The perimeter of a triangle is 90 cm. The lengths of the sides of the triangle are in the ratios 3:5:7 Work out the length of the longest side of the triangle.

Answer:

The y-coordinate of the solution is thus -5.

Step-by-step explanation:

Rewrite 5x-y=25 4x+3y=1

in a column:

5x-y=25

4x+3y=1

If we want to find the y-coordinate of the solution, we need to eliminate x.  Solving the second equation for 4x yieds 4x = 1 - 3y, or

x = (1 - 3y)/4.

If this is inserted into 5x - y = 12, we get:

5(1 - 3y)/4 - y = 25, or (multiplying all terms by 4 to eliminate fractions):

5 - 15y - 4y = 100, or

-19y = 95, which yields y = -5

The y-coordinate of the solution is thus -5.

Answer:

p=2

Step-by-step explanation:

9(p-4)=-18

9p-36=-18

9p=18

p=2

Answer: p=2

Step-by-step explanation:

Divide -18 by 9 to get (p-4)=-2 and then add the 4 to the 2 to get the answer of 2

Answer:

$111400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5.7%/100 = 0.057 per year,

then, solving our equation

I = 100000 × 0.057 × 2 = 11400

I = $ 11,400.00

The simple interest accumulated

on a principal of $ 100,000.00

at a rate of 5.7% per year

for 2 years is $ 11,400.00.

Answer:

C

Step-by-step explanation:

The sum of the interior angles of a square = 360° ( 4 right angles )

The sum of the interior angles of a triangle = 180°

Then sum of interior angles of the figure is

sum = 180° + 180° + 360° = 720° → C

Answer:

15.25

Step-by-step explanation:

You're Welcome!

Answer:

15.25 (what's important to remember when doing problems with decimals is remembering to put it in the right place. )

hope this helped you out!

Step-by-step explanation:

Answer: x=-2

Step-by-step explanation:

Given

-3x=-x+4

Add x on both sides

-3x+x=-x+4+x

-2x=4

Divide -2 on both sides

-2x/-2=4/-2

x=-2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = -2

Step-by-step explanation:

-3x = -x + 4

Add x to the left hand side to bring all like terms together.

-3x + x = 4

Combine like terms.

-2x = 4

Divide both sides by -2.

x = -2

Hope this helped!

Answer:

1,350

Step-by-step explanation:

15% of 9,000 is 1,350, you can multiply 9000 by .15.

Answer:

100 g

Step-by-step explanation:

You would multiply the butter by 2.

Answer:

x = 7, − 5

Step-by-step explanation:

Answer:

u do 14 x 8 then + 78 then x = your answer

Step-by-step explanation:

sorry I dont have a calculator near me but just put that in!!!

Answer:Abby bought 3 sweat shirts and 7 t shirt

Step-by-step explanation:

Step 1

Let sweat shirt be represented as s

and t shirts be represented as t

such that the total  umber of items bought which equals 10 can be written as

s+ t= 10---- equation 1

and total price of the gear with each item costing  $25 on sweatshirt $11 on  t-shirts be expressed as

25 s+ 11 t = 152---- equation 2

Step 2

s+ t= 10-----equation 1

25s+ 11t= 152----equation 2

By elimination method , multiply equation 1 by 10  and subtract equation 2 from it

25 s+ 25t= 250----- equation 3

-25s + 11t= 152-----equation 2

14t=98

t=98/14= 7

To find s, using equation 1

s+t=10

s= 10-7= 3

Abby bought 3 sweat shirts and 7 t shirt

Answer:

600

Step-by-step explanation:

set x as the number

x0.10 = 60

x = 60/0.10

x = 600

Answer:

For me i think its 16.67 well im not fully sure

Step-by-step explanation:

SO we have to figure out what gives us 10 and that will be represented as "x"

[tex]\frac{60}{100}[/tex]  × x = 10

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 10 × [tex]\frac{100}{60}[/tex]  so, x = 16.67

(that's what i believe but i don't know)

Answer:

8x+14

Step-by-step explanation:

Answer:

the answer is 0.89

Step-by-step:

the first boxes under 62 will be 56

the second box under 56 will be 63

the 3rd boxes will be will be 63

the very top boxes will be 0.89

Answer:

15.65

Step-by-step explanation:

16.9 + x = 32.55

x = 32.55 - 16.9

Answer:

15.65 ounces

Step-by-step explanation:

32.55-16.9=15.65 ounces

Answer:

k

Step-by-step explanation:

Answer: Yeah, I'll help you!!! :)

Answer:

4, 5, 10

Step-by-step explanation:

x=shortest side

one side =4

3x-5=long side

(3x-5)+x+4=19

4x-5+4=19

4x=20

x=5

long side = 3(5)-5=10

Answer:

[tex]h=\frac{15.625}{pi}[/tex]

h ~ 4.974

Step-by-step explanation:

The formula for the volume of a cylinder is;

[tex](pi)(r^{2})(h)=V[/tex]

Where [tex](pi)[/tex] represents the value, [tex]3.1415...[/tex]

[tex](r)[/tex] represents the radius of the given cylinder. In other words, if one were to take a base (the flat side in the case of the cylinder) of the figure. The distance from the center to a point on the outside of the circle is the radius.

[tex](h)[/tex] represents the height of the object. In other words the distance between the two bases of the cylinder.

[tex]V[/tex] represents the volume, in other words, the space that the object takes up.

In this problem, one is given the diameter of the cylinder and the volume. One is asked to find the area.

The diameter of a circle is the distance between two opposite sides of the circle. The diameter will always pass through the center of the circle. To find the radius when given the diameter, one will divide by 2.

To solve this problem, one will substitute in the given information and solve for the height using inverse operations.

[tex](pi)(r^{2})(h)=V\\\\(pi)((\frac{8}{2})^{2})(h)=250\\\\(pi)(16)(h)=250\\\\(pi)(h)=15.625\\\\(h) = \frac{15.625}{pi}\\\\h- approx. 4.974[/tex]

Answer: m∠5 = 75°.

Step-by-step explanation:

We know that lines A and B are parallel, and angles 1 and 5 are formed by the same line intersecting the parallel lines.

We know that:

"When a line intersects two parallel lines, corresponding angles are formed, such that we could think on four quadrants, the angles in each quadrant are equivalent between them"

Well, here we can see that angle ∠1 and angle ∠5 are formed by the same line, and both are in the same quadrant (would be the third quadrant if we use standard notation)

Then the measure of ∠1 is the same as the measure of ∠5

And we know that m∠1 = 75°

Then we must have that m∠5 = 75°.

Answer:

2/3

[tex] \frac{3 \times 6}{9 \times 3} [/tex]

[tex] = \frac{18}{27} [/tex]

[tex] \frac{18 \div 9}{27 \div 9} [/tex]

[tex] = \frac{2}{3} [/tex]

Answer:

10 days

Step-by-step explanation:

2/.2=10

Answer:

D:10 days

Step-by-step explanation

1/5 ÷ 10 = 0.02 in decimal form.

hope that helps

Answer:

its 10

Step-by-step explanation:

Answer:

Let Two Numbers be=x and y

Sum of two Numbers=52

X+Y=52

X=52-Y. (Equation 1)

Difference=2

X-Y=2

.Putting Value of X=52-Y

52-Y-Y=2

52-2y=2

52-2=2y

50=2y

y=50÷2

y=25

We Get Y=25

X=52-Y

X=52-25

X=27

Prove

X+Y=52

27+25=52

X-Y=2

27-25=2

X=27

Y=25

Numbers=27,25

Step-by-step explanation:

:)

Answer: 1.175A

Step-by-step explanation:

From the information given in the question, we are told that the amount of money that is in a bank account increased by 17.5% while the money at the beginning of the year is represented by A.

The expression that represents the amount of money in the bank account after the increase will be:

= A + (17.5% × A)

= A + (17.5/100 × A)

= A + (0.175 × A)

= A + 0.175A

= 1.175A

Answer:

y = -x -1

Step-by-step explanation:

x1= 0, y1= -1

[tex]slope = \frac{x - x1}{y - y1} = \frac{x - 0}{y - ( - 1)} = \frac{x}{y + 1} [/tex]

-1 = x/(y+1)

-1 (y+1) = x

y+1 = -x

y= -x -1

Answer:

31.42

Step-by-step explanation:

equation for solving is C= π d

circumference is  π x diameter

so therefore the new equation is π x 10

3.14 (π) x 10 (d) = 31.42

Answer:

I Think its B

Step-by-step explanation:

Edge 2021

Answer:

A- no

B- no

C-yes

D- yes

Step-by-step explanation:Anything that is inside the red is a solution. You can also plug in the points into the equation and see if its right. Thats what I did for a.