Step-by-step explanation:
x^2 + (4+3)X + 12
x^2 + 4x + 3X + 12
X (X + 4) + 3 ( X + 4)
( X + 3) (X +4)
Solving steps:
[tex]\sf \rightarrow x^2\:+\:7x\:+\:12[/tex]
breakdown the following
[tex]\sf \rightarrow x^2\:+\:3x + 4x\:+\:12[/tex]
break the expressions into groups
[tex]\sf \rightarrow \left(x^2+3x\right)+\left(4x+12\right)[/tex]
factor the following
[tex]\rightarrow \sf x\left(x+3\right)+4\left(x+3\right)[/tex]
factor the common term: (x+3)
[tex]\rightarrow \sf \left(x+3\right)\left(x+4\right)[/tex]
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
Scale word problem
Someone please help me!!
Answer:
38.4 km
Step-by-step explanation:
Use a proportion.
1 cm is to 12 km as 3.2 cm is to x km.
1/12 = 3.2/x
1 × x = 12 × 3.2
x = 38.4
Answer: 38.4 km
Pls Hurry.
What is the area of a rectangle with vertices (Negative 8, Negative 2), (Negative 3, Negative 2), (Negative 3, Negative 6), and (Negative 8, Negative 6)?
___ square units
Answer:
20units^2
Step-by-step explanation:
Answer:
20units^2
Step-by-step explanation:
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 :)
The perimeter of the shape below is 24. One side is 5 in. What is the missing side?
Answer:
14
Step-by-step explanation:
5+5=10 and 7+7=14 and 14+10=24
Which expression is equivalent to -9k-3-9k-4−9k−3−9k−4?
-25−25
-7-18k−7−18k
-25k−25k
-12k-13−12k−13
In ΔNOP,the measure of ∠P=90°, NP = 16, ON = 65, and PO = 63. What ratio represents the cosecant of ∠N?
Answer: 65/63
Step-by-step explanation:
The cosecant of angle N is the reciprocal of the sine of angle N.
Using SOHCAHTOA, the sine of angle N is 63/65.
This means that the cosecant of angle N is 65/63.
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
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]
Which number is irrational?
8√
0.8¯
0.46
100√3
Answer:
I think √8
Step-by-step explanation:
an integer to the power of 2
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)
brain boggling boggle help pls
:)
Observe the division shown
To divide 2 by 9 Carl added a .0 on right of dividend and 0. on the right of quiotent .
Then he got 0.2Remainder recieved is 2 again
So these steps gonna repeating
The answer be like 0.222222..
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:
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].
A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours
Answer:
divide fifty out of one hundred times thirty. so x equals to fifteen hours
Mike is building storage boxes. Each box will have a length of 5 feet, a width of 412 feet, and a height of 312 feet. A pint of paint covers 50 square feet.
How many pints of paint does Mike need to buy in order to paint 4 boxes?
9 pints
7 pints
6 pints
5 pints
Answer:
Step-by-step explanation:
The question contains typos as I believe the boxes should be 5x4.2x3.2 in dimensions instead.
Assuming that and all 6 faces of each storage boxes will be painted, the surface area of each box is:
= (5*4.2*2) + (4.2*3.2*2) + (3.2*5*2)
= 100.88 square feet
4 boxes will have a total surface area of
100.88*4
= 403.52 square feet
Each pint of paint covers 50 square feet so a total of
403.52/50 = 8.07 or
9 pints is needed.
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
find the missing side length.
Use the formula shown:
6^2 + 2.5^ = c^2
36 + 6.25 = c^2
42.25 = c^2
Take the square root of both sides:
c = 13/2 as a fraction or 2.5495 as a decimal (round off as needed)
A number cube with a number 1 through 6 is rolled. find the probability of rolling a number greater than 3?
The probability of rolling a number greater than 3 is equal to
--> # of numbers greater than 3 / total # of numbers on the dice
--> [tex]\frac{3}{6} =\frac{1}{2}[/tex]
There the probability of rolling a number greater than 3 is 1/2
Hope that helps!
Find the area of the shaded polygon.
Answer:
A = 64 sq. unStep-by-step explanation:
This is a trapezium.
The formula od an area of a trapezium:
A = 1/2(a + b) · h
We have:
a = 10, b = 6, h = 8
substitute:
A = 1/2 · (10 + 6) · 8 = 1/2 · 16 · 8 = 8 · 8 = 64
Answer:
A = 64 sq. un
Step-by-step explanation:
6 * 8 + (4 * 8)/2 =
48 + 4 * 4 =
48 + 16 =
64
Match the following
A)
B)
C)
(Sorry if I didn’t put a picture it won’t let me do it…)
Answer:
No picture
Step-by-step explanation:
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
I do not understand
Hey there!
First, let's convert 4 into a fraction: 4/1
Now, multiply fractions:
1/4*4/1=1
is 1 greater than 4? of course not.
let's try Option B:
5/6*4/1
5 times 4 and 6 times 1
20/6
reduce the fraction
10/3
or
3+1/3 (less than 4)
Is it Option C? Let's try/
3/2*4/1
3 times 4 and 2 times 1
12/2
6
and 6 is greater than 4. Bingo!
How about Option D?
9/10*4/1
9 times 4 and 10 times 1
36/10
18/5
Hence, the answer is
[tex]\boxed{\boxed{\bold{option~C}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
#NeverGiveUp
:-)
Julia starts April with a credit card balance of $300 because she was not able to make the full
payment for March.
During April, she makes the following purchases:
April 10 - $250 for groceries.
April 18 - $800 for a new phone
April 23 - $80 for a birthday present for her brother
Calculate the Average Daily Balance given that there are 30 days in April. You will need to
divide April into four sets of days.
disclaimer: I'm not 100% sure if this is correct
Answer:9.66, or 10 if you rounded it up
Step-by-step explanation:I THINK that you add 280, 800, and 80 together to get -$1160, then divide 1160 and 30 maybe. then divide your answer with 4 to get 9.66, or 10.0
I hope this helps! if not, i am deeply sorry, friend.
,SivethTheDragon
The Average Daily Balance for Julia's credit card in April is approximately $846.33.
Here, we have,
To calculate the Average Daily Balance for Julia's credit card in April, we will divide the month into four sets of days based on her purchase dates. Here's the breakdown:
Set 1: April 1 to April 9 (9 days)
The balance remains at $300 because no purchases were made during this period.
Set 2: April 10 to April 17 (8 days)
Julia makes a purchase of $250 for groceries on April 10.
Therefore, the balance for these 8 days is $300 + $250 = $550.
Set 3: April 18 to April 22 (5 days)
Julia makes a purchase of $800 for a new phone on April 18.
Therefore, the balance for these 5 days is $550 + $800 = $1350.
Set 4: April 23 to April 30 (8 days)
Julia makes a purchase of $80 for a birthday present on April 23. Therefore, the balance for these 8 days is $1350 + $80 = $1430.
To calculate the Average Daily Balance, we sum up the balances for each set of days and divide by the total number of days in April:
(9 days * $300 + 8 days * $550 + 5 days * $1350 + 8 days * $1430) / 30 days
= ($2700 + $4400 + $6750 + $11440) / 30
= $25390 / 30
= $846.33 (rounded to the nearest cent)
Therefore, the Average Daily Balance for Julia's credit card in April is approximately $846.33.
To learn more on division click:
brainly.com/question/21416852
#SPJ4
Complete this proportion: 6/8 = a/12.
Answer:
9
Step-by-step explanation:
6 x
- = -
8 12
the relationship from 8 to 12 is divided by.666666666666
So, we do the same for 6
We get 9.
What is the measure of angle x? Show work.
Answer:
x = 67° (nearest whole degree)
Step-by-step explanation:
Sine Rule
[tex]\sf \dfrac{sin(A)}{a}= \dfrac{sin(B)}{b}= \dfrac{sin(C)}{c}[/tex]
where A, B and C are the angles, and a, b and c are the sides opposite the angles
Given information
From inspection of the triangle:
A = 38°a = 12B = x°b = 18Finding x:
Substitute given values into the formula and solve for x:
[tex]\sf \implies \dfrac{sin(38)}{12}= \dfrac{sin(x)}{18}[/tex]
[tex]\sf \implies 18\cdot\dfrac{sin(38)}{12}= sin(x)[/tex]
[tex]\sf \implies sin(x)=\dfrac32sin(38)[/tex]
[tex]\sf \implies x=sin^{-1}\left(\dfrac32sin(38)\right)[/tex]
[tex]\sf \implies x=67.44208077...[/tex]
Final Solution
x = 67° (nearest whole degree)
Answer:
∠x = 67°
Step-by-step explanation:
From the Law of Sines,
we know that :
sin(A) / a = sin(B) / aHere we have :
a = 12b = 18∠A = 38°∠B = x°On substituting,
sin38° / 12 = sinx° / 18sinx° = 3/2 x sin38°x = 3/2sin38° x sin⁻¹∠x = 67°HELP ASAP 50 POINTS ITS GEOMENTRY
Answer:
1.c
2.a
3.d
4.e
5.f
6.b
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
find the area of the shape below
Answer:
396 cm²
Step-by-step explanation:
Let us break this shape into two parts.
The left part:
27 cm² * 10 cm² = 270 cm²
The right part:
24 cm² - 10 cm² = 14 cm²
14 cm² * 9 cm² = 126 cm²
Total area:
270 cm² + 126 cm² = 396 cm²
PLS HELP I UAVE SCHOOL TMR TRY TO EXPLAIN IT IF YOU CAN OR TELL ME THE ANSWER THX
Answer:
c=0.12m
Step-by-step explanation:
Okay, so to find the relation between minutes and cost is by dividing them, specifically cost over minutes. Cost = x amount of dollars per minute (m). This can be written with any of the given amounts. 60 = x(500) then 60/500 = x = 0.12