solve this system of equation
Natasha charges $12 per hour for babysitting in her neighborhood . what equation relates her pay for a job to the nimber of hours she works?
If the first chapter of a certain book is 16 pages long and makes up 4% of the book, how many pages does the entire book have?
If the first chapter of a certain book is 16 pages long and makes up 4% of the book, then the entire book will have 400 pages.
To find the total number of pages in the entire book, we can set up a proportion based on the given information.
Let "x" be the total number of pages in the book.
The first chapter is 16 pages long and makes up 4% of the book, so the proportion can be set up as follows:
(16 pages) / (x pages) = 4% / 100%
To solve for "x," we can cross-multiply and solve for "x":
16 × 100 = 4x
1600 = 4x
Now, divide both sides by 4 to find the value of "x":
x = 1600 / 4
x = 400
So, the entire book has 400 pages.
Learn more about Proportion click;
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How do I solve this?
The interior angles of any triangle always sum to 180°.
In the triangle, angles C and D are labeled congruent, so the missing angle has measure
180° - 2 (6x - 5)°
This angle is supplementary to the one labeled (11x + 1)°, which means
180° = (11x + 1)° + (180° - 2 (6x - 5)°)
Solve for x :
180° = (11x + 1)° + 180° - 2 (6x - 5)°
0 = (11x + 1)° - 2 (6x - 5)°
0 = (11x)° + 1° - (12x)° + 10°
(12x - 11x)° = 1° + 10°
x° = 11°
x = 11
[tex] {x}^{2} - 21 = 79[/tex]
plz help it's due it 2 min
[tex]\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} - 21 = 79[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} = 79 + 21[/tex]
[tex]\qquad \sf \dashrightarrow \: x {}^{2} = 100 [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \pm\sqrt{100} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \pm \sqrt{10 \times 10} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \pm10[/tex]
Joe is packing 1-centimeter cubes into a prism.
What is the volume of the prism?
Show your work below.
Answer:
l x b x h= 5 x 6 x 7
210cm^3
Step-by-step explanation:
Three circular arcs of radius units bound the region shown. Arcs and are quarter-circles, and arc is a semicircle. What is the area, in square units, of the region?.
Answer:
Three circular arcs of radius $5$ units bound the region shown. Arcs $AB$ and $AD$ are quarter-circles, and arc $BCD$ is a semicircle.
Step-by-step explanation:
i need help plzzz i will give brainliest
Answer:
given below
Step-by-step explanation:
Valid:
n * 5 = 5n .....1st optionn(1+1+1+2) ........4th optionn * 5 = 5n ............5th option1*n+1*n+1*n+2*n ........sixth optionInvalid:
1(n + 2n) ............3rd option0*n+0*n+0*n+2*n ...............2nd optionLet g(x) = |x + 1|, solve the equation g(x) = 2x + 4
Answer:
Step-by-step explanation:
g(x)= -x-1 or g(x) = x+1
if g(x) = -x-1
-x-1=2x+4
-x=2x+5
-x/2=x+5
-x/2 -x=5
-x/2-2x/2=5
-x-2x=5
-3x=5
x=5/-3
if g(x) = x+1
x+1=2x+4
x=2x+3
x/2=x+3
x/2-x=3
x/2-2x/2=3
x-2x=3
-x=3
x=3
Two groups of students were asked how many pets they had. The table shows the numbers for each group: Group A 1 2 1 1 3 5 4 2 3 Group B 3 2 3 2 2 2 1 1 2 Based on the table, which of the following is true? The interquartile range for Group A students is 0. 5 less than the interquartile range for Group B students. The interquartile range for Group A students is 1. 5 more than the interquartile range for Group B students. The interquartile range for Group A students is equal to the interquartile range for Group B students. The interquartile range for Group A students is 1 more than the interquartile range for Group B students.
The interquartile range for Group A employees is 1 more than the interquartile range for Group B students is true.
Given
Data represented as a number of hours spent studying by Group A Students:
1, 2, 1, 1, 3, 3, 2, 2, 3
Arranging it in ascending order: 1, 1, 1 ,2, 2, 2, 3, 3, 3,
As a number of terms are odd,
The median will be the middle value of observation.
Which is 2.
What is the interquartile range?The interquartile range (IQR) is the range of values that resides in the middle of the scores.
The Data arranged in ascending order are; (1,1,1,2,2,2,3,3,3).
Median of (1, 1, 1, 2) = 1 [tex]\rm Q_1=1[/tex]
Median of (2, 3, 3, 3) =3 [tex]\rm Q_3=3[/tex]
Interquartile Range = [tex]\rm Q_3-Q_1[/tex] = 3- 1 =2
For Data Set 2,
The Data for group B students are: 3 2 3 2 2 2 1 1 2
Arranging in ascending order: 1,1,2,2,2,2,2,3,3
The total number of observations = 9
Median = 2
Arranging the data as : (1,1,2,2) 2,(2,2,3,3)
Median of (1,1,2,2)= Number of observations is 4 which is even;
[tex]\rm Median = \dfrac{1+2}{2}\\\\Median = \dfrac{3}{2}[/tex]
Median of (2,2,3,3) = [tex]\rm Q_3 =\dfrac{3+2}{2} = \dfrac{5}{2}[/tex]
S = Interquartile Range = [tex]\rm Q_3-Q_1=\dfrac{5}{2}-\dfrac{3}{2}=1[/tex]
The interquartile range for Group A Students =Interquartile range for Group B students + 1.
[tex]\rm D=S_1+1[/tex]
Hence, the interquartile range for Group A employees is 1 more than the interquartile range for Group B students is true.
To know more about interquartile range click the link given below.
brainly.com/question/3507706
Graph a line with a slope of 4 that contains the point (3,0)
[tex]\huge\fbox{Hello\:there!}[/tex]
We are given the slope of the line and a point that it passes through.
So, we can use the Point-Slope Formula:
[tex]\rm{y-y1=m(x-x1)[/tex]
Where y1 is the y-coordinate of the point, m is the slope of the line, and x1 is the x-coordinate of the line.
Now, plug in the values:
[tex]\rm{y-0=4(x-3)[/tex]
[tex]\rm{y-0=4x-12[/tex]
[tex]\rm{y=4x-12[/tex] (the equation of the line in slope-intercept form)
Now, how to graph it?
First of all, the y-intercept is (0, -12)
Remember, y-intercepts always have an x-coordinate of 0.
Now, 4 is the slope (Rise/Run)
Where Rise is how many units we move up or down, and Run is how many units we move left or right.
In this case, we move 4 up, over 1, up 4, over 1, and so on, until we have a line.
Then all we have to do is take a ruler and connect the points. :)
Hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-Sparkles^**^*^[/tex]
5(x+7) = 6x+1 what is X
Answer:
I have attached a photo. that might help you out.
Find the value of x.
A 15.0
B. 13.5
C. 9.0
D. 7.5
Answer:
D
Step-by-step explanation:
The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{x}{7}[/tex] = [tex]\frac{15}{14}[/tex] ( cross- multiply )
14x = 105 ( divide both sides by 14 )
x = 7.5 → D
what is equivalent to 9(2−x)
Answer:
18-9x
Step-by-step explanation:
15. The sides of a triangle are in the ratio of 3:8:7. If the perimeter of the triangle is 63 cm, how long is the shortest side?
Answer:
10.5cm
Step-by-step explanation:
3+8+7=18, this means that there are 18 parts assuming each part reprecents 1cm
63/18=3.5
so 1 part=3.5cm
3.5*3=10.5cm
Three chairs weigh eighteen kilograms and seven hundred fifty grams. What is the weight of one chair?
Answer:
6 kilograms and 250 grams
Step-by-step explanation:
How you can solve this problem is you can divide each number by 3, 18/3 is 6, and 750/3 is 250. So, one chair weighs 6 kilograms and 250 grams.
Select the correct answer. What is 42% of 75? A. 315 B. 105 C. 31.5 D. 10.5
1% = 0,01
42% = 42 * 0,01 = 0,42
42% of 75 = 0,42 * 75 = 31,5
Answer: C)
umm my sister gave me this but i never learned this HELPPPP...
Answer: 20 Apples in total
Step-by-step explanation: 2 apples per 10%
yes yes
if x varies inversely at the cube root of y and x=1 when y =8 find y when x=3
Answer:
I don't know what this problem is but by how I see it is; the difference between 1 and 8 is 7, so 3+7=10.
Step-by-step explanation:
To see it better;
x-1, y-8 & x-3, y-10
I hope I helped you!!
Create one equation 3(x+3)= x +
Answer: 4 (x +3) - 3+9=x
Step-by-step explanation:
what is the solution to the system of equations that is graphed?
Answer:
(-4,-3)
Step-by-step explanation:
Find the point where the 2 lines intersect. In this problem it is (-4,-3)
x=-4
y=-3
help me plz
76° A B D с What is the measure of ZC? (Hint: just give numerical answer...
Answer:
∠ACB = 38°
Step-by-step explanation:
∠ACB is an inscribed angle while arcAB is its intercepted arc
An inscribed angle is equal to half the length of its intercepted arc
Hence, ∠ACB = 1/2 the measure of arc AB
arc AB = 76°
Hence ∠ACB = 1/2 of 76
76/2 = 38
Therefore ∠ACB = 38°
Please help me I will give a brainly!!!!
Answer:
Yes
Step-by-step explanation:
1 : The athlete's hands push the medicine ball forward. The medicine ball pushes the athlete's hands backward.
2: Friction
3: The first pair of action-reaction force pairs is: foot A pushes ball B to the right; and ball B pushes foot A to the left. The second pair of action-reaction force pairs is: foot C pushes ball B to the left; and ball B pushes foot C to the right
(b)
Each child received 3 candies and there were 7 candies left over. How many
candies were there altogether?
Answer:
10
Step-by-step explanation:
3 + 7 = 10
Since there's no exact number of children, and they ask how many candies there were altogether.
Answer:
10
Step-by-step explanation:
3+7=10
hope you understood....
2) Jeff purchased 5 items at the same price
and 1 item for $4.75. What was the
individual price of the 5 items if Jeff's total
was $27.65 before tax?
quidolino for how much weight children of
Answer:
6
Step-by-step explanation:
because ms maules said 6
Find the slope of the line passing through the points (3, 8) and (7, -7)
Answer:
The answer would be -15/4
Step-by-step explanation:
[tex]\frac{-7-8}{7-3} =\frac{-15}{4}[/tex]
This is the answer because it is in its simplest form
Answer:
[tex]\frac{-15}{4}[/tex]
Step-by-step explanation:
Given the following question:
[tex](x1,y1)=(3,8)[/tex]
[tex](x2,y2)=(7,-7)[/tex]
Use the formula over slope to find the answer. (rise / run)
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-7-8}{7-3} =\frac{-15}{4}[/tex]
[tex]=\frac{-15}{4}[/tex]
Hope this helps.
(the
graph shows the units of power f(t) after t years
units of Power
100 + lifespan of commucation Statellite
-
30.
60
Describe the intercepts
on the graph.
2.0
years
2 4 6 8 10 hil
at x = 0, y = 100, y-intercept
meaning at 0 years, at the very beginning of functioning, the satellite had 100 units of power.
at y = 0, x = 10, x-intercept
meaning, at year 10, the satellite had 0 units of power, already out of power.
1, 9, 81, 729, ... what is the sequence to this
multiply by 9
1 ×9 = 9
9×9 = 81
81 ×9 = 729
Answer:
each time, you multiply the number by 9
Step-by-step explanation:
1x9=9
9x9=81
81×9=729
If you wanted to know the next number in the sequence, just multiply 729 by 9 which equals 6561.
hope this helps.
Which graph has a domain of x>-3
25pts
Answer:
The answer is C)
Step-by-step explanation:
Because -3 is between -2 and -4
Answer:
D
Step-by-step explanation:
Domain = all the values that go into a function
The picture of your graphs is very blurry and I can't see the whole of the last graph (D), but from a process of elimination, I think D is the answer as the domains of the other graphs are:
A: x ≥ 3
B: x ≥ 5
C: x ≤ -3
You move down 9 units and right 4 units. You end at (2, -5). Where did you start?
Answer this question by starting at the original point and moving opposite to what the question asks.
Instead of moving down 9 units, starting at (2, -5) move up 9 units.
By doing this, you are now at (2, 4)
Starting at (2,3) move to the left by 4 units.
You end up at ( -2,4)
You can also solve this problem by using addition.
To find the original add/subtract the units from the coordinates (2, -5)
To find the x coordinate: subtract 4 from 2: -2
To find the y coordinate: add 9 to -5: 4
(-2, 4)
