Lisa is 14 years old. Her age is
two sevenths of her father's age.
How old is Lisa's father?

Answer:

The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h

Step-by-step explanation:

System of Equations

Let's call:

B = speed (rate) of the boat in still water

S = speed (rate) of the stream

The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:

[tex]\displaystyle B-S=\frac{172}{3}[/tex]

Multiplying by 3:

3B - 3S = 172        [1]

The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:

[tex]\displaystyle B+S=\frac{372}{4}=93[/tex]

B + S = 93

Solving for B:

B = 93 - S       [2]

Substituting in [1]

3(93 - S) - 3S = 172

Operating:

279 - 3S - 3S = 172

279 - 6S = 172

Subtracting 279:

- 6S = 172 - 279

- 6S = -107

Multiplying by -1 and solving for S:

[tex]S = \frac{107}{6}\approx 17.83\ km/h[/tex]

From [2]:

[tex]B = 93 - \frac{107}{6}[/tex]

[tex]B=\frac{451}{6}\approx 75.17\ km/h[/tex]

Answer:

i would reword this to 6x+7=61

Step-by-step explanation:

So.  

move the 7 to the right side of the equation but as an opposite number so in this case its gonna be a negative

61-7=54

then you divide the number and get your missing numbers

54/6=9

d=9

plug it in

6(9)+7=61

Answer:

170.8

Step-by-step explanation:

Answer:

9 x 8

Step-by-step explanation:

Answer:

ok so basically what you do is since you know they are consecutive numbers, one is x and the other is x+1. Now when you multiply x and x+1 you get 72 , so this basically turns into a quadratic where x(x+1)=72. Thus,X^2+x=72. subtract 72 from both sides- x^2+x-72=0. Then you can solve for x using the quadratic formula or some other way and you get x to be 8 or -9. OH WAIT THERE IS ANOTHER SOLUTION IT IS -9 AND -8. . Anyway yea hoped this helped.

Step-by-step explanation:

Answer:

And 2 from grand-pa pa

Step-by-step explanation:

Answer: 6 snack bags

Step-by-step explanation:

In rder to know mnay bags destiny ca make, we need a number is a factor of 18 and 12, so that the 18 chocolate candy bars and the 12 cookies can be divided up evenly.

So, if there were 2 bags, thre would be 18÷2=9 chocolate candy bars and 12÷2=6 cookies in a bag. This creates identical snack bags, but isn't the greatest number of bags!

To find the greatest snack bag, we want to find the greatest common factor of 18 and 12

To do so, let's find factors of 18 ans 12

18: 1, 2, 3, 6, 9, 18

12: 1, 2, 3, 4, 6, 12

The greatest common factor of 18 and 12 is 6. in math notation this looks like:

gcf (18, 12) = 6

The greatest number of identical bags can make is 6

Answer:

a= 8 and PQ= 28

Step-by-step explanation:

since triangle XYZ and triangle PQR are congruent, we will write the equation like this:

PQ=XY

3a+4= 5a—12

3a—5a= —12—4

—2a= —16

a= 8

SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ

PQ= 3a+4

PQ= 3(8)+4

PQ= 24+4

PQ= 28

Answer: What is the ratio of 7 to 2?

Students learn that a ratio is a comparison of two numbers or quantities. For example, if there are 2 shaded parts of a picture and 7 unshaded parts, the ratio of shaded parts to unshaded parts is 2 to 7. Note that the ratio 2 to 7 can also be written as 2:7 or 2/7

What is the ratio of 7 to 5?

20 : 28

5 : 7 = 20 : 28. And 7 is a fourth of 28.

Step-by-step explanation:

Answer:

506

Step-by-step explanation:

To find a percent answer is easy, just do this:

Enter your base number here: 460

Enter your percent here: 110%

460 x (convert 110% to a decimal) 1.1 = 506

Your welcome =)

Answer:

The answer is 506

Step-by-step explanation:

Answer:

I got 105°

Step-by-step explanation:

Triangle ABC is an isosceles triangle so base angles are equal. <A = 30° (given)

180 - 30 = 150°

150/2 = 75°

the little triangle is also isosceles. the original base angles have been bisected so the base angles are 37.5.

37.5 X 2 = 75°

180-75 = 105°

D = 105°

Answer: Caiden

Step-by-step explanation:

For Caiden, at the second minute, the water is already at 7 ounces. However, Bella is still at 8 ounces. And Caiden is drinking at a speed of 2.5 ounces per minute while Bella is drinking at a speed of 2 ounces per minute.

Hope that helped!

Answer:

60

Step-by-step explanation:

first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer

Answer:

60!

Step-by-step explanation:

100% is 40

to increase that by 50, do 1.5 times 40

the answer to that is 60

Answer:

1.036, 1.063, 1.36, 1.603

Step-by-step explanation:

Hope this helped, have a great day :)

Answer:

question A: 50%

Step-by-step explanation:

For question A: the percentage is ( enroll(2014) - enrol(2012) ) / enrol(2012) for  that is 0.5 = 50%, same method for the other questions

Answer:

Im not too sure what the question is

Step-by-step explanation:

but when finding the percent of any number, 10% will always move the decimal over to the left once. So 10% of 300 is 30.0 This also works for 1%, you just move the decimal over twice. So 1% of 300 is 3

Answer:

Try option B

Step-by-step explanation:

sub to Pen Paper

Hi there!

So what we have to do here is...

turn 2³ - 1 into 2·2·2-1=4·2=8-1=7.

[tex]\frac{35}{7}=5[/tex]

Final Result: 5

Answer: 40 hours.

Step-by-step explanation: You can combine the like terms 0.75d and 1.25d to make 2d. 2 hours times 20 days is 40 hours.

250.35 that the anwers hope this help a lot

Answer:

0, 2, 4, 6, 8

Step-by-step explanation:

the first couple of multiples of 2 are...

2, 4, 6, 8, 10

the last digits are 0, 2, 4, 6, 8...

so, 0, 2, 4, 6, 8 are the last digits!

Answer:

(-3,-6)

Step-by-step explanation:

Answer:

The slope is [tex]m=-\frac{3}{2}[/tex]

Step-by-step explanation:

The slope point equation is given by:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Here:

The first point is (x1,y1)=(5,-3)

The first point is (x2,y2)=(-1,6)

Then, the slope will be:

[tex]m=\frac{6-(-3)}{-1-5}[/tex]

[tex]m=\frac{9}{-6}[/tex]

[tex]m=-\frac{3}{2}[/tex]

I hope it helps you!

Answer:

120

Step-by-step explanation:

Krutika:48

David: 48

Mark: 48÷2= 24

Because 2 : 2 : 1

48+48+24=120

Answer:

X=5

Exlanation

Answer:

[tex]18x + 8= (180 - 46) = 134 \\ 18x = 126 \\ \boxed{x = 7}[/tex]

Answer:

[tex]-3x^{3}+7x^{2} -3[/tex]

Step-by-step explanation:

Answer:

x=1/2

Step-by-step explanation:

10x+3=6x+5

10x-6x=5-3

4x=2

divide both by 4

x=1/2

Answer:

Therefor X = 1/2

Correct answer ✅

Answer:

128 oz

Step-by-step explanation:

128 ounces in the us

Answer:

D. y-4=-1(x-1)

Step-by-step explanation: