Answers
Answer:
[tex]\frac{4}{8}[/tex] = [tex]\frac{x-2}{x+3}[/tex] ( set the two triangles proportional to each other)
4(x+3)= 8(x-2) (Do the distributive property)
4x+12=8x-16
-4x= -28
x=7
Related Questions
Two adjacent sides of a parallelogram are 7cm and 10cm respectively.Find its perimeter
Answers
Answer:
[tex]Perimeter = 34cm[/tex]
Step-by-step explanation:
Given
Represent the adjacent sides with A and B
[tex]A= 7cm[/tex]
[tex]B = 10cm[/tex]
Required
Determine the perimeter
The perimeter is calculated as follows;
[tex]Perimeter = 2 * (L + B)[/tex]
[tex]Perimeter = 2 * (7cm + 10cm)[/tex]
[tex]Perimeter = 2 * (17cm)[/tex]
[tex]Perimeter = 2 * 17cm[/tex]
[tex]Perimeter = 34cm[/tex]
The numbers - 12, -7, -2,3,... follow a pattern. What are the next three
numbers in this pattern?
Answers
Answer:
5
Step-by-step explanation:
A rectangular box has a volume of 108 cubic feet. How many cubic yards are in the volume of this box?
Answers
Answer:
3.996yd³
Step-by-step explanation:
A rectangular box has a volume of 108 cubic feet. How many cubic yards are in the volume of this box?
Given
Volume of a box = 108ft³
We are to convert the dimension to cubic yards. Using the conversion factor
1 ft³ = 0.0370yd³
108ft³ = x
Cross multiply
1 * x = 108 * 0.0370
x = 3.996
Hence the value in cubic yards is 3.996yd³
Answer:
Since there are 3 feet to a yard, there are $3^3=27$ cubic feet to a cubic yard. Thus, there are $108/27=\boxed{4}$ cubic yards in the volume of the box.
Patrick paid $18.70 for a pack of 10 notebooks. Individually, each notebook in the pack costs $ . PLS HELPPPPPP now
Answers
Answer:
$1.87
Step-by-step explanation:
Since the total cost was $18.70 and there are ten in the pack, to find the price of one notebook you just need to divide the total cost by the amount of notebooks there are. So 18.70 divided by 10 is $1.87 for each notebook.
I have 86 chocolate chip cookies and 42 sugar cookies what is the greatest number of identical packages that I can make
Answers
Step-by-step explanation:
Given that,
No. of chocolate chip cookies = 86
No. of sugar cookies = 42
We need to find the number of identical packages that I can make.
It means we need to find the HCF of these 2 number.
Prime factorization of 86 and 42 as follows :
86 = 2 x 43
42 = 2 x 3 x 7
HCF = 2
Hence, I can make 2 identical packages.
Answer:
Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.
86 / 2 = 43 chocolate chips cookies
42 / 1 = 42 sugar cookies
With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.
Two doctors is % of 25 doctors
=_____%
Answers
Answer:
50
Step-by-step explanation:
Answer:
I believe it is 5 percent
Step-by-step explanation:
Hope it helps and is right.
I WILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECT!!
The school library received a donation of 42 boxes of books. Each box contains 15-18 books. The library has 10 empty bookshelves. Each bookshelf can hold up to 60 books. Does the library have enough shelf space for all the new books? Explain how you solved the problem.
Answers
Answer:
No the school libary doesn not have enough pace for all the books. If the least amount of books came which is 15 books in all of 42 boxes (15*42), it would be 630 books and the school libary shelf can only hold 600 books becuase 10 shelves * 60 books on each shelf is 10*60 which is 600. If the least amount of books can’t even fit then the others wold defietnly not fit.
Can you please help do not understand
Answers
A women drives her car 168 miles in 3 hours. At this rate how far will she travel in 5 hours?
Answers
Answer:
280mph
Step-by-step explanation:
168 divided by 3 = mph
Times 5 = Answer
Evaluate | -65 | = ?
Answers
Answer:
65
Step-by-step explanation:
It's the absolute value of -65
Hope this helped, Have a Wonderful Day!!
To test whether an integer, $n$, is prime, it is enough to be sure that none of the primes less than or equal to the square root of $n$ divide $n$. If you want to check that a number between 900 and 950 is prime with this rule, what is the largest prime divisor you need to test
Answers
Answer:
the largest divisor is less than the square root of that number
Step-by-step explanation:
Pick any number between 900 and 950 . For example I choose 937 . Now taking the square root of 937 would give 30.61
So divide 937 with all the primes less than 30.61
937/2, 937/3, 937/5,...................937/29
29 would be the largest divisor which is less than the square root of 937 .
29< 30.61
But if you check 937 does not divide wholly with any of the primes hence it is a prime number itself.
If any number such 925 is chosen and it gets divided wholly by another prime like 5
925 /5= 185 so it is not a prime number
6. Translate statement below. "One less than twice a number. A 1-n² B. 2-1 c. 1-2 D. 2n-1
Answers
um i am not sure! i really am eed help! happy holidays too.
Answers
can someone please help!?
Answers
Answer:
x = 44.4°
Step-by-step explanation:
Use SOHCAHTOA.
In this case, use sine trigonometric function formula
[tex] \sin(x) = \frac{o}{h} [/tex]
The opposite side of angle is 7.
The hypoteneuse is 10.
So,
[tex] \sin(x) = \frac{7}{10} \\ x = \sin ^{ - 1} ( \frac{7}{10} ) \\ x = {44.427}^{o} \\ x = {44.4}^{o} [/tex]
9514 1404 393
Answer:
44.4°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
sin(x) = 7/10
x = arcsin(7/10)
x = 44.4°
find the measure of the line segment RB
Answers
9514 1404 393
Answer:
RB = 16
Step-by-step explanation:
When chords cross, the product of the lengths of the pieces of the chord is the same for all:
RB·RD = RE·RC
RB = RE·RC/RD = 8·14/7 = 8·2
RB = 16
Merry Christmas and Happy New Year!
1. $5,876 are distributed equally among 26 men. How much money will each person get?
Answers
Answer:
226
Step-by-step explanation:
Since the total is $5,876 you want to divide by the number of people 26 to equally split the money.
$5,876/26=226
marking brainiiest Emery makes $15 per hour in addition to 2.25% commission on her sales each week. If her sales were $3,200 last week, how much will Emery be paid if she worked 38 hours?
Answers
Answer:
Step-by-step explanation:
Emery is paid 15 dollars an hour and she worked 38 hours
15*38=570 dollars just from the hourly wage
the commission is 2.25% and her sales were 3,200 dollars
(3200*2.25)/100=72
total=570+72=642
Permutations and Combinations : wake up cereal comes in 2 types, crispy and crunchy. If a researcher has 10 boxes of each, how many ways can he select three boxes of each for a quality control test?
Answers
Answer:
I'm pretty sure theres 11 ways
Find X and Y !!!!!
X=
Y=
Answers
Answer:
x=48 degrees
y=66 degrees
Step-by-step explanation:
180-114=66 degrees
y=66 degrees
180- (66+66)
180-132
48 degrees
x= 48 degrees
I don't really know how to explain it any better but I hope this helps.
Have a great day, you amazing bean child.
- A box contains 7 apples and 5 oranges. The pieces of fruit are taken out of the box, one at a
time and in a random order. What is the probability that the bowl will be empty after the last
apple is taken from the box?
Answers
Answer:
The value is [tex]P( O \ and \ A ) = 0.583[/tex]
Step-by-step explanation:
From the question we are told that
The number of apples is [tex]A = 7[/tex]
The number of oranges is [tex]R = 5[/tex]
Generally the probability that the bowl will be empty after the last apple is taken from the box is mathematically represented as
The probability that 5 oranges and 7 apples are drawn in the 1st 11 draws
So
[tex]P( O \ and \ A ) = \frac{(^5 C_5) * (^7 C_6) }{^{12} C_{11}}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
[tex]P( O \ and \ A ) = \frac{(1 * 7 )}{12}[/tex]
=> [tex]P( O \ and \ A ) = 0.583[/tex]
How do I find where my potato chip went
Answers
Answer:
look around for it maybe it fell under your bed, couch etc just look
Step-by-step explanation:
12 yards = ______________ feet
Answers
Answer:
36 feet
Step-by-step explanation:
One yard is 3 feet.
12 yards * 3 feet = 36 feet
Answer:
36
Step-by-step explanation:
1 yard=3 feet so
12 yards = 3x12 feet
12 yards = 36 feet
Hope this helps! :)
Help me please ASAP PLEASEEEE
Answers
Answer:
1 ,3,4
Step-by-step explanation:
Answer:
1, 4 and 5
Step-by-step explanation:
sorry if im wrong
find the length of the top part of the window shown. The diameter of the Sun in my circle is 63 in in length. Round your answer to the nearest inch
Answers
Answer:
[tex]99\ inches[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Diameter\ of\ the\ Sun\ or\ the\ Semi-Circular\ Window=63\ inches\\Hence\ in\ order\ to\ find\ the\ length\ of\ the\ top\ part,\ we\ need\ to\\ find\ the\ semi-circumference\ of\ the\ window.\\Hence,\\As\ we\ know\ that,\ in\ any\ circular\ figure,\\Radius=\frac{Diameter}{2} \\Hence\ here,\\Radius\ of\ the\ Semi-Circular\ Window=\frac{63}{2}\\Hence,\\As\ the\ Circumference\ of\ a\ circle= 2\pi r[/tex][tex]Hence,\\Semi-Circumference= \frac{Circumference}{2}\\Hence,\\ Semi-Circumference=\frac{2\pi r}{2}\\Semi-Circumference=\pi r\\Hence\ taking\ r=\frac{63}{2}\ and\ \pi =\frac{22}{7} ,\\The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window=\pi *\frac{63}{2} \\The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window= \frac{22}{7}*\frac{63}{2}\\[/tex]
[tex]The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window= 11*9=99\ in\\Hence,\\The\ length\ of\ the\ top\ part\ of\ the\ window= 99\ inches[/tex]
Answer:34)63
Step-by-step explanation:
Simplify the expression 0.8+0.65÷0.75
Answers
Answer:
1.66 (appx)
Step-by-step explanation:
According to BODMAS rule , we should solve division operation in the expression first , then we'll finish the addition opearation .
[tex]0.65 \div 0.75 + 0.8[/tex]
[tex] = > \frac{65}{100} \div \frac{75}{100} + \frac{8}{10} [/tex]
[tex] = > \frac{65}{100} \times \frac{100}{75} + \frac{8}{10} [/tex]
[tex] = > \frac{13}{15} + \frac{8}{10} [/tex]
[tex] = > \frac{(13 \times2) + (8 \times 3) }{30} [/tex]
[tex] = > \frac{50}{30} = \frac{5}{3} = 1.6666.........[/tex]
Vuu try further gridiron
Answers
Answer:
A. M and P
Step-by-step explanation:
To be perpendicular, they only need to have opposite reciprocal slope. For example, the lines, y=3x+8 and y= -(1/3)x-3 would be perpendicular because -1/3 is the opposite reciprocal of 3.
is this gear reduction direct drive or overdrive
Answers
Answer:
overdrive
Step-by-step explanation:
i have nun but thuis it
Answer:
overdrive
Step-by-step explanation:
gear reduction. refers to the 5th and 6th gear
write the polynomial in standard form given these zeros [-1; 3; 4]
Answers
Answer:
ummmm donooo
what sis this
help if you know how to do this- brainliestt
Answers
Answer:
95.5°F
Step-by-step explanation:
Given the regression equation :
y = 1.8x - 76.9 ; the relationship between temperature (°F) and number of ice cream sold
y = number of ice cream sold
x = temperature (°F)
The temperature when 95 iccream cones are sold will be ;
Here, y = 95
Using the model :
95 = 1.8x - 76.9
95 + 76.9 = 1.8x
171.9 = 1.8x
Divide both sides by 1.8
171.9 / 1.8 = x
95.5°F = x
Hence, temperature when 95 cones of ice-cream are sold is 95.5°F
Page 2 I need help with this whole page! And be careful, my teacher said “think about what part of the equation deals with price “
Answers
Answer:
a) Already correct
b) If x represents each one dollar increase in price, than prices that are increased by $16 and $28
c) $6
d) Maximum Revenue would be $2,420
e) x = -5 but it's extraneous
(if we were using imaginary numbers then it would be 5i)
Step-by-step explanation: