1. Bobbi is on a diet to lose weight. After losing 26 pounds, Bob weighs 231 pounds. What was Bobbi's weight
before his diet? Let x represent Bobbi's original weight.

The side length of the square is 2 units.

The area of square is equal to the square of its side. Mathematically -

Area = (side)²

Given is a square which is cut into 4 identical triangles such that each triangle has an area of 1 square unit.

Assume that the side of the square is 'x' units. Then we can say that -

The area of square of side 'x' units = 4 x area of an individual triangle.

Mathematically -

x² = 4 x 1

x² = 4

x = √4

x = ±2

Area cannot be negative, then we can write -

x = 2 units

Therefore, the side length of the square is 2 units.

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Step-by-step explanation:

x = ml of the 60% solution

y = ml of the 45% solution

x + y = 600

and therefore

x = 600 - y

0.6x + 0.45y = 0.5×600

we use the above identity in this equation :

0.6(600 - y) + 0.45y = 300

360 - 0.6y + 0.45y = 300

60 - 0.15y = 0

60 = 0.15y

y = 400 ml

x = 600 - y = 600 - 400 = 200 ml

Answer:

It is trapezium.

Step-by-step explanation:

1÷2×h[b1+b2]

For the given mapping diagram, we have that: C. Yes (one y-value for each x-value) it represent a function.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.

A domain can be defined as the set of all real numbers for which a particular function is defined and these include the following: {1, 2, 3, 4}.

In conclusion, we can reasonably infer and logically deduce that this mapping diagram represent a function because it has the different input values (x-values) for different output values (y-values).

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Answer:

Line a and line b have the same slope.

Answer: (7,11)

Step-by-step explanation:

Based on the numbers to be divided of 1,060 ÷ 33 to get a quotient, the mixed number in the simplest form is 32¹/₂ .

Finding the quotient of two numbers means that one of the numbers would have to divide the other number.

The quotient in this case is:

= 1,060 ÷ 33

= 32.1212

To convert this to mixed number, divide the decimal portion by the relevant power of 10:
= 32 + 1212/10,000

= 32 + 4/32

= 32 + 1/8

= 32¹/₂

In conclusion, the quotient of 1,060 ÷ 33 is 32¹/₂ .

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Each label should be dragged to the correct location in the equation as follows:

100 yards/1 × (3) feet/1 yards × (12) inch/1 foot × (2.54) cm/1 inch × 1 (meter)/100 cm = (91.44) meter

A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.

Conversion:

1 yard = 0.9144 meter

100 yards = X meters

Cross-multiplying, we have:

X = 0.9144 × 100

X = 91.44 meters.

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Answer:

5.049 x 10^11

She'd done the entire equation wrong

3 x 10^8 would be 300000000 when instead 10 should be to the power of 11 and 3 should be 5.049

Step-by-step explanation:

To rewrite something in scientific notation you have to group the numbers that aren't zero (5049) and convert it into a decimal (5.049)

(Decimals for scientific notations will ALWAYS have one number in the 1st digit, no matter what)

Then we see what we have to multiply our decimal to make it into our original number. We count the numbers in the decimal and the rest of our zeros (8+3=11)

5.049 x 10^11 = 504900000000

The measure of the third angle in the triangle is 152°.

It should be noted that a triangle has three sides and the sum of the total angles is 180°.

In this case, two of the angles in a triangle measure 20° and 8°. The third angle will be:

= 180° - (20° + 8°)

= 180° - 28°

= 152°

The angle is 152°.

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Answer:

The original price of the watch was 260pounds

Step-by-step explanation:

let the reduced price be x

(100%-15%)/100 of x=221

85x/100=221

85x=22100

there fore x=260pounds

Answer:

[tex]\frac{1}{12}[/tex] inch per hour

Hope this helps you!

Answer:

360

Step-by-step explanation:

Answer:

700 is your answer i am pretty sure. If not i am super sorry

Answer:

630

Step-by-step explanation:

If she owns 70 and each went up by 10 then 70*10=700

700-70=630

I am sure it is correct but if not,sory if it is wrong

In the picture there is a straight line which has a point where the 2 lines intersect. The angles are 90°, 30° and a is 60°.

Given that,

In the picture there is a straight line which has a point where the 2 lines intersect.

The angles are 90° and 30°.

We have to find the angle a.

A straight angle in geometry is an angle with a vertex point that is at 180 degrees. In essence, it creates a straight line with sides that face away from the vertex. "Flat angles" is another name for it.

So, we get,

90°+30°+a=180°

a=180°-90°-30°

a=180°-120°

a=60°

Therefore, the angle a is 60°.

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Answer:

Step-by-step explanation:

                          [tex]\boxed {b_n=b_1q^{n-1}}[/tex]

[tex]b_{12}=-12,288\ \ \ \ \ q=2\ \ \ \ n=12[/tex]

[tex]-12,288=b_1(2^{12-1})\\\\-12,288=b_1(2^{11})\\\\-12,288=b_1(2048)[/tex]

Divide both parts of the equation by 2048:

[tex]-0.006=b_1[/tex]

[tex]Thus,\ b_1=-0.006[/tex]

The equation of line is =1/2 x+1/2 .

A line equation is a straightforward mathematical formula that uses the slope, x-intercept, and y-intercept of the line to describe the relationship between the points on the line.

The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change.

y=mx+b

According to graph, points are (-1,0) and (1,1)

Hence we get –m+b=0 and m+b=1

On solving m = ½ and b = ½

The equation of line is =1/2 x+1/2 .

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Elizabeth is correct in evaluating the expression.

All the students are evaluating the expression

48÷4×2+2

For evaluating such an expression the order of operations need to be used.

The order of operations are:

So the expression 48÷4×2+2 is solved as:

48÷4×2+2

= 12 × 2 + 2

= 24 + 2

= 26

So 26 is the right answer and it is given by Elizabeth.

So Elizabeth is correct(26).

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Loretta would not have paid any taxes last year because her total earnings were below the €8625 threshold.

What is Percentage ?

A Percentage is a figure or ratio that is stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.

The total amount paid in tax from Cary's last year earning is £9640
Total earning last year = €34 500

Tax on earnings :
First €3500 = 0%
€3500 to €10 500 = 25%
Earnings above €10 500 = 35%
Therefore, tax paid on €34 500 :

Tax percentage × amount earned

First €10 500 earned = (25% × 10,500) = 2625

Excess above €10 500 = (34500 - 10500) = 24000

25% × 24000 = 6000

Therefore, the total tax amount = €(2625 + 6000) = €8625

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Yes, because all linear equations have graphs that are straight lines. This statement explains Roxanne is correct.

The first order of equations is linear equations. For lines in the coordinate system, linear equations are defined. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (one variable) in the equation.

There may be several variables in a linear equation. Linear equations with two variables, and so forth, are what the equation is known as if it has two variables. When the unknown values are replaced for those produced by the solutions of linear equations, the equation is proved to be true. There is just one answer when there is just one variable.

Hence the correct option is A

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The inequality expression given as 2 - |6 + 12x| > -28 has a solution of -3 < x < 2

From the question, the inequality is given as

2-|6+12x|>-28

Rewrite properly as

2 - |6 + 12x| > -28

Subtract 2 from both sides

- |6 + 12x| > -30

Divide both sides by -1

|6 + 12x| < 30

Remove the absolute bracket

So, we have the following representation

-30 < 6 + 12x < 30

Add -6 to all sides of the inequality

So, we have

-36 < 12x < 24

Multiply through by 1/12

So, we have

-3 < x < 2

Hence, the solution to the expression is -3 < x < 2

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The  system of equations that could be used to determine the price of each pound of raspberries and the price of each pound of grapes is:  44 x + 43 y = 217 , 45x + 18y = 144 .  Each pound of peaches cost $2 and each pound of grapes cost $3

x = price of each pound of peaches

y = price of each pound of grapes.

Given that yesterday,  he sold 44 pounds of peaches and 43 pounds of grapes for a total revenue of $217

So 44 x + 43 y = 217 be equation 1.

Also given that today he sold 45 pounds of peaches and 18 pounds of grapes for a total revenue of $144.

So 45x + 18y = 144 equation 2.

Multiplying equation 1 with 18 gives us,

792x +774y = 3906

Multiplying equation 2 with 43 gives us,  

1935x+774y = 6192

Solving these,

792x +774y = 3906

1935x+774y = 6192

---------------------------------------------

-1143 x=- 2286

x = 2286/ 1143

x = 2

Plug this value of x in equation 1 and solve for y, to get,

44 x + 43 y = 217

44 (2) + 43 y = 217

43 y = 217 − 88

43 y =129

y = 129/43

y = 3

Therefore each pound of peaches cost $2 and each pound of grapes cost $3

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Answer:

32

Step-by-step explanation:

Since l and m are parallel, the value of 2x is equal to 64.

64/2 = 32

When the weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6, the sample variance is D. 2.33.

It should be noted that in Mathematics, the variance simply means the average squared deviation of the mean.

From the information, the weights of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. Therefore, the sample variance will be illustrated thus:

N = number =7

Sum of the numbers = 28

Mean = 28 / 7 = 4

Sample variance will be:

= (4 - 4)² + (2 - 4)² + (5 -4)² + (4 - 4)² +(5 - 4)² +(2 -4)² + (6 - 5)²

= 14 / 6

= 2.33

Therefore, the variance is 2.33.

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Answer:

x = 17

Step-by-step explanation:

Mean of a set of data values = Sum of the data values ÷ number of data values

Here we have data:
18,23,x,22, and 20

Sum = 18 + 23 + x + 22 + 20 = 83 + x

Number of data points = 5

Mean = (83 + x) / 5 = 20 (given)

Multiplying both sides by 5 gives
83 + x = 20 x 5
83 + x = 100

Subtract 83 from both sides to give
x = 100 -83 = 17

x = 17

Answer:

Step-by-step explanation:

if 20 is the mean of 18,23,x,22, and 20 find the value of x​

(18 + 23 + x + 22 + 20) : 5 = 20

18 + 23 + x + 22 + 20 = 20 * 5

83 + x = 100

x = 100 - 83

x = 17

------------------------

check

( 18 + 23 + 17 + 22 + 20) : 5 =

100 : 5 =

20

the answer is good

Answer:

a: -$4

b:45

Step-by-step explanation:

First, you just divide the total amount lost by the number of shares. because it is a loss it's going to be a negative number. For the second one, you want the total so you are going to multiply 45 by 9 and because it's an increase, the answer is a positive number.

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

[tex]\huge\textsf{Question \#1 reads \boxed{\downarrow}}[/tex]

[tex]\large\text{Ivanna owns \underline{6 shares} of a certain stock. Yesterday the total value of}\\\large\text{her shares went down by \underline{24 dollars}. \boxed{\text{What was the change in value}}}\\\large\text{\boxed{\text{for each share}} ?}[/tex]

[tex]\huge\textsf{What should the equation look like?}[/tex]

[tex]\mathsf{\dfrac{24}{6} = change\ in\ value\ for\ each \ share}}[/tex]

[tex]\huge\textsf{How are we going to solve for the answer?}[/tex]

[tex]\mathsf{\dfrac{24\ dollars}{6\ certain \ stock} = change\ in\ value\ for\ each \ share}}[/tex]

[tex]\mathsf{24\ dollars \ \div\ 6\ certain\ stock\ = change\ in\ value\ for\ each \ share}[/tex]

[tex]\mathsf{4 = change\ in\ value\ for\ each \ share}}[/tex]

[tex]\huge\textsf{So, what s the answer to the question?}[/tex]

[tex]\large\text{Therefore, your answer should be: \boxed{\mathsf{4\ dollars}}}\large\checkmark[/tex]

[tex]\huge\textsf{Question \#2 reads \boxed{\downarrow}}[/tex]

[tex]\large\text{A private club grew by \underline{9 members} each week for \underline{45 weeks}. \boxed{\text {What}}}\\\large\boxed{\text{was the total change in the clubs size}} \large\text{ ?}}[/tex]

[tex]\huge\textsf{What should the equation look like?}[/tex]

[tex]\mathsf{\dfrac{45\ weeks}{9\ members} = total\ change\ in \ the\ clubs \ size}[/tex]

[tex]\huge\textsf{How are we going to solve for the answer?}[/tex]

[tex]\mathsf{\dfrac{45\ weeks}{9\ members} = total\ change\ in \ the\ clubs \ size}[/tex]

[tex]\mathsf{45\ weeks\ \div \ 9\ members = total\ change\ in\ the\ clubs\ size}[/tex]

[tex]\mathsf{5 = total\ change\ in\ the\ clubs\ size}[/tex]

[tex]\huge\textsf{So, what s the answer to the question?}[/tex]
[tex]\large\text{Therefore, your answer should be: \boxed{\mathsf{5\ members}}}\large\checkmark[/tex]

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

Answer:

ABC

Step-by-step explanation:

BECAUSE THEY ARE OPPOSITE