Answer:
See below ~
Step-by-step explanation:
<u>Table 1</u>
⇒ Side length : Perimeter = <u>1 : 4</u>
⇒ Perimeter : Side length = <u>4 : 1</u>
<u></u>
<u>Table 2</u>
⇒ Radius : Diameter = <u>1 : 2</u>
⇒ Diameter : Radius = <u>2 : 1</u>
<u></u>
<u>Table 3</u>
⇒ Number of people : Number of tables = <u>5 : 1</u>
⇒ Number of tables : Number of people = <u>1 : 5</u>
Answer:
6 apples and 5 bananas
Step-by-step explanation:
x + y = 11
x = 11 - y
1.75x + 0.70y = 14
1.75(11 - y) + 0.7y = 14
19.25 - 1.75y + 0.7y = 14
5.25 = 1.05y
y = 5
x = 11 - 5 = 6
The lowest score you can earn on the next test and still achieve an average of at least an 88 is 107
<h3>Mean of data</h3>
Mean is the average of numbers.
Mean = sum of data/sample size
Let the lowest score be "x" such that;
Mean = 74+78+90+91+x/5
88 = 74+78+90+91+x/5
88(5) = 74+78+90+91+x
440 = 74+78+90+91+x
440 = 333 + x
x = 440 - 333
x = 107
Hence the lowest score you can earn on the next test and still achieve an average of at least an 88 is 107
Learn more on mean here: brainly.com/question/20118982
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Answer:

Step-by-step explanation:
So we have the equation:
. and I'm assuming you meant to do mixed fractions and not actually multiplying. 2 * 2/3. So the first thing to do is follow PEMDAS which essentially says Parenthesis first, Exponents next, Multiplication or Division, and then Addition or Subtract. So let's start by evaluating the 2 2/3 and 1 1/2. The first step is to combine 2 into the 2/3 and the 1 into 1/2. This is done by multiplying the 2 by the denominator of 3, and adding it to the numerator so:
. And you do this for the 1/2 as well:
.
Now when adding fractions, you can only add them when they have the same denominator, so we have the get 3/2 and 8/3 to have the same denominator. You can list the multiplies of 2 and 3 to try to find a LCM, but in this case, I'll just multiply 2 and 3, since they're really small numbers, also because 6 is the LCM.
. And now do this to the 3/2 you get:
. Now the inside of the parenthesis is:
. So now we have the equation:
. Also notice how I got ride of the plus sign and made it negative? Think of it as having a 1 in front and simply distributing that to the -7, 1*(-7) becomes -7.
Now to multiply the fraction by a whole number you simply multiply the denominator and numerator, and you can think of the denominator of a whole number as a 1. So this gives you:
. Now we have the equation:
. And to subtract these two numbers I'll make the 3 1/2 a fraction by multiplying the 3 by the denominator and adding it to the 1 which should become 7/2. And after that multiply both sides by 3/3 to get 21/6 so they have the same denominator. This gives you the equation:
. Which can simplify by dividing both sides by 2 to get: 