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sesenic [268]
3 years ago
9

Braden and Jason, who are florists, purchased flower bouquets and vases at the same store. Braden bought 3 flower bouquets and 5

vases for a total of $25.75. Jason bought 8 flower bouquets and 2 vases for a total of $29.00.
What's the price of a flower bouquet?
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0
The price of a flower bouquet is $2.75 according to the information on the question above. This problem can be solved using two linear equations with two different variables based on the transaction. The first equation is 3x +5y= 25.75 and the second equation is 8x+2y=29 which can be simplified as y=14.5-4x. You can find the x by substituting the "y" variable on the first with the second equation resulting in "x =2.75" which is the price of the flower bouquet<span>.</span>
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A 12​-tooth gear on a motor shaft drives a larger gear having 42 teeth. If the motor shaft rotates at 700 ​rpm, what is the spee
nata0808 [166]

Answer:

203 rpm

Step-by-step explanation:

The speed of the larger gear can be calculated using the following equation:

v = \omega*R  

<u>Where</u>:

ω: is the angular velocity of the motor = 700 rpm

R: is the gear ratio

The gear ratio is the following:

R = \frac{n_{(a)}}{n_{(b)}}  

<u>Where:</u>

n(a): is the number of teeth on the small gear = 12 teeth  

n(b): is the number of teeth on the larger gear = 42 teeth

The gear ratio is:

R = \frac{12}{42} = 0.29

Now, the speed of the larger gear is:

v = \omega*R = 700 rpm*0.29 = 203 rpm

Therefore, the speed of the larger gear is 203 rpm.

I hope it helps you!                        

3 0
2 years ago
802.06 expanded form
saveliy_v [14]

in expanded form, it would be 800+2+0.6

3 0
3 years ago
Solve for . Simplify your answer as much as possible. please help
Sonja [21]

Answer:

x=-6

Step-by-step explanation:

So we have the equation:

-34=7(x+8)+8x

First, distribute the 7 into the (x+8) and simplify:

-34=7(x)+7(8)+8x\\-34=7x+56+8x

Combine the like terms 7x and 8x by adding them together:

-34=56+15x

Subtract 56 from both sides to isolate the x:

-34-56=15x+56-56\\15x=-90

Divide both sides by 15 to get x:

x=-90/15=-6

5 0
2 years ago
2/3(x-2)=-2<br>how would I solve this ​
xeze [42]

Answer:

x =(5/3)

Step-by-step explanation:

The given expression is \frac{2}{3(x-2)}  = -2

Now to simplify it,

The first step is to cross multiply.

So, the expression becomes

\frac{2}{(-2)}  = 3(x-2)

or, -1  = 3x - 6

⇒  3x = -1 + 6

⇒ 3x = 5 , or x =(5/3)

7 0
2 years ago
Please help im so confused​
slava [35]

Answer:

\text{1. }50^{\circ}\\\text{2. }80^{\circ}

Step-by-step explanation:

1. The measure of an inscribed angle is always half the measure of the arc it forms. Since angle ACB forms arc AB with a measure of 100 degrees, the measure of angle ACB will be equal to \frac{100}{2}=\boxed{50^{\circ}}.

2. Relating to problem 1, both inscribed angles marked in the figure form the same arc. All inscribed angles forming the same arc will have the same measure. Therefore, the measure of angle GEF is equal to \boxed{80^{\circ}}.

3 0
2 years ago
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