The best way to do this is to convert the mixed numbers into improper fractions. Improper fractions are when the numerator is greater than the denominator. An example of an improper fraction would be 5/4. Since 4/4 is one whole that means 5/4 as a mixed number would be 1 1/4. I'll use the expression 3 1/4 + 5 2/9 as an example.
3 1/4 is 3 wholes and 1/4 left over. We know that 4/4 is 1 whole so to find 3 holes we multiply the 1 by 3. 4 x 3 =12 so there are 12/4 in 3 holes. We then add the leftover 1/4 to get 13/4 as our first number.
For the second number, we have 5 2/9. This one is a bit harder. We know that 9/9 is in one whole, but how do we find how many are in 5 wholes? We can use multiplication. 1x 5=5. 5 x 9 =45. That means we have 45/9 in 5 holes. Add the leftover 2/9 to have 47/9 as our 2nd number.
Now that we have these two improper fractions, what do we do with them? The two numbers we are working with are 13/4 and 47/9. We need to find the common denominator. The common denominator is when both fractions have the same bottom number. If two fractions have different denominators we cannot add them.
To make the denominators the same, let's find a common multiple. A common multiple is a number that is a product of all chosen numbers. This is kind of confusing but another way to think of a common multiple is a number that is divisible by all chosen numbers. Take the two denominators and multiply them. 9x4=36. 36 is a common multiple of both 9 and 4 because both of them can go into 36 without being a decimal or a fraction.
To convert the fractions we multiply again. Whatever you do to one side you must always do to the other. In 13/4 we multiplied 4x9 to get 36. So now we multiply the numerator 13x9 to get 117. That means we have 117/36. We multiplied 9x4 to also get 36. So our numerator for our second number is 47x4=188 or 188/36.
Now we have 117/36 and 188/36. We add them together like normal and get 305/36. In some cases you'd need to simplify it, but for the example equation I used this is already the fraction's lowest form. I hope this helped! Comment if you need another example or have any questions! :)
Help with number 2
No links
No jokes to just get points
Answer:
A. Circle -2.5x and 1.7x list x B. List t and s C. Circle 15k and 2/5k list k and m
Step-by-step explanation:
You do it??
A ladder that is 17 feet in length is resting on a branch of a tree and the base of the ladder is 8 feet from the tree on the level ground how high up is the branch on which the latter is resting
Answer:
9 feet
Step-by-step explanation:
(-1,-3); slope 5
PLEASE HELP
what is the example of a product that will have the same number of zeros in the factors and the products? what is one example of a product that will not have the same numbers of zeros in the factors as the product
Answer:
same: 30×40 = 1200different: 20×50 = 1000Step-by-step explanation:
Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product
Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product
__
Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product
Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point
_____
For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.
Example: neither 2 nor 5 has a factor of 10, but their product does.
__
For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)
_____
Additional comment
Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.
A lock consist of 4 dials, where each dial has 6 letters.what is the probability of guessing the right combination in one try?
Answer:
Step-by-step explanation:
The total number of choices is 6 * 6 * 6 * 6 = 1296
You have one chance to get it right
That's 1/1296 = 0.00077
Answer:
1/1296
Step-by-step explanation:
The probabilty of getting one of the dials correct is 1/6 because there are 6 letters on each dial. So if there are 4 dials, then the chance is multiplied by itself 4 times (1/6 * 1/6 *1/6 * 1/6). 1/6 * 1/6 *1/6 * 1/6 is equal to 1/1296.
1 2/5m-3/5(2/3m+1)pls help
Answer: (10m-3)/5
Step-by-step explanation:
Convert 1 2/5 into an improper fraction
Simplify 5+25+2 to 7
Simplify 2/3m to 2m/3
Simplify 7/5m to 7m/5
Expand and remove the parenthesis
Collect the like terms
Simplify
A textbook store sold a combined total of 272 biology and math textbooks in a week. The number of math textbooks sold was 50 less than the number of biology textbooks sold. How many textbooks of each type were sold? Number of biology textbooks sold: number of math textbooks sold:
Answer:
b = 161, m = 111
Step-by-step explanation:
b + m = 272
m + 50 = b
Substitute
m + 50 + m = 272
2m = 222
m = 111
Plug in for m
b + 111 = 272
b = 161
Find the least common denominator for these fractions. Enter your answer in
the space provided.
Answer:
5/12
Step-by-step explanation:
1/4 and 1/6 are fractions.
As we directly can't add fractions whenever denominators are different, so we will have to find out the Least common multiple of 4 and 6.
The LCM Of 4&6 will be 12, so we will write 12 instead of 4&6.
Now, 4*3=12, that is why we will have to multiply the numerator and denominator with 3.
1*3/4*3 = 3/12
Same thing applies to 1/6. In order to get 12 in the denominator we need to multiply 2 with numerator and denominator both.
1*2/6*2= 2/12
However, we have two new fractions with same denominator now, that is 3/12 and 2/12
We can directly add the numerators now, as we have the same denominator. So 3+2/12= 5/12 would be my final answer. (addition of like fractions)
5/12
Need help with math
I have no idea math should have been working hade books bye sorry
Choose the symbol that correctly compares the fractions below.
Answer: A. ( > )
Step-by-step explanation: When you learn fractions, the fraction with the smaller numerator ( the top number) is the greater fraction because it contains more parts of the whole.
What is the common ratio of the sequence?
-2, 6, -18, 54,...
A.-3
B.-2
C.3
D.8
HELP PLEASE!!! 50 POINTS INCORRECT ANSWERS WILL BE REPORTED.
I need help with this and i dont know how to do it
Answer:
see attached
Step-by-step explanation:
In general, you plot the solution to an inequality by placing a dot at the bound, then extending a line in the direction indicated by the inequality.
If the inequality symbol is < or >, the dot will be an open circle.
If the inequality symbol is ≤ or ≥, the dot will be a solid dot. That is the kind of dot needed here.
The boundary (dot) location for x ≥ -8 is at -8 on the number line. The inequality indicates that values of x greater than that are in the solution set, so the line will be shaded to the right of the dot.
The boundary (dot) location for x ≤ -2 is at -2 on the number line. The inequality indicates that values of x less than that are in the solution set, so the line will be shaded to the left of this dot.
Since the values of x must satisfy both inequalities (the conjunction is "and"), the solution set is where the lines overlap—between -8 and -2 on the number line.
_____
Additional comment
I find it useful to write inequalities with the "arrow" pointing to the left. Here, the inequalities would be written ...
-8 ≤ x and x ≤ -2
Note that x is in the middle when the far left number is less than the far right number. (-8 < -2). That means, the inequality can be written as the compound ...
-8 ≤ x ≤ -2
When the inequalities are written in this way, with arrow(s) pointing left, the location of the variable relative to the constant is the location of the shaded line relative to the dot representing the constant. Here, the appearance of ...
-8 ≤ x ≤ -2
effectively shows you that the number line is shaded between solid dots at -8 and -2.
WILL GIVE BRAINLIEST
Answer:
its the 2nd and the 6th one
Step-by-step explanation:
Help please and thanks
Answer:
Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]
Step-by-step explanation:
Consider the figure
We have
[tex]\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}[/tex]
[tex]\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}[/tex]
[tex]6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\[/tex]
Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]
hello please help me
Answer:
I think it is 249 for the first one and the second one i dont know sorry
Step-by-step explanation:
Choose the fraction that goes in the blank. 5/12< _____<3/4
Answer:
7/12 or 8/12 are both good options
Step-by-step explanation:
nvr mind, its 7/12 only
There are two spheres; the radius of the big sphere is two times the radius of the small sphere. How many times larger is the volume of the big sphere compared to the small one?
The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.
The formula of the volume of a sphere is given below
⇒ Formula:
V = 4/3(πr³)................. Equation 1⇒ Where:
V = Volume of the spherer = radius of the sphereπ = constant called pieFrom the question, There are two spheres.
If the radius of the bigger sphere is two times the radius of the smaller sphere.
R = 2r⇒ Where
R = bigger radiusr = smaller radiusFor the bigger sphere
⇒ Substitute these values into equation 1
V = 4/3(π(2r)³)V = 4/3(π8r³)............. Equation 2For the smaller sphere,
V' = 4/3(πr³)............... Equation 3⇒ Comparing equation 2 and equation 3
V = 8V'Hence, The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.
Learn more about volume here: https://brainly.com/question/1972490
LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.
=====================================================
Work Shown:
Let x and y be the two numbers.
We're given x = 162 and the variable y is unknown.
We're also given LCM = 1134 and HCF = 18
So,
LCM = (x*y)/HCF
1134 = 162*y/18
1134 = (162/18)y
1134 = 9y
9y = 1134
y = 1134/9
y = 126
The other number is 126
---------------------
Notice that
162 = 18*9126 = 18*7showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.
Now let,
A = multiples of 162B = multiples of 126So,
A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.
Mark which expressions represent the distance between 46 and-15
(3v^5-34v^4+79v^3+5v^2+21v+19)\(v-8)
Answer:
3 big guys
Step-by-step explanation:
Answer:
Step-by-step explanation:
we find by synthetic division.
v-8=0
v=8
8 | 3 -34 79 5 21 19
| - 24 -80 -8 -24 -24
|----------------------------------
3 -10 -1 -3 -3 |-5
Quotient:-3v^4-10v³-v²-3v-3
Remainder:- -5
The angle of depression from a window 10 m above the ground to a coin on the ground is 15°. Find the distance of the coin from the base of the building. Show your reasoning for each step.
Please answer these!!!! :D
The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width
Answer:
Length is 90yards and width is 60yards
Step-by-step explanation:
Perimeter= 2( length+width)
let the width be x
then the length will be 30 + x
300 = 2(30+x+x)
150 = 30 + 2x
120= 2x
x = 120/2
x = 60 yards
length= 30+x
= 30 + 60
= 90yards
When a number is subtracted from 24 and the difference is divided by that number, the result is 3. What is the value of the number?
a) 2
b) 4
c) 6
d) 12
e) 24
3 poil The ratio of the number of Taylor's CDs to the number of Dave's CDs is 7 to 9. Taylor has 84 CDs. Together how many CD's do they have?
Answer:
192
Step-by-step explanation:
The 7 part of the ratio relates to Taylor's 84 CDs
Divide the amount by 7 to find the value of one part of the ratio.
84 ÷ 7 = 12 ← value of 1 part of the ratio, then
9 parts = 9 × 12 = 108 ← number of CDs Dave has
Total CDs = 84 + 108 = 192
When f(x)=4, what is the value of x?
This mapping shows a functional relationship.
Domain
Range
оо
O 2
2
4
3
-3
0
4
-1
→-1
→ 3
Check the picture below.
The value of f(x) at x=4 is 2.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
We have to find the value of function for x=4.
This means that from the figure we have to find the value of y when x= 4.
Now, looking into the figure we have
f(4)= 2
f(0)= -2
f(-1)= -1
f(3)= 4
So, the required value is 2.
Learn more about Function here:
https://brainly.com/question/12431044
#SPJ7
Question 9 of 10 What is the length of DE?
Answer:
I think it's B.
Step-by-step explanation:
2,548 rounded to the nearest hundred
Answer:
the answer is 2,500
Step-by-step explanation:
any number higher than 5 you round up but any number lower than 5 you round down.
4 is lower than 5 so you round it down and the 5 stays the same, and replace it with 0's.
A colony of bacteria is growing at a rate of 50% per hour. If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria will there be after 6 hours
Answer:
1,139.0625
Step-by-step explanation:)
100 BACTERIA to start
1Hour = 50% of the start (which is 100 so half would be 50) this suggest 100+50= 150
2hour = 50% of 150 which is 75 and this suggest
150+75= 225
3 hour = 50% of 225 which is 112.5 this suggest
225+112.5=337.5
4hours = 50% of 337.5 which is 168.75 this suggest
337.5 + 168.75=506.25
5hours = 50% of 506.25 which is 253.125 this suggest
506.25+253.125=759.375
6hours = 50% of 759.375 which is 379.6875 this suggest
759.375+379.6875=1,139.0625
Answer: 1139 bacteria