Answer:
Lin drank more water
Step-by-step explanation:
Given
Elena = 3 litres
Jada = ¾ of Elena
Lin = 2 times of Jada
Required
Determine if Lin drank more or less water than Elena
First, we have to get the actual amount of water Jada drank.
Jada = ¾ of Elena
Substitute 3 litres of Elena
[tex]Jada = \¾ * 3 litres[/tex]
[tex]Jada = 9/4 litres[/tex]
[tex]Jada = 2\¼\ litres[/tex]
Lin = 2 * Jada
Substitute 2¼ litres for Jada
[tex]Lin = 2 * 2\¼\ litres[/tex]
[tex]Lin = 2 * 9/4 litres[/tex]
[tex]Lin = 9/2 litres[/tex]
[tex]Lin = 4\frac{1}{2} litres[/tex]
Recall that Elena drank 3 litres
Comparing 3 Litres to [tex]4\frac{1}{2}[/tex] litres, we can conclude that Lin drank more water.
Evaluate if x =3 and y = -2
x2+2xy−4y
Answer:
5
Step-by-step explanation:
With the equation [tex]x^2 + 2xy - 4y[/tex], we can substitute the values of x = 3 and y = -2 into the equation to find its result.
[tex](3^2) + (2\cdot3\cdot-2) - (4\cdot-2)\\\\9 + (6\cdot-2) - (-8)\\9 - 12 + 8\\5[/tex]
Hope this helped!
chose the equivelent expresion 5⁶ a.(5⁴)² b.(5⁻²)⁻³ c.(5¹)⁵
Answer:
[tex]\Large \boxed{(5^{-2})^{-3}}[/tex]
Step-by-step explanation:
Applying the law of exponents : [tex](a^b)^c=a^{bc}[/tex]
[tex](5^4)^2 = 5^{4 \times 2} = 5^{8}[/tex]
[tex](5^{-2})^{-3}=5^{-2 \times -3}=5^6[/tex]
[tex](5^1)^5 =5^{1 \times 5}=5^5[/tex]
Answer:
[tex]\huge\boxed{Option \ B}[/tex]
Step-by-step explanation:
[tex]5^6[/tex] is equivalent to
=> [tex](5^4)^2 = 5^{4*2} = 5^ 8[/tex]
=> [tex](5^{-2})^{-3} = 5^{-2*-3} = 5^6[/tex] ← Correct
=> [tex](5^1)^5 = 5^{1*5} = 5^5[/tex]
In comparing two distributions, which attribute would you not compare?
A. Shape
B. Center
C. Marginal frequency
D. Spread
Answer:
The correct option is;
C. Marginal frequency
Step-by-step explanation:
The objective of comparison of two distributions is to check the significant difference from each other
The general measures used to compare the difference between distributions are the measures of centers such as the mean, the measures of spread such as the standard deviation and the shape of the compared distribution curves
Marginal frequencies are the values found in the total row and total column portion of a two way frequency distribution table
The marginal frequency is used to calculate the marginal relative frequency
The values of the marginal frequency, which is a sum, does not characterize the details of a distribution to a large extent.
Answer:
C. Marginal frequency
Step-by-step explanation:
I need help please :(
Answer:
[tex] 5^{-3} = \dfrac{1}{125} [/tex]
Step-by-step explanation:
Rule of negative exponents:
[tex] a^{-n} = \dfrac{1}{a^n} [/tex]
This problem:
[tex] 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{5 \cdot 5 \cdot 5} = \dfrac{1}{125} [/tex]
Answer:
[tex]\boxed{\frac{1}{125}}[/tex]
Step-by-step explanation:
[tex]5^{-3}[/tex]
Apply rule:
[tex]\displaystyle a^{-b}=\frac{1}{a^b}[/tex]
[tex]\displaystyle 5^{-3}=\frac{1}{5^3}= \frac{1}{125}[/tex]
Given the function f(x) = x + 7 What would the input have to be so that f(x) = 15?
I really need help with question.
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
in this we have given the value of f(x) = 15
[tex]f(x) = x + 7[/tex]
[tex]f(15) = 15 + 7[/tex]
[tex]f(15) = 22[/tex]
so this is ur answer
hope it helps .
Choose which is a statistical question: What are
the ages of the students in this class? or How
many pennies equal 1 dollar? Explain.
The statistical question is; "What are the ages of the students in this class?
What is a statistical question?A statistical question is always aimed at data collection which can subsequently used for analysis and decision making. Statistical questions are asked in the course of research.
Among the two questions, the statistical question is; "What are the ages of the students in this class?
Learn more about statistics:https://brainly.com/question/8058700
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EXAMPLE 10 Show that the points (a, a),(-a, - a) and (-3a, 3a) are the vertices of an equilateral triangle. Also find its area.
Answer:
The triangle is not equilateral.
Step-by-step explanation:
Distance formula:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Distance from (a, a) to (-a, -a):
[tex] d_1 = \sqrt{(-a - a)^2 + (-a - a)^2} [/tex]
[tex] d_1 = \sqrt{(-2a)^2 + (-2a)^2} [/tex]
[tex] d_1 = \sqrt{8a^2} [/tex]
Distance from (-a, -a) to (-3a, 3a):
[tex] d_2 = \sqrt{(-3a - (-a))^2 + (3a - (-a))^2} [/tex]
[tex] d_2 = \sqrt{(-2a)^2 + (4a)^2} [/tex]
[tex] d_2 = \sqrt{20a^2} [/tex]
Distance from (-3a, 3a) to (a, a):
[tex]d_3 = \sqrt{(-3a - a)^2 + (3a - a)^2}[/tex]
[tex]d_3 = \sqrt{(-4a)^2 + (2a)^2}[/tex]
[tex]d_3 = \sqrt{20a^2}[/tex]
The three sides do not have the same length, so the triangle is not equilateral.
Hassan drove 78 miles in 1ị hours. If he drove at a constant rate, how far did he
travel in one hour? Enter your answer as a whole number, proper fraction, or mixed
number in simplest form.
Answer:
1 1/3 hours
Step-by-step explanation:
I took the same test
ANSWER ASAP THANK youuu
Answer:
A
Step-by-step explanation:
● -7x > 21
Divide both sides by 7
● -7x/7 > 21/7
● -x > 3
Multiply both sides by -1 and switch the sign since you have multiplied by a negative number.
● x < -3
The representation is A since -3 is represented by an empty dot ○ wich means it's out the solutions
The solution to the given inequality -7x/7 > 21/7 is x < -3 which is the correct answer that would be option (A).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question
⇒ -7x > 21
Divide both sides by 7 both sides of the above inequality
⇒ -7x/7 > 21/7
⇒ -x > 3
Multiply both sides by -1 and because we multiplied by a negative quantity, flip the sign.
⇒ x < -3
The representation is A because -3 is represented by an empty dot which shows the solution of the graph.
The required graph has been attached which represents the solution to the given inequality -7x/7 > 21/7 is x < -3
Hence, the correct answer would be an option (A).
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Solve for x.
13(x-3) = 39
x=1
x=4
x=6
x= 10
Answer:
x=6
Step-by-step explanation:
13(x-3) = 39
Divide each side by 13
13/13(x-3) = 39/13
x-3 = 3
Add 3 to each side
x-3+3 = 3+3
x = 6
Answer:
x=6 ,is right.
6-3=3&multiply 13=39
so answer is x=6
mark brainleast plz
What is the percent of pls help I need to finish change fron
45 to 56?
Round to the nearest percent.
Answer:
Step-by-step explanation:
[tex]\dfrac{45}{56}*100= 0.8035 * 100 = 80.35[/tex] = 80%
After a 15% increase January receives a new salary of R23000. What was his salary before the increase
Answer:
His salory before Increse is 17250
a quarter of the sum of a number and 87 pls help me¡¡¡
Answer:
(x + 87)/4
Step-by-step explanation:
"a quarter" = 0.25 by numerical value.
"the sum of a number (x) and 87" = x + 87
Combine the two terms:
"the sum of a number (x) and 87" + "a quarter of the sum..." = (x + 87) * 0.25 = (x + 87)/4
(x + 87)/4 is your answer.
~
Helppp 100pts
A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and receives a report assessing favorable or unfavorable viewer response. In the past, 60% of the network's shows have received a favorable response from viewers, and 40% have received an unfavorable response. If 50% of the network’s shows have received a favorable response and have been successful, and 30% of the network’s shows have received an unfavorable response and have been successful, what is the probability that this new show will be successful if it receives a favorable response? A. 0.41 B. 0.53 C. 0.67 D. 0.70 E. 0.83
Answer:
.83
Step-by-step explanation:
If you take 100 shows 60 shows got favorable response and in that 50 shows were successful.
So probability for a show to be successful if it got a favorable response is = 50/60 = 0.83
Answer:
Ty for the free points
Step-by-step explanation:
✊✊✊
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answer:
Second option
Step-by-step explanation:
The cosine function is represented in the graph. that eliminates two options. The period of the function can be calculated by finding the value of b, and then the wavelength. This eliminates the first option, because the period in the graph is pi. 2nd option is correct
Use the concept of slope to find t such that the three points are collinear. (-8,5) (0,t) (2,-1)
Answer:
t = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Since the points are collinear they lie on the same line.
Thus the slopes between any of the 3 points are equal.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 5) and (x₂, y₂ ) = (2, - 1)
m = [tex]\frac{-1-5}{2+8}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex]
Repeat using
(x₁, y₁ ) = (- 8, 5 ) and (x₂, y₂ ) = (0, t) and equate to previous m
m = [tex]\frac{t-5}{0+8}[/tex] = [tex]\frac{t-5}{8}[/tex] = - [tex]\frac{3}{5}[/tex] ( cross- multiply )
5(t - 5) = - 24 , that is
5t - 25 = - 24 ( add 25 to both sides )
5t = 1 ( divide both sides by 5 )
t = [tex]\frac{1}{5}[/tex]
Find the distance across the lake. Assume the triangles are similar.
85 m
X
у
20 m
60 m
Answer:
B. 255 m
Step-by-step explanation:
use similar triangle
L / 60 = 85 / 20
L = (85 * 60) / 20
L = 255 m
The distance across the lake will be 255 meters. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
In an isosceles triangle, two angles and their opposite sides are equal.
The dimensions of the first triangle are L, 85, and y. And the dimensions of the second triangle are 60, 20, and x.
It is given that the triangles are similar.
Then the ratio of their corresponding sides will be
L / 60 = 85 / 20 = x / y
From first two terms, then the equation will be
L / 60 = 85 / 20
L / 60 = 4.25
L = 4.25 x 60
L = 255 m
The distance across the lake will be 255 meters.
Then the correct option is B.
More about the triangle link is given below.
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Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 11, 7, 3, ... This is_ sequence and the _ is equal to_
the sequence is arithmetic because it's incrementing by a constant ratio of -4
The sequence 11,7,3,... is arithmetic because there is a constant increase of (-4)
Must click thanks and mark brainliest
4(x—8)+10= -10
What is the solution to this equation?
You are looking at your powwr bill for the month, you pay 11 cents per kilowatt hour. your power bill came out to $73.54. how many KWH of energy were used in your house this month?
What is the solution of −83 = b4? A. b = –332 B. b = –87 C. b = –79 D. b = –20.75
Answer:
D; b = -20.75
Step-by-step explanation:
Here in this question, we want to find solution to the given linear equation.
The linear equation is;
-83 = b4
Now, to find the value of b, we will need to divide both sides by its coefficient.
Looking at the question, the coefficient of b is 4
Mathematically, that would be :
-83/4 = b4/4
b = -83/4
b = -20.75
Answer:
b = -20.75
Step-by-step explanation:
Given:
-83 = b4
It can also be written as
-83 = 4b
divide both sides by the coefficient of b which is 4
-83 / 4 = 4b / 4
-20.75 = b
Therefore,
b = -20.75
Check:
-83 = b4
-83 = -20.75(4)
-83 = -83
Help me please i have no idea how to do this
how many are 2 raised to 2 ???
Answer:
[tex]\huge \boxed{4}[/tex]
Step-by-step explanation:
2 raised to 2 is also the base 2 with an exponent of 2.
[tex]2^2[/tex]
2 is squared or multiplied by itself.
[tex]2^2 =2 \times 2 = 4[/tex]
Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.
Answer:
EF = 2 units
Step-by-step explanation:
Given:
Line segment DF and point E on it.
DF = 11 unit
DE = 9 Unit
Find:
EF
Computation:
We know that,
DF = DE + EF
11 = 9 + EF
EF = 11-9
EF = 2 units
bruce and krista are going to buy a new furniture set for their living room. they want to buy a couch, a coffee table, and a recliner. they have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. how many different furniture combinations are possible? PLEASE ANSWER
Answer:
180
Step-by-step explanation:
This is becuase 4*5*9 is equal to 180, to find the total number of combinations, you multiply how many of each there are.
y-3x=13 solve for y ♀️
Answer:
y = 3x+13
Step-by-step explanation:
y-3x=13
Add 3x to each side
y-3x+3x=3x+13
y = 3x+13
The value of y for the given equation y - 3x = 13 is calculated to be y = 3x + 13.
Given that:
y - 3x = 13
It is required to find the value of y.
In order to find the value of y, the equation has to be solved in such a way that y has to be kept on one side.
Consider:
y - 3x = 13
Add 3x on both sides.
y - 3x + 3x = 13 + 3x
y = 13 + 3x
Hence, the value of y is 13 + 3x.
Learn more about Equations here :
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Jimmy is saving money to buy a concert ticket for $155. He has $42 so far and he can save $20 per week. In how many weeks will he have enough money to buy the ticket? Select an equation that could be used to answer the question above. Let W represent the number of weeks. A. 20w + 42 = 155 B. 20w - 155 =42 C. 42w + 20 = 155 D. 155w - 20 = 42
Answer:
The answer for this question is A
A student uses his place value chart to show number after the teacher instructed him to divide a number by 100 the charge of 28.003 what was the chart look like first
Step-by-step explanation:
A student divided the given number by 100 that resulted to 28.003 in his chart. So what we are looking for in the given situation is that the value of the number before it was divided by 100.
To get the desired value, we can simply multiply the obtained result by 100
=> 28.003 x 100
=> 2800.3
So, by dividing 100 to the given number, we simply move the value to the right in a value of hundreds.
A group of 22 students participated in a math competition
(-6127) + _____. = (-6127)
(+18) + _____ = (+20)
(+27) - ____ = (+20)
(+63) + _____= (+50)
(+21) - _____ = (+17)
Answer:
(-6127) + 0 = (-6127)
(+18) + 2 = (+20)
(+27) - 7 = (+20)
(+63) + (-13) = (+50)
(+21) - 4 = (+17)
Step-by-step explanation: