Answer:
200 : 250 : 50
Step-by-step explanation:
Sum the parts of the ratio, 4 + 5 + 1 = 10 parts
Divide the amount by 10 to find the value of one part
500 ÷ 10 = 50 ← value of 1 part of ratio , then
4 parts = 4 × 50 = 200
5 parts = 5 × 50 = 250
500 = 200 : 250 : 50
Answer:
200, 250 and 50.
Step-by-step explanation:
First find the 'multiplier'.
4 + 5 + 1 = 10
500/10 = 50 = multiplier.
So the answer is
4*50 = 200
5 * 50 = 250
and 1 * 50 = 50.
2. What is the number 643,581 rounded off
to the thousands place?
(1) 640,000
(2) 643,000
(3) 643,600
(4) 644,000
(5) 644,600
Answer:
(4) 644,000
Step-by-step explanation:
643,581
The 3 is in the thousands place
We look at the hundreds place
5
It is 5 or greater so we round the thousands place up 1
644000
Help!!
A.) find f^-1 and use it to evaluate: f^-1(12)
B.) write a formula for the function g(x) that results when the parent function: f(x) = x^3 is vertically stretched by a factor of three, shifted to the left by 4 units and shifted down by 5 units
Answer:
Step-by-step explanation:
y = x³
x = ∛y
Switch x and y:
y = ∛x
f⁻¹(x) = ∛x
f⁻¹(12) = ∛12 ≅ 2.29
check:
x = 2.29
f(x) = 2.29³ ≅ 12
Find the equation of the line passing through the point (1, -5)
and perpendicular to y 1x + 2
Answer:
-8 and 3
Step-by-step explanation:
The slope of the line will be - 8, the equation is y=-8x+3
The 3rd and 7th terms of an arithmetic progression are 6and 30 respectively determine the common difference, first term,10th term.
Answer:
d = 6 , a₁ = - 6 and a₁₀ = 48
Step-by-step explanation:
The nth term of an arithmetic progression is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 6 and a₇ = 30 , then
a₁ + 2d = 6 → (1)
a₁ + 6d = 30 → (2)
Subtract (2) from (1) term by term to eliminate a₁
4d = 24 ( divide both sides by 4 )
d = 6
Substitute d = 6 into (1)
a₁ + 2(6) = 6
a₁ + 12 = 6 ( subtract 12 from both sides )
a₁ = - 6
Then
a₁₀ = - 6 + (9 × 6) = - 6 + 54 = 48
----------------------------------------------------
Answer:
d=6
a=-6
Step-by-step explanation:
use the formula for the nth term which is
Tn=a+(n-1)d..you will have to create two equations then solve them as a simultaneous equation
T3=6 and T7=30
T3=a+(3-1)d
6=a+2d........... first equation
T7=a+(7-1)d
30=a+6d.......... second equation
then solve them as a simultaneous equation
a+2d=6
a+6d=30
-4d/-4=-24/-4
d=6
a+2d=6
a+2(6)=6
a=6-12
a=-6
I hope this helps
Please find this answer!! :)
Answer:
Amanda's box is in this case, the bigger one. Then subtract the Amanda's by Mary's. The Larger box is 70cm^3 larger then the smaller box.
Step-by-step explanation:
Amanda's box: 13.5*10*10= 1350cm^3
Mary's box: 20*8*8= 1280cm^3
1350-1280=70
The larger box is 70cm^3 larger then the smaller box.
If you have any questions regarding my answer tell me in the comments, i will come answer them. Have a good day.
If I toss a fair coin five times and the outcomes are TTTTT, then the probability that tails appears on the next toss is
1) 0.5
2) greater than 0.5
3) 1
4) less than 0.5
5) 0
Answer:
1. 0.5
Step-by-step explanation:
The probability of flipping a coin and landing on heads or tails is 100%. So 3)1 would be incorrect. In probability, we learned that just because something was picked more than once, it does not lower the chances of the thing being picked again. So 5)0 would be incorrect. The chances of getting tails are 50% also 0.5 and the chances of getting heads are 50% also 0.5. So 1 is correct.
There is a 0.5 percent chance that the following coin will land on its side.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.
The sample space, which is typically represented using set notation, contains a list of all the potential ordered outcomes as elements. A sample space with all possible outcomes exists for a series of five fair coin tosses. The example of a fair coin toss is 2*2*2H,T.
{HHHHH,HHHHT,HHHTH,HHTHH,HTHHH........TTTTT} The likelihood that the next coin will land on its side is always equal to It doesn't matter if previous results were TTTTT, HHHHH, or TTHT. The probability that the next number will be a tails is therefore still 0.5 in each of these cases as well as all others.
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A line has a slope of 11 and passes through the point (5,7). Which of these is an equation for the line? O A. y-7 = -11(x - 5) B. y + 7 = 11(x + 5) O C. y-5 = -11(x - 7) O D. y - 7 = 11(x - 5) SUBMIT
Answer:
D. y - 7 = 11(x - 5)
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Plug in the given slope and point:
y - y1 = m(x - x1)
y - 7 = 11(x - 5)
So, the correct answer is D. y - 7 = 11(x - 5)
Malika is 1.45 meters tall. At 10 a.m., she measures the length of a tree's shadow to be 32.25 meters. She stands 27.5 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answer:
Step-by-step explanation:
If the length of a tree's shadow is 32.25 meters. The height of the tree to the nearest hundredth of a meter will be : 9.84m
Given:
Malika height=1.45 meters
Length =32.25 meters
Width =27.5 meters
Height of the tree=x
Proportion:
1.45 : 32.25 :: x : 27.5
Now let determine the height of the tree
32.25-27.5/1.45=32.25/x
4.75/1.45=32.25/x
Cross multiply
4.75x=32.25×1.45
4.75x=46.7625
Divide both side
x=46.7625/4.75
x=9.84m
Inconclusion if the length of a tree's shadow is 32.25 meters. The height of the tree to the nearest hundredth of a meter will be : 9.84m
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1. A tank is 3/5 full of water. After 330 litres of water is drawn out, it becomes 2/7 full. Find the capacity of the tank in litres.
Answer:
1050
Step-by-step explanation:
Let x = full capacity
[tex]\frac{3}{5} x=\frac{2}{7} x+330[/tex]
Move the variable to the left side by subtracting both sides by [tex]\frac{2}{7} x[/tex]
[tex]\frac{3}{5} x-\frac{2}{7}x=\frac{2}{7} x+330 -\frac{2}{7}x[/tex]
[tex]\frac{3}{5} x-\frac{2}{7} x=330[/tex]
Combine the like terms (don't forget about common denominator)
[tex]\frac{21}{35} x-\frac{10}{35} x=330[/tex]
[tex]\frac{11}{35} x=330[/tex]
Multiply both sides by [tex]\frac{35}{11}[/tex] to isolate the x
[tex](\frac{35}{11})\frac{11}{35} x=330(\frac{35}{11})[/tex]
[tex]x = 1050[/tex]
what fraction of 1 day is 48 minutes
Answer:
48 ÷ 60 = 4/5
Step-by-step explanation:
4/5 is the answer
Answer:
[tex]\frac{1}{30}[/tex]
Step-by-step explanation:
We require the number of minutes in a day.
i hour = 60 minutes
24 hours = 24 × 60 = 1440 minutes ( 24 hours in 1 day )
Then
fraction = [tex]\frac{48}{1440}[/tex] ( divide numerator/ denominator by 12 )
= [tex]\frac{4}{120}[/tex] ( divide numerator/ denominator by 4 )
= [tex]\frac{1}{30}[/tex]
Select the appropriate descriptions of the correlation coefficient (r).
a. r describes the clustering of the points around a line, relative to the SDs.
b. r says how the average value of y depends on x.
c. r determines the accuracy of the regression predictions, through the formula for r.m.s. error.
d. All of the above are accurate descriptions of the uses of r.
Step-by-step explanation:
I Think Its C
0.3,1/5,1/2,0.706,7/8,57.1%
Place following in ascending order
Answer:
the answer is 0.31/ 5.1/8.57.1% /207067
Step-by-step explanation:
ascending order from the smallest to the largest
Write an inequality, in slope-intercept form, for the graph below. If necessary,
use *<=' for sor">=' for .
(0,4)
(2.0)
Answer:
y<=(-2x+4)
Step-by-step explanation:
The equation of line is y=-2x+4. For the region left of it, y<=(-2x+4)
A)15.8 inches
B) 17.8 inches
C)16.2 inches
D)14.8 inches
Answer:
B
Step-by-step explanation:
Use pythagorean theorem
4^2+5^2=AC^2, AC= 6.4
7^2+9^2=CB^2, CB=11.4
How to solve this question. I need to show my work for this question.
A cookie recipe calls for 3 eggs and makes 4 dozen cookies.
a). How many cookies could you make with a dozen eggs?
b). How many eggs would you need to make 18 dozen cookies?
Step-by-step explanation:
Recall that 1 dozen = 12 so 4 dozen cookies has a total of 48 cookies. We are going to use the following ratios to solve the problem:
[tex]\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right)[/tex] and [tex]\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right)[/tex]
a) [tex]12\:\text{eggs}×\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right) = 192\:\text{cookies}[/tex]
b) 18 dozen cookies = 216 cookies
[tex]216\:\text{cookies}×\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right) = 13.5\:\text{eggs}[/tex]
Find COS Instructions: Find the value of the trigonometric ratio. Make sure to simplify the If needed
Answer:
Sin X = 12 / 37
Step-by-step explanation:
Given a right angled triangle, we are to obtain the Sin of the angle X ;
Using trigonometry, the sine of the angle X , Sin A is defined as the ratio of the angle opposite X to the hypotenus of the right angle triangle.
In the right angle triangle :
Sin X = opposite / hypotenus
Opposite = 12 ; hypotenus = 37
Sin X = 12 / 37
GIVEN THAT GENERAL TERM =7n+4
evaluate sum of 5th termand 6th term
Answer:
general term - 7n+4
5th term - 7(5) + 4 = 39
6th term - 7(6) + 4 = 46
Can someone please help me solve the equation?
Answer:
B opition is right
Step-by-step explanation:
The domina a function of
Which equation represents a slope of −4 and y-intercept of (0,2)?
y = −4x + 2
y = −2x
y = −2x − 4
y = 4x + 2
Answer:
y=-4x+2
Step-by-step explanation:
Hi there!
We want to find out which equation represents a line with a slope of -4 and a y intercept of (0,2)
The most common way to write the equation of the line is in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We have everything we need to plug into the equation, let's just label the values to avoid confusion
m=-4
b=2 (when you substitute the y intercept as b, b is the value of y in the point)
Now substitute into the equation
y=-4x+2
Hope this helps!
Jeanne has a coupon for 1.95 off a jug of name brand laundry detergent that normally costs 14.99 . The store brand laundry detergent costs 11.53 How much will Jeanne save if she buys the store brand detergent instead of using her coupon and buying the name brand
Step-by-step explanation:
14.99 - 11.53= 3.46+1.95 =4.41
What are the odds IN FAVOR of picking a red marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?
Answer:
there is a 20% chance of getting a red marble
Step-by-step explanation:
Answer:
there is a 1/5 percent chance or 20%
Step-by-step explanation:
Hope this helps!
The table above shows the percent of the area of a town
devoted to three uses. If the area devoted to business use
is 7,200 acres less than the area devoted to residential
use, what is the area, in acres, devoted to government
use?
A) 1,400
B) 1,800
C) 5,200
D) 44,000
=========================================================
Explanation:
Let
r = area devoted to residential use
This variable is some positive real number, and it represents the area in acres.
Your teacher says that " the area devoted to business use is 7,200 acres less than the area devoted to residential use"
This means the expression r-7200 represents the area for business use
Note the jump from 25% to 65% is 65/25 = 2.6, meaning that we multiply by 2.6 when going from the business area to the residential area.
So we'll multiply by 2.6 to go from r-7200 to r
We'll have this equation
2.6(r-7200) = r
because it's effectively saying
2.6*(business area) = residential area
--------------------------
Let's isolate r
2.6(r-7200) = r
2.6r-2.6*7200 = r
2.6r - 18720 = r
2.6r - r = 18720
1.6r = 18720
r = 18720/(1.6)
r = 11700
We'll use 11700 acres for the residential portion.
And also r-7200 = 11700-7200 = 4500 acres are set aside for the business district.
--------------------------
The largest region (residential) uses 11700 acres of land.
Note the jump from 10% to 65% involves a multiplier of 6.5 because 65/10 = 6.5
So if g is the amount of government land used, then,
6.5g = r
6.5g = 11700
g = 11700/(6.5)
g = 1800
1800 acres of land are for government use
This is why the answer is choice B.
The area, in acres, devoted to government use is 1800.
Option (B) is correct.
To find the area.
What is percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given that:
Let
r = area devoted to residential use
This variable is some positive real number, and it represents the area in acres.
This means the expression r-7200 represents the area for business use
Note the jump from 25% to 65% is 65/25 = 2.6, meaning that we multiply by 2.6 when going from the business area to the residential area.
To multiply by 2.6 to go from r-7200 to r
The equation is
2.6(r-7200) = r
because it's effectively saying
2.6*(business area) = residential area
--------------------------
Let's isolate r
2.6(r-7200) = r
2.6r-2.6*7200 = r
2.6r - 18720 = r
2.6r - r = 18720
1.6r = 18720
r = 18720/(1.6)
r = 11700
We'll use 11700 acres for the residential portion.
And also r-7200 = 11700-7200 = 4500 acres are set aside for the business district.
The largest region (residential) uses 11700 acres of land.
Note the jump from 10% to 65% involves a multiplier of 6.5 because 65/10 = 6.5
So if g is the amount of government land used, then,
6.5g = r
6.5g = 11700
g = 11700/(6.5)
g = 1800
So, the area, in acres, devoted to government use is 1800.
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Hi friends,
Please assist with my question below.
In a right angle triangle, an angle of 30 degrees has an adjacent side which measures 17 cm. what is the length of its hypotenuse?
Answer : 19.6cm
I hope this helps you! Have a good day!
If Jan can weed the garden in 2 hours and her husband can weed it in 1 hour and 30 minutes, find how long it takes them to weed the garden together.
Answer:
3 hours 30 minutes
Step-by-step explanation:
Jan :2 hours
her husband : 1 hour 30 minutes
2hr + 1 ½ hrs = 3 ½ hrs...that is 3 hours 30 minutes....?
Express -6 as the sum of a negative integer and a whole number
Quan điểm quản lý của trường phái đưc trị
.・。.・゜✭・Srry but which language is this!?
144 is the same as 379 less than c
How can this be wrote in a equation
Answer:
144 = c - 379
Step-by-step explanation:
"144 is the same as 379 less than c"
144 = c - 379
Answer and Step-by-step explanation:
This can be written in an equation like this:
144 = c - 379
The question is saying that 144 is the same answer as the result of 379 less than c (or c minus 379). This is why we equal 144 to the result of c minus 379.
#teamtrees #PAW (Plant And Water)
I NEED HELP PLEASE!!!!
9514 1404 393
Answer:
A. 1/2
Step-by-step explanation:
The points on a unit circle are (cos(θ), sin(θ)), where θ is the angle from the +x axis to to the ray from the origin through that point.
If the point is (√3/2, 1/2), then sin(θ) = 1/2.
The formula for finding the area of a square that has a side length, s, is A= 52. If a square has an area of 40 square
units, what is the length of a side?
20
10/
2 /10
Answer:
2√10
Step-by-step explanation:
Given the following data;
Area of square = 40
Mathematically, the area of a square is calculated by using the formula;
Area, A = s²
Where;
s is the length of sides of a square.
Substituting into the formula, we have;
40 = s²
s = √40
s = √4 * √10
s = 2 * √10
s = 2√10
ASAP PLSSSSSSSS TYYYYYY
Answer:
20% of students prefer to go to the aquarium
50% of teachers prefer to go to the aquarium
Step-by-step explanation:
1.
8 students prefer the aquarium out of 40 students.
Set up an equation:
Variable x = percentage of students
8/40 = x/100
Cross multiply:
8 × 100 = 40 × x
800 = 40x
20 = x
Divide:
20%
Check your work:
40 students × 20%
Convert percentage into decimal:
40 × 0.20
8
8 students prefered the aquarium so this is correct!
2.
5 teachers prefer the aquarium out of 10 teachers.
Set up an equation:
Variable x = percentage of teachers
5/10 = x/100
5 × 100 = 10 × x
500 = 10x
50 = x
50%
Check your work:
10 × 0.50
5
Correct!
