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salantis [7]
3 years ago
6

1 over 2 + 3 over 10 =?​

Mathematics
2 answers:
lesya692 [45]3 years ago
5 0

Answer:

0.8

Step-by-step explanation:

hope this helps

Romashka [77]3 years ago
3 0
0.8 because 1 over 2 + 3 over 10 is equal to 0.8
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Steffie makes a scale drawing for a crate with the demensions 15 inches long by 12 inches wide. Her scale factor is 1:3. Brian m
rodikova [14]

Answer:

Dimensions → (5 inches × 4 inches)

Step-by-step explanation:

Scale factor used for the drawing by Steffie = \frac{1}{3}

Since, scale factor = \frac{\text{Dimension of the drawing}}{\text{Actual dimension}}

For Steffie,

Actual length of the crate = \frac{\text{Dimension of the drawing}}{\text{Scale factor}}

                                           = \frac{15}{\frac{1}{3}}

                                           = 45 inches

Actual width of the crate = \frac{12}{\frac{1}{3} }

                                         = 36 inches

Since Brian used the scale factor = \frac{1}{9}

Length of the drawing = Actual length × Scale factor

                                     = 45 × \frac{1}{9}

                                    = 5 inches

Width of the drawing = Actual width × Scale factor

                                   = 36 × \frac{1}{9}

                                   = 4 inches

Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)

6 0
3 years ago
Given that a = 10cm and b = 27cm work out theta rounded to one decimal place?
klemol [59]

Answer:

28.8

Step-by-step explanation:

A squared plus b squared equals c squared.

3 0
3 years ago
For a resistor in a direct current circuit that does not vary its resistance, the power that a resistor must dissipate is direct
Mrrafil [7]

THe problem is basically telling us: P=kV^2

where P is the power disappated and V^2 is our voltage squared.

\frac{1}{16}=k*14^2\implies\\ \frac{1}{16*196}=k \implies \\ \frac{1}{3136}=k

So, for the second example to find the power we simply have to plug k and our voltage back in, so:P=\frac{14^2*3^2}{14^2*6} \implies \\ P=\frac{9}{6}= \frac{3}{2}

6 0
3 years ago
What’s the answer to this? Explanation would be helpful.
marta [7]

Answer:

search mo foogle noe kasi mali

3 0
3 years ago
Brainliest to correct!! Please help :)
Zielflug [23.3K]

Answers:  2700 and 5300 in that order

Katie invested <u>$2700</u> at a rate of 3% and <u>$5300</u> at a rate of 4%

===============================================================

Explanation:

  • x = amount invested at a rate of 3%
  • y = amount invested at a rate of 4%

Those two amounts must add to 8000 because this is how much she invests total. So x+y = 8000 is the first equation to set up.

The formula we'll be using is the simple interest formula, which is,

i = p*r*t

where p is the amount deposited or principal, r is the interest rate, and t is the number of years. Luckily, we don't have to worry about the time value t because t = 1 so it effectively goes away. We just need to worry about p and r.

The variable p will be tied directly to the values of x and y, as these are deposit amounts. The r values are decimal forms of the percentages (eg: 3% converts to 0.03)

In short, Katie will earn

  • 0.03x dollars from the first account (3% account)
  • 0.04y dollars from the second account (4% account)

In total, she earns 0.03x+0.04y dollars combined. This is set equal to 293 as this is the stated interest she earns over the entire year.

So another equation to set up is 0.03x+0.04y = 293

This only works for simple interest. Compound interest may likely be a different story.

----------------------------------------------------

To summarize so far, we found these two equations:

  • x+y = 8000
  • 0.03x+0.04y = 293

We have a number of options on how to solve this system. I'll use substitution.

Solve the first equation for y

x+y = 8000

y = 8000-x

Then we'll plug this into the other equation to solve for x like so,

0.03x+0.04y = 293

0.03x+0.04( y ) = 293

0.03x+0.04( 8000-x ) = 293

0.03x+0.04(8000)+0.04(-x) = 293

0.03x+320-0.04x = 293

-0.01x+320 = 293

-0.01x = 293-320

-0.01x = -27

x = -27/(-0.01)

x = 2700

This tells us that Katie invested $<u>2700</u> at 3%

Use this x value to find y

y = 8000-x

y = 8000-2700

y = 5300

She also invested $<u>5300</u> at 4%

----------------------------

As a quick check,

  • x+y = 2700+5300 = 8000

so that works out

Also,

  • 0.03*x = 0.03*2700 = 81
  • 0.04*y = 0.04*5300 = 212
  • 0.03x+0.04y = 81+212 = 293

which also works out. The answers are fully confirmed.

7 0
3 years ago
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