Answer:
Minute hand moves 6 degrees, hour hand moves .5 degrees.
Step-by-step explanation:
Doing the math we agree that in 1 minute the little hand (hours) will move .5 degrees and the big hand (minutes) will move 6 degrees.
How can i do this equation 8y-(5y+2)=16
Answer:
y=6
Step-by-step explanation:
8y-5y-2=16
8y-5y=16+2
3y=18
y=18/3
y=6
Hey!
------------------------------
Solution:
8y - (5y + 2) = 16
3y - 2 = 16
3y + (-2) + 2 = 16 + 2
3y = 18
3y/3 = 18/3
y = 6
------------------------------
Answer:
y = 6
------------------------------
Hope This Helped! Good Luck!
What value of x is in the solution set of 2(3x - 1) = 4x-6?
-10
-5
-3
-1
Hey!
--------------------------------
Lets try -10:
2(3(-10) - 1) = 4(-10) - 6
2(-30 - 1) = (-40) - 6
2(-31) = (-40) - 6
-62 ≠ -46
Incorrect.
--------------------------------
Lets try -5:
2(3(-5) - 1) = 4(-5) - 6
2(-15 - 1) = (-20) - 6
2(-16) = (-20) - 6
-32 ≠ -26
Incorrect.
--------------------------------
Lets try -3:
2(3(-3) - 1) = 4(-3) - 6
2(-9 - 1) = (-12) - 6
2(-10) = (-12) - 6
-20 ≠ -18
Incorrect.
--------------------------------
Lets try -1:
2(3(-1) - 1) = 4(-1) - 6
2(-3 - 1) = (-4) - 6
2(-4) = (-4) - 6
-8 ≠ -10
Incorrect.
--------------------------------
So all the options are incorrect.
--------------------------------
Lets solve for x:
2(3x - 1) = 4x - 6
(2 * 3x) + (2 * -1) = 4x + (-6)
6x + (-2) = 4x + (-6)
6x - 2 = 4x - 6
6x - 2 - 4x = 4x - 6 - 4x
2x - 2 = -6
2x + 2 - 2 = -6 + 2
2x = -4
2x/2 = -4/2
x = -2
--------------------------------
Hope This Helped! Good Luck!
Answer:
-1 is the answer
Step-by-step explanation:
PI-3.
FIELD TRIP
In order to take a field trip to the science museum. Ms. Speedi's students sold
scented pencils for $1. In the classroom. Rowena tried to put the $1 bills into a
equal piles and found one left over at the end. When Polly tried putting the bin
in 3 equal piles, she also ended up with one extra bill. Frustrated, they tried 4
5, and 6 equal piles and each time had $1 left over. Finally Rowena put all the
bills evenly into 7 equal piles, and none were left over.
Based on this information, Ms. Speedi is sure there is enough money for the
fieldtrip!
a. What is the least amount of money they could have raised? Show how
know.
b.
It turns out that they raised more than $500. Knowing this, what is the least
amount of money they could have raised?
Answer:
A. $301
B. $721
Step-by-step explanation:
Let $x be the amount of money they raised.
Rowena tried to put the $1 bills into two equal piles and found one left over at the end, then
[tex]x=2q_1+1[/tex]
Polly tried to put the $1 bills into three equal piles and found one left over at the end, then
[tex]x=3q_2+1[/tex]
Frustrated, they tried 4, 5, and 6 equal piles and each time had $1 left over, then
[tex]x=4q_3+1\\ \\x=5q_4+1\\ \\x=6q_5+1[/tex]
Finally Rowena put all the bills evenly into 7 equal piles, and none were left over, then
[tex]x=7q_6[/tex]
This means [tex]x-1[/tex] is divisible by 2, 3, 4, 5 and 6 without remainder, so
[tex]x-1=2\cdot 3\cdot 2\cdot 5n=60n[/tex]
Hence,
[tex]x=60n+1, \ n\in N[/tex]
The smallest amount of money they could have raised is $301, because
[tex]x=60\cdot 5+1=301[/tex] is divisible by 7.
Now, the number [tex]x=60n+1[/tex] should be divisible by 7 and must be greater than 500.
So,
[tex]60n+1>500\\ \\60n>499\\ \\n>8[/tex]
When n = 9,
[tex]x=60\cdot 9+1=541[/tex] is not divisible by 7.
When n = 10,
[tex]x=60\cdot 10+1=601[/tex] is not divisible by 7.
When n = 11,
[tex]x=60\cdot 11+1=661[/tex] is not divisible by 7.
When n = 12,
[tex]x=60\cdot 12+1=721[/tex] is divisible by 7.
B. The least amount of money they could have raised is $721
Answer:
A:301 and b: 721
Find the vertex of this parabola:
y = -5x2 - 10x - 15
Enter the correct answer.
Answer:
Vertex of parabola (-1, -10)
Step-by-step explanation:
For a given quadratic y = ax² + bx + c, the vertex (h, k) is found by computing h = –b/2a, and then evaluating y at h to find k. If you've already learned the Quadratic Formula, you may find it easy to memorize the formula for k, since it is related to both the formula for h and the discriminant in the Quadratic Formula: k = (4ac – b2) / 4a.
What is the value of 42 – 2(3 • 5 + 1)?
[tex]4^{2}[/tex] – 2(3 • 5 + 1) = -16
The 2 is a superscript which was the first person's mistake
!. lan wants to promote his band on the Internet. Site A offers website
hosting for $4.95 per month with a $49.95 startup fee. Site B offers
website hosting for $9.95 per month with no startup fee. For how
many months would lan need to keep the website for Site B to be less
expensive than Site A?
Answer:
Ian need to keep the website for site B less than 10 months
Step-by-step explanation:
Let
x -----> the number of months
y ----> the cost for website hosting
we know that
Site A
[tex]y=4.95x+49.95[/tex] -----> equation A
Site B
[tex]y=9.95x[/tex] -----> equation B
Equate equation A and equation B and solve for x
[tex]9.95x=4.95x+49.95[/tex]
[tex]9.95x-4.95x=49.95[/tex]
[tex]5x=49.95[/tex]
[tex]x=9.99\ months[/tex]
Round the number of months
[tex]x=10\ months[/tex]
For x=10 months ----> the cost for website hosting is the same in both sites
For x>10 months ---> the cost for website hosting is less expensive in site A
For x<10 months ---> the cost for website hosting is less expensive in site B
therefore
Ian need to keep the website for site B less than 10 months
When comparing the two hosting sites, Site B becomes cheaper than Site A after around 10 months, if the website is kept active during this period. This calculation is made by setting up an equation for the costs and solving for the number of months.
Explanation:When Ian wants to promote his band on the Internet by creating a website, he needs to make a decision about the cost effectiveness between the two hosting sites. Let's break down the costs for each site:
Site A = $49.95 (startup fee) + $4.95 (per month fee)Site B = $9.95 (per month fee) as there is not a startup fee.To find out when Site B would be cheaper than Site A, we need to set up an equation where the left-hand side is the cost for Site A and the right-hand side is the cost for Site B. The equation would therefore be, $49.95 + $4.95n (with n being the number of months) = $9.95n.
To solve for n, subtract $4.95n from both sides leaving $49.95 = $5n. Dividing $49.95 by $5 gives us n = 9.99, which means after around 10 months, Site B becomes cheaper than Site A provided Ian keeps the site active.
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A question on an exponents and logarithms sheet that I need help with
Good evening ,
______
Answer:
x=2ln2.
___________________
Step-by-step explanation:
Look at the photo below for the details.
:)
Q15:
On Monday, the temperature at 10 a.m. at Sam's house was −6° Fahrenheit. The temperature at 2.p.m at Sam's house 2° Fahrenheit.
Answer:
if your asking for the difference between the temperatures then it would be
8, but if your asking for the sum it would be -4
Hope i helped :)
10 yellow eggs out of 12 colored eggs ratios
Final answer:
The question asks for the ratio of yellow eggs to colored eggs, which is 10 yellow eggs to 12 colored eggs. Simplifying the ratio, we get 5:6. This concept of ratios is also seen in Mendel's genetic experiments with plants, where traits are passed in specific ratios like 3:1.
Explanation:
In mathematical terms, a student's question regarding the ratio of yellow eggs to the total number of colored eggs can be answered using simple division to derive a fraction or ratio. Given that there are 10 yellow eggs out of 12 colored eggs, the ratio can be expressed as 10:12.
However, ratios should be simplified to their smallest form to be more understandable; therefore, this ratio simplifies to 5:6 since both numbers can be divided by 2.
When looking at historical experiments, such as the ones conducted by Mendel, we find that phenotypic ratios play a significant role in understanding genetics. Mendel observed that traits could manifest in a specific ratio, like a 3:1 ratio for dominant to recessive traits. The ratios observed in the experiments provided can serve as examples to understand how ratios represent the occurrence of certain outcomes over others.
In this case, the ratio of yellow to green seeds in Mendel's experiment can serve as an analogy to understand the ratio of yellow eggs: both ratios quantitatively describe the presence of a certain characteristic compared to another.
Use the quadratic formula to find the solution to the quadratic equation given
below.
x^2 - 5x + 25/4 = 0
HELP A BROTHA OUT
Answer:
C. [tex]x=\frac{5}{2}[/tex]
Step-by-step explanation:
The quadratic formula is:
[tex]x_{1,2}=\frac{-b\±\sqrt{b^{2}-4ac}}{2a}[/tex]
Where [tex]a[/tex] is the coefficient of the quadratic team. [tex]b[/tex] is the coefficient of the linear term, and [tex]c[/tex] is the independent term.
So, the given equation is:
[tex]x^2 - 5x + \frac{25}{4} = 0[/tex]
Where:
[tex]a=1\\b=-5\\c=\frac{25}{4}[/tex]
[tex]x_{1,2}=\frac{-(-5)\±\sqrt{(-5)^{2}-4(1)(\frac{25}{4} )}}{2(1)}\\x_{1,2}=\frac{5\±\sqrt{25-25}}{2}\\x_{1,2}=\frac{5\±\sqrt{0}}{2}\\x_{1,2}=\frac{5}{2}[/tex]
This means that the equation has a unique solution.
Therefore, the right answer is C.
$120
for 5 days of work
Help pls 20 points
A. The relationship between time and distance is not directly proportional.
B. The point (3, 165) means the car traveled 3 miles in 165 minutes.
C. The constant of proportionality represents distance/time.
D. The point (0, 0) represents the beginning of the trip.
E. It takes more time to drive 220 miles than to drive 275 miles.
F. The unit rate is 0 miles per hour.
Answer:
a) false
b) false
c) true
d) true
e) false
f) false
Step-by-step explanation:
hope this helps :)
Angles D and F are ______ because they are ______ angles.
Answer:
corresponding
Step-by-step explanation:
Answer:congruent because they are corresponding angles.
Step-by-step explanation:
Question 2
6.5 p
The normal dosage for azinthromycin, an antibiotic, is 3.3 mg/kg. What
is the proper dose for a 150.1 lb patient? (Given: 1kg = 2.2 lbs.)
1089 mg
225.2 mg
20.67 mg
495.1 mg
Answer: b) 225.2 mg
Step-by-step explanation:
Convert 1 kg to 2.2 lbs.
[tex]\dfrac{3.3\ mg}{1\ kg}\times \dfrac{1\ kg}{2.2\ lbs}\times 150.1\ lbs\quad =\dfrac{3.3(150.1)\ mg}{2.2}\quad =\dfrac{495.33\ mg}{2.2}\\\\\\=\large\boxed{225.15\ mg}[/tex]
Suzzane can work 10 math problems in 15 minutes. How many can she word in an hour and a half?
Answer:
[tex]60[/tex]
Step-by-step explanation:
Suzzane can work 10 math problems in 15 minutes. We need to use proportion and raito.
One hour and a half is equal to 90 minutes. But to equal out the math problem, change it to 900.
So:
[tex]\frac{10}{15}[/tex] [tex]= \frac{x}{900}[/tex]
[tex]= 60[/tex]
Ed earns 20$ per hour how much will he earn in a 40 hour work week
Answer:
$800
Step-by-step explanation:
40*20=800
$800
three times the square of the difference of x and 6 is 12
Answer:
Equation: [tex]3(x-6)^2=12[/tex]
Solutions: [tex]x=4\text{ or }x=8[/tex]
Step-by-step explanation:
Unknown variable [tex]= x[/tex]
Difference of x and 6 [tex]= x - 6[/tex]
Square of the difference of x and 6 [tex]=(x-6)^2[/tex]
Three times the square of the difference of x and 6 [tex]=3(x-6)^2[/tex]
Three times the square of the difference of x and 6 is 12, then
[tex]3(x-6)^2=12[/tex]
Divide this equation by 3:
[tex](x-6)^2 =4[/tex]
Now
[tex]x-6=2\text{ or }x-6=-2\\ \\x=2+6\text{ or }x=-2+6\\ \\x=8\text{ or }x=4[/tex]
Answer:
The answer is x=4 or x=8
Step-by-step explanation:
U(-3,6), V(-8, 1), W(-3,1)
180° rotation about the origin
Answer:
U'(3, -6), V'(8, -1), W'(3, -1)
Step-by-step explanation:
According to the 180°-rotation rule, you take the OPPOSITE of both the y-coordinate and x-coordinate:
Extended Rotation Rules
270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)
270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)
180°-rotation >> (x, y) → (-x, -y)
I am joyous to assist you anytime.
Solving equations-variables on both sides!
Simplifying
64 + -12w = 6w
Solving
64 + -12w = 6w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-6w' to each side of the equation.
64 + -12w + -6w = 6w + -6w
Combine like terms: -12w + -6w = -18w
64 + -18w = 6w + -6w
Combine like terms: 6w + -6w = 0
64 + -18w = 0
Add '-64' to each side of the equation.
64 + -64 + -18w = 0 + -64
Combine like terms: 64 + -64 = 0
0 + -18w = 0 + -64
-18w = 0 + -64
Combine like terms: 0 + -64 = -64
-18w = -64
Divide each side by '-18'.
w = 3.555555556
Simplifying
w = 3.555555556
Solve the word problem below.
Jane took out $135 from her checking account. If Jane now has a balance of $650 in her account, how much did Jane have in the account before she took out any money?
($785.00)
Step 1: If x represents the variable in the word problem above, explain what the variable should
represent.
Answer:
x represents Jane's initial amount of money in her bank account.
Step-by-step explanation:
x - 135 = 650
650 + 135 = x
x = 785
8a+ 5 - 10a -11 simplify by combining like terms
Answer:
8a + 5 - 10a - 11 simplified equals -2a - 6
Step-by-step explanation:
1st group like terms: 8a - 10a + 5 - 11
2nd add similar elements: 8a - 10a = -2a,
-2a + 5 - 11
3rd add/subtract the numbers: 5 - 11 = -6
-2a - 6
I am joyous to assist :)
solve the following math problems, round appropriately according to sig. fig. rules. 84.9 • 64
Answer:
84.9*64=5433.6
3900/2.6=1500
1080/15.9=67.9245283019
2.86*8.77*200=5016.44
1500/64=23.4375
6007/5.5=1092.1818....
Step-by-step explanation:
i need the answers for #8-10
Answer:
no .8 9 10 are false statement
Step-by-step explanation:
8.angle 3 and angle 5 are not vertical angles because the two lines do not intersect
9 angle 3 and angle 4 are not complementary angle because their non common arms are two opposite rays.
10.angle 1 and angle 2 are not supplementary angles because their non common arms are not two opposite rays.
The answers for #8-10 involve finding the derivative of a function, solving a system of equations, and finding the slope of a line.
Explanation:For question #8, you need to find the derivative of the given function. This involves using the power rule and the chain rule. For question #9, you are given a system of equations and you need to solve for the values of x and y. This can be done using substitution or elimination. Finally, for question #10, you are asked to find the slope of a line given two points. You can use the formula (y2 - y1) / (x2 - x1) to find the slope.
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Units of Weight
How many kilograms are equivalent to 5 pounds?
1.13 kg
2.25 kg
5.67 kg
11.05 kg
Answer:
B; 2.25
Step-by-step explanation:
Allie has a coupon for $0.85 off two tubes of toothpaste. Each tube of toothpaste costs $1.39. What is the price after Allie uses the coupon?
$2.78
$1.39
$1.93
$0.54
The price after Allie uses the coupon to buy two tubes of toothpaste is $1.93.
Explanation:To find the price after Allie uses the coupon, you first need to calculate the total cost of two tubes of toothpaste without the coupon and then subtract the coupon value. The total cost of two tubes of toothpaste, which is $1.39 times 2. The result is $2.78.
So now, we need Allie's coupon by subtracting the discount, which is $0.85, from the total cost ($2.78 - $0.85).
Therefore, The final cost, or the price after using the coupon, is $1.93.
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The price of two tubes of toothpaste after Allie uses the coupon is $1.93.
To calculate the price of two tubes of toothpaste after Allie uses the coupon, we can use the following steps:
Calculate the price of two tubes of toothpaste without the coupon.
Subtract the value of the coupon from the price of two tubes of toothpaste without the coupon.
Step 1: Calculate the price of two tubes of toothpaste without the coupon.
The price of one tube of toothpaste is $1.39, so the price of two tubes of toothpaste is:
$1.39/tube * 2 tubes = $2.78
Step 2: Subtract the value of the coupon from the price of two tubes of toothpaste without the coupon.
The value of the coupon is $0.85, so the price of two tubes of toothpaste after Allie uses the coupon is
$2.78 - $0.85 = $1.93
Therefore, the price of two tubes of toothpaste after Allie uses the coupon is $1.93.
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It takes 300 gallons of water to produce one pound of
synthetic rubber. How many gallons of water does it
take to produce 8 pounds of synthetic rubber?
Answer: 2400
Step-by-step explanation:
for every pound there is 300 gallons, so
300 x 8 = 2400
Hope this helps!
is 0.27227222722227 a rational or irrational number?
Answer:
irrational
Step-by-step explanation:
How do you round 949,999 to the nearest ten thousand
Answer:
950,000
Take the placement before the placement you need to round and round.
12. Solve the equation y2 = 81.
Hey!
---------------------------------------------------------
Solution:
y² = 81
To solve just take the square root of 81.
√81 = 9
---------------------------------------------------------
Check:
(9)² = 81
81 = 81
---------------------------------------------------------
Answer:
x = 9
---------------------------------------------------------
Hope This Helped! Good Luck!
CECE HIKING ON A MOUNTAIN AND STOPS AT 15 5/8 FEET ABOVE SEA LEVEL .THE BASE OF THE MOUNTAIN IS 10.2 FEET BELOW SEA LEVEL .WHAT IS THE VERTICAL DISTANCE BETWEEN CECE AND THE BASE OF THE MOUNTAIN?
Answer:
The vertical distance is 25.825 ft
Step-by-step explanation:
we know that
To find out the vertical distance between Cece and the base of the mountain, subtract the height of the base of the mountain from the height of Cece
Let
x -----> the height of Cece
y ----> the height of the base of the mountain
we have
[tex]x=15\frac{5}{8}\ ft[/tex] ----> is positive because is above sea level
convert to an improper fraction
[tex]x=15\frac{5}{8}\ ft=\frac{15*8+5}{8}=\frac{125}{8}=15.625\ ft[/tex]
[tex]y=-10.2\ ft[/tex] -----> is negative because is below sea level
so
[tex]x-y=15.625-(-10.2)=15.625+10.2=25.825\ ft[/tex]
Remember that -1*(-1)=+1