Find the x- and y-intercepts for the linear equation.
– 3x + 5y = 15

Answer:

A. 2- i

Step-by-step explanation:

Answer:

2 + i

Step-by-step explanation:

Answer:240 km

Step-by-step explanation: 600 ÷5 = 120, 120 × 2 = 240 km

I think that's the answer I'm not sure but hope this helps ;)

Using combinations in mathematics, it's found that there are 4 different 3-topping pizzas possible from a selection of 4 toppings, since the order of toppings on a pizza does not matter.

Combination Calculation for Pizza Toppings

When considering the number of different 3-topping pizzas possible from 4 choices, one must use combinations to solve this problem. A combination is a selection of items where the order does not matter, which fits our scenario since the order of toppings on a pizza does not change the pizza's identity. In mathematical terms, we look for the number of combinations of 4 items taken 3 at a time, which is denoted as 4C3.

The formula for combinations is:

C(n, k) = n! / (k!(n-k)!), where n is the total number of items, k is the number of items to choose, and ! denotes a factorial.

Thus, for our pizza topping problem, this becomes:

4C3 = 4! / (3!(4-3)!) = (4×3×2×1) / ((3×2×1)×1) = 24 / 6 = 4 different 3-topping pizzas.

Therefore, there are 4 different ways to select 3 toppings from a choice of 4.

Answer:

y=-7

x=6

Step-by-step explanation:

If you subtract 3x from both equations, you get -4y=28, which means that y=-7. When you substitute it back in, you get the x-value of 6.

Answer:

A = 1/3b

Step-by-step explanation:

Divide each side by 12b to isolate the variable "a". This leaves a = 4/12b. This can be simplified to 1/3b.

Steps to solve:

12ab/12b = 4/12b (Divide 12/b to both sides)

a = 4/12b

a = 1/3b (Answer)

______

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Answer: $50.00

Step-by-step explanation:

Org. Price- $40.00

10% - $4.00

1% - $0.40

8% - $3.20

Tax - $3.20

10% + 8% - 1% = 17%

4.00 + 3.20 - 0.40 = 6.80

Tip - $6.80

$40.00 + $3.20 + $6.80 = $50.00

Answer:

Gas mileage is the number of miles you can drive

Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 600 miles on 20 gallons of gas.

Step-by-step explanation:

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The percent change is 40%

Step-by-step explanation:

The percent change is given by the formula

[tex]Percent\ change=\frac{New\ value-Original\ value}{Original} * 100[/tex]

Here

New value = 70

Original value = 50

Putting the values in the formula

[tex]Percent\ change=\frac{70-50}{50}*100\\=\frac{20}{50}*100\\=0.4*100\\=40\%[/tex]

The percent change is 40%

Keywords: Percentage

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Answer:

I am not sure what you mean by same line but a CO planar point have to both share the same plane so not necessarily the same ray or line segment but it has to be on the same plane

Step-by-step explanation:

Answer:

the slope is 4

Step-by-step explanation:

y=mx+ c

m=4

c=-5

Answer:y intercept :5

Step-by-step explanation:

slope-4

Answer:

16

Step-by-step explanation:

1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000

Answer:

( - 1, 1 )

Step-by-step explanation:

Given the 2 equations

3x - y = - 4 → (1)

x + y = 0 → (2)

Subtract y from both sides in (2)

x = - y → (3)

Substitute x = - y into (1)

- 3y - y = - 4, that is

- 4y = - 4 ( divide both sides by - 4 )

y = 1

Substitute y = 1 into (3)

x = - 1

Solution is (- 1, 1 )

The solution to the system of equations 3x - y = -4 and x + y = 0 is found by substitution, resulting in the solution set (x, y) = (-1, 1).

To find the solution to the equations 3x - y = -4 and x + y = 0, you can use the method of substitution or elimination. Since the second equation easily gives us y in terms of x (that is, y = -x), we can substitute this into the first equation.

Substitute y = -x into the first equation: 3x - (-x) = -4.

Simplify: 3x + x = 4x

hence, 4x = -4

Divide both sides by 4 to solve for x: x = -1.

Now substitute x = -1 into y = -x to find y: y = -(-1) = 1.

The solution to the system of equations is (x, y) = (-1, 1).

Answer:

x = 70°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an external angle of the triangle, thus

x + 50 = 120 ( subtract 50 from both sides )

x = 70

Answer:

A=28.25 is the rounded form of the answer.

A = 28.245673384359 in^2

Answer:

Area: 28.25

Step-by-step explanation:

Area = Circumference^2

4 (pi)

18.84^2 = 354.9456

4(pi) = 12.5663706144

354.9456 ÷ 12.5663706144 = 28.2456733843

Rounded to the nearest hundreth, the 5 in the thousandths place converts the 4 in the hundreths place into 5.

Answer:

Step-by-step explanation:

i think its 500%

but im not sure

because 20 divided by 4 = 5

and 5.0 = 500%

Answer:

 The percent change is 400%

Explanation:

We know that percentage change is given by the

[tex]\frac{change in value}{absolute value of the original value} \times 100[/tex]

i.e we find the difference between the original value and current value and then divide it by original value and multiply the obtained value with 100.

a negative percentage change indicates increase in value.

so we get 4 - 20 = -16

[tex]\frac{-16}{4}[/tex] = -4

[tex]-4 \times[/tex] 100 = -400

hence there is an increase of 400% in the percentage which is the required percentage.

Answer:

24 : 8 ≡ 39 : 13

Step-by-step explanation:

We are given two proportion relation and we have to determine whether they are equivalent or not.

Now, the first proportion is 24 : 8

So, the simplified proportion will be 24 : 8 = 8 × 3 : 8 = 3 : 1

Again the second proportion is 39 : 13

So, the simplified proportion is 39 : 13 = 13 × 3 : 13 = 3 : 1

Therefore, the two given proportions are equivalent i.e. 24 : 8 ≡ 39 : 13. (Answer)

Answer:

(17.42 ; 22.38)

Step-by-step explanation:

To construct a confidence interval we use the following formula:

ci = (sample mean) +- z*(sd)/[n^(1/2)]

The sample mean is 19.9 and the standard deviation is 6. The sample has a n of 16. We have to find the value of z which is the upper (1-C)/2 critical value for the standard normal distribution. Here, as we want a confidence interval at a 90% we have (1-C)/2=0.05 we have to look at the 1-0.05=0.95 value at the normal distribution table, which is 1.65 approximately. Replacing all these values:

ci: (sample mean - z*(sd)/[n^(1/2)] ; sample mean + z*(sd)/[n^(1/2)])

ci: (19.9 - 1.65*6/[16^(1/2)] ; 19.9 + 1.65*6/[16^(1/2)])

ci: (19.9 - 9.9/4] ; 19.9 + 9.9/4)

ci: (19.9 - 2.48 ; 19.9 + 2.48)

ci: (17.42 ; 22.38)

To find a 90% confidence interval for the mean time, we can use the formula C-I = x ± z * (σ/√n). Using the given sample mean, sample standard deviation, and sample size, the 90% confidence interval is approximately (17.43, 22.37) minutes.

To find a 90% confidence interval for the mean time, we can use the formula:

C-I = x ± z * (σ/√n)

Where:

Since the population standard deviation is unknown, we can use the sample standard deviation as an estimate. The z-score corresponding to a 90% confidence level is approximately 1.645.

Plugging in the given values:

C-I = 19.9 ± 1.645 * (6/√16)

C-I = 19.9 ± 1.645 * 1.5

C-I = 19.9 ± 2.46875

Therefore, the 90% confidence interval for the mean time is approximately (17.43, 22.37) minutes.

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Answer:

They are equal.

Step-by-step explanation:

-4/5=-8/10

Answer:

D. [tex]3m^2+m-5[/tex]

Step-by-step explanation:

A trinomial expression is a polynomial expression with three terms.

The term with the highest power of variable is called the leading term and the co-efficient of this term is called the leading co-efficient.

The alone number without any variable in the expression is called the constant.

Example of a trinomial:

[tex]5x^2+2x+4[/tex]

Leading co-efficient = 5

Constant = 4

A trinomial with a leading coefficient of 3 and a constant term of -5 from the given choices is:

D. [tex]3m^2+m-5[/tex]

Answer:

Part A: Option C

Part B: Option B

Step-by-step explanation:

Part A:  

We have to find the equation of a straight line having x-intercept at (3,0) and y-intercept at (0,2).

Now, using intercept form of straight line equation we can write the equation of the required straight line is [tex]\frac{x}{3} + \frac{y}{2} = 1[/tex]

⇒ [tex]\frac{y}{2} = 1 - \frac{x}{3}[/tex]

⇒ [tex]y = - \frac{2}{3} x + 2[/tex]  

So, option C is correct. (Answer)

Part B:  

See the graph of the straight line provided.

The straight line passes through the points (10, 80) and (20, 100)

Therefore, the slope of the straight line is given by [tex]\frac{100 - 80}{20 - 10} = \frac{20}{10} = 2[/tex]

therefore, option B is correct. (Answer)

Answer:

First Side  = 21 units

Second side = 21 units

Third side  = 21 units

Step-by-step explanation:

Here, the three sides of the equilateral triangle are:

(2 x-7) cm , ( x + y - 9) cm and ( y + 5) cm

Now, a triangle is said to be an EQUILATERAL TRIANGLE if all three sides of the triangles are equal in the measure.

⇒ For the given triangle to be equilateral:

(2 x-7)   =  ( x + y - 9)  =  ( y + 5)

Consider third and second term, we get:

x + y -9  = y + 5

or, x - 9  = 5  

⇒  x = 9 + 5  = 12, or x = 14

Also,from first and second   term :

(2 x-7)  =  ( x + y - 9)  

⇒ 2(14) - 7 =  (14 + y) - 9

⇒ 28  - 7 -14 + 9 = y

or, y = 16

Hence, First Side =  2 x - 7 = 2(14) - 7 = 21 units

Second side = x + y - 9 = 14+ 16  - 9 = 21 units

Third side =  y + 5 = 16 + 5 = 21 units

Answer:

.5

Step-by-step explanation:

1 divided by 2 is .5.

Answer:

0.5

Step-by-step explanation:

1/2 is equal to 5/10, and 5/10 is equal to 0.5.

Answer:

The radioactive substance will decay in 17.70 hours .

Step-by-step explanation:

Given as :

The rate of decay of radioactive substance = 4 %  per hour

Let The original weight of substance = w

The final weight of substance = [tex]\frac{w}{2}[/tex]

Let the hours for decay of substance = n

Now,

The weight of substance after n years = The original weight of substance × [tex](1- \dfrac{\textrm Rate}{100})^{n}[/tex]

or,

[tex]\frac{w}{2}[/tex] = w × [tex](1- \dfrac{\textrm 4}{100})^{n}[/tex]

Or, [tex]\frac{1}{2}[/tex] = [tex](1- \dfrac{\textrm 1}{25})^{n}[/tex]

or,  [tex]\frac{1}{2}[/tex] = [tex](\dfrac{\textrm 25-1}{25})^{n}[/tex]

or,  [tex]\frac{1}{2}[/tex] = [tex](\dfrac{\textrm 24}{25})^{n}[/tex]

Taking log both sides :

Log  [tex]\frac{1}{2}[/tex] = Log [tex](\dfrac{\textrm 24}{25})^{n}[/tex]

So, Log [tex]\frac{1}{2}[/tex] = n × Log [tex]\frac{24}{25}[/tex]

∴ - 0.301 =  n × ( - 0.017 )

So , n = [tex]\frac{0.301}{0.017}[/tex]

I.e n = 17.70  hours

Hence The radioactive substance will decay in 17.70 hours . Answer

Answer:

0.22 hours

Step-by-step explanation:

Half life is defined as the time taken by a radioactive material to decay to half of its original value.

Mathematically, half-life (t1/2) = ln2/¶ where ¶ is the decay constant.

Before we can get the half life, we need to get the decay constant first. To get ¶, we will use the radioactivity formula. According to the formula,

N/No = e^-¶t where;

N/No is the fraction of the final substance after decay the the original value of the substance = 4% = 1/25

t is the time of decay = 1hour

Substituting into the formula to get the decay constant we have;

1/25 = e^-1¶

Applying ln to both sides, we have;

ln 1/25 = lne^-¶

ln1/25 = -¶

-3.22= -¶

¶ = 3.22

The decay constant is 3.22

Half life = ln2/3.22

Half life = 0.22hours

It will take the substance 0.22hours before it changes to half of its original weight.

Answer:

The two cars are at the distance of 21 miles apart .

Step-by-step explanation:

Given as :

The car travel due north to the distance  = 12 miles

The car travel due south to the distance = 9.12 miles

let the distance between the two cars = x miles

So, the total distance between the cars = The distance of north going car + the distance of south going car

Or,  the total distance between the cars = 12 miles + 9.12 miles

or,  the total distance between the cars =  21.12 miles ≈ 21 miles

I.e the total distance between the cars = 21 miles

Hence The two cars are at the distance of 21 miles apart . Answer

A graph of the line with slope 2/5 and passing through the point (-2, 4) is shown on the coordinate plane in the image below.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

At data point (-2, 4) and a slope of 2/5, an equation for this line can be calculated by using the point-slope form as follows:

[tex]y - y_1 = m(x - x_1)[/tex]

y -  4 = 2/5(x - (-2))  

y -  4 = 2/5(x + 2)

y = 2/5(x) + 4/5 + 4

y = 2/5(x) + 24/5

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Answer:lll(3) Quadrant lll

Step-by-step explanation:Quadrant 3 is the quadrant where the imaginary part of a number and the real part of a number are both negative and in this number they both are.

Step-by-step explanation:

In slope intercept form?

Subtract 11x from both sides to get:

13y = -11x + 8

Then divide the entire thing by 13

[tex]y = \frac{ - 11}{13}x + \frac{8}{13} [/tex]

is your new equation

You first add 92+20. You will get 112. So 112 seashells collected.