Answer:
9 litres
Step-by-step explanation:
200 = 15
divide both sides by 200
1 = 0.075
multiply both sides by 120
120 = 9
If an amount increases by 5. 1% each year, what is the growth factor?
please show steps
the growth factor is simply the same amount, but in decimal format, so what is 5.1% of anything?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5.1\% of anything}}{\left( \cfrac{5.1}{100} \right)anything}\implies 0.051(anything)[/tex]
so the growth factor is simply the decimal format of 0.051.
What is the m∡U in the figure shown?
Answer:
m<U=70
Step-by-step explanation:
we know that the measure of the out side angle is equal to the measure of the 2 inside angles, so 120-50=70
Answer:
∠ U = 70°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ RVU is an exterior angle of the triangle , then
∠ U + 50° = 120° ( subtract 50° from both sides )
∠ U = 70°
there is alot more but i really need help
What is the gradient of 2y=4x+6
Answer:
The answer is 2.Divide each side by 2
Simplify : y = 2x + 3
Replace x = 1 -> y = 5
We will draw a line that goes through the point 1 on the x axis, and point 5 on the y axis (cant draw right now, sorry xd)
(Now, you can find the gradient by simply forming a right triangle with the hypotenuse being the line itself, but i will use the slope to save time)
We will select 2 points : (1;0) and (0;5)
Replace it into m = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{5-0}{0-1} = -5[/tex]
Simone is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Simone started studying the population, and the number of tigers, N(t) year right parenthesis, is modeled by the following function: N year(t)=612⋅(2/3)^t Complete the following sentence about the monthly rate of change in the tiger population.
Answer:
Every month, the number of tigers decays by a factor of 0.97
Step-by-step explanation:
khan academy!
Every month, the number of tigers decays by a factor of 0.97.
We have given that,
Simone is an ecologist who studies the change in the tiger population of Siberia over time.
What is the exponential equation?An exponential function is a type of function in math that involves exponents. A basic exponential function is of the form f(x) = b^x, where b > 0 and b ≠ 1.
The relationship between the elapsed time t, in years, since Simone started studying the population, and the number of tigers, N(t) year right parenthesis, is modeled by the following function: N year(t)=612⋅(2/3)^t
We have to determine to Complete the following sentence about the monthly rate of change in the tiger population.
To learn more about the exponential equation visit:
https://brainly.com/question/12940982
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Can someone please explain this to me??
In a survey of 200 people who visited China, 85% visited the Great Wall. Of those who visited the Great Wall, 30% also visited the Chengdu Panda Center. Of those who did not visit the Great Wall, 80% visited the Panda Center.Enter the correct answers in the boxes to complete the two-way frequency table.
Based on the percentages given on those who visited the Great Wall, the relative frequencies will show the following?
People who visited Great Wall - 170 people.People who visited the Chengdu Panda Center - 51 people.People who visited Panda Center - 24 people.How many people visited the Great Wall?The number of people who went to Great Wall was:
= 200 x 85%
= 170 people
How many people visited the Chengdu Panda Center?= Number of people who went to Great Wall x 30%
= 170 x 30%
= 51 people
How many people visited Panda Center?= (1 - 85%) x Number of people surveyed x 80%
= 0.15 x 200 x 80%
= 24 people
Find out more on relative frequencies at https://brainly.com/question/3857836.
Use the properties of equality to find the value of x in this equation.
4(6x – 7) = 44
Answer:
x=3
Step-by-step explanation:
4(6x-7) = 44
6x - 7 = 11
6x = 18
x= 3
Multiply using the distributive property
Answer:
see image
Step-by-step explanation:
Answers :
the Pythagorean theorem
angle-angle similarity theorem
triangle sum theorem
interior angle theorem
Answer:
angle-angle similarity theorem
Nyana ate 1/4 of an apple. Nelmarie ate 1/4 of the same apple. How much of the apple did Nyana and Nelmaire eat in all?
Answer:
Nyana and Nelmaire ate 2/4, or 1/2 of the apple in all.
Step-by-step explanation:
1/4 + 1/4 equals 2/4
2/4 is equivalent to 1/2
Charlotte has a large container of only red beads.
Harry has a large container of only blue beads.
Charlotte and Harry swap 40 beads.
This means that Charlotte gets 40 of Harry's blue beads in her container and Harry gets 40 of Charlotte's red beads in his container.
Charlotte now randomly picks 90 beads from her container and notices that 9 are blue.
Harry now randomly picks 80 beads from his container and notices that 70 are blue.
If all the beads were placed in one container, work out an estimate for the ratio of red to blue beads.
Simplify your answer fully.
Using it's concept, it is fond that the estimate for the ratio of red to blue beads is of 91:79.
What is the ratio between two amounts?The ratio between two amounts a and b is given by a divided by b, that is:
[tex]\frac{a}{b} = a:b[/tex]
In this problem, considering Charlotte's and Harry's beads, there are 81 + 10 = 91 red beads and 9 + 70 = 79 blue beads, hence the ratio is given by:
91:79.
More can be learned about ratios at https://brainly.com/question/19905617
I don't understand this
the box is in the shape of a cuboid.
height: 60cm
length: 100cm
width: 40cm
Joh wants to fill the box with grit.
A bag of grit costs £2.50
there are 8000cm^3 of grit in a bag.
Joh has £70 to spend on the grit.
Does John have enough money to buy all the grit he needs to fill the box completely?
We calculate the volume of the cuboid :
60 x 100 x 40 = 240000 cm^3
If every bag has 8000 cm^3 of grit, he will need 240000 : 8000 = 30 bags
Every bag cost £2.50, so he will need £2.50 x 30 = £75
Since he only has £70, he doesn't have enough money to buy the grit.
Question 2 (1 point)
(05.05 MC)
A system of equations is shown below:
x+y=3
2x - y = 6
The x-coordinate of the solution to this system of equations is
(3,0)
Step-by-step explanation:
Different - add
2x - y = 6
+
x + y. = 3
3x = 9
÷3
x = 3
Substitute x = 3 into one of the equation:
x + y = 3
3 + y = 3
-3
y = 0
Solution is (3,0)
Hope this helps!
ABC is a right angled triangle with shorter sides 6cm and 8cm K,L,M are the midpoints of the triangle ABC what is the perimeter of the triangle K,L,M
Answer: 12
Step-by-step explanation:
can someone please help me with Arithmetic Sequences
Answer:
287
Step-by-step explanation:
Sum of A Finite Arithmetic Sequnece is
[tex] \frac{a _{1} + a _{n} }{2} n[/tex]
Where a1 is first term
an is final term
N is the number of terms.
We know a1 is 1
An is 40 but we don't know n.
To find n, we use the definition of a Arithmetic Sequence
[tex]a _{n} = a + (n - 1)d[/tex]
where d is the common difference. Let use the final term, 40 as a example.
Here the common difference is 3 so we have
[tex]40= 1 + (n - 1)3[/tex]
[tex]39 = 3(n - 1)[/tex]
[tex]13 = n - 1[/tex]
[tex]14 = n[/tex]
So we have 14 terms in this finite series.
Now we compute
[tex] \frac{1 + 40 }{2}(14) = \frac{41}{2} (14) = 41 \times 7 = 287[/tex]
So the answer is 287
60 POINTS!!
Match the steps to solve the following equation using distributive property. 4 (2x - 6) = 24
Answer:
1) 8x - 24 = 24
2) 8x - 24 + 24 = 24 + 24
3) 8x = 48
4) x = 6
Step-by-step explanation:
Bolded are the answer choices:
4(2x - 6) = 24
First, distribute 4 to all terms within the parenthesis:
4(2x - 6) = 24
(4 * 2x) - (4 * 6)
(8x) - (24) = 24
8x - 24 = 24.
Next, add 24 to both sides of the equations:
8x - 24 (+24) = 24 (+24)
8x = 24 + 24
8x = 48
8x - 24 + 24 = 24 + 24
Then, divide 8 from both sides of the equation:
(8x)/8 = (48)/8
x = 48/8 = 6
8x = 48
x = 6
~
There are 90 students in Jeanette's grade. 63 of the students are enrolled in health. What percentage of the students are enrolled in health?
Answer=70
Step-by-step explanationTotal number of jeanette's grade =90
Number of students enrolled in health =63
Therefore. 63/90×100
=0.7×100
=70%
Select the expressions that are equivalent to 8(w+2).
Let f be defined as shown. Which statement is
true?
Answer:
exist:12703
Step-by-step explanation:
does not exist :8913
What is the reciprocal of an undefined slope?
Answer:
The reciprocal of an undefined slope is 0.
i need help, with an step by step explanation please if possible!!
M(x,y):-
[tex]\\ \rm\Rrightarrow \left(\dfrac{2+4}{2},\dfrac{5+9}{2}\right)[/tex]
[tex]\\ \rm\Rrightarrow \left(\dfrac{6}{2},\dfrac{14}{2}\right)[/tex]
[tex]\\ \rm\Rrightarrow (3,7)[/tex]
Equation of L
y=2x+1Slope=m=2Slope of the perpendicular line=-1/2
Equation of the perpendicular line
[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]
[tex]\\ \rm\Rrightarrow y-7=-1/2(x-3)[/tex]
[tex]\\ \rm\Rrightarrow 7-y=1/2(x-3)[/tex]
[tex]\\ \rm\Rrightarrow 14-2y=x-3[/tex]
[tex]\\ \rm\Rrightarrow x+2y-17=0[/tex]
North High School just put on
their Spring musica. The theater
department sold tickets for $5 for
adults and $2 for students. If they
sold 574 fickets for $2,120, how
many of each ticket was sold?
5x + 2y = 2120
x + y = 574
2y = 2120 - 5x
2y = 1148 - 2x
1148 - 2x = 2120 - 5x
-972 = -3x
x = 324
574 - 324 = y
y = 250
324 adult tickets sold, 250 student tickets sold
write the equation of the line that passes through the point of (2,-1) and has a slope of -3
Answer:
y=-3+5
Step-by-step explanation:
Setting y=Ax+B we find that the slope A=-3 and -1=-3(2)+B which means that B=5. Thus, the equation of the line is y=-3x+5.
a car drives 5 1/2 miles in 1/12 hour. what is the speed of the ca in miles per hour.
Answer:
average speed 3.67mph
Step-by-step explanation:
SORRY BUT I HAVE ANOTHER PROBLEM!!!!! WILL GIVE BRAINLIEST & 50 POINTS
For all [tex]x \neq -3, \frac{x^2-6x +9}{6x-18} =[/tex]
F. [tex]\frac{x+3}{x-3}[/tex]
G. [tex]\frac{x-3}{6}[/tex]
H. [tex]\frac{1}{x-3}[/tex]
J. [tex]x-3[/tex]
K. [tex]\frac{x}{3}[/tex]
Answer:
The correct option is G.Hope this help!!
Just factor out
[tex]\\ \rm\hookrightarrow \dfrac{x^2-6x+9}{6x-18}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{x^2-3x-3x+9}{6(x-3)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{x(x-3)-3(x-3)}{6(x-3)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{(x-3)(x-3)}{6(x-3)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{x-3}{6}[/tex]
Jenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending?
18/6 = 108
18 + 18 + 18 + 18 + 18 + 18 = 108
18 * 6 = 108
6 * 18 = 108
Answer:
18/6=108
Step-by-step explanation:
cause it adds up to 3 and not to 108
[tex]\frac{1}{3} + \frac{1}{3}[/tex]
A computer system increased from $2500 to $2650. What is the Percent increase?
Answer:
2650 - 2500 = $150 or 2500 ÷ 2650 × 100% = 94.33
Answer:
explanation :profit=S.P-C.P×100%
C.P
$2650-2500×100
$2500
150
2500 cross of the two zeros
15
250 let's divide
=0.6×100
60%
I hope it's correct..
pliz follow
Gina wilson homework I need help fast it’s due tomorrow
ok so for whatw e do is mulitpy the numbers