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3 years ago

Factor the expression completely. 4x2 +5x

Mathematics

1 answer:

KiRa [710]3 years ago

8 0

Answer:

4x2= 8+5= 13

Step-by-step explanation:

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2 number cubes are rolled. (a) List the sample space. (b)What is the probability, as a simplified fraction, that the sum of the

melomori [17]

Solution:

When two number cubes are rolled,

Sample space= Total Possible outcome {11,22,33,44,55,66,12,21,13,31,14,41,15,51,16,61,23,32,24,42,25,52,26,62,34,43,35,53,36,63,45,54,46,64,56,65}=36

Probability of an event = $\frac{\text{Total favorable outcome}}{\text{Total possible outcome}}$

Sum of 4 is obtained when ={13,31,22}=3

Probability of getting 4 when 2 number cubes are rolled= $\frac{3}{36}=\frac{1}{12}$

Sum of the numbers is greater than 9= 10, 11,12={55,64,46,56,65,66}=6

Probability of getting(Sum of the numbers is greater than 9)= $\frac{6}{36}=\frac{1}{6}$

7 0

4 years ago

Two cars are 400 km apart. One car is traveling at 55 km/h and the other car is traveling at 45 km/h. If they start at the same

Alja [10]

Answer:

Two cars are 400 km apart. One car is traveling at 55 km/h, and the other cars are traveling at 45 km/h; if they start at the same time and are driving toward each other, the two cars will meet after 4 hours.

Solution:

Let the two-car be A and B.

Given that two cars are 400 km apart.

Let us assume The distance traveled by A to meet B = x km.

The distance traveled by B can be found by subtracting the total distance x from a length is traveled by A.

So distance travelled by B = (400-x) km

Time taken will be the same for A and B

We know that, we get

Let us consider the time taken by car. So time is taken by A to travel x km =

Similarly, time is taken by B to travel distance (400-x) km =

When the two cars meet, .hence we get,

On solving above equation,

9x = 11(400 – x)

9x = 4400 – 11x

9x + 11x = 4400

20x = 4400

X = 220

After 220 km of travel, the car with a speed of 55 km will meet other cars traveling at a rate of 45 km. Now the time taken for two cars to meet each other is given as,

Time is taken for cars to meet =

Hence the two cars will meet after 4 hours.

Step-by-step explanation:

4 0

3 years ago

5. The 7th grade has 386 students. There are 32 more girls than boys in the grade.

timama [110]

Answer:

161 boys

Step-by-step explanation:

First you find the even amount of boys and girls out of 386

386 divided by 2 = 193

Then you subtract 32 boys and add the 32 to girls since there are 32 more girls than boys

(boys) 193 - 32 = 161

(girls) 193 + 32 = 225

So there are 161 boys and 225 girls

7 0

3 years ago

Brayden can type 270 words in 3<br> minutes. How many words per<br> minute can Brayden type?

Salsk061 [2.6K]

Answer: 90 words per minute

====================================================

Work Shown:

270 words : 3 minutes

270/3 words : 3/3 minutes ..... divide both parts by 3

90 words : 1 minute

Brayden can type 90 words per minute (wpm).

4 0

3 years ago

Round 6.4 to the nearest whole number

aleksandr82 [10.1K]

6.4 to the nearest whole number is 6

8 0

3 years ago