If Alyssa created a family tree in the year 2001 and if grandma is 68 what year was grandma born Please show work

Answers

Answer 1
Answer: 2001-68=1933
Grandma was born in 1933

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Explain why all integers are rational numbers, but not all rational numbers are integers

Answers

all integers can be in a fractional form
while all fractions cant be integers 

Francisco had 4.5 L of orange juice for a party. He needed a total of 6 L for all of his guests, so he made 1.5 L more juice. Did Francisco make a reasonable amount of juice for the party? NEED HELP!



A.
Yes, Francisco made a reasonable amount because he made 1.5 L more so he had 6 L of juice (4.5 + 1.5 = 6).


B.
No, Francisco did not make a reasonable amount because he needed a total of 10.5 L (4.5 + 6 = 10.5).


C.
No, Francisco did not make a reasonable amount because he needed a total of 7.5 L of juice (6 + 1.5 = 7.5).

Answers

its (a) because you add 4.5L + 1.5L and that equals 6L 

Answer:

A. Yes, Francisco made a reasonable amount because he made 1.5 L more so he had 6 L of juice (4.5 + 1.5 = 6).

What numbers can you make using the digits 5,3, 8?

Answers

alot
5,3,8,35,53,38,83,358,385,583,538,835,853
that is not counting repeats

5,3,8,83,85,88,38,35,33,53,58,55

Which graph shows the solution to the system of inequalities? y<1/2x-2 y≤-2x+4

Answers

Answer:

First of all, we need to graph the equation of the two lines and find each region separately.

The first line is:

y=(1)/(2)x-2

This line has been plotted in the first figure below. To find the feasible region, let's take a random point and test the inequality, so let's take (0,0)

y<(1)/(2)x-2 \n \n 0<(1)/(2)(0)-2 \n \n 0<-2 \ False!

Since for (0,0) the inequality is false, then the region for this inequality is not where the point (0, 0) lies, but the other region, that is, the one under the line as indicated in the second figure. Keep in mind that points on the border of this region, that is, points that lies on the line aren't included in the region because the symbol < tells us that the equality is not included.

The second line is:

y=-2x+4

This line has been plotted in the third figure below. To find the feasible region, let's take (0,0) again, so let's take (0,0)

y\leq -2x+4\n \n 0\leq -2(0)+4 \n \n 0<4 \ True!

Since for the point (0,0) the inequality is true, then the region for this inequality is where this point lies as indicated in the fourth figure. Keep in mind that points on the border of this region, that is, points that lies on the line are included in the region because the symbol ≤ tells us that the equality is included.

_____________________

Finally, the solution to the system of inequalities is the one where the red and blue region overlap as indicated in the fifth figure below.

Answer:

Step-by-step explanation:

3. Laura walks 3/5 mile to school each day. Isaiah walk to school is 3 times as long as Laura's. Howfar does Isaiah walk to school each day?

Answers

Lets write down what we know...

Laura walks 3/5 mile to school everyday

Laura=3/5mile

Isaiah's walk is 3 times as long as Lauras, so

Isaiah=Laura*3

We know how far Lauras walk is so we can solve for Isaiah's walk

Isaiah=3/5*3 (or Isaiah=3/5+3/5+3/5 if thats easier for you to solve for)
Isaiah=9/5 miles

Now we know the answer! Great, Isaiah walks 9/5 miles to school each day. But 9/5 is an improper fraction, so lets convert it to a mixed number.

9/5=

To solve for this, we have to find out how many times 5 can go into 9. 5 goes into 9 one time with a remainder of 4, so we can write the mixed number as.

9/5= 1 4/5

Isaiah walks 9/5miles or 1 4/5 miles. Both are correct.
In this question, it is important to understand the words of the problem and then note down the details already provided in the problem. This will make the solving of this problem easier.Now coming to the details already given.
Distance walked by Laura to reach school each day = 3/5 mile
Distance walked by Isaiah to reach school is 3 times that of Laura and it is already given in the question.
Then
The distance walked by Isaiah to reach school each day = (3/5) * 3
                                                                                           = 9/5
                                                                                           = 1 4/5
So Isaiah walks a distance of 1 4/5 miles each day for reaching school. I hope that the procedure of doing such problems is clear to you and yiou can attempt such problems in future without needing any help.

Solve for x. −5x−4(x−6)=−3 Enter your answer in the box. x =

Answers

-5x -4(x-6) = -3

distribute

-5x -4x+24 = -3

combine like terms

-9x +24 = -3

subtract 24 from each side

-9x = -27

divide by -9

x = 3

Answer:

x=3

Step-by-step explanation:

−5x−4(x−6)=−3


To solve for x:

for this we have to make the equation in such a way that the variable x lies on the left side and constant terms on the right side.

First distribute -4 over x and -6

We get -4x+24.

Substitute in the equation.

-5x-4x+24 =-3

Subtract 24 from both the sides

-5x-4x = -3-24

Or =9x = -27

Divide by -9

X = 3