The numbers in the diagram below indicate the lengths of the sides of a triangle. Bernadette drew the following triangle and claims it is a right triangle.








State whether or not Bernadette is correct?

Answer:

21021

Step-by-step explanation:

Answer:

Each litters can be represented as; x and y respectively to the 7% and the 28%

x + y =1

7x + 28y =19.6

This a simultaneous equation and can either be solved by using elimination or substitution method

Using the substitution method

eqn1, x=1-y

putting into eqn2

7(1-y)+28y =19.6

7-7y+28y=19.6

21y=12.6

y=3/5

but x=1-y

so

x=1-3/5

x=2/5

Step-by-step explanation:

6×10

=60

niceeeeeeeeeeee

Answer:

-4x - 16y

Step-by-step explanation:

Given:

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

Required:

Simplify

Solution:

To simplify, apply the distributive property by multiplying every term that is inside the brackets by -4

Thus:

-4*3x -4*-2x -4*+4y

-12x + 8x - 16y

Add like terms

-4x - 16y

Answer: Big rectangle shades 1/4+1/2

Step-by-step explanation:

So have a Big

Answer:

a

Step-by-step explanation:

Answer:

A reflection over the y-axis.

At most means less than or equal to:

7 + x ≤ 20

Answer:

26

Step-by-step explanation:

Well since a car can travel 78 miles Using 3 gallons

78/3=26

26 miles for each gallon

Answer:

26

Step-by-step explanation:

The unit rate refers to the distance the car can travel using 1 gallon of gas. One way to solve this is to create an algebraic equation like [tex]78=3x[/tex]. Then, to find the unit rate isolate x by dividing both sides by 3. This means that the unit rate is 26.

Answer:

I'm guessing it's 4 i think but sorry if it's wrong

Step-by-step explanation:

Answer: 60 mph

Step-by-step explanation:

Given

The red car left at 9 am and arrives at 1 pm

time taken by the red car [tex]t_a=4\ hr[/tex]

time taken by the blue car [tex]t_b=3\ hr[/tex]

Assume the speed of the red car is v

So, the speed of the blue car is v+15

distance traveled by them is the same

[tex]\Rightarrow v\times 4=(v+15)\times 3\\\Rightarrow 4v=3v+45\\\Rightarrow v=45\ mph[/tex]

Thus, the speed of the blue car is [tex]45+15=60\ mph[/tex]

Answer:

A

Step-by-step explanation:

Hello There!

This is the formula for volume of a cylinder

[tex]V=\pi r^2h[/tex]

where r = radius and h = height

we are given the height and diameter height - 10 ft diameter - 22 ft

we are not give the radius directly but we can easily convert the diameter to the radius by dividing by 2

22/2=11 so the radius is 11

now having found the radius and height we plug in the values into the formula (note: it says leave answer in terms of pi so we will not apply pi to the final answer.)

[tex]V=\pi 11^210\\11^2=121\\121*10=1210\\V=1210\pi[/tex]

so we can conclude that the answer is A

Answer:

9%

Step-by-step explanation:

Given :

Principal, P = 400

Time, t = 4 months = 4/12 = 0.33333

Simple interest = 12

Simple interest = (principal * rate * time)

Rate = r

12 = (400 * r * 0.33333)

12 = 133.3333r

r = 12 / 133.3333

r = 0.090000

r = 0.09

rate = 0.09 * 100% = 9%

Answer:

40%

Step-by-step explanation:

100-60=40

Answer:

x =5 & y =9

Step-by-step explanation:

let anumber x & y

-(x + 2y = 23)

4x + 2y = 38

-x -2y = -23

4x + 2y = 38

-x + 4x + 2y - 2y = 38-23

3x+0 = 15

3x /3 = 15/3

x = 5 then

5 + 2y = 23

2y = 23-5

2y/2 = 18/2

y = 9

therefore y =18 and x = 5

Answer:

18 lolly pops

Step-by-step explanation:

3 = 30p

3x6 = 1.80

= 18

Answer:

5:30 p.m.

Step-by-step explanation:

30.15 - 6 = 24.15

24.15 / 2.3 = 10.5 hrs

7 + 10.5 = 17.5 = 5:30 p.m.

Answer:

There is one equation, the slopes are different so they will intersect at one point

Step-by-step explanation:

Answer:

Pythagoras theorem= 6 squared +11 squared

= 36 + 121

= 157

Step-by-step explanation:

9y8tyfstoylhlh

Answer:

CABD

Step-by-step explanation:

Answer:

C:  y = 5x + 3

Step-by-step explanation:

Note that if x changes from 1 to 3 (the "run"), y changes from 8 to 14 (the "rise").  Thus the slope of the line represented by the table is m = rise/run = 6/2, or m = 3.  Answer choice D is the only one that displays a slope of 3.

Answer:

Answer is D

Step-by-step explanation:

A. 14=8(3), 14≠24

B. 14=3+7 , 14≠10

C. 14=5(3)+3, 14≠18

D.14=3(3)+5, 14=9+5 14=14

Answer:

The integer that represents the change in temperature is 17.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9×[tex]\frac{1}{3}[/tex]

9×1/1×3=

[tex]\frac{9}{3}[/tex]÷3=

3!!!!

Answer:

Marcy paid $4.15

Step-by-step explanation:

Given

Represent hotdogs with x and chips with y.

So, we have:

Jamal

[tex]3x + 2y = 4.85[/tex]

Kenny

[tex]5x + 6y = 9.55[/tex]

See attachment for complete question

Required

Determine the amount for 2x and 3y

From Jamal's and Kenny's orders we have:

[tex]3x + 2y = 4.85[/tex] --- (1)

[tex]5x + 6y = 9.55[/tex] --- (2)

Multiply (1) by 3

[tex]3 * [3x + 2y = 4.85][/tex]

[tex]9x + 6y = 14.55[/tex] --- (3)

Subtract (2) and (3)

[tex]9x - 5x + 6y - 6y = 14.55 - 9.55[/tex]

[tex]9x - 5x = 5[/tex]

[tex]4x = 5[/tex]

Solve for x

[tex]x = \frac{5}{4}[/tex]

[tex]x = 1.25[/tex]

Substitute [tex]x = 1.25[/tex] in [tex]3x + 2y = 4.85[/tex]

[tex]3 * 1.25 + 2y = 4.85[/tex]

[tex]3.75 + 2y = 4.85[/tex]

Solve for y

[tex]y = \frac{4.85 - 3.75}{2}[/tex]

[tex]y = \frac{1.10}{2}[/tex]

[tex]y = 0.55[/tex]

So, the cost of 2x and 3y is:

[tex]Cost = 2x + 3y[/tex]

[tex]Cost = 2*1.25 + 3*0.55[/tex]

[tex]Cost = \$4.15[/tex]

x^2 - x - 6= 0

(x - 3) ( x + 2) = 0

Equating

x - 3 = 0

x = 3

x+ 2= 0

x = -2

Answer: x - 6

Step-by-step explanation:

Answer:

D, F.

Step-by-step explanation:

D and F contain x^2.

Answer:

G. (-2.5, 0)

Step-by-step explanation:

Starting from the origin, (0, 0), go 2.5 units to the left (because it's negative) on the x-axis, and then 0 units on the y-axis. You end up on (-2.5,0).

hope this helped :)