John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have a small amount of money to spend on treats at the school canteen that his parents refuse to buy, but he also wanted to build up some savings. John decided to put a fraction of his earnings into a jar straight away. He spent all the rest on canteen treats.
How much money did John earn over a nine week term?
After 9 weeks, John had $378 in his jar. What percentage of his money did he save?
Answer:
He earns $540
70% of his money went to savings
Step-by-step explanation:
9 weeks x 5 days a week = 45 days
45 days x $12 a day = $540
378 * 100 / 540 = (378*100) / 540 = 37800/540 = %70
3(11-2x)=27
solve the equation
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for x ~
[tex] \sf3(11 - 2x) = 27[/tex][tex]\sf33 - 6x = 27[/tex][tex]\sf - 6x = 27 - 33[/tex][tex] - 6x = - 6[/tex][tex]x = - 6 \div - 6[/tex][tex]x = 1[/tex]Value of x is ~
[tex] \boxed{ \boxed{ \sf \: 1 \: }}[/tex]
[tex]\mathrm{✌ \: Kaul ~✌}[/tex]
Model with Two-Step Inequalities: Quiz! (ONLY 4 QUESTIONS PLS DONT PUT LINK :< )
Q1. A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.
How many seconds, s, will it take for the balloon to drop to below 215 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
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QUESTION 2. For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler _______ minutes.
Choose..."At most 10.1", "More then 10.1", "At least 10.1" or "Fewer than 10.1"
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QUESTION 3. A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer to complete the inequality.
p__
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Q4. Robbie is going shopping. He has no more than $65.00 to spend. He wants to buy a pair of shoes for $21.95 and some shirts that cost $10.50 each.
Which inequality can Robbie use to determine how many shirts, s, he can buy?
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YAY YOU MADE IT! Thanks if you actually answered correctly...you really made my day! :)) Sending virtual hugs your way! And here is 50 points for completing my quiz you smart and mighty warrior! <3 <3 <3 Bye!
Answer:
For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler fewer than 10.1 minutes.
Step-by-step explanation:
Find 56÷512 . Write in simplest form.
Answer:
0.109375
Step-by-step explanation:
Answer:
[tex]^7/_{64}[/tex]
Step-by-step explanation:
[tex]56\div512={^5^6}/_{512}[/tex]
Look for the [tex]GCF[/tex] of [tex]56[/tex] and [tex]512[/tex]
we find that it's [tex]8[/tex]
[tex]56\div8=7\\512\div8=64[/tex]
our fraction in simplest form is [tex]^7/_{64}[/tex]
Anyone know how to answer this
Answer:
21
Step-by-step explanation:
The average rate of change of function f(x) from x = a to x = b is
[tex] \dfrac{f(b) - f(a)}{b - a} [/tex]
Here we have
a = -1
b = 2
f(a) = f(-1) = 1
f(b) = f(2) = 64
[tex] \dfrac{f(b) - f(a)}{b - a} = [/tex]
[tex] = \dfrac{f(2) - f(-1)}{2 - (-1)} = [/tex]
[tex] = \dfrac{64 - 1}{2 + 1} [/tex]
[tex] = \dfrac{63}{3} [/tex]
[tex] = 21 [/tex]
find the domain below
Answer:
Interval Notation: [-2, 10]
Set Notation: {x|-2≤x≤10}
Step-by-step explanation:
PLEASE HELP!!! URGENT!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
For a relation to be a function then every value of x must map to exactly one unique value of y.
Here every x- value corresponds to exactly one y- value
Then the ordered pairs represent a function
hey guys did I get any of these right, if not pls help me.
Answer:Yep! All of them are right! Great job!
Step-by-step explanation:
a point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2)=25 is?
The point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).
What is the equation of the circle with radius r units, centered at (x,y) ?If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:
(x-h)^2 + (y-k)^2 = r^2
The given equation is
(x+10)^(2)+(y+1)^(2)=25
Where,
h = - 10
k = -1
r = 5
If x = -6 and y = 2
then the given equation of circle is stidfy the given points.
Hence, the point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).
Learn more about equation of a circle here:
https://brainly.com/question/10165274
#SPJ2
Can someone help me with this. I tried to total all them up with 180 but none of the answers i got match the ones from the riddle
Answer:
9. x=102
10. x=56
11. x=104
12. x=138
Step-by-step explanation:
9. In this problem, they are alternate exterior angles, meaning they are the same value. x=102
10. x is a corresponding angle, meaning they are the same. x=56
11. There are consecutive interior angles. The sum of these two angles is 180. to find x, subtract 76 from 180. 180-76 = 104 x = 104
12. These two angles are verticle angles, meaning they are equivalent. x = 138
which shows 2^-2 * 2^6 in exponential form
Answer:
16
Step-by-step explanation:
2^-2=0.25
2^6=64
times
=16
Graph: y < 1/3x+1/2 plot this on a graph
it's was helpful to you dear ❤️❤️❤️
Answer:
Plot (0.5, 1.5) on the graph.
Which point is a solution to the inequality? (3, 1/2)
Step-by-step explanation:
Find the length x.
2
4
5
X
Answer:
2.5
Step-by-step explanation:
5/4 = x/2
yeah-ya... right
1 gal = ____ pt
A) 8.085 pt
B) 8.85 pt
C) 88.5 pt
D) 0.8085 pt
eh?
Answer:
1 gal = ____ pt
A) 8.085 ptlelz XD
Foster is centering a photo that is 9 1/2 inches wide on a scrapbook page that is 10 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number. / pls help quick
Answer:
should be 1/4 inches away from each side
Step-by-step explanation:
all I did was take the 10 inches,subtract 9.5 from that to get 1/2 left.
since it needs to be centered, divide that by two for each side.
and 1/2 ÷ 2 = 1/4
so I got 1/4 inches on each side.
The aquarium in Mrs. Mnon's
class holds 10 gallons. How many
quarts does the tank hold? How
many pints? Please
Somebody please help
Answer:
c/ y=20x
Step-by-step explanation:
How do I factor this expression
2xy-x^2y-6+3x
please help me :) there is a picture
Evaluate [tex]\frac{15}{k}[/tex] when k =3
8
-6
4
ल
-8-
What is the domain of function m?
co
-2
-8
6
- 4
x
HELPP
Answer:
( - ∞, ∞ )
Step-by-step explanation:
The domain of the function is all values of x , that is
- ∞ < x < ∞ , or in interval notation
(- ∞, ∞ )
PLEASE HELPPPP! i already asked the question but no one answered.. and my test is due in 20 minutes IM BEGGIN for the map above, state the domain and range, then determine if the relation is a function.
Answer:
Step-by-step explanation:
domain is x = input = {3, 6, 12, 18}
Range is y = output = {5, 7, 9, 10}
for x = 6 y has two values y = 5, 10
so it is not a function
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6
If (x 2y)dy/dx=2x-y what is the value of.
The second differential of the function is 3/7
Given the differential function [tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]
Differentiate both sides with respect to x implicitly
[tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]
[tex]1+2y'=y"(2x-y)+y'(2-y') \\y''=\frac{1+2y'}{(2x-y)+y'(2-y') }[/tex]
Get the first derivative at the point (3, 0)
[tex]y'=\frac{2x-y}{x+2y} \\y'=\frac{2(3)-0}{0+2(3)}\\y'=\frac{6}{6} \\y'=1[/tex]
Substitute into the second derivative to have:
[tex]y''=\frac{1+2y'}{(2x-y)+y'(2-y') }\\y''=\frac{1+2(1)}{(2(3)-0)+(1)(2-(1)) }\\y''=\frac{3}{6+1} \\y''=\frac{3}{7}[/tex]
Hence the second differential of the function is 3/7
learn more on differential equation here; https://brainly.com/question/18760518
Complete question:
If (x 2y)dy/dx=2x-y what is the value of [tex]\frac{d^2y}{dx^2}[/tex] the point (3,0)
Find the slope of the line that passes through the point (-3,20), (12,15)
Is this answer right?
Answer:
Blank 1: 64° (or 32°, depending on what the label applies to)
Blank 2: 42
Step-by-step explanation:
It is a common mistake to believe you have solved the problem when you have found the value of the variable(s) in the problem. You have correctly found the values of n (42) and m (9). However, that is not what the problem is asking for.
We cannot tell if the value (1/2n+11)° is referring to angle DAB, or to angle CAB. In any event, (1/2n+11)° = (1/2×42 +11)° = 32°.
If that is angle CAB, then angle DAB is twice that value, 64°.
If that is angle DAB, then angle DAB is 32°.
__
The side length CD is the same as any other side length in a rhombus, so ...
CD = 4m+6 = 4×9 +6
CD = 42 . . . . units
write the equation of the line that passes through the given point and has the given slope write all final answers in slope intercept form (3,-8); slope = -3
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
-8 = -3×3 + b = -9 + b
1 = b
so, the full line equation is
y = -3x + 1
Please help find x it would helpful
Answer:
12
Step-by-step explanation:
Apply the second theorem of Euclides.
x^2= 16*9 follows that x = sqrt(9*16) = sqrt(144) = 12
sqrt means square root
help me please someone
Step-by-step explanation:
a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.
the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.
that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.
so, yes, therefore the area grows or shrinks with the square of the scale factor.
FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.
1. k=2
new area = k² × old area = 4 × 12 = 48 square units.
2. k=5
new area = k² × old area = 25 × 12 = 300 square units.
3. k=1
new area = k² × old area = 1 × 12 = 12 square units.
4. k=1/4
new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.
5. k=1.2
new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.
$75 to $25 show your work
Answer:
decrease
Step-by-step explanation:
the percent change measures FROM the first value. A change from 50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50). A change from 75 to 50 is a change of -33.3% (25 is still the difference between the two. 25 is 33.3% of 75