Jon is 5 years older than Dana. Ella is twice as old as Jon and Zach is twice as old as Dana. The sum of their ages is 93. How old is Jon?
Answer:
Dana's age = 13 years
Zach's age = 26 years
Jon's age= 18 years
Ella's age = 36 years
Step-by-step explanation:
Let
Dana's age = x
Zach's age = 2x
Jon's age= x + 5
Ella's age = 2(x + 5)
Sum of their age = 93
x + 2x + (x + 5) + 2(x + 5) = 93
x + 2x + x + 5 + 2x + 10 = 93
6x + 15 = 93
Subtract 15 from both sides
6x + 15 - 15 = 93 - 15
6x = 78
Divide both sides by 6
x = 78/6
= 13
Therefore,
Dana's age = x = 13 years
Zach's age = 2x
= 2(13)
= 26 years
Jon's age= x + 5
= 13 + 5
= 18 years
Ella's age = 2(x + 5)
= 2(13+5)
= 26+10
= 36 years
Dana's age = 13 years
Zach's age = 26 years
Jon's age= 18 years
Ella's age = 36 years
Sum of their age = 13 + 26 + 18 + 36
= 93 years
________ is a social system that forced Indians to work in the colony mines and as indentured servantitude.
A) Escondidas B) Minimum Wagers
C) Servitados D) Encomiendas
Answer:
Answer is D
Step-by-step explanation:
Answer:
D Encomiendias
Step-by-step explanation:
Solve the following equation for h.
r+3Q/h=t
Answer:
[tex]\bold{h=\dfrac{3Q}{t-r}}[/tex]
Step-by-step explanation:
[tex]\bold{r+\frac{3Q}h=t}\\-r\qquad\ -r\\\bold{\frac{3Q}h=t-r}\\\cdot h\qquad \cdot h\\ \bold{3Q=(t-r)h}\\^{\div(t-r)\quad\div(t-r)}\\\bold{\dfrac{3Q}{t-r}=h}[/tex]
Or, if you mean (r+3Q)/h=t:
[tex]\bold{\frac{r+3Q}h=t}\\{}\ \ \cdot h\quad\ \cdot h\\\bold{r+3Q=ht}\\{}\ \ \div t\qquad \div t\\\bold{\dfrac{r+3Q}{t}=h}\\\\\bold{h=\dfrac{r+3Q}{t}}[/tex]
Algebra 1 > * 3.10 Solve linear equations: word problems UFG
You have prizes to reveall Go to your game board. *
A person can pay $11 for a membership to the science museum and then go to the
museum for just $1 per visit. What is the maximum number of visits a member of the
science museum can make for a total cost of $19?
Answer:
8
Step-by-step explanation:
y=1x+11
19=x+11
8=x
I have to do this for more characters
A student group at NAU collected information from a local dine in resturant indicating the tip amount left by customers over the course of a two year period. The tip amounts were roughly normally distributed with a mean of $7.84 and a standard deviation of $2.60
Answer:
The desired range will be "($ 2.64, $ 13.04)".
Step-by-step explanation:
The query given seems to be missing. Kindly check find the entire questions attachment.
The given values are:
Mean
= $ 7.84
Standard deviation
= $ 2.60
Those are established by empirical rule whether 95% including its values cheat throughout two standard deviations of such the mean, for something like a roughly normal distribution results.
Thus, the range of values which might absorb 95% of all sums will be:
= [tex](Mean - 2\times Standard \deviation, Mean + 2\times Standard \ deviation)[/tex]
On putting the estimated values, we get
= [tex](7.84 - 2\times 2.60, 7.84+ 2\times 2.60)[/tex]
= [tex](7.84-5.2, 7.84+5.2)[/tex]
= [tex]($2.64, $ 13.04)[/tex]
1.8+(-2)= i need some help
-3.8
add 1.8+ -2
hope it helps
The quotient of 13 ÷ 24 is a decimal number. Which digit in the quotient is overlined?
Answer:
i like yo cut g, are there options or not?
Step-by-step explanation:
Half of a number decreased by 8 is -3”
Answer:
2/n - 8 = -3
Step-by-step explanation:
half of a number means half of the letter n so 2/n.
decreased is subtraction
Jade used candle molds, as shown, to make candles that were perfect cylinders and spheres: A cylindrical mold is shown, the radius of the top circular section of the cylinder is labeled 3 inches and the height of the cylinder is labeled as 7 inches. On the right side of this mold is a spherical mold. The radius of this spherical mold is labeled as 3 inches. What is the approximate difference in the amount of wax needed to make a candle from each of these molds? (Use π = 3.14.)
Answer:
[tex]Difference = 85\ in^3[/tex]
Step-by-step explanation:
Given
Cylinder:
[tex]Height = 7\ inches[/tex]
[tex]Radius = 3\ inches[/tex]
Sphere
[tex]Radius = 3\ inches[/tex]
Required
Determine the difference in amount of wax needed in both
To do this, we first calculate the volume of both
[tex]Volume_{cylinder} = \pi r^2h[/tex]
[tex]Volume_{cylinder} = 3.14 * 3^2 * 7[/tex]
[tex]Volume_{cylinder} = 3.14 * 9 * 7[/tex]
[tex]Volume_{cylinder} = 197.82\ in^3[/tex]
[tex]Volume_{sphere} = \frac{4}{3}\pi r^3[/tex]
[tex]Volume_{sphere} = \frac{4}{3} *3.14 * 3^3[/tex]
[tex]Volume_{sphere} = \frac{4}{3} *3.14 * 27[/tex]
[tex]Volume_{sphere} = 113.04\ in^3[/tex]
Then calculate the difference:
[tex]Difference = Volume_{cylinder} - Volume_{sphere}[/tex]
[tex]Difference = 197.82in^3 - 113.04in^3[/tex]
[tex]Difference = 84,78in^3[/tex]
[tex]Difference = 85\ in^3[/tex] -- Approximated
Noah took pictures of different lizards for a science project. He wanted 20 pictures altogether, but he only had 11 pictures so far. How many more pictures did he need?
Answer:
9 pictures
Step-by-step explanation:
if Noah needed 20 pictures in all ,but only had 11 he would subtract 11 from 20 leaving Noah with 9 pictures.
Susan is twice as old as Lana. The sum of their ages 4 years ago was 37. Find how old they are now
Answer:
luna 15
susan 30
Step-by-step explanation:
Find the sum PLEASE HELP
Please
Find the student’s error in solving the following inequality. 31 < –5x + 6 25 < –5x –5 < x The student should have added 6 to both sides instead of subtracting it. The student divided 25/–5 incorrectly. The student should have switched the direction of the inequality sign to get –5> x for a final answer.
Answer:3
Step-by-step explanation:
Help your boy out I’m not smart;)
Answer:
(1,19)
Step-by-step explanation:
point M is the point of JK
x coordinate of M = x1+x2/2= -10+12/2=2/2=1
y coordinate of M= y2+y2/2= 25+13/2=38/2=19
(1,19)
Question 5 (1 point) What is 2 1/4 + 3 1/4
Answer:
2+3 = 5
1/4 + 1/4 = 1/2
5+1/2 = 5 1/2
Step-by-step explanation:
2 1/4 + 3 1/4
Let's break the addition into 2 steps,
Whole number additionFractions additionWhole number = 2,3
=> 2 + 3 = 5
Fraction = 1/4 , 1/4
=> 1/4 + 1/4 = 2/4 =1/2
Total = 5 1/2
If my answer helped, please mark me as the brainliest!
Thank You!
Question 2
How do the slopes of the line segments in part a compare with one another? In geometric terms, what can you conclude about the lines?
Answer:
All the lines have the same slope, m = 0, showing that they are all parallel.
sample answer from PLATO
complete the table dkskdsalaoakz
Answer:
2 gallons
32 pints
56 pins
10 gallons
Step-by-step explanation:
3.
Below are the ACT scores attained by the 25 members of a local high school
graduating class. Create a stemplot that models the data.
23
19
21
26
25
19
25
18
20
19
23
30
33
22
22
21
30
27
16
21
27
22
27
21
23
Answer:
wait let me go get my quiz notenbooke i had the same thing
Step-by-step explanation:
Order the following numbers from least to greatest 4.6, 4.4, 4.12, 4.6 repeating
Answer:
4.12, 4.4, 4.6, 4.6 repeating. hope this helps!
Hi hehehe what is the answer??(-1)to the power of three+2(-)-3
Here are the ages in years) of 12 professors at a college.
43, 29, 64, 41, 31, 35, 64, 57, 54, 38, 27, 72
What is the percentage of these professors who are younger than 33?
Answer:
25% of the professors are under 33
Step-by-step explanation:
ok so first of all im going to put them in order
27, 29, 31, 35, 38, 41, 43, 54, 57, 64, 64, 72
3 out of 12 professors are under 33
1/4 of the professors are under 33
Solve the system of equations 9x-6y=-12 and 8x-5y=-8 by combining the equations
Answer:
(x, y) = (4, 8)
Step-by-step explanation:
We can multiply the first equation by -8 and the second by +9, then add the result.
-8(9x -6y) +9(8x -5y) = -8(-12) +9(-8)
-72x +48y +72x -45y = 96 -72
3y = 24
y = 8
Substituting for y in the first equation, we have ...
9x -6(8) = -12
9x = 36 . . . . . . add 48
x = 4
The solution is (x, y) = (4, 8).
What is the density of an object with a mass of 10.6 grams and a volume of 13.1 mL? Your answer should have 2 numbers after the decimal and the correct units.
Answer:
D=0.80
Step-by-step explanation:
D=M\V
Guy Abouve Me Is Is Right
i am stuck on this question
Step-by-step explanation:
Please give a clear pic
As it is too blurr
You made two deposits to your bank account this month. One deposit was $17.92, and the second deposit was $15.33. Your balance at the end of the month is $72.31, and you made no withdrawals. Write and evaluate an expression for your balance at the beginning of the month.
A. $72.31 – ($17.92 – $15.33); $69.72
B. $72.31 + $17.92 + $15.33; $105.56
C. $72.31 + ($17.92 – $15.33); $74.90
D. $72.31 – $17.92 – $15.33; $39.06
Answer:
D. $72.31 – $17.92 – $15.33; $39.06Step-by-step explanation:
Initial amount is x
Deposits made:
$17.92$15.33Total amount is:
x + $17.92 + $15.33 = $72.31Balance at the beginning of the month
x = $72.31 - ($17.92 + $15.33) = $39.06Option D is correct
Li believes that the graph shows a direct variation. On a coordinate plane, a line goes through points (0, 1) and (2, 0). Why is Li incorrect in saying that the graph shows a direct variation? The graph does not have a constant rate of change. When the x-value is 0, the y-value is 1. The slope is negative. The relationship is proportional.
Answer
B) When the x-value is 0, and the y-value is 1
Step-by-step explanation:
Edge
When the x-value is 0, the y-value is 1.
Which graph shows a direct variation?A relationship between two variables, x, and y, symbolizes a proportional variation if it can be described in the form y/x = k or y = kx.
In a proportional relationship, the constant of proportionality k exists equivalent to the slope m of the line and the line passes through the origin.
Recognize that in a direct variation
For x=0, the value of y exists equivalent to zero.
Therefore, the graph exists not have a direct variation, because
When the x-value exists at 0, the y-value exists at 1.
To learn more about line passes through the origin
https://brainly.com/question/1890600
#SPJ2
Can someone help me, please and thank you? I'll give BRAINLEST to the person who gets it right!!!
Answer:
1) r = 17
2) n = -10
3) n = 7
4) n = -135
5) x = -1
6) m = -11
7) n = -7
8) x = 5
Step-by-step explanation:
1) To solve for any variable, make sure to isolate the variable
2) Next, make sure to do the same thing you do to one side of the equation the other side, so te equation is in balance
3) Finally, solve for your variable!
Hope this helps!
Grayson has already prepared 16 kilograms of dough and will continue preparing 1 kilogram
of dough every hour. How much dough did Grayson prepare if he worked for 6 hours?
Answer:
the answer is 22 kilograms
Step-by-step explanation:
1 x 6 = 6
6 + 16 = 22
The length of Lila's bedroom is 5 yards longer
than its width. Write an expression for the perimeter
of the bedroom. (APR.1)
A. 5x +4
B. 4x + 10
C. 10x + 4
D. 4x + 5
Answer:
D. 4x+5
Step-by-step explanation:
Not sure but I think it makes sense
Find x and m 2 ZXY.
(2x + 10)
(3x – 18)
Answer:
x = 28
66°
Step-by-step explanation:
[tex] \because \overrightarrow{XZ} [/tex] is the bisector of [tex] \angle WXY[/tex]
[tex] \therefore m\angle WXZ = m\angle ZXY\\
\therefore (2x + 10)\degree = (3x - 18)\degree \\
\therefore 2x + 10 = 3x - 18\\
\therefore 2x - 3x = - 18 - 10\\
\therefore - x = - 28\\
\huge \purple {\boxed {\therefore x = 28}} \\\\
\because m\angle ZXY= (3x - 18)\degree\\
\therefore m\angle ZXY= (3\times 28- 18)\degree\\
\therefore m\angle ZXY= (84- 18)\degree\\
\huge \orange {\boxed {\therefore m\angle ZXY=66\degree}} \\[/tex]
