A messenger entered a building on the ground
(0) floor. He delivered a package to someone on
the 15th floor. That person sent him with a
package to the 3rd floor, who then sent him up
to the 38th floor before finally riding the
elevator all the way back down to the ground
floor to exit. In all, how many floors did the
messenger travel?
The messenger traveled a total of 100 floors while delivering packages.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A messenger entered a building on the ground floor zero.
He delivered a package to someone on the 15th floor which is (0 + 15).
= 15 floors.
That person sent him with a package to the 3rd floor, which is (15 - 3) = 12 floors.
∴ Total floors he traveled (15 + 12) = 27 floors.
who then sent him up to the 38th floor, so from 3rd to 38th he traveled
(38 - 3) = 35 floors.
∴ Total distance he traveled is = (27 + 35) = 62 floors.
Now he is on the 38th floor so, to reach zero level he needs to travel 38 floors.
Total distance traveled by him is = (62 + 38) = 100 floors.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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Find the solution of the system of equations.
First equation,
-8x+ 4y = -24
Second equation,
-7x+ 4y = -16
Answer: x=8, y=10
-8x+4y=-24
7x-4y=16
-x=-8
x=8
-64+4y=-24
4y=40
y=10
Is this correct? If it isn’t what’s the correct answer?
Answer:
No, it is 6.60
Step-by-step explanation:
We need to know the cost of 1 pound, so we have to do 3.60 divided by 3, to get the cost of 1 pound, which is 1.20
We times 1.20 by the amount of pounds we need, (5.5,) and get 6.60.
If it was times just 5 pounds, than yes, it would be correct, but we need to look out for decimals too.
Answer:
d. $6.60
Step-by-step explanation:
3 cost 3.60, then 5.5 would cost ?
So we have to find what multiplied with 3 would equal 5.5, so:
5.5/3, we can't simplify this fraction so we'll just use it to multiply 3.60
3.60 × 5.5/3 = 19.8/3 = 6.6
Which one is greater-15 or 15
Answer:
15
Step-by-step explanation:
15 is greater than -15 because if having 15 objects is more than being in loan of 15 objects xD.
Hope this helps plz mark brainliest :D
An amusement park charges $25 to enter plus $2 per ride ticket. Which graph models the cost of a visit to this park?
Graph A
Graph B
Graph C
Graph D
Answer:
Graph B
Step-by-step explanation:
The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
This question is incomplete
Complete Question
A baker uses 5.5 Ibs of flour daily
The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
Answer:
51.3 loaves of bread
Step-by-step explanation:
Converting 5.5 Ibs to oz (ounces)
1 Ibs =>12 oz
5.5 Ibs => x
Cross Multiply
12 × 5.5 => 88 oz
1 loaf of bread =>12 oz
Hence, in 1 day
12 oz =>1 loaf of bread
88 oz => x
x =>88 oz/ 12 oz
x => 7.3333333333 loaves of bread
Hence, he can make 7.3333333333 loaves of bread in 1 day
Hence, in 7 days
1 day => 7.3333333333 loaves
7 days => x
x => 7 × 7.3333333333 loaves
x => 51.333333333 loaves of bread
Approximately => 51.3 loaves of bread
what is 6 + square root of 2
what is 6 - square root of 2
Answer:
12
Step-by-step explanation:
Proceeds to rob your house
Answer:
huh????
Step-by-step explanation:
12−7=13(−12) what is this i need help
Answer:
5 no = 1 .................m
please help asap i’m stuck i’ll mark brainlest
Answer:
lololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoololololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoollollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololol
Step-by-step explanation:
You have 40 grams of a radioactive kind of tellurium. If it's half life is 9 hours, how much will be left after 18 hours
Answer:
10 grams
Step-by-step explanation:
How many weeks does it take to earn a million dollars if you are paid $30 per hour and work 35 hours a week for 50 weeks a year?
Answer:
1000
Step-by-step explanation:
What is the value of z?
73.8
42.6
9.4
22.7
If possible, factor the quadratic expressions.
Answer:
1) (x + 1)(2x + 3) | 2) (3x + 4)(x + 2) | 3) (2x+3)(x+2) | 4) (3x + 4)(2x + 3)
Step-by-step explanation:
Question 1: (x + 1)(2x + 3)
Question 2: (3x + 4)(x + 2)
Question 3: (2x+3)(x+2)
Question 4: (3x + 4)(2x + 3)
(If you need explanation reply to the message)
15 taps can fill a tank in 12 hours. How many hours will it take 10 taps to fill the tank?
Answer:
8 hours
Step-by-step explanation:
15/3 = 5
12/3 = 4
5 x 2 = 10
4 x 2 = 8
Select ALL the equations that have the same solution as the equation 3x - 12 = 24?
A) 15x - 60 = 120
B) 3x = 12
C) 3x = 36
D) x - 4 = 8
E) 12x - 12 = 24
Answer:
c
Step-by-step explanation:
GELPPPPXXUCUCICIGI HELP
Answer:
Step-by-step explanation:
If x = -5
Entonces f(X) = (-5) - 5 = -10
If x = 0
So f(x) = (0) - 5 = -5
When x = 5
So f(x) = (5) - 5 = 0
Don't pay attention to the "F", it just means they want the whole result of the operation if you replaced "x" with a number.
Remember that there are negative and positive numbers.
Any number below zero is negative.
L9 #4: Match the graph with the slope of the lines.
Answer:
4=A, cant see other numbers...
Step-by-step explanation:
Find the difference: v20-v180
Answer: -2√5
Step-by-step explanation:
A 40-foot ladder is leaning against a building that is 12-feet tall. What is the angle of elevation that the ladder makes with the ground? Round your answer to the nearest degree.
Answer:
θ = 17.45°
Step-by-step explanation:
Given that,
Length of a ladder = 40 foot
Height of a building = 12 feet
We need to find the angle of elevation that the ladder makes with the ground.
40 foot will be the hypotenuse and 12 feet will be the perpendicular distance.
Using trigonometry for this:
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{12}{40}\\\\\theta=17.457^{\circ}[/tex]
So, the angle of elevation that the ladder makes with the ground is 17.45°.
The angle of elevation is [tex]17^\circ[/tex] to the nearest degree
The right-angled triangle formed can be solved for the angle of elevation if we note that
The ladder forms the hypotenuse of the triangleThe wall of the building forms the side opposite the angle we seekSo, the trigonometric ratio to be used here is the [tex]sin\theta[/tex]. That is
[tex]sin\theta=\dfrac{\text{height of the building}}{\text{length of ladder}}[/tex]
substituting the values
[tex]sin\theta=\dfrac{12}{40}\\=\dfrac{3}{10}[/tex]
Now, to find the angle of elevation, [tex]\theta[/tex]
[tex]\theta=sin^{-1} \left(\dfrac{3}{10} \right)\\\approx 17^\circ \text{ (to the nearest degree)}[/tex]
Learn more trigonometry here: https://brainly.com/question/1980819
12) Write the equation of the quadratic whose vertex is (-2,3) and a = -3.
HALP PLEAAASE I NEED ANWSER I JEED TO HURRY SO I CAN GO TO MY AFTER SCHOOL CLUB- WHICH IS THREATENING TO KICK ME IF I DONT MAKE IT ON TIME
Answer:
D
Step-by-step explanation:
please help!!! i need to do this soon ill give all my points
Answer:
1a. n=7
2a. p=3
3a. m=48
4a. a=81
5a. a=8
6a. p=14
7a. s=60
8a. r=18
9a. n=65
---------------
1b. a=15
2b. b=5
3b. n=10
4b. d=13
5b. e=120
6b. n=45
7b. x=8
8b. x=56
9b. a=96
----------------
1c. b=36
2c. r=120
3c. s=11
4c. m=112
5c. i=272
6c. b=20
7c. a=42
8c. m=11
9c. p=21
Step-by-step explanation:
1. 2n+2= 16
Subtract 2 from each side
2n=14
Divide each side by 2.
n=7
2a. 11p-5=28
Add 5 to each side
11p=33
Divide each side by 11
p=3
3a. m/16 +7=10
Subtract 7 from each side
m/16 =3
multiply each side by 16
m=48
4a. a/9 -3 =6
Add 3 to each side
a/9=9
Multiply each side by 9
a=81
5a. 9a-11=61
Add 11 to each side
9a=72
Divide each side by 9
a=8
6a. 3p+12=54
Subtract 12 from each side
3p=42
Divide each side by 3
p=14
7a. s/15+1=5
Subtract 1 from each side
s/15=4
Multiply each side by 15
s=60
8a. 3r-11=43
Add 11 to each side
3r=54
Divide each side by 3
r=18
9a. n/5 -5=8
Add 5 to each side
n/5=13
Multiply each side by 5
n=65
1b. a/3-1=4
Add 1
a/3=5
Multiply by 3
a=15
2b. 8b+12=52
Subtract 12
8b=40
Divide by 8
b=5
3b. 6n+4=64
Suntract 4
6n=60
Divide by 6
n=10
4b. 5d+6=71
Subtract 6
5d=65
Divide by 5
d=13
5b. e/12-7=3
Add 7
e/12=10
Multiply by 12
e=120
6b. n/3+12=27
Subtract 12
n/3=15
Multiply by 3
n=45
7b. 6x+25=73
Subtract 25
6x=48
Divide by 6
x=8
8b. x/7+14=22
Subtract 14
x/7= 8
Multiply by 7
x=56
9b. a/6+4=20
Subtract 4
a/6=16
Multiply by 6
a=96
1c. b/4+2=11
Subtract 2
b/4=9
Multiply by 4
b=36
2c. r/20-3=3
Add 3
r/20=6
Multiply by 20
r=120
3c. 4s-5=39
Add 5
4s=44
Divide by 4
s=11
4c. m/8+5=14
Subtract 5
m/8=14
Multiply by 8
m=112
5c. i/4+5=73
Subtract 5
i/4=68
Multiply by 4
i=272
6c. 5b-7=93
Add 7
5b=100
Divide by 5
b=20
7c. a/3-3=11
Add 3
a/3=14
Multiply by 3
a=42
8c. 5m+13=68
Subtract 13
5m=55
Divide by 5
m=11
9c. 3p-15=48
Add 15
3p=63
Divide by 3
p=21
One or two may be wrong but that's because I was trying to do the answers quickly.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Help me please it’s due tomorrow at 5pm
Answer: Reflect across the y, then translate 7 units down, the triangles are the same
Step-by-step explanation:
I'm sure there're other ways, but this one works. After you translate it down, the triangles are the same, meaning they're congruent.
I will give you branilest.
A recipe for trail mix calls for 50 grams of almonds for every 2 cups of oats. The line represents the relationship between the amount of almonds and the amount of oats needed to make trail mix according to this recipe. The point (1, 25) is on the line.
b. Write an equation that represents the proportional relationship between almonds and oats. THEN indicate the meaning of each variable.
Answer:
y= x times 25
x=oats
y= almonds
Step-by-step explanation:
Which sign makes the statement true?
6.3600 x 1010 ? 5.360 x 1011
>
<
=
Submit
can somebody please help me
Answer:
>. Please tell me if I am right or wrong. And if I am right can I have brainlest, please?
Step-by-step explanation:
A line that includes the point (1, 1) has a slope of 4. What is its equation in slope-intercept
form?
Answer: y=4x-3
Step-by-step explanation:
point slope form is y-y1=m(x-x1)
y-1=(4)(x-1)
y-1=4x-4
y=4x-3
Raul buys a fancy new TV with a coupon of 20% off. The original price of the TV was $899. What is the price of the T.V?
Answer:
$179.8
Step-by-step explanation:
Answer:
$179.8
Step-by-step explanation:
you have to figure out how much is 20% off and then subtract the 2 numbers. :3 hope this helped!
I need help with this
Answer:
235
Step-by-step explanation:
to get 235 first you get your #'s
# 1= 90
#2= 90
#3= 55
Add!
90
90
55
_____
235
Alpha Corporation has 1,500 shares of $40 par, 7% cumulative preferred stock, and 2,200shares of 10$ par common stock.Alpha paid $10,000 in cash dividends including one- year dividends in arrears to preferred stockholders. Camon stockholders received:
Answer:
Common stockholders received $1,600.
Step-by-step explanation:
Cumulative preferred stock can be described as a type of preferred stock in which dividends not paid in any year accumulate and has to be paid first in future before common stockholders receive any dividends.
Since the dividends paid in cash by Alpha Corporation includes one- year dividends in arrears to preferred stockholders, this implies that the cumulative preferred stockholders have to paid 2-year dividends, i.e. the one-year arrears plus the current year dividend.
Amount received by common stockholders can be calculated as follows:
Amount of dividend paid by Alpha = $10,000
Annual cumulative preferred stock dividend = 1,500 * $40 * 7% = $4,200
Amount received by cumulative preferred stockholders = Annual cumulative preferred stock dividend * 2 years = $4,200 * 2 = $8,400
Amount received by common stockholders = Amount of dividend paid by Alpha - Amount received by cumulative preferred stockholders = $10,000 - $8,400 = $1,600
Therefore, common stockholders received $1,600.