Answers
18 + 7/9
14 + 7/8
First, rewrite each fraction in terms of a common denominator. 8 and 9 don't share a common multiple until 8 * 9 = 72, so we have
7/9 = (7/9) • (8/8) = (7 • 8)/(9 • 8) = 56/72
7/8 = (7/8) • (9/9) = (7 • 9)/(8 • 9) = 63/72
Next, write each whole number in terms of fractions with the same denominator. We have
18 • 72 = 1296 ==> 18 = 1296/72
14 • 72 = 1008 ==> 14 = 1008/72
Write each mixed number as an improper fraction:
18 + 7/9 = 1296/72 + 56/72 = (1296 + 56)/72 = 1352/72
14 + 7/8 = 1008/72 + 63/72 = (1008 + 63)/72 = 1071/72
If the backpack and book together weigh 18 + 7/9 pounds, and the backpack without the book weighs 14 + 7/8 pounds, then the book alone weighs the difference, call it b :
b = (18 + 7/9) - (14 + 7/8)
b = 1352/72 - 1071/72
b = (1352 - 1071)/72
b = 281/72
Convert this to a mixed number. 72 • 4 = 288, so 72 • 4 - 7 = 281:
b = (72 • 4 - 7)/72
b = (72 • 4)/72 - 7/72
b = 4 - 7/72
b = (3 + 1) - 7/72
b = 3 + (1 - 7/72)
b = 3 + 65/72
Related Questions
1. tentukan hasil dari 243⅔?
2. tentukan hasil dari
√32 +3√18-2√50?
3.tentukan hasil dari 1000 ⅔×64⅙?
4. resionalkan bentuk akar dari 3/4+√2?
5. hasil dari 2√3×√18:√2 adalah?
6 bentuk sederhana dari :12/3+√3 adalah ?
7. hasil dari √1000—2√40 adalah
8. hasil dari 2- ¹+3-¹ adalah?
9. bentuk dari 5√5, jika dirsionalkan penyebutnya adalah?
10. hasil dari 2√3×√18:√6 adalah ?
[tex]tolong bantu nya[/tex]
Answers
Penjelasan langkah demi langkah:
1)
[tex]= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49[/tex]
2) √32 +3√18-2√50
= √16*2 +3√9*2-2√25*2
= 4√2 + 3(3√2)-2(5√2)
= 4√2 + 9√2-10√2
= 13√2-10√2
= 3√2
3) 1000 ⅔×64⅙
[tex]= (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6} \\= 10^2 \times 2\\= 100 \times 2\\= 200[/tex]
4) 3/4+√2
[tex]3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }[/tex]
5) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
6) 12/3+√3
= 4+√3
7) √1000—2√40
= 10 -2 (√4*10)
= 10-2(2√10)
= 10 - 4√10
8) 2- ¹+3-¹
[tex]= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}[/tex]
9)
[tex]\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}[/tex]
Jika pernyataannya opsional, penyebutnya adalah 1
10) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
HELP ASAP!!!!!!!!!!!!!!
Answers
Answer: is it a function-yes
why: none of the y values are the same
Step-by-step explanation:
2. yes , the x values differ, domain (-3,-1,0,1,3), range (3,1,0,1,4)
Casey is using a recipe that requires 2/3 Cups of flour for every 2 cups of milk. If Casey uses 5 cups of milk how many cups of flour are needed
Answers
Answer:
15 cups of flour
Step-by-step explanation:
Each morning, Jessica's mom drives 3.85 miles to take Jessica to school, then 4.9 miles to work. How many miles does
Jessica's mom drive each morning? Explain how you solved the problem.
Answers
Complete the sentence. |-0.05| =
Answers
Answer:
|0.05|
Step-by-step explanation:
no absolute value can be negative
Answer:
0.05
Step-by-step explanation:
The lines outside the number mean absolute value. The absolute value of a number is how far it is from 0, so it's always positive. Basically, you just swap the sign of whatever number you are looking at. In this case, absolute value of -0.05 would simply be 0.05. Hope this helped!
If a recipe calls for 4 1/2 cups of flour for 48 cookies, how much flour would be needed for 24 coockies?
Answers
Answer:
2 1/4
Step-by-step explanation:
1. A = {2, 4, 6, 8, 10), B = {1,2,3,4,5,6,7,8,9,10}
Find A UB and An B.
(7
Answers
Answer:
AUB=2,4,6,8,10 & AnB=1,3,5,7,9
y = -(x + 5)2-1
Find vertex
Answers
Answer:
The vertex is (-5, -1)
Step-by-step explanation:
Standard vertex form is a(x - b)^2 + c where (b, c) is the vertex.
Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes, or 0.83 hour. Who runs faster.
Answers
Answer:
ava ran the fastest
Step-by-step explanation:
what is 1.9541 rounded to the nearest thousandth
Answers
Answer:
1.954
so 4 is in the thousandths
Step-by-step explanation:
1÷2 7/9 =x+4 2/5 x
Brainlest I promise!!!!!!!!
Answers
Answer:
x=1/15
Step-by-step explanation:
SOLVE:
1 (divide) 2 7/9 = x+ 4 2/5x
1 (divide) 25/9 = x + 4 2/5x
1 * 9/25 + 5 2/5x
9/25 = 5 2/5x
divide both sides by 5 2/5 or you can multiply by the reciprocal
5 2/5x = 27/5x
then once you do that you get x= 1/15
CHECK ANSWER:
Insert 1/15 instead of x
1 (divide) 2 7/9 = (1/15) + 4 2/5 (1/15)
9/25 = 9/25 Yes it is a true statement.
ANSWER:
x= 1/15
Jerome's sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. a) Complete the table below. (2 points) Original Ratio x1 x2 X3 X4 Drink mix (cups) 3 Water (cups) 8
please respond quickly and thanks to the one who responded
Answers
Answer:
6 ,16
Step-by-step explanation:
he doubled it
Solve the system of equations: y=x^2, y=x+6
A.(3,9)
B.(-3,9),(2,4)
C. (-2,4),(3,9)
D.(-2,-4),(3,9)
Answers
A squirrel needs to look for some nuts in the forest every day. It can find 24 nuts on a sunny
day and 10 nuts on a rainy day. If the squirrel found 98 nuts last week, write and solve a
system of equations in order to find:
How many sunny days were there in last week? |
sunny days
How many rainy days were there in last week?
rainy days
Answers
Answer:
24x+10y=98
2sunny days
5rainy days
Step-by-step explanation:
x=number of sunny days
y=number of rainy days
(2*24)+(10*5)=98
vualah :)
The sum of the angles of a triangle is 180 degrees. If one of the acute angles of a right triangle is 52 degrees, what is the measure of the other acute angle? A: Let x be the measure of the unknown acute angle. Write an equation relating this measure to the known quantities. Do not include units in your equation.
Answers
Answer:
An equation is [tex]x+52\°+90\°=180\°[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the measure of the unknown acute angle.
According to angle sum property of a triangle, sum of all the angles of a triangle is equal to 180°.
One of the acute angles of a right triangle is equal to 52°.
Also, the triangle is a right angled triangle, one of the angle must be equal to 90°.
[tex]x+52\°+90\°=180\°\\x+142\°=180\°\\x=38\°[/tex]
So, an equation is [tex]x+52\°+90\°=180\°[/tex]
New help math please I am stuck
Answers
Answer: Can u post a question?
Step-by-step explanation:
Evaluate the expression when x=-4.
x2 +7x-6
Answers
• -18
-8+ -34
-42
I think this is right lol
Evaluate the expression when x=5, y=-3, and z= -2.
y+z
Answers
Answer:
-5
Step-by-step explanation:
-3+-2=-5
this is the answer
70 + x + 55 + 30 = 180
Answers
Answer:
x=25
Step-by-step explanation:
First, we add all like terms. Then, we solve for x.
[tex]70+x + 55 + 30 = 180\\x+70 + 55 + 30 = 180\\x+155=180\\x=25[/tex]
We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.
Answer:
25. Hope this helps :)
Step-by-step explanation:
180-70=110
110-55=55
55-30=25
Your missing answer would be 25
X=25
Jason delivers newspapers on Saturdays and Sundays only. Each newspaper weighs about 1 pound 5 ounces. If he delivers 15 newspapers each day, how much do the two days' worth of newspapers weigh in pounds and ounces?
Answers
Answer:
39pounds 6oz
Step-by-step explanation:
15x2=30
1x30=30pounds
5x30=150oz
30p+150oz=39.37500
37500p=6oz
39pounds and 6 oz
The sum of three different numbers is 223. The largest number is 13 more than the smallest number. The sum of the largest number and the smallest
number is 7 more than twice the middle number. What is the largest of these numbers?
Answers
Answer:
82.
Step-by-step explanation:
Let the largest number of be 'a'.
Let the middle number be 'b'.
Let the smallest number be 'c'.
From the question given above,
The sum of the three numbers is 223. This can be written as:
a + b + c = 223 .... (1)
The largest number is 13 more than the smallest number. This can be written as:
a = c + 13 ..... (2)
The sum of the largest number and the smallest number is 7 more than twice the middle number. This can be written as:
a + c = 2b + 7..... (3)
Summary:
a + b + c = 223 .... (1)
a = c + 13 ..... (2)
a + c = 2b + 7..... (3)
Substitute the value of a in equation 2 into equation 3. This is illustrated below:
a + c = 2b + 7
a = c + 13
c + 13 + c = 2b + 7
2c + 13 = 2b + 7
Make b the subject
2c + 13 – 7 = 2b
2c + 6 = 2b
2(c + 3) = 2b
Divide both side by 2
b = 2(c + 3) / 2
b = c + 3 ..... (4)
Substitute the value of a in equation 2 and the value of b in equation 4 into equation 1. This is illustrated below:
a + b + c = 223
a = c + 13
b = c + 3
(c + 13) + (c + 3) + c = 223
c + 13 + c + 3 + c = 223
3c + 16 = 223
Collect like terms
3c = 223 – 16
3c = 207
Divide both side by 3
c = 207/3
c = 69
The smallest number (c) is 69
Substitute the value of c into equation 2 to obtain the largest number (a). This is illustrated below:
a = c + 13
c = 69
a = 69 + 13
a = 82
Therefore, the largest number (a) is 82
HELP IM GIVING BRAINLIEST
Answers
Answer:
AB, BC, AC
Step-by-step explanation:
Hopefully I helped!! :)
Help now plz
4/9-2/18
Answers
Answer:
The answer would be 6/18 or 3/9
Step-by-step explanation:
Answer:
if dividing...0.3
if multiplying...0
Step-by-step explanation:
melody won 8 tokens. Trish won 2 more than 5 times as many tokens as melody. What computation will give the number of tokens Trisha won?
Answers
Answer:
8^5 + 2 = Trisha's Tokens
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
8 x 5 +2
Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for Web searches. Assume that the changes to a Web site follow a Poisson process with a mean of 6 days. Let a random variable X denote the time (in days) until the next change. What is the probability that the time until the next change is greater than 9.5 days
Answers
Answer:
The probability will be "0.205".
Step-by-step explanation:
The probability that perhaps the time remains greater than 9.5 days before the next shift will indeed be:
⇒ [tex]P(X>9.5)[/tex]
⇒ [tex]1-P(X<9.5)[/tex]
⇒ [tex]1-(1-exp(\frac{-9.5}{6} ))[/tex]
⇒ [tex]0.205[/tex]
Can somebody please help me with this math problem
Answers
Answer:
According to the question 25% of the students wore jackets.
Thus 25% of 12 wore jackets
The number of students can be found easily by multipling 12 with 25//100
12*25/100
12*1/4
12/4
thus, 3 students
Therefore, option 3 is correct
For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds. Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand. I need the coordinates for the graph please.
Answers
Answer:
First, let's write our equation in a general way.
We know that:
1 cubic foot weighs 80 pounds.
The container weighs 40 pounds.
Then, if i put n cubic feet of sand in the container, the total mass will be one time the mass of the container plus n times the mass of one cubic foot of sand.
We can write this as:
w(n) = 40lb + n*80lb
This is a linear equation, where the y-axis will represent the mass in pounds and the x-axis will be the number of cubic feet of sand in the container in units, a graph of this is shown below.
You can see that it is really steep, this is because for really small increments in n, the weight increases a lot.
Answer
ok, Just plot the points at (0,40) and (2,200) :))
Jasmine drives every morning to her office that is 12 miles from her home.
c
Suppose Jasmine drives from home to the office in 20 minutes. Use this information and part (b) to write an equation. QUICK RSM HELL EMERGENCY DUE TOMARO
Answers
Answer:
d = 36tStep-by-step explanation:
We need to calculate the speed of Jasmine first as shown:
Speed = Distance/Time
Given:
Distance = 12miles
Time = 20mins
Time = 20/60 hr
Time = 1/3 hr
Speed = 12/(1/3)
Speed = 12 * 3/1
Speed = 38mi/hr
From the formula:
S = d/t
To get the equation needed, substitute s = 36 into the formula:
36 = d/t
d = 36t
Hence the required equation is d = 36t where d is the distance in miles and time in hour
Answer:
36
Step-by-step explanation:
what is this total fruit = 8.27+6.65
Answers
Answer:
14.92
Step-by-step explanation:
8.27+6.65=14.92
Brainliest?
Answer:
8.27+6.65=14.92
The lowest point in New Orleans is 8 feet below sea
level. You can represent that numerically using
The highest point in Chicago is 735 feet above sea
level. You can represent that numerically using
Answers
Answer:
[tex]-8,+735[/tex]
Step-by-step explanation:
The lowest point in New Orleans is 8 feet below sea level.
This can be represented numerically using [tex]-8[/tex]
(negative sign denotes below sea level)
The highest point in Chicago is 735 feet above sea level.
This can be represented numerically using [tex]+735[/tex]
(positive sign denotes above sea level)
Answer:
This is correct but if some people are confused it’s a negative integer and a positive integer
Step-by-step explanation:
