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aivan3 [116]
2 years ago
16

Mr. Lopez wrote the equation 32g+8g-10g=150 on the board. Four students explained how to solve for g. Alyssa: “I added 32 and 8

to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.” Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.” Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is ” Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.” Which student’s work is correct?
Mathematics
2 answers:
Vaselesa [24]2 years ago
7 0

Answer:

Wilhem

Step-by-step explanation:

The given equation is

32g+8g-10g=150

Step 1 : Add 32g and 8g.

(32g+8g)-10g=150

(32+8)g-10g=150

40g-10g=150

Step 2: Subtract 10 from 40.

(40-10)g=150

30g=150

Step 3: Divide both sides by 30, find the value of g.

\frac{30g}{30}=\frac{150}{30}

g=5

The value of g is 5.

Therefore, Wilhem is correct.

natta225 [31]2 years ago
7 0

Answer:

whilem

Step-by-step explanation:

use your math skillz dumb dumb. Read the question and don't be imtimadated by it.

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Which ratio is different?<br><br> 3 : 7<br><br><br> 3 to 7<br><br><br> 3/7<br><br> 7 to 3
Masteriza [31]

Answer:

7 to 3 is this answer

Step-by-step explanation:

if you noticed, with all the other ones they all have 3 : 7 in it. So by the process of elimination it's 7 to 3 that is different. I'll tell you why,

3 : 7, that is the ratio we have as an example. That's why it isn't the different one.

3 to 7, you say 3 : 7 as 3 to 7 to it still has the same ratio

3/7, this is how to type the fraction version of the ratio so it makes sense that it is the same one as 3 : 7.

7 to 3, if you haven't noticed yet, all of them has 3 : 7 as a counterpart. They are all the same but this one, this is 7 : 3 or 7 to 3. So with logic, this is the different ratio.

5 0
3 years ago
Let f(x) = x - 3 and g(x) = x + 11 find f(x) times g(x)<br><br> What is the answer?
notsponge [240]

f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33

Sorry if its wrong :(

6 0
3 years ago
Can someone please answer. There is one problem. There's s picture. Thank you!
Pepsi [2]
The correct answer is the first option, 23.1 miles.

Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.

Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get 180-(57+90)=33\textdegree.

Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.

\frac{\sin(A)}{a} =  \frac{\sin(B)}{b}

For this problem, we'll let the height of the hot air balloon be a=15 and its respective opposite angle be A=33\textdegree, and let the missing x-distance be b, with its respective opposite angle B=57\textdegree. Note, we're solving for b.

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Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.
8 0
3 years ago
Rewrite the expression by combining like terms.<br> 3xy + 8x^2+ 4y + 2y - 5x^2
Lelu [443]

Answer:

3x^2 + 3xy + 6y

Step-by-step explanation:

7 0
3 years ago
ABC is a tangent to the circle below. O is the centre of the circle. Work out the size of angle 0. Give reasoning to justify you
Delvig [45]

Answer:

Θ = 46°

Step-by-step explanation:

the angle between a tangent and a radius at the point of contact is 90° , so

∠ ABO = 90°

since OB = OD ( radii of circle ) then Δ BOD is isosceles and

∠ OBD = ∠ ODB = 22°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ AOB is an exterior angle of the triangle , then

∠ AOB = 22° + 22° = 44°

the sum of the 3 angles in Δ AOB = 180° , then

Θ + 44° + 90° = 180°

Θ + 134° = 180° ( subtract 134° from both sides )

Θ = 46°

6 0
1 year ago
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