Answer:
x=42
Step-by-step explanation:
Write the equation.
2(x+50)=16+4x
Spread the parentheses
2x+100=16+4x
Put variables on one side, numbers on the other.
2x-4x=16-100
Add/subtract/multiply/divide the variables with variables and numbers with numbers.
-2x=-84
Make x alone
-x=-42
Flip sides to make x positive
42=x
Write 8/15 as a decimal. If necessary round your answer to the nearest
hundredth.
Answer:
53%
Step-by-step explanation:
8 divided by 5 is equal 0.533333333
8/15 (just divide) is equal to 0.5333... or 0.54
:)
Due VOL
One number is 2 more than 2 times another. Their product is 12. Find the numbers.
Jazmin takes a ride share service home from the airport. The ride share service charges $5 as an initial cost to pick her up, and $2.25 for every mile to her final destination. Jazmin's ride home cost a total of $38.75.
Write an equation to represent the situation. Let m represent the number of miles to her home. Do not use any spaces or extra symbols.
Answer:
[tex]5+2.25m=38.75[/tex]
Step-by-step explanation:
Let [tex]m[/tex] represent the number of miles to Jazmin's home.
Initial cost to pick Jazmin [tex]=\$5[/tex]
Cost per mile [tex]=\$2.25[/tex]
Therefore,
Cost for [tex]m[/tex] miles [tex]=\$2.25m[/tex]
Total cost of Jazmin's ride = Initial cost to pick Jazmin + Cost for [tex]m[/tex] miles
= [tex]5+2.25m[/tex]
Also, total cost incurred [tex]=\$38.75[/tex]
So, equation that represent the above situation is [tex]5+2.25m=38.75[/tex]
A)$150 at 3 % interest for 2 years
B)$750.00 at 1/2% interest for 3 years C) $2,250.00 at 1 3/4% interest for 1 year
D)$2.550.00 at 3 1/4 interest for 4 years
Answer:
A) 159.135 = X
B) 2,531.25 = X
C) 6,187.5 = X
D) 831,947.46 = X
Step-by-step explanation:
The following investments are required to be calculated:
A) $ 150 at 3% interest for 2 years
B) $ 750.00 at 1/2% interest for 3 years
C) $ 2,250.00 at 1 3/4% interest for 1 year
D) $ 2,550.00 at 3 1/4 interest for 4 years
Therefore, the following calculations must be performed:
A)
150 x (1 + 0.03) ^ 2 = X
150 x 1.03 ^ 2 = X
159.135 = X
B)
750 x (1 + 0.5) ^ 3 = X
750 x 1.5 ^ 3 = X
2,531.25 = X
C)
2,250 x (1 + 1.75) = X
2,250 x 2.75 = X
6,187.5 = X
D)
2,550 x (1 + 3.25) ^ 4 = X
2,550 x 4.25 ^ 4 = X
831,947.46 = X
Find the compound amount and compound interest on $6000 invested at 6%
compounded continously for 6 years. Use e = 2.71828
(Round value of exponential expression upto 4 decimal places.)
Answer:
$8,511.1147
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^n
P is the amount invested = $6000
r is the rate = 6% = 0.06
t is the time = 6yrs
A is the compound amount
A = 6000(1+0.06)^6
A = 6000(1.06)^6
A = 6000(1.4185)
A = 8,511.1147
Hence the compound amount to 4dp is $8,511.1147
An administrator at a local high school wants to investigate whether there is an association between the grade level of a student (either ninth, tenth, eleventh, or twelfth) and how the student commutes to school (either walks, bikes, takes the bus, receives a ride, or drives). After a chi-square test for association was conducted, the results indicated that the chi-square test statistic was 14.63 with a p-value of 0.2623. Which of the following is the correct interpretation of the p-value in the context of the test?
a. There is a 26.23 percent chance that grade level and how a student commutes to school are independent.
b. There is a 26.23 percent chance that there is no association between grade level and how a student commutes to school.
c. Assuming there is no association between a student's grade level and how the student commutes to school, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger.
d. Assuming that a student's grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger.
e. Assuming that a student's grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or smaller.
Answer:
c.
Step-by-step explanation:
The following is how the p-value should be interpreted:
The probability of getting the test statistics value at least as intense as it might have been acquired during the test, assuming the null hypothesis is true, is considered as the p-value.
Null hypothesis
[tex]\mathbf{H_o :}[/tex] A student's grade level has no bearing or association on how they commute to school.
Alternative hypothesis;
[tex]\mathbf{H_1: }[/tex] There is a link between a student's grade level and the way they get to school.
The test statistic's value is 14.63, and the p-value is 0.2636.
As a result, the p-value is interpreted as that of option c in the question.
Answer: C
Step-by-step explanation: Because the p value is less than 0.05 you know that your null hypothesis can be rejected and thus your alternative can have significant evidence to be proven. Thus you can eliminate answer choices B, and E. A and B can be rejected because your p value from your chi square test is telling you the likelihood of your chi square falling in a certain category of the graph.
The ratio of the diameters of two similar cylinders is 4/5 What is the ratio of their surface areas? of their volumes?
Answer:
yo
Step-by-step explanation:
jy
(Question # 2) What is the Mode of the following set of numbers: {3, 4, 6,
8, 8, 8, 14, 15, 16, 16
Jill is flying a kite that has a 30ft. long string. If Jill is 5.4 ft. tall and her arm is making a 31-degree angle with the ground, how high is the kite in the air?
Answer:
20.85ft
Step-by-step explanation:
height of kite = person's height + vertical component of kite at the angle
= 5.4ft + 30sin31
=20.85ft
What net is shown below?
rectangular prism
square pyramid
triangular pyramid
triangular prism
Answer:
Square pyramid.
Step-by-step explanation:
Pretend that all the sides are up, and then you’d know it’s a square pyramid because th e bottom is a square and when you put up the sides it’s a pyramid.
I hope this helps! Good luck!
(please give me brainliest!)
4y^2 +9=x
Standard form?
Answer:
y = 1/2 ⋅ √ x − 9
y = − 1 /2 ⋅ √ x − 9
Step-by-step explanation:
Four divided by a number, b
Please help
Answer: Can you explain more?
Step-by-step explanation:
Answer:
The expression would be 4 over b : [tex]\frac{4}{b}[/tex]
Step-by-step explanation:
a fraction sign is the same thing as a division sign
Faye has $5,000 that she is going to deposit into two accounts as shown:
Account Deposit Interest Type Interest Rate
#1 $2,000 Simple 5%
#2 $3,000 Compound 4%
Assuming that Faye does not make any additional deposits or withdrawals, find the combined amount of her two accounts after 15 years.
$15,902.83
$3,902.83
$8,902.83
$6,902.83
Answer:
$8,902.83
Step-by-step explanation:
Answer:
8,902.83
Step-by-step explanation:
I have the same question but with different answers
except 8,902.83
6/x=2x+4/5 multiply each side by the common denominator to find the quadratic equation equivalent to this equation
9514 1404 393
Answer:
C. 2x² +4x -30 = 0
Step-by-step explanation:
This is what you get when you follow the instructions.
[tex]\dfrac{6}{x}=\dfrac{2x+4}{5}\qquad\text{given}\\\\\dfrac{6(5x)}{x}=\dfrac{(5x)(2x+4)}{5}\qquad\text{multiply by the common denominator $5x$}\\\\30=x(2x+4)\qquad\text{cancel common factors}\\\\30=2x^2+4x\qquad\text{eliminate parentheses}\\\\\boxed{2x^2+4x-30=0}\qquad\text{subtract 30}[/tex]
The ratio of games won to games lost for a baseball team is 7:2. The team
won 14 games. How many games did the team lose?
Answer:
They lost 4 games.
Step-by-step explanation:
brainliest pls
A f and g share the same root(s)
B f and g share one root in common but each have another root that is not shared
C f and g share no roots in common
9514 1404 393
Answer:
C f and g share no roots
Step-by-step explanation:
The roots of a polynomial function are the values of x that make factors of the function be zero.
f(x) = x(x +4). The roots of f are -4 and 0.
g(x) = (1/2)(x+3)(x-4). The roots of g are -3 and 4.
f and g share no roots in common.
Please help, will give brainliest
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<VUR and <TUR; <VUW and <VUR; <VUW and <TUW; <SRP and <SRU
Step-by-step explanation:
All the angles that are next to each other would be considered ajacent.
What would be 57.99461679 rounded to the nearest whole number ?
Answer:
58
Step-by-step explanation:
58
boom. done.
more than .5 is round up
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
Answer:
Step-by-step explanation:
We can first solve for the face diagonal. That is [tex]\sqrt{(10^2+5^2)}[/tex]. Notice this will form a right triangle with the vertical side. We get that the face diagonal = [tex]\sqrt{125}[/tex]. Now, we can use Pythagorean theorem again to get the straw length:
[tex]s^2 = 9^2+\sqrt{125}^2[/tex] where s = the straw length.
We can solve that s = [tex]\sqrt{206}[/tex]
Which of the following point-slope form equations could be produced with the points (4, 5) and (-3, -5)?
Given:
The two points are (4,5) and (-3,-5).
To find:
The point-slope form equations could be produced with the given points.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The two points are (4,5) and (-3,-5). So, the slope of the line is:
[tex]m=\dfrac{-5-5}{-3-4}[/tex]
[tex]m=\dfrac{-10}{-7}[/tex]
[tex]m=\dfrac{10}{7}[/tex]
The point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope of the line.
The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (4,5). So, the point slope form is:
[tex]y-5=\dfrac{10}{7}(x-4)[/tex]
The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (-3,-5). So, the point slope form is:
[tex]y-(-5)=\dfrac{10}{7}(x-(-3))[/tex]
[tex]y+5=\dfrac{10}{7}(x+3)[/tex]
Therefore, the point slope form of the given line is either [tex]y-5=\dfrac{10}{7}(x-4)[/tex] or [tex]y+5=\dfrac{10}{7}(x+3)[/tex].
Can someone please help me I will mark u brilliant
Answer: The answer is 84 cubic feet.
Step-by-step explanation:
V= l*w*h
V=14*12*1/2
V= 84
Question 11 of 25
What is the solution to this inequality?
X/12 +3 <=7
A. X>=48
B. X<= 81
C. x>=81
D. X<=48
SUBM
Answer:
D
Step-by-step explanation:
first multiply both sides by 12
collect like terms
x/12×12+3×12<=7×12
x+36<=84
x<=84-36
x<=48
A snow storm hit Sanford with 7 inches of snow in 28
hours. What was the rate of the snowfall in inches per
hour?
Answer:
.25 in per hour
Step-by-step explanation:
you just divide 28/7 and you get the per hour and you can double check your work by doing .25 * any hour until you get 28
Answer:
it will be 4 inches per hour
Step-by-step explanation:
to find unit rate you will divide 28 and 7 and will get 4
19. √12
rational ir iraational
Answer:
65.8179...
Step-by-step explanation:
its 65.8179...
The sum of the squares of two positive numbers is 73 and the difference of the squares of the numbers is 55. Find the numbers. If there
use the "or" button
The two numbers are 3 and 8.
What are squares of a number?Square numbers are numbers that can be multiplied by themselves.
Given that, The sum of the squares of two positive numbers is 73 and the difference of the squares of the numbers is 55.
Let the numbers be x and y, then,
x²+y² = 73
x²-y² = 55
On solving, we get,
x² = 9
x = 3
Putting x = 3 in first equation, we get
3²+y² = 73
y² = 64
y = 8
Hence, the required numbers are 3 and 8.
For more references on square of a number, click;
https://brainly.com/question/28610159
#SPJ2
7•2 + 7•23= pls help
Answer:
175
Step-by-step explanation:
if thats what you mean
Answer:
175
Step-by-step explanation:
7 times 2=14
7 times 23=161
161+14=175
hope this helps:)
plz can i get brainliest
Is urgent If a line passes through the points (2, 7) and (7,9), its slope is
necessary, use the slash (/) to indicate a fraction.
If
en un velocímetro se registra una velocidad de 8.5 m/seg ¿cual sería la velocidad en km/hr?
Answer:
x = 30.6 km/hr
Step-by-step explanation:
Dados los siguientes datos;
Velocidad = 8.5 m/s
Para convertirlo a km /hr;
1 m/s = 3.6 km/hora
8.5 m/s = x km/hora
Multiplicación cruzada, tenemos;
x = 8.5 * 3.6
x = 30.6 km/hora
Velocidad se puede definir como la tasa de cambio en el desplazamiento (distancia) con el tiempo. La velocidad es una cantidad vectorial y, como tal, tiene magnitud y dirección. Matemáticamente, la velocidad viene dada por la ecuación;
[tex] Velocidad = \frac {distancia} {tiempo} [/tex]
Marie bought a shirt on sale. The original price of the shirt was $40. What is the sale price of the shirt after a 20% discount?
Answer:
s
Step-by-step explanation: