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kompoz [17]
3 years ago
11

9x + 9x − 21 = 33 Please solve for x C:

Mathematics
2 answers:
sdas [7]2 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

Combine like terms

18x - 21 = 33

add 21 to both sides

18x = 54

divide both sides by 18

x=3

JulsSmile [24]2 years ago
5 0
X=3 hope this helps :)
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Carol is going to make a wooden pyramid and then paint it. She drew the net of a square pyramid as shown below to help her plan
rodikova [14]

The given pyramid's total surface area is 3. 24.0 square feet.

Step-by-step explanation:

Step 1:

To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.

There are 3 triangles and 1 square in the figure.

Step 2:

All the triangles are similar.

The surface area of a triangle = \frac{1}{2} (baselength)(height).

The similar triangles have a base length of 3 feet and a height of 2.5 feet.

The surface area of 1 similar triangle = \frac{1}{2} (3)(2.5)= 3.75 square feet.

The surface area for all the similar triangles = 3.75 (4) = 15 square feet.

Step 3:

The surface area of a square is the square of its side length. The square has a side length of 3 feet.

The surface area of the square = a^{2} = 3^{2} =9 square feet.

Step 4:

To calculate the total surface area we sum up all the individual surface area.

The total surface area = 15 + 9 = 24 square feet which is the third option.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%28t%29%20%3D%202t%20-%203%20%5C%5C%20f%287%29" id="TexFormula1" title="f(t) = 2t - 3 \\ f(7)
Ostrovityanka [42]

Answer:11

Step-by-step explanation:

5 0
3 years ago
Kirby is four miles from the train station, from which a train is due to leave in 56 minutes. Kirby is walking along at 3 mph, a
Luda [366]
Let's assume that Kirby walks with a speed 
v_1 = 3 mph
for a time t_1, and that he runs with a speed
v_2 = 12 mph
for a time t_2.

The total time available for Kirby to catch the train is:
t=56 min = 0.93 h
and this must be equal to the sum of the two times t1 and t2:
0.93 = t_1 + t_2 

The distance Kirby should cover is
S=4 m
and this should be equal to the sum of the distances covered by walking and by running:
4 = S_1 + S_2 = v_1 t_1 + v_2 t_2 = 3 t_1 + 12 t_2

So we have a system of 2 equations:
0.93 = t_1 + t_2
4 = 3 t_1 + 12 t_2

If we solve the system, we find:
t_1 = 0.80 h = 48 min
t_2 = 0.13 h = 8 min

So, Kirby needs to run at least for 8 minutes in order to catch the train.
6 0
3 years ago
Select a counter-example that makes the conclusion false.
Leya [2.2K]

The statement is False.

For this, it is enough to show a case in which the subtraction of two positive numbers is negative.

For this, we must choose two numbers.

Suppose we want to subtract the following numbers:

Number 1: 5

Number 2: 10

Subtracting both numbers we have:

5 - 10 = -5

We observe that the result is negative. Therefore, the given conclusion is false.

Answer:

Counterexample:

5-10 = -5

4 0
3 years ago
Read 2 more answers
Find e-0.3<br><br> A) -0.74<br> B) 0.74<br> C) -1.35
deff fn [24]
E^-0.3 = 0.74 from the calculator
4 0
3 years ago
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