The larger of two numbers is twice the smaller increased by five. Find the two numbers if three times the larger exceeds double the smaller by 31

Answers

Answer 1
Answer:

Answer:

Larger number is 13 and Smaller number is 4.

Step-by-step explanation:

Let the larger number be x.

Also let the smaller number be y.

We need to find the two numbers.

Given:

The larger of two numbers is twice the smaller increased by five.

framing in equation form we get;

x=2y+5 ⇒equation 1

Also Given:

Three times the larger exceeds double the smaller by 31

3x=2y+31 ⇒equation 2

Now Substituting the value of x from equation 1 in equation 2 we get;

3(2y+5) = 2y+31

Now Using Distributive property we get;

6y+15 = 2y +31

Combining the like terms we get;

6y-2y = 31-15

Now Using Subtraction property we get;

4y =16

Now Using Division property we get;

(4y)/(4)=(16)/(4)\n\ny =4

Now Substituting value of y in equation 1 we will find the value of x.

x=2y+5\n\nx = 2*4+5\n\nx=8+5\n\nx=13

Hence Larger number is 13 and Smaller number is 4.


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Could someone help me please i dont know the answer to this problem:
-5 > x + (-4)

Answers

Inequalities are very easy once you get the hang of it .

-5>x+(-4)
You want to put X by itself so its easier. So to do this you will have to move the 4
-5>x+(-4) The way to move the 4 is to Add 4 on both sides because it is negative
-5>  x+  (-4)
(+4)       (+4)
And so since -4 +4 is 0 you erase it from the side.
-5+4> X and the rest you will just solve.

Anne bought a necklace for each of her three sisters. She paid $7 for each necklace. Suppose she had $9 left. Write and solve an equation to find how much money Anne had initially to spend on each sister. Please help I need it can't figure it out.

Answers

7x3+9=original
you take how how much you pay for each necklace multiply by the sisters and add what you have left

Answer:

30 dollars to spend

Step-by-step explanation:

7 times 3= 21

21+9=

What pattern will result from plotting all points x, y that satisfy an equation in the form ax+by=c

Answers

You only need to plot two points, because the pattern is a
straight line, and any two points on it define the entire line.

-- The slope of the line is [ -a/b ] .

-- The line intersects the x-axis at [ x = c/a ] .

-- The line intersects the y-axis at [ y = c/b ] .

Answer:

-- The slope of the line is [ -a/b ] .

-- The line intersects the x-axis at [ x = c/a ] .

-- The line intersects the y-axis at [ y = c/b ] .

Step-by-step explanation:

I-Ready How tall is Leon ?

Answers

Answer:

4 5/12 feet tall

Step-by-step explanation:

3/4  becomes 9/12

1/3 becomes 4/12

9 - 4 = 5

5/12

5 5/12

Answer:

1 5/12

Step-by-step explanation:

To subtract fractions, we must find a Common Denominator for the two fractions.

We can find a common denominator simply by multiplying the denominators by eachother.

4*3=12

3*4=12

Now we also have to multiply the numerator by what the denominator was multiplied by, so everything is equal.

3*3=9 so 9/12

1*4=4 so 4/12.

If Leons brother is 4 and 9/12 tall, we can multiply the denominator by the whole number and add it to the numerator to get an improper fraction. This makes it possible to subtract.

4*12=48 and dont forget to add the extra 9! Leons brother is 57/12 tall. Now just subtract.

57/12-4/12=53/12 or 4 and 5/12.

Leon is 4 and 5/12 tall.

Hope this helps!

63POINTS! 1.) Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.2.) Write the inequality and show all work to solve the inequality.
3.) Explain what your solution means in the context of the problem.

Answers

Answer:

1)

Ola taxi charges a $8 flat rate in addition to $2 per mile. Paul has no more than $10 to spend on a ride.

2)

Let x be the number of miles.

Then, we have inequality: 8x+2\leq 10

Solve the inequality: 8x+2\leq 10.

Subtract 2 from both the sides:

8x+2-2\leq 10-2

Simplify:

8x\leq 8

Divide by 8 both sides we get;

x\leq 1

as shown in figure 1.

4)  

From the context of the problem :

we can say that Paul can travel 1 miles or less before reaching his limit of $10.





Answer:

A football team wants to by a football. The football costs $51. There are 11 members of the team. How much will each of the team members contribute to be able to purchase the football if they had $29 already.

Solution: Let the amount each team member contributes be x, then

11x + 29 ≥ 51

11x ≥ 51 - 29

11x ≥ 22

x ≥ 22/11

x ≥ 2

Step-by-step explanation:

a minivan can hold up to 7 people. How many minivans are needed to take 45 people to a basketball game?

Answers

Answer=7 minivans

45/7=6.4

since you can't have 0.4 minivans, we round up 6.4 to 7