Answer:
10/19
Step-by-step explanation:
Answer:
-19/10
Step-by-step explanation:
10x= - 19
divide 10 by each side to get -1.9
convert -1.9 to a fraction -1u9/10
then convert it to an improper fraction -19/10
hope this helps;)
10. Separate the number 38 into two parts so
that one number is 6 less than the other
number
Answer:
16, 22
Step-by-step explanation:
x+x+6=38
2x+6=38
2x=32
x=16
One number is 16, Another number is 22
16+22=38
22-16=6
if you dog a 6ft hole...how deep is that hole??
-Beetlejuice
Answer:
im confused lol
Step-by-step explanation:
Answer:
6ft
Step-by-step explanation:
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.
the meal cost 54.65 the sales tax is 8% of the meal the tip was 18% of the meal and tax there are 5 people in the holcombe family what was the cost per person for the meal
Answer:
Step-by-step explanation:
total meal cost = meal cost + tax cost + tip cost
[tex]\frac{8}{100} *54.65 = cost of sales tax\\\frac{18}{100} * 54.65 = tip cost\\cost of sales tax = .08 * 54.65 = 4.372\\tip cost = .18 * 54.65 = 9.837\\\\total cost = 54.65 + 4.372 + 9.837 = 68.859\\\\since we have 5 members\\\\individual cost = total cost / 5\\=68.859/5\\=13.7718[/tex]
The answer is 10.93
Step by step explanation
write a real world problem that can be solved using the distributive property
Answer:
10 + 2. 3(10 + 2) = ? something like that I think .
Step-by-step explanation:
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:
Which table represents a function?
Answer:
The table that starts with (-3, -1)
Step-by-step explanation:
For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it
Answer: the first box
-3 -1
0 0
-2 -1
8 1
Step-by-step explanation: the x value can not repet it self but the y value can
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
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
Krego earns $2,456.75 every month. He also earns an extra $4.75 every time he sells a new gym membership. Last month, Krego sold 32 new gym memberships. How much money did Krego earn last month? Round to the nearest penny when necessary.
Answer:
$2600.75Step-by-step explanation:
let us first model the total amount he makes
say the number of sales made us x
let the total made be y
y=2456.75+4.5x
given that the amount of sales is 32
let us put x=32 in the expression to get the total amount
y=2456.75+4.5(32)
y=2456.75+144
y=2600.75
therefore if he sale 32 new gym membership he will make $2600.75
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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Denise buys a $100,000 condo using a $20,000
down payment on a 30-year fixed-rate loan.
After 5 years of payments, she's made
approximately $24,000 in payments and still
owes approximately $75,000. How much
equity does Denise have in her house? *
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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Plz help with this question
Answer:
A
Step-by-step explanation:
Given
6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )
3x + 24 ≥ 9 ( subtract 24 from both sides )
3x ≥ - 15 ( divide both sides by 3 )
x ≥ - 5 → A
Answer:
A
Step-by-step explanation:
First, divide both sides by 6:
6(x/2 + 4) ≥ 9
x/2 + 4 ≥ 9/6
x/2 + 4 ≥ 3/2
Now, subtract 4 from both sides:
x/2 ≥ 3/2 - 4
x/2 ≥ -5/2
Finally multiply both sides by 2:
x ≥ (-5/2) * 2
x ≥ -5
The answer is thus A.
~ an aesthetics lover
Noah walks to school from home by going 7 blocks north, to a post office, and then 24 blocks east. Noah's home, point H, is at (0,0); the post office, point P, is at (0,7); and the school, point S, is at (24,7). If Noah then walks home using the direct path, what would be the total distance Noah traveled to school and back home?
Answer:
25
Step-by-step explanation:
The total distance Noah traveled to school and back home will be Noah's displacement. Displacement of Noah can be gotten using Pythagoras theorem.
d² = y²+x²
Direction through north (along y-axis)
Direction through east (along x-axis)
Given
y = 7units
x = 24units
Substitute
d² = 24²+7²
d² = 576+49
d² = 625
d = √625
d = 25 units
Hence the total distance Noah traveled to school and back home is 25blocks from post office
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
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.
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]
Determine which postulate or theorem can be used to prove that
AABC= ADCB.
A. SSS
B. ASA
C. SAS
D. AAS
Answer:
[tex]\triangle ABC \cong \triangle DCB[/tex] by AAS
Step-by-step explanation:
According to the following two triangles, [tex]\triangle ABC[/tex] and [tex]\triangle DCB[/tex] are congruent by Angle-Angle-Side (AAS), because there are two angles shown and share a side, which is in the middle between triangles.
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)
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! :))
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).
i need help plz help me
Answer:
3000g
hope this helps
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 .
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)
solve for substitution
x-2y+z=-11
3x+2y-z=7
-x+2y+4z=-9
Answer:
Unit rate miles per day is, 3
Step-by-step explanation:
Unit rate are defined as the rate are expressed as quantity of 1 such that 2 miles per hour or 5 km per hour.
As per the given statement: A construction crew built 1/2 miles of road in 1/6 days
by unit rate definition;
After substituting the given values we have
⇒
or
Therefore, unit rate miles per day is, 3
Step-by-step explanation:
hhhthhg
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
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:
I WILL GIVE BRAINLIEST! Rectangle A is a rectangle with area 24. Rectangle B is a scaled copy of Rectangle A with a scale factor of 2. What is the area of Rectangle B?
Answer:
12
Step-by-step explanation:
24/2=12
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