Find the gradient and intercept of the line y=9x-1

Answers

Answer 1

Answer: This equation is in slope-intercept form,so 9x = slope and -1 = y-intercept.

Answer 2

Answer: 9x= slope and -y=y intercept

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Write an expression that can be used to check the quotient of 646 divided 3

Answers

An expression used to check the quotient would be this:
3x=646
Then, do as you normally would and divide 646 by 3:
646/3 = x
x≈215.33

In a parking lot of 240 red and blue cars, the ratio of red cars to blue cars is 3:5. How many red cars are in the parking lot?

Answers

Given:
240 red and blue cars
3:5 ratio of red cars to blue cars

3 + 5 = 8

red cars: 3/8 * 240 = 90
blue cars: 5/8 * 240 = 150

ratio of red cars to blue cars: 90:150

simplify:
90 ÷ 30 = 3
150 ÷ 30 = 5

Thus: 90:150 = 3:5

Answer:

90, because 3/8 of the cars are red

Step-by-step explanation:

This is the answer on ttm.

5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?

Answers

Answer:

60km

Step-by-step explanation:

75/10=x/8

Solve For X

75*8=600, 600/10=60

THEREFORE

75/10=60/8

You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage

Answer:

60km

Step-by-step explanation:

Let x represent the required distance.

Since the quantity of petrol is directly proportional to the distance:

x : 75 = 8 : 10

i.e. $(x)/(75)$ = $(8)/(10)$

x = $(75 * 8)/(10)$

x = 60

∴ The distance is 60 km.

Hope this helps!!!

Factor completely 3x2 + 5x + 1.(3x + 1)(x + 1)

(3x + 5)(x + 1)

(3x − 5)(x + 1)

Prime

Answers

Answer:

(D)

Step-by-step explanation:

The quadratic equation is in the form :

$(x+p)(x+q)$

$x^2+px+qx+pq$

$x^2+(p+q)x+pq$

and In the above, (p + q) = b and pq = c.

To factor a quadratic, we'll need to start by finding the two numbers (being the p and the q above) that add up to equal b, where those numbers also multiply to equal c.

Since, both 3 and 5 in the given equation $3x^2+5x+1$ are prime numbers, thus the given equation cannot be factorised because of the prime nature.

Hence, option D is correct.

Factor completely: 3x2 + 5x + 1
multiples of 1:
1*1=1 1+1=2

3x2 + 5x + 1 can not be factored anymore, it's prime

Add and simplify 9/16 + 1/2= ?

Answers

when adding fractions, they should have the same denominator.
the denominators of the 2 fractions 9/16 and 1/2 are 16 and 2 respectively.
to bring them both to the same denominator we can multiply both numerator and denominator of 1/2 by 8 and we get ---> 8/16.
$(1*8)/(2*8) = (8)/(16)$
then the 2 fractions are 9/16 and 8/16. Now we can add the 2 fractions. when denominator is same the numerator values shoud be added.

$(9)/(16) + (8)/(16) = (17)/(16)$
This is an improper fraction since 16/16 is 1 whole and 1/16 is remaining, simplified fraction = 1 1/16

The addition of $\frac{9}{{16}} +(1)/(2)$ is $\boxed{\frac{{17}}{{16}}}.$

Further explanation:

Given:

The expression is $\frac{9}{{16}} + (1)/(2).$

Explanation:

Consider the first fraction as $\frac{9}{{16}}$ and consider the second fraction as $(1)/(2).$

To add the two fractions first we need to make the same denominator.

The denominator of the first fraction is 16.

The denominator of the second fraction is 2.

Multiply the numerator and denominator of the second fraction by 8.

$\begin{aligned}{\text{Fraction}}&= (1)/(2) * (8)/(8)\n&= \frac{8}{{16}}\n\end{aligned}$

Now the denominator of the second fraction is 16.

The second fraction is $\frac{8}{{16}}.$

Now add the fractions and simply.

$\begin{aligned}{\text{Addition}}&=\frac{9}{{16}} + \frac{8}{{16}}\n&= \frac{{9 + 8}}{{16}}\n&= \frac{{17}}{{16}}\n\end{aligned}$

The simplified or improper fraction of addition can be obtained as follows,

$\begin{aligned}S&= \frac{{16 + 1}}{{16}}\n&=\frac{{16}}{{16}} + \frac{1}{{16}}\n&= 1 + \frac{1}{{16}}\n&= 1\frac{1}{{16}}\n\end{aligned}$

The addition of $\frac{9}{{16}} + (1)/(2)$ is $\boxed{\frac{{17}}{{16}}}.$

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Fractions

Keywords: fraction, simplify, 9/16, 1/2, add, subtraction, denominators, numerators,

Nora is running a race that is 26.2 miles. She is running at a speed of 18 miles per hour. She has completed 3/4 of the race. How much longer will it take Nora to finish the race?

Answers

Answer:

The answer to your question is 6.55 mi

Step-by-step explanation:

Data

Length of the race = 26.2 mi

speed = 18 mi/h

3/4 of the race have been ran

Process

1.- Calculate 3/4 of 26.2

26.2(3/4) = 78.6/4

= 19.65 mi

2.- Calculate the distance she needs to run to finish the race

= 26.2 - 19.65

= 6.55 mi

3.- Conclusion

She needs to run 6.55 mi to finish the race.

Final answer:

Nora will take approximately 21.85 minutes to finish the race.

Explanation:

To find out how much longer it will take Nora to finish the race, we need to first calculate the distance she has already completed. Since she has completed 3/4 of the race, we can calculate it by multiplying the total distance of the race (26.2 miles) by 3/4.

Distance completed = 26.2 miles * 3/4 = 19.65 miles

Next, we need to calculate how much distance Nora has left to cover. Since the total distance of the race is 26.2 miles and she has completed 19.65 miles, the distance left is:

Distance left = 26.2 miles - 19.65 miles = 6.55 miles

Finally, we can calculate the time it will take Nora to finish the race by dividing the remaining distance by her speed:

Time to finish = Distance left / Speed = 6.55 miles / 18 miles per hour = 0.364 hours (or approximately 21.85 minutes)

Therefore, it will take Nora approximately 21.85 minutes to finish the race.

Learn more about Calculating time to finish a race here:

brainly.com/question/32446875

#SPJ12

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