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Elden [556K]
3 years ago
5

Mathematical connections

Mathematics
1 answer:
Anna71 [15]3 years ago
8 0
RS + ST = RT

a.
2x + 10 + x - 4 = 21
3x + 6 = 21
3x = 21 - 6
3x = 15
x = 15/3
x = 5
RS = 2x + 10 = 2*5 + 10 = 10 + 10 = 20
ST = x - 4 = 5 - 4 = 1

b.
3x - 16 + 4x - 8 = 60
7x - 24 = 60
7x = 60 + 24
7x = 84
x = 84/7
x = 12
RS = 3x - 16 = 3*12 - 16 = 36 - 16 = 20
ST = 4x - 8 = 4*12 - 8 = 48 - 8 = 40

c.
2x - 8 + 11 = x + 10
2x + 3 = x + 10
2x - x = 10 - 3
x = 7
RS = 2x - 8 = 2*7 - 8 = 14 - 8 = 6
RT = x + 10 = 7 + 10 = 17

d.
4x - 9 + 19 = 8x - 14
4x + 10 = 8x - 14
10 + 14 = 8x - 4x
24 = 4x
x = 24/4
x = 6 
RS = 4x - 9 = 4*6 - 9 = 24 - 9 = 15
RT = 8x - 14 = 8*6 - 14 = 34
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The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?
PolarNik [594]

Answer:

Around 364

Step-by-step explanation:

So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)

Then you multiply this by 57: 57x6.4 = 364.8

8 0
2 years ago
Show me how to graph f(x)=3/2 x + 2
Alexxx [7]

y = (3x)/2 + 2

Slope = 3/2

y-intercept = 2


The first point is y-intercept when x = 0 = (0,2). Now according to our slope we move 3 up (Why up? Because it's positive) and 2 right (Why right? Because it's positive).

When you move 3 up from (0,2), you get (0,5) and move 2 right which is (2,5).

Remember: slope = change in y / change in x


Points: (0,2) and (2,5)

3 0
3 years ago
Grace is an hourly employee, and the line that models her total pay in dollars
tresset_1 [31]

Answer: Hello mate!

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a  signing bonus of $35.

5 0
2 years ago
Read 2 more answers
In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?
Katena32 [7]

Answer:

XY = 4.9

Step-by-step explanation:

Given

XZ= 4

\angle Y = 45

\angle Z = 60

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}

In this case:

\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}

Cross Multiply

XY * \sin(45) = 4 * \sin(60)

XY * 0.7071 = 4 * 0.8660

Make XY the subject

XY = \frac{4 * 0.8660}{0.7071}

XY = \frac{3.4640}{0.7071}

XY = 4.89888276057

XY = 4.9 -- <em>approximated</em>

3 0
3 years ago
What is 948 divided by 1,000
lana [24]

948 divided by 1,000 is 0.948

4 0
3 years ago
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