how many solutions does this system of Equations have x-2y=2 y=-2x+5​

Answer: it is proportional

Step-by-step explanation:

This is my answer because 7/8x can be written in the form y=mx+b. What does this mean?

Well, y=mx+b is slope intercept form, where m is the slope and b is the y intercept , or where the line first crosses the y axis. you can write 7/8x in slope intercept form as:

y= 7/8x+0

Also, you can see that the y intercept is 0, which means the line passes through the origin, or the point 0,0 on the coordinate plane. Therefore it must be proportional because every line that passes through 0,0 (the "origin") is proportional.

I think the other person is wrong..he/she didnt explain their reasoning..

Answer:

A pie graph would be a good graph to use

Answer:

C) Going from A to C to D and it is shorter by 3 miles.

Step-by-step explanation:

Angles  

AB is 6 miles

BD is _12__ miles

AC is 5 miles

CD is 10 miles

First you need to find BD, so AB times CD. 6(10) = 60. then divide 60 with AC. 60/5 = 12. So  BD = 12.  

Now add  

AB and BD,  

{ 6+ 12 = 18} ABD = 18

Now add  

AC and CD

{ 5 + 10 = 15 } ACD = 15

18 - 15 = 3  

So ACD is 3 miles shorter then ABD.

Got right on the test

The shortest route is to take segment AD which is 8 miles long.

To determine the shortest route, we need to find the length of segment AD and compare it to the combined length of segments AC and CD. Since segment AD bisects LA, we can use the properties of a line segment bisector to find its length.

Since segment AD bisects LA, we can say that AC = CD

Therefore, the shortest route is to take segment AD, which is 8 miles long, since it is equal to the combined length of segments AC and CD.

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Answer:

(15+0)2

Step-by-step explanation:

Answer: The answer would be x=5/3

Step-by-step explanation:

First you would subtract 11 from both sides, cancelling out the 11 on the left while making 21-11=10. Your equation at this point would be 6x=10. Now you would divide by 6 on both sides making the answer x=5/3.

The value of x is 5/3.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is an equation, 6x+11 = 21

Solving for x,

6x+11 = 21

6x = 10

x = 5/3

Hence, the value of x is 5/3.

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To solve this question, first you would add 86 to 42 which gets you 128. Then, you should divide 128 by 2 which gets you to 64, which is the greatest number of packages you can sell.

Answer:

the REAL answer would be 2

Step-by-step explanation:

Two possible factorizations for the given sum are:

-5x - 15 = 1*(5x + 15)

-5x - 15 = 5*(-x - 3)

For a given sum like the one we have:

a + b

A factorization is something like:

a + b = k*(j + l), where k is a common factor between a and b.

In this case, our sum is: -5x - 15

One possible factorization is if we take the negative sign as the common factor we get:

-5x - 15 = 1*(5x + 15)

Another possible factorization is if we take 5 as the common factor:

-5x - 15 = 5*(-x - 3)

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Answer:

Jalen is 11.18 miles from his starting point.

Step-by-step explanation:

Given:

Jalen jogged 10 miles due north, then turned due west and jogged 5 more miles.

Now, to find miles Jalen jogged from his starting point.

So, below is the figure attached to describe the scene.

Now, to get the distance of Jalen jogged from his starting point we use pythagoras theorem:

[tex]AB^2+BC^2=AC^2\\\\10^2+5^2=AC^2\\\\100+25=AC^2\\\\125=AC^2[/tex]

Using square root on both sides we get:

[tex]11.18=AC\\\\AC=11.18\ miles.[/tex]

Therefore, Jalen is 11.18 miles from his starting point.

Answer:

11.18 miles

Step-by-step explanation:

Answer:

12.58

Step-by-step explanation:

Answer:

3.42

Step-by-step explanation:

OWN

23-20.42=3.42

GET RID OF

2.46+7.96=10.42

+10(save)

20.42

The value of the trigonometric equation is cos θ = EF/DF

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔDEF

Now , the sides of the triangle are

The hypotenuse of triangle is DF

where the measure of ∠DEF = 90°

Now , from the trigonometric relations , we get

cos θ = adjacent / hypotenuse

cos θ = EF/DF

Hence , the trigonometric relation is cos θ = EF/DF

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Answer: The amount of interest owed is $598.82.

Step-by-step explanation: 7.9% of $1,895 is 149.705. So, 149.705 x 4 years would be $598.82 for 4 years.

Final answer:

The total interest owed on a $1,895 loan at a 7.9% interest rate over 4 years is calculated using the formula for simple interest, resulting in a total interest amount of $598.43.

Explanation:

To find the amount of interest owed on a $1,895 loan for 4 years at a 7.9% interest rate, you can use the formula for calculating simple interest, which is Interest = Principal × Rate × Time. The principal (P) is $1,895, the rate (r) is 7.9% or 0.079 when expressed as a decimal, and the time (t) is 4 years.

So the calculation would be:
Interest = $1,895 × 0.079 × 4

Let's perform the calculation:

Interest = $1,895 × 0.079 × 4 = $598.43

The total interest owed on the loan after 4 years would be $598.43.

Answer:

x = 2      y=0

Step-by-step explanation:

We can solve using elimination method

8x - 4y  = 16 __________(1)

8x + 4y  =16 ___________(2)

Subtract equation (2) from equation (1)

-8y  =  0

Divide both-side of the equation by -8

-8y/-8  =   0/-8

y = 0

Substitute y=0 into equation (1)

8x - 4y  = 16

8x - 4(0)  = 16

8x  = 16

Divide both-side of the equation by 8

8x/8  = 16/8

(On the left-hand side of the equation, 8 at the numerator will cancel-out 8 at the denominator leaving us with just x while on the right-hand side of the equation  16 will be divided by 8)

x = 16/8

x = 2

Therefore x = 2 and y=0

Answer:

$1950

Step-by-step explanation:

Simple interest amount payable is given by

A=P(1+rt) where p is principal amount, A is final amount paid, t is time and r is rate of interest. For the first case

A=15000(1+0.03*4)=$16800

For second case

A=15000(1+0.05*5)=$18750

Difference will be 18750-16800=$1950

Answer:

Option C.

Step-by-step explanation:

Dilation of a line:

If center of dilation lies on the line, then the line remains same.

If center of dilation does not lies on the line, then the dilated line is parallel to the original time.

The given equation of line is

[tex]y=5x-10[/tex]

The line will remain same if center of dilation lies on this line.

For x=0,

[tex]y=5(0)-10=-10\neq 10[/tex]

It means (0,0) does not lies on given line.

For x=-5,

[tex]y=5(-5)-10=-35\neq 35[/tex]

It means (-5,35) does not lies on given line.

For x=1,

[tex]y=5(1)-10=-5[/tex]

It means (1,-5) lies on given line.

For x=2,

[tex]y=5(2)-10=0\neq 20[/tex]

It means (2,20) does not lies on given line.

Center of dilation (1,-5) could be used to support Carl's claim.

Therefore, the correct option is C.

Answer:

39x-7

Step-by-step explanation:

The perimeter is all the sides added together so

9x + 8x - 2 + 5x + 1 + 17x - 6

Since you can't solve it you just want to simplify the equation, add the like terms together

9x+8x+5x+17x = 39x

-2+1-6 = -7

Your equation is 39x-7

The solution to the inequality [tex]\frac{r}{16}\geq 8[/tex] is r≥128.

Step-by-step explanation:

Given inequality is;

[tex]\frac{r}{16}\geq 8[/tex]

We will solve the inequality for r.

Therefore;

Multiplying both sides by 16

[tex]\frac{r}{16}*16\geq 8*16\\x\geq 128[/tex]

Therefore;

The solution to the inequality [tex]\frac{r}{16}\geq 8[/tex] is r≥128.

Answer:

Step-by-step explanation:

Answer:

A(sector) = (1 - 1/9)πr² = (17/2)π

(8/9)r² = 17/2

r = √((17/2)(9/8)) = (1/4)√153

= (3/4)√17

A(circle) = π((3/4)√17)² = 17(9/16)π

= (153/16)π

Answer:

392 Joules

Step-by-step explanation:

Answer:

$25.03725

Step-by-step explanation:

Step 1:  Multiply both sides by %5 to get the raise

26.355 * %5 is same as 26.355 * 0.05

$1.31775 is the raise

Step 2:  Subtract the raise from the new salary

26.355 - 1.31775

25.03725

Answer:  $25.03725

The correct answer is y = 17.94.

To solve the equation 27.8 = 1.55y for y, we first divide both sides of the equation by 1.55 to isolate y:

[tex]\[ y = \frac{27.8}{1.55} \][/tex]

 Now, we perform the division:

[tex]\[ y \approx 17.935483871 \][/tex]

 When rounding to the nearest hundredth, we look at the third decimal place. If it is 5 or more, we round up. If it is less than 5, we round down. In this case, the third decimal place is 5, so we round up:

[tex]\[ y \approx 17.94 \][/tex]

 Therefore, the solution to the equation, rounded to the nearest hundredth, is y = 17.94.

Answer

34.5 inches

Step-by-step explanation:

Answer:

Never

Step-by-step explanation:

Cuz cone has a round base

Answer:

never - a cone has a circular base

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Simply radical 16 which will give you 4, then multiply 4 by 20 which equals 80

Answer:

900

Step-by-step explanation:

5 * 180

(5 * 100) + (5 * 80) + (5 * 0)

500 + 400 + 0

900

Answer:  900

Answer:

780 people

Step-by-step explanation:

65% of 1,200 is 780

Answer:

780

Step-by-step explanation:

To find the % of something simply convert 65% to a decimal > .65 then 1,200*.65=780

Rory can make 3 additional 1/8-pound meatballs with the remaining 3/8 pounds of beef after making 7 meatballs that use 3/8 pound each.

Rory has initially 3 pounds of ground beef. Since he uses 3/8 pound per meatball to make 7 meatballs, we first need to calculate the total beef used for 7 meatballs by multiplying 7 (the number of meatballs) by 3/8 pound (the amount of beef per meatball).

7 meatballs × 3/8 pound/meatball = 21/8 pounds

Now, to find out the remaining beef, subtract the beef used from the total beef available:

3 pounds - 21/8 pounds = 24/8 pounds - 21/8 pounds = 3/8 pounds remaining.

With the remaining 3/8 pounds of beef, Rory wishes to make 1/8-pound meatballs. To find out how many 1/8-pound meatballs he can make, we divide the remaining beef by 1/8 pound:

3/8 pounds ÷ 1/8 pound/meatball = 3 meatballs.

Rory can make 3 additional meatballs, each weighing 1/8 pound, with the remaining beef.

Answer:

there are no real solutions

Step-by-step explanation:

The discriminant is (-10)² - 4*6*50 is below zero, hence there are no solutions.

Answer:

[tex]\sqrt{90} =9.48683298051[/tex]

Step-by-step explanation:

First, mulitply the numbers

[tex]5*18=90[/tex]

Square root the last result

[tex]\sqrt{90} = 9.48683298051[/tex]

The solution is (1,0)

Explanation:

The two equations are [tex]3x+16y=3[/tex] and [tex]3x-16y=3[/tex]

We need to solve the equation using elimination method.

Adding the two equations, we get,

[tex]3x+16y=3\\3x-16y=3\\-------\\6x=6[/tex]

[tex]x=1[/tex]

Thus, the value of x is 1

Substituting [tex]x=1[/tex] in the equation [tex]3x+16y=3[/tex] , we get,

[tex]3(1)+16y=3[/tex]

Simplifying, we get,

[tex]16y=3-3[/tex]

[tex]16y=0[/tex]

   [tex]y=0[/tex]

Thus, the value of y is 0.

The solution is (1,0)