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ikadub [295]
3 years ago
5

Please help on both questions. I would appreciate it.

Mathematics
1 answer:
ohaa [14]3 years ago
8 0

Answer:

first one is 4.5 second one is 45

Step-by-step explanation:

You might be interested in
Solve the following problem by defining your variables and writing a system of equations:
serious [3.7K]

Answer:

1 donut and a bag of coffee costs $4.50

Step-by-step explanation:

Start by creating a pair of simultaneous equations.

Let x = a donut.

Let y = a bag of coffee.

Therefore:

8x+2y=18

3x+y=7.50

There are a few ways to solve these equations. This time I'll show you the elimination method. We eliminate one of the variables to get the other variable equal to a number.

Start by multiplying one of the equations by a number so that one of the variables has the same coefficient (number at the front) as the same variable in the other equation.

I'll multiply the second equation by 2 so that the y will have a coefficient of 2 like the 1st equation.

2(3x+y)=2(7.50), 6x+2y=15.

Now we have two equations with the same coefficient of y. We can subtract the equations from each other to eliminate the y variable and leave x equal to a number.

Subtracting  8x+2y=18 and 6x+2y=15 :

8x+2y-(6x+2y)=18-(15)

Simplify to get 2x=3.

Therefore x = 1.5.

Now we have one of the variables, we can find the other variable by putting the known variable back into one of the equations.

3x+y=7.50 - original equation

3(1.50)+y=7.50 - substituting x.

4.50 +y=7.50 - simplifying

y=3 - re-arranging to solve for y

Therefore, x=1.5 and y=3.

So 1 donut costs $1.50 and 1 bag of coffee costs $3.

1 donut and a bag of coffee costs $4.50

5 0
3 years ago
What is the measure of the smallest angle? <br> 53° <br> 57° <br> 63° <br> 64°
Luba_88 [7]

Answer:

53

Step-by-step explanation:

The smallest number of degrees is the smallest angle

53 is the smallest number

5 0
3 years ago
Yoshi earns a commission of eight dollars on sales of $200 the amount of commission yes she earns is directly proportional to th
nadezda [96]

Answer:

k = constant of proportionality = 1/25

Step-by-step explanation:

Let

Amount of commission = x

Sales = y

Amount of commission she earns is directly proportional to the sales

x = k * y

Where,

k = constant of proportionality

what is the constant of proportionality of Yoshi sales commission

x = k * y

x = $8

y = $200

x = k * y

8 = k * 200

8 = 200k

k = 8/200

k = 1/25

k = constant of proportionality = 1/25

4 0
3 years ago
A submarine was traveling along the surface of the ocean and decides to dive. If the dive angle is 28° with the horizontal surfa
Alex_Xolod [135]

Answer:

1.5 nautical miles

Step-by-step explanation:

See the attached diagram.

The submarine starts to dive at point A and diving along AB.

If the distance traveled underwater i.e. AB = 1.7 Nautical miles and C is the point directly above its current position at B.

Then Δ ABC is a right triangle having ∠ BAC = 28° {Given}

So, using trigonometry we can write  

\cos 28 = \frac{AC}{AB} = \frac{AC}{1.7}

⇒ AC = 1.7 \times \cos 28 = 1.5 nautical miles.

Therefore, the surface distance that the submarine travels is 1.5 nautical miles. (Answer)

3 0
3 years ago
I need some help urgently, the subject is stretching and relating quadratic functions
IgorLugansk [536]

Answer:

Step-by-step explanation:

Quadric functions from what I know are basically functions that may have more than 1 answer. For example 2x=16 x could either be -2 or positive 2. Hope that helps!

8 0
3 years ago
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