5 1/2 + 3 4/5 + 1 1/4 =

With the help of basic Arithematic Operations it is concluded that the store lose $7.25 by giving away the free tubes of paint.

A formula that depicts grouping objects into a bigger collection. The plus sign (+) serves as a symbol for it.

A calculation that symbolizes the process of determining a difference between two numbers or units. The negative sign serves as a symbol for it (-).

The cost of a paint tube = $7.25

The cost of 2 paint tubes = $7.25 + $7.25 = $14.50

Therefore, subtracting the cost of one free paint tube from the total cost of two paint tubes

$14.5 - $7.25 = $7.25

Hence, the store lose $7.25 per sale by giving away the free tubes.

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The function that represents the total charge for renting a truck for a certain number of hours is c(h) = $90 + $20(h) and the value of the function for an input of 5, is $190 and this represents the total charge for a rental of 5 hours.

Given,

A truck rental company charges $90 plus $20 per hour.

Here we need to  identify a function that represents the total charge for renting a truck for a certain number of hours. And we also need to find the value of the function for an input of 5.

The problem statement tells you the total charge is the sum of $90 and a charge of $20 per hour. That is, for h hours, the total charge is ...

c = 90 + 20h

In functional form, this is

c(h) = 90 +20(h) . . . . . . total charger for a rental of h hours

The function value with an input of 5 is ...

c(5) = 90 +20(5)

c(5) = 90 + 100

c(5) = 290

Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 5 hours.

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Answer:

f(h)=90+20h

$190

Step-by-step explanation:

The simplified version of first expression is  y² + 10y + 25 and  simplified version of second expression is  y²  – 25

The first polynomial expression on the left is (y + 5)²

= y² + 2×y×5 + 5² (using the formula (a + b)² = a² + 2ab + b²)

= y² + 10y + 25

The second polynomial expression on the left is (y + 5)(y – 5)

= y(y – 5) + 5(y – 5)

= y² – 5y + 5y – 25

= y²  – 25

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The complete question is given below :

The polynomial expression on the left is (y + 5)², and the simplified version on the right for this polynomial is y² + 10y + 25.

The polynomial expression on the left is (y – 5)(y + 5), and the simplified version on the right for this polynomial is y² – 25.

Answer:

slope = - 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, - 6 )

m = [tex]\frac{-6-3}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3

Answer: ≈900,000,000

Step-by-step explanation:

[tex]943,158,679.3491\approx900,0000,000[/tex]

Answer: 16

Step-by-step explanation:

Answer:

172

Step-by-step explanation:

Answer:

A function is a type of relation. A relation is the pairing of numbers from two sets. x = 8 is not a relation (no pairing) therefore it cannot be a function.

1. The groups of 1/9 that are in 2 is 18.

2. 2 divided by 4/9 is 4 1/2.

It should be noted that the information relates to fractions. In this case, they'll be solved this:

The groups of 1/9 that are in 2 will be:

= 2 ÷ 1/9

= 2 × 9

= 18

Also, 2 divided by 4/9 will be:

= 2 ÷ 4/9

= 2 × 9/4

= 9/2

= 4 1/2

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Answer:

about 45239 cm²

Step-by-step explanation:

The area of the triangle is 6√3 units.

given that the altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units.

The hypotenuse of a triangle with angles of 30°, 60°, and 90° is always twice as long as the side opposite the 30° angle, and it is almost three times as long as the side opposite the 60° angle.

so, let the shorter side of triangle is x.

the longer side of triangle is x√3.

the hypotenuse of the triangle is 2x.

now find the value of side of triangle

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

so, the length of shorter side is √3 units.

now, find the value of hypotenuse of triangle

2x = 2√3

so, the length of hypotenuse of the triangle is 2√3 units.

now, find the base of the triangle

base = a√3 = (2√3) (√3) = 2(3) = 6

base = 6 units.

now, find the area of triangle

formula 1/2 (base)(height)

A = 1/2 (6) (2√3)

A = 6√3

Hence,the area of the triangle is 6√3 units.

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The conclusion of the statement would be "then I will play outside".

Thus this is the meaning of conditional statement.

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Answer:

lol

Step-by-step explanation:

literally where's the question only answer??

Answer:

???

Step-by-step explanation:

Answer:

151 shirts

Step-by-step explanation:

2578 divided by 17 is 151.647...

Answer:151

Step-by-step explanation:2578 divided by 17 equals 151.6470588. you cant have a partial shirt so you have to round down or you will go over your money

Answer:

-6

Step-by-step explanation:

Answer:

a) -6

Step-by-step explanation:

The given equation is,

→ (2x + 3)/2 = 3x/4

Let's solve the required value of x,

→ (2x + 3)/2 = 3x/4

→ 4(2x + 3) = 2 × 3x

→ 8x + 12 = 6x

→ 8x - 6x = -12

→ 2x = -12

→ x = -12/2

→ [ x = -6 ]

Hence, the value of x is -6.

Yes, it is possible to draw a plane that contains a line and a point not in the line.

A plane is a flat two-dimensional surface that extends to infinity. Planes are points (0-dimensional), lines (1-dimensional), and the 2-dimensional analogue of 3-dimensional space. The plane has zero thickness, zero curvature, infinite width, and infinite length. It's actually difficult to imagine an airplane in real life. All the flat surfaces of a cube or cuboid, the flat surface of paper are all practical examples of geometric planes.

In any dimensional Euclidean space, a plane is uniquely defined by either: Use three non-collinear points. Use points and lines that are not on this line. Use two different lines that intersect.

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The probability that all the 4 cards are

1) hearts = 0.0026

2) face cards = 0.0018

3) even cards = 0.0179

In a standard deck of cards, we have:

Total number of cards= 52

1) The probability that all the cards are hearts.

In a standard deck of cards, we have:

the number of Hearts = 13

When a card is selected, the number of cards reduces by 1.

So, the probability that all the 4 cards are hearts is:

P1 = 13/52 × 12/51 × 11/50 × 10/49

P1 = 0.25 × 0.2353 × 0.22 × 0.2041

P1 = 0.0026

2) The probability that all the cards are face cards.

In a standard deck of cards, we have:

Face card = 12

When a card is selected, the number of cards reduces by 1.

So, the probability that all the 4 cards are face cards.

P2 = 12/52 × 11/51 × 10/50 × 9/49

P2 = 0.2308 × 0.2157 × 0.2 × 0.1837

P2 = 0.0018

3) The probability that all the cards are even.

In a standard deck of cards, we have:

Even cards = 20

When a card is selected, the number of cards reduces by 1.

So, the probability that all the 4 cards are even.is:

P3 = 20/52 × 19/51 × 18/50 × 17/49

P3 = 0.3846 × 0.3725 × 0.36 × 0.3469

P3 = 0.0179

Hence, the probability that all the 4 cards are even is 0.0179

Therefore, the probability that all the 4 cards are

1) hearts = 0.0026

2) face cards = 0.0018

3) even cards = 0.0179

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Answer:

69.3 degrees

Step-by-step explanation

supplement means 180 degrees so subtract 180-110.7

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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Answer I really don’t know math

Step-by-step explanation:

The cargo plane's speed is 576.7 km /hour.

Given, the cargo plane flew away 9 hours before an air force plane.

The air force plane is in the opposite direction.

speed of the air force plane is : 260 km/hr

time = 3 hours

distance for which plane's are apart = 5970 km

therefore, 9x + 3(260) = 5970

9x + 780 = 5970

9x = 5970 - 780

9x = 5190

x = 5190/9

x = 576.7 km

hence the speed of the cargo plane is 576.7 km.

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The surface area of the box in square inches will be 39.0625 inches².

From the information, the gift box has a surface area of 6.25 square feet.

Therefore, the surface area of the box in square inches will be:

= Side × Side

= 6.25 × 6.25

= 39.0625 inches²

Therefore, the surface area of the box will be 39.0625 inches².

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Answer:

2x+5y+20

Step-by-step explanation:

The expression can be rewrite as [tex](2\times x)+(2\times4)[/tex] using distributive property and on simplification ,it gives [tex]2x+8[/tex] .

Use this property of multiplication rather than addition when you need to multiply a number by the sum of two numbers.

Let's use properties to calculate given the expression. The number 2 is divided by two addends. Simply put , multiply each summand by 2 and add the products together.

By using distributive property , we get

[tex]2(x+4)=(2\times x)+(2\times4)[/tex]

On simplifying , we get

[tex](2\times x)+(2\times4)=2x+8[/tex]

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

[tex]\huge\textbf{What is the distributive property}\\\\\huge\textbf{formula?}[/tex]

[tex]\mathsf{a(b + c)}\\\\\mathsf{= a(b) + a(c)}\\\\\mathsf{= ab + ac}[/tex]

[tex]\huge\textbf{But what about your equation?}[/tex]

[tex]\mathsf{2(x + 4)}\\\\\mathsf{= 2(x) + 2(4)}\\\\\mathsf{= 2x + 8}[/tex]

[tex]\huge\text{Therefore your answer should be: \boxed{\mathsf{2x + 8}}}\huge\checkmark[/tex]

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

According to the given statement the chi-square value in the test of this hypothesis is  10.111.

The correct option is C.

The chi-square statistic contrasts the actual values with what was anticipated. The discrepancy between the values observed and expected is tested using this test statistic to see if it is statistically significant.

Tall and purple flower observed valve = 860

Dwarf and purple flower observed valve  = 285

Tall and pink flower observed valve = 340

Dwarf and pink flower observed valve = 115

Total no. of flower = 860 + 285 + 340 + 115

                              = 1600

The ratio given is 9: 3: 3: 1

Expected no. for Tall and purple = 100(9/16) = 900

Expected no. for Dwarf and purple = 1600(3/16) = 300

Expected no. for Tall and pink   = 1600(3/16) = 300

Expected no. for Dwarf and pink = 1600(1/16) = 100

chi-square value  = ∑ (objered value - expected value)² /Expected value

                        = [tex]\begin{aligned}\frac{(860-900)^2}{900}+\frac{(285-300)^2}{300}+\frac{(340-300)^2}{300} +\frac{(115-100)^2}{100}\end{aligned}[/tex]

                         = 1.778 + 0.75 + 5.333 + 2.25

                         = 10.111

The value is 10.111

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I understand that the question you are looking for is:

A dihybrid plant was crossed; the F2 generation consisted of: 860 tall plants with purple flowers; 285 dwarf, purple plants; 340 tall, pink plants; and 115 dwarf, pink plants. The data remind you of a 9:3:3:1 ratio. What is the chi-square value in the test of this hypothesis?

a. 0.377;

b. 7.5;

c. 10.11;

d. 11.08;

e. 15.78

4x-8=-2x + 20

4x+2x= 20 + 8

6x=28

x=28 : 6

x= 4,6

Answer:0.02709

Step-by-step explanation: Just mutiple both of the numbers

Answer:

0.02709

Step-by-step explanation:

Just use your calculator to multiply the numbers

hope it helps, please give brainliest

Answer:

33 days or 5 weeks

Step-by-step explanation:

the coefficient "b" (the one with the linear term) is 12.

The general quadratic equation is:

a*x^2 + b*x + c = 0

I guess that you want to find the coefficient "b" on the given equation.

Then we can just expand the given quadratic equation:

(2x + 3)^2 = 0

(2x + 3)*(2x + 3) = 0

Expanding that we get:

4x^2 + 6x + 6x + 9 = 0

4x^2 + 12x + 9 = 0

So the coefficient "b" (the one with the linear term) is 12.

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Answer:here is ur answer

Solution (b): The function y = f (x + 5) is of the form y = f (x + c). Therefore, the graph of y = f (x + 5) will be the same as that of f (x) but shifted to.

step-by-step explanation: i really hope this helps lmk if i am wrong (: <3