Points A and B are 200 mi apart.
Answer:
17*200/17+83
Step-by-step explanation:
Points A and B are 200 mi apart. A cyclist started from point A and a motorcyclist started from point B, moving towards each other. The speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. At what distance from point A will they meet?
The distance under the question is 17*200/17+83= 17*2 = 34 miles.
17+83 = 100 mph in the denominator is the relative speed of the participants, the rate of decreasing the distance between them.
200/17+83=200/100= 2 hours is the time before they meet.
therefore 17*200/17+83 is the time before they meet
A tire manufacturer believes that the life of its tires follow a normal distribution with a mean of 46,000 miles and a standard deviation of 4,000 miles. What mileage can he guarantee each tire to last so that 99% of the tires last longer than the guaranteed lifetime?
Answer:
Guarantee of Tyre = 36,680 miles
Step-by-step explanation:
Given:
Mean = 46,000 miles
Standard deviation = 4,000 miles
Computation:
Assume;
x = guaranteed lifetime
P(X > x) = 99%
So,
P(X > x) = 0.99
So,
P(Z > z) = 0.99
So,
1 - P(Z > z ) = P(Z < z)
P(Z < z) = 0.01
So, in z table value of z = -2.33
x = μ + [z x σ]
x = 46,000 + [-2.33 x 4000]
x = 36,680
Guarantee of Tyre = 36,680 miles
Solve for x. Round to the nearest tenth.
Answer:
x = 9.6
Step-by-step explanation:
[tex]2 log_{2}(x) + \frac{1}{2} log_{2}(x - 1) - log_{2}( x + 3) [/tex]
solving these problem
I'm putting here a picture of the working out
Miguel bought a shirt for $13.95, a pair of pants for $16.87, and a hat for $7.79. What was the total amount of money Miguel spent?
Answer:
they did not pay the same rate.
2 pairs for $50
50÷2=25
Miguel spent $25 on each pair of jeans
4 pairs for $90
90÷4=22.5
Han spent $22.50 on each pair of jeans
Therefore these two did not pay the same rate.
Step-by-step explanation:
Wanna chat add me as a friend OR COME TO Snap (ADAMBELAL839)
Answer:
38.61
Step-by-step explanation:
Each value added to gether to achieve your final value
Carlos paid an electrician x dollars per hour for a 6-hour job, plus an additional $75 for parts. The total charge was $500.00. Which equation can be used to determine how much the electrician charged per hour?
Answer:5x + 70 = 320
Step-by-step explanation:
this can be the only answer.
please make me brainliest.
What is the least common denominator of 7/12, 7/15, and 7/24?
Answer:
120
Step-by-step explanation:
what is 1/4 times 6 in simplest form?
Game Pitches Seen
1 25
2 20
3 20
4 17
5 15
6 14
The table lists the number of pitches seen by a player in 6 games. What is the mean of the data set?
A.
11
B.
14.5
C.
18.5
D.
20
Answer:
C. 18.5
Step-by-step explanation:
all you have to do is add all the numbers together. Your equation should be 25+20+20+17+15+14 to get the answer of 111. After this all you have to do is divide 111 by how many games were played which is 6. 111÷6 is 18.5
Answer:
a
Step-by-step explanation:
I needddddddddd helppppppppp
Answer:
[tex]\frac{2}{-3}[/tex]
Step-by-step explanation:
To find the slope you only need two points from the table, and the equation [tex]\frac{y1-y2}{x1-x2}[/tex]
(1,-2) (4,-4)
[tex]\frac{-2+4}{1-4}[/tex] = [tex]\frac{2}{-3}[/tex]
convert 15 °C to Fahrenheit, use the formula F = 9/5 C + 32
Answer:
59
9/5(15)+32 =59
Step-by-step explanation:
What is the length of segment DA?
Answer:
Step-by-step explanation:
The length of this line segment is the distance between its endpoints A and B. So, a line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.
Answer: DA = 6
====================================================
Explanation:
The triangles are similar, allowing us to make the proportion below
DB/DA = DA/DC
Plug in the given values. Cross multiply and solve for x
DB/DA = DA/DC
9/DA = DA/4
9*4 = (DA)*(DA)
36 = (DA)^2
(DA)^2 = 36
DA = sqrt(36)
DA = 6
The length of DA is exactly the geometric mean of the lengths BD and DC
geometric mean of x and y = sqrt(x*y)
I need help no jokes plz
Answer:
[tex]\huge\boxed{\sf No}[/tex]
Step-by-step explanation:
These triangles are not similar because their angles are not equal.
Conditions for two or more triangles to be similar:
1) Their angles are congruent or equal.
2) Their sides are proportional.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Please help me with ptomblem
Answer:
When [tex] p^2 - 4p [/tex] is subtracted from [tex] p^2 + p - 6 [/tex], the result is [tex] 5p - 6 [/tex]. To get [tex] p - 9 [/tex], subtract [tex] 4p + 3 [/tex] from the result.
Step-by-step explanation:
✔️Subtracting [tex] p^2 - 4p [/tex] from [tex] p^2 + p - 6 [/tex]:
[tex] (p^2 + p - 6) - (p^2 - 4p) [/tex]
[tex] p^2 + p - 6 - p^2 + 4p [/tex] (Distributive property)
Collect like terms
[tex] p^2 - p^2 + p + 4p - 6 [/tex]
[tex] 5p - 6 [/tex]
✔️Subtracting [tex] p - 9 [/tex] from [tex] 5p - 6 [/tex]:
[tex] (5p - 6) - (p - 9) [/tex]
[tex] 5p - 6 - p + 9 [/tex] (distributive property)
Add like terms
[tex] 4p + 3 [/tex]
Order -3/4, 3/8, -1 1/8, -1/2 from least to greatest.Which is correct?
-1 1/8, -3/4, -1/2, 3/8
-1/2, -3/4, 1 1/8, 3/8
3/8, 1 1/8, -3/4 , -1/2
Answer:
the first one
Step-by-step explanation:
because the negative number is the least, and the positive is the greatest
3 (x – 4) = 2x + 6
solve for x
Answer:
Step-by-step explanation:
3 (x – 4) = 2x + 6 Remove the brackets
3x - 12 = 2x + 6 Add 12 to both sides.
3x - 12 + 12 = 2x + 6 + 12 Combine
3x = 2x + 18 Subtract 2x from both sides
3x-2x = 2x-2x + 18 Combine
x = 18
Mrs. Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry. There are 30 yogurt cups in the case. How many yogurt cups are strawberry?
Answer:
18
Step-by-step explanation:
The ratio of strawberry yogurt cups to all of the yogurt is 6:10. We know that there are 30 total yogurt cups, which is the same as 3 times 10. to find the number of strawberry cups, 6 should be multiplied by 3 as well to equal 18. 18:30 is still the same ratio as 6:10
A pecan ple recipe calls for 3 1/2 cups of sugar for 16 servings. How many cups of sugar are needed for 32 servings of pecan ple?
A. 6.24 cups
B. 7 cups
C. about 146 cups
D. about 164 cups
Answer:
B. 7 cups
Step-by-step explanation:
16+16=32
3 1/2+3 1/2=
3+3=6 1/2+1/2=1
6+1=7
Answer:
B. 7 cups
Step-by-step explanation:
31/2 cups for 16 servings.
32 servings are two 16 servings
Convert 3 1/2 to fraction 7/2 then multiply by 2
7 cups
what does x equal?
4x+7=31
Answer:
x = 6
Step-by-step explanation:
First, subtract 7 from both sides to get x alone. That will give you 4x = 24 .
Then divide both sides by 4 to remove the coefficient of x. That means x = 6.
4x+7=31
-7 -7
4x=24
÷4 ÷4
x = 6
a square number never end with 7 true or false
Step-by-step explanation:
true
hope it helps!
.......
Does anyone know the answer?
Answer:
the last one
Step-by-step explanation:
Plzzzzz help right answer gets a brainly!
Answer:
3
Step-by-step explanation:
i think because that what's between
Last month, Sheldon earned $12.80 in interest on a $320 deposit into his bank account. If the interest earned is directly proportional to the amount deposited, how much interest can Sheldon expect next month if he deposits $830?
Answer:
x = 32.20 !!
Step-by-step explanation:
Basically what your going to do is 12.80/320 = x/320
320x = 830 * 12.80
Sooooo X=32.20
Hop this helped
Find the arc length of AB to the nearest tenth.
90°
B
A
70 m
The arc length is
meters.
90 is a fourth of 360, so the a fourth of the total circumference is between those two radii. This means that, if you find the circumference and divide it by 4, the resulting number is that length.
one room length 12.8 and breadth equals to 850 CM inside that room there is a bad length is 300 cm and breadth is 400 cm find the remaining surface area of the room and the answer will be in cm
Answer:
[tex]Area = 968000cm^2[/tex]
Step-by-step explanation:
To be able to answer this question properly. I'll assume the length of the room is in meters.
So for the room, we have:
[tex]Length = 12.8m[/tex]
[tex]Breadth = 850cm[/tex]
For the bed, we have:
[tex]Length = 300cm[/tex]
[tex]Breadth = 400cm[/tex]
First, we calculate the surface area of the room.
[tex]A_1 = 12.8m * 850cm[/tex]
Convert all units to cm
[tex]A_1= 12.8*100cm * 850cm[/tex]
[tex]A_1= 1 088 000 cm^2[/tex]
Next, we calculate the area of the bed
[tex]A_2 = 300cm * 400cm[/tex]
[tex]A_2 = 120000cm^2[/tex]
The area of the space left is the difference between A1 and A2
[tex]Area = A_1 - A_2[/tex]
[tex]Area = 1088000cm^2 - 120000cm^2[/tex]
[tex]Area = 968000cm^2[/tex]
I don’t understand please help
find the slope intercept form of the equation of the line that passes through (-1,5) and is parallel to the line y=2x+4
Answer:
y = 2x + 7
Step-by-step explanation:
How is Triangle ABC similar to DBE?
Answer:
Triangle ABC is similar to triangle DBE: ∆ABC~∆DBE. ... Therefore, in conformity with first sign of the similarity of triangles, if two angles of one triangle are equal to two angles of another triangle, they are similar to each other. ∠BDE=∠BAC,∠BED=∠BCA ⇒ ∆ABC~∆DBE
use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?
Answer:
f(g(-1)) = 22
g(f(-1))=6
Step-by-step explanation:
We are given
[tex]f(x)=5x+2 \\g(x)=3-x[/tex]
We need to find f(g(-1)) and g(f(-1))
Finding f(g(-1))
First we will find f(g(x)) i.e
[tex]f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17[/tex]
Now finding f(g(-1)) by putting x=-1
[tex]f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22[/tex]
So, f(g(-1)) = 22
Finding g(f(-1))
First we will find g(f(x)) i.e
[tex]g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1[/tex]
Now finding g(f(-1)) by putting x=-1
[tex]g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6[/tex]
So, g(f(-1))=6
The difference of the product of 3 and a number -1/2
Answer:
(3 ⋅ x) - (-1/2)
Step-by-step explanation:
Since it says the product of 3 and a number, it can be written as 3 ⋅ x, where you need to multiply 3 by x, and it only says “a number” so you can just put x. Then, it says the difference of that product and -1/2. Now, you can put the product part in, which is 3 ⋅ x, and subtract that with -1/2 to get (3 ⋅ x) - (-1/2)
Hope this helps! :)