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Sedaia [141]
3 years ago
7

What is 6a<42 and a + 4>7

Mathematics
1 answer:
ozzi3 years ago
6 0

Answer:

let's start with

6a<42

a<7

Next we simplify

a+4>7

a>7-4

a>3

Step-by-step explanation:

Answer

3<a<7

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RSTU is a rectangle. If UT = x + 10 and RS=20,<br> find x.<br> a. 30<br> b. 10<br> c. 20<br> d. 150
Vinvika [58]
B issssssss the answerrrrrrrrrr
3 0
3 years ago
Need help asap important! thanks so much!
a_sh-v [17]

Answer:

You would have $343.37 at the end of the 2 years.

Step-by-step explanation:

Interest earned is like bonus money the bank pays you just for keeping money

\mathrm{Compund\:Interest\:Formula}:\quad A =  P {  \left( 1+ \dfrac{ r  }{ n  }    \right)    }^{ nt  }

P: the starting balance of the account (also called initial deposit, or principal)

A: the new balance in the account after N years.

t: the number of years or time

r: the interest rate, (in decimal form)

n: the number of times the interest is compounded each year.

Annually = each year = 1

P =$300, r = 7%, t = 2, n = 1, A = ?

Substitute the numbers into the "Compound Interest Formula".

A =  300 {  \left( 1+ \dfrac{ 0.07  }{ 1  }    \right)    }^{ 1 \times  2  }

\mathrm{Anything\:divided\:by\:1\:gives\:itself}

A =  300 {  \left( 1+0.07  \right)    }^{ 1 \times  2  }

\mathrm{Add\:1\:and\:0.07\:to\:get\:1.07}

A =  300 \times   { 1.07  }^{ 1 \times  2  }

\mathrm{Multiply\:1\:and\:2\:to\:get\:2}

A =  300 \times   { 1.07  }^{ 2  }

\mathrm{Calculate\:1.07\:to\:the\:power\:of\:2\:and\:get\:1.1449}

A =  300 \times  1.1449

\mathrm{Multiply\:300\:and\:1.1449\:to\:get\:343.47}

A =  343.47

So you would have $343.37 at the end of the 2 years.

Look at the chart

\mathrm{Year}\quad \mathrm{Year\: Interest}\quad \mathrm{Total\:Interest}\quad \mathrm{Balance}\\\quad1\quad\quad\quad $21.00\quad\quad\quad\quad $21.00\quad\quad\quad\quad $321.00\\\quad2\quad\quad\quad $22.47\quad\quad\quad\quad $43.47\quad\quad\quad\quad $343.47

8 0
3 years ago
To make lemonade, Kate uses 1 cup of lemon juice and 2 cups sugar. If she makes a larger amount of lemonade with 10 cups of suga
juin [17]
For this problem, I will use diagram.
First if all, we know that Kate used 1 cup of lemon juice and 2 cups sugar, so we have this:
1 cup of lemon juice=2 cups sugar
Then, the problem asked to find how many cups of lemon juice does Kate needs with 10 cups of sugar, and now we have have the complete tree diagram

1 cup of lemon juice= 2 cups of sugar
?cups of lemon juice=10 cups of sugar
Step 1:
Use cross multiply
10×1=10
Step 2:
Use division
10÷2=5
As a result, Kate will need 5 cups of lemon juice with 10 cups sugar
But there is another way to find the answer, too. If you curious, here is the second way:
The ratio between cup of sugar/cup of lemon juice, so
2 cups of sugar/1 cup of lemon juice. In conclusion, Kate use double amount of sugar than lemon juice, so the question asked us to find how many cups of lemon juice does Kate needs with 10 cups sugar. To find the answer, take 10÷2=5 cups of lemon of juice is your final answer. Hope it help!
5 0
3 years ago
Read 2 more answers
Find the total area of the four walls of a room 12 m long, 10 m wide and 4 m high.
Radda [10]

Answer:

<h2>416m^2</h2>

Step-by-step explanation:

<h3>Area = Length * Width</h3><h3>Volume = Length * Width * Height</h3>

<h3>As we all can see,from the question we were given the parameters for calculating volume instead of the ones for calculating "area"</h3>

<h3>But from the the parameters, we can calculate for the total surface area</h3>

<h3>Floor = 12m ×10m = 120m^2</h3>

<h3>Roof = 12m × 10m = 120m^2</h3>

<h3>Front and back walls (x2) = 10m × 4m ×2 = 80m^2</h3>

<h3>Side walls (x2) = 12m × 4m × 2 = 96m^2</h3><h3>Total surface area</h3>

<h3>= 120m^2 + 120m^2 + 80m^2 + 96m^2</h3>

<h3>= 416 m^2</h3>
8 0
2 years ago
The admission fee at an amusement park is $4.00 for children and $5.60 for adults. On a certain day, 284 people entered the park
miv72 [106K]
4c+5.6d=1360
Let
Children (c)=x
Adults (d)=284-x

4x+5.6 (284-x)=1360
Solve for x
4x+1590.4-5.6x=1360
4x-5.6x=1360-1590.4
-1.6x=-230.4
X=230.4÷1.6
X=144 children

284−144=140 adults
3 0
3 years ago
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