Answer:
7/8 (simplified)
Step-by-step explanation:
Answer:
-7/8
Step-by-step explanation:
-7/9*9/8
Simplify
-7/1*1/8=
-7/8
2x + 3 = 5x - 2
4x + 1 = 10x + 3
5x - 5 = 2x + 10
4(x + 5) – 10 = 2
2x + 3 – 4x = x + 6
3(x +5) – 2 = 22
Answer:
x3r9
Step-by-step explanation:
Write the equation in slope-intercept form of a line that is parallel to y= -8x - 2 and goes through the point (-1, 11)
Answer:
y=-8x+3
Step-by-step explanation:
Slope-intercept form means
[tex]y=mx+c[/tex]
To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.
Since the line is parallel to [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,
[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]
so, the equation becomes,
[tex]y=-8x+3[/tex]
Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle?
Answer:
5 weeks
Step-by-step explanation:
She would need to work at least 8 weeks because the bicycle is $80 and she has $35.
Answer:
5 weeks
Step-by-step explanation:
i took 80 - 35 to get 45 (money she still needs)
then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)
and if you get 10 dollars per week and its asking how many weeks
you have to up the 4 by one because it has a .5
so it would be 5 weeks
A sample of 100 mg of cobalt is studied over time. After 1 year, the sample was measured at 97.5 mg. If the size of the sample continues to change at the same rate, which equation models the change?
Answer: B
Step-by-step explanation: The answer is B
Answer:
B
Step-by-step explanation:
A bird leaves it's nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours. A. What is the distance of the entire trip? ___ Miles B. How long does the entire trip take? __hours ___minutes and ___ seconds
Answer:
Step-by-step explanation:
Distance = Speed * time
If a bird leaves it's nest and travels 15 miles per hour downwind for x hours, the distance covered will be:
D = 15x
x = D/15 ....... 1
If on the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours
Her speed = 15 - 3 = 12mi/hour
If she has 2 miles left after x hours, new distance will be D-2, using the formula for distance:
D+2 = 12x
x = D-2/12 ....... 2
Equate 1 and 2:
D/15 = D-2/12
Cross multiply
12D = 15(D-2)
12D = 15D - 30
12D-15D = -30
-3D = -30
D = 10 miles
The distance for the entire trip will be D + (D-2) = 10 + (10-2)
= 10 + 8
= 18 miles
To get the time x, we will substitute D = 10 into equation1
D = 15x
10 = 15x
x = 10/15
To minutes
x = 10/15 * 60
x = 40 minutes
For the going trip
Time taken = x hours
Return trip = x hours
Total time for the entire trip = x+x = 2x
= 2(40)
= 80 minutes
Hence the total time taken for the entire trio will be 1 hour 20minutes
Given the point (1, 2) and a slope of 4, write the equation in point slope form.
Answer:
y - 2 = 4(x - 1)
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1), where m is the slope:
Plug in the slope and the given point:
y - y1 = m(x - x1)
y - 2 = 4(x - 1)
So, the equation in point slope form is y - 2 = 4(x - 1)
Suppose SAT Writing score are normally distributed a mean of 497 and a standard deviation of 114. A university plans to admit students whose scores are in the top 30% . What is the minimum score required for admission? Round your answer to the nearest whole number.
Answer:
The minimum score required for admission to the nearest whole number = 557
Step-by-step explanation:
We solve this using z score formula.
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 30% of the candidates is a ranking that is equivalent to = 100 - 30% = 70th percentile.
The z score of 70th percentile = 0.524
Mean = 497
Standard deviation of 114.
Minimum score = raw score = ???
Hence:
0.524 = x - 497/114
Cross Multiply
0.524 × 114 = x - 497
59.736 = x - 497
x = 59.736 + 497
x = 556.736
The minimum score required for admission to the nearest whole number = 557
The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.
How many times bigger is Neptune than Earth?
Give your answer in standard form to the nearest whole number.
State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24
Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]
sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]
c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle
Answer:
The answer is 2 triangles
Step-by-step explanation:
I took the test.
Pls help me ASAP PLS PLS PLS PLS PLS PLS ASAP
Answer:
The domain is the input value of x, which can be any real number.
There is no inequality.
Set notation x | E R. ( all real nUmbers)
Interval. Oration (-infinity, infinity)
Range: set x to 0 and solve:
3(0)^2 + 2 = 2
The lowest value is 2 and goes to infinity.
Inequality is >=
Set notation Y | >= 2
Interval notation : [2, infinity)
End behavior they both go to infinity .
Find the value of x.
Answer:
sdf
Step-by-step explanation:
sdff
For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:
132 + 4 + x = 180
Add 132 and 4.
136 + x = 180
Subtract 136.
x = 44
You are right!
For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:
68 + x + 9 = 90
Combine 68 and 9.
77 + x = 90
Subtract 77.
x = 13
Hope this helps
what is the answer if u do x=25(x+4)
Answer:
-25 over 6 as a fraction or -4 and 1 over 6 as simplified fraction or 4.16 as a decimal
Step-by-step explanation:
hopefully that helps you
Quien quiere ser mi amigo o amiga? Manden soli si quieren XD
si me gustaria ser tu amiga :)
What's the value of
z? - 3x + 1
when x = -2 and y = 42
Answer: 11
Step-by-step explanation:
Based on te question in the picture (which is different from what you wrote)
x^2 - 3x + 1
-2^2 - 3(-2) + 1
4 + 6 + 1 = 11
Which is a incorrect rounding of 53.864?
A) 54
B) 53.9
C) 53.87
D) 50
The solution is Option C.
The incorrect rounding of the number 53.864 is 53.87
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Non-zero digits are always significant
Zeros between non-zero digits are always significant
Leading zeros are never significant
Trailing zeros are only significant if the number contains a decimal point
Given data ,
Let the number be represented as A
Now , the value of A is
A = 53.864
Now , on rounding the number A to the nearest , we get
Step 1 :
If we round the number to the nearest integer, the number is 54
Step 2 :
If we round the number to the nearest tenth, the number is 53.9
Step 3 :
If we round the number to the nearest hundredth, the number is 53.86
So , the number 53.87 is not true
Step 4 :
If we round to the nearest tens, the number is 50
Hence , the only incorrect rounding is 53.87
To learn more about rounding up of numbers click :
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pls help ASAP i got only 5 minuts left
Question Progress
Homework Progr
16
0
Work out
5-2x 38
Give your answer as a decimal.
Evaluate the expression for x=5, y=-3 and z=7 *
7 – 3y – 3z
Answer:
-5
Step-by-step explanation:
i tried my best but this is the result
Answer and I will give you brainliest.
A cat can travel a distance of 32.5 meters in 13 seconds. What is the average speed of the cat to the nearest hundredth of a m/s? *
A 2.5 mph
B 0.4 mph
C 2.5 m/s
D 0.4 m/s
Answer:
D: 0.4 m/s
Step-by-step explanation:
32.5 in 13 sec
32.5/32.5=1
so
13/32.5 would be the answer
1 meter in 0.4
Answer:
C
Divide 32.5 with 13, because m/s means meters divide by seconds
im not sure tho
Find the slope of the table
Answer:
The slope should be -5/8
Step-by-step explanation:
The equation used to find the slope using a table is:
[tex]\frac{y2-y1}{x2-x1}[/tex]
To get the values, take two points from the table. For example:
(8, -5) and (16, -10)
Write and classify them as (x1, y1) and (x2, y2). Knowing that these values equal the numbers, put the numbers in the equation above, and you should find the slope.
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what rate has Ashley ridden her horse in rounds per hour?
Answer:
40
Step-by-step explanation:
What is the y-intercept if the line?
A. 0
B. -2
C. 1
D. 1/2
Answer:
A.
Step-by-step explanation:
The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. ... A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4).
1. ROTATE THE TRIANGLE A(3, 2) B(5,2)C(4,4) 90 DEGREES ABOUT POINT (-4, 2)
(20 Points)
A(-4, 9) B(2, 3) C(5,7)
A(3, 1) B(3, 3) C(7.9)
A(-4, 9) B(-4, 11) C(-6, 10)
Answer:
A (-4,9) B (-4,11) C (-6,10)
Last option is correct
Step-by-step explanation:
To rotate the vertices about the given point at 90 degrees, we follow the procedures below;
Mathematically, if we have a point (m,n) and we want to rotate it 90 degrees about a given point (x,y). Then the new transformation point will be;
( -(n-y) + x , (m-x) + y)
Let’s now take the points individually;
(3,2 ) about (-4,2)
This becomes
(-(2-2) + (-4), (3+4) + 2) = (-4 , 9)
The point (5,2) about (-4,2) becomes
(-(2-2) + -4, (5 + 4) + 2 )= (-4, 11)
and lastly
The point (4,4) about (-4,2) becomes
(-(4-2) + (-4), (4 + 4) + 2) = (-6, 10)
Monica is rollerblading along a trail in Tropical Park. She stopped for water after rollerblading for 2.45 miles. She continued on the trail for another 3.04 miles, then stopped for lunch. She made her final stop after rollerblading for another 2.8 miles. How many miles did Monica rollerblade?
Answer:
8.29
Step-by-step explanation:
If you add them all together your answer should be 8.29
Answer:
8.29
Step-by-step explanation:
hope it helps! :))
Which one?
A. B. C. or D?
The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.
Which equation represents g(x)?
Answer:
B
Step-by-step explanation:
Im almost sure it B but if not then its for sure D.
The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
What is translation?Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
The function is given as
[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]
The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.
The rule of translation is:
[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]
So, we have:
[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]
Take LCM
[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]
Next, translate f'(x) 4 units up.
The rule of this translation is:
[tex](x,y)=(x,y+4)[/tex]
So, we have:
[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]
[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]
Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
Find out more information about function and translation here
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What is the slope of a line perpendicular to the line whose equation is
12x – 9y = 135. Fully reduce your answer.
Answer:
The slope is -9/12
Step-by-step explanation:
First find the slope of the given line:
12x - 9y = 135 → -9y = -12x + 135 → y = 12/9 - 15
The perpendicular slope is a slope that is the reciprocal and is the opposite charge of the given slope.
So the answer would be -9/12, which is 12/9 but flipped upside down and is negative.
Solve for x and y, will mark brainliest please help!
Answer: x=37, y=9
Step-by-step explanation:
3x+11+x+21=180
4x+32=180
4x=148
x=37
3(37)+11=14y-4
111+11=14y-4
122=14y-4
14y=126
y=9
y= 2x² + 36x + 170
(Find the vertex, show steps)
Last week, Shelly tode her bike a total of 30 miles over a three-day period.
On the second day, she rode the distance she rode on the first day.
On the third day, she rode the distance she rode on the second day.
rts
How many miles did Shelly ride on each day? Select your answers from the drop-down lists.
On the first day, Shelly rode
miles.
On the second day, Shelly rode
miles.
ols
On the third day, Shelly rode
miles.m
Answer:
Step-by-step explanation:
ON THE FIRST DAY, SHELLY RODE 12 MILES