How should the decimal point in 52.48 be moved to determine the product 52.48×105 ?

Answer:

30

Step-by-step explanation:

4.5(32÷8)+12

32/4 = 4

4.5 x 4 = 18

18 + 12 = 30

Answer:

30

Step-by-step explanation:

PEMDAS

32/8 =4

4.5*4=18

18+12=30

Answer: 26

Step-by-step explanation: you divide 468 and 18 and you get 26.

Answer:

-1

Step-by-step explanation:

X = 2

Lets substitute the equation:

3*2 + y = 5

6 + y = 5

Using equation rules.

y = 5-6

Therefore y = -1

Answer:

y=-1

Step-by-step explanation:

3x+y=5

When x=2

Substitute the value of x in the above equation

3(2)+y=5

6+y=5

Collect like terms

y=5-6

y=-1

Answer:

Step-by-step explanation:

[tex]\frac{x^{4}+6x^{3}+5x^{2} -15x-2} {x+3}[/tex]

Answer:

Option 4

Step-by-step explanation:

x + 3 x = -3

(-3)⁴ + 6(-3)³ + 5(-3)² - 15(-3) - 2

= 7

Remainder is 7, so not a factor

Answer:

x=4

Step-by-step explanation:

-8-x=x-4x

Combine like terms

-8 -x =-3x

Add x to each side

-8 -x+x = -3x+x

-8 = -2x

Divide each side by -2

-8/-2 = -2x/-2

4 = x

Answer:

[tex]\large \boxed{\text{3 apples and 6 bananas}}[/tex]

Step-by-step explanation:

 Let a = the number of apples

And b =  the number of bananas. Then,  

[tex]\begin{array}{rcll}(1) \, 1.75a + 0.40 b & = & 7.65&\\(2)\, \, \, \, \quad \qquad a + b & = &9&\\(3) \, 0.40a + 0.40b & = &3.60&\text{Multiplied (2) by 0.40}\\1.35a & =&4.05\\(4) \, \, \quad \qquad \qquad a & =& \mathbf{3}&\text{Divided each side by 1.35}\\3 + b & = &9& \text{Substituted(4) into (2)}\\b &=& \mathbf{6}&\text{Subtracted 3 from each side}\\\end{array}\\\text{They bought $\large \boxed{\textbf{3 apples and 6 bananas}}$}[/tex]

Check:

[tex]\begin{array}{cccl}3(1.75) + 6(0.40) = 7.65 & \qquad & 3 + 6 = 9\\5.25 + 2.40 = 7.65 & \qquad & 9 = 9\\7.65 = 7.65 & \qquad & \\\end{array}[/tex]

OK.

Alexandra bought 3 apples and 6 bananas

Number of apples = a

Number of bananas = b

From the information given, the equation to use will be:

a + b = 9 ....... i

1.75a + 0.40b = 7.65 ...... ii

From equation i, a = 9 - b ...... iii

Put equation iii into ii

1.75a + 0.40b = 7.65

1.75(9 - b) + 0.4b = 7.65

15.75 - 1.75b + 0.4b = 7.65

Collect like terms

-1.75b + 0.4b = 7.65 - 15.75

-1.35b = -8.1

b = 8.1/1.35

b = 6

She bought 6 bananas

Number of apples bought = 9 - 6 = 3 apples.

Therefore, Alexandra bought 3 apples and 6 bananas

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Answer:

That is a cylinder and cylinder volume = PI * radius^2 * height

radius = x + 5

height = x

volume = PI * (x + 5)^2 * x

volume = PI * (x^2 + 10x + 25) * x

volume = PI * x^3 + 10x^2 + 25x

Step-by-step explanation:

Answer:

36 bottles for 4 is a slightly better deal per bottle.

Step-by-step explanation:

The cost per bottle is 0.1111111$ per bottle in the 36 pack.

Answer:

36 bottles for $4

Step-by-step explanation:

First you need to calculate the price for one bottle, the lower the cost, the better buy. Do this by dividing the price by the amount of bottles:

= $3 ÷ 24

= 0.125 cents

= $4 ÷ 36

= 0.111 cents

The cheaper option and the better buy is the 36 bottles for $4.

Answer:

Hi there!

The correct answer is: Counterclockwise rotation about the origin by 90 degrees then followed by reflection about the x axis

Answer:

Option 1

Counterclockwise rotation about the origin by 90° followed by a reflection about the x-axis

Answer:

Equation 1: x + y = 10

Equation 2: y = 4x

Step-by-step explanation:

its right kekkek

Therefore, the equation is of the form

[tex]x+y=10[/tex]

[tex]y=4x[/tex]

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

The sum of two numbers is [tex]10[/tex]. The larger number is [tex]4[/tex] times the smaller number.

Let the smaller number is [tex]x[/tex]

Let the larger number is [tex]y[/tex]

The first equation is [tex]x+y=10[/tex] nad the second equation is [tex]y=4x[/tex].

Hence, the equation is of the form

[tex]x+y=10[/tex]

[tex]y=4x[/tex]

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Answer:

x=-7

Step-by-step explanation:

9x + 16 = 4x - 19

Subtract 4x from each side

9x-4x + 16 = 4x-4x - 19

5x+16 = -19

Subtract 16 from each side

5x+16 -16 = -19-16

5x = -35

Divide each side by 5

5x/5 = -35/5

x = -7

Answer:

x = -7

Step-by-step explanation:

in order to solve this , make x the subject of formula:

9x + 16 = 4x - 19

9x + 16 - 4x = -16

5x = -19 - 16

5x =-35

x = -35 / 5

Answer:

x= -6

Step-by-step explanation:

first you want to get rid of the 4 so on both sides you subtract 4

4-x²=-32

-4      -4  that will then make the problem

-x²= -36 to get rid of the square you must do the opposite, square root ([tex]\sqrt{36}[/tex]) so it will get rid of the ²

-x= 6 then you have to get rid of the neggative on x so you will add a negative to 6

x=-6

Answer: the square root of 17 is irrational.

Step-by-step explanation:

17 can not be divided evenly therefor it is irrational

Answer:

Marvin has 30 dollars

Step-by-step explanation:

there are 6 five dollar bills you could either multiply or add theses numbers.

1            2              3              4                 5                6

5           10            15            20              25               30

Answer:

they are always positive

Step-by-step explanation:

they are always positive because two negatives equal a positive.

If both the integers are negative, then their sum is always negative.

We need to find if both the integers are negative, then what is their sum.

Adding integers is the process of finding the sum of two or more integers. It may result in an increase or a decrease in value, depending on whether the integers are positive or negative or a mixture. The addition of integers is an arithmetic operation performed on integers with the same sign or with different signs to find the sum.

Therefore, if both the integers are negative, then their sum is always negative.

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Answer:

yes

Step-by-step explanation:

Answer:

C. Individual citizens have the freedom to take risks and improve their lives.

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

The unit rate is:  change in y over change in x

This graph goes up 2 and moves to the right 5, that means it is 2/5

Answer:  2/5

The cross-section will be a 10-sided polygon only when the plane makes a narrow angle with the base, i.e. it will cut one base and 8 edges of the prism, resulting in there being 10 points of intersection, leaving a 10-sided polygon as the cross-section.

Answer:

D

Step-by-step explanation:

I took it rate this one

Answer:

The height is 5 in

Step-by-step explanation:

V = l*w*h

Substitute in what we know

360 = 24 *3*h

360 = 72h

Divide each side by 72

360/72 = 72h/72

5 = h

The height is 5 in

Answer:

The height is 5 inches

Step-by-step explanation:

Knowing that he volume of a rectangular prism is V = L*W*H, it is given that V = 360, L = 24, and W = 3. Substitute these values into the equation and get 360 = 24*3*H. This can simplify to 360 = 72*H and by dividing both sides by 72, you get H = 5. This means that he height is 5 inches.

Final answer:

The unit rates in lawns per day for Michael, Trina, and Vanessa are 8/3, 5/2, and 9/4 respectively. The unit rates are in order from least to greatest.

Explanation:

To find the unit rate in lawns per day for each person, we will divide the number of lawns mowed by the number of days it took for each person.

For Michael, he mowed 8 lawns in 3 days, so the unit rate is 8/3 lawns per day.

For Trina, she mowed 5 lawns in 2 days, so the unit rate is 5/2 lawns per day.

For Vanessa, she mowed 9 lawns in 4 days, so the unit rate is 9/4 lawns per day.

Placing the unit rates in order from least to greatest, we have:
Trina: 5/2 lawns per day
Michael: 8/3 lawns per day
Vanessa: 9/4 lawns per day

Answer: 66cm^3

Step-by-step explanation:AB=a2

V=a2h

3

Solving forV

V=ABh

3=11·18

3=66cm³

Today the age of sun is 6 years.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

Father's present age is five times of his son's age.

Let son's age is x years,

Then father's age will be 5x.

Also, three years  ago the sum of their ages was 30.

Three years ago the age of son and father will be x - 3 and 5x - 3.

Since, the sum = 30

x - 3 + 5x - 3 = 30

6x - 6 = 30

6x = 36

x = 6

The age of son is 6 years.

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Step-by-step explanation:

Step 1: Given

BD bisects ∠ADC

Step 2: Given

BD ⊥ AC

Step 3: Corresponding Parts of Congruence Triangles are Congruent

∠1 ≅ ∠2

Step 4: By definition of perpendicular

∠ABD = ∠CBD = 90° (BD ⊥ AC )

∠3 and ∠4 are right angles.

Step 5: By CPCTC,

∠3 ≅ ∠4

Step 6: Reflexive postulate

Any side or angle is reflexive to itself.

DB ≅ DB

Step 7: ASA postulate

∠1 ≅ ∠2 (A),   DB ≅ DB (S)   and   ∠3 ≅ ∠4 (A),

∴ ΔABD ≅ ΔCBD (by ASA)

Step 8: By Corresponding Parts of Congruence Triangles are Congruent

DA ≅ DC

Step 9: Opposite sides of a triangle are equal.

ΔACD is isosceles.

Hence proved.

Final answer:

The probability of drawing a yellow or green marble from a bag with various colored marbles is calculated by adding the individual probabilities of drawing a yellow marble and a green marble. Since there are 8 yellow and 2 green marbles out of a total of 20, the combined probability is 0.5 or 50%.

Explanation:

The question relates to the probability of drawing a yellow or green marble from a bag containing marbles of various colors. To find this probability, we must consider the total number of marbles and the number of yellow and green marbles specifically. If a bag contains 3 blue, 2 green, 8 yellow, 4 red, and 3 orange marbles, the total count of marbles is 20.

The probability of drawing a yellow marble (P(Yellow)) is the number of yellow marbles divided by the total number of marbles, which is 8/20 or 0.4. The probability of drawing a green marble (P(Green)) is the number of green marbles divided by the total number of marbles, which is 2/20 or 0.1.

The combined probability of drawing either a yellow or a green marble is found by adding the individual probabilities because these two events are mutually exclusive (they cannot both happen at the same time). So, the probability of drawing a yellow or green marble (P(Yellow or Green)) is P(Yellow) + P(Green) = 0.4 + 0.1 = 0.5.

Therefore, the probability of drawing a yellow or green marble is 0.5 or 50%.

Answer:

C) angles are congruent and all corresponding pairs of sides are congruent a similarity transformation alt corresponding pairs

The correct statement for similarity transformations is D) In a similarity transformation, all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.

A similarity transformation is a type of transformation that preserves the shape of a figure but can change its size and orientation. It is characterized by the property that all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.

The statement that is NOT TRUE for similarity transformations is A) A similarity transformation is a composition of a finite number of dilations or rigid motions.

A similarity transformation is a type of transformation that preserves the shape of a figure but can change its size and orientation.

The correct statement for similarity transformations is D) In a similarity transformation, all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.

This means that the angles in the original figure and the transformed figure are equal, and the ratio between corresponding side lengths remains the same.

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Answer:

8x - 5y - 13

Step-by-step explanation:

(6x - 3y - 12) - (2x +2y - 10)

(6x - 3y - 12) - 2x - 2y + 10

6x - 3y - 23 - 2x - 2y + 10

8x - 5y - 13

Answer:

4x+y=22

Step-by-step explanation:

6x+3y-12-(2x+2y)=10

Based on BODMAS we will have to deal with the bracket first

6x+3y-12-2x-2y=10

To continue with the solution we will have to collect like terms

That is,

6x-2x+3y-2y=10+12

4x+y=22

This can't be solved further because we don't really know the value of x and y...it can only be solved further by knowing the value of either x or y but we are not given...so we will have to leave our final answer to be

4x+y=22

Answer:B

Step-by-step explanation:On  usa test prep

The identification of the population and the sample for the given situation is option B. The population is all classrooms in the high school; the sample is the 10 classrooms selected.

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Answer:

984 cm^2

Step-by-step explanation:

Base: 10 × 24 = 240

Rectangular faces: 13 × 24 = 312 (×2 = 624)

Triangular faces: 12 × 10 = 120

Add: 240 + 624 + 120 = 984