1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
borishaifa [10]
3 years ago
7

3. James drives for 5 hours at a certain speed and then for 4 hours at a speed 6 km/h greater than his original speed. If he dri

ves 294 km altogether, what was his first speed?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
4 0

Answer:30km/hr

Step-by-step explanation:

Total distance=294km

Speed=s

Distance=d

Time=t

First drive:

t=5

d=s x t

d=s x 5

d=5s

Second drive:

t=4

Speed is 6km/h greater than the first speed

The new speed= s+6

d=4(s+6)

Total distance=294

5s + 4(s + 6)=294

5s + 4s + 24=294

Collect like terms

5s + 4s=294 - 24

9s=270

Divide both sides by 9

9s/9=270/9

s=30

First speed=30km/hr

You might be interested in
form a 6 digit number divisible by 1 first 2 divisible by 2, first 3 digits divisible by 3, first 4 digits divisible by 4, first
photoshop1234 [79]

Answer:

111111

Step-by-step explanation:

Digit 1: This can be any digit as all numbers are divisible by 1. I picked 1 because it was simplest.

Digit 2: The total needs to be divisible by 2, so I picked my total to be 2. I knew I already had 1 from the previous digit, so 2-1 =1 was my next digit.

Digit 3: The total must be divisible by 3, so I picked my total to be 3. I already had 2 from the two previous digits, so 3-1 = 1 was my next digit.

I hope you get the idea now, it follows the same pattern for the rest of the numbers.

Hopefully this helps, any questions let me know :)

7 0
3 years ago
A vessel sails 41 miles S 35° E. How far south has it sailed?
const2013 [10]

Option A: The vessel has sailed 34 miles South

Explanation:

Given that the vessel sails 41 miles S 35° E.

We need to determine the how far south the vessel has sailed.

Let us use the Pythagorean theorem to find the distance of the vessel has sailed.

Thus, we have,

cos \ \theta=\frac{adj}{hyp}

Substituting \theta=35^{\circ} , adj=x and hyp=41

Hence, we get,

cos \ 35=\frac{x}{41}

Simplifying, we have,

0.82=\frac{x}{41}

Multiplying both sides by 41, we have,

33.62=x

Rounding off to the nearest integer, we have,

34=x

Thus, the vessel has sailed 34 miles South.

Therefore, Option B is the correct answer.

6 0
3 years ago
What is the interquartile range of the following data set? 5, 6, 7, 3, 4, 5, 6, 8, 7
Ann [662]

Answer:

2.5

Step-by-step explanation:

lower quartile.

3, 4, 5, 5, 6, 6, 7, 7, 8

median = 6

lower quartile 1/4th position

(4+5)/2 = 4.5

Upper quartile 3/4th position

(7+7)/2 = 7

Interquartile range = upper quartile - lower quartile

                                = 7 - 4.5

                                 = 2.5

8 0
3 years ago
Read 2 more answers
Jessica purchased 30 dolls and play trucks for the play school. Each doll costs $5 and each playtruck costs $10. How many dolls
dimaraw [331]

Answer:

16 dolls and 12 trucks

Step-by-step explanation:

simple math

6 0
3 years ago
A garage is drawn using a scale of 2 2/3 inch =6feet if the actual height is 68 ft what is the height of the garage
butalik [34]

Answer:

Step-by-step explanation:

The drawing of the garage is a smaller representation of the actual garage. A garage is drawn using a scale of 2 2/3 inch = 6feet. Let us first convert 2 2/3 inch to improper fraction. It becomes 8/3 inch.

Let us determine the unit measurement.

If 6feet = 8/3 inch,

1 foot will be 8/3 ÷ 6 = 8/3×1/6

= 8/18 inches. Therefore

if the actual height is 68 ft , then, the height of the garage on the drawing will be

68 × 8/18 = 272/9 = 30 2/9 inches

3 0
4 years ago
Other questions:
  • Please help fast!
    14·1 answer
  • Write the quadratic equation in factored form. Be sure to write the entire equation.
    13·1 answer
  • A rock is thrown upwards from the top of a building 200 feet high with an initial velocity of 96 feet per second
    5·1 answer
  • How do you rename 805 tens
    14·1 answer
  • What equation is equal to <br> 8y + 16 - 2y - 9?
    12·1 answer
  • Will give brainliest and rate five stars thanks!!!
    14·1 answer
  • Ncjc pls help help help help help help help helperlorororl dhhdhdjdjdjdkdkdkxlxzllzllz
    15·1 answer
  • The points (1, 2), (2, 11), (3, 26) and (4, 47) are on the graph of a function. Write an explicit function that can be used to r
    15·1 answer
  • A
    12·1 answer
  • 2/5% as a fraction in it's simplest form​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!