13. A jeweler wants to make a triangular pendant for a necklace using three pieces of wire. He
has two pieces of wire with lengths of 12 millimeters and 15 millimeters. Describe the possible
lengths for the third wire.

Answer:

A total of 252 pages

Step-by-step explanation:

In other words, 120 pages of a book were read yesterday and 132 pages of a book were read today. There are still 85 pages left to read in order to finish the book.

This word problem may seem tricky because it throws in the “85 pages left to read”, but you don’t have to pay attention to that because all the actual question is asking is for you to add the number of pages you already read.

To figure out how many pages were read in total, you must add.

So, 120 + 132 = 252

To do this addition problem mentally:

1. Add the 100s place, so 100 + 100 = 200

2. Add the 10s place, so 20 + 30 = 50

3. Add the 1s place, so 0 + 2 = 2

4. Add up all the sums that you got, so 200 + 50 + 2 = 252

You read 120 pages yesterday and 132 pages today. The values are correct.

An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.

Let x be the number of pages that you read yesterday, and let y be the number of pages that you read today.

From the problem, we know that:

x + y = 120 + 132 (the total number of pages you read over the two days)

x + y + 85 = total number of pages in the book

We can simplify the second equation by combining like terms:

x + y + 85 = total number of pages in the book

x + y = total number of pages in the book - 85

We can substitute the first equation into the second equation to eliminate x + y:

120 + 132 = total number of pages in the book - 85

252 = total number of pages in the book - 85

total number of pages in the book = 252 + 85 = 337

Now we can substitute this value for the total number of pages in the book into the first equation to solve for x and y:

x + y = 120 + 132

x + y = 252

We can solve for one variable in terms of the other by subtracting y from both sides:

x = 252 - y

Now we can substitute this expression for x into the equation x + y = 252 and solve for y:

252 - y + y = 252

y = 132

So you read 120 pages yesterday and 132 pages today.

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The domain of the function f(x) = 4 · x² + 12 · x - 5 is the set of all real numbers.

Functions are characterized by three features:

In this problem we need to find the set of all x - values of the polynomic function described in the statement. According to function theory, polynomials are continuous and their domain are always the set of all real numbers.

The domain of the polynomic function is the set of all real numbers.

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Value of P(5) is 0.058 by probability.

What is a math illustration of probability?

Given that ,

p = 1 / 4 = 0.25

1 - p = 1 - 0.25 = 0.75

n = 10

Using binomial probability formula ,

P(X = x) = ((n! / x! (n - x)!) * px * (1 - p)n - x

(a) x = 5

P(X = 5) = ((10! / 5! (10 - 5)!) * 0.255 * (0.75)10 - 5

              =  ((10! / 5! (5)!) * 0.255 * (0.75)5

              =  0.058

P(5) = 0.058

(b)

P(X > 3) = 1 - P(X \leq 3)

= 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

= 1 - 0.776

= 0.224

P(ore than 3) = 0.224

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The complete question is-

Take another guess: A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Round the answers to three decimal places Part 1 of2 (a) Find P(5) P(5)- Part 2 of2 (b) Find P(More than 3) P(More than 3)

Reason:

To shift down 2 units, we go from f(x) = (0.5)x to g(x) = (0.5)x - 2.

The -2 at the end means we subtract 2 from each y coordinate.

Compare this to g(x) = (0.5)x - k to find that k = 2.

Answer:

k = -5

Step-by-step explanation:

Slope of a line is given by

[tex]\dfrac{y_2 - y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are two points on the line

This is commonly referred to as rise/run

Given two points(0, k) and (1,4) and told that the slope is 9 we get

[tex]9 = \dfrac{4-k}{1-0}\\\\9 = \dfrac{4-k}{1}\\\\9 = 4 -k\\\\\text{Subtract 5 from both sides to get }\\9 - 4 = 4 - 4 - k\\\\5 = -k\\\\ k = - 5\\\\[/tex]

Answer:

the answer is x=19 writing more bc I need more characters

Answer:

A.-0.15

1.52

7.17

8.38

8.75

14.15

Answer:

212 ft

Step-by-step explanation:

[tex]455+2Q=879 \\ \\ 2Q=424 \\ \\ Q=212[/tex]

The equation of the line that passes through the points (-3,9) and (9,-1) is  y= -5x/6 + 39/6 .

The equation of line passing through two points (a,b) and (c,d) is given by the equation

(y-b)=m(x-a) ,

where m is the slope of the line ..

the slope m is (d-b)/(c-a)

In the question ,

it is given that

the required line passes through the points (-3,9) and (9,-1)

by formula m= (-1-9)/9-(-3)

= -10/12

So substituting the values in the formula the equation of the line becomes

y-9 = -10/12*(x-(-3))

12*(y-9) = -10*(x+3)

12y - 12*9 = -10x-30

12y-108= -10x -30

12y = -10x-30+108

12y = -10x + 78

On Dividing both sides by 12 , we get

y= -10x/12 + 78/12

y= -5x/6 + 39/6

Therefore , the equation of the line in slope intercept form that passes through the points (-3,9) and (9,-1) is y= -5x/6 + 39/6 .

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The number of ounces necessary when 11 dinner guests want salad is 104 ounces.

It should be noted that 1 cup = 8 ounces. Therefore, 2.1 cups will be:

= 2.1 × 8 = 16.8 ounces.

The recipe calls for 2.1 cups of lettuce per person and 0.56 ounces of salad dressing per cup of lettuce.

Therefore, if 11 dinner guests want salad, the number of ounces of dressing that will be necessary will be:

= 16.8 × 0.56 × 11

= 104

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Each person pays $79 each month.

A bill for $1,896 is paid in 12 monthly installments.

the same amount must be paid each month.

for, per month installment to be paid equals $1,896/12= $ 158

also given that, each installment will be divided equally between two people, then,

each installment for one person is equal to $ 158 /2=$79

so, $79 each person pays each month.

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By using division, 2×[tex]10^{-6}[/tex] times 300 is equal to  6×[tex]10^{-4}[/tex]

Scientific notation is a form of writing a very larger number or very smaller number in a simpler form. The general form of the scientific notation is a number from 1 to 10 is multiplied by a power of 10.

Consider the unknown number as x

The first number = 2×[tex]10^{-6}[/tex]

The result of 2×[tex]10^{-6}[/tex] times x = 6×[tex]10^{-4}[/tex]

So the equation will be

2×[tex]10^{-6}[/tex] × x = 6×[tex]10^{-4}[/tex]

Move 2×[tex]10^{-6}[/tex] to the right hand side of the equation

x = 6×[tex]10^{-4}[/tex] ÷ 2×[tex]10^{-6}[/tex]

Here we have to use the division

x = 300

Hence, by using division, 2×[tex]10^{-6}[/tex] times 300 is equal to  6×[tex]10^{-4}[/tex]

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Answer:

N/A

Step-by-step explanation:

which question of the three do you need the answer for?

Answer:

<1 = 150 degrees

<2 = 150 degrees

Step-by-step explanation:

Angle 1 and the 150 degree angle are equal. The reason is because they are on the same side of the transversal (the slanted line) and they are both above the parallel line that makes the up. They are called corresponding angles.

Angle 2 and angle 1 are equal because they are opposite each other. The term used in math is vertically opposite.

In linear equations, 18.816 is the cost of 2 2/5 pounds of salmon.

What are instances of linear equations?

grocery store sells salmon = $7.84 per pound

the cost of 2 2/5 pounds of salmon = [tex]2\frac{2}{5}[/tex]  × 7.84

the cost of 2 2/5 pounds of salmon =  12/5  * 7.84

the cost of 2 2/5 pounds of salmon =   12 * 1.568

the cost of 2 2/5 pounds of salmon =   18.816

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The ascending order of the given numbers is  2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24

The first number = 0.24

The second number = 4×[tex]10^{-2}[/tex]

The second number is the form of scientific notation. To compare the numbers, all the numbers should be in same form. So we have to convert the scientific notation to the decimal form

4×[tex]10^{-2}[/tex] = 0.04

The third number = 0.042

Third number is decimal form

The fourth number = 2×[tex]10^{-4}[/tex]

Convert the scientific notation to the decimal form

2×[tex]10^{-4}[/tex] = 0.0002

The fifth number = 0.004

The order of the numbers from least to greatest

= 2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24

Hence, the order of the given numbers from least to greatest is 2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24

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The volume of the box is 105 cubic units.

The amount of space inside a cuboid is calculated using the term "cuboid volume." Having length, breadth, and height, the cuboid is a three-dimensional shape. A shape with a certain length, breadth, and height will be obtained if we start with a rectangular sheet and keep stacking them. Length x Width x Height is the formula for calculating the cuboid's volume.

Given that : The dimensions of her boxes to be 4 x 6 x 3 units.

The volume of cuboid=7×5×3=105 cubic units.

so ,The volume of the box is 105 cubic units.

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Answer:

The measure of BXD is 45°.

Step-by-step explanation:

[tex]x + 20 + x + 30 = 95 - x[/tex]

[tex]2x + 50 = 95 - x[/tex]

[tex]3x + 50 = 95[/tex]

[tex]3x = 45[/tex]

[tex]x = 15[/tex]

So the measure of angle BXD is 15 + 30, or 45°.

Hello !

Answer:

[tex]\Large\boxed{\sf Slope\ =0}[/tex]

Step-by-step explanation:

Considering two points [tex]\sf A(x_A, y_A)[/tex] and [tex]\sf B(x_B, y_B)[/tex], the slope of the line that passes through A and B is given by [tex]\sf m=\frac{y_B-y_A}{x_B-x_A}[/tex].

Given :

Now we can calculate the slope with the previous formula :

[tex]\sf m=\frac{-3-(-3)}{4-(-2)}[/tex]

[tex]\sf m=\frac{0}{6}[/tex]

[tex]\boxed{\sf m=0}[/tex]

The slope of the line is 0.

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Have a nice day

Answer:

Step-by-step explanation:

Let Chocolate=X, Brownie=Y
2X+3Y=9.50 (Eq 1)
X+2Y=6.00 (Eq 2)

Multiplying Eq 2 by 2            
2(X+2Y=6.00) (Eq 3)                  

Subtracting Eq 3 by Eq 1
2X+3Y=9.50
2X+4Y=12.00
0-Y= -2.5                              
Y=2.5

Putting Value of Y in Eq 2
X+2(2.5)=6.00
X+5=6
X=6-5
X=1

Answer:

10 - 2 y

Step-by-step explanation:

C. The image shows two right triangles with one pair of congruent leg and congruent hypotenuse. Therefore, the congruence is HL.

D. This shows two right triangles that share one side (a leg) and have the other leg also congruent to each other. Therefore, their congruence is LL and SAS (leg, right angle, leg).

E. This shows two triangles with a pair of congruent sides, a pair of congruent angles, and they have a common side, therefore congruent since they are the same.

So, their congruence is SAS.

F. This shows two right triangles sharing the same hypotenuse, and with a pair of congruent angles. Therefore, their congruence is HA.

G. This shows two right triangles with congruent hypotenuses, one congruent pair of legs, and two congruent pairs of angles (if we include the right angle).

So, their congruence is HA and HL.

H. The two triangles here have a right angle, a pair of congruent sides, and a pair of angles that are opposite by vertex, so they are also congruent angles.

Therefore, their congruence is ASA.

The range of the function  f(x) = |x| − 4 is  {y | −4 ≤ y < ∞}.

Given the function is:  f(x) = |x| − 4

first find the domain of the function.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.

domain= (−∞,∞)

Then, range is he set of all representations of domain elements or the set of all function outputs constitutes the range of the function f.

range = {y | −4 ≤ y < ∞}.

Hence we get the range of the function as {y | −4 ≤ y < ∞}.

.

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Answer:

A

[tex]{ \tt{m \sqrt{p} + n \sqrt{p} - \sqrt{p} }} \\ = { \tt{ \sqrt{p} (m + n - 1)}}[/tex]

Answer:

yh it's A the other guy's right

Step-by-step explanation:

Mrs. Shipley moved at a speed of 12.0266 feet per second which was originally expressed in miles per hour.

The miles per hour multiplied by 1.466667 gives the speed in feet per second.

Mrs. Shipley ran at an average speed of 8.2 miles per hour.

These units must be converted into feet/second.

We know that,

1 miles/hour =  1.466667 feet/second

So, 8.2 miles/hour = 8.2 ×  1.466667 feet/second

∴ 8.2 miles/hour = 12.0266 feet/second

Therefore, Mrs. Shipley ran at a rate of 12.0266 feet per second, which was originally expressed in miles per hour.

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Answer:x<6

Step-by-step explanation:

Step-by-step explanation:

4+3x<22

3x<22-4

3x<18

3x÷3<18÷3

x<6

Answer:

Scientific form = 3.001 X 10^5

Expanded Form = 300100

Step-by-step explanation:

Answer:315.105

Step-by-step explanation:3.001

                                          x105

                                       -----------

                                        315.105