Answer:
AB = 36
Step-by-step explanation:
Since E is the midpoint of AB, then
AE = EB , substitute values
4x + 6 = 10x - 12 ( subtract 10x from both sides )
- 6x + 6 = - 12 ( subtract 6 from both sides )
- 6x = - 18 ( divide both sides by - 6 )
x = 3
Thus
AB = AE + EB = 4x + 6 + 10x - 12 = 14x - 6 = 14(3) - 6 = 42 - 6 = 36
Perform the operation
(3x^2-10x+4)+(10x^2-5x+8)
Answer: 13x^2 - 15x + 12
Step-by-step explanation:
[tex]\left(3x^2-10x+4\right)+\left(10x^2-5x+8\right)[/tex]
[tex]=3x^2-10x+4+10x^2-5x+8[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=3x^2+10x^2-10x-5x+4+8[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:4+8=12[/tex]
[tex]=3x^2+10x^2-10x-5x+12[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:3x^2+10x^2=13x^2[/tex]
[tex]=13x^2-10x-5x+12[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:-10x-5x=-15x[/tex]
[tex]=13x^2-15x+12[/tex]
what is the sum of the degrees of the exterior angles of a convex pentagon
Answer:
The sum of the measures of the exterior angles of a convex polygon is 360 degrees.
Step-by-step explanation:
Triangles RST and XYZ are shown at right. Emma knows
ZTELZ. She claims that triangles RST and XYZ are congruent. As part of her
reasoning, which theorem could she use? Select two that apply.
Answer:
Step-by-step explanation:
Given :-
TR = ZXSR = YXTo Prove :-
ΔRST ≅ ΔXYZSolving :-
TR = ZX (Given)SR = YX (Given)∠R = ∠X (Angle that lies between equal sides of respective parts of the triangle)ΔRST ≅ ΔXYZ (1,2,3, SAS congruence)need answer plz answer I NEEED ANSWER
Answer:
I believe Han's tastes stronger.
Step-by-step explanation:
His is less of a water fraction and more orange juice fraction.
Answer:
Han
Step-by-step explanation:
The answer is Han because she adds less water and water makes things less strong.
Andy and Kristina are getting married soon and want a large cookie table at their wedding. If there are 225 guests attending their wedding and they want each guest to be able to have 5 cookies, how many dozen cookies do they need to order?
a).93 dozen
b).94 dozen
Answer:
b).94 dozen
Step-by-step explanation:
225*5=1125
1125/12/93.75
93.75 rounded = 94
At a wrestling event, ringside seating will consist of three rows being laid out. It is planned so each row will be two more seats than the one before it and 90 people must be seated in each section. How many people will be in the third row?
Answer:32
Step-by-step explanation:
The water level in a well decreased by 6 inches every month due to evaporation. What is the change in the water level after a six month period of time?
Step-by-step explanation:
we don't know what level it was originally at so well use a variable for the unknown number. If you take 6 inches and do that 6 times for each month you will have 36 inches lost so w= water i = inches
w-(6i x 6) = 36
This isn't the best explanation but I hope this helps you
please tell me. i have an hr to finish and try to get a passing grade so i won’t have to retake this class
Answer:
[tex]h(x)=\left(\cfrac{1}{10}\right)^3[/tex]
_______________
x h(x)
-3 (1/8)^{-3}= 1000
-2 (1/8)^{-2}= 100
-1 (1/8)^{-1}= 10
0 (1/8)^{0}= 1
1 (1/8)^{1}= 1/10
________________
~
A dartboard consists of a circle inscribed in a square. The area of the circle is square inches. The area of the square is 64 square inches. A dartboard consists of a circle inscribed in a square. Izzy randomly throws a dart at the square, and it lands inside the square. To the nearest percent, what is the probability that the dart lands inside the square but not on the circular dartboard? Use 3. 14 for π. 22% 25% 75% 79%.
The probability that the dart lands inside the square but not on the circular dartboard is 0.215
What is the probability?The chances of the happening of any event are called the probability.
The dartboard is in the form of a square and the circle is inscribed in it
The area of the dartboard is [tex]a_d=54\ inch^2[/tex]
Since the circle is inscribed on the dashboard so the diameter of the circle will be the length of the square
[tex]a_d=s^2=64[/tex]
[tex]s=\sqrt{64}=8\ inch[/tex]
Thus the diameter of the circle
[tex]d=8\ \ \ r= \dfrac{8}{2} =4 \ inches[/tex]
Now we will calculate the area of the circle
[tex]a_c=\pi r^2[/tex]
[tex]a_c=\ 3.14\times 4^2=50.24\ inch^2[/tex]
The area of the square outside the circle will be the difference of the area of the square and the area of the circle
[tex]64-50.24=13.76\ inch^2[/tex]
Now to find out the probability of the dart hitting outside the circle will be calculated as.
[tex]\rm Probability = \dfrac{Area \ outside \ circle }{Area \ of \ square}[/tex]
[tex]P= \dfrac{13.76}{64} =0.215[/tex]
Thus the probability that the dart lands inside the square but not on the circular dartboard is 0.215
To know more about probability follow
https://brainly.com/question/24756209
Answer:
22%
Step-by-step explanation:
Skylar has a bag that contains pineapple chews, apple chews, and peach chews. She performs an experiment. Skylar randomly removes a chew from the bag, records the result, and returns the chew to the bag. Skylar performs the experiment 23 times. The results are shown below:
A pineapple chew was selected 8 times.
A apple chew was selected 9 times.
A peach chew was selected 6 times.
If the experiment is repeated 2000 more times, about how many times would you expect Skylar to remove a peach chew from the bag? Round your answer to the nearest whole number.
Answer:
522 times
Step-by-step explanation:
a peach chew was chosen 6 out of 23 times so we can create a proportion out of 2000 based on that ratio:
'p' = times peach is chosen out of 2000
6/23 =p/2000
cross-multiply to get:
23p = 12000
p = 12000/23
p = 522 times
Answer:
522 times
Step-by-step explanation:
From this experiment, Skylar selects a peach chew 6/23 of the time. 6/23*2000=522. This works because 6/23 is the amount of chance Skylar has of selecting a peach chew if she selects one chew. If she selects 2000 chews, therefore, her odds of getting a peach chew would mean that she would get about 522 peach chews.
AnEgg is bought at 550 and sold at a percentage of loss of 22%. Calculate the Selling Price
Hey there!
=> [tex]550 \times \frac{22}{100} [/tex]
=> [tex] \frac{550}{1} \times \frac{22}{100} [/tex]
cancel the zeros of 100 and 550
=> [tex] \frac{55}{1} \times \frac{22}{10} [/tex]
=> [tex] \frac{1,210}{10} [/tex]
=> 121 ( Substract 121 from 550)
=> 429
Therefore, Selling price is 429
what is 22.8333333333 as a fraction?
Answer:
22 83/100
Step-by-step explanation:
22 is a whole number, while .8333 is continues you have to round it to .83. .83 is in the hundredths place so it would be 83/110. So in the end you'll have 22 83/100
Answer: I’m assuming this is supposed to repeat because that’s ridiculous if it isn’t. The answer is 22 5/6
26 - 44 : 11 - 5*2- 2*(14:7) =
Answer: 4
Step-by-step explanation:
Follow the PEMDAS so the first thing you do is 14:7 which is 2. then you do the division and multiplication so the 44:11 is 4, 5*2 is 10, and 2*2 is 4. The next thing you do is addition and subtraction. 26-4-4-10-4 is 4. So, the answer is 4.
3) Louise has 500 cents in her piggy bank. Uncle Jim gave her a few cents on his visit.
If Louise has 765 cents, how many cents did Uncle Jim give her?
Answer:
265
Step-by-step explanation:
because she had 500 and now she has 765 so he gave her 265
Answer:
265
Step-by-step explanation:
Because before her Uncle visited she had 500 cents and he gave her a total of ? cents she now has 765.
Meaning what = 765 when you add it to 500.
500 + ?=765. we know 500 + 200=700 but she has 65 more than 700 so s you add that to our answer we get 765.
5 0 0
2 6 5
+______
7 6 5=765
Hope it helps have a great day:)
3(y-6)=42 what is the answer
Answer:
y=20
Step-by-step explanation:
expand bracket
3y-18=42 add 18
3y=60 divide by 3
y=20
Determine what the constant, coefficient, and variable are in the expression 9x + 4
Answer:
constant-4
variable-x
coefficient-9
Step-by-step explanation:
Coefficient- the number being multiplied by a variable
Variable- the unknown, usually 'x'
Constant- the number that is all by itself.
Estimate by rounding each term to 0, 1/2, or 1.
7/12 - 4/7
What is 70.5 rounded to the nearest whole number?
Answer:
71
Step-by-step explanation:
If a decimal needs to be rounded to a whole number, you need to refer to the tenths place in the decimal. In this case, that is "5" and in math, when rounding, if it is 5 or more, you round up to the next whole number. If it is 4 or less, you round down. So 70.5 rounded to the nearest whole number is 71. :)
Sue solved an equation below. Check her work.
Answer:
You cant see the equation
Step-by-step explanation:
Are the pair of lines parallel, perpendicular or neither? 8x-4y=12 and 4x-y=-15
Answer:
neither, would technically be intersecting lines tho
Step-by-step explanation:
For his science fair project, Ernesto is investigating the water quality in his school's water fountains. He finds that the water is safe to drink; a 50-milliliter water sample has just 13 milligrams of dissolved solids. If Ernesto fills a 2-liter bottle from one of the water fountains at his school, how many grams of dissolved solids would his bottle have?
Answer:
0.52grams of dissolved solids.
Step-by-step explanation:
; a 50-milliliter water sample has just 13 milligrams of dissolved solids. If Ernesto fills a 2-liter bottle from one of the water fountains at his school, how many grams of dissolved solids would his bottle have
50ml = 13mg of dissolved solids
1 litre = 1000 millilitres
2 liter = 2 × 1000 = 2000millilitres
50ml = 13mg
2000ml =
Cross Multiply
2000ml × 13m/50ml
= 520mg of dissolved solids.
We are to convert our final answer to grams
= 1 milligram = 0.001 gram
520 milligram =
520 mg × 0.001g/1 mg
= 0.52 grams of dissolved solids
(5) P-4-7 set up & solve, rate
A gold dredge is a machine that was used in the early 1900s to extract gold from a river or pond. The amount of
dirt a gold dredge can dig in 1 minute is equal to the amount it would take 3 people, each digging at the same
rate, to dig in 1 day. At this rate, how many days would it take 2 persons to dig as much dirt as a gold dredge
can dig in 60 minutes ?
A) 30 B) 45 C) 60 D) 90
Show work please.
Answer:
D) 90 Days
Step-by-step explanation:
dredge 1 min = 3 people days
when I say people days, I mean 3 people working one day
multiply each side by 60 to get the desired 60 min of dredge:
dredge 60 min = 180 people days
As we currently have this set up, it will take 180 people, 1 day to do the same amount of work as 60 min of dredge, but we only want 2 people. This means we need to divide the people days by 2 to get how many days are needed for 2 people, thus:
dredge 60 min = 2 people for 90 days
I need help asap please
Answer:2.25
Step-by-step explanation:
you would move the variables to one side
-9= -6p+5p-3p
Then combine
-9= -4p
Then divide both sides by -4 which equals
2.25=p
Answer:
HKSHKSBSKSBZKSJSJSJKSSKJSSJJZJSKSBSKSKS B)
find x
PLEASE HELP QUICKLY
Answer:
[tex]\boxed{\tt B)\:x=9}[/tex]
Step-by-step explanation:
[tex]\tt 8(8+x+3)=10(10+x-3)[/tex]
[tex]\tt 8(x+11)=10(x+7)[/tex]
[tex]\tt 8x+11=10x+70[/tex]
[tex]\tt 10x-8x=88-70[/tex]
[tex]\tt \cfrac{2x}{2} =\cfrac{18}{2}[/tex]
[tex]\boxed{\tt x=9}[/tex]
~
5) A cellphone company charges a monthly fee of $34.00, plus $0.05 per text message. If you have at most $52 to spend, how many text messages can you send?
Answer:
At most you can send 360 text messages while spending at most $52.
Step-by-step explanation:
Let x = money per text message
34.00 + 0.05x ≤ 52
-34.00 -34.00
[tex]\frac{ 0.05x}{ 0.05}[/tex] ≤ [tex]\frac{18}{0.05}[/tex] = 360
So, at most you can send 360 text messages while spending at most $52.
Answer:
360
Step-by-step explanation:
Give brainliest
Solve the system of equations by multiplying. Check the answer by graphing the system of equations.
{
- 4x + 3y = 15
2x +y = -5
The solution is _______?
- 4x + 3y = 15
2x + y = -5
I multiply x 3 the second equality
we will get
- 4x + 3y = 15
6x + 3y = - 15
difference of the 2 equalities
- 4x - 6x + 3y - 3y = 15 - (-15)
- 10x = 30
x = -3
so - 4*(-3) + 3y = 15
3y = 3
y = 1
check
- 4 * (-3) + 3 * 1 = 12 + 3 = 15
Solve the following system of equations using substitution, show all steps. 2x-4y=20 / x= 4
Answer:
(4, -3)
Step-by-step explanation:
Since we know that X = 4, when can set X = 4 in the other equation in order to solve for Y
2x - 4y = 20
2(4) - 4y = 20
8 - 4y = 20
-8 -8
-4y = 12
-4y/-4 = 12/-4
y = -3
Since we already know X = 4, the intersection point or solution to the System is (4, -3)
Hope this helps!
hello people ~
factorise: 21x²+43-14
Answer:
[tex]\displaystyle [7x - 2][3x + 7][/tex]
Step-by-step explanation:
Find two quantities that when differed to 43, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the minus symbol because the B-value is 43, therefore 49 gets the plus symbol, leaving 6 with the minus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:
[tex]\displaystyle 21x^2 + 43x - 14 \\ \\ [21x^2 - 6x] + [49x - 14] \\ 3x[7x - 2] + 7[7x - 2] \\ \\ \boxed{[7x - 2][3x + 7]}[/tex]
I am joyous to assist you at any time.
[tex]\\ \rm\rightarrowtail 21x^2+43x-14[/tex]
[tex]\\ \rm\rightarrowtail 21x^2+49x-6x-14[/tex]
[tex]\\ \rm\rightarrowtail 7x(3x+7)-2(3x+7)[/tex]
[tex]\\ \rm\rightarrowtail (7x-2)(3x+7)[/tex]
Done!
The linear function y=2x+28 models the average cost of a haircut in a certain city, where y, is the average price of a haircut x years after 2000. Find the slope for the model. Then describe what this means in terms of the unit rate of change in the average cost of a haircut over time.
Answer:
The slope of the model is [tex]m = 2\,\frac{USD}{yr}[/tex].
The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.
Step-by-step explanation:
We have to notice that given function is a linear function, that is, a first order polynomial, whose standard form is described below:
[tex]y =m\cdot x + b[/tex]
Where:
[tex]m[/tex] - Slope, dimensionless.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
In this case, we use the linear function [tex]y = 2\cdot x + 28[/tex], where [tex]x[/tex] is the time after 2000, measured in years, and [tex]y[/tex] is the average cost of a hair cut. The slope of the model is [tex]m = 2\,\frac{USD}{yr}[/tex].
The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.
here, what do we do if it says y=-x or y=x
You plot the points on the graph first with a pencil. Draw the given line, in this case, it's y=-x.
From a point, you do rise and run to the line and reverse it on the other side of the line to get the points.
Refer the attached diagram, for easy method.
Hope it helps :)