Answer: 60 mph
Step-by-step explanation:
Question wants the speed to the lake.
It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.
It took him 6 hours to come back.
Assuming the speed James used on the return trip is x:
Expression for distance is:
4(x + 20) = 6x
4x + 80 = 6x
2x = 80
x = 80/2
x = 40 mph
Speed to the lake = 40 + 20
= 60 mph
if the radius is 14cmand The perimeter of the sector is 57.32cm.
what is the size of the angle?
Answer:
120°
Step-by-step explanation:
A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:
Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r
Where θ is the angle which forms the sector and r is the radius of the circle.
Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:
Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r
[tex]57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o[/tex]
A brownie recipe requires 4 cups of flour for 6 persons how much flour do you require for 24 persons
You bought an item for $24.00, but sold it for a 30% mark up in your store. What price did you sell this item for?
According to the United States Census Bureau. Just about 5 1.5% of the adults in America are women. What would you say is the probability that the next adult you run into is female? What's the probability of that person being male?
Answer:
[tex]P(F) = 0.515[/tex]
[tex]P(M) = 0.485[/tex]
Step-by-step explanation:
Given
[tex]Female = 51.5\%[/tex]
Solving (a): Probability of running into a female
To do this, we simply convert the given proportion to decimal
[tex]P(F) = 51.5\%[/tex]
Convert to fraction
[tex]P(F) = \frac{51.5}{100}[/tex]
[tex]P(F) = 0.515[/tex]
Solving (b): Probability of running into a male
Represent this with [tex]P(M)[/tex]
To solve this, we apply the concept of probability complement which states that:
[tex]p + q = 1[/tex]
In this case:
[tex]P(F) + P(M) = 1[/tex]
Substitute 0.515 for P(F)
[tex]0.515 + P(M) = 1[/tex]
Subtract 0.515 from both sides
[tex]0.515-0.515 + P(M) = 1 - 0.515[/tex]
[tex]P(M) = 1 - 0.515[/tex]
[tex]P(M) = 0.485[/tex]
Determine the measure of the seventh interior angle of a heptagon (a seven-sided polygon) if you know the other six measures are 135
129 129 127 131", and 124
Answer:
125 deg
Step-by-step explanation:
(n - 2)180
n = 7
(7 - 2)180 = 5(180) = 900
900 - 135 - 129 - 129 - 127 - 131 - 124 = 125
Answer: 125 deg
Answer: the answer is 125
Step-by-step explanation:
I will give anyone the brainliest correctly
Step-by-step explanation:
2% 0.2 1/3 0.8 3
these are the numebrs after being converted
0.02 0.2 0.3333 0.8 3
Please solve this for me! Thank you so much I appreciate you. tpwk
Answer:
C
Step-by-step explanation:
Find the volume of the figure. Round to the nearest hundredth if needed.
Answer:
4,914 i think, when rounding it, it will be 4,920
HELP!!!!! Suppose the distance between two cities on a map is 5.2in the scale is 1 in =80miles what's the actual distance between the cities.
A) 408 miles
B) 400 miles
C) 424 miles
D) 416 miles
Answer:
80*5.2= 416
D: 416 miles
PLEASE HELP PLS PLS WITH MY MATH
PLEASE ANSWER QUICK!!!
Answer:
7.2 or 36/5
Step-by-step explanation:
which of the following does not describe a relation that is a function? (please help i will give u brainliest)
Answer:
answer is a but please mark me brainliest if I m correct
Pls help asap!!!
Solve for x . 2x=y
need help asp pls The 8 students in Mrs. Howard's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
14, 11, 16, 10, 6, 5, 5, 7
Answer:
what's the question thougu
please help ........
Answer:
x = 8
Step-by-step explanation:
Two tangent segments to a circle from the same external point are congruent, thus
WP = WQ , that is
3x - 6 = x + 10 ( subtract x from both sides )
2x - 6 = 10 ( add 6 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8
Which of the following represents the factorization of the binomial below?
x² - 121
O A. (x-11)(x-11)
B. (x +11)(x+11)
C. (x +11)(x-11)
D. (X)(x-121)
Answer:
C. (x + 11) (x - 11)
Step-by-step explanation:
x² - 121
= x² - 11²
= (x + 11) (x - 11) (Difference of two squares)
X – y=11
3x + 10y= -6
Answer:
(8, - 3 )
Step-by-step explanation:
Given the 2 equations
x - y = 11 → (1)
3x + 10y = - 6 → (2)
Multiplying (1) by 10 and adding to (2) will eliminate the y- term
10x - 10y = 110 → (3)
Add (2) and (3) term by term to eliminate y
13x + 0 = 104
13x = 104 ( divide both sides by 13 )
x = 8
Substitute x = 8 into either of the 2 equations and solve for y
Substituting into (2)
3(8) + 10y = - 6
24 + 10y = - 6 ( subtract 24 from both sides )
10y = - 30 ( divide both sides by 10 )
y = - 3
solution is (8, - 3 )
A crane lifts a pallet of concrete blocks 7ft from the back of a truck. The truck drives away and the crane lowers the pallet 11ft What is the final position of the pallet relative to where it started in the back of the truck?
Answer:
The position of the concrete relative to its initial position is 4ft behind its initial position
Step-by-step explanation:
Let us analyze the problem following the sequence of events.
First of all, the crane is initially 7 ft from the back of the truck.
Once the truck drives away, the crane lowers the concrete at 11 ft away from the back of the truck.
To get this distance relative to the initial position, we have to subtract the initial position from the final position of the concrete.
This will be
11ft - 7ft = 4 ft
The position of the concrete relative to its initial position is 4ft behind its initial position
Which statement correctly compares 1/3 and 3/8????
SOMEONE PLEASE HELP MEEE!!!!!!!!!!!
Answer:
81.6814 ft
Step-by-step explanation:
Simplify each algebraic expression.
2a +3(a +7)–(3a +3)
Answer:
2a+18Step-by-step explanation:
[tex]2a +3(a +7)-(3a +3)\\\\Expand\: 3(a +7) :\\3a+21\\\\=2a+3a+21-\left(3a+3\right)\\\\-(3a+3)=-3a-3\\\\=2a+3a+21-3a-3\\\\Simplify\\\\=2a+18[/tex]
Which statement describes a series of transformations that would show that Figure A is congruent to Figure B?
A. Figure A is reflected over line m and translated 4 spaces to the right.
B. Figure A is reflected over line m and translated 7 spaces to the right.
C. Figure A is reflected over line k and translated 8 spaces down.
O D. Figure A is translated 4 units down and 4 units to the right.
E. Figure A is translated 8 units down and 7 units to the right.
Answer:b
Step-by-step explanation:
Solve for v
when
d = 10 and
t=5
A car wash can wash four cars in one hour. The table shows the total number of cars washed. How long will it take to wash 24 cars?
Answer:
6 Hours
Step-by-step explanation:
Q. A car wash can wash four cars in one hour. The table shows the total number of cars washed. How long will it take to wash 24 cars?
A. 4 Cars = 1 Hour
8 Cars = 2 Hours
12 Cars = 3 Hours
16 Cars = 4 Hours
20 Cars = 5 Hours
24 Cars = 6 Hours
Hope this helps
A number is divided by 2. Then 4 is added to the quotient. Next, the sum of these numbers is multiplied by 3. The result is 21. Find the number.
I need the answer ASAP
Answer:
The number is 6.
Step-by-step explanation:
Work the question backwards.
21÷3=7
7-4=3
3×2=6
And if you need proof.
6÷2=3
3+4=7
7×3=21
There are 17 adult dogs and 8 puppies at the dog park. Which statement is
correct?**
a. The ratio of adult dogs to puppies at the park is 8:17.
b. The ratio of adult dogs to all dogs at the park is 17:8.
c. The ratio of puppies to adult dogs at the park is 25:8.
d. The ratio of puppies to all dogs at the park is 8:25.
Answer:
B?!
I'm so sorry if I am wrong !
Step-by-step explanation:
Have A Wonderful Day !!
Please help!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.
a. -4 and 4b + 4
b. 3x and 1 -3x
Answer:
Does this problem have a picture, I just need to make sure I am seeing everything correctly thanks!
Step-by-step explanation:
a. -4 and 4b + 4 = 4b
-4 and 4b + 4 = -4 + (4b + 4) = 4b + (4 - 4) = 4b + 0 = 4b
b. 3x and 1 - 3x = 1
3x and 1 - 3x = 3x + (1 - 3x) = 1 + (3x - 3x) = 1 + 0 = 1
tom goes on hoilday south africa
Answer:
Yes, good for him. lol
Step-by-step explanation:
Answer:
what he do there?
At pizza pi 6%of the pizzas made last week had extra cheese if 3 pizzas had extra cheese how many pizzas in all were made last week
Answer:
300
Step-by-step explanation:
The value of (a–1)+92 - +24,5 " when a= 2 and b=-1
Answer:
256271
Step-by-step explanation:
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