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3 years ago

X/2 + 3/2 < 5/2 give solution

Mathematics

1 answer:

Nataly [62]3 years ago

8 0

Start with

$\dfrac{x}{2}+\dfrac{3}{2}$

Multiply the whole equation by 2. Since 2 is positive, we don't need to switch the inequality sign:

$x+3$

Subtract 3 from both sides:

$x$

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At the fair 4 employees were paid $8.75 an hour to work at a funnel cake stand. They worked 8 hours at regular pay then for 5 ho

nordsb [41]

Answer:

$125.25

Step-by-step explanation:

8.75*h+11.25*e

h is hours regular pay and e is extra pay for overtime. Since its an extra $2.50 for overtime, add that to the regular pay. Put in the hours:

$8.75*8+11.25*5$

Simplify by multiplying 8.75 by 8

$70+11.25*5$

Simplify by multiplying 11.25 by 5

$70+56.25$

Add

$70+56.25=126.25$

Since it says how much did each earn, as in individually, leave it as it is (unless regular pay was $2.18 an hour, which would be a rip-off). I'm pretty sure including the number of employees was meant to throw you off.

7 0

3 years ago

Find the inverse function

Troyanec [42]

The inverse of the function is f(x) = $x^{3}$ + 8

In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.

f(x) = $\sqrt[3]{x - 8}$ ----> Switch f(x) and x

x = $\sqrt[3]{f(x) - 8}$ ----> Cube both sides

$x^{3}$ = f(x) - 8 ----> Add 8 to both sides

f(x) = $x^{3}$ + 8

4 0

3 years ago

Identify the equation in slope-intercept form for the line containing the point (0,7) and perpendicular to y=−5/4x+11/4. HELP PL

777dan777 [17]

To write the equation of a line I need slope and y intercept (0,y)

I have y intercept (0,7) of +7 as written in the equation

The equation y=-5/4x + 11/4 has a slope of -5/4

To get perpendicular slope is negated reciprocal

so take -5/4 and flip it -4/5 and change the sign (in this case negative to positive) 4/5

so the new equation is y=4/5x +7 (third one)

6 0

3 years ago

Read 2 more answers

A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If

r-ruslan [8.4K]

Answers:

Total amount of money = 220 dollars
Amount Farah gets = 100 dollars

==========================================================

Explanation:

F = amount Farah gets
S = amount Shaiyara gets
Z = amount Zahin gets

The money is divided in the ratio 10:7:5

This means that

F = 10x
S = 7x
Z = 5x

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

F = 10x = 10*10 = 100
S = 7x = 7*10 = 70
Z = 5x = 5*10 = 50

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

6 0

2 years ago

F= z-g/n<br> solve for z

Vera_Pavlovna [14]

Z= F+ (g/n) (you’re welcome)

7 0

3 years ago

X/2 + 3/2 < 5/2 give solution ​

X/2 + 3/2 < 5/2 give solution