Answer:
D. x + 10 pence
Step-by-step explanation:
Since the pen costs 10 pence more than the ruler, we need to add 10 to x.
Using the linear combination method, find the solution to this system of equations. Be sure to show all your steps in your work!
5x+4y=-14
3x+6y=6
Answer:
[tex]x=-6; y=4[/tex]
Step-by-step explanation:
Step 0: retwite the second equation by dividing LHS and RHS by 3.
[tex]x+2y=2[/tex]
Step 1: combine them as the first minus twice the second to eliminate y
[tex]I - 2\times II : 5x+4y -2x-4y=-14-4 \rightarrow 3x=-18 \rightarrow x= -6[/tex]
Step 2a: At this point I would replace the value of x in the second equation to easily solve for y. That will give you [tex]-6+2y=2 \rightarrow y=4[/tex]. I do imagine you're required to use the same method to solve for y even if it's slower so...
Step 2b: Combine them again, taking the first minus 5 times the second to eliminate x:
[tex]I-5II: 5x+4y-5x-10y=-14-10 \rightarrow -6y=-24 \rightarrow y=4[/tex]
HELP!
y=x^2-2x-3
find the values of x when y=1
What is the angle of rotation of the figure above? Assume that the center of rotation is the origin. A. –360° B. –270° C. –90° D. 270°
Identity law a(b+c)=a×b+a×c
Answer:
Distributive property
Step-by-step explanation:
The distributive property states that if you have an equation inside parenthesis with a number outside, you should multiply the number with each of the member inside the parenthesis. So lets say you have 3(1-4), you are not going to add the members together after multiplication, you are gonna apply the mathematical equation that was available in the first place, so u will multiply 3×1 - 3×4, this applies to any situation you have. Let’s say you have 3+(4-2), here you cannot multiply the 3 by any of the parenthesis, since there is an addition sign right before it, we conclude that the number should be right beside the parenthesis bcz parenthesis are like multiplication signs. So you have 3(4-2), first step you do is multiply each of the number inside by the number outside, and you will get the subtraction sign in the middle of them. It will look like this 3×4 -3×2, u multiply them all together, with the multiplication first and subtraction at last.
ur wlcm :)
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A cone has a volume of 320 cubic centimeters
&a height of 15 centimeters. Find the length
of the radius.
Answer:
4.51352cm
Step-by-step explanation:
Please help with question 14
Answer: have started giving out meals to the homeless "49"
Valentina and her sister went together to get haircuts. valentina got 4/5 of an inch cut off and her sister got 1/5 of an inch cut off. compared to her sister, how much more hair did valentina get taken off?
Answer:
Valentina got 4 times more hair cut off than her sister
Step-by-step explanation:
1 4 4
- × - = -
5 1 5
Valentina got 4 times more hair taken off than her sister, as the ratio between them is 4:1.
What is a ratio?The ratio is the simplest form of a fraction involving two quantities determining each other. It is written as a:b, read as "a is to b", and functions as a/b.
How to solve the question?In the question, we are informed that Valentina and her sister went together to get haircuts. Valentina got 4/5 of an inch cut off and her sister got 1/5 of an inch cut off.
We are asked to find a comparison between the two.
To find the comparison, we will find the ratio of the haircut Valentina got to that of what her sister got.
Therefore, ratio = (4/5):(1/5) = (4/5)/(1/5) = 4.
Therefore, Valentina got 4 times more hair taken off than her sister.
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What happens to the mode of the data set shown below if the number 8 is added to the data set?
A. There is no mode.
B. The mode will not change.
C. There will be two modes.
D. The mode increases by 6.
Answer:
c
Step-by-step explanation:
right now 15 is the mode because there are 3 of them
if we made it so that there was another 8 there would also be 3 of them
this would mean that there are two modes
Help me this is so confusing
The factor of the given quadratic polynomial 9x² - 12x + 4 is (3x - 2) and (3x - 2).
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The quadratic polynomial is given below.
9x² - 12x + 4
Then by the factorization, we have
9x² - 6x - 6x + 4
3x(3x - 2) - 2(3x - 2)
(3x - 2)(3x - 2)
(3x - 2)²
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all of 5 students got a 50% on the test, what is the average
Christopher's family took a road trip to mount rushmore. christopher fell asleep 65% of the way through the trip. if the total length of the trip was 960 miles, how many miles had they travelled when christopher fell asleep?
Using proportions, it is found that they had traveled 624 miles when Christopher fell asleep.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, Christopher fell asleep at a distance that is 65% of 960 miles, hence the distance they had traveled is given by:
D = 0.65 x 960 miles = 624 miles.
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Does anybody know this? A house casts a shadow that is 57 feet long at the same time a girl who is 4.7 feet tall casts a shadow that is 9.4 feet long how tall is the house do not round your answer
Answer:
h = 28.5 ft
Step-by-step explanation:
the 2 situations are similar, that is the triangles formed in both cases are similar.
then the ratios of corresponding sides are in proportion
let h be the height of the house , then
[tex]\frac{4.7}{h}[/tex] = [tex]\frac{9.4}{57}[/tex] ( cross- multiply )
9.4h = 4.7 × 57 = 267.9 ( divide both sides by 9.4 )
h = 28.5 ft
Write the number 0.00043 in standard form.
Answer:
0.00043 in standard form is 0.00043
0.00043 in scientific notation is [tex]4.3*10^{-4}[/tex]
Step-by-step explanation:
or zero and forty three hundred thousandths
Here is the histogram of a data distribution. All class widths are 1.
What is the median of the distribution?
A. 7
B. 6
C. 5
D. 4
Given the function h(x)=x^2-7x+6h(x)=x
2
−7x+6, determine the average rate of change of the function over the interval 1\le x \le 61≤x≤6.
Answer:
[tex]0[/tex] (no change)
Step-by-step explanation:
Recall that the average rate of change of a function [tex]f(x)[/tex] over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex]:
[tex]\frac{h(b)-h(a)}{b-a}\\ \\\frac{h(6)-h(1)}{6-1}\\\\\frac{0-0}{5}\\ \\0[/tex]
Hence, the average rate of change of the function [tex]h(x)[/tex] over the interval [tex][1,6][/tex] is [tex]0[/tex], or no change.
6. Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.
1,540 m2
770 m2
396 m2
749 m2
The surface area of the regular pyramid is 770 [tex]m^{2}[/tex]
Option B. 770 [tex]m^{2}[/tex] is the answer.
What is Surface Area ?
The surface area of a pyramid is a measure of the total area that is occupied by all its faces.
We have to find the surface area of the regular pyramid with a base of 6 sides (hexagonal base).
Surface area of pyramid = area of triangles at the lateral sides + area of base (Hexagon)
Surface area of hexagonal base,
[tex]\frac{1}{2}*(Apothem)*(Perimeter) \\= \frac{1}{2}*(6\sqrt{3} )*(72)\\=216\sqrt{3}[/tex]
Surface area of triangular sides = 6 * 1/2 * b *h
= 3 * 12 *11
= 396 [tex]m^{2}[/tex]
Now total surface area = 216√3 + 396
= 374.112 + 396
= 770.112
≈ 770 [tex]m^{2}[/tex]
The surface area of the regular pyramid is 770 [tex]m^{2}[/tex]
Option B. 770 [tex]m^{2}[/tex]
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What is the measure of angle A, in degrees?
===========================================================
Explanation:
Let B represent the unmarked angle on the left between angle A and the 145 degree angle.
Angle B and the 145 degree angle form a straight line of 180 degrees
B+145 = 180
B = 180-145
B = 35
Then use the fact that angles A and B form a 90 degree angle
A+B = 90
A+35 = 90
A = 90-35
A = 55
if x= -2
what is
f(x)= -x²+5
Answer:
1
Step-by-step explanation:
f(x)= -х² + 5
f(-2)= -2²+5
f(-2)= -4+5
f(-2)= 1
Consider the function represented by the equation x - y = 3. What is the equation written in function notation, with x
as the independent variable?
obor(x) = y + 3
Of(x) = -y - 3
Of(x) = -x + 3
O f(x) = x - 3
Answer:
f(x) = x - 3
Step-by-step explanation:
note that y = f(x) , then
x - y = 3 ( add y to both sides )
x = 3 + y ( subtract 3 from both sides )
x - 3 = y , that is
f(x) = x - 3
f(x) = x - 3 is the equation written in function notation, with x as the independent variable.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
To write the equation x - y = 3 in function notation with x as the independent variable, we need to solve for y in terms of x.
x - y = 3
y = x - 3
Therefore, the function represented by the equation x - y = 3, with x as the independent variable, can be written in function notation as:
f(x) = x - 3
So the answer is O f(x) = x - 3.
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Express 0.625 as a fraction in its
simplest form.
Answer:
5/8
Step-by-step explanation:
Answer: The answer is 5/8. Try reducing using 58
Congratulations I was forced to do this so I could see the question.?
Jeff made a small flag that is shaped like a triangle. The flag has side lengths of 5 inches, 12 inches, and 13 inches. Jeff wants to describe the flag to his friend so she can make one also.
Select all statements about the flag that are true.
A. The flag is a scalene, right triangle.
B. The flag is an isosceles, acute triangle.
C. The sum of the angle measures of Jeff's flag is 180 degrees.
D. There are an infinite number of different triangular flags that can be made with the same dimensions.
Answer:
A, C
Step-by-step explanation:
A True it IS a right triangle because 5^2 + 12 ^2 = 13^2
and scalene because the leg legths are not =
C always true of triangles
please tell me what 16/7+86.8 is
Answer:
89.0857
Step-by-step explanation:
Hope this helps! Have a great day!!
Question:
please tell me what 16/7+86.8 is
Answer:
89.08571429
Simplified version:
89.08
Step-by-step explanation:
So you have the fraction:
16 over 7
And you have your whole number/decimal:
86.8
What you would do is:
Set up your problem. (Always put the bigger number on top.) So what your problem should look like is 86.8 on top and the fraction on the bottom.Break down the fraction: (So your fraction would have 1. The decimal. And 2. It's way easier to work with when you have two whole numbers/decimals.)So your broken down fraction should have the numbers in this specific order: 2.28571429
Add the two number together: (Add 2.28571429 and 86.8)
You would start at the end of your problem
9 + 0 = 9
2 + 0 = 2
4 + 0 = 4
1 + 0 = 1
7 + 0 = 7
5 + 0 = 5
8 + 0 = 8
2 + 8 = 10
2 + 86 = 88 + 1 (From the 10) = 89
So, to conclude, 16/7 + 86.8 = 89.08571429
Then, simplified it is: 89.08 or 89.0/89
If you need to simplify to only one digit after the decimal, the answer would be 89
If you are wondering why then the reason why you wouldn't add the .0 is because you never add the .0 at the end. If your answer is 89.08 then you cannot take away that 0 because you only take away the 0 if its at the end of your answer.
(Examples.)
X for Don't take away 0
[tex]\sqrt[/tex] for Take away 0
89.08 X
37.30 [tex]\sqrt[/tex]
12.6802 X
15.670 [tex]\sqrt[/tex]
16.05 X
15.50 [tex]\sqrt[/tex]
6.903 X
And so on.
There are 100 comic books to choose from at the local hobby store. How many different sets of 10 comic books could you choose to buy?
The number of ways for which different sets of 10 comic books could you choose to buy will be 1.731 x 10¹³.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
There are 100 comic books to choose from at the local hobby store.
Then the number of ways for which different sets of 10 comic books could you choose to buy will be
Total ways = ¹⁰⁰C₁₀
Total ways = 1.731 x 10¹³
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Rewrite as a whole number. 63/9
Answer:
7
Step-by-step explanation:
Because 9 can go into 63, 7 times.
What is the sum of the square of 4 and square root off 144
estimate the answrer by rounding each fraction to the nearest whole or half and then subtracting
The estimation of the fractions to the nearest whole number is [tex]5\frac{13}{40}[/tex]
How to subtract fractions?
The fractions are in mixed fractions. Let's convert it to improper fraction and do the arithmetic.
Therefore,
[tex]8\frac{1}{5} - 2\frac{7}{8}[/tex]
[tex]8\frac{1}{5}=\frac{41}{5}[/tex]
[tex]2\frac{7}{8} =\frac{23}{8}[/tex]
Therefore,
[tex]\frac{41}{5} -\frac{23}{8} = \frac{328-115}{40} =\frac{213}{40}[/tex]
Hence,
[tex]\frac{213}{40} =5\frac{13}{40}[/tex]
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check the attachment pls.
Step-by-step explanation:
135+k=180(sum of angles on a straight line)
k=180-135
k=45
so now u can use k to solve for x
k+9x is also on a straight line
so k+9x=180
we know k so substitute the value in the equation
45+9x=180
9x=180-45
9x=135
[tex] \frac{9x}{9} = \frac{135}{9} [/tex]
cancel 9 will divide 135 15 times
therefore x=15 degrees
A box contains 75red , blue and green balls . if 24% are red and 17 are blue, what fractions of the balls are not green ?
y=3x-2 use a graph to estimate the value of x when y = 3
Answer:
5/3
Step-by-step explanation:
Substitution
Answer:
5/3 or 1 2/3 (also, there is no graph so I had to do subsitution)
Step-by-step explanation:
If we substitute, we get 3 = 3x-2. We add 2 to both sides and get 5 = 3x
We divide 3 from both sides and get 5/3 = x or x = 5/3
Hope this helped! I would appreciate a Brainliest if this answer helped you! Thank you and have a good day!