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3 years ago

20 POINTS Can someone check over these? I have a quiz on it tomorrow :(

Mathematics

1 answer:

Mama L [17]3 years ago

3 0

Looks good! You have the right answers.

However, the graph for 12 and 15 is inaccurate! Because he starts from a stop sign/stop light, the graph's speed should start from the origin!

Not to confuse you or anything, but this means the graph does not follow the description of the problem. Please let your teacher know so s/he can fix the worksheet.

You might be interested in

Please help me thnk you

kramer

For this question, we use the Pythagorean theorem.

$a^2+b^2=c^2$

We know the lengths of the legs, a and b.
$a=3$
$b=4$

Now, let's solve for the hypotenuse, c.

$3^2+4^2=c^2$
$25=c^2$

Take the positive square root.

$\boxed{c=5}$

Hope this helps! :)

8 0

3 years ago

Read 2 more answers

Consider the equation

muminat

Answer:

A. $a=10\\ \\b\neq -8$

B. $a=10\\ \\b= -8$

Step-by-step explanation:

Consider the equation

$2(5x-4) = ax + b$

A. This equation has no solutions when the coefficients at x are the same and the free coefficients are not the same.

First, use distributive property:

$2(5x-4)=2\cdot 5x-2\cdot 4=10x-8$

So, the equation is

$10x-8=ax+b$

This equation has no solutions when

$a=10\\ \\b\neq -8$

B. The equation has infinitely many solutions when the coefficients at x are the same and the free coefficients are the same too.

So, the equation

$10x-8=ax+b$

has infinitely many solutions when

$a=10\\ \\b= -8$

In other cases, the equation has a unique solution

5 0

3 years ago

Plz help.

zvonat [6]

$x-\ the price \ of \ the \ gift \ \\ \\ 10\% \ of \ x= \frac{10}{100}*x= \frac{1}{10}*x=\frac{x}{10}- the \ discount \\ \\x^{(10} -\frac{x}{10}= \frac{10x-x}{10}= \frac{9x}{10} -the \ new \ price \ \\ \\4*9.00 \$=36 \$ -the \ price \ after \ discount \\ \\ \frac{9x}{10}=36 =>x=\frac{10*36}{9} \\ \\ \boxed{x=40 \$}$

the variant A.$40.00

5 0

3 years ago

The total cost for tuition plus room and board at State University is $2,584.00. Tuition costs $100 more than twice room and boa

liq [111]

Answer:

$1756

Step-by-step explanation:

1. More = Addition

2. Twice = Multiplication by 2

3. Tuition costs $100 more than twice room and board

Tuition = 2x + 100

$2584 = (2x + 100) + x

$2584 = 3x + 100

4. Subtract 100 on both sides: $2484 = 3x

5. Divide both sides by 3: $828 = x

6. Plug it in to the tuition equation: Tuition = 2(828) + 100

= $1756

Check Work: (828*2) + 100 = $1756

$1756 + 828 = $2584

7 0

2 years ago

What is the area cause I am having a hard trouble

fomenos

The figure consists of a triangle and two rectangles.

-----------------------------
Top Triangle:
-----------------------------
Height = 22 - 10 - 7 = 5cm
Base = 20 - 5 - 5 - 10cm
Area of triangle = 1/2 x 5 x 10 = 25 cm²

-----------------------------
Middle Rectangle:
-----------------------------
Length = 10cm
Width = 7cm
Area = 10 x 7 = 70 cm²

-----------------------------
Bottom Rectangle:
-----------------------------
Length = 20 cm
Width = 10 cm
Area = 20 x 10 = 200 cm²

-----------------------------
Total Area:
-----------------------------
Area = 25 + 70 + 200 = 295 cm²

-----------------------------
Answer: Area = 295 cm²
-----------------------------

6 0

3 years ago