Answer: 9, 18, 21, and 23 respectively
Step-by-step explanation:
To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.
r = first child (youngest)
x = second child
y = third child
z = fourth child (oldest)
We know that r + x + y + z = 71
We also are given info on the comparisons of their ages.
r = r
x = 2r (2 times the youngest)
y = 12 + r (12 more than the youngest)
z = 3r - 4 (4 less than 3 times the youngest)
That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.
Child #1 (youngest)
[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]
Child #2
[tex]x=2*9=18yrs[/tex]
Child #3
[tex]y=12+r=12+9=21yrs[/tex]
Child #4 (oldest)
[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]
Fact Check:
[tex]9+18+21+23=71[/tex]
Can anyone help? Worth 10 points.
Answer:
X= 8 Y=6
Step-by-step explanation:
The Y increases 6 for every X value which increases by 2
Find the coordinates of the midpoint of segment AB with endpoints A(-2,3) and B(5,-2)
Answer:
The coordinates of the midpoints are (3/2, 1/2)
Step-by-step explanation:
To find the midpoint you must se the midpoint formula. Using this formula, when you plug in the points given and you simplify, you find out the midpoint is the coordinates (3/2, 1/2). I hope this helps!
In Europe, the speed limits on the highways are posted in kilometers per hour. In the United States, the speed limits are posted in miles per hour. What is the equivalent rate of 65 miles per hour in kilometers per hour?
solution for 3/4x - 12 = -18?
Answer:
x = -8
Step-by-step explanation:
Add 12 on both sides
You get 3/4x = -6
Multiply 4/3 on both sides
You get x = -24/3
Simplify and you get -8.
Answer:
x=-8
Step-by-step explanation:
The reason why x is -8 is because
The first step is to isolate the x
To isolate the x you got to add 12 to both sides
[tex]\frac{3}{4}[/tex]x-12+12=-18+12
the -12 gets canceled out by the positive twelve so all thats left now is
[tex]\frac{3}{4}[/tex]x=-18+12,-18+12 is -6 so its [tex]\frac{3}{4}[/tex]x=-6
The second step is to divide
now you have to divide by [tex]\frac{3}{4}[/tex] on both sides
[tex]\frac{\frac{3}{4} x}{\frac{3}4} } =\frac{-6}{\frac{3}{4} }[/tex]
which [tex]\frac{3}{4}[/tex] is taken out on the left side because its divided by itself so all thats left is a one,while on the right side -6 divided by three-fourths is -8
a certain map shows two roads. road a is 1 1/4 miles long but is 1 1/2 inches long on the map. what the unit rate for inches per miles on this map? if road b is 10 miles long, how long is road b on the map?
Answer:
30 inches
Step-by-step explanation:
Length of road A = 1¼ miles
Length of road A on map = 1½ inches
Unit rate for inches per miles on the map = 1½ inches ÷ 1¼ miles = ³/2 ÷ ⁵/4 = ³/2 × ⅘ = ⁶/5 inches per mile
Length big Road B on map:
Road B actual length = 10 miles
Thus, using the unit rate of ⁶/5 inches to 1 mile, length of road B on map would be calculated as shown below:
⁶/5 × 10 = 6*5 = 30 inches
Road B is 30 inches long on the map.
A plot of land is valued at $18,000.Land tax is charged at the rate of 0.70 per $100. What is the total amount of tax paid for the land?
Answer:
The total amount of tax paid for the land was $126
Step-by-step explanation:
Proportions
The land tax charged is 0.7 per each $100 of the land value. For easy calculations, we find the ratio or proportion to be applied to the value of the land as:
0.7 / 100 =0.007
This factor can be used to obtain the tax charged for a given value of the land.
The plot of land of the question is valued at $18,000.
The tax charged is, then:
0.007*18,000 = 126
The total amount of tax paid for the land was $126
(-8 - 9i)(-3+6i) standard form
Answer:
78 - 21i
m a t h w a y will help you :)
passes through (-8.-1) and has a zero slope
Answer:
y = -1
Step-by-step explanation:
A zero slope is a horizontal line
it is of the form
y=
The y coordinate is -1
y = -1
Can someone plz help me ASAP!!!???If u get it correct i will give brainliest.
Answer:
Slope = -2/5
y-intercept = 4
Step-by-step explanation:
Answer:
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b . Slope: 2/5 y-intercept: ( 0 , 4 )
EMERGENCY! Please give me the correct answer!
Answer:
1/49 is the answer
Step-by-step explanation:
Can someone give me an idea for a blog for class. I need a topic about things going on in the world
Answer:
I think a great one would be about Corona virus but if you dont
want to do that one another one could be population increase.
Hope this helps!
Please help me right away and you will get 12 points I need it done today so plz help me
Answer:
all u have to do is add up the denominator and numerators together because just because u see something as an add problem it's still more stuff to add 6+8=14 7+5=12 add up 14+12=26+blank=what
Step-by-step explanation:
hopefully this helped
Aline has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
(0,6) & (3,0)
m = (y2-y1)/(x2-x1)
m = (0-6)/(3-0)
m = -6/3
m = -2
Substitute the values in y = mx + c
0 = -2(6) + c
c = 12
Thus, the equation is y = -2x + 12
Answer:
y=2x-6
Step-by-step explanation:
You can plug this into the slope formula, x-intercept of 3 would be (3,0)
and y intercept of -6 would be (0,-6).
Find the slope using the slope formula. The slope is 2
We are given a y-intercept of -6
therefore, the answer is y=2x-6
Simplify: -2(7m -8n -5p)
............................................
Answer:
-14m + 16n + 10p ________
f Chad drove 168 miles in 2 hours, how many hours will it take Chad to drive 840 miles traveling at the same rate?
PLEASE HELP NOW!!
On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number?
Answer:
Point B is located where x is negative and y is positive.
Hope this helps!!
Five less than three times a number is 1. Find the number
Answer:
n = 2
Step-by-step explanation:
Step 1: Write equation
"Five less" = subtract 5
"three times a number" = 3 × n, or 3n
"is 1" means = 1
3n - 5 = 1
Step 2: Solve for n
Add 5 to both sides: 3n = 6Divide both sides by 3: n = 2(-3√ -81)(-5+√ -9)+9i
Answer:
144i + 81
Step-by-step explanation:
(-3*9i)(-5 + 3i) + 9i
-27i (-5 + 3i) + 9i
FOIL
135i + 81 + 9i
144i + 81
5 - 2y + 1/3 + y^3 - 10y for y = 4
I solved this equation but I'm not sure if I got the answer correct and if I messed up somewhere when I was solving it then I got my answer wrong. So if someone could please help me that would be very much appreciated!!!!!
Answer:
4
Step-by-step explanation:
i think i am correct but if im not sorry
Divide.
[tex] \frac{ - 15}{ - 5} [/tex]
I am very confused.
Answer:
3
Step-by-step explanation:
when dividing a negative and a negative it will always be positive remember
and so it is 15/5=3
Answer:
3Step-by-step explanation:
[tex]\frac{-15}{-5}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\\\=\frac{15}{5}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\\\=3[/tex]
3/4 divided by 1/2 what do you guys think?
Answer:
It is 1 1/2
Step-by-step explanation:
When you divide a fraction, it multiplies
So instead of dividing by 1/2, multiply by 2
Answer:
2 / 3
Step-by-step explanation:
( 3 / 4 ) / ( 1 / 2 )
= ( 3 x 2 ) / ( 4 / 1 )
= 6 / 4
= 2 / 3
Please help with this problem ,
what is 5 x 6
Answer:
the answer is 30
Answer:
30
Step-by-step explanation:
6+6=12
12+6=18
18+6=24
24+6=30
I need help in this test please
Translation
Reflection
Dilation
Rotations
Answer:
I believe the answer is rotations.
Multiply. Enter the product in simplest form.
1/8×2/5
Multiply. Enter the product in simplest form.
2/9×7/8
Multiply. Enter the product in simplest form.
5/8×4/5
Multiply. Enter the product in simplest form.
4/3×2/7
Multiply. Enter the product in simplest form.
7/25×20/21 The product is
Multiply. Enter the product in simplest form.
5/6×1/5 The product is
Multiply. Enter the product in simplest form.
5/8×32
Multiply. Enter the product in simplest form.
5/8×24
Multiply. Enter the product as an improper fraction in simplest form.
1/5×6
Multiply. Enter the product as an improper fraction and mixed number in simplest form.
1/8×10
Answer:
1. {1/20} 2. {7/36} 3. {1/2} 4. {8/21} 5. {4/15}
6.{1/6} 7.{ 20} 8. {15} 9. {1.2} 10. {1.25}
Step-by-step explanation:
Which relation represents a function?
StartSet (0, 0), (2, 3), (2, 5), (6, 6) EndSet
StartSet (3, 5), (8, 4), (10, 11), (10, 6) EndSet
StartSet (negative 2, 2), (0, 2), (7, 2), (11, 2) EndSet
StartSet (13, 2), (13, 3), (13, 4), (13, 5) EndSet
A
B
C
D
Here we don't have any repeated x values.
In choice A, x = 2 repeats. In other words, x = 2 leads to multiple y outputs. So this is not a function. Choices B and D are similar stories. A function is only possible if every x leads to exactly one y value only. The graph must pass the vertical line test.
Side note: the y values can repeat, but the function won't be one-to-one.
X + (-9) = 32
What is the answer
Answer:
the answer to x+(-9)=32 is x=41
True or False: In a ratio table, the ratios are equivalent.
Answer: True
Step-by-step explanation:
Write an absolute value equation with a vertex of (7,0) that passes through the point (2,-3)
Answer:
Not sure sorry!
Wish that I could help!
Step-by-step explanation:
Answer:
Wait do we actually have to answer it? XD
Step-by-step explanation:
you notice a hot air balloon is sending the elevation H in feet of the balloon is modeled by the function h x equals 6X + 90 where X is the time in second since you first noticed the hot air balloon
Answer: you should ask your teacher for help...
Step-by-step explanation:
Answer:
1. 0
2. 0
3. 6
4. 6
5. 90
6. 90
Step-by-step explanation:
x is greater than or equal to 0, and h is greater than or equal to 0, because since it is ascending, it is constantly getting more time, and getting higher up. The slope is 6, so the change of the feet for the hot air balloon is 6 feet per second, and the h- intercept is 90, so the first time you noticed it, is was at 90 feet, so put your points at (0,90) and at (30, 180)
What is the distance between (-5, 4) and (-6, 2)? Round your answer
to the nearest ten
Step-by-step explanation:
apply distance formula