Step-by-step explanation:
Let running speed = x.
So, cycling speed = 2x.
Total distance traveled = 20 + 25 = 45km
Time taken running = 20/x
Time taken cycling = 25/2c
Total time taken = 5 hours
So, 5 = 20/x + 25/2x
Solving this equation for x gives:
10x = 65. Thus x = 6.5
Since cycling speed = 2x, cycling speed = (6.5)(2)
So cycling speed is 13 km/h.
Hope it helps.
Solve the inequality.
3x + 6 <21
Answer:
3x + 6 < 21
subtract 6 on both sides
3x < 15
reduce by dividing with 3
x < 5
remember to handle inequalities just like equations
Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the school to Cherry Street. Round your answer to the nearest tenth.
Answer:
[tex]11.2[/tex]
Step-by-step explanation:
We can use the distance formula to solve this problem.
This distance formula states that the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to [tex]\sqrt{(\Delta x)^2+(\Delta y)^2}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
School is at coordinate point (9,6) and the closest point to school on Cherry St. is (4,-4).
Thus, the distance between school and Cherry Street is [tex]\sqrt{(9-4)^2+(6-(-4))^2}=\sqrt{5^2+10^2}=\sqrt{125}=5\sqrt{5}\approx \boxed{11.2}[/tex]
can someone please help
Answer:
I think its Your Values, but try and a get a second opinion
ssignment-make sure I can open it.
Factor
6
2) Using SYNTHETIC Division, is “X = 2” a
solution of the polynomial 2x² + 3x2 - 11X – 6
*Show all work just below
Help plz..And No links!! I repeat No links!!
Step-by-step explanation:
Apply foil method.
First,
[tex]4z \times z = 4 {z}^{2} [/tex]
Outer,
[tex]z \times - 1 = - z[/tex]
Inner,
[tex]4z \times 1 = 4z[/tex]
Last,
[tex]1 \times - 1 = - 1[/tex]
Add terms.
[tex]4 {z }^{2} + 3z - 1[/tex]
Please help me find all the answers.
Answer:
g = 10
Step-by-step explanation:
First, let's find the missing value of the 'C'
180 - 110 = 70 degrees
Now that we have the answer for one side, we can make an equation:
2g + 9g + 70 = 180 (area of a triangle is 180 degrees)
11g + 70 = 180
11g = 180 - 70
11g = 110
g = 110 / 11
g = 10
The value of g is 10 so we can now add them to the expression:
2g = 2(10) = 20
9g = 9(10) = 90
To make sure that you have the correct answer, add the values so that you get an answer as 180:
70 + 20 + 90 = 180
hope this helps....
From the given figure, We can notice that :
∠BCA + 110° = 180° (Because they make a Linear Pair)
⇒ ∠BCA = 180° - 110°
⇒ ∠BCA = 70°
We know that : Sum of the Angles in a Triangle should be equal to 180°
⇒ 2g° + 9g° + ∠BCA = 180°
⇒ 11g° + 70° = 180°
⇒ 11g° = 180° - 70°
⇒ 11g° = 110°
⇒ g° = 10°
⇒ 9g° = (9 × 10) = 90°
⇒ 2g° = (2 × 10) = 20°
A guitar factory has a cost of production C(x) = 100x + 56000 , where is the number of guitars produced . If the company needs to break even after 150 units sold, at what price should they sell each guitar ? Use the variable p to represent the price Round up to the nearest dollar .
Answer:
Step-by-step explanation:
If the company wants to just break even, that means that the cost to produce 150 guitars is equal to the price they charge to make a 0 profit. The cost of 150 guitars is
C(150) = 100(150) + 56000 and
C(150) = 71000. That's how much it costs to produce 150 guitars. If they want to make nothing at all, they have to sell the 150 guitars for
p(x) = 71000/150 so
p(x) = 473.33 or 474
Answer:
473.33 units
Step-by-step explanation:
The breakeven point is the level of production at which the costs of production equal the revenues for a product. So, considering P the price of a guitar unit, we have that:
C(150) = 150.P
P = C(150)/150
P = (100.150 + 56000) / 150
P = (15000 + 56000) / 150
P = 71000/150
P ~ 473.33 units of currency per guitar
15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.
Answer:
221cm squre
Step-by-step explanation:
I really need this help
Answer:
area: 454.2 sq.cm
perimeter: 77.7 cm
Step-by-step explanation:
to find area, find the area of all the separate shapes and add them together:
semi-circle:
radius is 12 cm
area = [tex]\frac{\pi (12)^2\\}{2}[/tex] = 226.2 sq.cm
separate the trapezoid into two right triangles and a rectangle.
area for triangles:
[tex]\frac{1}{2}[/tex](5)(12) = 30
30 x 2 = 60 sq.cm (since there are two triangles)
area for rectangle:
12 x 14 = 168 sq.cm
area of whole shape: 226.2 + 60 + 168 = 454.2 sq.cm
for perimeter, just add the length of the exterior sides together.
we have some unknown sides, such as the semicircle and the sides of the trapezoid
we can find the hypotenuse of the triangles we used earlier to find the sides of the trapezoid with pythagorean theorem
[tex]5^2 + 12^2 = c^2[/tex]
[tex]25 + 144 = c^2[/tex]
[tex]169 = c^2[/tex]
[tex]\sqrt{169} =\sqrt{c^2}[/tex]
c = 13 cm
to find the outside perimeter of the semi-circle, solve as if you were finding the circumference of a normal circle and divide it in half
[tex]\frac{2\pi12}{2}[/tex] = 37.7 cm
now add it all up:
14 + 13 + 13 +37.7 = 77.7
On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 483 pounds and a standard deviation of 70 pounds. The cow transport truck holds 5 cows and can hold a maximum weight of 2840. If 5 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 2840
Answer: 0.0033
Step-by-step explanation:
Let x be a random variable that denotes the weights of cows.
Given: [tex]\mu = 483,\ \sigma=70[/tex]
maximum weight can be hold= 2840 pounds.
Mean weight = [tex]\frac{2840}{5}[/tex] = 568 pounds
The probability their total weight will be over the maximum allowed of 2840
= [tex]P(X>2840)[/tex]
[tex]P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{568-483}{\dfrac{70}{\sqrt{5}}})\\\\=P(z>2.715)\\\\=1-P(z<2.715)\\\\=1-0.9967=0.0033[/tex]
Hence, the required probability = 0.0033
what is 3x² - 6x over x-2 simplified?
Answer:
3x
Step-by-step explanation:
3x^2 - 6x / x - 2
3x(x - 2) / x-2
cancels out
3x
Kaj and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $4.75 and a drink for $3.75. How much would it cost if they bought 6
bags of popcorn and 3 drinks? How much would it cost if they bought p bags of
popcorn and d drinks?
Total cost, 6 bags of popcorn and 3 drinks:
Total cost, p bags of popcorn and d drinks:
Answer:
Total cost of 6 bags of popcorn and 3 drinks: [tex]\$39.75[/tex]
Total cost of [tex]p[/tex] bags of popcorn and [tex]d[/tex] drinks: [tex]4.75p+3.75d[/tex]
Step-by-step explanation:
Information given:
One bag of popcorn is $4.75One drink is $3.75Therefore, the total cost of 6 bags of popcorn and 3 drinks must be [tex]6\cdot 4.75+3\cdot 3.75=\boxed{\$39.75}[/tex]
The cost of [tex]p[/tex] bags of popcorn and [tex]d[/tex] drinks is then [tex]\boxed{4.75p+3.75d}[/tex]
12.
Find the value of x. If necessary, round to the nearest tenth.
A. 7.0 in.
B. 9.9 in.
C. 14.0 in.
D. 11.9 in.
Answer:
9.9 inches
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the length of the height
49 = 1/2 x*x
Multiply each side by 2
2*49 = x^2
98 = x^2
Take the square root of each side
sqrt(98) = sqrt(x^2)
9.899494937 =x
Rounding to the nearest tenth
9.9 =x
help me please please
Answer:
A
Step-by-step explanation:
For a number to be written in scientific notation, you need to have it in the form:
a x 10^n
Where a is between 1 and 10(not including 10), and n is an integer. We can notice that in option A, 0.1(a) is not between one and ten, so it is not in scientific notation.
can someone help me.
Please help what’s the answer ??
Answer:
x = 8
In all the boxes, you will first subtract 8 with 2, which will be 6. Then you will add them.
6 + 6 + 6 = 18
which set of values could be the side lengths of a 30-60-90 triangle
Answer:
D. 6, 6[tex]\sqrt{3}[/tex], 12
Step-by-step explanation:
the Pythagorean Theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]
so,
[tex]6^{2} =36\\(6\sqrt{3}) ^{2} =108\\12^{2} =144\\36+108=144[/tex]
Write an algebraic expression for the phrase. 4 times the sum of q and p
Complete the equation for the relationship between the weight and number of months
help me find this answer
Answer:
37.6 cm
Step-by-step explanation:
5.6m = 560cm
3.8m = 380cm
560/50 = 11.2 cm
380/50 = 7.6 cm
11.2 + 11.2 + 7.6 + 7.6 = 37.6 cm
prove that 9^3/2 -3 *5^0 -(1/81)^-1/2 = 15
Pls help, correct answer, I’ll mark as brainliest
Answer:
[tex]9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15[/tex]
Step-by-step explanation:
The given expression is :
[tex]9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15[/tex]
We need to prove that LHS is equal to RHS.
Taking LHS,
[tex]=9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}[/tex]
[tex]=(3)^{2\times\dfrac{3}{2}}-3-(\dfrac{1}{9})^{2\times \dfrac{-1}{2}}\\\\=27-3-9\\\\=15\\\\=RHS[/tex]
Hence, LHS = RHS.
An account pays 9% per year simple interest. In year 1, the amount in the
account is $750. How much is in the account in year 6?
Answer:
$405
Step-by-step explanation:
SI=PTR/100
=9*1*750/100
=$ 67.50
In 6 yrs= 67.50*6
=$405
Answer:
The answer is $1087.50
I got it wrong because someoneeeeeee didnt give the right answer (2 people to be exact)
Total area of composite figure
Answer:
Hello! answer: 99 units2
Step-by-step explanation:
9 × 6 = 54 9 × 10 = 90 90 ÷ 2 = 45
54 + 45 = 99 therefore the area is 99 units2 hope that helps!
PLEASE HELP ME PLEASSEEE!!
Answer:
Step-by-step explanation:
The balloon was released at 10 yards, and it landed at 16 yards. The maximum height the balloon reached was 27 yards. To find how high the balloon is per yard we do 27 ÷ 3 = 9
so on the table we do:
x-axis y-axis
10 | 0
11 | 9
12 | 18
13 | 27
14 | 18
15 | 9
16 | 0
BNATT73ZGEZZU63F
free reedem code
Thanks! But what is it for??
Answer:
Thanks I got my free thing from this code that points out where to redeem it
Step-by-step explanation:
pls tell plssssssssssssssssssssssssssss
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Answer:
x = 6 and y = 0
Step-by-step explanation:
x + 2y = 6
x = 6 - 2y equation(i)
substitute the value of x
x + 2y = 6
6 - 2y - 2y = 6
-4y = 6 - 6
y = 0/-4
y = 0
substitute the value of x in equation (i)
x = 6 - 2y
x = 6 - 2*0
x = 6-0
x = 6
Measurement questions please help
Answer:
There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.
2.8125
Step-by-step explanation:
use thing below to get answers or count them
Blue
A bowl contains:
• 3 red erasers
• 4 blue erasers
.6 green erasers
• 7 pink erasers
An eraser will be drawn from
the bowl and replaced 50 times.
What is a reasonable prediction
for the number of times a green
eraser will be drawn?
Answer:
i think it will be chose 3 times
Step-by-step explanation:
im not sure thats my pridiction
Answer:
0.4
Step-by-step explanation:
7th grade girl!
*(urgent, please help! )*
For all the angles, you will have to solve for x
A: 162 = 3x
162/3 = x
54 = x
M: 120 + 2x = 180
2x = 180 - 120
2x = 60
x = 60/2
x = 30
W: 150 = 30x
150/30 = x
5 = x
S: 20 + 2x = 90
2x = 90 - 20
x = 70/2
x = 35
Q : 45 + 5x = 90
5x = 90 - 45
x = 45/5
x = 9
P: not too sure if its 150,
150 + (x+5) = 180
x+5 = 180- 150
x = 30 - 5
x = 25
now you will put all the x values in order. ( i think thats what you supposed to do)
it will be: 5, 9, 25, 30, 35, 54
hope this helps♡♡♡
Find F(-5) if f(x)=6
Answer:
on seconded I will come back and edit my answer