Answer:
60T = 12x - 1
Step-by-step explanation:
In speed distance and time, time(t) is given by
time = distance(d)/speed(s)
total distance ran = x miles
case 1
d = 1 mile
speed = 4 miles per hour
as time = distance(d)/speed(s)
t = 1/4
____________________________
case 2
speed = 5 miles per hour
it is given that out of x miles for first mile and last mile her speed was 5 miles per hour
thus distance for this speed can be calculated by
subtracting first and last mile from x miles
therefore
distance = x-2 miles\
t = (x-2)/5
_____________________________________
case 3
distance = 1 mile
speed = 6 miles per hour
t = 1/6
______________________________
Total time T as required will be sum of time for the 3 case calculated above
T = 1/4 + (x-2)/5 + 1/6
T = 1/4 + (x - 2)/5 + 1/6 (taking LCM of 6,5,4 as 60 and solving)
T = (15 + 12x - 24 + 10)/60
T = (12x - 1)/60
60T = 12x - 1
Thus, equation 60T = 12x - 1 represents her time T
An art teacher buys 9 bags of cotton balls there are 68 cotton balls in each bag whitch expression is best to estimate the number of cotton balls there teacher buys
Answer:
612
Step-by-step explanation:
9 x 68 = 612
Henry is mixing concrete. To make concrete he needs to mix cement, sand and gravel in the ratio 1 : 4 : 7 by weight. Henry needs to make 180kg of concrete. He has 16kg of cement, 60.5kg of sand and 100kg of gravel. Which ingredient is Henry short of?
Answer:
Henry is short of gravel
Step-by-step explanation:
Here, we are to identify which of the ingredients Henry is short of.
To identify this ingredient, what is needed to be done is to share the 180kg of concrete appropriately to get which of the material does not meet its ratio and thus allowing us know which is insufficient.
The total ratio is 1 + 4 + 7 = 12
For cement, we have ;
1/12 * 180 = 15 kg
For sand, we have
4/12 * 180 = 60kg
For gravel, we have
7/12 * 180 = 105 kg
From the values in the question, we can see that all the values we have are greater what is shared in the ratio except in the case of gravel. So we can confidently say he is short of gravel
How much water will it take to fill the aquarium?
Please anawer this question. Will put as brainliest if i get an answer
Answer:
4096
Step-by-step explanation:
You multiply 32 in. by 8 in. by 8 in.
Answer:
4096
Step-by-step explanation:
to find volume you can just multiply length, width, and height together :) Hope this helps!!! ❤
Find the center and radius when x^2+y^2+4x-4y=17
Answer:
the center is (-2,2) and the radius is 5
Answer:
Center: (-2,2)
Radius:5
Step-by-step explanation:
The first step in this problem is to complete the square and to find the equation of this circle in standard form.
[tex]x^2+y^2+4x-4y=17[/tex] can be rearranged to be:
[tex]x^2+4x+y^2-4y=17[/tex]
Now, you can begin to complete the square with both the x and the y:
[tex](x^2+4x+4)-4+(y^2-4y+4)-4=17[/tex]
Adding 8 to both sides and finishing the squares:
[tex](x+2)^2+(y-2)^2=25[/tex][tex](x+2)^2+(y-2)^2=25[/tex]
The coordinates of the center of the circle are (-2,2), and the radius is [tex]\sqrt{25}=5[/tex]. Hope this helps!
Divide. Write the quotient in lowest terms. 4\dfrac{2}{3} \div 7 =4 3 2 ÷7=4, start fraction, 2, divided by, 3, end fraction, divided by, 7, equals
Answer:
[tex]\dfrac{2}{3}[/tex]
Step-by-step explanation:
Given the quotient: [tex]4\dfrac{2}{3} \div 7[/tex]
Step 1: Write [tex]4\dfrac{2}{3}[/tex] in improper fraction.
[tex]4\dfrac{2}{3}=\dfrac{14}{3}[/tex]
Therefore:
[tex]4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7[/tex]
Step 2: Change the division sign to multiplication by taking the reciprocal of 7
[tex]\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
i did it in khan academy
Complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y. At this rate, how many people can be transported on 40 buses?
Answer:
[tex]y = 40\cdot k[/tex]
Step-by-step explanation:
Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:
[tex]y \propto x[/tex]
[tex]y = k \cdot x[/tex]
Where [tex]k[/tex] is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:
[tex]y = 40\cdot k[/tex]
Answer:
The first answer is ''y=45 x''
1800 people for the second one
cards in a pack are black or red in the ratio black : red=2 : 5
What fraction of the cards are red?
Answer:
5/7
Step-by-step explanation:
There are 5 red cards and 7 cards in total. Add the number of black card , 2, to the number of red cards, 5, to get the total number of cards. Then, put the number of red cards as the numerator an the total number of cards as the denominator.
Feel free to correct me if I'm wrong
I have Atlanta... please and thank you :)
Answer:
?
Step-by-step explanation:
Answer:
Hi! I was looking at this question and it has confused me what do you want to be answered if you let me know that would be great! Thank you.
Hope this Helps :)
A cookie fatory puts 1/4 of a barrel of flour into each batch of cookies.how much flour will the factory use for 5/6 batches
Answer:
3 1/3 batches
Step-by-step explanation:
you can divide 1/4 and 5/6 to find how many in each batch.
True or False: "What is the height of the tallest person in my class" is a statistical question
Answer:
it is true
Step-by-step explanation:
because a statistical question is a question that has more than one possible answer so it can have a variety of answers. in other words more than 1 answer.
hope this help :-)
help please!! 10 points <3
Answer:
x = 5
Step-by-step explanation:
15 / 3 =5
The sum of the three numbers is 180. The first number is 10 more than the mean of the three numbers and the second number is 4 less than the mean. What is the third number?
Answer:
The third number (c) is 54.
The other ones are 70 and 56.
Step-by-step explanation:
We have 3 numbers, let's call them a, b and c.
We know that the sum of the three numbers is 180, thus:
[tex]a+b+c=180[/tex]
We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:
[tex]a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30[/tex]
Finally the second number is 4 less than the mean:
[tex]b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12[/tex]
Now we have our set of equations and we can proceed to solve them:
[tex]a+b+c=180\\2a=b+c+30\\2b=a+c-12[/tex]
Solving for a in our first equation we have: [tex]a=180-b-c[/tex] and substituting this in our second equation we have:
[tex]2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c[/tex]
Now taking this last result into our first equation we have:
[tex]a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70[/tex]
Now we are going to solve for b in our second equation and substitute this in our third equation: [tex]b= 180-a-c[/tex]
[tex]2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c[/tex]
But we know that a =70, so we can substitute it in our last line:
[tex]124=a+c\\124=70+c\\54=c[/tex]
Now we just need to find b and we can use our first original equation to do this:
[tex]a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56[/tex]
Freemont Run Club surveyed a random sample of 30 members about their running habit. Of the members surveyed, 9 said that they run more than 5 days a week. There are 84 Freemont Run Club members.
What is the most reasonable estimate for the number of Freemont Members who run more than 5 days a week
Answer:
i think its 420
Step-by-step explanation:
If I have 21 cone shaped hats with a diameter of 16in and height of 9in. How much paper do I need to cover the hats?
Answer:
10584 inches of paper
Step-by-step explanation:
to find the surface area of a cone the formula you use is A= πr(r+h2+r2) *you need to divide 16 by two to find the radius 16 is the diameter*
and this subsituted is π8(8+9(2)+8(2)) and this equals 504 inches and you then multiply by 21 to get enough paper to cover all 21 cones and that equals 10584 inches
Solve the following inequality for hh. Write your answer in simplest form.
h-8>4h+5
Answer:
h<-13/3
Steps:
Move variable to the left side and change its sign
h-4h-8>5
Move constant to right and change its sign
h-4h>5+8
Collect like terms
-3h>5+8
Add the numbers
-3h>13
Divide both sides of the inequality by -3 and flip the inequality sign
h<-13/3
Another quadratic formula and the discriminant problem that I am stuck on. the answer is {2, 1/2}
Answer:
See explanation
Step-by-step explanation:
[tex]2b^2-5b+2=0[/tex]
[tex]b=\dfrac{5\pm\sqrt{25-16}}{4}=\dfrac{5\pm3}{4}=\dfrac{8}{4}, \dfrac{2}{4}=2,1/2[/tex]
Hope this helps!
25POINTS!!!
In ΔFGH, h = 7.1 cm, f = 6.7 cm and ∠G=103°. Find the length of g, to the nearest 10th of a centimeter.
Answer:
10.8 cm
Step-by-step explanation:
Using cosine law
g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)
g² = 116.7018433
g = 10.80286274
Answer:
10.8
Step-by-step explanation:
deltamath
PLEASE HELP!!!!!The table below shows the data for a random sample of fish that were collected from and later released into a lake:
Type of Fish Catfish Grass Carp Bluegill
Number of Fish 52 61 87
How many bluegills are estimated to be present if a sample of 800 fish is collected from the lake? (5 points)
148
174
244
348
Answer:B
Step-by-step explanation:
All you have to do is multiply
What is the answer to this question? :)
Answer: The answer for this question is C.
Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?
Answer:
Can’t really understand your question!!
hello i attached a picture of a simple trigonometry question please help <3
Side CD has a length of 11.67
30 POINTS!!!
The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.
Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given
Answer:
As described, the classification of random variables should be:
Number of math courses, discrete; weight of backpack, continuous.
Hope this helps!
:)
Answer:
Number of math courses, discrete; weight of backpack, continuous
Step-by-step explanation:
Hope this helped! stay safe! ;D
Can you please help me with this question please please help me
Answer:
i think the answer is [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \geq \neq \sqrt{x} x^{2} \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \leq x_{123} \\\int\limits^a_b {x} \, dx[/tex]
Step-by-step explanation:
[tex]x^{2} \int\limits^a_b {x} \, dx \sqrt{x} \sqrt[n]{x} \frac{x}{y} \alpha x_{123}[/tex]
In how many ways can you cut out and rearrange the letters of the
word MATH? Show your samples or ways.
Answer:
HAT AM
HAM
MAT
AT
Step-by-step explanation:
(if you can repeat the letters)
THAT
hopefully this helps and i didnt miss any words
Four families are travelling. Order their speeds from least to greatest.
Sapons
80 km in 2 h
Silvers
180 km in 3 h
Johns
50 km in 1 h
Cunninghams
35 km in 30 min
(please help)
Step-by-step explanation:
We're going to convert all of these to km/h.
Sapons: 80km/2h => 40kmh
Silvers: 180km/3h => 60kmh
Johns: 50kmh
Cunninghams: (to get the 30 mins to 60 mins, multiply the top and the bottom by 2) 35km/30min => 70kmh
Now that they're all in the same form we can put them from least to greatest.
Answer:
(Least) - Sapons
- Johns
-Silvers
(Greatest) - Cunninghams
Does anyone know what 6.04 x 10^-3
Answer:
.00604
Step-by-step explanation:
when multiplying by a negative exponent move the decimal to the left
10^-3 move the decimal 3 spaces to left
.00604
Suppose you arrange 50 counters into rows. The first row has 4 counters. Each row after that has 3 more counters than the row before. How many rows do you need to make to use all 50 counters? nothing rows
Answer:
20
Step-by-step explanation:
hope it right not the best with counting
Solve using substitution please help!!!
I hope this helps you
Answer:
The solution of the system is: A
Step-by-step explanation:
[tex]\left \{ {{12x-9y=30} \atop {6x+15y=54}} \right. \\\left \{ {{x=\frac{30+9y}{12} } \atop {6x+15y=54}} \right. \\\left\{ {{x=\frac{30+9y}{12}} \atop {6*\frac{30+9y}{12}+15y=54}} \right. \left \{ {{x=\frac{30+9y}{12}} \atop {15+\frac{9}{2}y+15y=54 }} \right. \\\left \{ {{x=\frac{30+9y }{12}} \atop {y(\frac{9}{2}+15) )= 39}} \right. \\\left \{ {{x=4} \atop {y=2}} \right.[/tex]
Write a quadratic equation to represent a function with a vertex of (-3, 2) that passes
through the point (-1,22). Put your equation in vertex form.
Answer:
use phototmath
Step-by-step explanation:
Correct answers only!
To the nearest cent, how much will she have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $6.62
Step-by-step explanation:
This problem is very similar to the one I answered previously. We are given our p, r, and t.
p=6 ($6)
r=0.05 (5%)
t=2 (years)
With the given information, we can plug this into the equation:
B=p(1+r)^t
B=6(1+0.05)^2
B=6.615
Our final amount is $6.62.
Let me know if there are any problems.
