Answer:
The answer is x = 9
Step-by-step explanation:
(1/3)*x+4 = x-2 // - x-2
(1/3)*x-x+2+4 = 0
6-2/3*x = 0 // - 6
-2/3*x = -6 // : -2/3
x = -6/(-2/3)
x = 9
You have four quiz grades. Quiz 1: 17/30, Quiz 2: 17/25, Quiz 3: 38/50, Quiz 4: 18/25 What is your ordinary quiz average?
What is your weighted quiz average?
Answer:
.7 or 70%
Step-by-step explanation:
17/30 + 17/25 + 38/50 + 18/25 = 2.727
2.727 divided by 4 (the amount of addends) = .7
Answer:
68%
Step-by-step explanation:
To find the average quiz grade, you have to add up all the percentages and divide by the numbers of scores you have.
56 + 68 + 76 + 72 = 272
272 ÷ 4 = 68
Hope this helps! <3
Which are vertical angles? Check all that apply.
LEAB and BAC
LEAB and CAD
CAD and FAE
_CAB and 2DAE
E
DAC and 2DAE
The answer is b and d
Answer:
Step-by-step explanation:
what are we supposed to check.......and by the way you have written the answer at below too
Rectangle with width labeled on the right, width equals 4 and 1 over 2 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says area equals 36 and 3 over 4 square inches.
Answer:
length = [tex]8\frac{1}{6}[/tex] inches
Step-by-step explanation:
A rectangle is a quadrilateral which has opposite sides to be equal.
Area of a rectangle = length × width
Given that: Area = [tex]36\frac{3}{4}[/tex] square inches, width = [tex]4\frac{1}{2}[/tex] inches, length = l. Thus;
[tex]36\frac{3}{4}[/tex] = l × [tex]4\frac{1}{2}[/tex]
[tex]\frac{147}{4}[/tex] = l × [tex]\frac{9}{2}[/tex]
divide both sides by [tex]\frac{9}{2}[/tex],
l = [tex]\frac{147}{4}[/tex] ÷ [tex]\frac{9}{2}[/tex]
= [tex]\frac{147}{4}[/tex] x [tex]\frac{2}{9}[/tex]
= [tex]\frac{49}{6}[/tex]
l = [tex]8\frac{1}{6}[/tex]
Therefore, the length of the rectangle is [tex]8\frac{1}{6}[/tex] inches.
Simplify the expression
8
2
+
9
(
12
÷
3
×
2
)
−
7
. Explain each of your steps.
Answer:
147
Step-by-step explanation:
82+9(12÷3×2)-7
82+9(4×2)-7
82+9(8)-7
82+72-7
154-7
147
Follow PEMDAS
The simplified values of the expression is 97.
How to apply BODMAS rule ?First we will solve what is inside the brackets that too in 1st 2nd and 3rd bracket order then we will divide after that we will multiply then we will add then subtract.
The given equation is
82 + 9 (12 ÷ 3×2) - 7
Here we will follow BODMAS rule
BODMAS stands for Brackets of order division multiplication addition and substraction. In this order we will solve our expression
82 + 9 (12 ÷ 3×2) - 7
= 82 + 9(12 ÷ 6) - 7
= 82 + 9(2) - 7
=82 + 18 - 7
=100 - 7
= 97
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what is the area of the square length:10 width 15
Answer:
5 I think because don't you divide
Answer 150β
10 times 15
If 40% of any number is 600 more than its 25%. What is the number?
Answer:
4000
Step-by-step explanation:
40% of the number is 15% more of the number than 15% of the number is. So, 600 is 15% of the number.
600 = 0.15n
600/0.15 = n = 4000
The number is 4000.
__
Check
40% of 4000 is 1600. 25% of 4000 is 1000. 1600 is 600 more than 1000.
Convert 0.3185° to minutes and seconds
Answer:
Step-by-step explanation:
19 minutes and 16 seconds . because there are 60 minutes in every degree . and 60 seconds in every minute. so, if you take 0.3185 x 60 = 19.11 minutes . —-> 19.11 min. x 60 = 6.6 seconds .
so therefore the answer is 19 min. &’ 16 seconds ur welcome
Answer:
23 min 6 seg
Step-by-step explanation:
0,3185º =
0,3185*60 min = 23,1 min =
23 min + 1/10 de min
1/10 de min = 1/10 * 60 seg = 60/10 = 6 seg
Answer two questions about Equations A and B:
A. 5= -2(x - 1)
B. 5 = -22 + 2
1) How can we get Equation B from Equation A?
Choose 1 answer:
Answer:
part 2 is A: yes
Step-by-step explanation:
Option B is correct.
We have the two following equations -
A. 5 = -2(x - 1)
B. 5 = -2x + 2
We have to find out how can we get Equation B from Equation A?
State the distributive property.According to the distributive property -
a(y + z) = (a x y) + (a x z)
According to the question -
We have -
-5 = -2(x - 1)
Using the distributive property, we can rewrite the right hand side as follows -
-5 = -2(x - 1) = ( -2x ) + (2) = -2x + 2
Hence, option B is correct.
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The area is square feet of a rectangular garden can be expressed as the product of the garden's length and
width, or A(x) = 2x2 - 21x + 40. If the width of the garden is (x - 8) feet, what is the length of the garden?
Answer:
(2x-5)feet
Step-by-step explanation:
The area of the rectangular garden A = Length × Width
Given the area A(x) = 2x² - 21x + 40
And the width =x-8 feet
To get the length, we will simply factorise the area function as shown;
You will just factorise the area
Factorizing 2x² - 21x+40
2x² − 21x + 40
2x² -16x - 5x + 40
2x(x - 8) -5(x - 8)
=(2x−5)(x−8)
Hence the length of the garden is
(2x-5)feet
Translate the following statement into an algebraic expression: Use x for your variable. The sum of the square of a number and eleven times the number.
Step-by-step explanation:
Let x be the number.
Then the algebraic expression will be x^2 + 11x.
The algebraic expression in x will be : x² + 11x
Given,
Variable x,
The sum of the square of a number and eleven times the number.
Now,
Let the variable be x .
Square of variable : x²
Eleven times of the variable x : 11x
Now combine the term to get the algebraic expression,
Alegbraic expression : x² + 11x
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Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply. 10% 1 -0.1 -1 One-fourth
Answer: Consider these numbers, ordered from least to greatest.
Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent
A number line going from negative 2 to positive 1.
Which values could correctly fill in the blank?
Select all that apply.
Step-by-step explanation:
The values that will correctly fill the blank when ordered from least to greatest on a number line are: 10%, -0.1, and ¼.
The number line given showing different positions of the numbers is shown in the image attached below.
The blank space that was left can only be filled with numbers that are above -0.2 and below 0.5.
From the options given:
10% = 0.1 - this is within -0.2 and 0.5. It will fill the blank.-0.1 and ¼ are also within -0.2 and 0.5. They will also fill the blank.1 and -1 do not fall within -0.2 and 0.5.Therefore the values that will correctly fill the blank when ordered from least to greatest on a number line are: 10%, -0.1, and ¼.
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what is the slope and the y intercept?
24x squared – 44x + 12
please help!!
Answer:
Using the quadratic formula:
x = [--44 +- sqr rt (-44^2 -4*24*12)] / 4*12
x = [44 +- sqr rt (1,936 -1,152)] / 48
x = [44 +- SQR RT (784)] / 48
x = (44 +- 28) / 48
x1 = 72 / 48 = 1.5
x2 = 16 / 48 = 1 / 3 = .3333333333...
Step-by-step explanation:
What is the value of x in the equation 32(4x – 1) – 3x = 54 – (x + 2)?
Answer:
Step-by-step explanation:
32(4x - 1) - 3x = 54 - (x+2) : Do 32 times 4 and -1 as well as -1 times x and 2
128x - 32 - 3x = 54 - x - 2 : Combine like terms
125x - 32 = 52 - x : Add x to both sides
126x - 32 = 52 : Add 32 to both sides
126x = 84 : Divide both sides by 126
x = 0.666666667 : Round to the tenth
x = 0.67 : Final answer
whats the answer to this
Answer:
D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Domain is the furthest X value while Range is the furthest Y value.
pls someone, pls explain aswell !!
Answer:
absolute value
Step-by-step explanation:
How can you represent patterns from everyday life by using tables, expressions, and graphs?
Answer:
"They organize data and can reveal relationships, making it easier to write equations that describe the patterns."
Step-by-step explanation:
Need help as soon as possible
Answer:
The answer is C.
Step-by-step explanation:
Given that ∠I and ∠K have the same angles so we can assume that this is an Isoceles Triangle where 2 sides are equal. So we can compare the expressions of JI and JK to get the value of x :
[tex]JI = 5x + 4[/tex]
[tex]JK = 2x + 7[/tex]
[tex]JI = JK[/tex]
[tex]5x + 4 = 2x + 7[/tex]
[tex]5x - 2x = 7 - 4[/tex]
[tex]3x = 3[/tex]
[tex]x = 1[/tex]
Next, we have to substitute the x value into the expression of JK :
[tex]JK = 2(1) + 7[/tex]
[tex]JK = 2 + 7[/tex]
[tex]JK = 9[/tex]
(Correct me if I am wrong)
multiply (2x + 12)(4x-2)
Answer:
8x^2-44x-24
Step-by-step explanation:
(2x + 12)(4x-2)
=>8x^2+48x-4x-24
=>8x^2-44x-24
PLEASE HELP ME !!
Instructions: Using the image, find the midpoint of the line segment. Reduce all fractions and enter using a forward slash (i.e. "/").
Answer:
the mid point is ( 3, -1 )
Step-by-step explanation:
the x axis it's 3 and for the y axis is -1
I need help understanding mean median
2 (x + 8) > 18 + x -4 need this really soon
[tex]\text {Hey! To solve this problem you must...}[/tex]
[tex]\text {Simplify the Equation:}[/tex]
[tex]\text {Multiply (x+8) by 2.}[/tex]
[tex]\text {x becomes 2x. 8 becomes 16}[/tex]
[tex]2x+16>x+14 \text { will be your answer once you simplify it.}[/tex]
[tex]\text {The Next Step is to Subtract x:}[/tex]
[tex]\text {Q: Why Subtract x instead of adding x?}[/tex]
[tex]\text {A: We need x to cancel out. So x-x will cancel out each other.}[/tex]
[tex]\text {Note: In equations like these x-x is another way of saying 1-1.}[/tex]
[tex]2x+16-x>x+14-x\\x+16>14 \text { would be your answer once you subtract x.}[/tex]
[tex]\text {The Final Step is to Subtract 16.}[/tex]
[tex]\text {Note: Subtracting 16 will cancel out 16-16 and just leave x by itself.}[/tex] [tex]\text {That's what we are working towards.}[/tex]
[tex]x+16-16>14-16\\x>-2 \text { would be your final answer.}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex]\text {-LimitedX}[/tex]
Hey there!
ANSWER: [tex]x>-2[/tex]EXPLANATION:[tex]2(x+8)>18+x-4[/tex]
In our first step, we will need to simplify the inequality.
[tex]2x+16>x+14[/tex]
Now we have to subtract x from both sides of the inequality.
[tex]2x+16-x>x+14-x=x+16>14\\x+16>14[/tex]
In our last step, we will need to subtract 16 from both sides of the inequality.
[tex]x+16-16>14-16=x>-2\\x>-2\text{(ANSWER)}[/tex]
Hope this helps!
[tex]\text{Please rate this answer and press the thank button!}\\\text{-TestedHyperr}[/tex]
Solve for x in simplest form.
14 = 1/2(9x-8)
11. Point F is on segment EG. If FG = (27x - 50)° and EF = (3x - 2)° and EG = 38,
then find FG. *
Answer:
Step-by-step explanation:
27x -50 + 3x - 2 = 38
30x - 52 = 38
30x = 90
x = 3
27(3) - 50 = 81 - 50 = 31 = FG
Dr. Watson received a $15 gift card to download music for her mp3 player. Each Song costs $1.50. Find the equation that represents the
remaining balance on the gift card after x downloads. What is a suitable domain for this function?
Answer:
y = -1.50x + 15, Domain is from 0 to 10
Step-by-step explanation:
First, look at the question carefully and highlight all the words that are important. We know that the 15 dollar giftcard is important, and we know that each song costs 1 dollar and 50 cents is important. We will make an equation out of this information. Since she is spending money, the value of X will be negated. She starts out with 15 dollars, so that will be our y-intercept. From this, the equation is y = -1.50x + 15. Next, let's look at the domain. We can see that the question asks for a suitable domain, not the domain of the function. Since she didn't have more than 15 dollars from her gift card, any domain from negative infinity until 0 will be crossed out. The x-intercept of this equation is 10, so any value above 10 will be crossed out since you cannot spend more money than you were given. The domain would now be from 1 to 10.
What is the solution to the compound inequality 5x + 7 ≥ −8 and 3x + 7 < 19?
Answer:
x[tex]\geq[/tex]-3 and x<4
Step-by-step explanation:
5x[tex]\geq[/tex] -15 and 3x<12
x[tex]\geq[/tex] -3 and x<4
Now you just need to graph it :)
Is 1.8x10-4 greater than 7.2x10-1and how many times greater
Answer:
ye s1.8x10-4 is greater than 7.2x10-1
Step-by-step explanation:
The number 1.8*10⁻⁴ is smaller, not larger than 7.2*10⁻¹
Is the first number greater than the second?We have two numbers in scientific notation, these are:
1.8*10⁻⁴
7.2*10⁻¹
We want to see if the first one is larger than the second one. This is trivial to notices, because the exponent in the first number is 3 orders of magnitude smaller than the other exponent, then the first number is smaller than the second, not larger.
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Laura has a collection of coins that includes pennies, nickels, dimes, and quarters. The total amount of money she has in dollars can be found using the expression (P + 5N + 10D + 25Q) ÷ 100
Answer:
3.84
Step-by-step explanation:
((24) + 5(12) + 10(10) + 25(8)) ÷ 100 = (24 + 60 + 100 + 200) ÷ 100 Multiply.
= (384) ÷ 100 Add.
= 3.84 Divide.
A right triangle and its dimensions are shown in this diagram.
26 meters
10 meters
24 meters
What is the area, in square meters, of the triangle?
Answer: The answer is B
Step-by-step explanation:
A map is created on the coordinate plan, lori's house is located at ( -3, 7) and Andreas house is located at (-3,-4). Each unit on the map represents 0.2 mile.
Answer: 2.2 miles.
Step-by-step explanation:
I guess that we want to find the distance between Lori's and Andrea's houses.
First, we have the locations:
L = (-3, 7)
A = (-3. -4)
To find the distance (in units) between two coordinate points (a1, a2) and (b1 b2) we can use the formula:
Distance = I (a1, a2) - (b1, b2)I = √( (a1 - b1)^2 + (a2 - b2)^2)
Then in this case we have that:
Distance = √( ( -3 -(-3))^2 + (7 - (-4))^2) = √( 0 + 11^2) = 11
The distance between their houses is 11 units.
And we know that each unit represents 0.2 miles, then 11 units represent 11 times that amount, the distance in miles will be:
D = 11*0.2 miles = 2.2 miles.