Answer: 5<x<35
Step-by-step explanation:
An acute angle ranges from 0 to 90 degrees.
[tex]0 < 3x-15 < 90\\\\15 < 3x < 105\\\\5 < x < 35[/tex]
Yuto left his house at 10 a.m. to go for a bike ride. By the time Yuto’s sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, over what time period in minutes, t, starting from when Riko left the house, will Riko be behind her brother?
The time period that Riko would be behind is going to be the inequality 0 ≤ t < 52.5 minutes .
How to solve the inequalityHow to solve for the period t that Riko would be behind her brother
The question says that at the time he left the house, Yuto was 5.25 miles ahead of her.
The amount of miles that she would have gained on Yuto within this period would be 0.35 - 0.25 = 0.1 miles on Yuto
Therefore at every mile she would be closing in on 0.1 miles
For her to close the gap that is made here, it would be 5.25 / 0.1
= 52.5 minutes
Therefore we would say that The time that Riko would be behind is going to be 0 ≤ t < 52.5 minutes .
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Does (-1,3) make the equation y=-3x. true?
Answer: Yes, the point (-1, 3) makes the equation true.
Step-by-step explanation:
You would need to plug in the coordinates to the following places in the equation.
y=-3x
(3) = -3(-1)
3 = 3
Hope this helps!
Have a great day! :)
-15 < a + 3 + 8a < 12
Answer:
[tex]-2 < a < 1[/tex]
Step-by-step explanation:
-15 < 9a + 3 < 12 (Combine like terms)
-18 < 9a < 9 (Subtraction Property)
-2 < a < 1 (Division Property)
Note that just like solving a linear equation, instead of having two sides, you have three. And, whatever you carry out on one side, you have to carry out on all three.
Although, unlike linear equations, if you are dividing/multiplying all sides with a negative integer, then you have to flip the signs.
The mean of five numbers is 8.2. Four of the numbers are 8, 10, 12 and 10.
Work out the fifth number.
The arity typically assumed to be limited. The "typical" operations of finite dimensionality are referred to as the finiteary operations when infinitary operations are taken into consideration. The mean of the five numbers is 8.2, four of numbers are 8, 10, 12 and 10. The fifth number is 1.025.
What is mathematical operation?An operation, often known as a "operand" or "argument," is the function in mathematics that converts zero or more input values into a clearly defined output value. The operation's arity is determined by number of operands.
Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are operations that are most frequently studied. A constant is operation with arity zero, often known as a nullary operation. An example of operation of arity 3, sometimes known as a ternary operation, is the mixed product.
The arity typically assumed to be limited. The "typical" operations of finite dimensionality are referred to as the finiteary operations when infinitary operations are taken into consideration.
Similar to an operation, but with partial function in place of a function, is the definition of a partial operation.
The mean of five numbers is 8.2. Four numbers are 8, 10, 12 and 10.
Let the number be x,
[tex]\frac{8+10+12+10+x}{5} = 8.2[/tex]
x= 1.025
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HELP LAST ONE
Add (5a³ + 4a² − 3a + 2) and (a³ − 3a² + 3a − 9). Simplify the
answer.
Answer: 6a³ + a² - 7
Step-by-step explanation:
(5a³ + 4a² − 3a + 2) + (a³ − 3a² + 3a − 9)=
5a³ + a³ + 4a² − 3a² - 3a + 3a + 2 - 9=
6a³ + a² - 0 - 7 = 6a³ + a² - 7
Answer:
6a³ + a²-7
Step-by-step explanation:
1. Get rid of the parentheses by distributing them.
(5a³ + 4a² − 3a + 2) + (a³ − 3a² + 3a − 9) = 5a³ + 4a² − 3a + 2 + a³ − 3a² + 3a − 9
2. Add like-terms.
5a³ + 4a² − 3a + 2 + a³ − 3a² + 3a − 9 = 6a³ + a²-7
Evaluate the expression if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2 | 16 + 4 ( 3 q + p )
The evaluation of the expression, if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2 | 16 + 4 ( 3 q + p ) is 46.
How can the expression be simplified?the given expression is t = − 2 | 16 + 4 ( 3 q + p )
Then since we are given m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5
Then, we can substitute all the given values of the terms into the given expression as :
t = − 2 | 16 + 4 ( 3 q + p )
t= -2 I 16+4(-18+2)
t= -2 I 16+4(-16)
t= -2 I 16 -64
t= -2 I -48
t =46
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The following table shows the number of U.S. coins produced by the Denver Mint from the years
2009 to 2011.
Denver Mint Circulating Coin Production
(in millions)
Year Pennies
Nickels Dimes Quarters
If a coin produced by the Denver Mint in 2010 is selected at random, what is the probability that
the coin is a dime?
Answer: 0.187
Step-by-step explanation:
I just did the question
i iam in 4th grade, i need to know 5×395=5×(400×-5)
11975 is value of multiplication .
What does multiplication mean in math?
Multiplication in mathematics is a technique for determining the sum of two or more numbers. It is a fundamental operation in mathematics that we perform frequently.When a single number is added up several times, it is said to be multiplied. A 5 multiplied by a 4 results in 20 (5 + 5 + 5 + 5). The number five was taken, and four additions were made. Due to this, multiplication is occasionally referred to as "times."5×395=5×(400×-5)
1975 = 5 * ( - 2000 )
1975 = - 10000
= 10000 + 1975
= 11975
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15/14 multiplied by 4/3
Answer:
As a fraction, it would be 10/7 or as a number, 1 and 3/7.
asap !! 50 points!!!!!!!!
Which is bigger? Show your work WITHOUT EVALUATING.
A = 3^2/2^3
or
B = 9^4/4^6
please help, it doesn’t let me give 100 points :/
Answer:
B is bigger
Step-by-step explanation:
a) 3^2 / 2^3
3*3 / 2*2*2
9/8
b) 9^4 / 4^6
9*9*9*9/4*4*4*4*4
6561 / 4096
1.601807
I only need the answer for 18 please
The equation of the line parallel to 2x + 3y = 18 and passing through point ( 6, 4) is 3y + 2x = 24.
Consider the line 2x + 3y = 18,
The equation of the line in slope-intercept form can be written in the form y = mx + b, where m is the slope of the line.
Therefore,
2x + 3y = 18
Subtracting 2x from each side
2x + 3y - 2x = 18 - 2x
3y = 18 - 2x
Dividing each side by 3.
y = 6 - ( 2/3 )x
y = - (2/3)x + 6
Hence, the slope of the line is - 2/3.
Now, if two lines are parallel then they have the same slope.
Now, the line parallel to 2x + 3y = 18 passes through ( 6,4).
Therefore, using the slope-intercept form:
y = mx + b
4 = ( -2/3 ) × 6 + b
4 = - 4 + b
b = 8
Therefore, the equation of the line parallel to 2x + 3y = 18 is:
y = ( - 2/3 )x + 8
3y = - 2x + 24
3y + 2x = 24
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please help i need this in an hour is it right or not
Answer:
c 6√5 - 4√5
Step-by-step explanation:
your answer is correct
6(a) +4 a=1/3
PLEase HELP ME
ASAPP!!!
Answer:
a=1/30
Step-by-step explanation:
6a+4a=1/3
10a=1/3
30a=1
a=1/30
1/30
is the anwser i think.i might be wront tho
Is our divisor a whole number? 13.5 divided by 0.03 [Powers of 10 - What should you multiply by to get a whole number?]
No, the divisor 0.03 is not a whole number, we should multiply by 10² to get a divisor a whole number.
As given in the question,
Given expression:
13.5 divided by 0.03
Dividend of the given expression = 13.5
Divisor of the given expression = 0.03
No, the divisor 0.03 is not a whole number.
Power of 10 which should be multiply by 0.03 to get a whole number
0.03 = 3 /100
(3/100) should get multiply by 100
100 = 10²
0.03 ×10² =3 whole number
Therefore, the divisor 0.03 is not a whole number, we should multiply by 10² to get a divisor a whole number.
The complete question is:
Is our divisor a whole number? 13.5 divided by 0.03 . By what powers of 10 should you multiply by to get a whole number?
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Solve for the variable k
The equation m/k = x solved for k will be k = m / x.
What are variables?variable, in algebra, a symbol (usually a letter) that represents an unknown numerical value in an equation. Commonly used variables are x and y (real unknowns), z (complex unknowns), t (time), r (radius), and s (arc length).
There are two types of variables in math:
dependent independent variablesIn mathematics, a variable is an alphabet or term that represents an unknown number or an unknown value or an unknown quantity. Variables are used especially in algebraic expression or algebra. For example, x 9=. is a linear equation where x is a variable, where 9 and are constants.
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A series circuit has two resistors having the values of R1= 200 and R2= 300, with a source of 300 V. Compute for the following.
Answer: R1=0
Step-by-step explanation:
R1 = 200 divide R1 = 200 by 2 = R1 = 0
How many times larger than 6 x 10^-2 is 24 x 10^6?
Lesson 6-2practice and problem solving A/B
fiften tickets cost $193.75 what is the average cost of each ticket
Answer:
Step-by-step explanation: do 193.75 divided by 15
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 find the interquartile range
The interquartile range for the given set of numbers {0,2,4,6,8,10,12,14,16,18,20} is 12 .
The interquartile range(IQR) can be calculated by the formula
IQR = Q₃ - Q₁
where Q₃ is the third quartile
and Q₁ is the first quartile
In the question,
the set of numbers is ascending order is given as
0,2,4,6,8,10,12,14,16,18,20
Q₃ means median of the upper half
the upper half of the data is 12,14,16,18,20
the median of the upper half is 16 ,
So Q₃ = 16 .
Q₁ means median of the lower half
the lower half of the data is 0,2,4,6,8
the median of the lower half is 4 ,
So Q₁ = 4 .
Hence , the IQR = Q₃ - Q₁ = 16-4 = 12 .
So, IQR for given set of numbers is 12.
Therefore , the interquartile range for {0,2,4,6,8,10,12,14,16,18,20} is 12 .
The given question is incomplete , the complete question is
Find the Interquartile range for the given set of numbers 0,2,4,6,8,10,12,14,16,18,20 .
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Hi, could someone please help me with this thanks I don’t understand how they got this
First, we need to know the units they used. For every hectare, there are 2.47105 acres.
Next, we can set up a proportion to solve.
[tex]\displaystyle \frac{\text{\$8,963}}{1 \;acre} =\frac{\text{\$x}}{2.47105 \;acres}[/tex]
Now, we will cross-multiply:
$8,963 * 2.47105 = x
x ≈ $22,148
I was $10 from the answer they ended up with, so I most likely used a different conversion unit factor than they did. However, the steps are still the same.
Pls help step by step
Answer:
25
Step-by-step explanation:
the tens cancle each other out
Find the slope and write an equation of the line which passes through the points.
b
(−3, 9) and (−3, −5)
Answer:
Slope: 0
Equation : y = 9
Plsss mark as Brainliest
Slope:
-5-9/-3+3
=-14/0
= 0
Equation:
input gradient and pair of x and y valuesin y = mx +c
9= 0(-3)+c
9 = 0 +c
c = 9
input gradient and c:
y = 9
What is 2/2-6*23 Please answer this question.
The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.
Note that the rational numbers represented on points- P, Q, R, and S are given as follows: 7/3, 8/3, -4/3, -5/3 respectively. See the explanation below.
What is a rational number?A rational number is defined in mathematics as the proportion or fraction p/q of two integers, a numerator p, and a non-zero denominator q. 3/7, for example, is a rational number, as is every integer.
For the solution above:
Each section in between two numbers is broken into three sections.
Thus, we have a = (6/3), P = (7/3), Q = (8/3) and B = (9/3)
In the same way,
T = = -3/3,
R = -4/3
S = -5/3 and
U = -6/3
Therefore, the rational numbers represented - P, Q, R, and S are given as follows: 7/3, 8/3, -4/3, -5/3.
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The coordinates of quadrilateral JKLM are J (1,3), K(3, 1), L (-1, -3) and M(-3,-1). What is the perimeter of quadrilateral JKLM?
the coodrinates of JKLM is,
J(1,3) , K(3,1), L(-1,-3) and M(-3,-1)
the length JK is ,
[tex]\begin{gathered} JK=\sqrt[]{(1-3)^2+(3-1)^2} \\ =\sqrt[]{4+4} \\ =\sqrt[]{8} \\ =2\sqrt[]{2} \end{gathered}[/tex]length KL is,
[tex]\begin{gathered} KL=\sqrt[]{(-3-1)^2+(-1-3)^2} \\ =\sqrt[]{16+16} \\ =\sqrt[]{32} \\ =4\sqrt[]{2} \end{gathered}[/tex]Length LM is,
[tex]LM=\sqrt[]{(-3-(-1))^2+(-1-(-3))^2}[/tex][tex]\begin{gathered} LM=\sqrt[]{4+4} \\ LM=2\sqrt[]{2} \end{gathered}[/tex]length MJ
[tex]\sqrt[]{(-1-3)^2+(-3-1)^2}[/tex][tex]\begin{gathered} MJ=\sqrt[]{16+16} \\ MJ=4\sqrt[]{2} \end{gathered}[/tex]so, the perimeter = sum of sides,
= JK + KL + LM + MJ
= 2 root 2 + 4root2 + 2root2 + 4root2
= 12 root 2
thus, the perimeter is 12 root 2
It is -24° tonight, but the weather reporter predicted it would be 16° warmer tomorrow.
What will the temperature be tomorrow?
Answer:
-8°
Step-by-step explanation:
-24+16=-8
Please help will give brainliest B
what is the solution for this inequality -13x<65
Step-by-step explanation:
-13x < 65
-13x * -1 < 65 * -1
13x > -65
13x/13 > -65/13
x > -5
Hope this helps! :)
(X+3)/6=5/4 find x
A-27/4
B-18
C-9/8
D-9/2
Answer:
d
Step-by-step explanation:
(x+3)/6 = 5/4
butterfly method
4(x+3) = 5×6
4x+12 = 30
4x = 30-12
4x = 18
x = 18/4
x = 9/2
Solve the proportion.
I WILL USE CROSS MULTIPLICATION
[tex]63(4x) = 84(12) \\ 63(4x) = 1008 \\ \frac{63(4x)}{63} = \frac{1008}{63} \\ 4x = 16 \\ \frac{4x}{4} = \frac{16}{4} \\ x = 4[/tex]
ATTACHED IS THE SOLUTION