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3 years ago

Solve the inequality:

Mathematics

1 answer:

steposvetlana [31]3 years ago

6 0

Answer:

x >_ 1

Step-by-step explanation:

Solving an inequality is a lot like solving an equation. Just pretend the inequality symbol is an equal sign!

(also i wont be using the _ or equal to symbol because I'm too lazy, so you'll get >_ or <_ for those, sorry)

8 + 4x >_ 12

-8 -8

4x >_ 4

/4 /4

x >_ 1

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At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed st

EastWind [94]

Answer:

C. Left-handed: 48, Right-handed: 504

D. Left-handed: 30, Right-handed: 315

Step-by-step explanation:

We are given that there are 58 left-handed students and 609 right-handed students at East Middle School and these numbers of students are proportional to the number of left and right handed students at East Middle School.

Given the above information, we are are to determine which two options could be the the numbers of left-handed and right-handed students at West Junior High.

Ratio of right handed to left handed students at East Middle School = $\frac{609}{58} = 10.5$

Checking for ratios of the given options:

A. $\frac{483}{42} =11.5$

B. $\frac{378}{28} =13.5$

C. $\frac{504}{48} =10.5$

D. $\frac{560}{56} =10$

E. $\frac{315}{30} =10.5$

Therefore, the possible numbers of left-handed and right-handed students at West Junior High could be C. Left-handed: 48, Right-handed: 504 and D. Left-handed: 30, Right-handed: 315.

7 0

3 years ago

Read 2 more answers

I cut a long piece of wood into 50cm pieces. I manage to cut

ehidna [41]

Answer:

$WoodLength = 50w + 20$

Step-by-step explanation:

Given

Length of Pieces = 50cm

Number of Pieces = w

Left over = 20cm

Required

Determine the length of the wood

Start by multiplying the number of pieces by the length of each pieces

$Result = Length * Number$

$Result = 50 * w$

$Result = 50 w$

Lastly, add the leftover to get the actual length of the wood

$Wood Length = Result + Leftover$

Substitute 50w for Result and 20 for Leftover

$WoodLength = 50w + 20$

Hence, the length of the wood is 50w + 20

5 0

3 years ago

Help solve 88 please

Fofino [41]

Answer:

The equation of the line is y = -2x + 7

Step-by-step explanation:

* Lets study how to make an equation of the line from two point

- If the line passes through points (x1 , y1) and (x2 , y2)

- The form of the equation is y = mx + c, where m is the slope of the

line and c is the y-intercept

- The rule of the slope is m = (y2 - y1)/(x2 - x1)

- The y-intercept means the line intersect the y-axis at point (0 ,c)

* Now lets solve the problem

∵ The line passes through points (-3 , 13) and (4 , -1)

- Let (-3 , 13) is (x1 , y1) and (4 , -1) is (x2 , y2)

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (-1 - 13)/(4 - -3)

∴ m = (-14)/7 = -2

- Lets write the form of the equation

∵ y = mx + c ⇒ substitute the value of m

∴ y = -2x + c

- To find the value of c use one of the two points to substitute the

values of x and y in the equation

∵ The line passes through (4 , -1)

∴ -1 = -2(4) + c

∴ -1 = -8 + c ⇒ add 8 to both sides

∴ -1 + 8 = -8 + 8 + c

∴ 7 = c

∴ y = -2x + 7

* The equation of the line is y = -2x + 7

4 0

3 years ago

You purchase a $220 Arline ticket. You have a discount code to receive 10% off. There is a 10.5% service charge added to the tot

antoniya [11.8K]

When you see % next to a number, you multiply it by .01.
10 becomes .1
10.5 becomes .105

220*.1=22, so this is the 10% off
220*.105=23.1, so this is the 10.5% service charge.

220-22+23.1=$221.10 for the ticket.

7 0

3 years ago

1. Find the area of the triangle. 3 yd 10 yd 6.5 yd? 30.0 yd2 13.0 yd2 15.0 yd2

Damm [24]

Answer:

Step-by-step explanation:

1/2(6.5 x 3) = 9.75

you want to do 1/2bh.

So, take the two legs (3 and 6.5) and multiply them and then multiply them by 1/2

3 0

2 years ago