Pls help me with this

Translate the sentence into an inequality.<br> The sum of 3 and c is less than -29.

Solnce55 [7]

Answer:

3+c < -29 or c+3 < -29 because of communitive property

Step-by-step explanation:

First, the sum means addition, you could write 3+c or c+3 because addition is communitive property.

Then the sum is less than -29 so we need to use the less than symbol which is this symbol: <

Now write the inequality! 3+c < -29

6 0

3 years ago

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How to Graph of y=1/2x-4

Advocard [28]

Answer and explanation:

We know that this is in slope-intercept form. ( y = mx + b )

1/2 would be the slope (you would use this to graph the next point)

-4 would by your y-intercept (where the line crosses the x-axis)

With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.

3 0

3 years ago

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a guy wire is attached to a tree 3.5ft above the ground to stabilize it. if the guy wire forms an angle with the tree of 50°, wh

balandron [24]

The plane figure formed by the ground, the guy wire, and the tree is a right triangle with the hypotenuse equal to length of the guy wire. The angle given is an angle adjacent to 3.5 ft. Therefore, the most suitable trigonometric function for this is,
cos (50°) = adjacent / hypotenuse
cos 50° = 3.5 ft / hypotenuse
The value of the hypotenuse is 5.445 ft.
Hence, the length of the guy wire is approximately 5.445 ft.

4 0

3 years ago

Julie used her gift card for the local coffee shop to buy iced teas for herself and five friends. After she and one friend place

valentina_108 [34]

Answer:

One glass of iced tea cost $2.72

Step-by-step explanation:

Let,

x be the amount of gift card.

y be the amount of one glass of iced tea.

According to given statement;

Julie and her friend bought tea and remaining balance was $14.85

x - 2y = $14.85 Eqn 1

All the six members bought tea and remaining balance was $3.97

x - 6y = $3.97 Eqn 2

Subtracting Eqn 2 from Eqn 1

$(x-2y)-(x-6y)=14.85-3.97\\x-2y-x+6y=10.88\\4y=10.88$

Dividing both sides by 4

$\frac{4y}{4}=\frac{10.88}{4}\\y=2.72$

Hence,

One glass of iced tea cost $2.72

4 0

3 years ago

8. How many ways can a committee of 5 students be chosen from a student council of 30 students? Is the order in which the member

tankabanditka [31]

Answer: A committee of 5 students can be chosen from a student council of 30 students in 142506 ways.

No , the order in which the members of the committee are chosen is not important.

Step-by-step explanation:

Given : The total number of students in the council = 30

The number of students needed to be chosen = 5

The order in which the members of the committee are chosen does not matter.

So we Combinations (If order matters then we use permutations.)

The number of combinations of to select r things of n things = $^nC_r=\dfrac{n!}{r!(n-r)!}$

So the number of ways a committee of 5 students can be chosen from a student council of 30 students= $^{30}C_5=\dfrac{30!}{5!(30-5)!}$

$=\dfrac{30\times29\times28\times27\times26\times25!}{(120)\times25!}=142506$

Therefore , a committee of 5 students can be chosen from a student council of 30 students in 142506 ways.

4 0

3 years ago