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]
2 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]2 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
A box has dimensions of 17 inches long 1.3 feet wide and 8 inches high what is the volume of the box the formula of the volumes
nataly862011 [7]
The box is about 2121.6 inches cubed
8 0
3 years ago
Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.
Oduvanchick [21]
  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c

\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

In this case, we have the graph of:

y=x

And we need to translate it to make it the graph of:

y=x-1+4

According to our rules we need:

  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

But y=x-1+4 is the same as y=x+3, so the previous steps can be simplified as:

  • Shifting the graph of y=x 3 unit to the left.

Below are shown those graphs:

  • The blue one is y=x
  • The red one is y=x-1+4

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

6 0
3 years ago
Help me please due in 30 minutes !
scoundrel [369]

Answer:

B

Step-by-step explanation:

5 0
2 years ago
How many significant figures are there in the number 3,002.1?
Rzqust [24]

Answer:

It has 5 significant figures.

Step-by-step explanation:

8 0
2 years ago
in triunghiul isoscel ABC, AB=AC=36cm, m(BAC)=45°, iar BE perpendicular pe AC, E apartine (AC). Calculati Aria ABC, BE
melisa1 [442]

when given SAS, the area (A) of the triangle = (side1 · sin θ · side2)/2

A = (36 · sin 45° · 36)/2

= (36² · √2)/4

= 9 · 36 · √2

= 324√2

≈ 458.2

4 0
3 years ago
Other questions:
  • (Uniform) Suppose X follows a continuous uniform distribution from 3 to 9. (a) Write down the PDF of X. (b) Find P(X ≤ 6). Round
    11·1 answer
  • The ratio of the side length of Square A to the side length of Square B is 11:9 the area of Square A is 448 cm^2. What is the pe
    10·1 answer
  • 5x+(6x divided by -9)<br><br> Who ever answer’s this i will mark brainliest
    5·1 answer
  • Help if you can please
    14·1 answer
  • Write the equation of the line that passes through the points (−7,0) and (6,−4).
    12·1 answer
  • What is the area of the trapezoid below?
    12·2 answers
  • What are the solutions of the equation?<br> y=-7(x-3)(x+4)
    6·1 answer
  • 4a^2-8a=0solve by competing square​
    10·2 answers
  • Pls help me on this problem as soon as possible(if u don’t know pls do not answer
    14·1 answer
  • PLSSSSSSS HELPPPPPPPPPP MEEEEEEEEEEEEEE
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!