Answer:40
Step-by-step explanation:
[tex]5\frac{5}{12} -2\frac{7}{8}[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{13}{24}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{5 \frac{5}{12} - 2 \frac{7}{8} }[/tex]
Convert the mixed number into improper fraction
[tex] \longrightarrow \sf{ \frac{5 \times 12 + 5}{12} - \frac{8 \times 2 + 7}{8}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{60 + 5}{12} - \frac{16 + 7}{8} }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{65}{12} - \frac{23}{8}}} [/tex]
Take the L.C.M of 12 and 8
To find out the L.C.M , first of all find the prime factors of each numbers.
12 = 2 × 2 × 3
8 = 2 × 2 × 2
Take out the common prime factors : 2 and 2
Also, take out the remaining prime factors: 3 and 2
Multiply those all prime factors and obtain L.C.M
= 2 × 2 × 3 × 2 = 24
L.C.M. of 12 and 8 = 24
[tex] \longrightarrow{ \sf{ \frac{65 \times 2 - 23 \times 3}{24} }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{130 - 69}{24}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{61}{24}}} [/tex]
Convert the improper fraction into mixed number
[tex] \longrightarrow{ \sf{2 \frac{13}{24}}} [/tex]
Hope I helped!
Best regards! :D
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
61/24
Decimal Form:
2.5416
Mixed Number Form:
2 13/24
Step-by-step explanation:
Think of the 3 different ways you can violate netqieutte in social media, emails, or texting. In other words, give 3 things you should never do online. List the 3 violations using complete sentences. Give a basic example of each violation. What can you do improve your netiqutte? math teacher asked
Answer:
Foul language, Cyber bullying, send innapropriate photos.
The way I cam improve my ettiquite by practicing these things.,
Step-by-step explanation:
Evaluate the expression x = 4.
3x + 2
Answer:
14
Step-by-step explanation:
3(4)+2
12+2
14
1. Express 53 pm, the size of a hydrogen atom, in scientific notation
Answer:
[tex]5.3\times 10^{-11}\ m[/tex]
Step-by-step explanation:
In this problem, we need to express 53 pm in which is the size of a hydrogen atom, in scientific notation.
Any number can be expressed in scientific notation as follows :
[tex]N=a\times 10^b[/tex]
a is any real no and b is any integer
We know that, 1 pm = [tex]10^{-12}\ m[/tex]
It means, [tex]53\ pm=53\times 10^{-12}\ m[/tex]
or
[tex]53\times 10^{-12}\ m=\dfrac{53}{10}\times 10^{-12}\times 10\\\\=5.3\times 10^{-12+1}\\\\=5.3\times 10^{-11}\ m[/tex]
Therefore, the above is the scientific notation for the size of a hydrogen atom.
what is the midpoints of a segment with the given endpoints. (3,4) and (-2,9)
Answer:
The answer is
[tex]( \frac{1}{2} \: , \: \frac{13}{2} )[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,4) and (-2,9)
The midpoint is
[tex]M = ( \frac{3 - 2}{2} , \: \frac{4 + 9}{2} )[/tex]We have the final answer as
[tex]( \frac{1}{2} \: , \: \frac{13}{2} )[/tex]Hope this helps you
In Texas the closest temperature ever recorded is -23 F. that’s a lot chillier than in Florida, where the closest recorded temperature is -2 F. How many degrees is Florida’s closest recorded temperature than Texas ‘s?
Answer:-21 degrees
Step-by-step explanation:
-23-2 =-21 degrees
Scientific notation of 10.34
i need to find the area .
Answer:
105.12 ft^2
Step-by-step explanation:
Area of rectangle = 8 × 10 = 80 ft^2
Area of semicircle = 1/2π × 4^2
4 is the radius of the semicircle.
Since we use 3.14 to approximate π...
Area of semicircle = 1/2× 3.14 × 4^2 = 25.12
∴Total area = 25.12 + 80 = 105.12 ft^2
Answer: 105.12ft²
Step-by-step explanation: first we need to find the area of the rectangle with the formula: length × width so, 8ft × 10ft = 80 ft².
Now we can find the area of the semicircle with the formula: πr²÷ 2 so, (3.14 × 4²) ÷ 2 = 25.12ft². Now we need to calculate the area of the whole shape and we can do this by adding together our rectangle and semicircle so, 80ft + 25.12ft = 105.12ft².
a chocolate chip cookie recipe uses 2 cups of sugar to make 24 cookies. how much sugar would you need to make 100 cookies? (round to nearest hundredth)
Answer:
8.33
Step-by-step explanation:
Which expression has a positive value?
(negative 5) (negative 9)
2 minus 4
12 divided by (negative 4)
Negative 3 + (negative 7)
Answer:
the correct answer is (-5)(-9) or A for short
Step-by-step explanation:
Guys I need your help
What are each of the steps on solving 5x-2+ 3x=14. There are four steps and the choices are combine like terms, addition, subtraction, division, and distribution.
Answer:
5x - 2 = 3x = 14
8x -2 = 14
8x = 14 + 2
8x = 16
x = 2
Step-by-step explanation:
Answer:
add 5x and 3x then add -2 to 14. it should be 8x=12 then divide 8x and 12 by 8 and its 12/8 or simplify to 6/4 or 1 1/2 so combine like terms then addition then division i think :)
Step-by-step explanation:
Find the midpoint of a segment with the given endpoints.
W(-1, 1), 0(5, -5) =
Answer:
(2,-2)
Step-by-step explanation:
(5+(-1))/2=4/2=2
(-5+1)/=-4/2=-2
-8(4+4n)=8(n+6) steps so it can help me
Answer:
-32n-32=8n+48
-8 -8
-40n-32=48
+32 +32
-40=80
-40/-40=80/-40
n=-2
is {(3,4),(3,5),(4,4), (4,5)} a function
Answer:
No, it's not a function.
Step-by-step explanation:
This is not a function because the x-inputs repeat. It would be a function if each x-input was a different number, but the inputs 3 and 4 repeat twice. Therefore, this is not a function.
Answer:
This is NOT a function because you CANNOT have same x values twice.
Step-by-step explanation:
Hope this helps! Have a good day :)
help me pls i need this
Answer:
96 cm²
Step-by-step explanation:
The lateral surface area (A) is the sum of the areas of the 4 slant faces.
The faces are triangular with area [tex]\frac{1}{2}[/tex] bh , thus
A = 4 × [tex]\frac{1}{2}[/tex] × 8 × 6 = 2 × 48 = 96 cm²
-g -24= -17
What is the answer ?
Answer:
g = -7
I hope this helps!
is 2.64 greater or less than 1.9?
2.64 is greater than 1.9
A circle's radius is 8 centimeters.
What is the circle's circumference (use 3.14 for pi and round to nearest
tenth)?
Answer:
The answer would be 50.2
Step-by-step explanation:
In the previous problem, Ken predicted a drop in
temperature. Explain why a drop in temperature would
lead to adding a negative integer.
Answer:
Because a drop in temperature means decrease in temperature therefore, we take an integer with negative sign and added to previous temperature.
Step-by-step explanation:
Drop in temperature means decrease in the temperature .When the temperature decreases then we take decrease value of temperature in negative integer. Because decrease means the temperature fall down .Hence , the decrease in temperature measure with negative sign .
For example, if we take temperature T= 70°C.
If the temperature decreases by 5°c then the temperature
Decrease in temperature=-5°C
Hence, the temperature T= 70+(-5)=65°C.
Therefore , from example we can say that when temperature decreases by some value in integer . Then ,we get final temperature obtained by adding drop in temperature ( negative integer ) in previous value of the temperature.
Answer: Sample reasopnse
A drop in temperature means the temperature will decrease. That decrease is represented by a negative integer, which should be added to the previous temperature.
Step-by-step explanation:
Determine whether this graph is a function
Step-by-step explanation:
A function is such that every element in the domain has only 1 image in the range. The domain here are the x-values while the range is the y-values.
However a vertical line can cross the graph more than once. Hence the graph is not a function.
Priya drew a triangle with the side lengths 3, 4, 5. She wants to draw a triangle that is a SMALLER scaled copy. Which of the following are scale factors she could use to make the triangle smaller?
Answer:
She could make the triangle smaller by making the same triangle but smaller and add the same sides to the small triangle.
scale factors she could use to make the triangle smaller is [tex]\frac{1}{2}[/tex]
Given :
Priya drew a triangle with the side lengths 3, 4, 5
Given options are :
1.) 1/2
2.) 1
3.) 2
4.) 6
Explanation :
The ratio of the measurement of the corresponding sides of a triangle is a scale factor .
When we multiply the side length by a scale factor >1 that gives a bigger scaled copy
When we multiply the side length by a scale factor <1 that gives a smaller scaled copy
From the given options , scale factor 1/2 is less than 1
So 1/2 is the scale factor that could use to make the triangle smaller
Learn more :
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Type your answer into the box.
Sarah's gross income last month was £1260.
She pays 20% tax on her gross income.
How much tax did Sarah pay last month?
ایا
Answer: 252
Step-by-step explanation:
The amount of tax paid by Sarah last month is £252.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Sarah's gross income last month was £1260. She pays 20% tax on her gross income.
The tax amount is calculated by taking 20% of the gross income £1260.
Tax amount = 20% of £1260.
Tax amount = £1260 x 20 /100
Tax amount = £1260 / 5
Tax amount =£252.
Therefore, the amount of tax paid by Sarah last month is £252.
To know more about percentages follow
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Determine which is the more precise measurement in each pair. 4lb;4.3lb
Answer:
4.3lb
Step-by-step explanation:
4.3lb is more precise out of the answer choices of 4lb and 4.3lb because 4.3lb is an exact weight whereas 4lb could be rounded.
ABC is a triangle in which B = 90°. In each of
these, i draw and label a sketch, ii then calculate
b
the length of the third side of the triangle.
AB = 6 m, BC = 8 m
Step-by-step explanation:
You have to use pythagoras' theorem for this.
So AC is the length you want to find.
Pythagoras' theorem is a^2+b^2=c^2
In your triangle, AB=a, BC=b and AC=c
6^2+8^2=Ac^2
36+64= AC^2
100=AC^2
Square root both sides
10=AC
Therefore AC=10m
The sum of one-third a number and twenty-five is as much as twice the number
Answer:
75/7 = 105/7 (ten whole number, five over seven)
Step-by-step explanation:
1/3n + 25 = 2n
n is the number
n/3 + 25/1 = 2n
n + 75/3 = 2n
cross multiply
n + 75 = 6n
75 = 7n
n = 75/7
n = ten whole number, five over seven (105/7)
Write 0.36 as a fraction in simplest form.
Answer:9/25
Step-by-step explanation:
Because .36=36/100. Then, divide by four for numerator and denominator
Answer:
9/25
Step-by-step explanation:
0.36 = 9
25
as a fraction
To convert the decimal 0.36 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.36 = 0.36
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
0.36
1
= (0.36 × 100)
(1 × 100)
= 36
100
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(36,100) = 4. So,
(36÷4)/(100÷4)
= 9
25
when reduced to the simplest form.
Write a numerical expression for each verbal expression
1.The sum of four and nine times three
2.eighteen divided by the sum of two and seven
3. Ten divided by the product of four and five
4. The Difference of eleven and four times five
5. The sum of one and two divided by twenty
6. The sum of two and four and six times eight
7. The sum of twelve and sixteen divided by the sum of three and four
8. The difference of twenty-two and six divided by the sum of five and three
1. The sum of four and nine times three
(4 + 9)×32. eighteen divided by the sum of two and seven
[tex]\bold{\dfrac{18}{2+7}}[/tex]
or: 18÷(2+7), or: 18/(2+7)
3. Ten divided by the product of four and five
[tex]\bold{\dfrac{10}{4\times5}}[/tex]
or: 10÷(4×5), or: 10/(4×5)
4. The Difference of eleven and four times five
(11 - 4)×55. The sum of one and two divided by twenty
[tex]\bold{\dfrac{1+2}{20}}[/tex]
or: (1+2)÷20, or: (1+2)/20
6. The sum of two and four and six times eight
(2 + 4 + 6)×87. The sum of twelve and sixteen divided by the sum of three and four
[tex]\bold{\dfrac{12+16}{3+4}}[/tex]
or: (12+16)÷(3+4), or: (12+16)/(3+4)
8. The difference of twenty-two and six divided by the sum of five and three
[tex]\bold{\dfrac{22-6}{5+3}}[/tex]
or: (22 - 6)÷(5+3), or: (22 - 6)/(5+3)
Answer:In the following activity, write an equation to represent each verbal statement, and use it to find the value of each unknown number. Then, put the solution values in order from smallest to largest. [Note: The smallest solution is "first", and the largest solution is "fifth".]
1. fourth
The sum of a number and two is equal to the quotient of six and negative four.
2. first
The sum of a number and three is divided by five. The result is negative two.
3. third
The difference between a number and five is multiplied by negative two. The resulting product equals fourteen.
4. second
Half of a number is added to four. This sum is equivalent to negative one.
5. fifth
The difference between four times a number and five has a result of negative eight.
Step-by-step explanation:
There is 240 mg of sodium for 36 crackers. How much sodium for 15 crackers.
100. You would divide the original amount of crackers by 240, then multiply by the new amount of crackers.
Simplify (3x – 5) + (5x + 1)
Answer:
8x-4
Step-by-step explanation:
(3x-5)+(5x+1)
=3x-5+5x+1
=8x-4
what is 2/3/10 and 4/5/10? im so confused!
Answer:
the ten is the year and the middle number is the day and the 1st number is the month
Step-by-step explanation:I'm in the 9th grade so we have to do this many times TwT
