Three friends Steve, Jake and Jodie shared a pizza. Steve ate 2/5 of the pizza and Jake ate 1/4
What fraction did Jodie eat?

Answer:

x = -3; substitute it to the other equation.

2(-3) - 7y = 30

-6 - 7y = 30

-7y = 30 + 6

-7y = 36

y = -36/7

we will not round the number because the question is asking for an improper fraction at its simplest form.

Answer:

5.1

Step-by-step explanation:

2*-3 - 7y =30

-6 + 7y = 30

7y = 30 + 6

y = 36 / 7

i.e. y = 5.1

Answer:

Q1: no solution

Q2: one solution

Q3: infinite solutions

Step-by-step explanation:

Question 1

Answer: No solution

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

Explanation:

Multiply both sides of the first equation by 3. Doing so leads to

3*(5x+2y) = 3*(-7)

15x+6y = -21

The second equation is 15x+6y = 21

Let's say we let z = 15x+6y

This means the system

[tex]\begin{cases}15x+6y = -21\\15x+6y = 21\end{cases}[/tex]

becomes

[tex]\begin{cases}z = -21\\z = 21\end{cases}[/tex]

but we can't have z be equal to more than one value at a time. We have a contradiction and therefore there are no solutions.

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

Question 2

Answer: One solution

The solution is (x,y) = (5/6)

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

Explanation:

Apply substitution

2x - 4y = 1

2x - 4(2x+1) = 1

2x - 8x - 4 = 1

-6x - 4 = 1

6x = 1+4

6x = 5

x = 5/6

Then use this to find y

y = 2x+1

y = 2(5/6)+1

y = 5/3 + 1

y = 5/3 + 3/3

y = 8/3

The one solution is (x,y) = (5/6)

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

Question 3

Answer: Infinitely many solutions

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

Explanation:

Multiply both sides of the second equation by 2

3x+2y = 5 becomes 2*(3x+2y) = 2*5 which turns into 6x+4y = 10

This is exactly identical to the first equation of the original system given.

So both equations represent the same thing. We have infinitely many intersection points, and infinitely many solutions.

All of these solutions are on the line 3x+2y = 5

Answer:

This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.

Step-by-step explanation:

The following parameters are given from the question above. These information is used in solving this problem.

=> The mean value of his compression test = 6500 psi, the standard deviation = 500 psi, the average of the mean = 5900 psi and the number of sample measurements = 8.

The first thing to do right now is to determine the characteristic strength, this can be calculated as below:

Characteristic strength= average of the mean - (1.65/2) × standard deviation.

Characteristic strength = 5900 - (0.825) × 500 = 5487.5 psi.

The next thing to do is to Determine the target mean strength.

Target mean strength = 5487.5 psi + 1.65 × 500 = 6312.5 psi.

The above is from taking samples from 8 samples.

Now, let's consider the characteristic strength by the contractor.

Characteristics strength = 6500 - 165 × 500 = 5675 psi.

This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.

Answer:

4

Step-by-step explanation:

4•4•4 = 64

Answer:

4

Step-by-step explanation:

cubic root of 64 is 4, since 4^3 = 64

Step-by-step explanation:

[tex] \tan(16) = \frac{y}{260 + x} \\ (260 + x) \times \tan(16) = y \\ 74.55 + 0.286x = y \\ y = 0.286x + 74.55[/tex]

[tex] \tan(42) = \frac{y}{x} \\0.9 x = y[/tex]

[tex]0.9x = 0.286x + 74.55 \\ 0.614x = 74.55 \\ x = 121.42[/tex]

[tex]y = 0.9x \\ y = 109.27 = 109[/tex]

The length of ZY is [tex]109.27[/tex]

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.

What is length?

Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived. In the International System of Units system the base unit for length is the meter.

According to question, In ΔXYZ, ∠Y=90° and ∠X=16°. ∠ZWY=42° and XW=260.

We have to find the  the length of ZY.

Let the length of ZY be [tex]x[/tex] and WY be [tex]y[/tex]

From the given question and figure

[tex]tan16[/tex]°[tex]=\frac{y}{260+x}[/tex]

⇒[tex]tan16[/tex]°×[tex](260+x)=y[/tex]

⇒[tex]y=0.286x+74.55[/tex]

Now,[tex]tan42[/tex]°[tex]=\frac{y}{x}[/tex]

⇒[tex]y=0.9x[/tex]

From both the above equation,

[tex]0.9x=0.286x+74.55[/tex]

⇒[tex]x=121.42[/tex]

[tex]y=0.9x=109.27[/tex]

Hence, we can conclude that the length of ZY is [tex]109.27[/tex]

Learn more about  trigonometry here:

https://brainly.com/question/22698523?referrer=searchResults

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Answer:

The answer is 35% increase

Answer:

-24

Step-by-step explanation:

let 'n' = the number

n/3 + 10 = 2

n/3 +10 - 10 = 2 - 10

n/3 = -8

n = -24

Answer:

x= -24

Step-by-step explanation:

let the number be x

x/3 +10=2

Multiply through by 3

3 * x/3 + 3 *10 = 2*3

x + 30 = 6

x= 6 - 30

x= -24

note * = multiplication sign

Answer:Planting trees on 7 million hectares of land and purchasing 20 million hectares of land

Step-by-step explanation:

Planting trees on 7 million hectares of land and purchasing 20 million hectares of land

An expression is a number, a variable, or a combination of numbers and variables and operation symbols

Planting trees on 7 million hectares of land and purchasing 20 million hectares of land

Learn more about the expression:

brainly.com/question/1280754

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Answer:

A transformation is when the preimage of a shape is changed in size or shape into a new image

Step-by-step explanation:

Answer: A transformation is the process of manipulating an polygon or an two-dimensional shape or object on a coordinate plane.

Step-by-step explanation: I attached a image for you to see.

Answer:

15

Step-by-step explanation: I believe that's the answer because the hypotenuse in a 30 60 90 is x2 and 15x2=30

Answer:

15

Step-by-step explanation:

Answer:

whats the total wight of each person

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of rectangle = 8×5 = 40 cm²

area of semicircle = ½×π4² = 8π cm²

total area = 40 + 8π ≅ 65.1 cm²

:::::

area of circle = π2² = 4π in²

area of square = 4⁴ = 16 in²

blue area = 16 - 4π ≅ 3.4 in²

Answer:

Ali = 12, Sami  = 21

Step-by-step explanation:

Ali = 4x, Sami = 7x

lets make an equation

7x-4x=15

3x=15

x=3

Now when we know x we can find how many candies each got

3*4=12, 3*7=21

Answer:

10 inches

Step-by-step explanation:

Assuming that by 'deep' you mean length, we can set up a simple algebraic expression to solve this problem. We know that a rectangle has 4 sides, 2 of them equal sides, and all of those sides added up equals the perimeter. To say that algebraically, [tex]2a+2b=p[/tex]. We can fill in the blanks on this equation to solve.

[tex]2(27)+2b=74\\\\54+2b=74\\2b=20\\b=10[/tex]

The length of the other side is 10 inches.

Hope this helped!

Answer:

Step-by-step explanation:

Given the rational number :

0.9, -2/1/2, 0.25, -3/4

Converting all to decimal;

0.9 = 0.9

-2 1/2 = - 2.5

0.25 = 0.25

-3/4 = - 0.75

Kindly check the ttcjed picture for the number line graoh

Answer:

what's your question I am not understanding

Answer:

Step-by-step explanation:

84

Step-by-step explanation:

refer to the above attachment please

Answer:

2.58 is less than 2.7

Step-by-step explanation:

Answer:

Yeppers Peppers. (That means yes)

Step-by-step explanation:

You did a good job on that. Good work!

Answer:

The answer is 2 hope this helped!

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think that you want to know how many total pounds of beans do you have.

Well, to find this, simply find the LCM of 6 and 4. That is 12.

So convert the fractions to have a denominator of 12.

10/12, 9/12

Now add:

(10+9)/12 = 19/12 = 1 7/12

Answer:

1536 bacteria

Step-by-step explanation:

3000×0.80³ = 1536

This is an exponential equation of the form

[tex]F=Ir^t \\ \\

F=3000(0.8)^3 \\ \\

F=1536[/tex]

Answer:

2x=8

x=4

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

48 + (x-35) = 90

x-35 = 90-48

x-35 = 42

x = 42+35

x = 77

Answer:

∅ = 90 - 48 = 42°

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

The probability that the first number cube shows a two or a three is 2/6 = 1/3

The probability that the other number cube shows an even number is 3/6 = 1/2.

1/2 * 1/3 = 1/6

Answer: The graph in the bottom right corner.

Step-by-step explanation:

We have the function:

f(x) = 3   if  x <  1.

f(x) = x   if   x ≥ 1

First, let's analyze each part of the function:

f(x) = 3   if  x <  1.

We have a constant line y = 3, such that it ends at the point x = 1 with an open dot (or white dot) (because here we have the symbol <)

f(x) = x   if   x ≥ 1

From x = 1 and on, we have the line y = x, such that in the point x = 1 we will have a closed dot (or black dot) that means that the point does belong to the graph.

when x = 1, we have:

f(1) = 1

Then we will have the closed dot at the point (1, 1)

Then the correct option is the one in the bottom right.

Answer:

The answer is The graph on the bottom right

good luck!

Answer:

0.339

Step-by-step explanation:

Answer:

Right triangles

Step-by-step explanation:

Answer:

Right Triangles