Answer:
x + (12x16) = 274
Step-by-step explanation:
each package = 12
16 packages
16x12= 192
x + 192 = 274
274-192=82
x = 82
The function to model the size of Sabrina’s collection is x + (12× 16) = 274.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Total cards = cards
Each package = 12
let the size of Sabrina collection be x
Then, x + (12× 16) = 274
x + 192 = 274
x = 274- 192
x= 82
Hence, the function to model the size of Sabrina’s collection is x + (12× 16) = 274.
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we you please help me
Plz help I will give brainliest
Answer:
#8. M = -8/9
#9. M = 3/5
The perimeter of a triangular garden is 72 feet. Find the length of the three sides if the middle length side is 4 feet greater than twice the length of the smallest side, and the longest side is 4 feet less than 3 times the length of the smallest side
Answer:
Smallest length side = 12 ft
Middle length side = 28 ft
Longest length side = 32 ft
Step-by-step explanation:
Perimeter of ∆ = sum of all its length sides
Thus, we are given that:
Perimeter = 72 ft
Let x represent the smallest length side. Therefore:
Smallest length side = x ft
Middle length side = (2x + 4) ft
Longest length side = (3x - 4) ft
Thus:
(2x + 4) + (3x - 4) + x = 72
Solve for x
2x + 4 + 3x - 4 + x = 72
Collect like terms
2x + 3x + x + 4 - 4 = 72
6x = 72
Divide both sides by 6
x = 72/6
x = 12
Find the length of all 3 sides by plugging in the value of x in each expression:
Smallest length side = x ft = 12 ft
Middle length side = (2x + 4) ft = (2(12) + 4) = 24 + 4 = 28 ft
Longest length side = (3x - 4) ft = (3(12) - 4) = (36 - 4) = 32 ft
Multiply. 5/6 x 3/10 write your answer in simplest form.
Answer: 1/4 or 0.25
Step-by-step explanation:
If you have any more problems just use ”Mathaway”. I hope this helps!
DEF=XYZ
Which other congruence statements are true?
SELECT ALL THAT ARE TRUE, THERE IS MORE THAN ONE CORRECT ANSWER.
WILL MARK BRAINLIEST
Part 1:
Graph the following system of equations. What is the solution set?
2x + y = 3
x = 2y - 1
Part 2:
Solve the following system of equations by substitution. What is the solution set?
y = -2x + 3
x - 2y = - 1
Part 3:
Compare the systems of equations and their solutions in Parts 1 and 2. How are they similar? How are they different?
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include the graph of the linear system of equations and the process followed in order to solve the system by substitution.
Answer:
Part 1:
The solution set of the system of equations is x = 1, y = 1
Part 2:
The solution set is x = 1, y = 1
Part 3:
The similarity of the system of equations in Parts 1 and 2 is that they have the same solution set
The difference of the system of equations in Parts 1 and 2 is that they are arranged differently
Step-by-step explanation:
Part 1:
The system of equation is given as follows;
2·x + y = 3...(1)
x = 2·y - 1...(2)
The above system of equations can be written in terms of the variable, y, as follows;
For equation (1), we have;
y = 3 - 2·x
For equation (2), we have;
y = (x + 1)/2
From the attached graph created with Microsoft Excel, we have;
The solution set (the point of intersection) of the system of equations is x = 1, y = 1
To accurately find the common solution, we have;
(x + 1)/2 = 3 - 2·x
x + 1 = 2·(3 - 2·x) = 6 - 4·x
x + 1 = 6 - 4·x
x + 4·x = 6 - 1
5·x = 5
x = 5/5 = 1
x = 1
Therefore, y = 3 - 2·x = 3 - 2× 1 = 1, at the common solution
Part 2:
y = -2x + 3
x - 2y = -1
∴ x = 2y -1
y = -2(2y -1) + 3
y = -4y + 2 + 3
5y = 5
y = 1
x = 2y - 1 = 2 - 1 = 1
x = 1
The solution set is x = 1, y = 1
Part 3
The system of equations are similar in terms of their solution
The system of equations are different in terms of their arrangement
Answer:
put the first answerer as brainliest, i just saw no one else has answered this.
Step-by-step explanation:
Help please:))))))))))))))))))))
Answer:
option 4; 0
Step-by-step explanation:
[tex]f(x) = \left \{ {{2x + 7; x<1 } \atop {10 - 5x; x \geq 1}} \right.[/tex]
Substitiute in "2" for "x".
Since "2" is greater than "1", then the second equation must be used.
Substitute in "2" of "x".
10 - 5x
10 - 5 * 2
10 - 10
0
Option 4 is 0.
Explain how to multiply the following whole numbers 21 x 14
Answer:
[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]
________
[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]
Step-by-step explanation:
Given
[tex]21\:\times \:14[/tex]
Line up the numbers
[tex]\begin{matrix}\space\space&2&1\\ \times \:&1&4\end{matrix}[/tex]
Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)
Multiply the top number by the bolded digit of the bottom number
[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]
Multiply the bold numbers: 1×4=4
[tex]\frac{\begin{matrix}\space\space&2&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&4\end{matrix}}[/tex]
Multiply the bold numbers: 2×4=8
[tex]\frac{\begin{matrix}\space\space&\textbf{2}&1\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}[/tex]
Multiply the top number by the bolded digit of the bottom number
[tex]\frac{\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}[/tex]
Multiply the bold numbers: 1×1=1
[tex]\frac{\begin{matrix}\space\space&\space\space&2&\textbf{1}\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&\space\space&1&\space\space\end{matrix}}[/tex]
Multiply the bold numbers: 2×1=2
[tex]\frac{\begin{matrix}\space\space&\space\space&\textbf{2}&1\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&2&1&\space\space\end{matrix}}[/tex]
Add the rows to get the answer. For simplicity, fill in trailing zeros.
[tex]\frac{\begin{matrix}\space\space&\space\space&2&1\\ \space\space&\times \:&1&4\end{matrix}}{\begin{matrix}\space\space&0&8&4\\ \space\space&2&1&0\end{matrix}}[/tex]
adding portion
[tex]\begin{matrix}\space\space&0&8&4\\ +&2&1&0\end{matrix}[/tex]
Add the digits of the right-most column: 4+0=4
[tex]\frac{\begin{matrix}\space\space&0&8&\textbf{4}\\ +&2&1&\textbf{0}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{4}\end{matrix}}[/tex]
Add the digits of the right-most column: 8+1=9
[tex]\frac{\begin{matrix}\space\space&0&\textbf{8}&4\\ +&2&\textbf{1}&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{9}&4\end{matrix}}[/tex]
Add the digits of the right-most column: 0+2=2
[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]
Therefore,
[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]
________
[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]
Use the FOIL Method to find (w+9)(w+6).
52 points
Answer:
w^2+15w+54
Step-by-step explanation:
(w+9)(w+6)
w^2+9w+6w+54
w^2+15w+54
Answer:
w^2 + 15w + 54
Step-by-step explanation:
Which percent is equivalent to 2.5?
Answer:
250%
Step-by-step explanation:
1.0 = 100%
2.0 = 200%
0.5 = 50%
Therefore, 2.5 = 250%
I’m stuck in this question
Answer:
2x+6=100(being vertically opposite angle)
2x=100-6
2x=94
x=94/2
x=47
f(x)=x²+4x-7 determine the vertex
Answer:
The vertex of this parabola is [tex](-2,-11)[/tex]
Step-by-step explanation:
One way of finding the x-coordinate of the vertex of a parabola is by using the equation [tex]-\frac{b}{2a}[/tex]
From the function [tex]f(x)=x^2+4x-7[/tex], we can see that
[tex]a=1\\b=4\\c=-7[/tex]
This means that
[tex]-\frac{b}{2a}=-\frac{4}{2(1)} =-2[/tex]
So, the x-value of the vertex is -2. Now, we can plug this x-value into the function to find the y-coordinate of the point.
[tex]f(x)=x^2+4x-7\\\\f(-2)=(-2)^2+4(-2)-7\\\\f(-2)= 4-8-7\\\\f(-2)=-11[/tex]
Thus, the vertex of this parabola is [tex](-2,-11)[/tex]
multipy or divide -3 * -6
Answer:
18 if you multiply
Step-by-step explanation:
Answer:
multiply
Step-by-step explanation:
The * sign is a way to show multiplication so that the "x" variable isn't mistaken for you to multiply or vice versa.
-3 * -6 = 18 because a negative number times a negative number has the sum of a positive number.
The expression-7y is a
Ok What is the Question?
James completely covered a square poster board using 68.2 inches with an exponent of 2.of cardstock. Which measurement is
closest to one side of the poster board in inches?
A) 34 in.
B) 8 in.
C) 6 in.
D) 30 in.
Answer:
A. 34in
Step-by-step explanation:
If James completely covered a square poster board using 68.2 inches with an exponent of 2, the the total perimeter of the square will be;
P = 2(68.2) = 136.4in
Since the perimeter of a square is expressed as:
P = 4L
136.4 = 4L
L = 136.4/4
L = 34.1in
Hence the measurement of one side of the square poster is closest to 34in
Write the equation of the line through (5,9) and (5, -3)
Answer:
undefined
Step-by-step explanation:
This is a vertical line and cannot be written in any form.
A triangle has sides of lengths 3.2 cm, 4.8 cm and 3.6 cm. Find the ratio of the lengths of the sides to one another
Answer:3/2
Step-by-step explanation:
i just had this on a test a triangle always equals this
The ratio of the lengths of the sides to one another is 0.8:1.2:0.9.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, a triangle has sides of lengths 3.2 cm, 4.8 cm and 3.6 cm.
The ratio of the lengths is 3.2:4.8:3.6
= 1.6:2.4:1.8
= 0.8:1.2:0.9
Therefore, the ratio of the lengths of the sides to one another is 0.8:1.2:0.9.
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What is the value of x?
Answer:
x=60
Step-by-step explanation:
the angle size is half the size of 120 if you draw it out with protractor it will come out to be an angle measurement of 60
I think of a number, double it and subtract 1 and then square the answer. The result is 64. What could the number be?
If you doubled an unknown number and subtract 1 and then square the answer to get 64, the unknown number is 4.5.
Let the unknown number be n.Given the following data:
Output = 64To find an unknown number:
In this exercise, you're required to solve for an unknown number while performing some arithmetic operations such as multiplication, subtraction and square.
Translating the word problem into an algebraic expression, we have;
Doubling the unknown number, we would multiply by 2:
[tex]2n[/tex]
Subtracting 1 from the above and squaring, we have:
[tex](2n-1)^2 = 64\\\\2n-1=8\\\\2n =8+1\\\\2n=9\\\\n=\frac{9}{2}[/tex]
n = 4.5
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Find a solution for the equation. Assume that all angles are a cute angles. tan(3Y +32) = cot(Y+32°)
9514 1404 393
Answer:
Y = 6.5°
Step-by-step explanation:
We know that tan(x) = cot(90°-x), so we could rewrite the equation as ...
cot(90 -(3Y+32)) = cot(Y+32)
58 -3Y = Y +32
26 = 4Y
6.5 = Y
One solution is Y = 6.5°.
_____
Additional solutions are found at integral multiples of 45° added to this value.
what is the slope ?
Answer:
-1/2
Step-by-step explanation:
You go down once and over two because it’s down and left you have to put it as a negative
Simplify and solve for X.
5(x + 20) = 7x + 30
Answer:
X = 35
Step-by-step explanation:
5 + 100 = 7x + 30
5x + 100 - 100 = 7x + 30 - 100
5x = 7x - 70
5x - 7x = 7x - 70 - 7x
-2x = -70
-2x/-2 = -70/-2
x = 35
Evaluate the expression: 3c - 6d where c = 7 and d = -4
Answer:
45
Step-by-step explanation:
(3)(7)−(6)(−4)
=21−(6)(−4)
=21−(−24)
=45
CORRECT ANSWER GETS BRAINLIEST!
Keeping car tires inflated is essential to safe driving. For one type of car tire, the tire pressure in pounds per square inch (psi) is assumed to be approximately Normal with a mean of 35 psi and a standard deviation of 2 psi. A tire is labeled as underinflated if its pressure is 32 psi or below. What percentage of tires are underinflated?
a. 2.28%
b. 6.68%
c. 93.32%
d. 97.72%
Answer:
B 6.68
Step-by-step explanation:
The solution is, 30.854% is the percentage of tires are underinflated.
What is Z-score?In statistics, the standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative standard scores.
here, we have,
First, we find the z-score corresponding to the value given
z-score = (x - mean)/SD
Z-score = (36-35)/2 = 1/2 = 0.5
we find the Probability of (x > 0.5)
we use the standard normal distribution table for this
P( x > 0.5) = 0.30854
This has a percentage 30.854%.
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i need help with finding the value of x
Answer:
x= 10
Step-by-step explanation:
(8x+5)+(3x+25)+(4x)=180
15x+30=180
15x=150
x=10
xoxo, your highness...I need help thank you
How may solutions does -3(x-2)=6-3x have
Answer:
Every real number is a solution.
Step-by-step explanation:
−3 (x − 2) = 6 − 3x
(−3) (x) + (−3) (−2) = 6 + −3x
−3x + 6 = 6 + −3x
−3x + 6 = −3x + 6
−3x + 6 + 3x = −3x + 6 + 3x
6 = 6
6 - 6 - 0
0=0
what is mean mode and median
Answer:
mean is the average of the numbers (add them all up then divided by how many number there are)
mode is the number that comes out the most often
range is the largest number minus the smallest
median is the middle number when they are lined up from greatest to the least (unless there's two)
Step-by-step explanation:
a song we learned in 5th grade XD that i still remember somehow
Answer:
This is what mean, median, and mode are-
Step-by-step explanation:
Mean is when you add all the number there are and divide by the total of numbers that you added together like this for example.
(1+2+3+4+5 = 15) THEN (15 / 5 = 3) THE MEAN IS 3.
Median is when you group the number from smallest to biggest and keep on crossing out both side of the number till you reach the middle.
(1, 2, 3, 4, 5) YOUR MEDIAN SHOULD BE 3 CAUSE IF YOU CROSS OUT 1,5 THEN 2,4 YOU WILL GET 3.
Mode are the most common number that you will see. You could have no mode or many mode too.
(1, 2, 2, 3, 4, 5) THERE IS ONLY ONE MODE HERE WHICH IS 2.
(1, 2, 3, 4, 5) THERE IS NO MODE CAUSE THERE IS NO REPEATING NUMBER.
(1, 2, 3, 4, 4, 5, 5) THERE IS TWO MODE NOW WHICH ARE 4 AND 5.
HOPE THIS HELPS!
if qc is a tangent to circle o and qc=8 and bc=4, then the length of ob is ?
Answer:12
Step-by-step explanation: formula a(a+b)=c(c)
4(4+x)=8(8)
16+4x=64
4x=48
X=12
Answer:
6
Step-by-step explanation:
I took the test
solve the following inequality -3m + 18 -4
Answer:
-3m+14 that should be the answer
Answer:
-3m+14 that should be the answer
Step-by-step explanation: