5. [tex](x-6)(x-6)[/tex]

Cannot use Difference of Two Squares Formula to expand this expression.  To expand this expression, you would need to use the FOIL method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]\implies (x-6)(x-6)=x^2-6x-6x+(-6)^2=x^2-12x+36[/tex]

Answer:

1.Set A

2.Aplyyanses of shortcut based

[tex] \beta \sin( \sec( \cos(e \alpha \% log_{14 |kkjja| }(?) ) ) ) bcaue \: f \: thd \: \: aakdx[/tex]

Step-by-step explanation:

thire9

The solution of the given quadratic equation are,

[tex]x=\frac{-5-\sqrt{57} }{2}[/tex],[tex]x=\frac{-5+\sqrt{57} }{2}[/tex]

The equation to solve is given as

[tex]x^2=-5x+8[/tex]

Rearrange the given equation in standard form, [tex]ax^2+bx+c=0[/tex]

where,  a,b and c are constants.

Therefore, we add 5x-8 on both sides to get,

[tex]x^2+5x-8=0[/tex]

Here, a=1,b=5 and c=-8

The solution to the above equation is

[tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex]

Use the value of a,b,c in the quadratic formula and solve for x

[tex]x=\frac{-5\±\sqrt{5^2-4(1)(-5)} }{2(1)}[/tex]

[tex]x=\frac{-5\±\sqrt{25+35} }{2(1)}[/tex]

[tex]x=\frac{-5\±\sqrt{57} }{2(1)}[/tex]

Therefore, the solutions are

[tex]x=\frac{-5-\sqrt{57} }{2},x=\frac{-5+\sqrt{57} }{2}[/tex]

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Answer:

answer is b

Step-by-step explanation:

The volume of a cuboid is the product of its length, width, and height. The total volume with Selina is 360 in³.

The volume of a cuboid is the product of its length, width, and height. It is represented as,

[tex]\rm \text{Volume of Cuboid} = (Length \times Width \times Height)\ unit^3[/tex]

The volume of each of the boxes with a width of 6 in, a height of 3 in, and a length of 4 in, can be written as,

[tex]\rm \text{Volume of a single Box} = 6\ in \times 3\ in \times 4\ in = 72\ in^3[/tex]

Now, the total number of boxes Selina has is 5, therefore, the total volume with Selina can be written as,

[tex]\rm \text{Total\ Volume} = \text{Volume of a single box} \times 5 = 72\ in^3 \times 5 = 360\ in^3[/tex]

Hence, the total volume with Selina is 360 in³.

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Answer: d=-2

Step-by-step explanation:

As we know the order of operations are

1) Parenthesis/Brackets

2) Exponents

3) Multiplication/Division

4) Addition/Subtraction

However, when you solve equations you must do the order of operations backwards

So start by adding 1 to both sides because whatever you do to one side of the equation you must do to the other side

[tex]5d-1=-11\\5d-1+1=-11+1\\5d=-10[/tex]

Now divide both sides by 5 to isolate d

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

Answer:

107% if you want to be sure check

Answer:

four spaces to the left, and 6 spaces up.

The measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,

Though the real measurement is still the same the units and numerical values have been changed.

As it is given, the pool's volume or the amount of water in the pool is equal to 2.3×10⁴ units.

We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.

Hence, the measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

Learn more about Units conversion:

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Answer:

A

Step-by-step explanation:

First divide S by 4pi. Then take the square root to solve for r.

Answer: 9/10-8/10=1/10

Step-by-step explanation: The answer is 1/110

Answer:

b=2 and c=6

Step-by-step explanation:

According to the question,

a+b=c

Let b=2 and c =6 then, we get,

4+2=6

or, 6=6

proved

Answer:

4 hours.

Step-by-step explanation:

2/3 * 6

= 12/3

= 4 hours.

Answer:

4

Step-by-step explanation:

Hope this helps <3

try to stay out of trouble lol

Answer:

(x + 5)(x + 12) = 0

What are the solutions?

x = -12 or -5

Step-by-step explanation:

Hope it helps! :D

Answer:

(x + 5)(x + 12) = 0

and

x = -12 or -5

Step-by-step explanation:

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

The Correct choice is 4

If we take value of x as 6 in the given function, then we will get the value of y as 4, as shown in the graph.

Answer:

No

Step-by-step explanation:

[tex]\dfrac{12}{20} =\dfrac{3 \times 4}{4 \times 5}= \dfrac 35\neq \dfrac 45[/tex]

Answer:

308 minutes or 5 hours and 8 minutes

Step-by-step explanation:

First, let's add the bicycles of both boys and girls together:

6 + 8 = 14

Now, let's multiply that number by 22 since she will have to assemble all of those bicycles and it will take 22 minutes for each:

22 x 14 = 308

It will take a total of 308 minutes or 5 hours and 8 minutes to assemble all of those bicycles.

Answer:

1.5 cups

Step-by-step explanation:

5 - 3.5 = 1.5

Answer:

12 ten inch pieces

Step-by-step explanation:

you do 120 divided by 10 to get an answer of 12

hope this helped =)

There is likely an association between the categorical variables because the relative frequencies are not similar in value.  

Frequency describes the number of waves that pass a fixed place in a given amount of time.

A conditional relative frequency table is generated by a column from a set of data. The conditional relative frequencies of the two categorical variables are then compared.

If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data.

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Answer:

There is likely an association between the categorical variables because the relative frequencies are not similar in value.  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The number of times people got cheese and wheat is 1200

Step-by-step explanation:

Hope this helps! Have a good day! :)

Answer:

[tex]\sf \dfrac{12}{19}[/tex]

Step-by-step explanation:

To begin, add the column and row totals to the table (see attachment).

Let W = Wheat

Let C = With cheese

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(W)=\dfrac{1900}{3125}=\dfrac{76}{125}[/tex]

[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]

[tex]\implies \sf P(W \cap C)=\dfrac{1200}{3125}=\dfrac{48}{125}[/tex]

As the events W and C are not independent, we can use the formula:

[tex]\sf P(C\: | \:W)=\dfrac{P(W \cap C)}{P(W)}[/tex]

Substituting the values into the formula:

[tex]\sf P(C\: | \:W)=\dfrac{\frac{48}{125}}{\frac{76}{125}}=\dfrac{48}{76}=\dfrac{12}{19}[/tex]

Answer:

A

Step-by-step explanation

Dilation: A shape is scaled up or down by a scale factor

Translation: A shape is moved on a coordinate plane to a different spot.

A works because lets you one side (the bottom side). The bottom has a length of 3, and the bigger one has a length of 6, showing a scale factor of 2.

Answer:

y = 66

Step-by-step explanation:

"11 is a quotient of a numer y and 6" can be re-written as:
y/6 = 11

To solve, multiply both sides by 6.

y = 66.

Answer:

180⁰

Step-by-step explanation:

Since the angle of straight line is 180⁰

Answer:

A and B = 180 degrees

Step-by-step explanation:

this is because a circle is 360 and a line wich would be cutting the line in half is 180. so the two andles must add up to 180 degrees.

Answer:1200/d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

you need to distribute the 2

this leads to (2*5)- (2*3x)

=10-6x !