Answer:
-24
Step-by-step explanation:
Answer:
-58 + 34 = -24
Step-by-step explanation:
You know what a number line looks like right? Well, you also know that the negative numbers are to the left of the middle of the line at point 0, and the positives are to the right of 0? So, -58 + 34, you would start at -58 and start counting (adding) 34. You do this by "subtracting" a positive 34 from the negative 58, so basically, you could just ignore the negative sign for now and just subtract the problem like this: 58 - 34 = 24. Since 34 is not greater than 58 and you have not "crossed" the middle (0) to get over to the positive side, the answer is still a negative number as your final answer. So, the answer is -58 + 34 = -24.
REMEMBER: On a number line, when you have a negative number and you have to add, you move to the right, or up (if you are doing a vertical line). When you are subtracting on a number line, you move left, or down (if you are doing a vertical line). P.S. I am using the number line example because this is how I add and/or subtract positives and negatives when I don't have a calculator at hand to give the me the answer.
Hope that was helpful and not confusing!!!
The ratio of money in Terry's bank account to Faye's bank account was 3:7.
Terry then put £220 in his account and Faye withdrew £300 from her account.
They now had the same amount in their accounts.
How much did Terry initially have?
Answer:
£390
Step-by-step explanation:
The ratio of money in bank:
Terry : Faye
3 : 7
Terry put £220 in his account
Faye withdrew £300 from her account
Unknown:
Initial amount Terry had = ?
Solution:
Let the real amount terry has = 3x
Faye will have = 7x
Now;
3x + 220 = 7x -300
Solving this equation:
3x + 220 = 7x -300
3x - 7x = -300 - 220
-4x = - 520
4x = 520
x = 130
Originally, Terry has 3x = 3 x 130 = £390
On a set of parallel lines cut by a transversal m<2=(7x-5) and m<6=(x+25) which value of x could show that <2 and <6 are corresponding angles
Answer:
X = 5
Step-by-step explanation:
When the lines are parallel, the corresponding angles are equal in measure then:
m<2 = m<6
7x - 5 = x + 25
7x - x = 25 + 5
6x = 30
x = 5
help me pleaseeeeeeeeeeeeeeeeeeeeeee
Review the graph of y = sin(x). Based on the graph, what are the domain and range of the sine function? Y 3+ 2+ domain: [0, 2TT); range: [-1, 1] O domain: (-1, 1); range: [0, 2TT) domain: (-1, 1); range: (-0, 0) domain:(-0, 0); range: [-1, 1] I JT 57 Зл 4 Зл 7л 2 2 4 -1+ -2+ -3+
Answer:
The right answer is domain: (-∞, ∞); range: [-1, 1] ⇒ D
Step-by-step explanation:
In any function,
Domain is the values of x
Range is the values of y corresponding to x
In the function y = sin(x),
∵ The graph ends with arrows
→ That means there is many cycle not 1 cycle
∴ x ∈ R
→ That means x can be any value from -∞ to ∞
∵ x is the domain of the function
∵ R is the set of real numbers
∴ Domain = {x : x ∈ R} = (-∞, ∞)
∵ sin([tex]\frac{\pi}{2}[/tex]) = 1
∵ The greatest value of y is 1 at x = [tex]\frac{\pi}{2}[/tex]
∵ sin([tex]\frac{3\pi}{2}[/tex]) = -1
∵ The smallest value of y is -1 at x = [tex]\frac{3\pi}{2}[/tex]
∴ -1 ≤ y ≤ 1
∵ y is the range of the function
∴ Range = {y : -1 ≤ y ≤ 1} = [-1, 1]
∴ The right answer is domain: (-∞, ∞); range: [-1, 1]
Answer:
D: domain: (–ꝏ, ꝏ); range: [–1, 1]
Step-by-step explanation:
Hope this helps whoever needs more clarification.
People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?
Answer:
44%
Step-by-step explanation:
Can you guys help please!! Due very soon!
the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.
Hope thishelps!
what postúlate proves the triangle congruent
a.ASA
b.HL
c.SAS
d.SSS
e.AAS
What value is missing from the table ?
Answer:
B
Step-by-step explanation:
How do I solve this?(tangent segment)
Answer:
x = 6
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle, then
The square of the tangent is equal to the product of the measures of the external part and the entire secant, that is
x² = 4(4 + 5) = 4 × 9 = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea
turtles and 12 jellyfish. This ratio remained consistent during the remainder of his dive.
Part A
Using the given ratio, complete the table.
Number of
Number of
Sea Turtles
Jellyfish
1
4
24
14
60
Answer:
The values which are added to the table are;
Sea turtles = 1, Jellyfish = 3
Sea turtles = 4, Jellyfish = 12
Jellyfish = 24, Sea turtles= 8
Sea turtles = 14, Jellyfish = 42
Jellyfish = 60, Sea turtles= 20
Step-by-step explanation:
The given parameters are;
The ratio of sea turtles to jellyfish = 4:12
Therefore, the ratio of sea turtles to jellyfish = 1:3
Which gives;
When the number of sea turtles = 1, the jellyfish = 1 × 3 = 3 Jellyfishes
When the number of sea turtles = 4, the jellyfish = 4 × 3 = 12 Jellyfishes
When the number of sea jellyfishes = 24, the number of sea turtles = 24/3 = 8 sea turtles
When the number of sea turtles = 14, the jellyfish = 14 × 3 = 42 Jellyfishes
When the number of sea jellyfishes = 60, the number of sea turtles = 60/3 = 20 sea turtles
The values given in the table can be presented as follows;
Number of Sea Turtles [tex]{}[/tex] Number of Jellyfish
1 [tex]{}[/tex] 3
4 [tex]{}[/tex] 12
8 [tex]{}[/tex] 24
14 [tex]{}[/tex] 42
20 [tex]{}[/tex] 60
2.7 A 3400-lb car is traveling in third gear (overall gear reduction ratio of 2.5 to 1) on a level road at its top speed of 130 mi/h. The air density is 0.00206 slugs/ft3 . The car has a frontal area of 19.8 ft2 , a drag coefficient of 0.28, a wheel radius of 12.6 inches, a drive axle slippage of 3%, and a drivetrain efficiency of 88%. At this vehicle speed, what torque is the engine producing and what is the engine speed (in revolutions per minute)?
Answer:
1) The engine torque is approximately 134.33 N·m
2) The speed of the engine is approximately 4,469.15 revolutions per minute
Step-by-step explanation:
1) The drag coefficient, [tex]c_d[/tex], is given by the formula;
[tex]c_d = \dfrac{2 \cdot F_d}{\rho \cdot u^2 \cdot A}[/tex]
Where;
[tex]c_d[/tex] = 0.28
[tex]F_d[/tex] = The drag force
ρ = The fluid density = 0.00206 slugs/ft³ = 1.06168037 kg/m³
u = The object's flow speed = 130 mi/h = 58.1152 m/s
A = The frontal area = 19.8 ft² = 1.83948 m²
[tex]F_d = \dfrac{c_d \cdot \rho \cdot u^2 \cdot A }{2}[/tex]
∴ [tex]F_d[/tex] = (0.28 × 1.06168037 × (58.1152)² × 1.83948)/2 ≈ 923.4 N
We have;
[tex]F_d = \dfrac{M_e \cdot \varepsilon _0 \cdot \eta _d }{r}[/tex]
Where;
[tex]M_e[/tex] = The engine torque
ε₀ = The overall gear reduction ratio = 2.5
[tex]\eta _d[/tex] = The drivetrain efficiency = 0.88
r = The wheel radius = 12.6 inches = 0.32004 meters
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d}[/tex]
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d} \approx \dfrac{923.4 \times 0.32004 }{ 2.5 \times 0.88} \approx 134.33 \ N\cdot m[/tex]
The engine torque = [tex]M_e[/tex] ≈ 134.33 N·m
The engine torque ≈ 134.33 N·m
2) The speed of the engine, [tex]n_e[/tex], is obtained from the following formula;
[tex]v = \dfrac{2 \cdot \pi \cdot r \cdot n_e \cdot (1 - i)}{\varepsilon _0}[/tex]
Where;
v = The vehicle's speed = 130 mi/h = 58.1152 m/s
r = The wheel radius = 12.6 inches = 0.32004 meters
i = The drive axle slippage = 3% = 3/100 = 0.03
ε₀ = The overall gear reduction ratio = 2.5
[tex]\therefore n_e = \dfrac{v \times \varepsilon _0 }{2 \times \pi \times r \times (1 - i)} = \dfrac{58.1152 \times2.5 }{2 \times \pi \times 0.32004 \times (1 - 0.03)} \approx 74.486 \ rev /second[/tex]
The speed of the engine in revolution per minute = 60 seconds/minute × 74.486 rev/second ≈ 4,469.15 revolutions per minute
The speed of the engine ≈ 4,469.15 revolutions per minute.
Find the LCM (least common multiple) of 15 and 8.
LCM =
Answer:
120
Explanation:
Because I need 20 characters
Answer: The answer to this math question about finding The Least Common Multiple (LCM) of 15 and 8 is 120.
Step-by-step explanation: This is the same thing, according to the online calculator website called, "Calculatorsoup.com", I chose to find the list of the multiples given with the pair of the numbers, so anyways, here are the following steps in order to find The Lowest Common Multiple (LCM) with the given following pairs #15 and #8 are being shown here below:
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.1. Here are the list of the multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136.
2. Here are the list of the multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150.
So, therefore, the answer to this math question about finding The Lowest Common Multiple (LCM) of the given pair numbers for #15 and #8 is LCM(8, 15) = 120. As always to remember the legends, according to the online calculator website is called, "Calculatorsoup.com", the bold and the underline is being indicated that the first common multiple is founded, and without the given bold and the underline is being indicated that the first common multiple has not been found yet.I hoped that my given answer with my given explanation is very helpful to your own math question about finding The Lowest Common Multiple (LCM) of the given pair numbers, also using my given hint to find the first common multiple is also helpful to your own math question as well according to the online calculator website is called, "Calculatorsoup.com", that's all for today, please mark me as Brainliest and have a rest of a great day! :D
Sincerely,
Jason Ta,
The ambitious of Brainly and the role of The TDSB and WHCI Student of The High School.
Can you guys please help me!!!!
Answer:
The graph of y = x^3 has been translated 3 units to the right and 4 units upward
Thanks and have a great day!
Solve 5(x + 3) = 3x - 4
Show clear algebraic working,
Answer:
5(x + 3) = 3x - 4
=> (5 * x ) + (5 * 3) = 3x - 4
=> 5x + 15 = 3x - 4
=> 5x = 3x - 4 - 15
=> 5x - 3x = -4 - 15
=> 2x = -19
=> x = -19/2
=> x = -9.5
If my answer helped, kindly mark me as the brainliest!
Thank You!!
Work out the value of (2x10^4)+(7x10^3) in standard form
Answer:
27000xStep-by-step explanation:
Answer:
27000
Step-by-step explanation:
(2 * 10^4) + ( 7 * 10^3)
rewrite in standard form
20000 + 7000
solve
= 27000
A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.
Answer:
Step-by-step explanation:
This questions bothers permutation since permutation talks about arrangement.
The number of ways n objects can be arranged is n! ways
n! = n(n-1)(n-2)!
If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;
5! = 5*4*3*2*1
5! = 20*6
5! = 120 different arrangements
at Als pizza they have the expo pizza, which is a 24- inch cheese pizza that costs 17.50. Each topping for the pizza costs 2.35. you order a pizza and get charged 29.25
How many toppings were on the pizza?
A. 6
B. 10
C. 3
D. 5
Answer:
D
Step-by-step explanation:
The first step is to subtract 29.25 from 17.50
You get 11.75
Then divide 11.75 to 2.35
You get 5.
The reason you do these steps is because,
since you paid 17.50 for the pizza the rest is toppings so...
so you subtract from the total to see how much the toppings were worth in total...
you divide 2.35 from that to show how many toppings there would be
Answer:
D. 5
Step-by-step explanation:
Find the difference between the initial cost (17.50) and the final cost (29.25) by subtracting.
You should get $11.75 which represents how much he paid for toppings. It gives the value of each topping at $2.35 so now our last step is to divide $11.75 by $2.35. The answer is a perfect 5.
Comment if you need more help :)
B. In Buffalo, New York, the temperature was -14°F in the morning. If the temperature
dropped 7°F, what is the temperature now? ( 1 mrks)
Answer:
-21
Step-by-step explanation go up in negitive #s just stay in negitive
-14,-15,-16,-17,-18,-19,-20,-21!
When a geometric figure turns about a certain point it is called a_____
Answer:
rotation
Step-by-step explanation:
hope this helps
Answer:
Rotation (✿◠‿◠)
An open, rectangular box with length of 6 feet, width of 4 feet, and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
Complete Question
An open rectangular box with length of 6 feet, width of 4 feet and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
A. Find the cost of painting this open box.
B. Find the weight of the water in the filled box
Answer:
A
[tex]x = \$ 294[/tex]
B
[tex]z = 3720 \ pounds[/tex]
Step-by-step explanation:
From the question we are told that
The length is [tex]l = 6 \ ft[/tex]
The width is [tex]b = 4 \ ft[/tex]
The height is [tex]h = 2.5 \ ft[/tex]
Generally the total surface area of the open, rectangular box is mathematically represented as
[tex] T_ A = 2lb + 2lh + 2bh[/tex]
=> [tex] T_ A = 2(6 * 4) + 2(6 * 2.5) + 2(4 * 2.5)[/tex]
=> [tex] T_ A = 98 \ ft^2 [/tex]
From the question we are told that
$36.00 worth of paint covers [tex]12 ft^2[/tex]
So $x worth of paint covers [tex]98 \ ft^2[/tex]
=> [tex]x = \frac{98 * 36}{12}[/tex]
=> [tex]x = \$ 294[/tex]
Generally the volume of the open, rectangular box is mathematically represented as
[tex]V = l * b * h[/tex]
=> [tex]V = 6 * 4 * 2.5[/tex]
=> [tex]V = 60 \ ft^3 [/tex]
From the question we are told that
[tex]1 ft^3[/tex] weigh 62 pounds
[tex] 60 \ ft^3[/tex] weigh z pounds
=> [tex]z = \frac{60 * 62}{1}[/tex]
=> [tex]z = 3720 \ pounds[/tex]
A person is shopping for cereal, oranges, and eggs at a grocery store. Which of the following is an INPUT in this scenario?
The number of cereal boxes purchased
The cost per pound of oranges
The amount paid for eggs
Answer:
i got this on edg its b
Step-by-step explanation:
Does 2 times 36 equal 3 times 24
Answer:
Yes
Step-by-step explanation:
[tex]2 * 36 = 72\\ 3 * 24 = 72[/tex]
Answer:
Yes.
Step-by-step explanation:
2 times 36 = 72 and 3 times 24 = 72
Hope this helped! ^-^
A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?
A) 1/2
B) -1/2
C) 2
D) -2
Answer: Its A
Step-by-step explanation:
are some integers irrational
Find the general term of the quadratic sequence 3, 6, 11, 18, 27,....,...
Answer: 39.
Step-by-step explanation:
As 3+3=6, 6+5=11,11+7=18,18+9=27,27+11=39.
One meter is approximately 3.28 feet. Find the height of each building in feet by multiplying its height in meters by 3.28. Carlton Centre Office Tower is about feet tall. Burj Khalifa is about feet tall. Q1 Tower is about feet tall. The Shard is about feet tall. Willis Tower is about feet tall. Gran Torre is about feet tall.
Complete question :
Continent _________building _height(m)
________Carlton center office tower _ 223m
_________ burj Khalifa ____________828m
_________ QI ________________323
_________ the shard _________310
_________ Willis tower _______442
_________ grand torre ______300
Answer:
Kindly check explanation
Step-by-step explanation:
1 meter is approximately 3.28 feets
Height of the buildings in feets is obtained by multiplying the height in meters by 3.28
Carlton center office tower = (223 * 3.28) = 731.44 feets
Burj Khalifa = (828 * 3.28) = 2715.84 feets
QI = (323 * 3.28) = 1059.44 feets
The Shard = (310 * 3.28) = 1016.8 feets
Willis tower = (442 * 3.28) = 1449.76 feets
Grand Torre = (300 * 3.28) = 984 feets
Please help me I really need it Big points for help.
The three Miller boys were calculating the volume of their new fish tank to determine how many gallons of water the tank can hold. Each brother measured a different dimension of the tank. Their measurements were 1 yard in length, 1 foot in width, and 18 inches in height.
1. There are approximately 7.5 gallons per cubic foot. If you want to know how many gallons of water the tank can hold, what unit of measure would you use to calculate the volume of the fish tank? Explain why
2. Determine how many gallons of water the fish tank can hold. Carefully show your work and include units of measure.
1. Because you know the number of gallons per square foot. You would want to use cubic feet for the measurement of the tank.
2. Convert all dimensions to feet:
1 yard = 3 feet
18 inches = 1.5 feet.
Volume of tank = 3 x 1.5 x 1 = 4.5 cubic feet.
Multiply gallons per cubic foot by cubic feet of tank:
7.5 x 4.5 = 33.75 gallons.
A triangle has sides of length 30 98 and 103 is it a right angle
Answer:
No because by definition, theres is no exact 90 degree angle to form a Right angle triangle
Answer:
No this triangle is not a right angle because right angle have exactly 90° value, corresponding to quarter turn.
PLEASE PLEASE HELP!!!!WILL MARK BRAINLIEST
is 1.908x10 to the 17 power scientific why or why not
Answer:
Yes, because the beginning number has to be between 1 and 10. If there is a 10 in the ones place, move the decimal to the left and increase the power.