John earned $9 by selling 3 candy bars, all of which are the

Grace rakes leaves everyday for one week. She fills the same number of bags with leaves on each of the 5 weekdays. She fills 11

svlad2 [7]

Answer:

3 bags per weekday

Step-by-step explanation:

Total bags of leaves at the end of the week = 26 bags

Bags of leaves she fills over the weekend = 11 bags

Bags of leaves she fills during weekdays = x bags

Total bags of leaves at the end of the week = Bags of leaves she fills over the weekend + Bags of leaves she fills during weekdays

26 = 11 + x

Subtract 11 from both sides

26 - 11 = 11 - 11 + x

15 = x

x = 15 bags

If she fills the same number of bags with leaves on each of the 5 weekdays.

how many bags she filled each weekday.

Bags she filled each weekday = Total Bags of leaves she fills during weekdays / 5 weekdays

= 15 bags / 5 weekdays

= 3 bags per weekday

7 0

3 years ago

Cassandra assigns values to some of the measures of triangle ABC. If angle A measures 30°, a = 6, and b = 18, which is true?

Anna [14]

Answer:

The triangle does not exist because sin(A)/a can not be equal to sin(B)/b

Step-by-step explanation:

we know that

step 1

Find the measure of angle B

Applying the law of sines

$\frac{sin(A)}{a}=\frac{sin(B)}{b}$

we have

$A=30\°$

$sin(30\°)=1/2$

$a=6\ units$

$b=18\ units$

substitute

$\frac{(1/2)}{6}=\frac{sin(B)}{18}$

$\frac{1}{12}=\frac{sin(B)}{18}$

$sin(B)=\frac{18}{12}$

$sin(B)=\frac{3}{2}=1.5$

Remember that the value of sine can not be greater than 1

therefore

The triangle does not exist because sin(A)/a can not be equal to sin(B)/b

8 0

3 years ago

I need help ASAP plx

ElenaW [278]

Answer: good thinking

Step-by-step explanation:

here is the answer idk

7 0

2 years ago

Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to

Ronch [10]

Answer:

The return trip take 5 minutes 27 seconds

Step-by-step explanation:

Let

x -----> the time it take the cheetah travels to go from its resting place to a rock near a river in hours

y ----> the time it take the cheetah the return trip to its resting place in hours

we know that

The distance from its resting place to a rock near a river is the same that the return trip

The average speed multiplied by the time is equal to distance

so

The total time is 15 minutes

Convert to hours

15 min=15/60 hours

x+y=(15/60)

x+y=1/4

4x+4y=1 -----> equation A

40x=70y ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point ( 0.1591,0.0909)

see the attached figure

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The time it take the cheetah the return trip to its resting place is 0.0909 hours

Convert to minutes and seconds

0.0909 hours=0.0909(60)=5.454 minutes

o.454 minutes=0.454(6)=27.24 seconds

therefore

The return trip take 5 minutes 27 seconds

To the river

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The rate is 40 mph

To find out the distance multiply the average rate by the time

Find out the distances

The distance from its resting place to a rock near a river is

$d_1=40x=40(0.1591)=6.36\ miles$

From the river

The time it take the cheetah the return trip to its resting place is 0.0909 hours

The rate is 70 mph

To find out the distance multiply the average rate by the time

Find out the distances

The distance of the return trip is

$d_2=70x=70(0.0909)=6.36\ miles$

Both distances are the same

8 0

2 years ago

Please help me solve this problem! :)

stich3 [128]

Answer:

28,028 in3

Step-by-step explanation:

3 0

2 years ago