Carlos is using the distributive property to evaluate the expression 14 (49) by using friendlier numbers. His work is shown below. Carlos’s Work 14 (49) Step 1 14 (40 + 9) Step 2 14 (40) + 9 Step 3 560 + 9 Step 4 569 What was the first error that Carlos made?

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Answer:

[tex]\Huge \boxed{4}[/tex]

Step-by-step explanation:

-11 is subtracted from -7.

Subtracting a negative number from another number means there will be a minus sign followed by another negative sign from that negative number.

[tex]\Rightarrow -7-(-11)[/tex]

Distribute negative sign.

[tex]\Rightarrow -7+11[/tex]

Adding.

[tex]\Rightarrow 4[/tex]

Explanation:

There is only one way to get a sum of 18 and that is rolling three '6's to get 6+6+6 = 18.

There are 6*6*6 = 216 different ways to roll three dice.

Divide the two values to get 1/216

Answer:

BECAUSE YOU ARE TRYING TO BE CONVINCE THAT THE PROOF IS TRUE,AND IT IS EASIER TO JUSTIFY

Step-by-step explanation:

Answer:

4.2 or 4

Step-by-step explanation:

√18 = 4.24264068712

or 4.2

or 4

Answer:

D. 22.5

Step-by-step explanation:

By the property of intersecting tangent and secant outside of the circle, we have:

x° = 1/2[(4x+5)° - 50°]

2x° = [(4x+5)° - 50°]

2x° = (4x-45)°

2x = 4x - 45

45 = 4x - 2x

45 = 2x

x = 45/2

x = 22.5

Answer:

B

Step-by-step explanation:

Answer:

1 inch represents 1 mile

66330 inches represent 1 mile

Convert to feet = 5280 feet for every mile

So if the map shows y = 1 1/4  then this means 1 1/4 miles

which would make the decimal of y = 1.25

which makes x = 5280 x 1.25 = 6600

We can just convert to decimalization the ' length of y in inches' and multiply by 5280 to find our answer.

= y * x   = (1 .) + additional)  * 1 * 5280

Not forgetting the above decimal if under 2 inches.

Or in any measure including if over 2 inches we can use

= measure of y  * 5280  = (  ) answer

If [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.

A map is a visual representation of an entire area or a part of an area, typically represented on a flat surface.

Mile is a measure of length, in one mile there 1.6 kilometers.

We  have,

[tex]1[/tex] inch [tex]=y[/tex] miles

Then,

[tex]x[/tex]  feet will represent miles on map will be as

We know that,

[tex]1[/tex] feet [tex]=12[/tex] inch

So,

According to question,

Miles represented by [tex]x[/tex] feet [tex]=12y[/tex] miles

Because according to the above given statement we came to know that in [tex]1[/tex] feet there are [tex]12[/tex] inches.

Hence, we can say that if [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.

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Answer:

2gramm/millimeters

Step-by-step explanation:

From the question we were given 5

gram ball with a volume of 2.5 milliliters.

Then What is the density of the ball?

Density of a substance is the mass of the substance per it's unit volume

It can be expressed below as

Density= mass/ volume

Mass= 5gram

Volume= 2.5millimetre

Then substitute we have

Density=5/2.5

=2g/mm

Therefore, density of the ball is 2gramm/millimeters

Answer:

[tex]4\frac{1}{6}[/tex]

Step-by-step explanation:

To find this, first, we need to ask ourselves, "how many times does 6 go into 25?" The answer is 4 because 6 * 4 = 24 with 1 left over. Therefore, we know that the whole number is 4 and the fraction is 1/6, so the answer is [tex]4\frac{1}{6}[/tex].

Answer:

4\frac{1}{6}      

;-)

Step-by-step explanation:

plz crown   'o'

Answer:

8

Step-by-step explanation:

think about this: which number has the bigger distance from 0 on a number line.

-4  -3  -2  -1  0  1  2  3  4  5  6  7  8

You can see the distance between -4 and 8. Because 8 is eight spaces away from zero, and -4 is 4 spaces away from zero, we can see that 8 is bigger

The 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.

To compare the numbers -4 and 8, we can use the number line or basic numerical comparison. On the number line, -4 is to the left of 8, indicating that 8 is greater. Additionally, we can verify this by subtracting -4 from 8, which gives us 12 (8 - (-4) = 12). Since 12 is positive, 8 is indeed greater than -4.

In numerical comparison, when a positive number is compared to a negative number, the positive number is always greater. This is because negative numbers are "less than" zero, and positive numbers are "greater than" zero.

In conclusion, 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.

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Answer:

16.81

Step-by-step explanation:

Given:

Number = 4.1

Find:

Square of the given number

Computation:

[4.1]²

⇒ [4.1] × [4.1]

⇒ 16.81

If Janine square 4.1 by assuming (round off) 4 as an integer number then gets 16, which means Janine's estimate would be considered appropriate.

Answer:

Step-by-step explanation:

g - 3 >= 17

g >= 20

The inequality for the given statement 3 less than g is greater than or equal to 17 can be represented as g - 3 ≥ 17.

Inequality shows relation between two expression which are not equal to each others.

The given statement is,

3 less than g is greater than or equal to 17.

To write inequality for the Statement,

Let g is variable,

3 less than g =  g - 3

g -3 is greater than or equal to 17,

Implies that,

g - 3 ≥ 17.

The required inequality is g - 3 ≥ 17.

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Answer:

C. -1/2, 2, √5, √16, 4,05

Step-by-step explanation:

When ordering numbers from least to greatest first comes negative values then we compare all positive expressions

2 is smaller than √5 because it's approximately 2.2 and then comes √16 because it's equal to 4 and finally comes 4.05

Answer:

  -7/18

Step-by-step explanation:

You know that 8/9 = 0.888.... repeating, so this value is effectively ...

  [tex]-0.3\overline{8}=-\left(\dfrac{3}{10}+\dfrac{8}{90}\right)=-\dfrac{3(90)+10(8)}{(10)(90)}=-\dfrac{350}{900}=\boxed{-\dfrac{7}{18}}[/tex]

__

Of course, you can use your calculator to determine which answer choice has the given decimal equivalent.

Answer:

Something like this

Step-by-step explanation:

distance √(-1 - 5)² + (-6 - -4)² = √36 + 4 = √40 = 6.32

slope = 2/-6 = -1/3

distance (-1,-4) to (0, -4.63)

√(-1 - 0)² + (-4 - -4.63...)² = √1.4 = 1.18

6.32 - 1.18 = 5.14

1.18 : 5.14

Answer:

ratio 5:1

coordinates (0,-13/3)

Step-by-step explanation:

let any point on y-axis  (0,y)  divides the join of A(5,-6) and B(-1,-4) in the ratio k:1

[tex]0=\frac{-1(k)+1(5)}{k+1} \\or~0=-k+5\\or~ k=5\\\therefore ~y-axis~ divides ~A,B~in~the~ratio~5:1\\y=\frac{5(-4)+1(-6)}{5+1} =\frac{-26}{6} =-\frac{13}{3}[/tex]

so coordinates of point of intersection are (0,-13/3)

Answer:

7

Step-by-step explanation:

8+3³/12-7

8+27/5

35/5

7

Answer:

i think is 10

Step-by-step explanation:

.............e

Answer:

Coordinates of the point P are [tex](-\frac{29}{7},-1)[/tex]

Step-by-step explanation:

If a point P(x, y) divides the line AB into the ratio of m : n, coordinates of this point will be,

x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

y = [tex]\frac{my_2+ny_1}{m+n}[/tex]

In the given question m : n = 3 : 4

And the coordinates of A and B are (-5, -4) and (-3, 3) respectively.

x = [tex]\frac{3(-3)+4(-5)}{3+4}[/tex]

x = -[tex]\frac{29}{7}[/tex]

y = [tex]\frac{3(3)+4(-4)}{3+4}[/tex]

y = -1

Therefore, coordinates of the given point P are [tex](\frac{29}{7},-1)[/tex].

Answer:7.84 X 10-3 m2

Step-by-step explanation:

A researcher received 9 shipments of 3.49 x 1010 cells to go along with the 1.2 x 109 cells she had already received. How many total cells has she received? A. 4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011

4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011

=7.84 X 10-3 m2

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If u r still reading this...

the answer is...

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try translating it lol

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Answer:

Step-by-step explanation:

[tex] \sf{ \frac{3}{8} - ( - \frac{1}{12} )}[/tex]

We know that , [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

⇒[tex] \sf{ \frac{3}{8} + \frac{1}{12} }[/tex]

Take the L.C.M ( Least Common Multiple )

L.C.M of 8 and 12 = 24

⇒[tex] \sf{ \frac{3 \times 3 + 1 \times 2}{24} }[/tex] { 24 ÷ 8 = 3 , ∴ 3 × 3 and 24 ÷ 12 = 2 ,∴ 1 × 2 }

Multiply the numbers

⇒[tex] \sf{ \frac{9 + 2}{24} }[/tex]

Add the numbers

⇒[tex] \sf{ \frac{11}{24} }[/tex]

Hope I helped !

Best regards!

Answer:

189/500

Step-by-step explanation:

[tex]0.378\\\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}\\\\\mathrm{There\:are\:}3\\\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\\\:therefore\:multiply\:and\:divide\:by\:1000}\\\\=\frac{0.378\timess \:1000}{1000}\\\\=\frac{378}{1000}\\\\\frac{378}{1000}:\quad \frac{189}{500}[/tex]

Answer:

x = sqrt(17)

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2

Let the unknown side be x

8^2 + x^2 = 9^2

64 + x^2 = 81

Subtract 64 from each side

x^2 = 81-64

x^2 =17

Taking the square root of each side

x = sqrt(17)

Answer:

x = √17

Step-by-step explanation:

Your question have a right triangle.

So, we could use the Pythagorean Theorem.

Pythagorean Theorem is a² + b² = c².

So, 8² + n² = 9².

8² is 64, and 9² is 81.

So, 'n' is 81 - 64.

Let's see... 81 - 64 is 17.

So, It is √17.

Because when you use the Pythagorean Theorem, it is 8² + (√17)² = 9².

Otherwise, 64 +  (√17)² = 81.

And, √17 is 4.12 when rounding to a hundredth.

Hope it helps!

Bye!

Answer:

[tex]\Large \boxed{\mathrm{Option \ B}}[/tex]

Step-by-step explanation:

The equation is in the form ax² + bx + c = 0.

x² - c = 0

1x² + 0x + -c = 0

Where : a = 1, b = 0, and c = -c

c > 0

The quadratic equation can always be factored if c is a square number

c can be a square number and the quadratic equation can be solved by using the difference of two squares formula.

x is squared so it can be solved by isolating x on one side by adding c to both sides and using the square root property.

Answer:

[tex]\huge\boxed{Option \ B}[/tex]

Step-by-step explanation:

[tex]x^2 - c = 0[/tex]

This equation is in a quadratic form since:

=> It has the highest power of x as 2. Those equations are quadratic equations in which the highest power of x is 2.

=> However, Those quadratic equation in which b = 0 , and they are like either [tex]ax^2 + c = 0 \ OR \ ax^2-c = 0[/tex], They are called pure quadratic equation.

So, [tex]x^2 - c = 0[/tex] is a quadratic equation.

Answer:

Each ticket cost 4.05

Step-by-step explanation:

Start by finding what is 60% of 13.50 = 0.6 * 13.50 = 8.10

since this is what both tickets cost, then one ticket for the theater was half of this value, that is: 8.10 / 2 = 4.05

Step-by-step explanation:

(1) The range of set A is greater than the range of set B.

This statement  gives only the range which means only outermost values but what about the other values. For example-11,0,0,0,11 and -10,-10,0,10,10

Clearly, Former one has higher range but lower standard deviation.

(2) Sets A and B are both evenly spaced sets.

Evenly spaced is fine. However, we don't know the spacing since that is required to know the deviation.

For, example, sets A{2,4,6,8,10} and B {1,2,3,4,5} so in this case SD of A> SD of B. Or,  we can have B{2,4,6,8,10} and A{1,2,3,4,5} so in this case SD of B> SD of A.

Answer:2/3 is the same

Step-by-step explanation:

Answer:

B. 2

Step-by-step explanation:

a1,1=1

a1,2=2

a1,3=3

a2,1=4

a2,2=5

a2,3=6

a3,1=7

a3,2=8

a3,3=9

The expression a₁₋₂ represents the term present in the first raw and the second column which is 2. Then the correct option is B.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The dimensions of a matrix are the product of the number of raw and the number of columns, which is known as a dimension of a matrix.

The matrix is given below.

[tex]\rm A = \begin{bmatrix}1 & 2 & 3\\ 4 & 5 & 6\\ 7 & 8 & 9\end{bmatrix}[/tex]

The 'i' represents the number of raw and 'j' represents the number of columns. Then the matrix is given as,

In the grid, a₁₋₂ addresses the term present in the primary crude and the second segment which is 2. Then, at that point, the right choice is B.

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Answer:

-10

Step-by-step explanation:

Plug in 0 to the equation ('cause y-intercept is found when "x" =0), and u get -10.

The constant is typically the y-intercept.

Answer: About 175 homeruns

Step-by-step explanation:

For every 135 games played, he hit 22 home runs, which makes an average of 1 home run every 6.136 games. Take that number and divide 1075 by it.

1075 / 6.136 = about 175.

Carlos Gonzales hits 175 runs in his total of 1075 games in his career.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Number of games played by Carlos Gonzales = 135.

And runs hit by Carlos Gonzales = 22 runs.

To find the runs hit by Carlos Gonzales in 1075 games,

Use ratio property,

In 135 games = 22 runs hit,

in 1 game = 22 / 135 runs hit,

In 1075 games = (22/135)x1075 = 175.18 = 175 (approx)

The runs hit by Carlos Gonzales in 1075 games is 175.

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