Answer:
a)b=4
b)x=-9
c)r=6
Step-by-step explanation:
Question 2.
a)5b+6=26
5b=26-6
5b=20
b=4
b)6-x=15
-x=15-6
-x=9
x=-9
c)r/2+2=5
r/2=5-2
r/2=3
Multiply both sides by 2 to remain with r
r/2×2=3×2
r=6.
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What is the equation in standard form of
the line that passes through the points
(3, 5) and (-7, 2)?
Answer:
3x-10y=-41
Step-by-step explanation:
"standard form of the line" is ax+by=c, where a, b, and c are free coefficients
first, we need to find the slope (m) of the line
that is calculated with the formula (y2-y1)/(x2-x1)
we have the points (3,5) and (-7,2)
label the points:
x1=3
y1=5
x2=-7
y2=2
substitute into the equation
m=(2-5)/(-7-3)
m=-3/-10
m=3/10
the slope is 3/10
before we put a line into standard form, we need to put it into another form first-- like slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
we already know the slope
here's our line so far:
y=3/10x+b
we need to find b; since the line will pass through the points (3,5) and (-7,2) we can use either one of them to find b
let's use (3,5) as an example. Substitute into the equation
5=3/10(3)+b
5=9/10+b
41/10=b
b is 41/10
this is the equation:
y=3/10x+41/10
now we can find the equation in standard form. Subtract 3/10x from both sides
-3/10x+y=41/10
a (the number in front of x cannot be negative OR less than one. First, let's multiply both sides by -1)
3/10x-y=-41/10
multiply both sides by 10 to clear the fraction
3x-10y=-41
^^ is the equation
hope this helps!
HELP!!!! If point P(-6,4) is translated 3 units right and 2 units down, what are the coordinates of P''?
Answer:
P" is then (-3, 2).
Step-by-step explanation:
If the point P(-6, 4) is translated 3 units to the right, the x-coordinate increases by 3 from -6 to -3 and the y-coordinate decreases 2 units from 4 to 2.
P" is then (-3, 2).
Answer:
Answer:
P" is then (-3, 2).
Step-by-step explanation:
An airplane is flying in a direction of 75° north of east at a constant flight speed of 300 miles per hour. The wind is blowing due west at a speed of 25 miles per hour. What is the actual direction of the airplane? Round your answer to the nearest tenth. Show your work. PLS PLS PLSPLS HELP URGANT
Answer:
79.7°
Step-by-step explanation:
We resolve the speed of the plane into horizontal and vertical components respectively as 300cos75° and 300sin75° respectively. Since the wind blows due west at a speed of 25 miles per hour, its direction is horizontal and is given by 25cos180° = -25 mph. We now add both horizontal components to get the resultant horizontal component of the airplane's speed.
So 300cos75° mph + (-25 mph) = 77.646 - 25 = 52.646 mph.
The vertical component of its speed is 300sin75° since that's the only horizontal motion of the airplane. So the resultant vertical component of the airplane's speed is 300sin75° = 289.778 mph
The direction of the plane, Ф = tan⁻¹(vertical component of speed/horizontal component of speed)
Ф = tan⁻¹(289.778 mph/52.646 mph)
Ф = tan⁻¹(5.5043)
Ф = 79.7°
Zc and Zx are supplementary angles. Zy measures 49º.
What is the measure of Zx?
Answer:
Zx = 131
Step-by-step explanation:
The angles will equal to 180, so therefore you will do 180-49=Zx
which side is opposite the middle size angle give the letter name
Answer:
opposite of 55 degrees would be KL
opposite of 97 degrees would be ML
opposite of 28 degrees would be MK
Step-by-step explanation:
mark me brainliest if right!!!
Describe this sampling method: "Survey the first 40 students who enter the main
office".
Answer:
Convenience sampling
Step-by-step explanation:
From the question, we understand that 40 of all students are to be surveyed. This implies that from the 41st till the last student will not be a part of the survey.
When sampling is done, taking a part of the whole population that is near or readily available; such sampling is referred to as convenience sampling.
The whole population, in this case are all students while the convenience being selected are the first 40 students.
ANSWER ASAP PLEASE!
Diana & Henry are choosing candy toppings for their ice cream. Diana
will randomly choose a candy topping and Henry will also randomly
choose a candy topping. The candy topping choices are Butterfinger,
Snickers, MilkyWays, Crunch Bar, Starburst, and Skittles. What is the
probability that Diana and Henry will both choose Butterfinger?
a. 1/30
b. 1/36
c. 1/12
d. 1/6
Answer:d
Step-by-step explanation: there are 6 candys and only one is butterfinger therefore it would be 1/6
Answer:
answer should be 1/36
option (b)
good day mate
explanation : the sample space is 36 and butterfinger comes only once to both of them.
Ma Bernier has 52 cats and dogs in her house the number of cats is three times the number of dogs how many cats and dogs are in the house
Answer:
dogs - 13
cats - 39
Step-by-step explanation:
Let the number of dogs Ma Bernier have be represented with d
She has 3 times as many cats as dogs, the number of cats she has :
cats = 3d
The sum of the cats and dogs is 52
d + 3d = 52
4d = 52
divide both sides of the equation by 4
d = 13
She has 13 dogs
Cats = 3d
= 3 x 13 = 39
1. Lukas deposited $3000 into a
savings account that earns
3.7% interest compounded
annually. What is the total
value of the account after 5
years?
Plzz help it do today
Answer:
i think it is A CiNiyah
Step-by-step explanation:
Mrs. Habib has 46.25 feet of border for a bulletin board for her classroom. the board is 37.5 feet tall and 8.3 feet wide. how many feet of border will Mrs habib have left after she puts border around the board?
It’s not 22.15 I’ve tried.
Answer:
Mrs. Habib will have 22.25 feet of border left after she puts border around the board.
Step-by-step explanation:
You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is [tex]P=2(l+w)[/tex], where [tex]l=[/tex] the length of the board, and [tex]w=[/tex] the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:
[tex]P=2(8.25+3.75)[/tex]
Now you can just solve for the perimeter.
[tex]P=2(12)[/tex]
[tex]P=24[/tex]
The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.
[tex]46.25-24=22.25[/tex]
Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.
Evaluate.Evaluate.
8−2⋅3+7
Step-by-step explanation:
6×10
=60
niceeeeeeeeeeee
3 (x + 1 ) = 33 solve for x
Answer:
x=10
Step-by-step explanation:
x+1=11
Answer:
X-10
Step-by-step explanation:
3(x+1)=33
3x+3=33
3x+3-3=33-3
3x=30
x=10
which inequality represents the sentence below?
two more thwn a numbre is less than 14
Answer:
the answer is B
I hope it helps have a great day
Answer:
2 + n < 14
Step-by-step explanation:
Hey!
==================================================================
Let's work this word by word.
"Two more than a number is less than 14"
--------------------------------------------------------------------------------------------------------------
"Two more than"
⇒ 2 +
"A number"
⇒ 2 + n
"Is less than"
⇒2 + n <
"14"
⇒2 + n < 14
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
What is move-in costs and what might be included in move-in costs?
Answer:
A move in cost is a non-refundable fee that landlords charge new tenants to cover the cost of touch ups and small changes made to the rental
You would like to lease a car worth $36,601 for a three-year period. The leasing company told you that after three years, the car would have a residual value of $15,818. How much of the car’s original value will you have to pay off during your three-year lease?
Answer:
$20,783
Step-by-step explanation:
The original value of the car is given as $36,601.
Now, the residual value of the car after a 3 - year lease is given as $15,818.
Residual value is the amount that the person leasing this car can purchase it after the 3 years lease is expired.
Formula for his residual value is usually;
Residual value = original value - depreciation value
Where depreciation value is the amount of the cars original value the Person getting the vehicle on lease for 3 years would pay to cover that period.
Thus;
Depreciation value = 36601 - 15818 = $20783
if square root of x = -7 does x= -49
Answer:
x does not equal - 49.
x = 49
Step-by-step explanation:
To find the square you multiply the square root.
- 7 × - 7 = 49
x ≠ - 49
x = 49
PLS HELP ILL MARK AS MY BRAINLESS
Answer:
They a similar because they both had zero as their final answer. Andre decided to do 3 x 200 while Jada decided to do 3 x 50. Andre work is more complicated and uses big number while Jada's work uses small numbers and are more easier to do.
Step-by-step explanation:
List the factor pairs of ac for the trinomial 12x^2-5x-2.
Answer:
(3x - 2) (4x + 1)
Step-by-step explanation:
12x² - 5x - 2
Since the first term has a coefficient, you need to multiply -2 with 12 to get -24.
Two factors that add up to -5 and have a product of -24 are -8 and 3.
12x² - 8x + 3x - 2
Rearrange the expression to find the GCF.
12x² + 3x - 8x - 2
3x (4x + 1) + (-1)2(-4x -1)
3x (4x + 1) - 2 (4x + 1)
(3x - 2) (4x + 1)
Is PXY PXZ? Choose...
Answer:
i just did this one it is YES
Step-by-step explanation:
A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 40 feet, the height of the roof is 10 feet, and the height of the entire silo is 75 feet?
a. 393,746.3 ft
b. 343,480.8 ft
c. 326,725.6 ft
d. 376,991.1 ft
Answer:
The answer is b. 343,480.8ft
Step-by-step explanation:
I thought it was c at first because I forgot to add the volume of the cone.
The equation for the volume of a cylinder is V=π×r²×h
The solution would look like V=π40²×65=326725.8
The equation for the volume of a cone is V=1/3πr²×h
The solution would look like V=1/3π×40²×10=16755
Adding the two volumes would equal 326725.8±16755= 343480.8
what equation passes through (6,3) and is parrallel to y=3x+5
Answer:
y=3x+25
Step-by-step explanation:
For the equation y=3x+5, the slope is 3. Since the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-13)=3(x--4)
y-13=3x+12
y=3x+25
Eleven increased by three times a number equals 68) Write an equation for this situation and then find the
number
Answer:
11+3x=68
x=19
Step-by-step explanation:
11+3x=68 is your equation.
subtract 11 from both side to get 3x alone
3x=68-11
3x=57
divide 3 from both sides to get x alone
x=57/3
x=19
19 is your number.
3. Your friend shows you a scale drawing of her apart-
ment. The drawing of the apartment is a rectangle
4 inches by 6 inches. Your friend wants to know the
length of the shorter side of the apartment. If she
knows that the length of the longer side of the apart-
ment is 30 feet, how many feet long is the shorter side
of her apartment?
Answer:
The answer is 20 feet
Step-by-step explanation:
We know that her apartment sketch is 6 by 4 inches.
If the 6 inch side is actually 30 feet and 6 goes into 30 5 times, we should multiply 4 by 5 to get proportionate answers.
Therefore her apartment is 20*30 feet
Hope this helps
Not a question but need help. Check out the image.
Answer:
well you need to have your friends personal email then login to you email and press new message once your logged in put in you friends email and you are all set
Step-by-step explanation:
What is the length of Line segment A C? Round to the nearest tenth. 3.0 cm. 9.8 cm. 10.5 cm. 12.8 cm.
Answer:
10.5 cm
Step-by-step explanation:
A line segment is defined as a part of a line. It is a straight line having two end points. The only difference between a line and line segment is that a line is continuous with indefinite length whereas a line segment has a definite length to it between the two points.
In the figure, the length of the line segment is 10.5 cm (rounded to the nearest tenth).
Answer:
10.5
Step-by-step explanation:
A number is multiplied by 6 and the result is 48. Find the number.
Answer:
the answer is 8
Step-by-step explanation:
8x6=48
Answer:
8
Step-by-step explanation:
its 8 because the multiples of 6 are 6, 12, 18, 24, 30, 36, 48 then the multiples of 8 are 8, 16, 24, 32, 40, 48
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step
— 5х + бу = 41
7x - 6y = -43
Answer:
6y-6y, cancel it out to find x first.
-5x+6y=41
7x-6y=-43
2x=-2
Step-by-step explanation:
i hope this helps :)
Answer:
Step-by-step explanation:
The first step is to add the 2 equations This will eliminate the y terms
( + 6y + -6y = 0).
So you are then left with 2x = -2
can someone help me please?? my teacher gave me a worksheet of a game with no rules or nun nd expected me to know how to play, she is ignoring me. ion know what to do. what do i do??