Answer:
1) 38
2) 49
Step-by-step explanation:
1) 10 + 8 ÷2(4 + 3)
Knowing Pemdas, we do the expression in the parentheses first.
4+3 = 7
The new expression is: 10 + 8 ÷ 2 · 7
Using Pemdas, 8 ÷ 2 is 4.
10 + 4 · 7
10 + 28 = 38.
The answer to #1 is 38.
2) 21 ÷ ( 1 ) ( 3 ) + 0 - 14
21 ÷ 1 = 21
21 · 3 = 63
63 + 0 = 63
63 - 14 = 49
The answer to #2 is 49.
write your answer as a mixed number in simple form
2 5/8 -1 3/7
it is 1 11/56
if i am right can u give brainliest
How do you solve 19/24=-5/6x-1/4 step by step, with verification?
Answer:
−1.25 or -5/4
Step-by-step explanation:
Equation
19/24 = -5/6x - 1/4
first swap sides so that all variable terms are on the left hand side
-5/6x - 1/4 = 19/24
add 1/4 to both sides.
-5/6x = 19/24 + 1/4
Least common multiple of 24 and 4 is 24. Convert 19/24 and 1/4 to fractions with a denominator of 24.
-5/6x = 19/24 + 6/24
Since 19/24 and 6/24 have the same denominator, add them by adding their numerators.
-5/6x = 19+6/24
Add 19 and 6 to get 25
-5/6x = 25/24
Multiply both sides by -6/5, the reciprocal of -5/6
x = 25/24 (-6/5)
Multiply 25/24 times -6/5 by multiplying numerator times numerator and denominator times denominator.
x = 25(-6) / 24x5
Do the multiplications in the fraction 25(-6) / 24x5
x = -150/120
Reduce the fraction -150/120 to the lowest terms by extracting and canceling out 30
x = -5/4
With verification
First write the equation and our value for x
19/24 = -5/6x - 1/4
x = -5/4
swap sides so that all variable terms are on the left hand side
-5/6x - 1/4 = 19/24
convert -5/6x to have the same denominator of 19/24.
-5 (4)
-6 (4)
== -20/24x
write the full equation with the converted variable
-20/24x - 1/4 = 19/24
Convert 1/4 to have the same denominator of 19/24
1 (6)
4 (6)
== 6/24
write the full equation with the converted variable and retain the minus sign
-20/24x - 6/24 = 19/24
write our value of X
-5/4
convert x to have the same denominator of -20/24x
-5(6)
-4(6)
= -30/24
x = -30/24
replace x in -20/24x with our updated value of x
-20/24(-30/24)
Multiply -20/24 by -30/24
= 25/24
write the full equation
25/24 - 6/24 = 19/24
subtract 25/24 by 6/24
19/24 = 19/24
the fraction 19/24 is equal to 19/24
verification complete
equality of fractions
Answer:
Fractions are equal when one fraction can be obtained from the other.
Step-by-step explanation:
equality means a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
On Friday, Noah drove 166.5 miles. On Saturday, he drove
68.4 miles. On Sunday, he drove 72.75 miles. Approximately how many miles did Noah drive in three days?
F 200 miles
G 210 miles
H 300 miles
J 310 miles
Answer:
J. 310 miles
Step-by-step explanation:
166.5+68.4+72.75 divided by 3 because there's three numbers you're adding together and you get 307.65 rounded up it's 310
Plse help me on number 11 and 12 so confused on what it’s saying
Help quick please it’s determine whether relations are functions
Answer:
Just trust in god and god will give you his wisdom.
Step-by-step explanation:
A rectangle's length and width are in a ratio of 20:3. The area is 240 square centimeters. What are the length and width?
Answer: Length - 40 cm, Width - 6cm
Step-by-step explanation:
Let the length of the rectangle = 20x.
Then, the width of the rectangle must = 3x by the ratio given.
The area of a rectangle is the length*width, which we are given as 240.
Therefore, 20x*3x = 240
We can combine like terms:
60x^2 = 240
Divide both sides by 60:
x^2 = 4
Square root both sides:
x = ± 2.
Since the sides of a rectangle cannot be negative, x must equal to 2.
The length of the rectangle is 20x, which is 20*2 = 40.
The width of the rectangle is 3x, which is 3*2 = 6.
PLEASE HELP ME!!!!!!!!
The costs for two families to attend Friday nights basketball game are given by
2x + 3y=13.50 and 3x + 2y= 16.50, where x is the cost of an adult ticket and y is the cost of a student ticket, in dollars.
A. What is the real- world meaning of the first equation?
B. Solve this system of equations using the substitution method.
C. What are the prices of adult and student tickets?
What is the real- world meaning of the first equation?
The first equation is: 2x+3y=13.50
The real world meaning of this is that the cost of two adult tickets plus cost of three student tickets is 13.5 dollars[tex]\rule{300pt}{1pt}[/tex]
#BSolve this system of equations using the substitution method.
[tex] 2x + 3y = 13.50 \\ 3x + 2y = 16.50[/tex]
[Solve the second equation for x][tex]2x + 3y = 13.50 \\ x = 5.5 - \frac{2}{3} y[/tex]
[Substitute the given value of x into the first equation][tex]2(5.5 - \frac{2}{3} y) + 3y = 13.50[/tex]
[Solve the equation for y][tex]y = 1.5[/tex]
[Substitute the given value of y into the second equation][tex]x = 5.5 - \frac{2}{3} \times 1.5[/tex]
[Solve the equation for x][tex]x = 4.5[/tex]
[The possible solution of the system is the ordered pair (x,y)][tex](x,y)=(4.5,1.5)[/tex]
[tex]\rule{300pt}{1pt}[/tex]
#CWhat are the prices of adult and student tickets?
X is representing the cost of 1 adult ticket, When we solved the equation we got the value of x as 4.5 that means the cost of an adult ticket is $4.5...~Y is representing the cost of 1 student ticket, When we solved the equation we got the value of y as 1.5 that means the cost of an student ticket is $1.5...~Solve the trigonometric function
cos∅ - cos^3 ∅ / cos^3 ∅
Answer:
tan²Θ
Step-by-step explanation:
simplify the expression using the identities
secΘ = [tex]\frac{1}{cos0}[/tex]
tan²Θ = sec²Θ - 1
then
[tex]\frac{cos0-cos^30}{cos^30}[/tex] ( divide each term on the numerator by cos³Θ
= [tex]\frac{cos0}{cos^30}[/tex] - [tex]\frac{cos^30}{cos^30}[/tex]
= [tex]\frac{1}{cos^20}[/tex] - 1
= sec²Θ - 1
= tan²Θ
Answer:
[tex]\tan^2(\theta)[/tex]
Step-by-step explanation:
Assuming this is
[tex]\dfrac{\cos(\theta)-cos^3(\theta)}{cos^3(\theta)}[/tex]
Trig identities used:
[tex]\sin^2(\theta)+\cos^2(\theta)=1 \implies 1-\cos^2(\theta)=\sin^2(\theta)[/tex]
[tex]\dfrac{\cos(\theta)-cos^3(\theta)}{cos^3(\theta)}[/tex]
[tex]=\dfrac{\cos(\theta)(1-cos^2(\theta))}{cos^3(\theta)}[/tex]
[tex]=\dfrac{1-cos^2(\theta)}{cos^2(\theta)}[/tex]
[tex]=\dfrac{sin^2(\theta)}{cos^2(\theta)}[/tex]
[tex]=\tan^2(\theta)[/tex]
2. What is the area of the circle below?
Use the formula A = nr2.
3 m
А зл m2
B 6T m?
C 9r m?
12 more than janelle's score is 74
Answer:
janelles score is 62
Step-by-step explanation:
Answer:
NO
THE ANSWER IS 74 IS MORE THAN 12Step-by-step explanation:
#HOPE IT HELPS#LEARN MORE,HELP MOREWhat is the service call charge?
A service call charge or fee is when you are charged a certain amount of money in order for a service technician to perform that specfic service.
Sophia codes 1/5 of her game in 1/4 of an hour
At this rate how much of her game can she code in 1 hour?
1. Show your thinking step-by-step on how you saw this problem
2. Don’t forget to add the final answer
Giveing Brainly and worth 50 points!!!
(Please actually answer or don’t comment)
she can code 4/5 of her game in 1 hour at this rate.
[tex]\sf \dfrac{1}{4} \ hour \rightarrow \dfrac{1}{5} \ or \ 0.2 \ of \ her \ game[/tex]
[tex]\sf 1 \ hour \rightarrow \dfrac{\dfrac{1}{5} }{\dfrac{1}{4} } \ or \ \dfrac{0.2}{0.25} \ of \ her \ game[/tex]
[tex]\sf 1 \ hour \rightarrow \dfrac{1}{5} *\dfrac{4}{1} \ \ or \ \ \dfrac{0.2}{0.25} \ of \ her \ game[/tex]
[tex]\sf 1 \ hour \rightarrow \dfrac{4}{5} \ or \ 0.8 \ of \ her \ game[/tex]
Solution:
We know that:
[tex]\frac{Game}{5} = \frac{Hour}{4}[/tex]Let's multiply 4 both sides to see how much Sophia can code in 1 hour.
Multiplying 4 both sides:
[tex]\frac{Game}{5} = \frac{Hour}{4}[/tex][tex]\frac{Game}{5} \times 4 = \frac{Hour}{4} \times 4[/tex]Finding how much Sophia can code in 1 hour.
=> [tex]\frac{Game}{5} \times 4 = \frac{Hour}{4} \times 4[/tex]=> [tex]\frac{4}{5} \ of \ game = \frac{Hour}{4} \times 4 = 1 \ hour[/tex]Thus, Sophia can code 4/5 of her game in 1 hour.
A sixth-grade class must raise at least $447 to go on a field trip. The amount of money, m, that each of the 30 students must raise can be found using the inequality below. If all the students contribute an equal amount, how much will each student need to raise for the class to go on the field trip? 1. Summarize the given situation in your own words. (What do you notice?)
Answer:
Each student must raise $14.90
Step-by-step explanation:
This is actually fairly easy to figure out (at least this part) all you do is 447/30 and then you get your 14.9 (14.90)
m = 14.90
30m = 447
Select the correct answer.
Simplify the following expression.
4^-11/3 / 4^-2/3
A.
B.
C.
D.
Answer: C
Step-by-step explanation:
[tex]4^{-11/3 -(-2/3)=4^{-11/3 + 2/3}=4^{-3}=1/64[/tex]
I NEED HELP NOWWWW AND I MEAN RIGHT THIS SECOND PLEASE
Answer: See below
Step-by-step explanation:
1 1/2 as mixed fraction = 3/2
3/4 + 3/4 = 3/2
2 2/3 as a mixed fraction = 8/3
7/3 + 1/3 = 8/3
10-(-41)-28 what is the answer of this question
Answer:
[tex]\huge\boxed{\sf{23}}[/tex]
Step-by-step explanation:
Hello.
First, -(-a) = a, where a is a variable or a constant.
Now, simplify:
10-(-41)-28
10+41-28
51-28
23
I hope it helps.
Have an awesome day.
[tex]\boxed{imperturbability}[/tex]
Sam has five-sixths as many sweets as Caitlin. Who has more sweets?
Answer:
Caitlin has more sweet than sam
how much interest would $5,000 earn in one year at a rate if 5% compounded annually? what would be the new balance
Despegue desde la Tierra Un cohete despega desde la superficie terrestre con una aceleración constante de 20 m/seg. ¿Qué tan rápi- do irá el cohete 1 minuto después?
Veremos que la velocidad un minuto despues es 1,200 m/s.
¿Como encontrar la velocidad del cohete?
Sabemos que la aceleración del cohete es constante, y es de 20 m/seg^2 (asumimos que el cohete tiene esta aceleración teniendo en cuenta la aceleración gravitatoria, es decir, 20m/seg^2 es la aceleración neta).
a(t) = 20m/seg^2.
Para obtener la velocidad, integramos la cantidad de arriba:
v(t) = (20 m/seg^2)*t + V
Donde V es la velocidad inicial del cohete, que sabemos es igual a cero.
v(t) = (20 m/seg^2)*t.
Con esta ecuación, podemos ver que la velocidad un minuto despues será:
v(60s) = (20 m/seg^2)*60s = 1,200 m/s.
Sí quieres aprender más sobre velocidad, puedes leer:
https://brainly.com/question/25316464
What is the opposite of -9.7?
Answer:
9.7..................
Answer:
If its just the number then 9.7
Step-by-step explanation:
9.7 is the exact opposite of -9.7
Please mark brainlest
Given the points (-9, 8) and (4, -1), find the rate of change between the points.
Answer:
The rate of change is M= -9/13 (M= negative nine over thirteen)
Step-by-step explanation:
During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 44 centimeters in 4 days, what is the water level increase rate in centimeters per day?
Answer:
11
Step-by-step explanation:
Please I need help asap
40 points
Answer:
A. surface area is 188.5
B. volume is 197.92
And for C its number 2
Are these right they are for my best friend and I have no clue HELP ME
PLEASE ANSWER THIS I HAVE 5 MINS WILL MARK BRAINLIEST IF CORRECT (PICTURE)
Answer:
Step-by-step explanation:
diameter = 12 cm
r = 12/2 = 6 cm
[tex]Area \ of \ semicircle = \dfrac{1}{2}\pi r^{2}\\\\\\=\dfrac{1}{2}* 3.14*6*6\\\\\\= 56.52 \ cm^{2}[/tex]
Triangle ABC is an isosceles triangle with AB = BC and mA=75°.
What is mB?
Answer: 30 degrees
Step-by-step explanation:
A cell phone company charges $100 to activate a phone line and then $50 a month after that. Which of the following functions relates the total cost after a certain amount of time?
Find for x HELPPPP MEEEEEE
Answer:
3
Step-by-step explanation:
(x + 1) : (3x + 1) = 8 : 20
20(x + 1) = 8(3x + 1)
20x + 20 = 24x + 8
12 = 4x
x = 3
Which graph represents the polar curve r = 1 + sin(θ)?
Answer:
I believe answer would be B
Step-by-step explanation:
I put the equation into desmos and B looks like the answer.
The graph of the polar curve r = 1 + sinФ is shown.
What is polar curve?A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance.
What is the graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
r = 1 + sin(θ)
Using formula ,
r = a±bsinФ
Where,
a > 0 and b >0
and a = b
graph the cardioid.
r = 1 - sinФ
Thus, the graph of the polar curve r = 1 + sinФ is shown.
Learn more about graphs here:
brainly.com/question/16608196
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