question 1: Harry has 4 ⅞ of a pizza and Mary has 1 ⅞ of a pizza. What is the estimated total of pizza they have together? ________

question 2: Sally has 5 ⅜ of a candy bar. She gives Omar 2 1/4 of the candy bar. Using benchmark fractions, determine how much of the candy bar Sally has left. Remember to estimate. _________

PLEASE HELP ASAP!!!

The solution of the expression   12 + [2 - (4 × a²)] ÷ 7 + b with the given values of a and b (using BODMAS) is -1 .

Given,

Equation is :     12 + [2 - (4 × a²)] ÷ 7 + b

Values of a and b are; 5 and 1 respectively

Substitute the values of a and b into the equation

12 + [2 - (4 × 5²)] ÷ 7 + 1

Using BODMAS :

solve the expression that is in the bracket first :

⇒ 12 + [2 - 100] ÷ 7 + 1

⇒ 12 + [-98] ÷ 7 + 1

Solve the division next :

⇒ 12 - 14 + 1

Solve the addition next :

⇒ 13 - 14

Solve the subtraction next :

⇒ -1

Therefore, the solution of the expression with the given values of a and b is - 1

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answer

Step-by-step explanation:

they two are in a straight line so

it can be added

or, 3x+2+6x-20=180[straight angle]

or, 9x-18=180

or, 9x=180+18

or, 9x=198

or, x=198÷9

or, x=22

the value of x is 22

No, an isosceles triangle is not always 90 degrees

Two of a triangle's sides must be the same length for the triangle to be considered isosceles. The third side, which is not equally long as the first two, is referred to as the base. The angle at the vertex opposite to the base is obtuse, acute, or right angle and the angles at the vertex opposite to the base are congruent.

Not all angles in an isosceles triangle are 90 degrees. A triangle with equal-length sides is called an isosceles triangle, although the angles at the vertex opposite the equal sides might be of any degree. The isosceles right triangle, the golden triangle, the faces of bipyramids, and some Catalan solids are all examples of isosceles triangles.

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The y-intercept is (0,9)

The y-intercept of a linear equation in the form of y = mx + b is represented by the constant term, b. In this case, the y-intercept is 9. This means that the line represented by this equation crosses the y-axis at the point (0, 9).

To find the y-intercept, we can substitute x = 0 into the equation, y = 10x + 9 and we get:

y = 10(0) + 9

y = 9

So the y-intercept is (0,9)

A linear equation is an equation that can be written in the form of y = mx + b, where m is the slope (or rate of change) and b is the y-intercept (the point where the line crosses the y-axis).

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Answer: 8 yd

Step-by-step explanation:

12 - 4 = 8

u can see that the side below the side x is "side x + 4" so if we substract 12-4 we get 8

The shortcut method of dividing a polynomial by a linear polynomial by using only the coefficients of the terms of the polynomial is called synthetic division.

Synthetic division is a simplified method of dividing a polynomial by a linear polynomial. It is used to divide a polynomial by a linear polynomial that is of the form x-c, where c is a constant. The synthetic division method is based on dividing the polynomial by the linear polynomial by using the coefficients of the terms of the polynomial.

The quotient and the remainder of the division are obtained by performing a few simple arithmetic operations. It is a quick and efficient way to divide polynomials and is particularly useful when dividing polynomials with large degrees

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Answer:

Part 1

The triangle is an isosceles triangle because it has no equal sides. The measurement of B will equal 95°.

Step-by-step explanation:

1.It has no equal sides

2.180° in a triangle, added the other degrees given, then subtracted 180 by the added degree sum.

you figure out the shortest to longest side by looking at the degrees.

Where 30° is, the opposite line from it is the seat tube . Meaning its the shortest. use the same tactic for the others. Opposite of 55° is top tube. Finally Opposite of 95° is the down tube.

Hope this helps! Good Luck!

I tried to simplify the answers as well as explaining it at the same time. I know when I have graded assignments they check them all for plagiarism. If you still a little confused I can help and be a little more in depth.

Answer:

the correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools.

O pool cleaning is a service that is provided by this business to its customers.

The correct option is C. The team that installs the new pools.

Business-to-consumer (B2C) refers to the process of selling goods and services directly between an organization and the customers who will ultimately use them. The majority of businesses that sell directly to customers are referred to as B2C businesses.

The correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools. Pool cleaning is a service that is provided by this business to its customers.

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Answer:

+ (5x + 9y = -5)

Step-by-step explanation:

+ (2x + 5y = -9)

+ ( 3x + 4y =  4)

+ (5x + 9y = -5)

Answer:

Domain is  [-1, 3]

Range is [1, 2]

================================

Explanation:

The domain is the set of allowed input values. It's the set of all possible x coordinates of the points shown.

The left-most point is when x = -1, while the right-most point is at x = 3.

We can say [tex]-1 \le \text{x} \le 3[/tex] meaning x is between -1 and 3, including both endpoints.

That compound inequality translates to the interval notation [-1, 3]

Square brackets are used to include the endpoints.

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

The range handles the set of possible y outputs.

The lowest we can go on the graph is y = 1, and the highest is y = 2

Therefore we arrive at [tex]1 \le \text{y} \le 2[/tex] which translates to [1, 2]

[tex] - 12 + 3m = m - 2[/tex]

[tex]3m - m = - 2 + 12[/tex]

[tex]2m = 10[/tex]

[tex]m = \frac{10}{2} \\ [/tex]

answer: [tex]m = 5[/tex]

An inequality in math is a statement that compares two values using an inequality sign. Inequalities can be used to describe a range of values, such as greater than, less than, greater than or equal to, and less than or equal to.

For example, the inequality 7 > 5 states that the value 7 is greater than the value 5. This type of inequality is known as a strict inequality, meaning that the values must be greater or less than one another in order for the statement to be true.

Another type of inequality is a non-strict inequality, which uses the symbols “≥” and “≤”. Here, "greater than or equal to" and "less than or equal to" are the appropriate definitions. For example, the inequality 5 ≤ 7 states that the value 5 is less than or equal to the value 7. This type of inequality allows the values to be equal to each other, rather than just strictly less or greater than one another.

Inequalities are used in a variety of mathematical equations, including linear equations, quadratic equations, and polynomial equations. They can also be used to solve for unknown values, such as the solution to an equation. Inequalities are also used to describe ranges of values, such as the range of numbers on a number line.

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19.6x -2.1y + 13 is a simplified form of the 18.4x - 2.1y +9.6 - (-1.2x) + 3.4 equation.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given expression 18.4x - 2.1y +9.6 - (-1.2x) + 3.4

Simplifying using PEMDAS

=> 18.4x - 2.1y +9.6 - (-1.2x) + 3.4

First, we will open the bracket

=> 18.4x - 2.1y +9.6 + 1.2x + 3.4

Calculating the like terms

=> 19.6x -2.1y + 13

Therefore, a simplified form of the given equation is  19.6x -2.1y + 13.

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The height of the actual glass is equal to 10 cm.

In Geometry, a scale factor is the ratio of two corresponding side lengths or diameter in two similar geometric figures such as drinking glasses, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

Mathematically, the scale factor of a geometric figure can be calculated by dividing the dimension of the image by the dimension of the pre-image (original figure):

Scale factor = Dimension of image (new figure)/Dimension of pre-image(original figure)

Scale factor = 2/2.5

For the height of the actual glass, we have:

2/2.5 = 8/x

x = (2.5 × 8)/2

x = 20/2

x = 10 cm.

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The (arithmetic operation)division equation at B (6/(2/3)=9) represent the situation.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.

These basic mathematical operations (+, -, ×, and ÷) we use in our everyday life. Whether we need to calculate the annual budget or distribute something equally to a number of people, for every such aspect of our life, we use arithmetic operations.

The four basic arithmetic operations in Maths, for all real numbers, are:

Addition (Finding the Sum; ‘+’)

Subtraction (Finding the difference;  ‘-’)

Multiplication (Finding the product; ‘×’ )

Division (Finding the quotient; ‘÷’)

As

Model having length 6 feet is divided into 9 pieces.

Therefore,

                 6/9=2/3

hence,

6/(2/3)=9

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Answer: y = −1/2x + 2 is the answer to the slope-intercept form of the graph.

Step-by-step explanation:

I hope this helps!!

An isosceles right triangle has a right angle (90 degrees) and two congruent acute angles(45 degrees).

A triangle's isosceles quality is characterised by its two equal-length sides. The third side which is not equally long as the first two is referred to as the base. The legs are the two equal sides. The vertex opposite the base has an obtuse, acute, or straight angle, and the angles at that vertex are congruent.

A right angle of 90 degrees and two congruent acute angles make up an isosceles right triangle (45 degrees). A right triangle has three angles, two of which are acute and one of which is always a right angle (90 degrees). Because the two legs of an isosceles right triangle are congruent, the two acute angles are likewise congruent. An isosceles right triangle, therefore, has angles of 90 degrees, 45 degrees, and 45 degrees.

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The equation 2x + 3y = 16 has infinitely many solutions.

We know that a linear equation in two variables is of the form ax + by + c = 0, where a, b, c are non-zero real numbers.

Here we have been given a linear equation in two variables 2x + 3y = 16

We solve this equation for x,

Consider 2x + 3y = 16

2x + 3y - 3y = 16 - 3y            .........(subtract 3y from each side of equation)

2x/2 = (16 - 3y)/2                   .........(divide each side by 2)

x = (16 - 3y)/2

for any real value of y we can find value of x.

This means, an equation 2x + 3y = 16 has infintely many solutions.

For x = 0,

2(0) + 3y = 16

y = 16/3

y = 5.333

This means, the y-intercept of line 2x + 3y = 16 is (0, 5.333)

For y = 0 ,

2x + 3(0) = 16

x = 16/2

x = 8

This means, the x-intercept of line 2x + 3y = 16 is (8, 0)

The graph of 2x + 3y = 16 is shown below.

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The complete question is:

How many solutions does the equation 2x + 3y = 16 have?.

hope it helps you

Step-by-step explanation:

hope it helped you

Sublimation is the straight transition from a solid state of materials to a vapor state upon heating (without becoming liquid).

When a substance changes from one state to another, as as from a solid to a gas, this transition, transformation, or conversion is referred to as sublimation.

Sublimation is the procedure through which a material is converted from its solid to gaseous phase without moving to its liquid form. At a temperature and pressure below the substance's triple point, this process, an endothermic phase transition, takes place. The opposite of this process, in which a gas is transformed straight into a solid state, is desublimation or deposition.

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To simplify a polynomial, we have to do two things:

1) combine like terms, and

2) rearrange the terms so that they're written in descending order of exponent.

In order to combine like terms, we must first determine which terms can be added to or subtracted from one another. The same variable (with the same exponent) is always associated with like expressions. For instance, adding one "x-squared" to two "x-squareds" results in three "x-squareds," but adding one "x-squared" to a "x" is impossible because the two words are unrelated.

An algebraic expression that displays the sum of monomials is called a polynomial. Since "mono" signifies "one" in the prefix, a monomial is a singular element or phrase. 'Poly' is a prefix that means'many. Thus, an expression that has numerous terms is said to be polynomial. The relationships between the terms may be sums or differences.

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Answer:

Zero Angle (0° in Measure), Acute Angle (0 to 90° in Measure), Right Angle (90° in Measure), Obtuse Angle (90 to 180° in Measure), Straight Angle (180° in Measure), Reflex Angle (180 to 360° in Measure), and Complete Angle (360° in Measure)

Step-by-step explanation:

The lengths of the unknown sides that are marked with a variable are;

a. x = 24

   y = 10

b. x = 5

When on comparing the corresponding sides of two or more triangles, they are said to be similar if they have some common properties.

To find the lengths of the unknown sides that are marked with a variable, we have;

a. To determine the value of y,

21/ y = 15/ 21

cross multiply to have

15y = 21 * 21

     = 441

y = 441/ 15

  = 29.4

y = 24

ii. To determine the value of x,

25/ (25 + x) = 15/ 21

cross multiply

15(25 + x) = 25 * 21

375 + 15x = 525

15x = 525 - 375

      = 150

x = 150/ 15

 x = 10

b. 5/ 6 = 4.2/ x

6*4.2 = 5x

25.2 = 5x

x = 25.2/ 5

  = 5.04

x = 5.0

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Answer:5

Step-by-step explanation:

The percentage change in the amount of sugar used is 38.8%

Sugar used the previous week = 42. 5 pounds

Sugar used this week = 26 pounds

Calculating the difference between two amounts of sugar -

Sugar used the previous week - Sugar used this week

= 42.5 - 26

= 16.5 pounds.

To calculate the change in percentage, the differential amount is to be multiplied by 100 to express the result as a percentage, which is required to determine the percent change in the amount of sugar utilised.

Calculating the per cent change -

Differential sugar amount / Sugar used in previous week x 100

= 16.5 / 42.5 x 100

= 38.8%.

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Answer: A. -3

A1. -2

A2. -6

Step-by-step explanation:

The expression -3x^2 - 24x - 36 can be factored into the form (ax + b)(cx + d) by using the technique of grouping or by using the factoring by grouping method.

The factored form of -3x^2 - 24x - 36 is

( -3x - 6)( x + 6)

So the answer is:

A. -3

A1. -2

A2. -6

Let P and Q represent the intersections of two triangle sides. Consequently, the third side's length is divided in half by the length of the section that connects P and Q.

Vega is attempting to prove that the segment joining the midpoints of two sides of a triangle is equal to half the length of the third side. To do this, she must first identify the two midpoints of any given triangle. Let P and Q be the midpoints of two sides of the triangle. She must then demonstrate that the segment connecting P and Q is equal to half the length of the third side. To do this, Vega must calculate the distance between P and Q and then compare it to the length of the third side. If the two measurements are equal, then Vega will have proven her point. This statement can be rephrased as "the length of the segment connecting P and Q is equal to half the length of the third side."

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The equation that is equivalent is

-x/4 + 3/4 = 12

Option D is the correct a nswer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

The equation for Negative one-fourth (x) + three-fourths = 12 is,

(-1/4)x + (3/4) = 12 _____(1)

Now,

-4x + 3/4 = 12

This is not equivalent to (1).

-1(x/4) + 3/4 = 12

This is not equivalent to (1).

-x + 3/4 = 12

This is not equivalent to (1).

1/4 (x + 3) = 12

(1/4)x + 3/4 = 12

This is not equivalent to (1).

-x/4 + 3/4 = 12

This is equivalent to (1).

Thus,

The equation that is equivalent is

-x/4 + 3/4 = 12

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