Answer:
$6
Step-by-step explanation:
System of equations
x+y = 18
0.03x+0.06y = 5% of 18 = 0.9
(0.03x+0.06y=0.9)*100 = 3x+6y=90
(3x+6y=90)÷3 = x+2y=30
Substract (1)-(2)
x+2y=30 ... (1)
x+y=18 ... (2)
y=12
x+12=18
x=6
Thanks.
Which expression is equivalent to the expression -3(4x - 2) - 2x
A) -8x
B) -16x
C) -14x - 2
D) -14x + 6
Answer:
-14x + 6 (option D)
Step-by-step explanation:
To solve the given equation, you first need to distribute the negative 3.
So, you need to multiply
(4x)(-3) ; (-2)(-3)
(4x)(-3)= -12x
(-2)(-3)= 6
So, your new, distributed, equation would be:
-12x + 6 - 2x
If we combine like terms (-12x - 2x), our new equation will be:
-14x + 6
An adult takes 400mg of vitamin c.
Each hour, the amount of vitamin c in
the person's system decreases by about
29%. How much vitamin c is left after 6
hours?
Answer:
51.24 mg
Step-by-step explanation:
400 x (0.71^6) = 51.24
Answer:
51.24 mg
Step-by-step explanation:
400 x (0.71^6) = 51.24
a store is having a clearance special and every item is 20% off what is the sale price of a 230 suit
Answer:
184
Step-by-step explanation:
80% of 230
0.8x230
8×23
=184
16
21
Jade works as a decorator.
She is paid £22.80 per hour for the first 35 hours she works each week.
She is paid 15% more per hour for each extra hour she works.
One week, Jade was paid £981.54
In total, how many hours did she work that week?
You must show your working.
Let's assume that all hours she worked were the first 35 hours of the week.
She would've made £22.80 x 35 = £798
So, she would've made 981.54 - 798 = 183.54 less than the actual amount
She is paid 15% more per hour after the first 35 hours -> She will get £26.22 per hour.
So, she work for 183.54 : 26.22 = 7(hours) after the first 35 hours
So in total, she worked for 35 + 7 = 42(hours).
Answer:
42 hours
We know she works at least 35 hours, so 35x22.80=798. This is her base pay without any extra hours.
981.54-798 =183.54. This is the amount she earnt for working extra hours. if we divide this by the rate she earns for extra hours (22.80x1.15=26.22), 184.54/26.22=7, we know she worked an additional 7 hours.
and 35 plus 7 = 42 :)
1/(x+1) divided by 4/(x+1)+6/x
Answer:
4x/(x+1)(x2+x+6)
Step-by-step explanation:
find the total surface area of this triangular prism
answer quick
Answer:
716
Step-by-step explanation:
Triangle = bh / 2
24 x 14 = 336, you should divide by 2 but there is 2 of them (front and back) so cancels out. 10 x 24 is 240 and cancels for same reason. 336 + 240 = 576. 14 x 10 = 140 and 576 + 140 = 716
Answer:
976 cm^2
Step-by-step explanation:
area of triangle is 1/2 times base times height
notice we have two triangles
so 14 * 24 * 0.5 is 168
168 times 2 is 336
now we have a rectangle on the bottom so its area is base times height
14 times 10 is 140
and now we have two rectangles on either side
25 times 10 is 250
250 times 2 is 500
500+140+336
976 cm^2
If 0 is an angle in quadrant II, what is the value of cos0?
in the II Quadrant, let's recall that the adjacent side or cosine is negative whilst the opposite side or sine is positive, thus
[tex]tan(\theta )=-\sqrt{\cfrac{19}{17}}\implies tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{19}}}{\underset{adjacent}{-\sqrt{17}}}\impliedby \qquad \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]
[tex]c=\sqrt{(-\sqrt{17})^2~~ + ~~(\sqrt{19})^2}\implies c=\sqrt{17+19}\implies c=\sqrt{36}\implies c=6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{17}}}{\underset{hypotenuse}{6}}~\hfill[/tex]
PLEASE HELP!!!!!!!!
How do I write these in Slope y-intercept form example: y=1/2x-5
7) 2x - y = 3
8) 2x+4y = 8
9) 3x-5y=10
10) 3x-1/2y=2
Answer:
The answers would be:
7) y=-0.5x+2
8) y=-0.5x+2
9) y=0.6x-2
10) y=6x-4
Step-by-step explanation:
HELP ASAP WILL GIVE BRAINLIEST!!!
Answer:
1222 ft^2
Step-by-step explanation:
2(13x9) + 2(5x12) + 2(4.5x9) + 2(9x11) + 2(19x11) + (19x9)
The difference of x and 7 is at most -28. Translate the sentence into an inequality
Answer:
x - 7 [tex]\leq[/tex] -28
Step-by-step explanation:
I guarantee you that this is correct. It's pretty simple to understand.
Please mark Brainliest. :)
I think of a number multiply it by 2, subtract 3 and multiply by 4
Step-by-step explanation:
(2x - 3)×4
random number multiplied by 2, then minus 3 from that result, and multiply that result by 4.
Which of the following graphs has a zero at (-5)?
Solve the system by substitution.
8x +y = 4
-23 – 8= y
Answer:
(2,-12)
Step-by-step explanation:
Correct equations:
8x+y=4
-2x-8=y
------------------
Rearrange the first equation:
8x+y=4
y=4-8x
Now use this value of y in the second equation:
-2x-8=y
-2x-8=4-8x
6x = 12
x = 2
When x = 2:
y=4-8x
y=4-8(2)
y = -12
(2,-12)
--
One can also graph the two equations and find the point they intersect. See the attached graph.
Ginger and Caleb each have 0.77 of a dollar. Ginger does not have any quarters. Caleb does not have any dimes. Explain how many of each type of coin each of them might have.
Ginger can have 7 dimes and 7 pennies while Caleb can have 3 quarters and 2 pennies.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Ginger and Caleb each have $0.75
Ginger does not have any quarters. He might have 7 dimes and 7 pennies.
Caleb does not have any dimes. He can have 3 quarters and 2 pennies.
Ginger can have 7 dimes and 7 pennies while Caleb can have 3 quarters and 2 pennies.
Find out more on equation at: https://brainly.com/question/2972832
ILL GIVE BRAINIEST
I’ll give brainiest A marble has a radius of 2 cm. About how many marbles will it take to fill a cylindrical jar with a diameter of 16 cm and a height of 20 cm? (Volume of a sphere =
4
3
r
3
π
4
3
r
3
π
)
A.
40 marbles
B.
80 marbles
C.
120 marbles
D.
240 marbles
Answer:
120 marbles
Step-by-step explanation:
we can find the answer by dividing the volume of the cylinder by the volume of the marble.
V of a cylinder is
pi×r^2×h = 1280pi
V of marble is
4/3 × pi × r^3
V is 32/3 pi
so final answer is 1280pi ÷ (32/3 × pi)
ANSWER IS 120 MARBLES
(PLS HELP QUICK POINTS)
A soda can holds 235.5 in^3 of liquid. If the cab is 5 inches tall, what is the distance across the top of the soda can.
Answer:
Step-by-step explanation:
To make a guess as to the volume, it may be easier to guess in cups rather than centimeters or inches. One may visualize that a 12 ounce soda can is about 1.5 cups. This is equivalent to 354.88 cubic centimeters or 21.656 cubic inches.
How is the graph of the parent function, y = StartRoot x EndRoot transformed to produce the graph of y = StartRoot negative 2 x EndRoot? It is translated horizontally by 2 units and reflected over the x-axis. It is translated horizontally by 2 units and reflected over the y-axis. It is horizontally compressed by a factor of 2 and reflected over the x-axis. It is horizontally compressed by a factor of 2 and reflected over the y-axis.
Answer:
The answer is D
Step-by-step explanation:
The parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.
It is given that the two functions one is the parent function [tex]\rm y = \sqrt[3]{-x}[/tex] and the transformed function [tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex].
It is required to find the transformation rules.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have parent function:
[tex]\rm y = \sqrt[3]{-x}[/tex]
and transformed function:
[tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex]
If we multiply the parent function with a negative value it will f(x) over the x axis.
By the transformation rules of the function y = -f(x) reflects f(x) over x-axis.
After applying the transformation to the parent function:
[tex]\rm y = -\sqrt[3]{-x}[/tex]
By the transformation rules of the function if multiply the function with less than the unit value it will be compressed by the multiplied factor ie.
y = k f(x) and k<1, the function will be compressed by the k factor hence:
[tex]\rm y = -0.4\sqrt[3]{-x}[/tex] (after applying the second transformation)
As we can see the transformed function is subtracted by -2
By rules of transformation, for y=f(x-A) it would be a horizontal translation of 'A' unit to the right.
After applying this transformation we get:
[tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex] which is a transformed function derived after applying the transformation to the parent function.
Thus, the parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.
Learn more about the function here:
brainly.com/question/5245372
this morning carlos enters the room late. the distance from the road from their house to the school is 100 meters but he could travel it for 50 seconds what is his speed
Answer:
2 m/s or 7.2 km/h
Step-by-step explanation:
Time = 50 seconds
Distance = 100 meters
Velocity = distance/time = 100/50 = 2 m/s or 7.2 km/h
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \large \purple{ \rm{Given↦}}[/tex]
Distance by road from their house to the school is 100 m.Time Given 50 sec[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \large \purple{ \rm{To \: find↦}}[/tex]
Carlos speed[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \large \purple { \rm{Assumption↦}}[/tex]
let the speed be x[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \large \purple { \rm{ To \: find \: speed \: we \: use↦}}[/tex]
[tex] {\boxed{ \rm{Speed= \frac{ Distance } {Time}}}}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \large \purple{ \rm{Substitute \: value \: according \: to \: formula. \: }}[/tex]
[tex] \large \rm{s = \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = \cancel \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = 2 m/s \: or \: 7.2km/h }[/tex]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
If two men walk in opposite directions for 8 meters then turn left and walk six meters how far apart are they
Answer:
20 meters
Step-by-step explanation:
Find two positive consecutive
even integers such that the
square of the smaller integer
decreased by five times the
larger integer is 536.
Answer:
[tex]26[/tex] and [tex]28[/tex].
Step-by-step explanation:
Let [tex]x[/tex] denote the smaller one of the two even integers ([tex]x > 0[/tex] since both integers are positive.) The larger one of the two consecutive even integer would be [tex](x + 2)[/tex].
The square of the smaller integer would be [tex]x^{2}[/tex].
Five times the larger integer would be [tex]5\, (x + 2)[/tex].
Subtract five times the larger integer from the square of the smaller integer to get [tex](x^{2} - 5\, (x + 2))[/tex].
The value of this expression should be equal to [tex]536[/tex]. In other words:
[tex]x^{2} - 5\, (x + 2) = 536[/tex].
Rewrite and simplify this quadratic equation:
[tex]x^{2} + (-5)\, x + (- 546) = 0[/tex].
[tex]a = 1[/tex].[tex]b = (-5)[/tex].[tex]c = (-546)[/tex]Apply the quadratic formula to find possible values of [tex]x[/tex]:
[tex]\begin{aligned}x_{1} &= \frac{-b + \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{-(-5) + \sqrt{(-5)^{2} - 4 \times 1 \times (-546)}}{2}\\ &= \frac{5 + \sqrt{2209}}{2} \\ &=\frac{5 + 47}{2} \\ &= 26\end{aligned}[/tex].
[tex]\begin{aligned}x_{2} &= \frac{-b - \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{5 - \sqrt{2209}}{2} \\ &=\frac{5 - 47}{2} \\ &= -21\end{aligned}[/tex].
Since [tex]x > 0[/tex] (both numbers are supposed to be positive), [tex]x = 26[/tex] would be the only valid solution.
Therefore, the two integers would be [tex]x = 26[/tex] and [tex]x + 2 = 28[/tex].
NEED HELP ASAP!!!!
Which equations define y as a linear function of x ?
Select all that apply.
A
y=2x
B
y=5x3+3
C
y=12x−9
D
y=x2
E
y=4x2+2x
F
y=2(4x−2)+16
Answer: A, C, F
Step-by-step explanation:
Which fraction represents the slope formula for the line containing (4, 9) and (0, 5)? A. B. C. D.
The fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1
What is the Formula for the Slope of a Line?Slope of a line = change in y/change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Given the following points:
(4, 9) and (0, 5)
Slope of the line would be:
Slope = (5 - 9)/(0 - 4)
Slope = (-4)/(-4)
Slope = 1
Therefore, the fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1
Learn more about slope formula on:
https://brainly.com/question/15291483
HELP ASAP 50 POINTS ITS GEOMENTRY
Answer:
1.c
2.a
3.d
4.e
5.f
6.b
help... Reference books are for use in the library. There are 16 bookshelves for the reference books. After use, they need to be returned to a special collection box for shelving. If 128 reference books are in use and 84 reference books are in the collection box, how many reference books are on the shelf?
Answer:
Your answer would be:
13.25
128 books in use + 84 books in the collection box =212 reference books on the shelf
212 books / 16 shelves =13.25 per shelf
Logically the answer 13.25 wouldn't make sense because you can't put a 25th of a book on a shelf, so that means you will need to put the "0.25 book" away. Technically your answer would be 13. Due to the question, however, it would be 13.25.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Reflect the shape A in the line x=1
What are the coordinates of the vertices of the image?
Answer:
(0,4) (0,7) (-2,4)
Step-by-step explanation:
The line x=1 is a vertical line that passes through the point (1,0). So we then place the new triangle at equal distance from the line.
I hope this helps!
please mark brainliest!!
Answer:
i think you have to multiply
the answer is- 28.512
Step-by-step explanation:
i dont know if this is right im sorry but i think it is
help this is due tom
Answer:
9. (a) 1/4
(b) remove 3 alphabet cards
(c) add 4 number cards
10. 1/8
Step-by-step explanation:
Question 9
Given:
8 number cards10 alphabet cards6 picture cards⇒ total number of cards = 8 + 10 + 6 = 24 cards
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
(a) P(picture card) = 6/24 = 1/4
(b) P(alphabet card) = 10/24 = 5/12
If we remove 3 alphabet cards from the box
⇒ number of alphabet cards = 10 - 3 = 7
⇒ total number of cards = 24 - 3 = 21
Therefore, P(alphabet card) = 7/21 = 1/3
(c) P(number card) = 8/24 = 1/3
If we add 4 number cards to the box:
⇒ number of number cards = 8 + 4 = 12
⇒ total number of cards = 24 + 4 = 28
Therefore, P(number card) = 12/28 = 3/7
--------------------------------------------------------------------
Question 10
Given:
ΔSDR = ΔPRQLeg length of ΔSDR and ΔPRQ = 4 cm⇒ area of ΔSDR = area of ΔPRQ = 1/2 × 4 × 4 = 8 cm²
As PR = SD = 4cm
Area of rectangle = (4 + 4) × (12 + 4) = 128 cm²
P(point lies in ΔSDR) = 8/128 = 1/16
P(point lies in ΔPRQ) = 8/128 = 1/16
P(point lies in ΔSDR) OR P(point lies in ΔPRQ) = 1/16 + 1/16 = 2/16 = 1/8
28 is increased by 150%. what's the final number
Answer:
70
Step-by-step explanation:
20x(1+150%)
28x(1+1.5)
28x2.5
70
21. 2n= 53
Explanation of the division please, and how you got the answer
Answer:
2n= 53
and you divide both sides by 2
2n/2 =53/2
2 divided by 2 is 1 and 53 divided 2 is 26.5
n= 26.5
Solve and show your work for each question.
(a) What is expressed as a fraction in simplest form?
(b) What is expressed as a fraction in simplest form?
(c) What is expressed as a fraction in simplest form?
The value of 0.36 when converted to a fraction in the simplest form is 9/25.
How to calculate fractions in simplest form?Your information is incomplete. Therefore, an overview will be given. It should be noted that a fraction is in its simplest form when the numerator and denominator are prime.
From example, let's convert 0.36 to a fraction on its simplest form. This will be:
0.36 = 36/100 = 9/25
In conclusion, 0.36 is 9/25 in the simplest form.
Learn more about fractions on:
https://brainly.com/question/78672
please help me bro please