Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer.

The number of candy bars Roland sold during the three weeks will be 152.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Roland sold 26 candy bars during the first week.

The number of treats he sold during the subsequent week was 4 under twice the quantity of pieces of candy he sold during the principal week.

Then the number of candies sold in the second week will be calculated as,

⇒ 2 x 26 - 4

⇒ 48

The number of sweet treats he sold during the third week was 6 a greater number than 1 ¹/₂ time the number of pieces of candy he sold during the subsequent week. Then the number of candies sold in third week will be given as,

⇒ 48 x (1 ¹/₂) + 6

⇒ 48 x 1.5 + 6

⇒ 72 + 6

⇒ 78

The total candies are calculated as,

⇒ 26 + 48 + 78

⇒ 152

The number of candy bars Roland sold during the three weeks will be 152.

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Final answer:

The product of 7 times 300 is 2100, which can be expressed as 7 times 21 hundreds when considering that 300 equals 3 hundreds.

Explanation:

The student asked to find the product of 7 times 300, which can be represented algebraically as 7 × 300. To express this in terms of hundreds, we would have 7 × 3 hundreds, since 300 is the same as 3 hundreds. Following the multiplication of 7 and 3, we get 21 hundreds, which is equal to 2100. Therefore, the completed statement would be 7 × 300 = 7 × 21 hundreds.

This multiplication utilizes the concept where multiplying by a power of ten, like hundreds (102), is equivalent to moving the decimal point to the right in this case by two places.

Answer:

1/221

Step-by-step explanation:

got it right on edge :)

both angles need to equal 180 degrees

3x+18 +5x+2 =180

8x+20 = 180

8x =160

x = 160/8 = 20

x = 20

It only gives the answerer half the points that you pay, for future reference.

divide total depth by time:

-56 /4 =14

 so it is diving at 14 miles per minute

 so after the first minute it was at -14 miles

Answer: $ 0.41

Step-by-step explanation:

Given : The Factors shot 5 rolls of film with 36 exposures on each roll.

i.e. One roll contains 36 exposures .

It cost $14.85 to process each roll.

Then, the cost to process each exposure will be :_

[tex]\$14.85\div36=\$0.4125\\\\\approx\$0.41\ \ \ \ [\text{ Rounded to the nearest penny}][/tex]

Therefore, the cost to process each exposure= $0.41

The modifications made to the list of assets and liabilities that would result in an increase in net worth is Option D. Net worth is defined as the value of all the non-financial and financial assets owned by an individual or an institution.

All of the above (Putting $100 in savings, Paying $100 on credit cards and Getting paid $100)

Its the letter D ik because i just do aha

Answer:

Wrong it is

Step-by-step explanation:

First, determine how many school days Holly attended.

182 - 7 = 175

Next, find the percentage of school days she attended.

175 ÷ 182 = 0.9615384615  96%

Holly attended approximately 96% of school days.

To calculate the percentage of school days Holly was in attendance, subtract the days missed from the total days and divide by the total days, then multiply by 100.

Holly missed 8 out of 182 school days this year. To find the percentage of days she was present, subtract the days missed from total days and divide by total days, then multiply by 100.

The number of the cups of sugar required for 5 cups of flour will be 5/3 cups.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

A recipe for sugar cookies requires 2 cups of flour for every 2/3 cup of sugar.

To Find: at this rate how many cups of sugar should we use if 5 cups of flour is included.

For recipe of Sugar cookie =

Sugar required for  cups of flour= [tex]\dfrac{2}{3}\ cup[/tex]

Sugar required for cup of flour= [tex]\dfrac{2}{3}\times \dfrac{1}{2}=\dfrac{1}{3}[/tex]

Now,

If 5 cups of flour is included

cups of sugar required

[tex]=5\times Number \ of \ sugar\ cups\ required\ for\ 1\ cup\ of\ flour\\[/tex]

[tex]=5\times \dfrac{1}{3}=\dfrac{5}{3}\ cups[/tex]              

Hence 5/3 cups  should be used if 5 cups of flour is included

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Answer:

8+8-1 = 15

Step-by-step explanation:

The doubles minus one is the technique to add two numbers which are consecutive.In this technique you add double the greatest number of the two consecutive and then subtract 1 from the result.

Here we have equation 8+7.

so doubling the greater number (8+8) or (8*2)  gives us 16.

then subtracting 1 from it (16-1) gives us 15

so 15 is our answer.

Using the doubles minus one strategy, the greater value of the expression is doubled and one subtracted from the sum. Hence, we have 8 + 8 - 1 = 15

Given the expression :

8 + 7

The greater value of the two digits is 8

Doubling the greater value : 8 + 8

Subtracting 1 from the sum of the doubled digit :

8 + 8 - 1 = 8 - 7 = 15

Therefore, the result of the expression is 15

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To find out how many cups are in 3 quarts of lemonade, you multiply the number of quarts (3) by the conversion factor of 4 cups per quart, giving you 12 cups of lemonade.

To answer the question, 3 quarts of lemonade is equivalent to how many cups, we will need to use the conversion between quarts and cups. In the United States customary system, 1 quart is equal to 4 cups. Therefore, to convert quarts to cups, you would multiply the number of quarts by 4.

To solve:

Thus, 3 quarts of lemonade is equivalent to 12 cups of lemonade.

The power of 10 she used will be 10⁵.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Yara multiplies and divides a certain number by the same power of 10. The product she gets is 40,000 and the quotient she gets is 0.000004.

40,000 = 4 x 10⁴

0.000004 = 4 x 10⁻⁶

The power of 10 exactly in between 4 and -6 is -1.

She started with 4 x 10⁻¹ which is 0.4.

0.4 x 100,000 = 40,000

0.4/100,000 = 0.000004

The number she started with is 0.4.

The power is 10⁵.

The power of 10 she used will be 10⁵.

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The equation of the line is [tex]\( y = \frac{1}{2}x - 2 \)[/tex].

To find the equation of a line with a given slope passing through a specific point, you can use the point-slope form of a linear equation: [tex]\( y - y_1 = m(x - x_1) \)[/tex], where ( m ) is the slope and [tex]\( (x_1, y_1) \)[/tex] is the given point.

Given that the slope [tex]\( m = \frac{1}{2} \)[/tex] and the point ( (2, -1) ), we substitute these values into the point-slope form:

[tex]\( y - (-1) = \frac{1}{2}(x - 2) \)[/tex]

This simplifies to:

[tex]\( y + 1 = \frac{1}{2}(x - 2) \)[/tex]

To remove the fraction, distribute [tex]\( \frac{1}{2} \)[/tex]:

[tex]\( y + 1 = \frac{1}{2}x - 1 \)[/tex]

Now, isolate ( y ) by subtracting 1 from both sides:

[tex]\( y = \frac{1}{2}x - 1 - 1 \)[/tex]

[tex]\( y = \frac{1}{2}x - 2 \)[/tex]

So, the equation of the line is [tex]\( y = \frac{1}{2}x - 2 \)[/tex].

Step-by-step explanation:

Let the mid-point of BC is M. So, the length of BM = MC.

The coordinates of B are (-6, 1) and coordinates of C are (5, -1). Therefore, using the distance formula find the distance as follows.

            d = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]

Place the values form points B and C into the above formula as follows.

         d = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]

            = [tex]\sqrt{(5- (-6))^{2} + ((-1)- (1))^{2}}[/tex]

            = [tex]\sqrt{(11)^{2} + (-2)^{2}}[/tex]

            = [tex]\sqrt{121 + 4}[/tex]

            = [tex]\sqrt{125}[/tex]

            = 11.18 (approx)

Therefore, the length of mid-point of line segment will be [tex]\frac{11.18}{2}[/tex] = 5.59 (approx). BM = MC = 5.59.

The length of line segment which is parallel to BC = [tex]\frac{d}{2}[/tex].