Answer: x = 6
Step-by-Step Explanation:
=> -9x + 2x + 32 = -10
= -7x + 32 = -10
= -7x = -10 - 32 = -42
=> x = -42/-7 = 42/7 = 6
Therefore, x = 6
[tex]\rule{300}{1}[/tex]
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
-9x+2x+32=-10. what is x?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer \& How to solve:-}}}[/tex]
When solving an equation, we need to make sure all variables are on the
left-hand side, and all numbers are on the right-hand side.
There are numbers on both sides, so we need to move all of them to the right.
[tex]\bold{-9x+2x=-10-32}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{-9x+2x=-42}[/tex] Next, combine like terms (-9x+2x).
[tex]\bigstar[/tex] On further simplification,
[tex]\bold{-7x=-42}[/tex] Next, divide by -7 on both sides.
[tex]\bigstar[/tex] Which results in
[tex]\bold{x=6}[/tex]
Note:-It's always a good idea to make sure the solution is correct.
We can check that by substituting the value of x (x=6) in lieu of x (into the original equation) and seeing whether or not we have a true statement:-
[tex]\bold{-9(6)+2(6)+32=-10}[/tex]
[tex]\dagger[/tex] On simplification,
[tex]\bold{-54+12+32=-10}[/tex]
[tex]\dagger[/tex] On further simplification,
[tex]\bold{-42+32=-10}[/tex]
[tex]\dagger[/tex] Which results in
[tex]\bold{-10=-10}[/tex]
LHS=RHS, so our solution is indeed correct.
So we conclude that [tex]\boxed{\bold{x=6}}[/tex].
Good luck with your studies.[tex]\rule{300}{2}[/tex]
Polly bought a new collar and leash for her dog. The total was $7.50. She paid with a ten-dollar bill.
How much change did she receive? $
Describe fully the single transformation that maps triangle A onto triangle B.
5
A
4
B
3
2
1
1
-5 -4 -3 -2 -1 0
-1
2 3
х
5
5
-2
و دن د
-3
-4
-5
x+
Describe fully the single transformation that maps triangle A onto triangle B
Answer:
reflection in the line y=4
Step-by-step explanation:
Triangle B is a mirror image of Triangle A. Point (-1, 4) is shared between the two figures, so is invariant in the transformation.
__
Triangle B is a reflection of Triangle A in the horizontal line y=4.
Help me with this question please
Given:
Handle
Height= 4 inDiameter= 1 inMain body
Height= 14 inDiameter= 3 inTo find:The total amount of wood needed to build the rolling pin.
Solution:[tex]\huge\boxed{\sf{Formula: \pi {r}^{2} h}}[/tex]
[tex]\huge\boxed{\sf{\red\pi \red= \red3\red.\red1\red4}}[/tex]
Handle:[tex]V = 3.14 \times {0.5}^{2} \times 4[/tex]
[tex]V = 3.14 \: {in}^{3} [/tex]
[tex]\boxed{\sf{V = 3.2 \: {in}^{3} }}[/tex]
Main body:[tex]V = 3.14 \times {1.5}^{2} \times 14[/tex]
[tex]V = 98.91 \: {in}^{3} [/tex]
[tex]\boxed{\sf{V = 99 \: {in}^{3} }}[/tex]
Total:[tex]V = 3.2+99 [/tex]
[tex]\large\boxed{\sf{V = 102.2 \: {in}^{3} }}[/tex]
Hence, the total amount of wood needed to build the rolling pin is 102.2 cubic inches.
Seventy percent of the class is present. There are 14 kids present. How big is the whole class?
Answer:
20
Step-by-step explanation:
Find 30% of the class
then add it
30% x 14 / 70% = 6
6 + 14 = 20 kids
Hope it helped ! Have a nice day !
we know that 14 is 70%, how much will it be for 100%? or namely the whole class?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 14 & 70\\ x& 100 \end{array} \implies \cfrac{14}{x}=\cfrac{70}{100}\implies \cfrac{14}{x}=\cfrac{7}{10} \\\\\\ 140=7x\implies \cfrac{140}{7}=x\implies 20=x[/tex]
2.96 , 3 and 1/5 , 3.48 , 3 and 1/4 greatest to least
Answer:
3 , 2.96 , 1/5 (0.2)
3.48 , 3 , 1/4 (0.25)
Step-by-step explanation:
descending order
how to do the 2nd the 3rd one?
z + 38° = 180°
(L.P)
z = 142°
y = 32° (alternative angle of angle FCA)
x = 142° (alternative angle of angle z)
2.x + 65 = 180
(l.p)
x = 180 - 65
x = 115°
y = x (alternative angle of x)
y = 115°
z = y (V.O.A)
z = 115°
~Tulpe⚘
Answer:
Step-by-step explanation:
2) Linear pair: Two angles are called linear when they are adjacent angles and the non common arms form a straight line. They add uo to 180
z + 32 = 180 {linear pair}
z = 180 - 32
z = 148°When parellel lines are cut by a transversal alternate interior angles are equal.
y = 32° {Alternate interior angles}
x = z {Alternate interior anlges}
x = 148°
3) x +65 = 180 {linear pair}
x = 180 - 65
x = 115°y = x {Alternate interior angles}
y = 115°z = y {Verically opposite angles}
z = 115°
please help! also please explain how to solve
Answer:
B
Step-by-step explanation:
a+2d=0
a+3d=6
d=6
a=6-3(6)
a=6-18
a= -12
a+(n-1)d
= -12+(n-1)6
= -12+6n-6
= -18+6n
A copper pipe has an outside radius of 3 centimeters. The pipe is 200 centimeters long and the copper is 0.2 centimeters thick, so there is a cylindrical hole through the center of the pipe. What is the volume of the copper used to make the pipe
The volume of the copper used to make the pipe is 25.12 cm³.
To calculate the volume of the copper used to make the pipe, we use the formula below.
Formula:
V = πht²................ Equation 1Where:
V = Volume of the copperh = Length of the copper pipet = Thickness of the copper pipeπ = PieFrom the question,
Given:
h = 200 cmt = 0.2 cmπ = 3.14Substitute these values into equation 1
V = 200(3.14)(0.2²)V = 25.12 cm³Hence, the volume of the copper used to make the pipe is 25.12 cm³
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find f(3) when f(x)=2x+5
Answer:
f(3) = 11
Step-by-step explanation:
Substitute x=3 into the equation so:
f(3) = 6+5
f(3) = 11
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
find f(3) when f(x)=2x=5
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
Write 3 in lieu of x and simplify:-
[tex]\Large\text{f(3)=2(3)+5}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\text{f(3)=6+5}[/tex]
[tex]\bigstar[/tex] Which results in
[tex]\Large\text{f(3)=11}[/tex]
Good luck with your studies! :-)[tex]\rule{50}{1}\smile\smile\smile\smile\rule{50}{1}[/tex]
what does the equation 7x^2-3y^2-x+2y+4=0 represent
a)circle
b)ellipse
c)hyperbola
d)parabola
Answer:
Circle
Step-by-step explanation:
because a hyper bole is (y-k) 2b2 -(x-h) 2a2=1
ellipse is = (x-h) 2a2 + (y-k) 2b2 = 1
parabola is y= a (x-h) 2+ k
that's why circle is the answer
Amy is planning the seating arrangement for her wedding reception. Each round table can sit 10 guests. The head table can sit the bride and groom with the 6 wedding attendants. If Amy expects 186 to 236 guests to attend her wedding, including the attendants, what is the range for the number of round tables she will need for her reception?
What is radius? Help me out.
Answer:
Radius is half the diamiter of a circle, basically the whole length from one point of the circle to the middle.
Answer:
Radius is how far the middle of the circle is from the edge of the circle. For example, we know that a circle has a middle point and we know that we have a line around it in the shape of a circle. The radius would be the distance from the middle point to the outer line of the circle.
8x(12+7-9)-(4+10) what’s the answer
Equation- 8x(12+7-9)-(4+10)
Answer- 80x−14
Need a some help with explanation. Thank you
Answer:
C. (1, 3)
Step-by-step explanation:
The x-coordinate of a point is the measure of the horizontal distance a point is to the right of the y-axis. When the point is translated 4 units to the left, its x-coordinate is reduced by 4: x ⇒ x-4.
The y-coordinate of a point is the measure of the vertical distance a point is above the x-axis. When the point is translated 2 units up, its y-coordinate is increased by 2: y ⇒ y+2.
__
translated pointsThe translation 4 units left and 2 units up can be summarized by ...
(x, y) ⇒ (x -4, y +2)
Then the translated vertices are ...
Q(1, 3) ⇒ Q'(1 -4, 3 +2) = Q'(-3, 5)
R(5, 1) ⇒ R'(5 -4, 1 +2) = R'(1, 3) . . . . . . . matches choice C
S(3, 5) ⇒ S'(3 -4, 5 +2) = S'(-1, 7)
Of the points listed, the point (1, 3) matches a translated vertex.
can someone help with this question?
Answer:
c=5.50b
Step-by-step explanation:
Answer:
5.50 x b = c or 5.50b = c
Step-by-step explanation:
5.50 is the base amount, with B amount of necklaces.
Also please refrain from cheating on the CAT test.. especially in 6th grade.
A line plot with Kelly's lengths of ribbons is shown
What is the total length, in inches, for all pieces of ribbon?
Answer: (I changed it back to fraction form instead of decimal because it seems that is how you are doing it)
Two possible lengths of ribbon (In inches) are 25 and 133 3/4
Step-by-step explanation
Okay, so- First, You need to find out how much ribbon is there before the two additional ones are added. Like this:
12 + 14 2/4 + 14 3/4 = 41 1/4
Next, subtract that amount from 200 to get the number of inches of ribbon that are needed to get 200 inches of ribbon. Like this:
(I changed it to a decimal to make it easier, so don't mind that)
200 - 41.25 = 158.75
So, 158.75 inches of ribbon are needed to get 200 inches. You can subtract any number less than 158.75 from that to get two seperate ribbon measurements.
(This might sound confusing so here)
For example:
158.75 - 25 = 133.75 (The bolded numbers are the two measurements)
158.75 - 65 = 93.75
So, Two possible lengths (in inches) of ribbon that kelly could have added are "25" and "133.75 "
Two possible lengths (in inches) of ribbon that kelly could have added are also "65" and "93.75"
Hope this helps! Please tell me if you have any questions!
which unit would be best to measure a wheal
Inches i believe. This of course depends on the size of the wheel, but if its a wheel on a care it would be inches.
8) An extremely handsome math teacher is on African
Safari and sees a hungry lion that just spotted a zebra
headed towards a river. He knows that the lion's top
speed is about 45 feet per second and the zebra's about
40 feet per second. It looks like the Zebra is about 200
feet from the river and the Lion is about 220 feet from the
river.
Complete the table to represent each animals distance
a) Is it good news for the zebra?
b) Write an equation to describe the lion's situation.
c) Write an equation to describe the zebra's situation.
bro i will give you 50 pts
Answer:
One less zebra
Step-by-step explanation:
T z l
0 200 220
1 160 175 (subtract 40 from 200 and 45 from 220)
2 120 130
3 80 85
4 40 = 40 <===== lion has zebra lunch before the river is reached
Zdistance = 200 - 40s
Ldistance = 220 - 45 s where 's' is seconds
1 is greater than w, and -5 is less than w
Answer:
Step-by-step explanation:
W can = 0, -1, -2, -3, and -4.
Answer:
W = 0, -1, -2, -3, -4
Step-by-step explanation:
W can not be 1 because it says 1 is greater than w
W can not be -5 because it says -5 is less than w
W can be 0, -1, -2, -3, and -4 because they fit what your question is.
Hope this helps!
Find the missing angles.
Answer:
1: 81 is the overall angle, so to find the 2nd angle that makes up the overall angle, just subtract the 1st angle from the overall angle. it would be 81 - 44 = 37. so your answer is 37°.
2: this one is solved the same as number 1, just different numbers. it would be 98 - 59 = 39. your answer is 39°.
3. we know this is angle is a right angle because of the square indicating it. a right angle is 90°, so we would take 90 - 63 = 27. so your answer is 27°.
5. A baseball card sold for $241 in 1975 and was sold again in 1988 for $405. Assume that the growth in the value V of the collector's item was exponential.
The exponential growth rate of the baseball card given its price in 1975 and 1988 is 4.07%.
What is the exponential growth rate?The exponential growth rate is the rate of increase in the value of an asset with the passage of time.
Exponential equations have the form a[tex]b^{x}[/tex]
Growth rate = (future value / present value)^(1 / number of years)
(405 / 241)^(1/13) = 4.07%
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help pls pls pls pls pls pls
Answer:
63
Step-by-step explanation:
(1/2) · b · h
(1/2) * 14 * 9 = 63
Answer: 63 in²
Step-by-step explanation:
The problem gives us the formula to use. We will simplify plug in the correct values and solve.
b = base
h = height
[tex]\displaystyle \frac{b*h}{2}[/tex]
[tex]\displaystyle \frac{14*9}{2}[/tex]
[tex]\displaystyle \frac{126}{2}[/tex]
63
63 square inches
WILL GIVE 50 POINTS
a rectangular solid is shown which has a volume of 384 cubic inches. what is the area of the base? explain how you know.
Answer:
The surface area of a cube is 6s2 where s is the length of an edge. If 6s2 = 384, then we can solve this to fund that s = 8.
Step-by-step explanation:
One year, the population of a city was 120,000. several years later it was 133,200. find the percent increase.
Answer:
11%
Step-by-step explanation:
old population- 120,000
new population- 133,200
increase - 133200-120000
=13200
percentage increase:
(13200*100)/120000
=11%
What is the area of the equilateral triangle, rounded to the nearest tenth? 2.7 cm2 4.1 cm2 16.2 cm2 24.2 cm2
The area of the equilateral triangle with the given perimeter is 24.2cm².
Hence, option D)24.2cm² is the correct answer.
This question is incomplete, the complete question is:
An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm. What is the area of the equilateral triangle, rounded to the nearest tenth?
What is a triangle?A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.
An equilateral triangle is a triangle with all its three sides having the same length
The area of an equilateral triangle is expressed as;
A = ((√3)/4)a²
Where a is the length of the side
Perimeter of an equilateral triangle is expressed as;
P = 3a
Where a is the length of the side
Given that the perimeter of the equilateral triangle is 22.45 cm, the sides of the triangle will be;
P = 3a
22.45cm = 3a
a = 22.45cm / 3
a = 7.48cm
Now, the area of the equilateral triangle will be;
A = ((√3)/4)a²
A = ((√3)/4) × (7.48cm)²
A = 0.433 × 55.9504cm²
A = 24.2cm²
The area of the equilateral triangle with the given perimeter is 24.2cm².
Hence, option D)24.2cm² is the correct answer.
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NEED HELP ASAP, 50 POINTS PLEASE ANSWER CORRECTLY Question 17 (5 points) The 2 above regular hexagons are similar. (see figures) The smaller hexagon was increased by a factor of 5:7. What is the perimeter of the larger hexagon? Number only. Do not label
The perimeter of the larger hexagon, where the smaller hexagon is increased by a factor of 5:7 is: 84 units.
What is the Perimeter of Similar Shapes?If two shapes are similar, the ratio of their perimeter equals the ratio of their respective sides.
Since the smaller hexagon is increased by a factor of 5:7, therefore:
Length of the larger hexagon = 7/5 × 10 = 14 units.
Perimeter of the larger hexagon = 6(14) = 84 units.
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You work 40 hours/week for 50 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?
•
A. $30,000/year
B. $15.00/hour
C. $30,000/year with a 10% bonus
D. $15.00/hour and a $2,000 bonus at the end of the year
The answer is:
$30,000/year with a 10% bonus
Due this is slope interest
Answer:
Eric earns around 7 dollars an hour
Step-by-step explanation:
use points given by the graph at 1 hour he earns around 7 dollars, at 2 hours he earns around 14
the slope is your income per hours so using rise over run we get 7/1 and 14/2 both give you your answer of 7 dollars an hour
Juan manages a restaurant which is currently hiring. On Tuesday he interviewed 3 waiters, 2 chefs, and 4 dishwashers. On Wednesday he interviewed 4 waiters, 4 chefs, and 4 dishwashers. Each day one woman applied for a job while the rest were men. What is the probability that the woman shared the same profession?
Probability helps us to know the chances of an event occurring. The probability that the woman shared the same profession is 0.334.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability of both being a waiter is,
P(Both Waiter) = (3/9)×(4/12) = 1/9
The probability of both being chefs,
P(Both Chef) = (2/9)×(4/12) = 2/27
The probability of both being a Dishwashers,
P(Both Dishwasher) = (4/9)×(4/12) = 4/27
Thus, the probability that the woman shared the same profession is,
Probability = P(Both Waiter) + P(Both Chef) + P(Both Dishwasher) = 0.33
Hence, the probability that the woman shared the same profession is 0.334.
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describe the transformation(s) that take place on the parent function, fx) = log(x), to
achieve the graph of g(x) = log(-2x-4) + 2?
Answer:
1. Right 4 units
2. Up 2 units
3. Horizontal Shrink by 2
4. Reflection across y-axis
