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3 years ago

Share 30 oranges between Alan and Andy in the ratio 6:4. Alan gets_

Mathematics

1 answer:

Verdich [7]3 years ago

4 0

$\frac{30}{6+4}$

$\frac{30}{10}$

$=3$

$3*6:3*4$

$18:12$

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Which of the following inequalities matches the graph?

eimsori [14]

Answer:

Step-by-step explanation:

y=2x+2

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3 years ago

A boat is carrying containers that weigh 4000 pounds each.

deff fn [24]

Answer:

4 = 16,000

8 = 32,000

10 = 40,000

Step-by-step explanation:

4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.

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2 years ago

WVXZ is a parallelogram. Given that <ZXV = 70° and <WZX =4y+34, find y and m<Z

rjkz [21]

Answer:

WZX = 110

y = 19

Step-by-step explanation:

We can create the following equation to solve for y.

$4y + 34 + 70 = 180$

Reduce

4y = 76

y = 19

We then plug into 4y + 34 to get angle

WZX = 110

5 0

2 years ago

∠A and ∠B are vertical angles. ∠A = 65x − 12 and ∠B = 43x + 10 How many degrees are in ∠A?

Margarita [4]

Answer:

53 degrees

Step-by-step explanation:

Vertical angles are congruent so...

65x-12=43x+10

22x=22

x=1

Then add it into the equation of ∠A

m∠A= 65(1)-12

65-12

7 0

3 years ago

The graph below shows the solution to which system of inequalities?

nlexa [21]

Answer:

Option D.

Step-by-step explanation:

Consider option D. $y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3$

Take point (0,0)

On putting this point in inequation $y\leq \frac{3x}{4}+10$ , we get

$0\leq 10$ which is true . So, solution is region towards the origin i,e region below the line $y= \frac{3x}{4}+10$ including the line itself .

On putting (0,0) in inequation $y\leq \frac{-x}{2}-3$ , we get $0\leq -3$ which is false , so solution is region away from the origin i.e region below line $y= \frac{-x}{2}-3$ including the line itself .

So, common solution to both the inequations is the shaded part in the given figure .

In other words, we can say that the graph shown in the given figure represents system of equations: $y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3$

5 0

3 years ago