All categories

2 years ago

Twenty-seven minus 2/3 of a number (x) is not more than 36. What is the number?

Mathematics

2 answers:

xenn [34]2 years ago

7 0

Answer:

x ≥ 13.5

Step-by-step explanation:

"2/3 of a number (x)" ---> (2/3)x

"Twenty-seven minus 2/3 of a number (x)" ---> 27 - (2/3)x

"is not more than 36" can be rephrased as " is less than or equal to 36"

hence

27 - (2/3)x ≤ 36 (subtract 27 from both sides)

- (2/3)x ≤ 36 - 27

- (2/3)x ≤ 9 (multiply both sides by -1, remember to flip the sign)

(2/3)x ≥ -9 (multiply both sides by 3/2)

x ≥ -9 (3/2)

x ≥ 13.5

Nuetrik [128]2 years ago

4 0

The number is D. xs-6

You might be interested in

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Montano1993 [528]

Answer:

$0.2$ miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points $(0,3), (5,4),(10,5)...$

From these points we can find the slope of the line .

From point slope formula $y-y_1=m(x-x_1)$

And assigning $(x,y) (0,3)$ and $(x_1,y_1) (5,4)$

$m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2$

This slope is also the speed of the bird which is $0.2\ miles\ per\ minute.$

As by plugging the values of any coordinate point we can confirm this.

Lets put $(10,5)$ , y-axis is the distance so in $10$ minutes the the distance covered by the bird must be equal to to y-axis value which is $5$ miles.

$y=0.2(x),y=0.2(10)=5\ miles$

Now as in $t=0$ the bird has started from y-intercept value $3$ so we can say that,the original distance of the bird from its nest is $3\ miles$ .

So the correct choices are: $B$ and $D$

The birds speed is $0.2\ miles$ per minute and is $3\ miles$ away from its nest.

7 0

2 years ago

Jezebel took a train to visit her uncle. The train traveled at a constant speed of 40 miles per hour. Complete the table. Then,

sergiy2304 [10]

Answer:

[see below]

Step-by-step explanation:

We can tell that for every hour passed the distance traveled by the train would increase by 40 miles.

We can use the equation d = 40t to determine the values of the table. The 'd' is total distance and 't' is the number of given hours.

Two hours:

d = 40(2)

d = 80

Three Hours:

d = 40(3)

d = 120

Four Hours:

d = 40(4)

d = 160

Hope this helps.

4 0

2 years ago

Read 2 more answers

Which combination of integers can be used to generate the Pythagorean triple (5,12,13)

Kitty [74]

Answer:

x=3 and y=2

Step-by-step explanation:

The pythagorean triples are generated by two integrers x and y that can be found by solving the following system of equations:

$\left \{ {{x^{2}-y^{2}=5}\atop {2xy=12}} \atop {x^{2}+y^{2}=13}}\right.$

Solve the system of equations, and we get that the solution is x=3 and y=2.

Therefore, the combination of integrers that ca be used to generate the pythagorea triple are: x=3 and y=2

3 0

3 years ago

Read 2 more answers

Solve and explain your reasoning (x+3)=-6

densk [106]

Answer:

(x+3)=-6

x=-6-3

x=-9

Step-by-step explanation:

Hope it helps!

When side changes positive changes into negative.

5 0

2 years ago

Limit as x approaches 9 of x^2 -81/sqrt of x - 3

Ipatiy [6.2K]

Answer:

108

Step-by-step explanation:

Limit as x approaches 9 of x^2 -81/sqrt of x - 3

First substitute x into the expression

= 9²-81/√9 - 3

= 81-81/3-3

= 0/0 (indeterminate)

Apply l'hospital rule

= lim x -> 9 d/dx(x²-81)/√x - 3

= lim x -> 9 2x/1/2√x

Substitute x = 9

= 2(9)/1/2√9

=18/1/(2(3)

=18 × 6/1

= 108

Hence the limit of the function is 108

7 0

2 years ago