Which description best describes the solution to the following
system of equations? (1 point)
y = -2x + 3
y = -x + 1
Line y = -2x + 3 intersects the origin.
Line y = -2x + 3 intersects the line y = -x + 1.
Lines y = -2x + 3 and y = -x + 1 intersect the x-axis.
Lines y = - 2x + 3 and y = -x + 1 intersect the y-axis.

Answer:

$33.6.

Step-by-step explanation:

40 x .16 = 6.4

40 - 6.4 = 33.6.

Feel free to let me know if you need more help. :)

Answer:

No one can help

Step-by-step explanation:

You did not provide the scale drawing

Answer:

Angle 4 is 144.

Step-by-step explanation:

Applying the definition of vertical angles, the measure of angle 4 is: 144°.

Vertical angles are a pair of angles that lie directly opposite each other and are equal in measure to each other.

m∠1 + m∠2 = 180° (linear pair)

Substitute

3x + 12x = 180

15x = 180

x = 12

∠4 and ∠2 are vertical angles, therefore:

m∠4 = m∠2 = 12x

Plug in the value of x

m∠4 = 12(12)

m∠4 = 144°

Therefore, applying the definition of vertical angles, the measure of angle 4 is: 144°.

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Answer:

100 dollars 0.50x200=100

Step-by-step explanation:

Answer:

He made 100 dollars

Step-by-step explanation:

If he makes half a dollar for every one sold, and he sold 200, then you just do 200 times .50 and you get 100

Answer:

Yes.

Step-by-step explanation:

Since the coefficients of x and y, respectively, are equal, the answer is yes. These two lines are two different parallel lines with the same slope and different y-intercepts.

Answer:

2x+3y=2--------(1)

2x+3y=4----------(2)

|d|=|C2-C1|/SQ.RT A SQ.+B SQ.

=4-2/RT.4+9

=2/RT.13 UNITS

Answer:

a pack of three 8-ounce containers his is a better purchase

Step-by-step explanation:

In this case, what we must do is calculate the price per ounce and the one with the best value is the best purchase:

option 1: a pack of four 6.5-ounce containers of ice cream for $ 3.77

3.77 / (4 * 6.5) = 0.145

option 2: a pack of three 8-ounce containers for $ 3.87

3.87 / (3 * 8) = 0.161

The value of the price per ounce is less in option 1, therefore, this is a better purchase

Answer: 5.85 x 10 to the power of 6

Step-by-step explanation:

Answer:

$21888

Step-by-step explanation:

96*48=4608

4608*$4.75=21888

The cost to do the resurfacing of the playground can be found to be $21, 888.

To find the cost of resurfacing the playground, you need to calculate the total area of the playground and then multiply it by the cost per square foot.

The playground is 96 feet long and 48 feet wide, so its area is:

Area = Length × Width

Area = 96 ft × 48 ft

Area = 4,608 square feet

Multiply the area by the cost per square foot:

Resurfacing Cost = Area × Cost per square foot

Resurfacing Cost = 4,608 sq ft × $4.75/sq ft

Now, calculate the resurfacing cost:

Resurfacing Cost = $ 21,888

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Answer:

12

Step-by-step explanation:

She has 15 feet of floss. 15/1.25 is 12.

Hope this helps!!

Answer:

15

Step-by-step explanation:

She has 15 feet of floss

Answer:

it would be [tex]\sqrt{29}[/tex]

Step-by-step explanation:

To calculate the distance between (4, 7) and (2, 2), we use the distance formula, derived from the Pythagorean theorem: d = √[(x₂ - x₁)² + (y₂ - y₁)²]. Substituting our values into the equation gives a final answer of √29 units.

The subject of your question pertains to the calculation of distance between two points in a two-dimensional space, which is a concept in Mathematics. The points given are (4, 7) and (2, 2). To find the distance between these points, we can use the distance formula, derived from the Pythagorean theorem. The formula is d = √[(x₂ - x₁)² + (y₂ - y₁)²].

Here, (x₁,y₁) is (4, 7) and (x₂,y₂) is (2, 2). By substituting these values into the formula, we get

d = √[(2 - 4)² + (2 - 7)²]

= √[(-2)² + (-5)²]

= √[4 + 25]

= √29.

Therefore, the distance between (4, 7) and (2, 2) is √29 units.

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Answer:

Convert fractions, decimals, and percents to the same form to compare the values. Convert Percent to Decimal or Fraction. Convert Decimal to Percent or Fraction. Convert Fraction to Decimal or Percent. Then figure out which is greater or lesser. Use this information to write a set of numbers or quantities in order from least to greatest or from greatest to least.

Step-by-step explanation:

Ordering numbers mean plan of numbers either from little to enormous or from huge to little. At the point when the numbers are orchestrated in an expanding order, it is known as Ascending Order, and when the numbers are organized in a diminishing order, and afterward they are known as Descending Order. For ascending, check the most modest number from the given rundown and spot it first and afterward put the numbers as indicated by the expanding order. For descending check the greatest number from the given rundown and spot it first and afterward put the numbers as per the diminishing order.

A percentage is a part of an entire communicated as a number somewhere in the range of 0 and 100 instead of as a portion. All of something is 100 percent, half of it is 50%, none of something is zero percent.

A decimal is a part written in an extraordinary structure. Rather than composing 1/2, for instance, you can communicate the division as the decimal 0.5, where the zero is during the ones spot and the five is in the tenths spot.

A fraction just discloses to us what number of parts of an entire we have. You can perceive a fraction by the slice that is composed between the two numbers. We have a top number, the numerator, and a base number, the denominator. For instance, 1/2 is a fraction. You can compose it with an inclined slice like we have or you can compose the 1 on the 2 with the slice between the two numbers. The 1 is the numerator, and the 2 is the denominator.

Solution:

Given that,

A 45 foot ladder is leaning against a building

The foot of the ladder is positioned 10 feet from the base of the building

The figure is attached below

Let,

AB = foot of the ladder from the base of the building

AB = 10 feet

AC = length of ladder

AC = 45 feet

Then by definition of cos,

[tex]cos\ \theta = \frac{AB}{AC} \\\\cos\ \theta = \frac{10}{45}\\\\\theta = cos^{-1} 0.222 \\\\\theta = 77.17[/tex]

Thus, the angle at which the ladder meets the ground is 77.17 degree

Answer:D

Step-by-step explanation: Got it right on the test

Answer:

The area of this plate is [tex]36.31\ \text{inches}^2[/tex].

Step-by-step explanation:

We have,

Circumference of a circular plate, C = 21.4 inches

The circumference of a circular shape is given by :

[tex]C=2\pi r[/tex]

r is radius of circular shape

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{21.4}{2\times 3.14}\\\\r=3.4\ \text{inches}[/tex]

Area of this plate is given by :

[tex]A=\pi r^2\\\\A=\pi (3.4)^2\\\\A=36.31\ \text{inches}^2[/tex]

So, the area of this plate is [tex]36.31\ \text{inches}^2[/tex].

Answer:

(4-7x)(4+7x)

Step-by-step explanation:

This is a difference of squares. (16 is the square of 4, 49x^2 is the square of 7x.)

The formula for difference of squares is a^2 - b^2 = (a-b)(a+b)

16 - 49^2 = (4-7x)(4+7x)

Answer:

-499,485.

Step-by-step explanation:

We can transform this to an arithmetic series by  working it out in pairs:

6^2 - 7^2 = (6-7)(6+7) = -13

8^2 - 9^2 = (8-9)*8+9) = -17  

10^2 - 11^2 = -1 * 21 = -21 and so on

The common difference is -4.

The number of terms in this series  is (998 - 6) / 2 + 1

= 992/2 + 1 = 497.

Sum of n terms of an A.S:

= n/2 [2a1 + (n - 1)d  

Here a1 = -13, n = 497, d = -4:

Sum = (497/2)[-26 - 4(497-1)]

= 497/2 * -2010

= -499,485.

Answer:

The domain is all real numbers

Step-by-step explanation:

The domain is the input values

y= 3 is a horizontal line across all x

The domain is all real numbers

The domain is all real numbers.

The domain is the possible values for x that result in a valid equation, no dividing by zero or any of that stuff.   Here there's no x in the formula, y=3 is a horizontal line, f(x)=3 for all x.  No x in the formula means it works for all x; nothing to go wrong.

Answer:

Hey

Step-by-step explanation:

Answer:

-27+27i

Step-by-step explanation:

you are trying to simplify this and have to follow pemdas and rearrange it into a+bi form

Answer:

24  days

Step-by-step explanation:

the information we have is:

Farmers         Days

   20         ⇒       36

   30         ⇒       x

the table describes that 20 farmers harvest the fruits in 36 days, and the x represents the quantity of days that will take 30 farmers to harvest the fruits.

since the amount of farmers and the amount of days are inversely proportional (if we have more farmers they will need less days, and the other way around) we use the inverse rule of three to solve this problem: multiply the quantities at the top of the table (20 and 36) and divide the result by the remaining amount (30).

we get the following:

x = 20 * 36 / 30

x = 720 / 30

x = 24

It will take 24 days for the 30 farmers to harvest the same amount of fruit

Hope this will help u...

Look at the attached picture ⤴⤴

We have been given that a z-score table and corresponding probability to each z-score. We are asked to find the probability of a getting a z-score less than or equal to 0.42 that is [tex]P(z\leq0.42)[/tex].

z-score                               Probability

0.00                                    0.5000

0.22                                    0.5871

0.32                                     0.6255

0.42                                     0.6628

0.44                                     0.6700

0.64                                     0.7389

0.84                                     0.7995

1.00                                     0.8413

Upon looking at our given table, we can see that the probability corresponding to z-score of 0.42 is 0.6628.

[tex]P(z\leq0.42)=0.6628[/tex]

Now, we will convert [tex]0.6628[/tex] into percent as:

[tex]0.6628\times 100\%=66.28\%[/tex]

Upon rounding to nearest percent, we will get:

[tex]66.28\%\approx 66\%[/tex]

Therefore, the approximate value of [tex]P(z\leq0.42)[/tex] is [tex]66\%[/tex] and option C is the correct choice.

Answer:

C

Step-by-step explanation:

Answer:

Choice 2

Step-by-step explanation:

The following distribution is not a probability distribution because the probability values do not add to 1.

If it were a probability distribution, the sum of all the probability values would be equal to 1.

The sum of the probability values is 0.16 + 0.15 + 0.42 + 0.13 + 0.31,

which is equal to 1.17.

Since the sum is greater than 1, it violates the requirement for a probability distribution.

Hence, the probability values do not add to 1.

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Answer:

41 and 139

Step-by-step explanation:

the answers are 41 and 139

Answer:

A

Step-by-step explanation:

Since $2.75 discount is given on towel

$0.5 discount is given on candle

10% discount is given on set of dishes

We will have to calculate the discount for the set of dishes

10% of $35.10

10/100 ×35.10

=35.1

So the discount on the set of dishes is $35.1

When comparing the discount on the three things she bought,it was observed that she gained a lot from the discount given on the set of dishes

So the answer is A

Answer: C

Step-by-step explanation:The solution is 7

3

. This problem can be solved using the Pythagorean Theorem leg2 + leg2 = hyp2. 142 - 72=147,

147

Final answer:

The value of x squared is 147, leading to the answer choice C for the value of x in the right triangle.

Explanation:

To find the value of x in a right triangle where the hypotenuse = 14, and the length of the other side = 7, we will use the Pythagorean Theorem.

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

This can be written as c² = a² + b², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Using the given values we have: 14² = 7² + x².

Simplifying this, we get 196 = 49 + x2, and then 196 - 49 = x², which leads to 147 = x².

Therefore, x = √147.

After calculating, we find that x = √147, which simplifies to x = 12.124 (rounded to three decimal places).

However, the answer choices seem to require the square of x, in which case the answer would be 147, which is option C.

Answer:

Step-by-step explanation:

hello :

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x2

Find F{G[H(2)]}

calculate : H(2) =2² =4

G[H(2)] =G[4]= 3(4)+2 =14

F{G[H(2)]} = F{14}=2(14) =28

Answer:

E

Step-by-step explanation:

map scale: actual scale

= 1 inch: 3 feet

Area scale

= (1 in)²: (3 ft)²

= 1 in²: 9 ft²

This means that 1 in² of the drawing represents an actual area of 9 ft².

Area of garden in the drawing

= 5(3.5)

= 17.5 in²

Area of actual garden

= 17.5 ×9

= 157.5 ft²

Thus, the answer is E.

To calculate the slope of a line we require any two points along the line.

Explanation:

suppose two points are given that is (x1,y1) (x2, y2) . The equation of a line is  y-y1=m(x-x1) , where m is referred to as the slope of the line .

To find m,

m= y2-y1/x2-x1 . Hence this way of finding slope is known as point- slope form. Another form is there known as slope- intercept form

y=mx+c.

But to find a slope , minimum amount of information that we require is points along the line.

Final answer:

To calculate the slope of a line, only two points on the line are needed. Slope is computed as the difference in y-coordinates divided by the difference in x-coordinates of these points.

Explanation:

To calculate the slope of a line, the minimum amount of information needed is any two points along the line. The slope is the rate of change between two points on a line and can be calculated using the formula slope (m) = (Y₂ - Y₁) / (X₂ - X₁), where Y₂ and Y₁ are the y-coordinates and X₂ and X₁ are the x-coordinates of the two points. It is not necessary to know the length of the line, the endpoints specifically, or the x and y intercepts separately.

The slope-intercept form of a linear equation, y = mx + b, shows that m is the slope and b is the y-intercept. Here, the y-intercept is simply the point where the line crosses the y-axis, but it is not required for calculating the slope when you have two points on the line.

Answer:

term a is 2x²

term b is 4x

term c is 24

Step-by-step explanation:

2x² + 24 = -4x

2x² + 4x + 24 = 0

term a is 2x²

term b is 4x

term c is 24

Tell me if I am wrong.

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