Hey there!
7/8÷6/8=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
7/8×8/6=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
7×8/8×6=56/48
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 56 and 48 using
GCF(56,48) = 8
56÷8/48÷8=76
The fraction
7/6
is the same as
7÷6
Convert to a mixed number using
long division for 7 ÷ 6 = 1R1, so
7/6= [tex]1 \frac{1}{6} [/tex]
Therefore:
7/8÷6/8= 1 1/6
Let's do
[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\div \dfrac{6}{8}[/tex]
[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\times \dfrac{8}{6}[/tex]
[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\times \dfrac{4}{3}[/tex]
Cancel 4 and 8[tex]\\ \bf\hookrightarrow \dfrac{7}{2}\times \dfrac{1}{3}[/tex]
[tex]\\ \bf\hookrightarrow \dfrac{7}{6}[/tex]
4^-3x=4^x-1 solve please
Answer:
x = 1 over 4 ( which is also 0.25 and x=2^-2)
Step-by-step explanation:
4^-3x = 4^x-1
-3x = x - 1
-3x - x = -1
-4x = -1
divide both sides
x = 1 over 4
In Springville, the probability that a football team goes to the city playoffs is
0.20. The probability that the team goes to the state playoffs, given that the
team goes to the city playoffs, is 0.35.
What is the probability that a randomly selected team from Springville goes to
the city and state playoffs?
O A. 0.15
B. 0.55
O C 0.07
D. 0.70
Using conditional probability, it is found that the probability that a randomly selected team from Springville goes to the city and state playoffs is given by:
C 0.07
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: City playoffs.Event B: State playoffs.The given probabilities are P(A) = 0.2, P(B|A) = 0.35, hence the probability that a randomly selected team from Springville goes to the city and state playoffs is given by:
[tex]P(A \cap B) = P(A)P(B|A) = 0.2(0.35) = 0.07[/tex]
Hence option C is correct.
More can be learned about conditional probability at https://brainly.com/question/14398287
Answer:0.09
Step-by-step explanation:
What is the area of the rectangle in square units? Explain how you found your answer.
Answer:
...........
Step-by-step explanation:
The measures of two complementary angles are 4x+6 and 5x+3. Find x.
4x + 6 + 5x + 3 = 90
9x +9 = 90
( Subtract 9 from 9 and 90 )
9x = 81
( Divide 9x and 81 by 9 )
x = 9
Hope this helps.
Divide the product of 5/7 and -13/25 by the sum of 4/15 and -7/50.
Step-by-step explanation:
From the question above one can put down an expression as;
(5/7 × -13/25) ÷ (4/15 + (-7/50))
-13/35 ÷ 19/150
-13/35 × 150/19
-390/133
Given m|n, find the value of x.
+
(6x+5)°
(7x-4)
Answer: 9
Step-by-step explanation:
6x+5 = 7x-4 [alternate exterior angles theorem]5 = x - 4 [subtract 6x from both sides]9 = x [add 4 to both sides]The graph below represents a rock climbers height as she acends a hill. Part A- The above graph is (circle one) linear/ nonlinear. Part B- Is the above graph a function? Explain.
Answer:
Part A: its linear
Part B: it is a function
Step-by-step explanation:
Pls help need asap!!
Answer:
12 1/4 or 49/4
Step-by-step explanation:
3 1/2= 7/2 so 7/2×7/2=49/4= 12 1/4
¿cuanto pesa cada uno de nuestros 3 personajes?
niña+niño niño+perro niña+perro
51kg 46kg 41kg
Resolviendo el sistema de ecuaciones veremos que:
niña = 23kgniño = 28kgperro = 18kg.¿Como resolver el sistema de ecuaciones?
Aqui tenemos el sistema de ecuaciones:
Niña + niño = 51kg
Niño + perro = 46 kg
Niña + perro = 41kg
Para resolver esto, lo primero que debemos hacer es aislar una variable en una de las ecuaciones, por ejemplo, podriamos aislar "perro" en la tercera:
perro = 41kg - niña
Ahora reemplazamos eso en la segunda para obtener:
niño + (41kg - niña) = 46kg
niño - niña = 46kg - 41kg = 5kg
niño = niña + 5kg
Ahora logramos obtener la variable "niño" en terminos de la variable "niña". Podemos reemplazar esto en la primera ecuacion del sistema.
niña + niño = 51kg
niña + (niña + 5kg) = 51kg
2*niña = 51kg - 5kg = 46kg
niña = 46kg/2 = 23kg.
Ahora que sabemos esto, usamos las otras ecuaciones para encontrar el peso del niño y el perro:
niño = niña + 5kg = 23kg + 5kg = 28kg
perro = 41kg - niña = 41kg - 23kg = 18kg.
Sí quieres aprender más sobre sistemas de ecuaciones, puedes leer:
https://brainly.com/question/17174746
3 and <4 are supplementary. If the m<3 = 13° what is the measure of <4?
Answer:
Well supplementary means that both the angles add up to 180
We know that the measure of angle 3 is 13 degrees.
The measure of angle 4 is unknown
And the total of angles 3 and 4 are 180.
So you can make an equation
13 + x = 180
Solve for x
x= 167
Measure of angle 4 is 167
m< 4 = 167 degrees
Nikke has a set of 5 cards numbered 1 through 5. She shuffles the cards at random she repeats the process several times and records the results in the table below based on her results what is the experimental probability of choosing a 1?
Answer:
20%
Step-by-step explanation:
Zach throws a ball upward so that it follows the equation
y= 16x^2 + 64 +5 where y is the height of the ball and x is time.
How many seconds will it take for the ball to hit the ground?
Hey there!
=> y= 16x^2 + 64 +5
Let's obtain a formula for x
=> y= 16x^2 + 64 +5
=> y=16x^2+69
=> y - 69 = 16x^2
=> y - 69/16 = x^2
=> y - 4.3125 = x^2
=> x = √y - 4.3125
=> x = y - 2.08
Question error ಠ︵ಠ
select the digit in the thousands place for 689,234
Answer:
The answer is 9
Step-by-step explanation:
600,000, 50,000, 9,000, 200, 30, 4
Answer:
The remaining number in thousands units is 9
---
Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
1.5 > 0.75x + 1
what is x
Answer:
2/3 > x
Step-by-step explanation:
0.5 > 0.75x
2/3 > x
The initial number of carbon-14 atoms in the organism at death is
.
After 11,460 years, there will be
carbon-14 atoms in the organism.
After
years, there will be 24.298 carbon-14 atoms in the organism.
Answer:
5,730 years.
Step-11by-step explanation:
Answer:
The death is 500, there will be 125 carbon-14 atoms, and after 25,000 years.
Step-by-step explanation: I just did it in math edg. HAVE A GREAT DAY!!
Topic 7
Performance Task
Grade
Can Tabs Collected
6th
19 13
pounds
16
171
pounds
7th
8
8th
1
12- pounds
2
32 pounds
189 pounds
23 pounds
14 pounds
A student solved the equation sin2x/cos x = 2, 0 ≤ x ≤ pi, and got pi/2. What was the student's error?
Answer:
Step-by-step explanation:
Albeit cosine is undefined at , this discontinuity is evitable by canceling terms. The expression is equivalent to , which is continuous for all . According to this result, the student did not make a mistake. Answer was correct.
Answer:
See below
Step-by-step explanation:
Since [tex]cos(\frac{\pi}{2})=0[/tex], the denominator will be 0, and the result would be indeterminate.
Do not read on if you do not understand Calculus
However, notice that [tex]\lim_{x \to \frac{\pi}{2}} \frac{sin(2x)}{cos(x)}=2[/tex] by L'Hopital's Rule:
[tex]\lim_{x \to \frac{\pi}{2}} \frac{sin(2x)}{cos(x)}\\\\\frac{2cos(2x)}{-sin(x)}\\ \\\frac{2cos(2(\frac{\pi}{2}))}{-sin(\frac{\pi}{2} )}\\\\\frac{2cos(\pi)}{-1}\\ \\\frac{-2}{-1}\\ \\2[/tex]
Express 38.43 as a percent
Order the fractions from least to greatest. 2 9 , 4 5 , 5 18 , 9 16 A) 2 9 , 5 18 , 9 16 , 4 5 B) 5 18 , 2 9 , 4 5 , 9 16 C) 2 9 , 4 5 , 5 18 , 9 16 D) 9 16 , 5 18 , 4 5 , 2 9
Answer:
c
Step-by-step explanation:
the first number of every fraction represents the whole number of the group.
Answer:
C hope it helps
Step-by-step explanation:
LA
KIUNUL
1
1
1
2.49
2.49
8.99
1
ICE TEA
ICE TEA
CHICKEN, SAND
Rib Sauce
French Fries
CHILI CHEESE DOG
Homemade Coleslaw
(NO BREAD)
(< SEE SERVER>>)
Sub Total
6.49
.69
: 21.15
1. You need to pay 6% tax on your subtotal. How much will
you pay in tax?
2. What is your new total?
M
Answer:
6
Step-by-step explanation:
You have just arranged for a $1,760,000 mortgage to finance the purchase of a large tract of land. The mortgage has an APR of 7.6 percent, and it calls for monthly payments over the next 25 years. However, the loan has an eight-year balloon payment, meaning that the loan must be paid off then. How big will the balloon payment be?
Answer:
$1,500,257.38
Step-by-step explanation:
The balloon payment will be the balance on the loan after 8 years worth of payments have been made. The normal payment amount is the value calculated for a 25-year loan. A spreadsheet, financial calculator, or app can simplify this for you. In the attached, we have used the financial functions available on a TI-84 calculator.
The normal monthly payment will be $13,120.94.
After 8 years, the remaining balance will be $1,500,257.38. This is the size of the balloon payment.
3/4 divided by 1/5 and explaining please
Answer:
3.75 or 3 3/4
Step-by-step explanation
Ok the denominators aren't the same so were going to make them the same by them changing into the same number.
we can do thins by timesing 5 by 4=20 and 4 timesing by 5=20
So now that the denominators are the same we have to times 1 by 4 since it denominator was times by same thing with 3 except that only get times by 5.
1 x 4=4 and 3 x 5=15 so now our two fractions are 15/20 and 4/20
15 divided by 4=3.75 and there's our answer.
we get the .75 because it is 3 more so 3 4 x3 =12 that's where we get 3 and then there is 3 left and 3/4 of and 3/4=0.75 and then you combined them to make 3.75.
hope it helps have a great afternoon
implify 7xy + 8x - 5xy - 6x
Answer:
[tex]2x(y+1)[/tex]
Step-by-step explanation:
[tex]7xy+8x-5xy-6x\\\\2xy+2x\\\\2x(y+1)[/tex]
Answer:
2xy+2x
Step-by-step explanation:
Please Help! Locks in 15 minutes! I will Give brainlest and 5 star review!
5. Consider the following polynomial function.
g(x) = x + 4w2y? - 11wx?
30wx
The following graph represents the function.
62
35
18
He
P12
6 7 8 9 10
-12
-18
-24
-30
-15
-
-54
Find the value of w.
Answer:
w = 1
Step-by-step explanation:
y = [tex]x^{4}[/tex] + 4w²x³ - 11wx² - 30wx
if x = 3 , then y = 0
[tex]3^{4}[/tex] + 4w²( 3 )³ - 11w( 3 )² - 30w( 3 ) = 0
108 w² - 99 w - 90w + 81 = 0 ........ (1)
(1) ÷ 9
12w² - 21w + 9 = 0 ⇒ [tex]w_{1}[/tex] = 1 and [tex]w_{2}[/tex] = [tex]\frac{3}{4}[/tex]
"1" the value for w that match the graph.
w = 1
Solve this expression. 2.2-0.5(0.6x-1.8)
Answer:
3.1 - 0.3x
Step-by-step explanation:
2.2-0.5(0.6x-1.8)
2.2-0.5×0.6x-0.5×(-1.8)
2.2-0.5×0.6x+0.5×1.8
2.2-0.3x+0.5×1.8
2.2-0.3x+0.9
answer: 3.1-0.3x
hurry pls 1. Kevin ran 4 miles more than Steve ran. The sum of their distances is 26 miles. How far did Steve run? The domain of the solution is {0, 4, 11, 22}.
a. Define your variable.
b. Write algebraic expressions for the distances each person ran.
c. Write an equation that can help you solve the problem.
d. Solve the equation.
e. Check your answer.
98 points
Answer:
steve ran 11 miles.
Step-by-step explanation:
8r+12p-3p
I cant figure thia on out
Answer:
8r + 9p
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variables as well as the same amount of said variable.
In this case, combine 12p with -3p
8r + 12p - 3p
8r + (12p - 3p)
8r + 9p
8r + 9p is your answer.
~
While adding such algebraic expressions, we combine the like terms which contains the same variables infact same degree of variables.
Given expression:
8r + 12p - 3pHere 12p and 3p are like terms because they are having same variable that is p. So, we can compute any operation like hear it's subtraction.
➝ 8r + (12p - 3p)
➝ 8r + 9p
Now no more like terms are there, So the final answer is 8r + 9p. And we are done!
Carry On Learning [tex]![/tex]
The probability of two candidates A and B passing an exam are 2/3 and 3/4 respectively find the probability only one will pass at least one will pass
Answer:
[tex]\rainbow{\rule{10000pt}{900000pt}}[/tex]
How do you write a half of ten thousandths of an inch?
Answer:
you just did so I don't know what you mean
Step-by-step explanation:
magic