Answer:
Step-by-step explanation:
36 = 6* 6 = 2* 3 * 2* 3 = 2*2*3*3
180 = 2 * 2 * 3 * 3 * 5 = 2 * 2 * 3*3*5
[tex]\frac{36}{180}= \frac{2*2*3*3}{2*2*3*3*5} = \frac{1}{5}[/tex]
Factors that are common will be cancelled
What is the solution to this equation?
2 x + 10 = 28
Record your answer in the space provided. Be sure to use the correct place value.
Answer:
[tex]2x + 10 = 28 \\ 2x = 28 - 10 \\ 2x = 18 \\ 2x \div 2 = 18 \div 2 \\ x = 14[/tex]
whats the volume (5 points)
what is the slope of the line in the graph below ?
Answer:
Step-by-step explanation: The slope of a line is rise over run. Learn how to calculate the slope of the line in a graph by finding the change in y and the change in x.
A bullet fired from a gun has a muzzle velocity of 3510 km per hour how long dies it take to travel 100m
Answer:
A bullet fired from a gun has a muzzle velocity of 3510 km per hour how long dies it take to travel 100m
Step-by-step explanation:
Given :
Velocity of bullet = 3510 km/hr
Distance traveled = 100m
Converting distance in meter to kilometer :
(100 / 1000) km = 0.1 km
Recall :
Speed = Distance /time
Time taken = Distance / speed
Therefore,
Time taken = Distance / speed
Time taken = 0.1 km / 3510 km/hr
Time = 2.849 * 10^-5 hour
solve all of these ?
21 Answer:
[tex] \frac{3}{a} [/tex]
22 Answer:
[tex] \frac{1}{ {b}^{3} } [/tex]
23 Answer:
[tex] \frac{ {4a}^{2}c^{3} }{ {b}^{2} } [/tex]
24 Answer:
[tex]9c ^{4} [/tex]
25 Answer:
[tex] - \frac{1}{ {a}^{2} } [/tex]
26 Answer:
[tex] \frac{1}{ {c}^{2} } [/tex]
Find the value or measure. Round answers to the nearest tenth, as needed.
Answer:
26
Step-by-step explanation:
Solve 9x-1 = 41-5x
9x-1 = 41-5x
+1 +1
9x = 42-5x
+5x +5x
14x = 42
/14 /14
x = 3
Plug in X for EF
41-5(3)
41-15
=26
A dump truck delivers dirt for $6 per cubit foot. The dimensions are 4 3/4 ft by 8 ft by 17 ft. How much does a full load of dirt cost
Answer:
None. There can't be any dirt in it because it's a hole.
Step-by-step explanation:
.What is the perimeter of the figure below?*
2 in
9 in
2 in
11 in
Please help!
Answer:
I think 24
Step-by-step explanation:
11+9=20+2+2=24
The solution to 8x = 32 is x = ___.
a.3
b.4
c.5
d.6
Answer:
b.4
Step-by-step explanation:
8x=32
x = 32 / 8
x = 4
A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 11100 dollars?
The duration of time period required is 2.4 years.
What is a compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually.
A = P(1+r/100)ⁿ
n = time
A = amount
P = principal
11100 = 3500(1+0.0625)ⁿ
3.171 = (1.0625)ⁿ
Taking log to both sides,
log(3.171) = nlog(1.0625)
n = 2.40
Hence, the required time is 2.4 years.
For more references on compound interest, click;
https://brainly.com/question/14295570
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PLSS HELPP!!! I WILL BE GIVING BRAINLIEST AND POINTS:(!!
Answer:
A≈1628.55
Step-by-step explanation:
A=(6ah)+3sqr3a^2=6·8·27+3·sqr3·8^2≈1628.55376
Someone help please
Answer:
-2x2 y1/3
Step-by-step explanation:
Last year, there were 120 students in the
marching band. This year, there are 138.
What is the percentage of increase or decrease?
Answer:
The increase is 15%
Step-by-step explanation:
Hope this helps!
Find the length of side x in the simplest radical form with a rational denominator.
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:
[tex]tan(45)=\frac{x}{\sqrt{2}}[/tex]
Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:
We multiply the denominator of the fraction by [tex]\sqrt{2}[/tex]. [tex]\sqrt{2}[/tex] multiplied by itself is simply 2. Try it! We also want to multiply the numerator by [tex]\sqrt{2}[/tex], but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:
[tex]tan(45)=\frac{x\sqrt{2} }{2}[/tex]
Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.
[tex]\frac{x\sqrt{2} }{2*2} =x\sqrt{2}[/tex]
[tex]tan(45)*2=2[/tex]
We can plug 2 in for the x in the numerator now:
[tex]\frac{2\sqrt{2} }{2}[/tex]
2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of [tex]x=\sqrt{2}[/tex]
Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)
lec types 3/5 of a paragraph in 2/3 minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in 1 minute?
Answer:
ik you in MS 118 but still the answer is 9/10
Step-by-step explanation:
multiply by the reciprocal 3/2.
3/5x3/2=9/10
William bought some cashews and walnuts. Spending the same amount of money as William, his twin Jillian bought twice as many cashews and 10 less walnuts. If the cost of one walnut is 2 more than the cost of cashew, then what is the minimum possible number of cashews bought by the twins together?
Answer: 33
Step-by-step explanation:
Given
The cost of one walnut is 2 more than the cost of a cashew
Jillian bought twice the amount of cashew as William and 10 fewer walnuts
Suppose the price of cashew and walnuts be x and x+2
Assume William bought a cashew and b walnuts
Money spent by Willian
[tex]\Rightarrow W=a(x)+b(x+2)[/tex]
Money spent by Jillian
[tex]\Rightarrow J=2a(x)+(b-10)(x+2)[/tex]
They spent equal money i.e.
[tex]\Rightarrow ax+bx+2b=2ax+bx+2b-10x-20\\\Rightarrow ax-10x-20=0\\\Rightarrow (a-10)x=20\\\text{Here product of two number is 20 , so both must be greater than 0}\\\therefore a-10>0\\\Rightarrow a>10\\\text{i.e. minimum value of a is 11}[/tex]
The amount of cashew both twins bought is a+2a=3a
[tex]\Rightarrow 3a=3\times 11=33[/tex]
Find the equation of the line below.
(3,1)
Answer:
B
Step-by-step explanation:
the answer is B.the equation of the line
At the beginning of March, a store bought a rake at a cost of 9$ and marked it up 130%. At the end of the month, the rake had not sold, so the store marked it down 50%. What is the discounted price?
Answer:
the new discounted price is $5.85
Step-by-step explanation:
First convert 130% into a decimal: 130 ÷ 100 = 1.3
Next multiply 1.3 by 9: 9 x 1.3 = 11.7
Then convert 50% into a decimal: 50 ÷ 100 = 0.5
Last multiply 11.7 by 0.5: 11.7 x 0.5 = 5.85
In 2005 the U.S. Census Bureau reported that 68.9% of American families owned their homes. Census data reveal that the ownership rate in one small city is much lower. The city council is debating a plan to offer tax breaks to first-time home buyers in order to encourage people to become homeowners. They decide to adopt the plan on a 2-year trial basis and use the data they collect to make a decision about continuing the tax breaks. Since this plan costs the city tax revenues, they will continue to use it only if there is strong evidence that the rate of home ownership is increasing. a) In words, what will their hypotheses be
Answer:
H0 : Number of homeowners stays the same
H1: Number of homeowners increases.
Step-by-step explanation:
The hypothesis is to test if the level of home ownership rises or doesn't.
For this type of experiment,
The null hypothesis is the current level of home ownership.
The alternative hypothesis which is usually the opposite of the null is meant to challenge the claim of the Null. Hence, the null hypothesis will support the claim or hypothesis of the study, which is that the number of homeowners increases, hence, does not remain the same.
Therefore,
H0 : Number of homeowners stays the same
H1: Number of homeowners increases.
PLEASE HELP I HAVE 30 MINUTES UNTIL CLASS ENDS PLEASE HELP
Answer:
12 stamps
Step-by-step explanation:
6 divided by 0.50 = 12
Answer: it’s 12
Step-by-step explanation: all I did was multiplied 6 by .50
Hope this helps!
Determine the intercepts of the line.
y = -32 + 12
Y-
X-
Answer:
y = − 20
x = none
Step-by-step explanation:
There is no X intercepts
-32 + 12 = 20
Can someone help me with this ASAP please I’m being timed !
Answer:
b. y = 5/3x
Step-by-step explanation:
i hope this helps :)
What is the rate of change in the equation?
Answer:
-5
Step-by-step explanation:
The rate of change is normally the number not attached to X so in this equation it is-5.
7.
Wendy is paid $12 per hour and plans to work between 30 and 35 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.
A. weekly pay; hours worked; $360 to $420; 30 to 35 hours
B. hours worked; weekly pay; 30 to 35 hours; $360 to $420
C. weekly pay; hours worked; 30 to 35 hours; $360 to $420
D. hours worked; weekly pay; 30 to 35 hours; $0 to $420
Answer: I'm gonna go with B. hours worked; weekly pay; 30 to 35 hours; $360 to $420, because I had something similar to this
Wendy is paid $9 per hour and plans to work between 20 and 25 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.
weekly pay; hours worked; 20 to 25 hours; $180 to $225
hours worked; weekly pay; 20 to 25 hours; $180 to $225
weekly pay; hours worked; $180 to $225; 20 to 25 hours
hours worked; weekly pay; 20 to 25 hours; $9 to $225
Step-by-step explanation:
The independent quantity is her pay and the dependent quantity is the hours she works in a week.
I believe the range would be 30 to 35 hours and the domain would be $360 to $450.
...................................................................................................................................................
Answer:
Part a) The independent quantity is the variable x (the number of hours) and the dependent quantity is the variable y (total paid)
Part b) Domain
Part c) Range
Step-by-step explanation:
Let
x------> the number of hours
y-----> total paid
The linear equation that represent this situation is
so
Part a)
The independent quantity is the variable x (the number of hours)
The dependent quantity is the variable y (total paid)
Part b) Find the domain
The domain is the interval-------->
All real numbers greater than or equal to hours and less than or equal to hours
Part c) Find the range
For
find the value of y
For
find the value of y
The range is the interval------->
All real numbers greater than or equal to and less than or equal to
...............................................................................................................................................
The dependent quantity would be the $12 per hour, while the independent quantities are 30 hrs/ week to 35 hours/ week.
The $12 per hour would become $360/week to $420/week.
The domain of the problem, with the unit of hrs/week, would be :30,31,32,33,34,35.
The Range of the problem, with the unit of $/week, would be : 360, 372, 384, 396, 408, 420.
...............................................................................................................................................
Two angles are complementary. One angle is 18 degrees more than the other. What are the measures of the two angles?
Answer:
Step-by-step explanation:
x+y = 90°
x = y+18°
(y+18°) + y = 90°
2y = 72°
y = 36°
x = y+18° = 54°
The base of a triangle is 2 more than three times the side lengths (x). If the
perimeter is equal to 97, then find the base .
Answer: 15
Step-by-step explanation:
Which of the following equations is equivalent to y-3 = -2(x-6)?
а. y=-5x-9
b. y = -2x 3
с. y= -5x - 15
d. y = -2x + 9
Answer:
Step-by-step explanation:
Which of the following equations is equivalent to y-3=-2(x-6): y+3x=6 ... Move the +3*x to the right side by subtracting 3*x from (or adding negative 3*x to) ... And in addition, we know that the line graph crosses the y-axis where y equals y=-2x3.
1 Are these similar triangles?
Answer:
NOPE
Step-by-step explanation:
what is 4/5 as a whole number
Answer: 4 over 5 is not a whole number and so it cannot be expressed as a whole number.
Step-by-step explanation:
Choose the ordered pair(s) that are solutions to the system. (There may be one or many correct options).
-3x-y>-4
2x-5y<-2
Answer Choices:
a. (5,5)
b. (2,6)
c. (-4,1)
d. (6,5)
e. (-5,0)
f. none of the above
Answer: C,E
Step-by-step explanation: This is because when we plug in 5 for x and for y in the first inequality we get.
-3(5)-5>-4
Which equals -20>-4 and thats false so thats not it.
Then we got to (2,6) and we plug 2 for x and 6 for y and get:
-3(2)-6>-4
Which is -12>-4 which is false so thats also not it.
Then we got to C and we plug in -4 for x and 1 for y and we get:
-3(-4)-1>-4 and we get 12-1>-4
This is correct so we plug it in to the next inequality and get:
2(-4)-1<-2 and we get -9<-2 which is true
So C is an answer and we go on to d and e
For d we plug in 6 for x and 5 for y and we get:
-3(6)-5>-4 which is -23>-4 which is false so its not d
And then we go to e which is -5 for x and 0 for y and we plug in and we get:
-3(-5)-0>-4 This is 15>-4 which is true so we go to the next inequality and we plug in -5 for x and 0 for y and we get:
2(-5)-5(0)<-2 This is -10<-2 which is true so e is the other answer so the answers are
(C,E)