Answer:
The values x = 7 and y = 3 make the equation true.
Step-by-step explanation:
hope this helps
Brianna bought a total of 8 notebooks and got 16 free pens
Answer: 1:2
Step-by-step explanation:
Well, if you're asking for the ratio, it is 1:2
For every 1 notebook bought, there would be 2 free pens.
Since she bought 8 notebooks, just multiply 2 by 8 which will result in 16.
i need help filling in the blanks
Complete the steps to solve the equation above.
2x + 5 = 4x - 1
+ +
After adding on both sides, the equation looks like this:
2x + = 4x
Now it's time to the combine like terms and .
2x + = 4x
- -
After subtracting on both sides, the equation looks like this:
=
Finally, we divide by on both sides, and we have solved the equation!
x is equal to .
The 3 steps to solve the algebra equation have each sub step as explained and written below.
How to solve algebra problems?We are given the algebraic equation;
2x + 5 = 4x - 1
Step 1; After adding 1 to both sides, we have;
2x + 5 + 1 = 4x - 1 + 1
2x + 6 = 4x
Step 2; We subtract 3x from both sides to get;
2x - 2x + 6 = 4x - 2x
2x = 6
Step 3; Divide both sides by 3 to get;
2x/2 = 6/2
x = 3
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Kevin and Randy Muise have a jar containing 65 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $8.65 How many of each type of coin do they have?
The number of quarters or nickels Kevin and Randy Muise have in the jar is 27 and 38 respectively.
Simultaneous equationA nickel = 5 centsA quarter = 25 centsn + q = 65
0.05n + 0.25q = 8.65
From equation (1)
n = 65 - q
substitute n = 65 - q into (2)
0.05n + 0.25q = 8.65
0.05(65 - q) + 0.25q = 8.65
3.25 - 0.05q + 0.25q = 8.65
- 0.05q + 0.25q = 8.65 - 3.25
0.20q = 5.40
q = 5.40/0.20
q = 27
Substitute into (1)
n + q = 65
n + 27 = 65
n = 65 - 27
n = 38
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A cube has a side length x and an each dimension is being increased by y, guys. :)
A). Write an expression for the surface area of the new cube, and then expand, and simplify, guys. :)
B). Please find the difference of the surface areas of the new cube and the original cube, guys. :)
Surface area of old cube
6(side)²6x²Side of new cube
x+ySurface area
6(x+y)²6(x²+y²+2xy)6x²+6y²+12xyDifference
6y²+12xyAnswer:
A) 6(x + y)² = 6x² + 12xy +6y²
B) 12xy +6y²
Step-by-step explanation:
Surface area of a cube = 6s² (where s is the side length)
Part A
Given:
x = side length of original cube⇒ Surface area of the original cube = 6x²
If the side length of the cube is increased by y, then:
(x + y) = side length of new cube⇒ Surface area of the new cube = 6(x + y)²
Expand and simplify:
⇒ 6(x + y)²
⇒ 6(x + y)(x + y)
⇒ 6(x² + xy + xy + y²)
⇒ 6x² + 12xy +6y²
Part B
To find the difference between the surface areas of the new and original cubes, subtract the surface area of the original cube from the surface area of the new cube:
⇒ SA of new cube - SA of original cube
⇒ 6x² + 12xy +6y² - 6x²
⇒ 12xy +6y²
Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Answer:
(-2, 11) and (2, 3)
Step-by-step explanation:
Given system of equations:
1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3
2) f(x) = -2x + 7 ⇒ y = -2x + 7
Solve Using the Substitution Method:
Step 1: Substitute the the first equation into the second.
⇒ x² - 2x + 3 = -2x + 7
Step 2: Solve for x.
x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]
x² - 2x + 2x + 3 = -2x + 2x + 7
⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]
x² + 3 - 3 = 7 - 3
⇒ x² = 4 [ Take the square root of both sides. ]
√x² = √4
x = ± 2
⇒ x = -2, x = 2
Step 3: Solve for y.
Substitute the found x-values into one of the given equations.
y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11
y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3
The solutions to the system of equations are: (-2, 11) and (2, 3).
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Rafael purchased a video game for 35.60.if he gave the cashier 40 how much change will he get
Answer:
4.4
Step by step explanation: If Rafael gave the cashier 40, cashier will return 4.4 by subtracting 35.60 from 40
16t^2 + 48t + 160 =0
Answer:
Simplifying -16t2 + 48t + 160 = 0
Reorder the terms: 160 + 48t + -16t2 = 0
Solving 160 + 48t + -16t2 = 0 Solving for variable 't'.
Factor out the Greatest Common Factor (GCF), '16'. 16(10 + 3t + -1t2) = 0
Factor a trinomial. 16((5 + -1t)(2 + t)) = 0 Ignore the factor 16.
hope it helps.
PLEASE HELP ASAP!!!!!!!!!
Prove the trigonometric identity.
tanx+cotx/cscx cosx=sec^2x
Drag an expression to each box to correctly complete the proof.
The proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].
What is trigonometry?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The proof will be given as:-
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{tanx}{coscxCosx}+\dfrac{Cosx}{CoscxCosx}\\\\[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =\dfrac{\dfrac{Sinx}{Cosx}}{\dfrac{Cosx}{Sinx}}+\dfrac{\dfrac{Cosx}{Sinx}}{\dfrac{Cosx}{Sinx}}[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{Sin^2x}{Cos^2x}+1[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = tan^2x+1}[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =Sec^2x[/tex]
Therefore the proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].
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If a=[-2 -4 2 5 1 5 -1 -3 -4] and b=[2 3 -5 5 -4 2 -1 -1 3] find ba
The product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].
What is the multiplication of matrix?If [tex]A = \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]and [tex]B = \left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right][/tex]
then,
BA = [tex]\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right] \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]
BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex]
Hence, the product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].
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write the explicit rule for the nth term of the arithmetic sequence. then find the 43rd term (3,5,7….)
Label the vertices and all the elements needed. Find x. Give reasons!
Answer:
Step-by-step explanation:
How do I even figure this out??
The value of a is 1/64.
The rules of the exponent are
(a) [tex]a^m*a^n=a^{m+n[/tex]
(b)[tex]a^m/a^n=a^{m-n[/tex]
(c)[tex](a^b)^c=a^{bc}[/tex]
(d) [tex]\sqrt[n]{a}=a^{1/n[/tex]
(e) a⁻ⁿ=1/aⁿ
From the table it is clear that
By the rule of the exponent a⁻ⁿ=1/aⁿ
where a=2
2⁻¹ = 1/2¹ = 1/2
2⁻² =1/2² =1/4
2⁻³ =1/2³ =1/8
2⁻⁴ =1/2⁴ =1/16
2⁻⁵ =1/2⁵ =1/32
So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.
From the above, it is clear that 2⁻ⁿ =1/2ⁿ
using the above formula
2⁻⁶= 1/2⁶ =1/64= a
Therefore the value of a is 1/64.
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Max's Market sells 6 eggs for £2.04.
Groceries Galore sells 8 eggs for £2.64.
Fancy Foodstuffs sells 12 eggs for £4.08.
Which shop's price per egg is cheaper?
Answer:
Groceries Galore
Step-by-step explanation:
1) Find the value of 1 egg for each shop.
Max's Market:
2.04 ÷ 6
= £0.34
Groceries Galore:
2.64 ÷ 8
= £0.33
Fancy Foodstuffs:
4.08 ÷ 12
= £0.34
Therefore, Groceries Galore's price per egg is cheaper.
Answer:
Groceries Galore
Step-by-step explanation:
we have to calculate the price of 2 eggs
in each shop apart ,and then we can infer
which shop offers the cheaper price.
…………………………………………………………
• At Max's market :
2 egg costs 2,04÷3 = £0,68
• At Groceries Galore :
2 egg costs 2,64÷4 = £0,66
• At Fancy Foodstuffs :
4,08÷6 = £0,68
………………………………
Conclusion :
Groceries Galore Offers the Lower price.
Note : we can just determine
the price of one egg in each store ,and then compare.
I ne subject of the formula below iS y.
y = 4x + 3
Rearrange the formula to make x the subject.
Answer:
x=(y-3)/4
Step-by-step explanation:
y=4x+3
y-3=4x
x=(y-3)/4
A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend?
Ju Chan answered the question by writing the following:
4(−15) meters = −60 meters.
Which word in the problem indicates that a negative number should be used?
The word in the problem that indicates that a negative sign should be used is "descend"
How many meters did he descend?We know that he stops for water breaks four times, and between each water break, he descends 15 meters.
The written equation is:
4*(-15)m = -60m
Why the negative sign is used?
The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"
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Select the correct answer.
Given:
Prove:
M
and
theorem,
Where is the error in the proof? Select all that apply.
U
The given cannot be used to state that XMY is a right angle.
The congruent complements theorem cannot be used to state that XMN~ XAOP.
The linear pair theorem cannot be used to state AOP is complementary to *POB.
The given cannot be used to state that AOB is a right angle.
The linear pair theorem cannot be used to state XMN is complementary to *NMY
The correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB
What is the Linear pair theorem?The linear pair postulate or linear pair theorem in mathematics states the same thing mathematically. The sum of the measurements of two angles that make up a linear pair is 180°.
In the proof of the given question, it is given that the ∠AOP and ∠POB are complementary angles by linear pair of theorem but the linear pair of the theorem is applied to the angles with the sum of 180.
Therefore the correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB
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Answer: Both:
The linear pair theorem cannot be used to state ∠XMN is complementary to ∠NMY.
The linear pair theorem cannot be used to state ∠AOP is complementary to ∠POB.
Step-by-step explanation:
Edmentum/Plato
what is 1/5 plus 1/10
Step-by-step explanation:
hope it helps you and give me a brainliest
Step-by-step explanation:
[tex] = \frac{1}{5} + \frac{1}{10} \\ [/tex]
Now make the denominator same...
[tex] = \frac{1}{5} \times \frac{2}{2} + \frac{1}{10} \\ [/tex]
[tex] = \frac{2}{10} + \frac{1}{10} \\ [/tex]
[tex] = \frac{3}{10} \\ [/tex]
:)
..
Answer all the questions
Tau decides to save money in the following ways:
He saves $ 1 in the first week $1.20 in the second week, $1.40 in the third week, and so on.
1) How much would he save in the nth week?
Answer:
1.00 + [(n - 1) × 0.20]
or
0.80 + [n × 0.20]
Step-by-step explanation:
week 1: 1.00
week 2: 1.20
week 3: 1.40
we could rewrite this as:
week 1: 1.00 + [0 × 0.20]
week 2: 1.00 + [1 × 0.20]
week 3: 1.00 + [2 × 0.20]
we can write this overall as:
week __ : 1.00 + [x × 0.20]
> x being the amount of weeks that have passed since week 1
but, we need to express this as in terms of nth, so, we need to figure out how the week is related to the x value
each week, we subtract 1 from the week number [to account for week 1]
so, we can write this as: 1.00 + [(n - 1) × 0.20]
or, we can backtrack from the first week, and start our counting at 0.80:
0.80 + [n × 0.20]
we can test this out:
(week 1)
1.00 + [(n - 1) × 0.20]
1.00 + [(1 - 1) × 0.20]
1.00 + [0 × 0.20]
1.00
or...
(week 1)
0.80 + [n × 0.20]
0.80 + [1 × 0.20]
0.80 + 0.20
= 1.00
So, nth week should be expressed as either:
1.00 + [(n - 1) × 0.20] or
0.80 + [n × 0.20]
(the second one is a little bit more simplified, but it depends on how you're supposed to write it)
hope this helps!!
A, B C, or D because i’m not sure
Answer:
C
Step-by-step explanation:
SAS axiom
SAS axiom
SAS axiomSAS axiom
SAS axiom
The semiperimeter is used to find the area of equilateral triangles only.
O False
O True
Semiperimeter is used to find the area of various shapes including the equilateral triangle (False).
What is the semiperimeter?Semiperimeter is a term used in geometry to refer to half the perimeter of a polygon. It is generally used in formulas for triangles.
However, it is also part of calculations related to other geometric shapes. According to the above, it can be inferred that the semiperimeter can be used to find the area of various geometric figures.
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John bought a motor cycle for $56,750 and spent $4530 On its repair. Then he sold it for $72650, what was the profit?
Answer:
cost of old motor bike =$5675
he spent on repair =$453
cost that he sold =$7265
profit he made=$7265-$5675+$453
=$7265-$6128
=$1137
Step-by-step explanation:
Select the correct answer.
What is the output of the function f(p) = 3p – 2 when the input is 2?
A.
0
B.
2
C.
4
D.
6
E.
8
f(p) = 3p - 2
f(2) = 3(2) - 2
f(2) = 6 - 2
f(2) = 4
Therefore, the answer is 4, so option C :)
What is the greatest common factor (GCF) of 15 and 6x?
The factors of 15 are
.
The factors of 6x are
.
The GCF of 15 and 6x is
.
Answer:
3
Step-by-step explanation:
Factors of 15 are 1, 3, 5, 15
Factors or 6 are 1, 2, 3, 6
HCF = 3
Suppose the mean height for men is 70 inches with a standard deviation of 2 inches. What percentage of men are more than 72 inches tall?
The percentage of men is more than 72 inches tall will be 0.15866.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
Suppose the mean height for men is 70 inches, with a standard deviation of 2 inches.
Then the percentage of men are more than 72 inches tall will be
z = (72 – 70) / 2
z = 1
The percentage of men is more than 72 inches tall will be
P(x > 72) = P(z > 1)
P(x > 72) = 1 – P(x < 72)
P(x > 72) = 1 – 0.84134
P(x > 72) = 0.15866
Thun, the percentage of men are more than 72 inches tall will be 0.15866.
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Help... will give you 20 points if you answer
Answer:
(-3,5) (-3,3) (-8,3)
Step-by-step explanation:
Answer:
(-3,5) , (-3,3) , (-8,3)
Step-by-step explanation:
bye, bye!!
y = 3x - 5.1, (-1.2, -3.1)
Answer:
This point is not on the line, NOT TRUE
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
where the format of a point is (x, y)
Given: y = 3x - 5.1, (-1.2, -3.1)
we can plug in the point (-1.2, -3.1)
-3.1 = 3(-1.2) - 5.1
-3.1 = -3.6 - 5.1
-3.1 = -8.7
-3.1 does not equal -8.7 so this point is not on the line
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A. Does the relationship of weeks passed and total number of followers represent a linear function? (0.5 points) B. What is the independent variable in the situation(0.5 points) C. What is the dependent variable in the situation? (0.5 points ) D. What is the slope of the line ? What does the slope represent in this scenario ? (0.5 points) E. What is the y-intercept of the line? What does the y intercept represent in this scenario? (0.5 points) F. Write the equation in slope intercept form that represents the situation (points ) G. What is the domain ? (Inequality notation ) (0.5 points) H. What is the range ? ( Inequality notation ) (0.5 points) How many weeks would it take Jorge to get 100 followers ? (points ) J. How many followers will Jorge have after 12 weeks ? (0.5 points)
The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
a) Yes it does, because the graph of their relationship is a Straight line
b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent
C)number of followers depend on the number of locks passing. It is dependent.
D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) = 18/3 = 6
It represents the increase in number of followers per week,
E) y-intercept is value of y when x=0
y-intercept = 82. It means his initial number of followers
F) Slope-intercept form → y = mx + c m = slope горе C = y-intercept y = no of followers x= weeks.
Y=6x+82
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Please help me out…
Polygon ____ and polygon ____ are similar to polygon 1.
Answer:
Polygon 3 and polygon 4 are similar to polygon 1.
Step-by-step explanation:
I believe this is the answer from the looks of it. If it's not 3, then try 2. I know one of them is definitely 4 though. I hope this helps!!
This is confusing please help
Step-by-step explanation:
Since we have a right triangle, we use the Pythagorean Theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
or
[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
where a and b are the legs and c is the hypotenuse
Remember the legs are the sides that form that right angle, and the hypotenuse is the side opposite of the right angle.
So here the hypotenuse is 8, and one of the legs is 4. So we plug those values into the formula
[tex] 8 = \sqrt{ {b}^{2} + {4}^{2} } [/tex]
Which graph shows the greatest integer function?
The graph of the greatest integer function is graph A.
What is graph?A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.
Given are graphs we need to find the graph of the greatest integer function,
The graph of the greatest integer function is graph A because since it is a greatest integer function, it includes the highest integer, but excludes the lowest since it is the highest integer when x is less than or equal to an integer but greater than x-1.
Hence the graph of the greatest integer function is graph A.
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