Subtract the equations.
7x + 2y = 17
- (3x + 2y = 3)
-
=
A. 4x = 14
B. -4y = 14
C. 10x = 20
D. 4y = 20

Answer:

y= 6/19

hope it helps

Answer:

24)

X/3-2 =-5

X/3= - 5 +2

X/3 = - 3

X = - 3×3

X = - 9

A line in slope-intercept form is represented by the following equation:

Parallel lines have the same slope, then if the line is parallel to the line y=-2x+5, the slope of the parallel line would be -2 too.

Now, by the given point (2,1) and knowing the slope of the line, we can use the slope-point form of the line equation to get the slope-intercept form:

Substituting:

Notice that the parallel line would be the same original line, y=-2x+5.

Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

Answer:

180 degree rotation around the origin

Step-by-step explanation:

Both points are on exactly opposite sides of the graph

Answer:

75.4

Step-by-step explanation:

Hello There!

We can easily solve for the volume of the cone using this formula

\(V=\pi r^2\frac{h}{3}\)

where r = radius and h = height

we are given that the radius had a length of 3 ft and the height has a length of 8 ft

Because we know the values all we have to do is plug them into the formula

so

\(V=\pi 3^2\frac{8}{3}\\3^2=9\\9\pi =28.27433388\\28.27433388*\frac{8}{3} =75.39822369\)

so we can conclude that the volume of the cone is 75.39822369 ft³

Finally we round to the nearest hundredth and get that the answer is 75.4

Answer:

kinda hard

Step-by-step explanation:

h² = c² + c²

(\(\sqrt{11}\))² = (\(\sqrt{11}\)/2)² + x²

x² = (\(\sqrt{11}\))² - (\(\sqrt{11}\)/2)²

answer: x = \(\sqrt{11}\)  - \(\sqrt{11}\)/2

Answer:

Yes and B

Step-by-step explanation:

Answer:

Step-by-step explanation:

ME EITHER UGHHHHHHHH

Answer:

Hi how are you doing today Jasmine

A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.

A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.

Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.

The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.

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The perimeter of the rectangle that Sammy drew is P = 6w , where w is the width of the rectangle

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P of rectangle = 2 ( Length + Width )

Given data ,

Let the perimeter of the rectangle be represented as P

Now , the width of the rectangle is w

And , the perimeter of the rectangle Sammy drew is

P = 2 ( 2w ) + 2w

On simplifying , we get

P = 4w + 2w

On further simplification , we get

P = 6w

Therefore , the value of P is 6w

Hence , the perimeter of the rectangle is 6w , where w is the width

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The correct value of the various questions is as follows:

2.) The table that shows the monthly rate for gym membership = Table C.

3.) The amount of money that Todd's mother bought the can vegetables = $10.50. That is option B.

4.) The amount of time it will take the reading group to read 80 pages = 60 mins . That is option D.

5.) The amount of money that Elliott spends of the protein bars at the gym = $13.75.

For question 2.)

The table that shows the monthly rate for gym membership = Table C. This so because;

1 month = $65

2 months = 65×2 = $130

8 months = 65×8 = $520

10 months = 65×10 =$650

For question 3.)

From the number line;

The cost of 4 cans = $3

14 cans = X

Make X the subject of formula ;

X = 14× 3/4

X = 42/4

X = $10.50

For question 4.)

For 8 pages = 6 minutes

80 pages = X

make X the subject of formula;

X = 80×6/8

X= 60 minutes.

For question 5.)

For 5 protein bars = $6.25

11 protein bars = X

make X the subject of formula;

X = 11× 6.25/5

X = 68.75/5

X= $13.75

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Answer:

4

Step-by-step explanation:

Modal is the most common number. There's 3 4s so 4 is the modal

Answer:

7,500 tickets would be sold for 85% to be sold out.

Answer:

The answer to you question is 93

Step by Step Explanation:

(2 x 8^2) +7- (7 x 6)

128+7-42

=93

Answer:

93

Step-by-step explanation:

2(82)+7−(7)(6)

=(2)(64)+7−(7)(6)

=128+7−(7)(6)

=135−(7)(6)

=135−42

=93

Hope this helps

\(Aaisha Thameem\)

Answer:

1/42 = 0.0238

Step-by-step explanation:

We solve it using combination. for the first part the student can answer 5 questions out of 10 questions given

= 10!/5!(10-5)!

= 252

for the second part the instructor choses 5 questions out 10 for the student to solve.

= 6!/5!(6-5)!

= 6

thus the probability that the student can solve all the problems in the exam is

6/252 = 0.0238

\(~~~~~~2(x-12)+x=36\\\\\implies 2x-24+x = 36\\\\\implies 3x = 36+24\\\\\implies 3x = 60\\\\\implies x = \dfrac{60}3\\\\\implies x = 20\)

2(x+12)+x=36

or,2x+24+x=36

or,3x+24=36

or,3x=36-24

or,3x=12

or,x=12/3

or,x=4

Thus, 20 is your answer

The equation relating degrees Fahrenheit to degrees Celsius is given by C = (5/9)(F - 32)

An equation is an expression that shows the relationship between two or more numbers and variables.

Let C represent the temperature in Celsius and F represent the temperature in Fahrenheit, hence:

water freezing at 0 degrees Celsius which is 32° F water at boiling at 100° C which is 212°

(C - 0)/(100 - 0) = (F - 32)/(212 - 32)

C/100 = (F - 32)/180

C = (5/9)(F - 32)

The equation relating degrees Fahrenheit to degrees Celsius is given by C = (5/9)(F - 32)

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can u plz take a more clearer photo of the problem and also try to elaborate

Answer:

26, 33

Step-by-step explanation:

rule is to add 7 everytime

next 2 numbers are 26, 33

Equation represents the given situation is \(y = \$(8500- 700x)\).

" Equation is defined as the algebraic expression which represents the relation between variables and the number using sign of equality."

According to the question,

Initial amount is Rodriguez account \(= \$8500\)

Plans to spend a month from his account \(= $700\)

\('x'\) represents the number of months

Amount spend in \('x'\) months \(= 700x\)

\('y'\)  represents the amount left in the account

As per given situation required equation is ,

\(y = \$(8500-700x)\)

Hence, equation represents the given situation is \(y = \$(8500- 700x)\).

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Answer:

3

Step-by-step explanation:

I am pretty sure it is 3, because 3+3 is 6+5 = 11

The other box also has 11

So I think the x is 3.... Hope this helps

Answer:

3

Step-by-step explanation:

on the left, you see the 1 by 1 squares from before, which I will call c1s, and you see 6 extra c1s

on the right, there are 2, 3 by 1 rectangles. 3 by 1 = 3*1 = 3

3 is the answer

Answer:

b,c,e,d,a,f

Step-by-step explanation:

Answer:

The average GPA would be 1.8

Step-by-step explanation:

Hope this is helpful. I did a test like this exact question and I got it right.

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side

Using the Pythagoras theorem

That's

\( {a}^{2} = {b}^{2} + {c}^{2} \)

From the question

x is the hypotenuse or the longest side of the triangle

Substituting the values into the above formula we have

\( {x}^{2} = {9}^{2} + {7}^{2} \)

\( {x}^{2} = 81 + 49\)

\( {x}^{2} = 130\)

Find the square root of both sides

We have the final answer as

Hope this helps you

a) The small tire would  make 38  rotations

   The large tire would make 127  rotations

b) A bicycle with two large wheels would allow traveling faster with each rotation of the pedal .

The problem we are dealing with relates to rotations and circumference where rotation refers to the distance from the center to any point on the shape that remains the same and whereas the circumference is the perimeter of a circle. In one revolution a wheel covers a distance which is rise to its perimeter.Since we are provided that the diameter of the large wheel is 60 inches, so the radius will be 30 inches ( radius = diameter/2) and the radius of the small wheel is 9 inches.

The circumference of a circle  is 2πr

for a large wheel  the circumference is 2 x 3.14 X 30 = 188.4 inches

for a small  wheel, the circumference is  56.52

Since, we know 1 inch is equal to 0.0833333, as the traveling distance = 600 feet = 7200 inches.

Number of rotation = distance / circumference

For large wheel = 7200 /188.4 =38.21 = spprox 38

For small wheel = 7200/56.52 =127.38 = approx 127

Since we bicycle with bigger wheels is preferable as they can go faster than the ones with little wheels since their circumference is more as they cover more area in fewer rotations.

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To complete the integer division using the optimized division algorithm, the lowest number of rounds theoretically required depends on the specific algorithm employed. In the given scenario, the specific algorithm is not mentioned. However, we can provide explanations based on common algorithms such as binary division. Additionally, the resulting number in binary representation can be determined by converting the quotient to binary using 8 bits. Lastly, the resulting number in floating-point decimal representation can be determined by converting the quotient to IEEE 754 single precision format.

Part 1: The lowest number of rounds theoretically required to complete the integer division using the optimized division algorithm depends on the algorithm itself.

One common algorithm is binary division, where the dividend is continuously divided by the divisor until the remainder becomes zero or reaches a terminating condition.

The exact number of rounds needed in this case would depend on the values of A (dividend) and B (divisor). Without knowing the specific algorithm being used, it is not possible to determine the exact number of rounds.

Part 2: To represent the resulting quotient in binary format using 8 bits, we need to convert the quotient of A divided by B to binary. In this case, A = +54 and B = -3.

Performing the division, we get a quotient of -18. Representing -18 in 8-bit binary format, we have: 10010010. The most significant bit (MSB) represents the sign, where 1 indicates a negative value.

Part 3: To represent the resulting quotient in FP decimal representation using the IEEE 754 single precision standard, we need to convert the quotient to binary and then apply the specified format. Considering the quotient of -18, in binary it is represented as 10010.

Using IEEE 754 single precision format, the sign bit would be 1 (negative), the true exponent would be biased by 127, and the fraction would be normalized. The IEEE-754 exponent in binary would be 10000101, and in decimal (base 10) it would be 133. The resulting representation in IEEE 754 single precision format would be: 1 10000101 10010000000000000000000.

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The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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The value of k in the equation x^2+kx-6=0  with one root equal to 3 is -1.

What does root of a quadratic equation mean?

A quadratic equation has a variable squared (in our question, it was x2). The root of a quadratic equation tells us that when we plug in the root for x, the equation is equal to 0.

Given :  x^2+kx-6=0

We see k in the equation: x^2+kx−6=0. We know that if we had a value of x to plug into this equation, then we could just solve it for k. So let’s see if we can find a value for x satisfying the quadratic equation.

We know that the root of a quadratic equation tells us that if we plug in the value of the root for x, then the equation will equal 0. So let’s solve this question by plugging in x=−1 and then simplify the equation until we can solve for k, then compare k to −1.

x²+kx−6 = 0

3² + k·3 − 6 = 0

9 + 3k − 6 = 0

3 + 3k = 0

3k = −3

k = −1

Hence , the value of k in the equation x^2+kx-6=0  with one root equal to 3 is -1.

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