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Stella [2.4K]
4 years ago
14

A scale model of a butterfly has a width of 12 centimeters and a height of 8 centimeters. If the actual width of the butterfly i

s 9 centimeters, what is the actual height of the butterfly?

Mathematics
1 answer:
Nataliya [291]4 years ago
8 0

Isn't it 5? x=5 cause the model's height is 4 less than the width so like if the actual width is 9 than the height is 4 smaller

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2x+3y=-12<br> 2x+t=-16<br> X=. Y=<br> Help plz
8090 [49]

<u>To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.</u>

Answer:

<em>x = -9</em>

<em>y = 2</em>

Step-by-step explanation:

<u>Solve the system:</u>

2x + 3y = -12       [1]

2x + y = -16       [2]

Subtracting [1] and [2]:

3y - y = -12 + 16

2y = 4

y = 4/2 = 2

From [1]:

2x + 3(2) = -12

2x + 6 = -12

2x = -18

x = -18/2 = -9

Solution:

x = -9

y = 2

8 0
3 years ago
Reggie is looking up yearly job benefits, the pay is $8.50 an hour for a 40- hour week. His employer also provides fridge benefi
Vika [28.1K]

hello

to solve this problem, we need to work out how much he earns weekly, and then work it up to annually

step 1

calculate the weekly wage into annual wage

he earns $8.50/h and works 40 hours in a week

weekly wage =

\begin{gathered} 8.50\times40=340 \\ \text{ in 1 year, we have 52 weeks} \\ \text{annual wage =340}\times52=17680 \end{gathered}

Raggie earns $17,680 annually

he gets fridge benefit of 19% of his annual wage

we need to find 19% of $17,680

\begin{gathered} \frac{19}{100}=\frac{x}{17680} \\ 100\times x=19\times17680 \\ 100x=335920 \\ x=\frac{335920}{100} \\ x=3359.2 \end{gathered}

he gets additional $3359.2 as fridge allowance

we can add up the total to know his total annual wage

total annual wage = wage + allowance = $17680 + $3359.5 = $21,039.2

his annual expense

commuting = $419

uniforms = $560

parking = $430

total expense = $419 + $560 + $430 = $1,409

net wage = gross wage - expenses

net wage =

\begin{gathered} \text{net wage=} \\ 21039.2-1409=19630.2 \end{gathered}

Reggie's annual wage after expenses = $19630.2

7 0
1 year ago
Let f(x)= 8x^3 - 28x + 61 and g(x) = 2x+5. fins f(x) over g(x).
Rina8888 [55]
8x^3-28x+61/2x+5

4x^2-10x+11 with a remainder of 6 

Not sure if there is supposed to be a remainder but there is one 
8 0
3 years ago
Couldn't fit the whole graph but someone please help im so confused ​
yulyashka [42]
(2,0) is the correct answer
5 0
3 years ago
WILL AWARD BRAINLIEST If the least value the variable k can be is 12, which of the following inequalities best shows all the pos
Scilla [17]

Answer:

D

Step-by-step explanation:

If the least it can be is 12, that means that with will have to be equal to 12

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Put these two together and you get D) k is greater than or equal to 12

4 0
3 years ago
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