Answer:
(- 3, 1 )
Step-by-step explanation:
2x - 2y = - 8 → (1)
x + 2y = - 1 → (2)
adding the 2 equations term by term will eliminate y
3x + 0 = - 9
3x = - 9 ( divide both sides by 3 )
x = - 3
substitute x = - 3 into either of the 2 equations and solve for y
substituting into (2)
- 3 + 2y = - 1 ( add 3 to both sides )
2y = 2 ( divide both sides by 2 )
y = 1
solution is (- 3, 1 )
Answer:
(–3, 1)
Step-by-step explanation:
Step 1: Solve for x
2x – 2y = –8 -----------(1)
x + 2y = –1. -------------(2)
Add equation 1 to 2⇒2x + x| -2y + 2y |= -8 -1
⇒3x = -9
Divide both side by the coefficient of x⇒3x/3 = -9/3
⇒x = -3
Step 2; Solve for y
Substitute into equation 2x + 2y = –1
(-3) + 2y = -1
Add 3 from both sides-3 + 2y + 3 = -1 + 3
2y = 2
divide both side by two2y/2 = 2/2
y = 1
So, ( x,y) ⇒(-3,1)
A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2938 MB. How many downloads of the standard version were there?
Answer:
260
Step-by-step explanation:
The relationship between the number of standard versions and the total download can be written as ...
2.3n +4.5(2n) = 2938 . . . . . twice as many high-quality songs (2n)
11.3n = 2938 . . . . . . . . . simplify
n = 2938/11.3 = 260 . . . divide by the coefficient of n
There were 260 downloads of the standard version.
Gloria's grandmother gave her a quilt made
up of pieces that have the following dimensions
area of the quilt piece.
bin
Thin
sin
Answer:
What?
Step-by-step explanation:
is this your whole question?
Find the area of the figure.
Answer:
6 x 8 = 48
Step-by-step explanation:
"My sales volume has increased from 50 units a day to 62. That is a __________ increase."
Answer:
If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase.
Step-by-step explanation:
To find this answer this is what I did:
[tex]\frac{(62-50)}{50} * 100 = (?)\\\\=\frac{12}{50} *100\\\\=24%[/tex]
24 = 24%
Hence, the percent increase from 50 to 62 is 24%.
** the "*" in the problem above represents multiplication **
I hope that this answer helps to answer your question completely. If there are any further questions please put them in the comments below and I will try my best to answer them If not, please have a great rest of your day/night.
Answer:
24%
If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase. Step-by-step explanation:To find this answer this is what I did:24 = 24% Hence, the percent increase from 50 to 62 is 24%
Which mathematical word describes both 27x and 6x in the expression 27x+6x
coefficient
difference
difference
sum
sum
term
term
The mathematical word describing both 27x and 6x in the expression is "addition" or "sum"
How to use mathematical word to describe an expressionThe mathematical expression is 27x + 6x.
Mathematical expression are combinations of numbers and variables ordered with operations.
Mathematical expression is a combination of numbers, variables, operators (such as addition, subtraction, multiplication or division etc.).
For the given case, the terms are 27x and 6x and the expression formed from them is 27x + 6x.
This simply implies both terms are summed together to give the expression 27x + 6x.
Therefore, the mathematical word describing both 27x and 6x in the expression is "addition" or "sum"
learn more on mathematical expression here: https://brainly.com/question/26848264
4
Ms. Thorson bought a piece of lace that was 3 feet long. She cuts off as many pieces as possible that are 9 inches long. Will Ms. Thorson have any lace left over? Show and explain your work.
Answer:
No
Step-by-step explanation:
1 foot = 12 in.
3 feet = 36 in.
36 / 9 is 4
4 is an integer
Therefore, none will be left
Answer:
No , there will not be any piece left
Step-by-step explanation:
No of feet :- 3 feet which is 36 inches
If we cut of 36 inches in part each of 9 inch we will get 4 parts of 9 inch
36/9 :- 4
4 is complete no. , so there wouldn't be any piece left .
The following data points represent the number of children in each household in Cam's neighborhood.
0, 0,6,3,1,5, 0, 2,0
How many households in Cam's neighborhood have 0 children?
households
Answer:
4
Step-by-step explanation:
We can see that 9 households are represented in the data, 4 of them are zeros. This means 4 households in Cam's neighborhood have 0 children.
Larry is reroofing his house. Each side of the roof measures 14 feet from the eave to the ridge. The horizontal distance between the eaves is
20 feet.
x
14 feet
14 feet
20 feet
The measure of the angle between the two sides of the roof is approximately
Reset
Next
Answer:
91.2°
Step-by-step explanation:
There are several ways to find the a.pex angle of an isosceles triangle with all side lengths given. One of them is using the Law of Cosines:
c² = a² +b² -2ab·cos(C)
Solving for the angle C, we find ...
C = arccos((a² +b² -c²)/(2ab))
__
Here, we have a=b=14 and c=20. The angle is ...
C = arccos((14² +14² -20²)/(2·14·14)) = arccos(-8/392)
C ≈ 91.16938°
The interior angle at the peak of the roof is about 91.2°.
2n² + 2n - 12 = 0 in quadratic formula?
Answer:
Step-by-step explanation:
2n² + 2n - 12 = 0
in quadratic formula = n = 2, -3
[tex]2n^2+2n-12=0\\\\\implies n^2 +n-6=0\\\text{Apply quadratic formula,}~ n = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}. ~\\\\\text{In this case,}~ a=1,b=1, c= -6\\\\n=\dfrac{-1\pm\sqrt{1^2-4\cdot 1 \cdot -6}}{2\cdot 1}\\\\~~~=\dfrac{-1\pm\sqrt{1+24}}{2}\\\\~~~=\dfrac{-1\pm\sqrt{25}}{2}\\\\~~~=\dfrac{-1\pm5}{2}\\\\\text{Hence} ~ n=\dfrac{-1+5}{2} = 2 ~~\text{or}~~n = \dfrac{-1-5}2 = -3[/tex]
The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 16 minutes. What is the probability that washing dishes tonight will take me between 8 and 15 minutes?
Answer as a fraction = 7/9 which is exact
Answer in decimal form = 0.778 which is approximate
=========================================================
Explanation:
The time gap from 8 to 15 is 15-8 = 7 minutes.
The time gap from 7 to 16 is 16-7 = 9 minutes.
Divide those differences: 7/9 = 0.778 approximately
The 7's go on forever, but rounding at some point will bump the last 7 to an 8.
which statement is true regarding the graphed functions?
f(0) = 2 and g(-2) = 0
f(0) = 4 and g(-2) = 4
f(2) = 0 and g(-2) = 0
f(-2) = 0 and g(-2) = 0
point (2 ; 0) on Cf so f(2) = 0
point (0 ; 4) on Cf so f(0) = 4
point (-2 ; 0) on Cg so g(-2) = 0
Find the volume. Use 3.14 for π where necessary. Round the answer to two decimal places.
Answer:
25.12 feet cubed ~ 25ft^3
Step-by-step explanation:
You're doing a volume for a cone.
Volume of cone formula: 1/3 π r^2 h
You have given me the diameter of 4ft
Height of 6ft.
In order to solve this, you need to divide 4ft by 2ft because we need the radius rather than the diameter.
**The radius is half of the diameter.**
Our new radius is 2ft.
Formula: 1/3π2^2(6)
Now do the exponent first, 2 to the second power or 2 squared is 4.
You need to pull out your calculator.
Steps to calculate the volume:
Do 1 divided by 3 first
Then multiply that by 3.14
Multiply 4
Finally multiply 6
Your Volume for the cone is 25.12 feet cubed
This week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice for the same number of hours. What is the total number of hours you will have practiced over these six days?
Which expression correctly shows how to solve this problem?
A. 3 1/4 + 2 1/2 + 1
B. (3 1/4 + 2 1/2) + (3 1/4 + 2 1/2)
C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1
Thank You so much!!!!
Answer:
C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1)
Step-by-step explanation:
Since, this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.
And, next week you practice for the same number of hours.
Same number = (3 1/4 + 2 1/2 + 1)
Thus, [C] (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1) is correct.
~Lenvy~
Answer:
[C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]
Step-by-step explanation:
Given:
this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.
Next week you practice for the same number of hours.
To Find:
What is the total number of hours you will have practiced over these six days?
Which expression correctly shows how to solve this problem
Solve:
Knowing that you practice for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice the same. Thus, we can know that [C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex] is the correct answer.
Solution if needed.
[tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]
[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]
= [tex]\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+2\frac{1}{2}+1\right)[/tex]
[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]=\frac{27}{4}+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]
[tex]=\frac{27}{4}+\frac{27}{4}[/tex]
[tex]=\frac{27}{2}[/tex]
[tex]=13\frac{1}{2}[/tex]
Solution ⇒ [tex]=13\frac{1}{2}[/tex]
[RevyBreeze]
PLEASE HELP MATH. WILL GIVE BRAINLIST AND TONS OF POINTS
Answer:
[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]
[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]
[tex]\sf 3.78\times 10^{4}[/tex]
Step-by-step explanation:
Scientific notation: [tex]\sf a \times 10^b[/tex]
(where [tex]\sf 1 \leq |a| < 10[/tex] and b is the power of 10 required so that the notation is equivalent to the original number)
Move the decimal point back 13 places then multiply by [tex]\sf 10^{13}[/tex]:
[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]
Move the decimal point back 8 places then multiply by [tex]\sf 10^{8}[/tex]:
[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]
Divide the total debt by the population to calculate how much each person would owe if the debt was divided equally among everyone in the US:
[tex]\sf \dfrac{11,600,000,000,000}{307,000,000}=\dfrac{1.16 \times 10^{13}}{3.07 \times 10^{8}}=\dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}[/tex]
Apply exponent rule [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]\sf \dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}=0.3778501629... \times 10^{13-8}[/tex]
[tex]\sf =0.378\times 10^{5}[/tex]
[tex]\sf =3.78\times 10^{4}[/tex]
(remembering that the first part "0.378" needs to be equal to or greater than 1, but smaller than 10)
I need the answer to this quick pls
Answer:
Option A
Step-by-step explanation:
The median of the trapezoid is the line connecting the midpoints of the legs.The median of the trapezoid can be caculated by the fromula,
[tex]\bf Median = \dfrac{a +b}{2}[/tex]
Here, a and b are the base (parallel sides)
a = 13 inches & b = 19 inches
[tex]\bf Median = \dfrac{13+19}{2}[/tex]
[tex]= \dfrac{32}{2}\\\\\\= 16 \ inches[/tex]
What are the coordinates of C' -3, 2 after it has been transformed using the rule (x, y)→(x + 4, y - 3)?
x=-3+4
y=2-3
So it will be (1;-1)
5.Joan Robinson opens her own law office on July 1, 2012. During the first month of operations, the following transactions occurred. 1. Joan invested $11,000 in cash in the law practice. 2. Paid $800 for July rent on office space. 3. Purchased office equipment on account $3,000. 4. Provided legal services to clients for cash $1,500. 5. Borrowed $700 cash from a bank on a note payable. 6. Performed legal services for client on account $2,000. 7. Paid monthly expenses: salaries and wages $500, utilities $300, and supplies $100. 8. Joan withdraws $1,000 cash for personal use
Step-by-step explanation:
i will go you in the bank in co2 in the man
How to find an slope
Answer:
Y2-Y1
____
X2-X1
To FIND SLOPE. YOU DIVED THE DIFFERENCE OF THE Y- COORDINATES OF 2 POINTS ON LINE BY THE DIFFERENCE OF THE X- COORDINATES OF THOSE SAME 2 POINTS.
I THINK IT IS HELPFUL FOR YOU.?
A grocer wants to mix two kinds of candy. One kind sells for $1.15 per pound, and the other sells for
$2.75 per pound. He wants to mix a total of 24 pounds and sell it for $1.30 per pound. How many
pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
Hey there!
This grocer is mixing two kinds of coffee. I always love the smell of coffee!
We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.
Altogether there are 24 pounds of coffee he is selling.
The algebraic equation would be x + y = 24
At $1.30 per pound, he will make 24 * $1.30 = $31.2
So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?
The algebraic equation would be 1.15x + 2.75y = 31.2
We now have two equations :
x+y = 24
1.15x + 2.75y = 31.2
Substituting x= 24 -y in the second equation gives us
1.15(24-y) + 2.75y = 31.2
27.6 - 1.15y + 2.75y = 31.2
27.6 + 1.6y = 31.2
1.6y = 31.2 - 27.6
0.3y= 3.6
y= 2.25
x + y = 24
x + 2.25 = 24
x = 24 -2.25
x = 21.75
If y=2.25, then x= 21.75 as well.
So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.
~Done~
Triangle ABC was dilated and translated to form similar triangle A'B'C'.
On a coordinate plane, 2 triangles are shown. Triangle A B C has points (0, 2), (2, 2), and (2, 0). Triangle A prime B prime C prime has points (negative 4, negative 1), (1, negative 1), and (1, negative 6).
What is the scale factor of the dilation?
One-fifth
Two-fifths
Five-halves
5
Answer:
C
Step-by-step explanation:
How do you figure out which statement is true?
Answer:
What question are you talking about though
Show how you got the answer, giving brainliest :)
Answer:
Step-by-step explanation:
Volume of a rectangular prism: l*w*hVolume of a triangular prism: 1/2*b*h*lFor the rectangular prism:
L (length) = 5 cmW (width) = 8 cmH (height) = 3 cmV = l*w*h <== substitute the values (from above) for the variables
V = 5*8*3
V = 40*3
V = 120 cm^3 (cubed)
For the triangular prism:
B (base) = 6 cmH (height) = 3 cmL (length) = 2 cmV = 1/2*b*h*l <== substitute the values (from above) for the variables
V = 1/2*6*3*2
V = 3*3*2
V = 9*2
V = 18 cm^3 (cubed)
Hope helps!
A house owner pays a property tax of $10 for every $1,000 of assessed property value. What is the tax for a home assessed at $150,000.
Tax the assesed home would increase the total amount paid
The tax of a home assesed at $150,000 is $1500
How to determine the tax amount?The given parameter can be represented using the following ratio:
Ratio = Tax : Amount
So, we have:
$10 : $1000 = Tax : $150000
Express as fraction
10/1000 = Tax/$150000
Multiply both sides by $150000
Tax = $1500
Hence, the tax of a home assesed at $150,000 is $1500
Read more about tax at:
https://brainly.com/question/25783927
An Eiffel Tower mural is 2 meters high and 0.77 meters wide. If the actual tower is 125 meters wide, how tall is it to the nearest meter?
If the actual tower is 125 meters wide, then the height will be approximately 325m
Similarity ratio of shapesThe ratio of the similar sides of the shape is equal to a constant.
If an Eiffel Tower mural is 2 meters high and 0.77 meters wide the actual tower is 125 meters wide, then the new height will be expressed as;
2/0.77 = H/125
Cross multiply
0.77H = 2 * 125
0.77H = 250
H = 250/0.77
H = 325m
This means that if the actual tower is 125 meters wide, then the height will be approximately 325m
Learn more on similar shapes here: https://brainly.com/question/2644832
A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If
x machines are made, then the unit cost is given by the function C(x) = 0.5x^2- 150x +20,960. How many machines must be made to minimize the unit cost?
Do not round your answer.
The supply equation of the company is an illustration of a quadratic function
The number of machines that must be made to minimize the unit cost is 150
How to determine the number of units?The equation of the function is given as:
[tex]C(x) = 0.5x^2- 150x +20960[/tex]
Differentiate the function
[tex]C'(x) = x - 150[/tex]
Set to 0
[tex]x - 150 = 0[/tex]
Add 150 to both sides of the equation
[tex]x = 150[/tex]
Hence, the number of machines that must be made to minimize the unit cost is 150
Read more about quadratic functions at:
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help for 40 points and brainliest
[tex]\sf 2^{-6}[/tex]
these two options apply
[tex]\rightarrow \sf \dfrac{1}{2^6}[/tex]
[tex]\rightarrow \sf 2^{-2} \ * \ 2^4 \ * \ 2^{-8}[/tex]
in decimals : 0.015625
Answer:
Option C and D
Step-by-step explanation:
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Example:
If the given exponent is a⁻ᵇ, then the result will be 1/aᵇ.
This exponent includes a negative sign. To make the exponent positive, take the exponent's reciprocal and change the negative sign to a positive sign. The same will be done to the given expression.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
First, take the exponent's reciprocal as said above.
⇒ [tex]2^{-6}[/tex]
⇒ [tex]\frac{1}{2^{-6} }[/tex]
Now, change the exponent's sign.
⇒ [tex]\frac{1}{2^{-6} }[/tex]
⇒ [tex]\frac{1}{2^{6} }[/tex]
Now, simplify the term.
⇒ [tex]\frac{1}{2^{6} }[/tex]
⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} }[/tex]
⇒ [tex]\frac{1}{8 \times 8}[/tex]
⇒ [tex]\frac{1}{64}[/tex]
Using the simplified result we obtained, let's verify all the options to see which is equivalent to the term.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
A)------------------------------------------------------------------------------------------------------
Keep in mind that the exponent is the number of times the base needs to multiply itself.
[tex]-2^{6} \rightarrow -2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]
NOTE: If there are even number of "-", then the result should be positive. If there are odd number of "-", then the result should be negative.
[tex]-2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]
⇒ [tex]2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]
⇒ [tex]64[/tex]
[tex]-2^{6} = 64 \neq \frac{1}{64}[/tex]
B)------------------------------------------------------------------------------------------------------
Since -64 is already a simplified term, we can compare this with the simplified result.
[tex]-64 \neq \frac{1}{64}[/tex]
C)------------------------------------------------------------------------------------------------------
[tex]\frac{1}{2^{6}}[/tex]
⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 }[/tex]
⇒ [tex]\frac{1}{8 \times 8 }[/tex]
⇒ [tex]\frac{1}{64}[/tex]
[tex]\frac{1}{2^{6} } = \frac{1}{64} = \frac{1}{64}[/tex]
D)------------------------------------------------------------------------------------------------------
[tex]2^{-2} \times 2^{4} \times 2^{-8}[/tex]
⇒ [tex]\frac{1}{2^{2}} } \times 16 \times \frac{1}{2^{8} }[/tex]
⇒ [tex]\frac{1}{4} \times 16 \times \frac{1}{256}[/tex]
⇒ [tex]\frac{1}{4} \times 1 \times \frac{1}{16}[/tex] [16² = 256]
⇒ [tex]\frac{1}{4} \times \frac{1}{16}[/tex]
⇒ [tex]\frac{1}{64}[/tex]
[tex]2^{-2} \times 2^{4} \times 2^{-8} = \frac{1}{64} = \frac{1}{64}[/tex]
E)------------------------------------------------------------------------------------------------------
[tex]2^{3} \times 2^{-2}[/tex]
⇒ [tex]2^{3 - 2}[/tex]
⇒ [tex]2^{1} = 2[/tex]
[tex]2^{3} \times 2^{-2} = 2 \neq \frac{1}{64}[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
When do you say that a given quadrilateral is a parallelogram?
Answer:
If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.
Step-by-step explanation:
hope that helps
Joey has completed a portion of his weekend chores. This portion is represented by the point on the number line below. What percentage is represented by the point on the number line?
A. 12.5%
B. 60%
C. 75%
D. 80%
Answer:
C - 75%
Step-by-step explanation:
6/8 = 75%
How is the Golden Ratio calculated from Fibonacci sequence? Please help me tyyy <3
Answer/Step-by-step explanation:
the fibonacci sequence is {1, 1, 2, 3, 5, 8, 13, 21, 34…} and in the visual for the Golden Ratio, if you look those are the those are the numbers that basically equals the golden ration, 1.618.
SOHCAHTOA geometry
Help quick please!
How would i solve this?
Answer: 32
Step-by-step explanation:
48 - 16 is 32