Answer:
3.33 meters per second
Step-by-step explanation:
1 1/2 laps = 200+100 = 300
use formula: distance = rate x time
t = time (in meter per second)
300 = 90t
t = 300/90 which reduces to 3.33/1
10. What is 7 less than the square root of 64?
Answer:
1
Step-by-step explanation:
the square root of 64
√64 = 8
8 - 7 = 1
The cost of a piece of ribbon is directly proportional to the length of the ribbon. The cost of 8 yards of ribbon (without tax) is $5.60. The sales tax rate is 6.35%. What does it cost for 10 yards of ribbon, including tax?
Answer: $7.44
Step-by-step explanation:
The cost of a piece of ribbon is directly proportional to the length of the ribbon.
A yard is therefore:
= 5.60/8
= $0.70
10 yards will cost:
= 0.70 * 10
= $7.00
Including sales tax:
= 7.00 * (1 + 6.35%)
= $7.44
Find the value of each variable.
Answer:
a = 20
b = 30
Step-by-step explanation:
1) Solving for a
From the diagram above, KL + ML = An arc
Hence, we add them up
110° + 130° = 240°
1/2 of 240° = 120°
Solving for a°
180° = 120° + 3a (sum of opposite angles in a cyclic quadrilateral)
180° - 120° = 3a
60° = 3a
a = 60/3
a = 20
2) Solving for b
The sum of the exterior angles of a circle = 360°
Hence:
360° = KL + ML + JM + JK
KL = 110°
ML = 130°
JM = 54°
JK = ??
JK = 360 - (110° + 130° + 54°)
JK = 360 - 294
JK = 66°
Adding up JK + JL = 54° + 66°
= 120°
1/2 of 120° = 60°
Hence:
60° + 4b = 180°(sum of opposite angles in a cyclic quadrilateral)
4b = 180° - 60°
4b = 120°
b = 120/4
b = 30
Michael buys a basket of mangoes on sale for $4 before tax. The sales tax is 12%. what is the total price Michael pays for the basket of mangoes?
Answer:
The answer to your question is $4.48
The next model of a sports car will cost 12.3% more than the current model. The current model costs $49,000. How much will the price increase in dollars?
What will be the price of the next model?
Answer:
The price increase is $6,027
The price of the next model is $55,027
Step-by-step explanation:
Find the cost of the next model by multiplying 49,000 by 1.123
49,000(1.123)
= 55,027
Find the price increase by finding the difference:
55,027 - 49,000
= 6,027
The price increase is $6,027
The price of the next model is $55,027
Answer:
First write the percent as a decimal to make calculating for the answer easier. Then, u see that its telling you it will be 12.3% more than current price.
Step-by-step explanation:
what is better ,
8 pieces of candy for $0.99.
or
12 pieces of candy for $1.49.
Answer:
12 pieces of candy for $1.49
Find the equation of the line perpendicular to 2x + 3y = -5 and
passing through (3, -5). Write the equation in standard form.
Answer:
3, -5
Step-by-step explanation: took the test
84=4v what is v
HELP PLEASEEEEEEEEE (it said it was to short so now I am writing this to make it longer)
Step-by-step explanation:
84=4v
4v=84
v=84/4
v=21
please help me!!!! Solve for x
5^x = 5^3 x 5^8
Answer:
x=11
Step-by-step explanation:
trust i guess
Answer:
Step-by-step explanation:
The terms have the same base... (5)
So...
You can just take away the 5s and get:
X = 3 . 8
X = 24
It is simple.
Find the value of m
Answer:
m = 9
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Then
[tex](\frac{1}{27}) ^{m}[/tex] × [tex](81)^{-1}[/tex] = 243 ← express all values to base 3
[tex](\frac{1}{3^3}) ^{m}[/tex] × [tex](3 ^4)^{-1}[/tex] = [tex]3^{5}[/tex]
[tex](3^-3)^{m}[/tex] × [tex]3^{-4}[/tex] = [tex]3^{5}[/tex]
[tex]3^{-3m}[/tex] × [tex]3^{-4}[/tex] = [tex]3^{5}[/tex]
[tex]3^{(-3m-4)}[/tex] = [tex]3^{5}[/tex]
Since bases on both sides are equal, both 3 , then equate exponents
- 3m - 4 = 5 ( add 4 to both sides )
- 3m = 9 ( divide both sides by - 3 )
m = - 3
Plz solve I will give brainlist 15 points
Answer:
5 and 5
Step-by-step explanation:
The absolute value of a number is the number but positive.
/-5/ = 5 and /5/ = 5
Hope this helps!
what additional information can be used to prove vuw ~= yxz by asa
A(3,0) and B(-3,0) are the two fixed points Find the locus of a point P at which AB subtend a right angle at P
Answer:
[tex]y^2+x^2=9[/tex]
Step-by-step explanation:
Let's take a general point P(x,y). If there is a right angle at P then the slopes of the lines passing through AP and BP must be perpendicular.
Two lines of slopes m1 and m2 are perpendicular if:
m1*m2=-1
The slope of the line passing through P(x,y) and A(3,0) is:
[tex]\displaystyle m_1=\frac{y-0}{x-3}=\frac{y}{x-3}[/tex]
The slope of the line passing through P(x,y) and B(-3,0) is:
[tex]\displaystyle m_2=\frac{y-0}{x+3}=\frac{y}{x+3}[/tex]
Substituting in the equation:
[tex]\displaystyle \frac{y}{x-3}\cdot\frac{y}{x+3}=-1[/tex]
Operating:
[tex]\displaystyle \frac{y^2}{(x-3)(x+3)}=-1[/tex]
[tex]y^2=-(x-3)(x+3)[/tex]
[tex]y^2=-(x^2-9)[/tex]
[tex]y^2=-x^2+9[/tex]
[tex]\boxed{y^2+x^2=9}[/tex]
The locus is a circle centered at the origin with radius 3
There were 12 boys and 20 girls in chorus.
What is the ratio of boys to girls?
A:3:8
B:5:3
C:3:5
D:5:8
Answer:
3:5
Step-by-step explanation:
you divide them by 4!
Please help? Thank you
Answer: I think it’s the 8y= 7x + 6
Step-by-step explanation:
Well to make it easier, put it in slope intercept form, which that is y= -8/7x + 1/7. Since perpendicular lines are opposite sign reciprocal of the original equation, we know the slope of the perpendicular line would be positive, since the original was negative. So the answer would be 8y = 7x + 6
9514 1404 393
Answer:
(b) 8y = 7x +6
Step-by-step explanation:
You can always make a perpendicular line by swapping the x- and y-coefficients, and negating one of them. In the process, ignore the constant.
Swapping the coefficients in the given equation gives you ...
-8y = 7x + constant
Negating the y-coefficient, you get ...
8y = 7x + constant . . . . . the equation of a perpendicular line
Using constant = 6 to match an answer choice, you can see that this matches ...
8y = 7x +6
Which number is not a factor of 12 and a multiple of 6
Answer:
ummmm 5 ..............
50 points please help
Question No 6
Given
Mass m = 70 kg
Acceleration a = 5 m/s²
To determine
Force F = ?
Using the formula
F = ma
substituting m = 70 kg and a = 5 m/s²
F = 70 × 5
F = 350 N
Therefore, the sprinter is exterting a 350 N force.
Question No 7
Given
Mass m = 80 kg
Acceleration a = 10 m/s²
To determine
Force F = ?
Using the formula
F = ma
substituting m = 80 kg and a = 10 m/s²
F = 80 × 10
F = 800 N
Therefore, the sprinter is exterting a 800 N force.
Answer:
Given
Mass m = 70 kg
Acceleration a = 5 m/s²
To determine
Force F = ?
Using the formula
F = ma
substituting m = 70 kg and a = 5 m/s²
F = 70 × 5
F = 350 N
Therefore, the sprinter is exterting a 350 N force.
Question No 7
Given
Mass m = 80 kg
Acceleration a = 10 m/s²
To determine
Force F = ?
Using the formula
F = ma
substituting m = 80 kg and a = 10 m/s²
F = 80 × 10
F = 800 N
Therefore, the sprinter is exterting a 800 N force.
Step-by-step explanation:
The price of a car increased by 7% which expression can be used to calculate the new price of the car
Answer: P * ( 1 + 7%)
Step-by-step explanation:
You included no options but the expression should go something like this:
Pn = P * ( 1 + 7%)
Where Pn is the new price
P is the current price
The above formula will show the new price given the current price.
Identifying the Solution to a System of Two-Variable Inequalities
Which equation represents an inequality in the system
of inequalities shown in the graph?
4
Which point is a solution to the system?
х
2
4
Answer:
The answers are BELOW ⬇️
Step-by-step explanation:
P.S Thank ❤️ And Rate ⭐️ My Answer If It Has Helped You
The equation that represents the inequality in the graph is y < 2x + 2.
The solution of the system is (-1, -2).
What are systems of inequalities?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
To find the system of inequalities, first, we find the system of equations.
So, the first dotted line is passing through two points (-1, 0) and (0, 2),
then the equation of the line,
y - 0 = (2 - 0)/(0 + 1) (x + 1)
y = 2x + 2
From the diagram, the equation that represents the inequality in the graph is y < 2x + 2 ....(1)
Similarly, the equation of the second line is y ≤ 2x ...(2)
Now, the solution of the system is (-1, -2).
Therefore, the solution of the system is (-1, -2).
To learn more about the systems of inequalities;
https://brainly.com/question/19526736
#SPJ7
A factory made 555 packs of mint flavored gum and 8695 packs of fruit flavored gum.What percentage of the packs contained mint gum ?
Answer:
6%
Step-by-step explanation:
This problem uses proportions
I would set this up as-
555 x
8695 100
Cross multiply-
100 x 555 = 55500
Divide-
55500/8695 = 6.38
Round to the nearest whole number
Can someone please solve F (x) = x² - 2x + 1
Answer:
i hope this helps
Step-by-step explanation:
Answer: x=1
Step-by-step explanation:
Find the number in each case.
1. 70% of a numbеr iѕ 63
thanks to everyone helping :)
Answer:
[tex]90[/tex]
Step-by-step explanation:
Let the unknown number be x
[tex]x \times \frac{70}{100} = 63 \\ x = \frac{63 \times 100}{70} \\ x = 90[/tex]
Hope this helps
Can I have the brainliest please?
~Hi1315~
Answer:
90
Step-by-step explanation:
If 70% of a number is 63, we can call that number x and make the following equation:
0.7x = 63
Now we just need to solve for x:
x = 63/0.7
x = 90
So the original number is 90.
How do we know we’re right? If you do 70% of 90 (aka 0.7*90), you’ll get 63, so we know it’s correct.
Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4).
A. y=−4/5x−5
B. y=−4/5x−8
C. y=−4/5x−4
D. y=−4/5x+4
Answer:
B
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -4/5,
[tex]y = - \frac{4}{5} x + c[/tex]
To find the y-intercept, substitute a pair of coordinates.
When x= -5, y= -4,
[tex] - 4 = - \frac{4}{5} ( - 5) + c \\ - 4 = 4 + c \\ c = - 4 - 4 \\ c = - 8[/tex]
Thus, the equation of the line is
[tex]y = - \frac{4}{5} x - 8[/tex]
A local plant nursery recommends fertilizing a vegetable garden with a nitrogen fertilizer. The recommended amount of fertilizer is 0.6 lb per 100 square feet of garden space. How much fertilizer would be needed to fertilize 250 square feet of garden space?
A. 3.75 pounds
B. 1.5 pounds
C. 166 pounds
D. 2.5 pounds
Answer: 1.5 pounds
Step-by-step explanation:
You have 250 feet so if 0.6 is for 100 feet you would need 0.6+0.6 for the 200 feet. Then you need to split the 0.6 in half to make it 0.3 so, in conclusion, add 0.6+0.6+0.3 wich equals 1.5 HOPE THIS HELPS!!!
Answer:
B
Step-by-step explanation:
When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5, years after he moved into the house, the tree was 29 centimeters tall.
How tall was the tree when Vlad moved into the house?
centimeters
How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
Answer:
Step-by-step explanation:
I dont really know but somekne wil lask in the comments so you can find the answer.
Solve for x
help please!!!
Answer:
x=1
Step-by-step explanation:
Answer:
7/3
Step-by-step explanation:
used calculator
A triangle with area 50 cm^2 has side lengths 10cm and 22cm. What is the magnitude of the included angle?
Answer:
can we go to bed first
Step-by-step explanation:
then i will check your speed
Answer:
27°
Step-by-step explanation:
A = ab sinC / 2
50 = 10 * 22 * SinC / 2
sin C = (50 * 2) / (10 * 22) = 100 / 220 = 0.455
C = 27°
PLEASE HELPPP!!!!!!!!
Answer:
60
Step-by-step explanation:
The total sum should be 180 degrees.
So 3x = 180. x = 60
Answer:
60 not shure tho hsbsvsbs
identify the constant: 4x - 3
Answer:
The constant is 3 because it has no any variable term e.g "x"
Which of the following quadratic equation has a solution set {1/2.5}? Select all that apply.
Answer: Where is the problem?
Step-by-step explanation: There's no problem