From the amounts that are given, the ratio of the earnings will be 3:2:1.
How to calculate ratioFrom the information, the eldest earns R270, the middle child earns R180 and the youngest earns R90.
Therefore, the common factor to the numbers will be 90. Therefore, the ratio will be:
270/90 = 3
180/90 = 2
90/90 = 1
The ratio is 3:2:1.
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(b) In a lab, a substance was heated by 6 °C each hour for 24 hours. What was the total change
in temperature?
l
Answer:
144
Step-by-step explanation:
(-3,5) and (3,-9)
slope: -4
what is the point slope form ?
what is the slope intercept form ?
Answer:
= -3+5+3-9
= -12+8
= -4
Step-by-step explanation:
All the numbers with their sign are written in first step.
Then, the numbers having same sign are added in second step.
After that their calculation is done and the answer is -4.
Am I right...?
if a fish swims 7/8 of a depth of a 32 ft deep lake how many feet down did the fish swim
Answer:
28 feet
Step-by-step explanation:
[tex]\frac{7}{8} * 32 = \frac{7}{1} * 4[/tex] [tex]7 * 4 = 28[/tex] [tex]28 = 28[/tex]Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
28 feet
Step-by-step explanation:
We need to find 7/8 of 32...
7/8*32=224/8=28
You can also start by cancelling the 8 and the 32 (32/8=4) like so...
7/8*32=7*4=28
The fish swam 28 feet down
SOLVE WITH AN EXPLANATION PLS
Answer:
Option COption BStep-by-step explanation:
Let's simplify this further to get our answer.
-5/6(12 - 6x + 18y)=> -60/6 + 30x/6 - 90y/6=> -10 + 5x - 15yLooking at the options, we can say that Option C and B are correct.
[tex]\\ \sf\longmapsto \dfrac{-5}{6}(12-6x+18y)[/tex]
[tex]\\ \sf\longmapsto \dfrac{-5}{6}(12)-\dfrac{(-5)}{6}(6x)+\dfrac{-5}{6}(18y)[/tex]
[tex]\\ \sf\longmapsto -5(2)-(-5x)+(-5)(3y)[/tex]
[tex]\\ \sf\longmapsto -10+5x-15y[/tex]
If you were to sketch a circle graph for the data shown in the table below, about what fraction of the circle would represent dogs?
Answer:
A
Step-by-step explanation:
To find the fraction of how many would choose dogs, we would have to add all of it together to find the sample size, then divide the number of people who would choose dogs to find the percentage of people who would represent dogs.
Using that percentage, we can then find the fraction close to it.
Let's find the sample size, 43+35+62=140
People who choose dogs: 35
Let's divide to find the fraction: [tex]\frac{35}{140} =\frac{1}{4}[/tex]
(we can simplify this fraction by seeing that four '35's fit into 140.
2. y = 55.(1 – 0.02)'
A. Does this function represent exponential
growth or exponential decay?
the tale-tell part of an exponential expression will be the "rate" or namely the part inside the parentheses, if the rate is less than 1, is Decay, if it's more than 1 is Growth.
(1 - 0.02) => 0.98, and 0.98 is less than 1, thus is Decay.
The given exponential function represent exponential decay.
The given function is [tex]y=55(1-0.02)^t[/tex].
The quantity decreases slowly after which the rate of change and the rate of growth decreases over a period of time rapidly. This decrease in growth is calculated by using the exponential decay formula.
[tex]Amount=Initial\ Value(1-\frac{r}{100} )^t[/tex]
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y=0.
Horizontal Asymptote: y=0
Graph the equation in order to determine the intervals over which it is increasing or decreasing.
Always decreasing
Therefore, the given exponential function represent exponential decay.
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Chris is looking at a map with the scale 1 inch: 5 miles. The length of Partridge Creek Road on the map is 4 inches. How long is the actual road?
The scale is 1 inch = 5 miles.
Multiply total inches by 5 miles:
4 x 5 = 20
Answer: 20 miles
Solve for x.
A. 6/3
B. 5
C. 12
D. 12.5
Answer:
x=12
Step-by-step explanation:
Using Proportion:
[tex]\tt \cfrac{x}{16} =\cfrac{9}{x}[/tex]
[tex]\tt x^2=9(16)[/tex]
[tex]\tt x=12[/tex]
2/3 x 18 is my question what is the sum
Answer:
12
Step-by-step explanation:
[tex]\frac{2}{3} * 18 = \frac{36}{3}[/tex] [tex]\frac{36}{3} = 12[/tex]Therefore, the answer is 12.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
12
Step-by-step explanation:
give person above brainliest <3
_____
2/3 x 18 = 12
Tickets to a play cost $8 cach. Write an expression that gives the ticket cost in dollars for a group of g girls and b boys.
Answer:
8b + 8g = T
Step-by-step explanation:
So, $8 per boy and $8 per girl = Total cost
8*boy + 8*girl = total
equation of a line that is perpendicular y=-5/6x-2 with the slope being (10,15)?
Art is recording the number of laps he walks around the track each day. On Day 1, he walks 8 laps. On Day 2, his number of laps
increases by 25%. On Day 3, he walks 1 less lap than he did on Day 2
What was the percent decrease from Day 2 to Day 3?
Step-by-step explanation:
I just answered this ...
to compare day 1 with day 2 :
100% = 8
1% = 100%/100
25% = 25×1% = 100% × 25/100 = 8 × 1/4 = 2
so, on day 2 he walks 8+2 = 10 laps.
on day 3 he walks then 10-1 = 9 laps.
so, now, to calculate the % decrease compared to day 2
100% = 10
1% = 100%/100 = 0.1
how many % is represented by this 1 lap he was walking less ?
1 / 1% = 1 / 0.1 = 10%
so he had a 10% decrease from day 2 to day 3.
!QUESTION ON PIC THX
Answer:
alright we know a variable next to a number like this 2x means what’re your
variable is, you multiply it. In our case this is very simple because it told us what x is
x= The left column
So the answers would be like
y=3+2(3)
y=3+2(4)
y=3+2(5)
y=3+2(7)
then you just multiply to find out what y equals
y=3+2(3)= y= 9
y=3+2(4)= y=11
y=3+2(5)= y=13
y=3+2(7)= y=17
Hope this helps :3
A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 120 people who snore participating in the experiment. Using a table of random digits, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison.
How many unique random numbers need to be selected from the table of random digits?
3
40
80
120
Answer:
40
Step-by-step explanation:
Divide 120 by 3
Meaning you are taking the total nuber by the nuber which is going to be divided
The total number of unique random numbers needed is 120 numbers.
What is Statistic?A statistic is a piece of data derived from a subset of a population. It's the inverse of a parameter — census data, which polls everyone.
To randomly assign 120 people into three equally sized treatment groups, the researcher needs to select 120 unique random numbers from the table of random digits.
Each number will correspond to one of the 120 participants and determine which treatment group they will be assigned to.
Since there are three equally sized groups, each group should have 40 participants. Therefore, the researcher needs to select 40 unique random numbers for each group.
So, the total number of unique random numbers needed is:
3 groups x 40 numbers per group = 120 numbers
Therefore, the correct answer would be option (D) 120.
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Grapes cost $2.39 per pound and bananas cost $0.59 per pound. You have $15 to spend on g pounds of grapes and b pounds of bananas. Make an input-output table, graph the table, write the equation: y=mx+b, and give 5 possible combinations.
Answer:
2.39g + 0.59b = 15
Step-by-step explanation:
Algebraic Expressions
Let:
g = pounds of grapes
b = pounds of bananas
Since grapes cost $2.39 per pound, g pounds of grapes cost 2.39g dollars.
Since bananas cost $0.59 per pound, b pounds of bananas cost 0.59b dollars.
The total cost of fruits is:
C = 2.39g + 0.59b
And this cost is equal to $15:
2.39g + 0.59b = 15
This is the equation that relates the costs of the fruits. If another condition was given, then we could find how many pounds of each fruit is to be purchased.
What is the y intercept
Step-by-step explanation:
The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . ) The y -intercept is often referred to with just the y -value.
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is X. Another side is 6 more than three times the length of the bottom of the triangle. The last side is 4 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
Answer: 10 + 5x
Step-by-step explanation: the base is x. One side is 6 + 3x. The last side is 4 + x. Now add them together 6 + 3x + 4 + x + x. Then simplify to 10 + 5x.
On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1). The second triangle has points A prime (2, negative 2), B prime (2, negative 4), C prime (6, negative 4). Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options. The rule for the translation can be written as T–5, 3(x, y). The rule for the translation can be written as T3, –5(x, y). The rule for the translation can be written as (x, y) → (x + 3, y – 3). The rule for the translation can be written as (x, y) → (x – 3, y – 3). Triangle ABC has been translated 3 units to the right and 5 units down.
Answer:
B and EStep-by-step explanation:
Given
ΔABC ⇒ A(- 1, 3), B(- 1, 1), C(3, 1)ΔA'B'C' ⇒ A'(2, - 2), B'(2, - 4), C'(6, - 4)Comparing the coordinates of the corresponding vertices, we see the difference:
x → x + 3, y → y - 5It means the ΔABC has been translated 3 units right and 5 units down
Correct answer choices are B and E
Answer:
b,e
Step-by-step explanation:
just did it
Math Help Please if you can
The lines are all originated from
The midpoint of the sides.
This means the inside lines are crossed in thirds.
sp = 1/3 of sz, so pz = sp x 2
pz = 3.5 x 2 = 7
answer: PZ = 7
Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 2%. If the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (Round your answer to one decimal place.
The amount of radioactive material remaining after 24 hours is 92.15 kg.
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the amount of the substance after t hours.
From the equation, a = 100 mg
Also, after 6 hours:
[tex]100-100*2\%=100b^6\\\\98=100b^6\\\\b=0.9966[/tex]
After 24 hours:
y = 100(0.9966)²⁴ = 92.15 kg
The amount of radioactive material remaining after 24 hours is 92.15 kg.
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Refer to the table below if needed.
Second Quadrant
Third Quadrant
Fourth Quadrant
sin(1800-e) = sine
sin(1800 +) = -sino
sin(3600-0) = - sino
cos(180°-2) = - COS
cos(1800 +) = - COS
cos(360°-) = cos
tan(180°-2) = - tane
tan(180° +2) = tano
tan(360°-O) = - tane
cot(1800-0) = -coto
cot(180° +0) = cote
cot(3600-0) = - coto
sec(180° +2) = - Seco
sec(360° -2) = seco
sec(180°-o) = - Seco
csc(180° -2) = CSCO
CSC(180° +) = - CSCO
CSC(3600-0) = - CSCO
The quadrants in which tane and cote are positive.
IV
A quadrant is the area that is divided into the x and y axes
The quadrants in which tan [tex]\theta[/tex] and cot [tex]\theta[/tex] are positive are I and III
How to determine the quadrantsThe tangent of an angle is calculated as:
[tex]\tan(\theta) = \frac{sin(\theta)}{\cos(\theta)}[/tex]
While the cotangent of the angle is calculated as:
[tex]\cot(\theta) = \frac{cos(\theta)}{\sin(\theta)}[/tex]
The above equations mean that:
For the tangent and cotangent of an angle to be positive, then the sine and the cosine of the angle must have the same sign.
In the first quadrant, the sine and the cosine angles are positive.In the third quadrant, the sine and the cosine angles are negative.Hence, the quadrants in which tan [tex]\theta[/tex] and cot [tex]\theta[/tex] are positive are I and III
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She concluded that each serving weighs One-sixth of a kilogram. What is Neuma’s error?
Answer:
the answers d dhdiodg sjsi
an object that weighs 1 pound on earth weighs 1.19 pounds on neptune suppose a dog weighs 9 pounds on earth how much would the same dog weigh on neptune?
As Venus revolves around the sun, it travels at a rate of approximately 22 miles per second. Convert this rate to kilometers per second. At this
rate, how many kilometers will Venus travel in 10 seconds? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not
round
your answers.
Answer:
13.75 m/sec
Step-by-step explanation:
Since the 'per second' part stays the same, simply multiply 22 kilometers by the reciprocal of 1.6:
[tex]22(\frac{1}{1.6})[/tex]
then simplify the fraction:
[tex]= 22(\frac{10}{16})[/tex]
[tex]= 22(\frac{5}{8})[/tex]
and solve to get
[tex]= 13 \frac{3}{4}[/tex] miles per second as the answer.
or optionally:
13.75 m/sec
Please I need this answer fast
Answer:
c x approaches -infinity and y approaches -infinity and vice versa
Step-by-step explanation:
graphed on calculator
The figure shows a triangle with 2 congruent sides. The angle between the congruent sides measures x degrees and a different angle measures 70 degrees. The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle.
Answer:
40°Step-by-step explanation:
Since the triangle is isosceles and the angle between the congruent sides is x, the other two angles measure the same value.
Sum of the interior angles is 180°:
x + 2*70° = 180°x + 140° = 180°x = 40°Put the following equation of a line into slope-intercept form, simplifying all fractions. 15x - 3y = 15
2,369÷ 6 = t t is about
Answer:
[tex]394\frac{5}{6}[/tex] or 395 rounded.
Step-by-step explanation:
Divide 2,369 by 6 to find t.
Divide 2,369 by 6:
[tex]\frac{2369}{6} =394\frac{5}{6} \\[/tex]
T = [tex]394\frac{5}{6}[/tex]
T as a rounded answer Is 395.
(Rounded to the Ones place)
The lines shown below are parallel. If the green line has a slope of -, what is
יד
the slope of the red line?
10
O A.
5
ОА?
OB.
O B.
7
3
5
10
16
a
C.
Gruw
-10
O D.
OD
The slope of the red line is -3/7.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have two lines one is red and other is green.
As, the slope of green line is -3/7 and the red line is parallel to green line.
We know that the parallel lines have same slope.
Then, the slope of red line is -3/7.
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If there are 24 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
24:60
60:24
Step-by-step explanation:
Answer:
24:60 = 24/3:60/3 = 8/20 = 8/4:20/4 = 2:5
