Answer:
x = -47/6
Step-by-step explanation:
Simplify both sides of the equation : 13x + 20 = 7x - 27
Subtract 7x from both sides : 6x + 20 = -27
Subtract 20 from both sides : 6x = -47
Divide both sides by 6 : 6x/6 = -47/6
Answer : x = -47/6
arrange the given the decimals in ascending order from least to greatest
To arrange in ascending order means to arrange numbers from the smallest value to the greatest value in the set of numbers provided.
9) 3.021 < 3.12 < 3.121 < 3.21
Look at the 1st decimal place after the point first. 0 is less than 2 & 1, so 3.021 is the least number. Now, for 3.12 & 3.121, look at the 3rd place. 3.12 = 3.120, so it’s smaller than 3.121. Then comes 3.21 which is the greatest number in this set.
10) 5.0090 < 5.05 < 5.059 < 5.5
Here, 5.0090 is the smallest number. Then comes 5.05 = 5.050 which is smaller than 5.059. 5.5 is the greatest number.
_________
RainbowSalt2222 ☔
A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.
Answer:
75 percent
Step-by-step explanation:
see the thing is
The probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.
What is combination?Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.
A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.
Number of ways to choose 5 sedimentary from 7 sedimentary is,
[tex]^7C_5=\dfrac{7!}{(7-5)!5!}\\^7C_5=\dfrac{7\times6\times5!}{2!5!}\\^7C_5=\dfrac{7\times6}{2\times1}\\^7C_5=21[/tex]
There are total 23 rocks (9+7+7). Number of ways to choose 7 rocks from 23 rocks is,
[tex]^{23}C_5=\dfrac{23!}{(23-5)!5!}\\^{23}C_5=\dfrac{23!}{18!5!}\\^{23}C_5=33649[/tex]
Thus, the probability that exactly 5 are sedimentary is,
[tex]P=\dfrac{21}{33649}[/tex]
Hence, the probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.
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55. H(x) = – 3x² + 6x
=
Answer:
Well this is a function/ quadratic question.
So using this info we can make this into a standard form for quadratics which is
ax^2+bx+c=0
In this case c is 0 and we cna just make everything else equal to zero so.
-3x^2+6x=0
Now with this we can use the quadratic formula
-b±√(b²-4ac)/(2a)
So pluggin everything in
X=-6±√(6²-4(-3)0)/(2(-3))
Now we solve
36/-6
or -6
Now we just do
-6±-6
x= -12
x= 0
These are your answers
x=-12
x=0
What is 3 4/5÷(−1 1/10)?
Write the answer as a mixed number in simplest form.
you make 12 equal payments your total is 1308 how much is each payment
Answer:
109 is the correct answer
Which side lengths could NOT form a triangle?
Answer options:
5 m, 6 m, 8 m
10 m, 10 m, 2 m
19 m, 34 m, 15 m
3 m, 16 m, 14 m
The sides for which a triangle is not possible are 19 m, 34 m, 15 m. The correct option is (c).
What is a triangle?A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
The given options are considered one by one
(a) 5 m, 6 m, 8 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 8.
Since 5 + 6 > 8, the given sides can form a triangle.
(b) 10 m, 10 m, 2 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 10.
Since 10 + 2 > 10, the given sides can form a triangle.
(c) 19 m, 34 m, 15 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 34.
Since 19 + 15 = 34, the given sides cannot form a triangle.
(d) 3 m, 16 m, 14 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 16.
Since 14 + 3 > 16, the given sides can form a triangle.
Hence, the sides that cannot form a triangle are 19 m, 34 m, 15 m.
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Rajni bought 2 1/2 kg onion at ₹ 30 1/2 per kg. Find the amount spent by Rajni
Step-by-step explanation:
Given that
The cost of 1 kg onions = Rs. 30 1/2
The cost of 1 kg onions = Rs. 61/2
If Rajini bought 2 1/2 kg onions then
The total cost of 2 1/2 kg onions
→ 2 1/2 ×( 61/2)
→ (5/2)×(61/2)
→ (5×61)/(2×2)
→305/4
Rs. 305/4 or Rs. 76 1/4
The cost of 2 1/2 kg onions is Rs. 76 1/4.
What is one website you can visit in order to request free credit report from any of the three bureaus?
Answer: annualcreditreport.com
Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228
Is this statement true or false:
a - b = b - a
True
False
Answer:
False
Step-by-step explanation:
positive A and negative B does not equal positive B and negative A
Answer:
FALSE
Step-by-step explanation:
Pls help me if i got to fimd the quotient and it is due pls help if I got any of them wrong ple put it in the answer NO LINK YA SCAMMERS I don't even have anything for yall to steal from me
Answer:
4.75 divided by 5 =0.95
Step-by-step explanation:
geomtry plz help 15 points
Answer:
m∠A=88°
Step-by-step explanation:
∠ABC=∠ACB=46° (base angles of isos triangle)
∠BAC=180°-46°-46° (angle sum of triangle)
=88°
Is 0.225 a rational number?
Answer:
Maybe
Step-by-step explanation:
maybe
Answer:
yes because it can be written as a fraction 225/1000
15. A farmer records the number of eggs that chickens on the farm produce each week. The table
shows the results.
143
160
117
137
152
108
128
If during the next week, the chickens on the farm produce 60 eggs, which statement is true?
A The value 60 is an outlier that will skew the data to the left.
B The value 60 is an outlier that will skew the data to the right.
С The value 60 is not an outlier, and it will not skew the data in either direction.
D
The value 60 is not an outlier, and the effect on the data is unknown.
What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?
y−1=8/9(x−4)
y+1=8/9(x+4)
y+4=9/8(x+1)
y+1=8/7(x+4)
Answer:
y+1=8/9(x+4)
Step-by-step explanation:
Tell me if you want one!
Do the following tasks by the help of STATA software. You need to devote first 30 minutes of your time for these tasks.
a) Use auto.dta which is an example dataset for this question.
The study claims that average price of foreign cars is more than average price of domestic cars. Check validity of this claim by using dataset. Explain and mention all steps that are necessary for decision. (4 points)
b) Use nlsw88.dta. Find the standard deviation, the mean and the number of observation of age variable (age) for the people who work less than 32 hours (hours variable) or wage is greater than 10. (4 points)
c) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. Find the standard deviation, the mean and the number of observation of safewater variable (safewater) for the countries with GNP variable (gnppc) greater than 5000 and life expectancy (lexp) is greater than 55. (4 points)
d) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. We have 6 different variables in this dataset. Which variable has string values? Which STATA command is used in order to find the string values in dataset? What are the effects of large amount of string values in dataset?
If a cooler contains six cola, two grape, two orange, and four lemon-lime sodas, what is the probability of selecting a cola, giving it to your friend, then selecting another cola for yourself?
Answer:
ok so first of all there is 14 sodas in the cooler(6+2+2+4)
and 6 of these 14 are cola 6/14 or 3/7
so 3/7 then to give your self one we multiple it by 3/7
3/7*3/7=0.18367346938
we multiple by 10
18.367346938
so the probility is 18.37%
Hope This Helps!!!
Jessica's dog weighs 117 pounds. Her dog weighs 3 times as much as Evan's dog weighs.
How much does Evan's dog weigh?
Answer:
the answer is expkained below
Answer:
Evans dog would weigh 39 pounds
Step-by-step explanation:
117= 3 × X
Take 117 and divide it by 3 and the answer we would get is 39
117 ÷ 3 = 39
To double check the answer we could multiply 39 by 3 to see if we 117.
39 × 3 = 117
X= 39 pounds, so Evans dog is 39 pounds
If the perimeter of an isosceles triangle is
21cm. Find the product of the other two side if the base
side is 9cm
Answer:
6 cm for both sides
Step-by-step explanation:
The ratio of boys to girls is 7:5. The ratio of boys with glasses to boys without glasses is 1:6. The ratio of girls with glasses to girls without glasses is 1:3. What fraction of students wear glasses?
Answer:
3/16
Step-by-step explanation:
Boys with glasses are 1/(1+6) = 1/7 of boys. Boys are 7/(7+5) = 7/12 of the group.
Girls with glasses are 1/(1+3) = 1/4 of girls. Girls are 5/(7+5) = 5/12 of the group.
The fraction of the group that wears glasses is ...
(1/7)(7/12) +(1/4)(5/12) = 1/12 +5/48 = 9/48 = 3/16
3/16 of the students wear glasses.
_____
Additional comment
It appears we can choose a multiple of 48 students to work out the detailed numbers. For 48 students, the ratio of boys to girls is 28 : 20. The ratio of boys with glasses to those without is 4 : 24, and the similar ratio for girls is 5 : 15. In our group of 48 students, 4 boys and 5 girls = 9 students wear glasses. The fraction is 9/48 = 3/16 as shown above.
Help help hep helphelp help
Answer:
32 qt = 8 gal
Step-by-step explanation:
1 qt x 32 = 1/4 gal x 32
32 qt = 32/4 gal
32 qt = 8 gal
Help please
Answer question 2 please
On the list of facts, the second fact says "A quarter of the nuts are walnuts.".
A quarter of 956 is => 239 <= .
A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?
A r-3/5
B r x 3/5
C r+3/5
D ÷3/5
Answer:
D ÷3/5 that's the answer i think I worked it out myself
2. What is the largest composite number less than 40?
Answer:
39
Step-by-step explanation:
39
Step-by-step explanation:
13 × 3 = 39
The largest composite number less than 40 is 39
What is the meaning of the point shown on this graph?
Mysha’s Height
A: Mysha was 12 inches tall at age 2 1/2 years
B. Mysha was 30 inches tall at age 1 year
C: Mysha was 12 inches tall at the ago 30 months
D: Mysha was 30 inches tall at age 12 years
what is 1,623 x 2,908? please help
Answer:
1,623 x 2,908 = 4,719,684
Answer:
4719684
Step-by-step explanation:
Tell me if you want one.
A tin of paint costs £4.87. Helen buys 19 tins of paint. Work out an estimate for the total cost.
Answer:
100 Estimate
Step-by-step explanation:
Closest To 4.87 Is 5
Then 19 Is close to 20
So, then 5*20=100.
what is 3a² bc
² if a= 2 b =3 c =4
Answer:
If a=2, b=3, c=4,
3a²bc = 3(2)²(3)(4)
= 3×4×3×4
= 12²
= 144
Answer:
the answer is 144
Step-by-step explanation:
3a²bc
=3×2×2×3×4
=3×4×12
=12×12
=144
Ryan drove 205 miles in 5 hours. If he drove at a constant rate, how far did he travel in one hour?
Answer: 41 miles
Step-by-step explanation:
Answer:
41 miles
Step-by-step explanation:
41 miles in a hour rate.
(−2 1/5) × (−5 3/4) as a fraction
Answer:
-23 over 10
Step-by-step explanation:
Hope this helped :)
Answer:
253/20
Step-by-step explanation:
(−2 1/5) × (−5 3/4) =
1. change both mixed numerals into fractions.
= -11/5 × (-23/4)
2. Since both numbers are negative, the product is positive. Multiply both numerators together. Multiply both denominators together.
= 253/20
253 is the product of 2 prime numbers, 11 and 23. 20 is the product of 2² and 5. There are no common factors in the numerator and denominator, so this fraction cannot be reduced.
Answer: 253/20
Nina and Jo both ran a 9 km race.
Nina took 1 hour 15 minutes to run the whole race.
Jo started the race 4 minutes later than Nina but caught up when they had both travelled 6 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
9514 1404 393
Answer:
7.83 km/h
Step-by-step explanation:
At her constant pace, Nina's time for 6 km will be found by the proportion ...
(time for 6 km)/(6 km) = (time for 9 km)/(9 km)
time for 6 km = (6 km)/(9 km) × (75 min) = 50 min
Jo's time for the same distance will be 4 minutes less: 50 -4 = 46 min. Jo's speed is ...
speed = distance/time
= (6 km)/(46/60 h) = 360/46 h ≈ 7.83 km/h . . . . Jo's speed
_____
Additional comment
From the 6 km point, the remaining race is half the distance already run, so will take half the time already taken. As we know, Nina will finish in 25 more minutes; Jo will finish in 46/2 = 23 more minutes, 2 minutes ahead of Nina.