Help please Which number sentence below matches this word problem?

Y=2x-5 3x+8y+32=56 What does y and x equal?

AVprozaik [17]

Y = 2x - 5
3x + 8y + 32 = 56
3x + 8(2x - 5) + 32 = 56
3x + 8(2x) - 8(5) + 32 = 56
3x + 16x - 40 + 32 = 56
19x - 8 = 56
 + 8 + 8
 19x = 64
 19 19
 x = 3.4
y = 2(3.4) - 5
y = 6.8 - 5
y = 1.8
(x, y) = (3.4, 1.8)

5 0

3 years ago

Penny's function has an output that is four more than three times the input. Johns function expressed in slope-intercept form is

jonny [76]

John's function : y = 3.5x - 4
Penny's function : y = 3x + 4

C. John's function has a greater rate of change, because 3.5 > 3

5 0

3 years ago

Please help me with this

Len [333]

Answer:

60 degrees

Step-by-step explanation:

To first solve this problem, we need to figure out the size of an interior angle for a regular hexagon.

This can be done with the formula :

$angle = \frac{(n-2)*180}{n}$ , with n being the number of sides

A hexagon has 6 sides so here is how we would solve for the interior angle:

$\frac{(6-2)*180}{6}=120$ , with n= 6 sides

Now that we know that each interior angle in the hexagon is 120 degrees, we can now turn our attention to the rhombus.

The opposite angles of the rhombus are congruent, so the two larger obtuse angles are congruent, and so are the two smaller acute angles.

It is also important to note that a rhombus is a quadrilateral, so all of its interior angles add up to 360 degrees.

Looking at the rhombus, we already know one of the angles because it is shared by the interior angle of the hexagon, so the two larger angles in the rhombus are both 120 degrees.

But what about the smaller angles? All we need to do is subtract the two larger angles form 360 and divide by 2 to find the angle.

$\frac{360-2(120)}{2} = 60$ , so the smaller angle in the rhombus is 60 degrees.

Now that we know both the interior angle and smaller angle of the rhombus, we can find x.

Together, angle x and the angle adjacent to it makes up an interior angle of the hexagon, so x plus that angle is going to equal to 120 degrees.

All we need to do is solve for x:

$x+60=120$

$x=120-60$

x = 60 degrees

3 0

3 years ago

2. What is the value of the expression?

polet [3.4K]

Answer:

B. 8.35

Step-by-step explanation:

3.5 x 1.7 = 5.95

5.95 + 2.4 = 8.35

You multiply first because of PEMDAS.

P=parenthesis

E=exponents

M=multiply
D=divide
A=add
S=subtract

4 0

2 years ago

Read 2 more answers

If 6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in how many minutes

Marianna [84]

Answer:

It'll take 144 minutes for 5 pipes.

Step-by-step explanation:

${ \sf{6 \: pipes = 120 \: mins}} \\ { \sf{5 \: pipes = ( \frac{6}{5} \times 120) \: mins}} \\ \\ = { \sf{144 \: mins}}$

but practically, it seems to be abnormal. if 6 pipes take 120 mins, 5 pipes must takes a time greater than 120 mins cause amount of water flowing to the tank is decreasing.

But there is a possibility that pressure of water was increased for the case of five pipes, that's why it takes a time less than 120 mins. (t < 120)

5 0

3 years ago

Read 2 more answers