Answer:
11
Step-by-step explanation:
The total number of marbles John gets is 22 and this can be determined by forming the linear equation with help of the given data.
Given :
38 marbles are shared between John, David, and Paul so that John gets twice as many as David. Paul gets 5 only.The following steps can be used in order to determine the total number of marbles john gets:
Step 1 - Let the total number of marbles John have to be 'x', let the total number of marbles David have to be 'y', and let the total number of marbles Paul have to be 'z'.
Step 2 - So, the linear equation that represents the total number of marbles is:
x + y + z = 38 --- (1)
Step 3 - According to the given data, John gets twice as many as David, that is:
x = 2y --- (2)
Step 4 - According to the given data, Paul gets only 5 marbles, that is:
z = 5 --- (3)
Step 5 - Substitute the value of x and z in equation (1).
2y + y + 5 = 38
Simplify the above equation.
3y + 5 = 38
3y = 33
y = 11
Step 6 - Substitute the value of y in equation (2).
x = 2(11)
x = 22
So, the total number of marbles John gets is 22.
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In 1974 a mother was 6 times as old as her daughter. If the mother turned 50 in the year 2000, in what year was the mother double her daughter’s age?
This is in the topic of linear equations and please provide an explanation. (The working out)
Answer:
1990
Step-by-step explanation:
Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.
Hence, the daughter was 24/6 = 4 years old in 1974.
In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.
We need to find "x" from the equation
2(4 + x) = 24+x.
8 + 2x = 24 + x,
x = 24 - 8 = 16.
1974 + 16 = 1990.
Answer In 1990 the mother doubles her daughter's age
Check In 1990 mother's age is/was 24 + 16 = 40 years.
In 1990 the daughter's age is/was 4 + 16 = 20 years.
Solve for L.
P = 2L + 2W
L = 2/(P - W)
L = 2(W - 2P)
L = (P - 2W)/2
Answer:
L = (P - 2W)/2
Step-by-step explanation:
This is the formula for perimeter
P = 2L + 2W
Sustract 2W on both sides:
P-2W= 2L
Divide both sides by 2:
(P-2W)/2 = L
L= (P-2W)/2
f (x)=−8x− 4 cual es la pendiente y y el coeficiente de posición f (x )= (6x− 12) : 3 cual es la pendiente y y el coeficiente de posición AYUDA PORFA
The translation of the given question is
f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient
Answer:
We need to determine slope and position coefficient which is the intercept.
f (x) = - 8x− 4 we know that f(x) is y
slope intercept form of the line
y = -8x -4
slope = -8
intercept = -4
similarly
f (x) = 6x− 12
y = 6x -12
slope =6
intercept = -12
y= -2(x-3)(x-2) to standard form
The highest elevation in a small country occurs on a mountain 1232 meters above sea level, while the lowest elevation in the same country occurs at -27 meters (below sea level). What is the difference in elevation between the highest and lowest points?
Answer: 1259 meters
Step-by-step explanation:
Highest elevation = 1232 meters
Lowest elevation = -27 meters
The difference in elevation between the highest and lowest points will be:
= 1232 - (-27)
= 1232 + 27
= 1259 meters
Note that (-) × (-) = +
The ticket booth at a school play sells 170 adult tickets and 150 student tickets. Find the ratio of adults to students. Write your answer as a fraction in simplest form.
The ratio of adults to students is
Answer: 17 to 15
Step-by-step explanation:
A triangle has interior angle measures of 5s, 3s - 9°, and 45°, what is the value of s?
Answer:
s = 18
Step-by-step explanation:
EASY QUESTION!!Example 3:
A soccer ball will not move until a player kicks it.
Group of answer choices
Newton's 1st Law
Newton's 2nd Law
Newton's 3rd Law
Give evidence or explain your reasoning for your answer to example #3:
Answer:
this is Newton's first law
Step-by-step explanation:
the soccer ball when kicked keep going forward until friction a person or another object like a wall stops it when the soccer ball is resting non-moving on the ground or stay like that until someone kicks it or another Force acts upon it
PLEASE BE A LIFE SAVERRR AND HELP ME ITS SO IMPORTANT
Answer:
a
Step-by-step explanation:
What is the final amount if 1885 is increased by 5% followed by a further 18% increase
9514 1404 393
Answer:
2335.515
Step-by-step explanation:
The first increase multiplies the original amount by 1 + 5% = 1.05.
The second increase multiplies the already increased amount by 1 + 18% = 1.18.
Then the final amount is ...
1885(1.05)(1.18) = 2335.515
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer:
x= 48 and y= 42
Step-by-step explanation:
x= 90-42
x= 48
y= 90-48
y= 42
prove that 1 + cos 2A / sin 2A=CotA
Answer:
I assume that there are parentheses missing from the question and that it should be
Prove that 1 + sin 2A + cos 2A ---------------------------------------------- = cot A
1+sin2A−cos 2A
Use sin 2 A= 2 sin A cos A and
cos 2 A = 1−2 sin 2 A and cos 2 A = 2 cos A−1
Milligrams (\text{mg})(mg)left parenthesis, start text, m, g, end text, right parenthesis of iron per serving. Then they changed their recipe so they had 1.8\,\text{mg}1.8mg1, point, 8, start text, m, g, end text of iron per serving. What was the percent increase in iron?
Answer:
48.76%
Step-by-step explanation:
Here is the complete question;
A brand of cereal had 1.21milligrams of iron per serving. Then they changed their recipe so they had 1.8mg of iron per serving. What was the percent increase in iron?
Given
Initial amount of iron in cereal per serving = 1.21mg
final amount of iron in cereal per serving =1.8mg
Required
Percentage increase in iron
Increment = 1.8mg - 1.21mg
Increment = 0.59mg
% increase in iron = increment/original amount * 100%
% increase in iron = 0.59/1.21 * 100
% increase in iron = 0.4876 * 100
% increase in iron = 48.76%
Hence the percent increase in iron is 48.76%
Elizabeth and her sister earned money shoveling snow over winter break. Altogether, they shoveled for a total of 30 hours. Elizabeth charged her customers $12 per sidewalk, and her sister charged $11 per sidewalk. If they earned $347.50 total, how many hours did each girl spend shoveling?
Answer:
Step-by-step explanation
$12x17.5=210
$11x12.5=137.5
210+137.5=$347.5
Elizabeth worked for 17.5 Hours
Her sister worked 12.5 hours
State the slope and Y intercept of this problem X =1
Answer:
not for sure sorry
Step-by-step explanation:
sorry
What’s the answer for this?? Help (foolish answers will be reported)
Answer:
the answer is b
Step-by-step explanation:
they should have the same slope so just looking at that you cancel out d. But since it says has a y-intercept of 1 then it would cancel out the other 2. d is perpendicular to it not parallel
Answer:
b. [tex]y=5x+1[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b[/tex]
m is the slopeb is the y-interceptx and y are the corresponding coordinate points (x,y)When two lines are parallel, their slopes are the same. Note the slope of the given equation:
[tex]y=5x+7\\\\m=5[/tex]
The slope is 5, so the slope for the parallel equation will also be 5:
[tex]y=5x+b[/tex]
Now insert the given y-intercept:
[tex]b=1\\\\y=5x+1[/tex]
:Done
Write a quadratic equation with the given transformations from the parent function y = x2
4) Reflect over x-axis, shift to the left 5 units, shift up 7 units
5) Vertical stretch by a factor of 4, shift down 11 units
6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.
Answer:
4
Step-by-step explanation:
By Using the Transformations of the parabola
[tex]y = -(x+5)^2+7\\y=4x^{2} +7\\y = -(x-2)^2+3[/tex]
Vertical Translation move the graph vertically - up or down[tex]y = x^2+ k[/tex]
Horizontal Translation move the graph horizontally - left or right[tex]y = (x - h)^2[/tex]
Reflection in x-axis
flip the graph over the x-axis, (negates the y-values of the coordinates)[tex]y = -(x^2)[/tex]
Reflection in y-axis
flip the graph over the y-axis,(negates the x-values of the coordinates)[tex]y = (-x)^2[/tex]
Stretch or Compress Verticallystretches away from the x-axis or compresses toward the x-axis
[tex]y = a .x^2[/tex]
| a | > 1 is a stretch;
0 < | a | <1 is a compression
Stretch or Compress Horizontallystretches away from the y-axis or compresses toward the y-axis
[tex]y=\frac{1}{a} x^{2}[/tex]
| a | > 1 is a compression by factor of 1/a;
0 < | a | <1 is a stretch by factor of 1/a
Now, we have [tex]y=x^2[/tex]
4). Reflect over x-axis, shift to the left 5 units, shift up 7 units
[tex]y = -(x+5)^2+7[/tex]
5) Vertical stretch by a factor of 4, shift down 11 units
[tex]y=4 x^{2} +7[/tex]
6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.
[tex]y=-(x-2)^{2} +3[/tex]
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in the diagram below, B is the midpoint of AC and D is the midpoint of BC, which of the following statements is true?
(1) AC = 1/2BC (3) BD = 1/2AD
(2) AC=4DC (4) AC = 3BD
Answer:
2
Step-by-step explanation:
I need some help does anyone know this?
A circuit has a voltage of 500 volts and a resistance of 250 ohms. What is current? V = IR
Answer:
Step-by-step explanation: V= Voltage
I= Current
R= Resistance
Ohm's Law Mathematically expressed as: I= V/R or V= IR or R= V/I
V= 500
I= ?
R= 250
I= V/R
I= 500/250
I= 2 amps
Answer:
I know it know!!!!
Step-by-step explanation:
PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON
Answer:
1.C 2.A
Step-by-step explanation:
FIRST
Answer:
1= C
5= A
Step-by-step explanation:
Solve the equation A = bh for b.
b = Ah
b = A/h
b = h/A
b = h – A
Answer:
b=Ah
Step-by-step explanation:
multiply both sides by h
Find the slope of the line that passes through the given two points:
(1,4) and (3,7)
m =
PLEASE HELP I DONT UNDERSTAND THIS
Answer: 3/2
Step-by-step explanation:
To find slope you use the formula: m= y2-y1/x2-x1
So plugging stuff in it’s (7-4)/(3-1)
This comes out to be 3/2
Which means when graphing you go up 3 and right 2
Solve for c and d:
10 – 7i = (c – 4) + zdi
C =
d =
Answer:
c= 14-7i-zdi
d=14/zi - 7/z - c/zi
Step-by-step explanation:
Solve for c by simplifying both sides of the equation, then isolating the variable.
Solve for d by isolating the variable by dividing each side by factors that dont contain the variable.
Find the amount and compound interest of Naira 500000 at 2years at 8%
Answer:
Naira 583200
Step-by-step explanation:
500000 × 1.08² = 583200
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.87 but 220.88 if u have to round up :)
What is the equation of the line that passes through the point (–5,–6) and has a slope of zero?
Answer:
y = -6
Step-by-step explanation:
y = mx + b
-6 = -5(0) + b
b = -6
If the table below represents a propornal relationship, what number will go
in the empty box?
Notes (pages)
8
Time (hours)
16
18
20
9
10
11. Helpp
Since the box represents a proportional relationship, the empty box would be = 22.
What is a proportional relationship between two variables?When proportional relationship exists between two variables, it means that a particular value would be times with one variable to give the next compared variable.
For example, using the figures given above;
8 pages of notes = 16hours
1 page = 16/8 = 2 hours
Therefore, each page should be times by two to give the number of hours.
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Which geometric shape would best describe a flashlight?
cylinder
hemisphere
rectangular prism
sphere
Answer:
cylinder
Step-by-step explanation:
Please answer smartly or you will be reported
Thankyou:)
Answer: The answer is B
Step-by-step explanation:
school and eat breakfast, and a 60% chance that she will be late for school or eat breakfast. What
is the probability that Elaine will eat breakfast