Answer:
1.5 times
Step-by-step explanation:
6.75/4.5 = 1.5
To find out how many times longer Mike's ride was than Noah's, you first need to convert the mixed fractions to improper fractions. Then you divide the length of Mike's ride by Noah's ride length. The result is 1.5, meaning Mike’s bike ride was 1.5 times longer than Noah’s.
Explanation:This problem falls under the category of division of fractions. The question is asking for how many times longer Mike's ride was than Noah's. In order to do this, we must divide the length of Mike's ride by the length of Noah's ride.
First, we convert the mixed fractions to improper fractions. Mike biked 6 3/4 = 27/4 miles, and Noah biked 4 1/2 = 9/2 miles.
To find how many times longer Mike's ride was than Noah's, we divide 27/4 by 9/2. This is equivalent to multiplying 27/4 by the reciprocal of 9/2 (which is 2/9).
When we perform this multiplication, we get (27/4) * (2/9) = (27 * 2) / (4 * 9) = 54 / 36. The result is 1.5, so this means Mike’s bike ride was 1.5 times longer than Noah’s bike ride.
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90+33+what gives us 180?
Answer:90+33 = 123
123-180=77
So 77
Step-by-step explanation:
Answer:
The answer is 77
A rectangular prism is 6 inches long, 3 inches wide, and 2 inches high. What is its volume?
72 in. 3
11 in. 3
36 in. 3
22 in. 3
This may be what you're looking for:
Answer:
36 in.³
Step-by-step explanation:
volume = length × width × height
volume = 6 in. × 3 in. × 2 in.
volume = 36 in.³
The system of equations y=-1/2 x + 4 and y= 2x - 1 is shown on the graph below According to the graph what is the solution to this system of equations?
Answer:
the answer is where the 2 points intersect... A. (2,3)
Step-by-step explanation:
Answer:
The correct option is A.
Step-by-step explanation:
The given system of equations is
[tex]y=-\frac{1}{2}x+4[/tex]
[tex]y=2x-1[/tex]
All the points on a line is are the solutions of the equation of line.
From the graph it is clear that the lines intersect each other at point (2,3). It means both the lines passes through the point (2,3) and point (2,3) is the solution of given system of equations.
Since (2,3) is the solution of given system of equations, therefore the correct option is A.
need help ASAP algebra 2 please !!!
Answer:
The answer is D.
Step-by-step explanation:
This is because the first part of the expression is the conjugate and youre given -5. The second part of the expression is the imaginary part and youre given 4i.
Answer:
C
Step-by-step explanation:
Given a complex number in the form
a + bi then the conjugate is a - bi
Note the real part remains unchanged while the sign of the imaginary part is negated.
Given
- 5 + 4i then the conjugate is - 5 - 4i → C
A trapezoid has based of 15 inches and 7 inches. It’s height is 6 inches. What equation can I use to find the area?
Answer:
A=1/2 h(b1+b2)
Step-by-step explanation:
h being the height and b1 being base one and b2 being base two
An office supply store has five different packages of thumb tacks. Which is the best deal available on thumb tacks at this office supply?
Which expression is NOT equivalent to (a + b)(x + y)? A) (a + x)(b + y) B) (b + a)( y + x) C) (a + b)x + (a + b)y D) a(x + y) + b(x + y)
Answer:
A)
Step-by-step explanation:
The expression (a + b)(x + y) is not equivalent to (a + x)(b + y). When the terms are distributed, (a + x)(b + y) yields a different result compared to the original expression.
Explanation:The expression (a + b)(x + y) is equivalent to a(x + y) + b(x + y) and (b + a)( y + x) because the order of addition in each element doesn't change the overall result. However, the expression (a + x)(b + y) is not equivalent to the original expression.
To understand why, let's distribute the terms in each equivalent expression:
(a + b)(x + y) = ax + ay + bx + by
(b + a)( y + x) = ay + ax + by + bx = ax + ay + bx + by
a(x + y) + b(x + y) = ax + ay + bx + by
As you can see, all these three expressions give the same result when distributed. But, if we now distribute the terms in (a + x)(b + y):
(a + x)(b + y) = ab + ay + bx + xy
It's clear that it does not yield the same result. Thus, option A) (a + x)(b + y) is not equivalent to the original expression (a + b)(x + y).
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given that (-4,-4) is on the graph of f(x), find the corresponding point for the function 1/2 f(x)
Answer:
(-4, -2)
Step-by-step explanation:
The x-coordinate would stay the same, but the y-coordinate would be halved. Thus, the corresponding point would be (-4, -2).
Find the value of each variable
Answer:
The correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Step-by-step explanation:
Points to remember
The angles of a right angled triangle, 30°, 60° and 90° then sides are in the ratio, 1: √3 : 2
To find the value of variables
From the figure we can see 2 right angled triangle with angle 30, 60 and 90
we get, d= 5 then b = 5√3
b = 5√3 the c = 5√3 * √3 = 15
and a = 2 * 5√3 = 10√3
Therefore the correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Answer:
d.[tex]a=10\sqrt3,b=5\sqrt3,c=15,d=5[/tex]
Step-by-step explanation:
We have to find the value of each variable.
[tex]\frac{P}{H}=sin\theta[/tex]
[tex]\frac{b}{10}=sin 60^{\circ}[/tex]
[tex]\frac{b}{10}=\frac}\sqrt3}{2}[/tex]
[tex]b=10\times \frac{\sqrt3}{2}=5\sqrt3[/tex]
[tex]\frac{d}{10}=cos 60^{\circ}[/tex] ([tex]cos\theta=\frac{base}{hypotenuse}[/tex])
[tex]d=\frac{1}{2}\times 10=5[/tex]
[tex]\frac{b}{a}=sin30^{\circ}[/tex]
[tex]\frac{5\sqrt3}{a}=\frac{1}{2}[/tex]
[tex]a=10\sqrt3[/tex]
[tex]\frac{b}{c}}=tan 30^{\circ}[/tex] ([tex]tan\theta=\frac{p}{b}[/tex])
[tex]\frac{5\sqrt3}{c}=\frac{1}{\sqrt3}[/tex]
[tex]c=5\sqrt3\times \sqrt3=15[/tex]
[tex]a=10\sqrt3,b=5\sqrt3,c=15,d=5[/tex]
Hence, option d is true.
Type the correct answer in each box. A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is units. The point (-15, ) lies on this circle.
Answer:
r = 17 units
Step-by-step explanation:
The radius is the distance from the centre (- 7, - 1) to the point on the circle
(8, 7)
Use the distance formula to calculate the radius (r)
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 7, - 1) and (x₂, y₂ ) = (8, 7)
r = [tex]\sqrt{(8+7)^2+(7+1)^2}[/tex]
= [tex]\sqrt{15^2+8^2}[/tex]
= [tex]\sqrt{225+64}[/tex]
= [tex]\sqrt{289}[/tex] = 17 units
I WILL MARK AS BRANLIEST!
Mia is working on projects that require 3 1/2 yards of ribbon per project. Mia has 28 yards of ribbon. What is the greatest number of projects that Mia can complete with this ribbon?
Answer:
8 projects
Step-by-step explanation:
28 : 3,5 = 8
Final answer:
Mia can complete 8 full projects with 28 yards of ribbon by dividing the total yards by the yards needed per project, after converting 3 1/2 yards to an improper fraction (7/2).
Explanation:
The subject of this question is Mathematics, and the question would typically fall under a middle school grade level. To solve the problem about the number of projects Mia can complete, we need to use division. Mia has a total of 28 yards of ribbon and needs 3 1/2 yards of ribbon for each project. By converting the mixed number to an improper fraction, we get 7/2 yards per project; then we can divide the total yards by the yards needed per project.
To calculate how many full projects Mia can complete:
Convert 3 1/2 to an improper fraction: 3 1/2 = 7/2.Divide 28 by 7/2: 28 × 2/7 = 8.Mia can complete 8 full projects with the ribbon she has.
What is the completely factored form of x4 + 8x2 – 9?
ANSWER
[tex] ( {x}^{2} + 9)({x} - 1)(x + 1)[/tex]
EXPLANATION
The given function is
[tex] {x}^{4} + 8 {x}^{2} - 9[/tex]
Split the middle term
[tex] {x}^{4} + 9 {x}^{2} - {x}^{2} - 9[/tex]
Factor by grouping;
[tex]{x}^{2} ( {x}^{2} + 9) -1 ({x}^{2} + 9)[/tex]
Factor further to get:
[tex] ( {x}^{2} + 9)({x}^{2} - 1)[/tex]
Apply difference of two squares to get:
[tex] ( {x}^{2} + 9)({x} - 1)(x + 1)[/tex]
Answer:
[tex](x^2+9)(x-1)(x+1)[/tex]
Step-by-step explanation:
We would need to let u = x^2 and use middle term factorization first. let's do this:
if u = x^2, then x^4 + 8x^2 – 9 would be
u^2+8u-9
Middle term factorization of this is:
(u+9)(u-1)
now replacing back u = x^2:
(x^2+9)(x^2-1)
Using the formula a^2 - b^2 = (a+b)(a-b), we can write (x^2 - 1) as (x+1)(x-1).
So, the final factored form is: (x^2+9)(x-1)(x+1)
uwu pls help :''( i may cry if you don't
Combine the like terms to create an equivalent expression:
−4q−(−8q)+10
1.So, what you do is remove the () from -8q.
2. Time -8q by one and it equals -8q.
3. Combined -4q and -8q, that equals -12q
4. Once you combine them create the equation which will be -12q+10 And that’s your answer because you can’t combine the 10 with any other number because -12q has a q. Hope this helps. And I’m sorry if I’m wrong >_<4q + 10 is the equivalent expression of −4q−(−8q)+10
What is an algebraic expression?An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. For instance, the algebraic formula 3x² + 2xy + c
Given
-4q - (-8q ) + 10
using BODMAS
-4q + 8q +10
4q + 10
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Match the vocabulary word to its correct definition,
1. absolute value
2. continuous function
3. step function
4. piecewise-defined function
function whose graph has no breaks
function whose output equals input for non-negative numbers, and whose output is the opposite of a negative input
function defined on different intervals by different domain rules
function whose graph consists of horizontal line segments
Answer:
function defined on different intervals by different domain rules
hope it helps
The terms absolute value, continuous function, step function, and piecewise-defined function are matched with their respective definitions: the absolute value measures distance from zero, a continuous function has a graph without breaks, a step function has a graph with horizontal steps, and a piecewise-defined function has different rules for different intervals.
Matching Vocabulary to Definitions
Let's match each mathematical term to its correct definition:
Absolute value - This is the function whose output equals the input for non-negative numbers, and whose output is the opposite of a negative input. It can be thought of as the distance from zero on the number line, regardless of direction.
Continuous function - A function whose graph has no breaks is known as continuous. It means you can draw the function without lifting your pen off the paper, indicating it has no jumps or holes.
Step function - Such a function has a graph that consists of horizontal line segments. The value of the function changes in 'steps' rather than smoothly.
Piecewise-defined function - When a function is defined on different intervals by different domain rules, it is known as a piecewise-defined function. It's like having multiple functions strung together each applicable to different parts of the domain.
what is 6.4r−7−2.9 simplified
The simplified expression is 3.5r - 7.
To simplify the expression 6.4r - 7 - 2.9r, first, combine like terms by subtracting the coefficients of 'r'.
This yields (6.4 - 2.9)r. Simplifying the coefficients gives 3.5r. Then, subtract 7. Therefore, the simplified expression is 3.5r - 7.
This means that when you distribute the 'r', you multiply it by 3.5, then subtract 7 from the result.
The simplified expression is 3.5r - 7.
Complete question :- Simplify 6.4r - 7 - 2.9r.
Barry buys a package of pasta for $2.39 and a jar of tomato sauce for $3.09. He uses a $0.75 coupon and a $0.50 coupon.
Answer:$4.23
Step-by-step explanation:
Answer:
4.23 is the answer if its wrong let me know what mistakes i made
What is the slope of the line that contains the points (-1,2) and (3,3)?
Answer:
1/4
Step-by-step explanation:
To find the slope of a line from two points we use
m = (y2-y1)/(x2-x1)
m = (3-2)/ (3--1)
= (3-2)/(3+1)
=1/4
Step-by-step explanation:
A(-1,2) and B(3,3) then AB=(4,1).
Normal vector
n=(-1,4)
Our line contains point A(-1,2) and has normal vector n=(-1,4) is
[tex](d) : - 1(x + 1) + 4(y - 2) = 0[/tex]
[tex](d ): - x - 1 + 4y - 8 = 0[/tex]
[tex](d) : - x + 4y - 9 = 0[/tex]
Use the remainder theorem to divide 5x^2+9x-2 by x+3. what is the remainder?
A)16
B)-44
C)-20
D)40
Answer:
A)16
Step-by-step explanation:
Given
f(x)=5x^2+9x-2
Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).
Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:
f(x)=5x^2+9x-2
f(-3) = 5(-3)^2 +9(-3) -2
=5(9) - 27 -2
= 45-29
= 16 !
Identify the corresponding word problem given in the inequality x less than or equal to 4.50
Answer:
[tex]\boxed{x \leq 4.50}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rrcl}\textbf{Words:} & \text{x} & \text{less than or equal to} & \text{4.50}\\\textbf{Symbols:} & x & \leq & 4.50\\\end{array}[/tex]
Answer:
Step-by-step explanation:
the line passing through point (2, 2) and perpendicular to the line whose equation is y = x
Answer:
[tex]y=-x+4[/tex]
Step-by-step explanation:
We want to find the equation of the line passing through (2,2) and perpendicular to the line with equation y=x.
The given line y=x has slope n=1.
The line that is perpendicular to this line has slope m=-1
The equation is given by the formula;
[tex]y-y_1=m(x-x_1)[/tex]
we plug in the slope and the point to get;
[tex]y-2=-1(x-2)[/tex]
[tex]y-2=-x+2[/tex]
[tex]y=-x+2+2[/tex]
The required equation is
[tex]y=-x+4[/tex]
an original piece of artwork is 3 feet by 2.5 feet. A reprint of the artwork is 6 inches by 5 inches. Are the pieces similiar? If so, what is the ration of their corresponding side lengths?
Answer:
Yes
Explaination:
They are similar and the ratio is still the same. The artwork's shape didn't change we just resized it by multiplyting its length and width by 2.
!!need answer asap!!
solve for x
Answer:
X= 0, X=-3, X=1
Step-by-step explanation:
HEEEEEEELLLLLLPPPPPPPP!!!!!!!!!!
Brian and Ted used the equation 17=d+12 to find d, the money Ted needed so that he had the same amount of money as Brian.
Which equation explains the process Brian and Ted could have used to find d?
A. 17 - 17 = d + 12 - 17
B. 17 + 17 = d + 12 + 17
C. 17 - 12 = d + 12 - 12
D. 17 + 12 = d + 12 + 12
Answer:
C. 17 - 12 = d + 12 - 12
Step-by-step explanation:
You need to get d by itself and in order to do that you need to subtract 12
Find the missing measurements for the rectangle when the area equals 216 and the perimeter equals 66
[tex]\bf \stackrel{\textit{perimeter of a rectangle}}{P=2(L+w)}~~ \begin{cases} L=length\\ w=width\\ \cline{1-1} P=66 \end{cases}\implies 66=2(L+w) \\\\\\ 33=L+w\implies \boxed{33-w=L} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of a rectangle}}{A=Lw}\qquad \implies 216=Lw\implies 216=(33-w)w \\\\\\ 216=33w-w^2\implies w^2-33w+216=0 \\\\\\ (w-24)(w-9)=0\implies w= \begin{cases} 24\\ 9 \end{cases}[/tex]
now, both values are valid, so if "w" is either one, "L" is the other.
What is the value of the expression?
tan π/6
Exact Form: √3/3
Decimal Form: 0.57735026
sorry if i got it wrong, i tried my best on this :)
The value of the expression tan π/6 is √3/3 or approximately 0.5774.
The value of the expression tan π/6 is √3/3 or approximately 0.5774.
To find this value, we can remember that tan θ = sin θ / cos θ. So, tan(π/6) = sin(π/6) / cos(π/6).
Thus, tan(π/6) = (√3/2) / (1/2) = √3/3.
The probability that Yuri will make a free throw is 0.3. The probability that he will make two consecutive free throws is _______. The probability that he will make the first and not the second in two free throws is _______. The probability that he will make neither of the two free throws is _______.
Answer:
1. 0.09
2. 0.21
3. 0.49
Step-by-step explanation:
If the probability that Yuri will make a free throw is 0.3, then the probability that Yuri will not make a free throw is 1-0.3=0.7.
1. The probability that Yuri will make two consecutive free throws is
[tex]0.3\cdot 0.3=0.09[/tex]
2. The probability that he will make the first and not the second in two free throws is
[tex]0.3\cdot 0.7=0.21[/tex]
3. The probability that he will make neither of the two free throws is
[tex]0.7\cdot 0.7=0.49[/tex]
Answer:
0.78
Step-by-step explanation:
Divide: 5/18
Use the diagram below to answer questions 1-3
Answer:
1.) ∠GAC and ∠CAF are complementary and acute angles
2.) 27°
3.) m∠CAG+m∠GAD=180°
Step-by-step explanation:
2.) because you solve for x:
63°+x°=90°
x= 27°
the product of a number and -6 is at least 24. Write an inequality and solve the problem
Answer:
-6x ≥ 24
x = ≤ 4
Step-by-step explanation:
Number = x
The product of the number and -6.
-6x
The product is at least 24.
-6x ≥ 24
Solve the problem
-6x ≥ 24
Divide by -6 and we change the sign
x = ≤ 4
Answer:
Step-by-step explanation:
An apartment complex has 20 apartments. the number of bedroom is represented in the
box-and-whisker plot as shown.
Label all the following values on the box and whisker plot:
Median:____
Lower quartile:___
Upper quartile:___
Minimum:___
Maximum:___
median: 3
lower quartile: approximately 2.25
higher quartile: approximately 4.75
minimum: 0
maximum: 6
hope that helps
Please help I don’t know which one it is
Substitute all values for x and y into their placement
y<1-6x
(1)<1-6(-1)
1<7
The coordinate pair is (-1,1)