Answer:
Step-by-step explanation:
I think not because if a series of true conditional statements then it won't lead to a false conclusion
Solve for a.
Give an exact answer.
3+0.5(4a+8)=9-2a
The value of a for which 3 + 0.5(4a + 8) = 9 - 2a is 1/2
What is a linear equation?A linear Equation is an Algebraic equation with the highest degree of the variable as 1.
Linear equations when plotted on a graph results to straight line graphs.
3 + 0.5(4a + 8) = 9 - 2a
Opening of bracket by multiplying the two terms in the bracket by 0.5
3 + 2a + 4 = 9 - 2a
collecting like terms
2a + 2a = 9 - 7
4a = 2
a = 2/4
a = 1/2
In conclusion, the value of a for the given equation is a = 1/2
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What is the equation of the line, in point-slope form, that passes through the given point and has the given slope?
Point: (4, -6) Slope: m = -3
A:y-6=-3(x+4)
B:y-x=-3(-6-4)
C:y-4=-3(x+6)
D:y+6=-3(x+4)
2 Sue is x years old. She is over 2.
Ben is twice as old as Sue.
Ceri is 4 years older than Sue.
The total of their three ages is less than 28.
a Write this information as an inequality.
b What age could Sue be?
c What are the corresponding ages of Ben and Ceri?
a. x < 2
b. Sue's age = 4
c. Ben's age = 8 and Ceri's age = 16
How to solve Ages problems ?
- If the present age is y, then n times the present age = ny.
- If the present age is x, then age n years later/hence = x + n.
According question,
Sue = x
She is over 2, so Sue = x+2
Ben age is twice as old as Sue,
so, Ben = 2(x+2)
Ceri is 4 years older than Sue.
so, Ceri = 4(x + 2)
The eq. will form as,
(x+2) + 2(x+2) +4(x+2) < 28
=> x + 2 + 2x+ 4 + 4x + 8 < 28
=> 7x < 28 - 14
=> 7x < 14
=> x < 2
Sue age = x + 2 = 2 + 2 = 4
Ben's age = 2( x + 2) = 2(2 + 2) = 8
Ceri's age = 4(x + 2) = 4(2 + 2) = 16
Therefore, the answer of a. x < 2
b. Sue's age = 4
c. Ben's age = 8 and Ceri's age = 16
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Ten out of every 32 people survey to play Amung us. what percent of people surveyed play amung us
2) The midpoint M of line segment AB has coordinates (-3, 4). If A is the origin (0.0),
what are the coordinates of point B? (The use of the accompanying grid is optional)
Step-by-step explanation:
the coordinates of the midpoint between points A and B are
((xa + xb)/2, (ya + yb)/2)
in our case that is (-3, 4).
xa = 0
ya = 0
so we get
-3 = (0 + xb)/2
-6 = 0 + xb = xb
4 = (0 + yb)/2
8 = 0 + yb = yb
B = (-6, 8)
(-9√2) (4√6) in simplified form?
-72√3 is the simplified form .
What is the most basic form example?The term "reduced form" refers to the fraction's simplest form. As an illustration, the simplest form of a fraction with a common component of 1 is 34 However, while 2/4 can be further condensed and expressed as 12, it is not the most basic form.
What is the most basic radical form?Simply put, simplifying a radical eliminates the need to find any more square roots, cube roots, fourth roots, etc. when expressing it in its simplest radical form. Furthermore, it entails eliminating any radicals from the denominator of a fraction.
=> (-9√2)(4√6)
= −9√2*4√6
= -9*4√2*6
= -9*4√12
= -9*4*2√3
= -72√3
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-14 + 3d = 13 what is d
how do you show a number with a decimal side repeating like 23.3333333333…
i’m slow mb guys i didn’t pay attention in 6th grade so 7th and 8th have been
Answer:
You can write 23.3 with a dot on the three after the decimal point
3x+3y=−x+5y Which ordered pair is a solution of the equation?
First simplify the equation.
3x+3y= -x+5y
4x=2y
2x=y
y=2x
Means that the y value is 2 times the x value.
answer: (1,2) and (2,4) but there are more solutions
Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks made line plots from the data recorded.
For given two state parks Elm Grove and Cathedral Rock, the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
Here, we have been given two state parks Elm Grove and Cathedral Rock. Each recorded the number of visitors to the park each day for 15 days.
We were given line graphs of this data.
We have to choose the correct statements about the two plots.
For Elm Grove Park,
Maximum number of visitors: 350
Minimum number of visitors: 50
Range of visitors per day,
350-50 = 300
And in case of Cathedral Rock Park,
Maximum number of visitors 600
At least 300 visitors and the range of visitors per day is 600-300 = 300
This means that the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
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Will give brainliest
A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left. The diagram represents the situation. How many markers were originally in each box?
Answer:
45
Step-by-step explanation:
90/3=x-15
30=x-15
45=x
check
45-15=30
30*3=90
Answer:
45
Step-by-step explanation:
-3x-3y=3 y=-5x-17 its solving a question using subsitution
The required solutions are x = - 4 and y = 3 to the given linear system of equations. which are determined by the substitution method.
The linear system of equations is given in the question
-3x - 3y = 3 ....(i)
y = -5x - 17 ....(ii)
Substitute the value of equation (ii) in equation (i),
-3x - 3(-5x - 17) = 3
-3x - 3 ×-5x - 17 × -3 = 3
-3x + 15x + 54 = 3
Rearrange the terms likewise and apply the arithmetic operation,
12x + 51 = 3
12x = -48
x = -48/12
x = - 4
Substitute the value of x = - 4 in equation (ii), and solve for y
y = -5(-4) - 17
y = 20 - 17
y = 3
Thus, the required solutions are x = - 4 and y = 3 to the given linear system of equations.
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3. You can paint 14 feet in 4 minutes and your friend can paint 18 feet in 6
minutes. How many feet total can you and your friend paint in 22 minutes?
Answer:
You and your friend can paint 143 feet in 22 minutes.
Step-by-step explanation:
14/4 to find the unit rate. The unit rate is 3.5.
Multiply 3.5 by 22 to get 77.
18/6 to find the unit rate. The unit rate of this is 3.
Multiply 3 by 22 to get 66.
Add the two amounts together to get the total amount.
143.
Please mark Brainliest!
Answer:
143
Step-by-step explanation:
Mrs. Anderson bought $17.01 worth of ribs (r) and chicken (c). Ribs cost $1.89 per pound and chicken costs $0.90 per pound.
Write the equation that would represent this situation.
Pls hurry‼️‼️
Answer:
Step-by-step explanation:
17.01 = 1.89(r) + 0.90(c)
Which sequences of transformations could map rectangle A
onto rectangle B? Select all that apply.
A A 90° clockwise rotation around the origin, followed by a
translation to the left
B A dilation with a center of dilation at the origin, followed
by a translation down and a translation to the left
C A reflection across the x-axis, followed by a dilation with a
center of dilation at the origin and a translation to the left
B
-2
D A reflection across the y-axis, followed by a translation down and a dilation
with a center of dilation at the origin
E A 180° rotation around the origin, followed by a dilation with a center of
dilation at the origin, a translation down, and a translation to the left
The sequence of transformations of rectangle A onto rectangle B is
B) A dilation with a center of dilation at the origin, followed by a translation down and a translation to the left.
What is transformation in graphs?The graph's curve "moves to the left/right/up/down," "it expands or compresses," or "it reflects" when a function is transformed. For instance, simply advancing the graph of the function g(x) = x2 by 3 units will yield the graph of f(x) = x2 + 3. Function transformations are very useful for graphing the functions by simply moving, expanding, compressing, or reflecting the curve, as opposed to having to start from scratch with the graphing.
A function transformation "moves," "resizes," or "reflects" the parent function's graph, depending on the case. Function transformations can be broadly divided into three categories:
TranslationDilationReflectionLearn more about transformation
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Tom jarred 12 liters of jam after 2 days. How many days does Tom need to spend making jam if he wants to jar 24 liters of jam in all? Solve using unit rates.
PLS HELP
Answer:
4 days
Step-by-step explanation:
→ Find how much in 1 day
12 ÷ 2 = 6 litres in 1 day
→ Divide by 24
24 ÷ 6 = 4 days
1,000,000,000×40,000
1,000,000,000 x 40,000
This can be made easy if the numbers are expressed in standard form
[tex]\begin{gathered} 1,000,000,000=1X10^9 \\ \end{gathered}[/tex][tex]40,000=4X10^4[/tex]=>
[tex]1,000,000,000X40,000=1X10^9X4X10^4[/tex]=>
[tex]\begin{gathered} 4X10^{9\text{ + 4}} \\ \\ 4X10^{13} \\ \\ 4X10^{13}\text{ = 40, 000, 000, 000, 000} \\ \end{gathered}[/tex]Grammy Wolf has 7 coins in his pocket worth 65 cents how many quarters dimes and nickels does he have?
please help asap thank u so much
Answer: 2 quarters, 1 dime, 1 nickel
Step-by-step explanation: 2 quarters= 25+25=50, 1 dime=10, 1 nickel=5
50+10+5=60
PLEASE HELPPPPP DUE IN A BIT
For the function f(x) and the given domain: {-1, 0, 1}, the range is {-8, -1, 6}
What is the range of the function?
For a function y = f(x), we define the domain as the set of the inputs (possible values of x) and the range as the set of the outputs (possible values of y).
In this case, the function is:
y = 7x - 1
And the domain is: {-1, 0, 1}
By evaluating ni the values of the domain, we will get the values of the range.
if x = -1, then:
y = 7*(-1) - 1 = -8
if x = 0, then:
y = 7*0 - 1 = -1
if x = 1, then:
y = 7*1 - 1 = 6
Then for the given domain and function, the range is:
R: {-8, -1, 6}
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C is the point (1;-2) .The point D lies in the second quadrant and has coordinates (x;5) . If the Length of CD is the square root of 53 units , determine the value of x
The value of x would be -1 and the point D lies in the second quadrant and has coordinates (-1, 5).
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places represents their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.
The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².
We have been given as C is the point (1, -2)
The point D lies in the second quadrant and has coordinates (x, 5)
The Length of CD is the square root of 53 units.
Length of CD = √ (x – 1)² + (5 – (-2)) ²
√(53) = √ (x – 1)² + (5 – (-2))²
53 = (x – 1)² + (5 + 2)²
53 = x² - 2x + 1 + 49
x² - 2x -3 = 0
x = 3, -1
Since D lies in the second quadrant, so x-coordinate will be negative.
Therefore, the value of x would be -1.
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What is 18(54)+72(929)?
EXPLANATION
Given the operation 18(54)+72(929), by applying the distributive property:
= 972 + 66,888
Adding numbers:
= 67,860
The solution is 67,860
Margot goes to the store to buy curtains without measuring the lenght of her windows. she guesses the windows are 36 inches in length. when she gets home she measures and finds they are 40 inches in length.what is the percent error of her guess.
Answer:
The percent error is 10%
Step-by-step explanation:
The lengh of the windows are 40 inches, which is the 100% of the lengh.
What you have to do is to put 40 and 100 in a proportion with her guess, which is 36:
40 / 100 = 36 / x
so you do: (100 x 36) / 40 = 90%
This means that the percent error of her guess is 100% - 90% = 10%
Which of the following does NOT represent the distance a car travels when going 75 miles per hour
PLS HELP I WILL MARK BRAINLIEST
The answer is D which does not represent the distance a car travels when going 75 miles per hour. 1 Hour and 15mins a car travels 93 3/4 miles
How to calculate distance?Use the formula d = st, or distance equals speed times time, to find the distance. Since both represent a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable. If speed s and rate r are equal, then r = s = d/t.Speed is calculated as Distance x Time.Time is determined using the formula Time = DistancexSpeed.Distance is calculated as Distance = Speed x Time.Distance divided by time equals speed. Simply explained, it would look like this after traveling 60 kilometers in one hour: Distance (60 kilometers) divided by time (1 hour) equals 60 km/h.To learn more about Distance refer to:
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Given f(x) = x² - 10x + k, and the remainder when f(x) is divided by x + 2 is
32, then what is the value of k?
The value of k is [tex]8[/tex]
Given that f(x) = [tex]x^{2} -10x+k[/tex] and when it is divided by [tex]x+2[/tex] it gives us the remainder as [tex]32[/tex]
now we know that Divident=Divisor*quotient+remainder...(1)
Now since the quotient is [tex]x+2[/tex]remainder [tex]32[/tex] and we don't know the divisor while the divident is [tex]x^{2} - 10x + k[/tex]
hence putting the values of divident, divisor, quotient, and the remainder in (1)
we get
[tex]x^{2} - 10x + k=divisor*(x+2)+32[/tex]
using the remainder theorem put [tex]x+2=0[/tex] which gives us the value of x as [tex]-2[/tex]
Now put [tex]x=-2[/tex] in f(x) that is find the value of f(x) at [tex]x=-2[/tex] that is find[tex]f(-2)[/tex]and put that value equal to the remainder which is [tex]32[/tex] in our case
Hence according to the remainder theorem;
[tex]f(-2)=(-2)^2-10(-2)+k=32[/tex]
[tex]4+20+k=32[/tex]
[tex]24+k=32[/tex]
on solving we get a value of k as [tex]8[/tex]
Hence the value of k is [tex]8[/tex]
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If f(x) = 3x – 2 and g(x) = 2x + 1, find (f + g)(x).
Put your answer in standard form with no spaces.
The value of the composite function (f + g)(x) is 5x - 1
How to evaluate the function?The functions are given as
f(x) = 3x - 2
g(x) = 2x + 1
The composite function definition is given as
(f + g)(x)
This composite function is calculated using the following composite function formula
(f + g)(x) = f(x) +g(x)
Substitute the known values in the above equation
So, we have the following equation
(f + g)(x) = 3x - 2 + 2x + 1
Evaluate the like terms
(f + g)(x) = 5x - 1
Hence, the composite function is (f + g)(x) = 5x - 1
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in a set of 3 randomly selected people, what is the probability that at least two people were born on the same day of the week? round your answer to three decimal places.
19/49 = 0.388
Probability at least two were born on the same day of the week = 1 - probability of all three people were born on different days of the week
Probability of three random people born on different days of the week = 7/7 x 6/7 x 5/7 = 30/49
Probability that at least two were born on the same day of the week = 1 - 30/49 = 19/49 = 0.388
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The customers at the bank would like to withdraw money from the automated teller machine. Help them enter their personal ID numbers by completing the numeric patterns.
0, 1, 3, 6, 10, 15, 21,
We see here, from the first number to the second number, we add 1.
From the second number to the third number, we add 2.
From the third number to the fourth number, we add 3, so on and so on.
Therefore, the pattern is : From the second gap moving on, the addition moves up 1.
So, we can continue the pattern by adding 7,8,9,10,etc.
-> 0,1,3,6,10,15,21,28,36,45,55,66,78,91,...
The area of a circle is 1217 in². What is the
circumference, in inches? Express your answer in
terms of T.
Answer:
Your answer is [tex]T= 123.665974[/tex] inches
Write 84000 in standard form
Answer: 8.4000
Step-by-step explanation:
Answer: Or i could be 8.4 × 104
Step-by-step explanation: You multiply this and get 840000 or 8.4000
a line is drawn perpendicular to y=(1/2)x+6 and passes through the points (b,1) and (-3,2). what is the value of b
Answer:
[tex]{ \tt{y = \frac{1}{2} x + 6}} \\ [/tex]
- If two lines areperpendicular, their gradients have a relation below;
[tex]{ \tt{m_{1} \times m _{2} = - 1 }} \\ [/tex]
- Therefore, gradient for points (b, 1) and (-3, 2);
[tex]{ \tt{ \frac{1}{2} \times m _{2} = - 1}} \\ \\ { \tt{m = - 2}}[/tex]
- Therefore:
[tex]{ \tt{ - 2 = \frac{2 - 1}{ - 3 - b} }} \\ \\ { \tt{ - 2( - 3 - b) = 1}} \\ \\ { \tt{6 + 2b = 1}} \\ { \tt{2b = - 5}} \\ { \tt{b = - \frac{5}{2} }}[/tex]
