Step-by-step explanation:
x−7(x−2)=10x+9−x
Step 1: Simplify both sides of the equation.
x−7(x−2)=10x+9−x
x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)
x+−7x+14=10x+9+−x
(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)
−6x+14=9x+9
−6x+14=9x+9
Step 2: Subtract 9x from both sides.
−6x+14−9x=9x+9−9x
−15x+14=9
Step 3: Subtract 14 from both sides.
−15x+14−14=9−14
−15x=−5
Step 4: Divide both sides by -15.
−15x−15=−5−15
x=13
Answer:
x=13
what is two plus two
LOTS OF POINTS
Find the Perimeter of the figure below, composed of an isosceles trapezoid and one semicircle. Rounded to the nearest tenths place
Step-by-step explanation:
diameter of semicircle is 6 so radius is 6/2=3
so perimeter of the circle would be
p=2πr
p=2π*3=6π=18.8
But we have a semicircle so perimeter will be
P=p/2=18.8/2=9.4
The perimeter of the figure now would be
Perimeter=9+8+8+9.4=25+9.4=34 approximately.
The perimeter of the figure below, composed of an isosceles trapezoid and one semicircle is 34.4 units.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
From the given figure, equal sides of an isosceles trapezoid is 8 units, and parallel sides are 9 units and 6 units.
Radius of semicircle is 6/2 = 3 units
Now, perimeter = 9+8+8+Circumfrence of a semicircle
= 25+πr
= 25+3.14×3
= 25+9.42
= 34.4
Therefore, the perimeter is 34.4 units.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
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I will give brainliest !!!!!
An office supply store sells notebooks in packs of 15 and folders in packs of 18. A business wants to have one notebook for each folder. What is the least number of notebooks and folders that the business has to buy?
30
270
3
90
Answer:
90 notebooks and folders
Step-by-step explanation:
Find the least common multiple (LCM) or 18 and 15!
18 x 5 = 90
15 x 6 = 90
Therefore, your answer is 90
Hope this helps!
Patulong naman sa business math HAHHA
1. Becky won $108,000 by coming in first place at a chess tournament, and she has the option of receiving 4 quarterly payments of $27,000, with the first payment in 3 months, or 1 lump-sum payment of $108,000 occurring in 12 months. Once she receives her money, she plans on putting it in a savings account paying simple interest at an annual interest rate of 8.8% calculated quarterly. Becky's financial adviser told her that she'll "lose" money if she takes the lump-sum payment, and Becky wants to calculate how much she’ll "lose". HELP !! I don’t understand ! please show work
Answer:
Step-by-step explanation:
From the information being provided;
We learnt that Becky pays simple interest at an annual interest rate of 8.8% which is calculated quarterly.
i.e. [tex]\dfrac{8.8\%}{4}= 2.2\%[/tex]
Since the first payment of $27,000 happened in the first three months, therefore, Becky will be able to have the money in the bank for 3 quarters prior to the lump-sum payment gets started.
Thus, the estimate of the amount Becky would earn as interest during this period of time is as follows:
[tex]I =\dfrac{PRT}{100}[/tex]
[tex]I =\dfrac{27000\times 2.2 \times 3}{100}[/tex]
[tex]I =\dfrac{178200}{100}[/tex]
I = $1,782
Estimate to find the answer. 52% of 10
Answer:
.50*10 is 5
.52*10 is 5.2
PLEASE HELP ASAP A bucket contains 48 fluid ounces of water. How many quarts of water does the bucket contain? Enter your answer as a decimal in the box. BLANK quarts
Answer:
1.5 Quarts
Step-by-step explanation:
A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.
So the bucket contains 1.5 Quarts.
If you traveled 175.5 miles, how many gallons of gas were used?
Answer: What kind of gas? What are we traveling in? Was there supposed to be some rate you left out?
Step-by-step explanation:
x - 12
2x
find the perimeter
Answer:
6x-24
Step-by-step explanation:
First, we must add x-12 to 2x. We will get 3x-12. Now, to get the perimeter, we must multiply that expression by 2. The answer is 6x-24.
Write the following equation in standard form.
y=-2x-7
Answer:
2x+y=−7
Step-by-step explanation:
Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty while driving through Canada Samuel notice that each gas station measures its gasoline in litres instead of gallon Samuel found that one is approximately equivalent to 0.264 gallons how many liters would it take to fill Samuels car round to the nearest tenth of a liters
Answer: 47.4 liters
Step-by-step explanation:
From the question, we are informed that Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty and while in Canada, he noticed that one liter is equivalent to 0.264 gallons.
The number of liters it'll take to fill Samuels car will be:
= 12.5/0.264
= 47.4 litres
Place the numbers from 1 to 5
in the circles. Use each
number once only The sum
must be the same in both
directions!
Answer:
2 top left 5 middle 3top right then 4 and 1 going down
Determine the slopes from the given information
A line through (3,-3) and (8,4)
1) x+3= -7
2) 2/3x+1=27
3) 4x-7=2(x+3)+9
Answer:
1) x = -10
2) x = 39
3) x = 11
Step-by-step explanation:
1) x + 3 = -7
=> x= -7-3
=> x= -10
2) 2/3x + 1 = 27
=> 2/3x = 27 - 1
=> 2x =26 * 3 (26 multiply by 3)
=> x = 78/2
=> x =39
3) 4x-7 = 2 (x+3) +9
=> 4x-7 = 2x+6+9
=> 4x-2x =7+6+9
=> 2x = 22
=> x =22/2
=> x = 11
simplify 13 +4(9-7) and solve
Answer:
21
Step-by-step explanation:
13 + 4(9-7) =
13 + 4(2) =
13 + 8 = 21
Answer:
21 hope this helps
Step-by-step explanation:
Please help me with this I have like 10 minutes (SOLVE FOR X)
Both these angles are vertically opposite angles due to which their angle measures will be equal .
Which means :-
[tex]12x + 9 =13 x + 1[/tex]
[tex]9 = 13x + 1 - 12x[/tex]
[tex]9 = 1x + 1[/tex]
[tex]1x + 1 = 9[/tex]
[tex]x + 1 = 9[/tex]
[tex]x = 9 - 1[/tex]
[tex]x = 8[/tex]
Which means :-
angle 12x + 9 == 12 × 8 + 9
= 96 + 9
= 105°
angle 13x + 1 == 13 × 8 + 1
= 104 + 1
= 105°
Therefore :-
angle 12x + 9 = 105° ( x = 8)
angle 13x + 1 = 105° ( x = 8 )
Ill give brainlist if RiGhT
Answer:
Angle 1 and angle 3 are vertical angles.
Step-by-step explanation:
They are diagonal from each other causing it to be vertical angles and equal.
Mark does 5 tests each day. Each test takes 2 hours. He works 6 days this week. How many hours did he work?
Pls help me i will give brainliest!!!!!!!!!!!!!
Answer:
x= 2b-a
Step-by-step explanation:
Answer:
x=2b-a
Step-by-step explanation:
The first step is to subtract 2a from both sides to get the equation 2x=4b-2a
The next step is to divide by 2 so you can get x by itself which turns the equation to x=2b-a
Hi, could someone give me the correct answer i really need it and i'd appreciate it so much. Can anyone please help?
Answer:
a= c+16
a-c= 16
Step-by-step explanation:
a = b + 12
b = c + 4
adding both eq.s, we get:
a+b = b+c+12+4
a+b = b+c+16
a = c+16
a-c = 16
plz help me i really need this down i will give a 100 if u answer it right
3. 4 ____/_____ 4 _________ 4 _________ 4 = 3
4. 4 _________ 4 _________ 4 _________ 4 = 4
5. 4 _________ 4 _________ 4 _________ 4 = 5
6. 4 _________ 4 _________ 4 _________ 4 = 6
7. 4 _________ 4 _________ 4 _________ 4 = 7
Answer:
lmk what you mean and i will help you asap
Answer:
I am soso sorry give me like a day and i will have you an answer
Step-by-step explanation:
i don't uderstand
Suppose that you and a friend are playing cards and decide to make a bet. If your friend draws two black cards in succession from a standard deck of 52 cards replacing the first card, you give him $30. Otherwise, he pays you $20. If the same bet was made 20 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary.
Answer:
I am expected to win $150
Step-by-step explanation:
We need to calculate the probability of drawing 2 black cards with replacement
There are 26 black cards in a deck of cards
The probability of drawing a black card is thus 26/52 = 1/2
So the probability of drawing two black cards in succession with replacement will be 1/2 * 1/2 = 1/4
So the probability of not drawing the two in succession will be 1 - 1/4 = 3/4
so out of twenty trials the number of times the drawing will occur will be 1/4 * 20 = 5 times
The number of times it will not occur will be 20-5 = 15 times
The amount my friend will win will be 5 * 30 = 150
The amount I will win will be 20 * 15 = 300
The amount I expect to win in the deal will be 300-150 = $150
At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days
Answer: 48s+12p-18 this is the correct answer i just took the test
The expression that represents the total cost can be written as -
y = as + pb - 18.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that at the ski shack, customers can rent, skis, snowboards, boots, and poles by the day. Mrs. Alvarez is renting skis and poles.
Assuming the cost to rent skis for 1 day is $a and the cost of renting the poles is $b. Then we can write the expression that represents the total cost as -
y = as + pb - 18
Therefore, the expression that represents the total cost can be written as - y = as + pb - 18.
To solve more questions on expression evaluation, visit the link below -
brainly.com/question/1041084
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Sydney's teacher says she may have her report card percentage based on either the mean or the median and she
can drop one test score if she chooses.
94%, 84%, 100%, 68%
Which measure of center should Sydney choose so she can have the highest percentage possible?
O Sydney should choose the mean after dropping one test score.
O Sydney should choose the mean without dropping one test score.
O Sydney should choose the median after dropping one test score.
O Sydney should choose the median without dropping one test score.
Next
Save and Exit
Submit
Mark this and return
Answer:
The correct answer is:
Sydney should choose the median after dropping one test score.
Step-by-step explanation:
when scores are not dropped:
List of scores = 68%, 84%, 94%, 100%
Mean = (68 + 84 + 94 + 100) ÷ 4 = 86.5%
Median = 68 84 94 100
Median = (84 + 94) ÷ 2 = 89%
Although there are no outliers because Sydney was given the option to drop a test score, dropping the lowest score will increase his overall chances of making a higher score. Therefore, 68% will be dropped.
List of scores when the lowest score is dropped = 94%, 84%, 100%
Mean: (84 + 94 + 100) ÷ 3 = 92.7%
Median: 84, 94, 100
Median = 94% (middle term)
From the four possible scores, the highest score is 94%, and it is gotten by finding the median after dropping a score
Answer:
c ;)
Step-by-step explanation:
1. Suppose you flip a penny 50 times, with 25 tosses landing heads up. What percentage of the tosses would be heads? %
Answer:
50%
Step-by-step explanation:
Half of 50 is 25, so when it comes to a percent, half of 100% (50) is 50% (25)
1+1 answer first to get brainliest
Answer:
window! but just incase someone out there doesn't know the real answer it's two, I'm looking at you Carol
lol anyways, have a great day!
Answer: 2
Step-by-step explanation:
Sandra rolls 2 fair dice.
What is the probability of both dice showing a different number?
Answer: 1/36
Step-by-step explanation:
1/6*1/6
Answer:5:6
Step-by-step explanation:
I need help with this PRONTO! I'll give brainliest!
Find the LENGTH OF THE MISSING SIDE in the following right triangle in inches.
Round to the nearest tenth, if necessary.
20 inches
21 inches
Answer:
If the missing side is long then it's 29 or if its short, then it's 6.4
Step-by-step explanation:
just do a^2 + b^2 = c^2 method
Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future.
Complete Question:
Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?
s(t)•h(t)= (3x-4)(2x-8)
= 6x² - 24x -8x - 32
= 6x² - 32x - 32
Answer:
Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.
Advice: Jamie should take note of the rule that applies when multiplying signs.
Step-by-step Explanation::
To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:
s(t)•h(t)= (3x-4)(2x-8)
Using distributive property, do the following:
[tex] 3x(2x - 8) -4(2x - 8) [/tex]
[tex] 3x*2x -3x*8 -4*2x -4*-8 [/tex]
[tex] 6x^2 - 24x - 8x + 32 [/tex] (this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)
Add like terms
[tex] 6x^2 - 32x + 32 [/tex]
Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.
Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.
