Answer:
Charlotte's age = 30 years
Olivia's age = 50 years
Step-by-step explanation:
Present ages of Charlotte & Olivia = 6:10.
Then, their present ages are:
Charlotte = 6x
Olivia = 10x
Now, in 10 years, their ratio = 4:6
Then,
Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years
[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]
So,
Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]
Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Simplify 22-2(12/4+2*3)/3+7
Answer: 23
Step-by-step explanation:
A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 .
1.4
Arrange the number of voters in 2016 - election
per province in ascending order.
5
Calculate the percentage of votes in the 2016-election that went
to "Other" in the National Results, if the total number of voters was
26 660 276.
Answer:
that would be 57
Step-by-step explanation:
because im smart
(PLS HELP AND FAST!!!!) 1. A single, standerd number cube is tossed. What is the probality of getting a number GREATER then 3? A. 2/3 B. 1/3 C. 1/6 D. 1/2.
WILL GIVE 100 POINTS IF CORRECT!!! ):D
Answer:
D
Step-by-step explanation:
assuming a 6 sided die half of the die is above 3 so 1/2
what is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 Round to the nearest place
how to diagonalize matrix using eigen values and eigen vectors
he density of gold is 19.3 g/cm3. What is the volume of a 13 g gold nugget? (Density: D = )
.25 cm3
.67 cm3
1.48 cm3
2.50 cm3
PLEASE ANSWER
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA
Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.
What are similar triangles?Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.
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Urgent help,
Translate the following words into equations step 2 solve the equation.
8 more than a number is equal to 15
The product of 7 and a number is 35
Answer:
x+8=15
-8. -8
x=7
7x=35
7. 7
x=5
Baseballs are sold 8 to a box. The
league is planning on having 18
games. If they need 3 balls for
each game, how many boxes will
they have to buy?
Infusions (or intravenous drips) are used to deliver fluids and drugs to patients.
Nurses need to calculate the drip rate, D, in drops per minute for infusions.
They use the formula D =dv/60n where
d is the drop factor measured in drops per milliliter (mL)
v is the volume in mL of the infusion
n is the number of hours the infusion is required to run.
A nurse wants to double the time an infusion runs for.
Describe precisely how D changes if n is doubled but d and v do not change.
Answer:
D is halved
Step-by-step explanation:
Given :
D = -dv/60nIf n is doubled :
D' = -dv/60(2n)D' = -dv/120nD' = D/2When n is doubled, D (the drop factor) is half of its original value.
10)
Ross has (8x-5) tickets for Chuck E Cheese. He is going to play today and wants to buy
a prize that is (15x+1) tickets. How many tickets must be win to have enough tickets to buy the
prize?
Answer:
(7x + 6) tickets
Step-by-step explanation:
Tickets Ross has : 8x - 5
Tickets Ross needs : 15x + 1
To find out the remaining amount, subtract the tickets Ross has from the number of tickets he needs.
15x + 1 - (8x - 5)15x + 1 - 8x + 5(7x + 6) ticketsMust ticket win
Prize-Previous amount15x+1-(8x-5)15x+1-8x+515x-8x+1+57x+6 ticketsFind the slope, if it exists, of the line containing the pair of points (1, -2) and (1, - 4).
Answer:
no answer
Step-by-step explanation:
1, -2 ; 1, -4 : -4-2/1-1 = no solution
which equation represents a line that passed through (2,-1:2) and has a sloe of 3
The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18
How to determine the equation of the line?The points are given as:
(x1, y1) = (2, -12)
The slope is given as:
m = 3
The equation of the line is calculated using:
y = m(x - x1) + y1
So, we have:
y = 3(x - 2) - 12
Open the bracket
y = 3x - 6 - 12
Evaluate
y = 3x - 18
Hence, the equation of the line is y = 3x - 18
Read more about linear equations at:
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Find the missing values. Leave answers in simplified radical form.
Answer:
See below ~
Step-by-step explanation:
Q3
r = 8 / sin 45°r = 8 / (1/√2)r = 8√2t = 8 / tan 45°t = 8 / 1t = 8
Q4
f = 9√3 / sin 60°f = 9√3 / (√3/2)f = 18o = 9√3 / tan 60°o = 9√3 / √3o = 9#3
tan45=8/t1=8/tt=8Simiilary
cos45=8/rr=8√2#4
sin60=9√3/f√3/2=9√3/f1/2=9/ff=18And
cos60=0/181/2=0/18o=18/2=9Graph the image of rectangle CDEF after a translation 2 units right and 10 units down.
Answer:
Graph these points:
(-6, -6)
(0, -6)
(0, -1)
(-6, -1)
Help with functions!! Thank you!!
Answer:
(s - t)(x) = 4x^2 - x - 5
(s + t)(x) = 4x^2 + x + 5
(s * t)(-1) = 16
Step-by-step explanation:
(s - t)(x) is simply the same as s(x) - t(x)
(s + t)(x) is simply the same as s(x) + t(x)
(s * t)(x) is simply the same as s(x) * t(x)
(s - t)(x) = s(x) - t(x) = 4x^2 - (x+5) = 4x^2 - x - 5
(s + t)(x) = s(x) + t(x) = 4x^2 + (x+5) = 4x^2 + x + 5
(s * t)(-1) = s(-1) * t(-1) = 4(-1)^2 * (-1+5) = 4 * 4 = 16
You wish to test the following claim (
H
a
) at a significance level of
α
=
0.002
.
H
o
:
μ
=
57.7
H
a
:
μ
≠
57.7
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n
=
286
with mean
M
=
59.6
and a standard deviation of
S
D
=
7.7
.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Using the t-distribution, it is found that the desired measures are given as follows:
The test statistic is t = 4.17.The p-value is of 0.0004.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 57.7, that is:
[tex]H_0: \mu = 57.7[/tex]
At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:
[tex]H_a: \mu \neq 57.7[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286[/tex]
Hence, the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}[/tex]
t = 4.17.
What is the p-value?We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.
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Graph x = 4 help please!!! :(
Answer:
x = 4 would be a vertical line along with the value x=4
Step-by-step explanation:
The line of x=4 represents all values with the x value 4 so any value with (4,y) would be on the line x = 4 so if plot (4,0), (4,1), (4,2). It will form a vertical line at x=4.
“Explain why you can have different values when evaluating an algebraic expression”
Porque Las expresiones algebraicas son combinaciones de variables , números, y por lo menos una operación aritmética.Para evaluar una expresión algebraica, reemplace la variable o variables con valores conocidos y luego utilice el orden de las operaciones .Para su conveniencia, puede usar paréntesis cuando introduzca valores negativos en las variables.
ENGLISH:
Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation.
To evaluate an algebraic expression, replace the variable(s) with known values and then use the order of operations.
For your convenience, you can use parentheses when entering negative values in variables.
x^2 +8 x+ y^2-12 y =14 what is the center and radius
Answer:
Step-by-step explanation:
need help with my aleks
Answer:
x = 66
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
x + 35 + 79 = 180 , that is
x + 114 = 180 ( subtract 114 from both sides )
x = 66
* Given the following expressions:
I.
[tex] - \frac{5 }{8} + \frac{3}{5} [/tex]
||.
[tex] \frac{1}{2} + \sqrt{2} [/tex]
|||.
[tex]( \sqrt{5} ) \times ( \sqrt{5} )[/tex]
IV.
[tex]3 \times ( \sqrt{49} )[/tex]
Answer:
sorrry i forget you man ..... or bro .....
A rectangular prism with a length of 3.8 meters and a width of 1.5 meters has a volume of 16.53 cubic meters.
What is the height of the prism?
2.9 m
6.525 m
11.23 m
21.83 m
can someone please help me this this??
Answers:
bio = 258
sociology = 169
============================================================
Work Shown:
x = number of bio textbooks
y = number of sociology textbooks
x+y = 427 books sold total
y = x-89 since 89 less sociology textbooks were sold compared to bio
Apply substitution to get the following
x+y = 427
x+x-89 = 427 ... replace y with x-89
2x-89 = 427
2x = 427+89
2x = 516
x = 516/2
x = 258 bio textbooks were sold
y = x-89
y = 258-89
y = 169 sociology textbooks were sold
write the equation of the line passing through the point (-4 "-7)" and (8 "-17)"
Answer:
[tex]y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]
In order to find equation:
Find slope:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{rise}{run}[/tex]
[tex]\rightarrow \sf slope: \dfrac{-17-(-7)}{8-(-4)}[/tex]
[tex]\rightarrow \sf slope: -\dfrac{5}{6}[/tex]
Then find equation using:
y - y1 = m(x -x1) where (x1, y1) are points, m is slope
[tex]\sf \rightarrow y - (-17) = -\dfrac{5}{6} (x - 8)[/tex]
[tex]\sf \rightarrow y = -\dfrac{5}{6} x + \dfrac{20}{3} -17[/tex]
[tex]\sf \rightarrow y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answer:
31 degrees
Step-by-step explanation:
90-59
=31
~rere
Answer:
<b = 31 °
Step-by-step explanation:
When the sum of two angles is equal to 90 degrees, they are called complementary angles
So . .
Because the sum is 90 subtract!
90 - 59 = 31<b = 31 °
Vera needs repairs on her car. The mechanic’s estimate says that he will provide 7.3 hours of labor. His rate is $55 per hour. The total cost of the labor will be
Answer:
total cost = given hours × rate per hour
Answer:
401.5
Step-by-step explanation:
Complete the long division problem on your own sheet of paper. Then, fill in the digits.
Answer:
52
Step-by-step explanation:
5 goes in the top left under the 4 & 1 is 40 bring the 1 down drop the 6 next to the 1 write 16 under the 16 and you get 2 and at the very bottom write 0
Write the equation of the conic section shown below.
Answer:
f(x) = -5/81( x^2 -2x - 80)
Step-by-step explanation:
The zeroes are -8 and 10 so we can write :
f(x) = -a(x - 10)(x + 8)
( negative is because the parabola opens downwards).
The maximum value is at the vertex = 5.
f(x) = -a(x^2 - 2x - 80)
= a[(x - 1)^2 - 1 - 80)
= a(x - 1)^2 - 81a
As the vertex is at f(x) = 5
81a = 5 so a = 5/81
So the equation is
f(x) = -5/81( x^2 -2x - 80)
The system has ___________ solution(s). y = 2x + 6 4y = 8x + 24
Answer:
Step-by-step explanation:
4(2x + 6) = 8x + 24
8x + 24 = 8x + 24
infinite many solutions