Answer:
y = 10 + 5x
Step-by-step explanation:
We are told he travelled 10 km away from the city by bus.
Now, after that he walked by foot in the same direction at the speed of 5 km/h.
Now, distance = speed x time
In x hours, distance he will have walked by foot = 5x
Which means total distance he has covered both by bus and walking by foot = 10 + 5x
We are told y is the distance from the city after x hours of walking.
Thus;. y = 10 + 5x
Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away initially and save $10 every month The second option is to put $200 away initially and save $30 every month . After how many months would Tina save the same amount using either option ? How much would she save with either option ? After Box month , Tina will save with either option.
Answer:
5 months, $350
Step-by-step explanation:
Under option 1, where Tina starts with $300 and adds $10 per month, her savings after m months will be ...
300 +10m
Under option 2, where Tina starts with $200 and adds $30 per month, her savings after m months will be ...
200 +30m
__
We want to find the value of m such that the two options produce the same result:
300 +10m = 200 +30m
100 = 20m . . . . . . . . . . . add -10m-200 to both sides of the equation
5 = m . . . . . . . . . . . divide by 20
Her savings balance after 5 months will be ...
300 +10(5) = 300 +50 = 350
After 5 months, Tina will save $350 with either option.
A large vehicle has wheels with
a 2-foot radius. These wheels are turning at 650 rpm. Find the linear velocity in mph.
A wheel with radius 2 ft has circumference 2π(2 ft) = 4π ft, and this is the distance traveled by a fixed point on the edge of the wheel as it completes one revolution. So we have
1 rev = 4π ft
1 mi = 5280 ft
1 h = 60 min
Turning at a rate of 650 rpm (rev/min), the linear velocity would then be
650 rev/min = (650 rev/min) * (4π ft/rev) * (1/5280 mi/ft) * (60 min/h)
650 rev/min = 325π/11 mi/h
650 rpm ≈ 92.82 mph
all the real square roots of 144.
Answer:
So the set of all real square roots of -144 is the empty set. The imaginary square roots are i12 and -i12.
Step-by-step explanation:
hopefully that helps you
The real square roots of 144 as requested are; 12 and -12.
According to the question;
We are required to determine all real square roots of 144.The square root represented as follows is;
√144±12Therefore, The real square roots of 144 as requested are; 12 and -12.
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Alonzo works as a car detailer. He charges $175 per car. He is planning to move out of his parents' house and rent his first apartment. He will need to
pay $115 for application fees, $965 for security deposit, and first and last months' rent at $1,240 per month. He has $1,886 in savings. How many cars
must he detail to have enough money to rent the apartment
cars
Answer:
10 cars
Step-by-step explanation:
Variable c = car
Step 1: form an equation
175c + 1886 = 115 + 965 + (1240)2
Step 2: isolate variable c and solve
175c + 1886 = 3560
175c = 3560 - 1886
175c = 1674
c = 1674 ÷ 175
c = 9.56....
*He will not get paid until the full car is detailed. Therefore, decimals (seen as half a car) will not pay him anything.*
Step 3: round up to the nearest whole number
c = 10
Answer:
correct answer is 9
Step-by-step explanation:
what is 32% in fraction form
Answer:
32/100
Step-by-step explanation:
32% is out of 100% so you put that in fraction form? 100% become the deminator
The height of a building is
480 feet. on a drawing of the building,
1/2 inch represents 24 feet, what is the
height of
building on the drawing?
Answer:
10 feet
Step-by-step explanation:
This is a problem of scale
where scale is
actual height of any object/ height of that object on drawing
given
actual height = 24 feet
this is represented 1/2 inch on drawing
thus
scale = actual height/ height on drawing = 24 feet/1/2 inch = 24*2 feet/ 1 inch
scale = 48 feet / 1 inch
given actual height of a building = 480 feet
let the height on drawing be x inch
thus
48 feet / 1 inch = 480 feet/ x inch
=> x inch/ 1 inch = 480 feet / 48 feet
=> x = 10 feet
Thus, the height of building on the drawing is 10 feet
what is the measure of
Answer:
30 degrees
Step-by-step explanation:
∠BAC= ∠DAE (vert. opp. ∠s)
(x +10)°= (2x -10)°
x +10= 2x -10
Bring constants to 1 side, x terms to the other:
2x -x= 10 +10
x= 20 (simplify)
∠BAC= (x +10)°
∠BAC= (20 +10)° (substitute x=20)
∠BAC= 30°
Answer:
<bac=30°
Step-by-step explanation:
<bac=<ead (being vertically oppoaite angles)
(x+10)=(2x-10)
10+10= 2x-x
20°=x
now
<bac=(x+10)°
<bac=(20+10)°
so,<bac=30°
Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is positive,
and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of water, and th
small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same amount of water as
the small tank. Which statement describes the flow rate?
Answer:B) The flow rate of the large tank is -10 gal/min, and the flow rate of the small tank is 10 gal/min.
Step-by-step explanation:
Printing a newsletter costs $1.50 per copy plus $450 in printer's fees. The copies are sold for $3 each.How many copies of the newsletter must be sold to break even?
Answer:
300 Copies
Step-by-step explanation:
Break even Units = Fixed Costs / (Price - Variable Cost)
Fixed Costs = $450
Variable Cost = 1.5
Price = 3
Break Even Units = 450 / (3 - 1.5)
Break Even Units = 450 / 1.5
Break Even Units = 300
300 Copies must be sold to break even.
I hope this helps!
-The BusinessMan
Jermaine paid $10 for an item and the shop owner gave him $2 in change. Which expression represents how much
less he would have in his wallet?
10 - (-2)
|--10- (-2)
-2.(-10)
2+ (10)
Answer:
10-(-2)
Step-by-step explanation:
Find the mean of the integers -45 -20 -35 -25 -40
Answer:
-33
The mean of the data set -45, -20, -35, -25, and -40 is -33.
Hope it helps.
The mean of given integers is -35.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
The given integers are -45, -20, -35, -25, -40.
We know that, mean = Sum of all the observations/Number of observations
= [(-45+(-20)+(-35)+(-25)+(-40)]/5
= (-45-20-35-25-40)/5
= -165/5
= -35
Therefore, the mean is -35.
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Diego's parents gave him a fish tank containing 20 goldfish. Each month, Diego purchases 3 goldfish to add to his fish tank.
Which inequality can be used to find m, the number of months after receiving his fish tank, when Diego will have more than 35 goldfish in his fish tank?
A. 3m+20 35
D. 20m+3>35
Answer: DDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
Find the Median from the number set 6, 11, 7, 4, 12, 15, 1
Answer:
The answer is 7
Step-by-step explanation:
Square root of 2 to the power of four add 3 to the power of 2
Answer:
13
Step-by-step explanation:
i solved it for you
your welcome :)
1) El largo de un rectángulo mide el triple que su ancho. Si el ancho mide 12 cm, el perímetro del rectángulo es: Selecciona la opción correspondiente: a) 86 cm b) 90 cm c) 96 cm d) 102 cm 2) ¿Cuál es el perímetro de un heptágono regular de 2,45 m de lado? Selecciona la opción correspondiente: a) 14,7 m b) 12,25 m c) 17,15 m d) 20 m 3) Si una cancha de fútbol mide 98 m de largo y su ancho equivale a la mitad de esta medida, su perímetro es: Selecciona la opción correspondiente: a) 304 m b) 284 m c) 294 m d) 354 m 4) Frente a la casa de Carolina hay un parque que tiene 45 m de largo y 38 000 mm de ancho. Si ella da dos vueltas alrededor de este, ¿qué distancia en metros recorre? Selecciona la opción correspondiente: a) 160 metros b) 330 metros c) 166 metros d) 332 metros
Answer:
1) c) 96 cm
2) c) 17,15 m
3) c) 294 m
4) d) 332 metros
Step-by-step explanation:
1)
La fórmula para el perímetro de un rectángulo = 2L + 2W
= 2 (largo + ancho)
L = longitud
W = ancho
Se nos dice en la pregunta que:
La longitud de un rectángulo es tres veces su ancho. Si el ancho es de 12 cm
Por lo tanto,
L = 3 W
L = 3 × 12
Largo = 36cm
Por lo tanto, el perímetro =
2 (largo + ancho) cm
= 2 (36 + 12) cm
= 2 (48) cm
= 96 cm
2)
La fórmula para el perímetro de un heptágono regular = 7a
Donde a = longitud de un lado
De la pregunta,
a = 2,45 m laterales
Por lo tanto, el perímetro de un Heptágono regular = 7 (2,45 m)
= 17,15 m
3)
La fórmula para el perímetro de un rectángulo = 2L + 2W
= 2 (largo + ancho)
L = longitud
W = ancho
Se nos dice en la pregunta que:
Si un campo de fútbol tiene 98 m de largo y su ancho es igual a la mitad de esta medida,
Por lo tanto,
L = 98 m
W = 1/2 de longitud
Ancho = 1/2 (98)
= 49
Por lo tanto, el perímetro =
2 (largo + ancho) m
= 2 (98 + 49) m
= 2 (147) m
= 294 m
4)
El parque es de forma rectangular.
Longitud = 45 m
Ancho = 38.000 mm
Convertir mm en m
1 milímetro = 0,001 metro
38.000 milímetro =
38.000 × 0,001 metros
= 38 metros (38 m)
La distancia alrededor del parque = perímetro del parque
Perímetro = 2 (L + W)
= 2 (45 + 38)
= 2 (83)
= 166 m
Distancia alrededor del parque una vez = 166 m
Pero nos dijeron que dio la vuelta al parque 2 veces, por lo tanto, la distancia que recorrió = 166 m × 2
= 332m
WILL GIVE BRAINLIEST!
Yohan Blake ran the 2012 Olympic 200-meter race in 19.44 seconds. Compare his speed in that race to his speed in the 100-meter race, which he finished in 9.75 seconds. Round to the nearest hundredth.
A: 10.29 meters per second and 10.26 meters per second
A: 10.49 meters per second and 10.36 meters per second
A: 10.59 meters per second and 10.46 meters per second
A: 10.69 meters per second and 10.56 meters per second
Answer:10.29 meters per second and 10.26 meters per secon
Step-by-step explanation:
i know
Answer:
a the first one
Step-by-step explanation:
right on edge2020
Give reasons of Mass
Answer:
Hope this helps
Step-by-step explanation:
When new substances are produced in a reaction we say a chemical change has occurred. These changes are very difficult, sometimes impossible, to reverse.
Atoms are not created or destroyed in a chemical reaction, they are just rearranged from the reactants to form the products. This is the reason why symbol equations must be balanced.
If a chemical reaction is completed in a closed system (when nothing extra can get in and nothing can escape), then the mass will remain constant. But, if the chemical reaction happens in an open system (where air can get in and out), then mass may appear to change.
In this simulation we will explore the mass changes in chemical reactions and endeavour to explain why they have occurred.
Answer:
Mass is both a property of a physical body and a measure of its resistance to acceleration when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies. The basic SI unit of mass is the kilogram.
four investors lost 24percent their combined investment in a company on average how much did each investor lose
Answer:
each investor lost 6 %
Step-by-step explanation:
24/4 = 6 %
The required average loss by an individual investor is 6%.
Given that,
four investors lost 24% of their combined investment in a company on average how much did each investor lose is to be determined.
Average of the values is the ratio of the total sum of values to the number of values.
What is simplification?The operation and interpretation of a mathematical function to make it simpler or easier to grasp is called simplification, and the process is known as simplification.
Here,
Total lost = 24%
Total investors = 4
Average = total lost / total investors
Average = 24 / 4 = 6%
Thus, the required average loss by an individual investor is 6%.
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the slope of the line below is 0.8. write the equation of the line in the point slope form using the coordinates of the labeled point (-2-3)
Answer:
y + 3 = 0.8(x + 2)
Step-by-step explanation:
Slope of line m = 0.8
[tex] (-2,\:-3)=(x_1,\:\y_1) [/tex]
Equation of line in slope point form is given as:
[tex]y - y_1 = m(x - x_1) \\ \\ y - ( - 3) = 0.8 \{x - ( - 2) \} \\ \\ y + 3 = 0.8(x + 2) \\ this \: is \: the \: equation \: of \: line \: in \: point \: \\ slope \: form \\ [/tex]
Tony is driving on a highway. He uses one gallon of gas every 20 miles he drives. The distance, D (in miles), he travels on g gallons of gas is given by the
following:
D = 20g
How far does Tony drive if he uses 4 gallons of gas?
what does this even mean
if you were to graph the inequality would the circle be open or closed?
x > 45
Answer:
The "circle" you are referring to is only for inequality graphing.
A closed circle means that the "circle" is less than or greater than AND EQUAL TO wherever that point is on the graph.
A open circle means that the "circle" is less than or greater than wherever it is on the graph.
For your example,
X > 45 would be an open circle, because the alligator doesn't have an underline indicating it is also equal to 45.
The alligator indicates the direction and whether it also includes "equal to".
An example of a closed circle is this.
[tex]x \geq 45[/tex]; the line below the alligator indicates that it is also equal to 45.
Which mixed number is represented by the shaded
area? 2 2/5, 2 3/5, 2 2/3, 2 3/2?
Answer:
2 3/5
Step-by-step explanation:
Four times the difference of five and a number is eight
Answer:
The number is 7
Step-by-step explanation:
4 times 2 is 8, and 7-5 is two.
In a recent year, the annual salary of the Governor of New York was $179,000. During the same year, the annual salary of the governor of Tennessee was $94,000 less. Write and solve an equation to find the annual salary of the Governor of Tennessee (y) in that year
Answer:
179,000-94,000=y y=85,000
A survey of a company's employees explored the relationship between employee status and support of a new workplace safety policy. The results are displayed in the following two-way frequency table.
Workplace Safety Policy
For Against Total
Part-Time Employee 20 60 80
Full-Time Employee 100 20 120
Total 120 80 200
Based on the table above, which of the following statements are true?
There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy.
There are more employees for the workplace safety policy than against the workplace safety policy.
There is an equal number of part-time employees and full-time employees.
There are more part-time employees against the workplace safety policy than for the workplace safety policy.
A.
II and IV
B.
I and II
C.
II and III
D.
I and IV
Answer:
The answer is C. Two and three
Sherman has 4 cats and 1 dog. He wants to buy a toy for each of his pets. Sherman has $46 to spend on
pet toys. How much can he spend on each pet? Enter the answer as a fraction in simplest form and then
as an amount in dollars and cents.
Sherman can spend (blank)
written as a fraction.
In dollars and cents, he can spend $ (blank)
on each pet.
Answer:
spend 8 bucks on cats then left over for the dog
Step-by-step explanation:
Country A produces eight times the amount of diamonds in carats produced in country B. If the total produced in both countries is 9,000,000 carats, find the amount produced in EACH country
Answer:
A=8,000,000
B=1,000,000
Step-by-step explanation:
A=8B
A+B=9,000,000
8B(because A=8B)+B=9,000,000
9B=9,000,000
B=1,000,000
A=8*B=8*1,000,000=8,000,000
question 2 please help!!!!
hi can you please help me
Answer:
x = 25
y = 21
Step-by-step explanation:
4x + 10 + 3x - 5 = 180° because these two angles makes a straight line
7x + 5 = 180° subtract 5 from both sides
7x = 175° divide by 7
x = 25
2y + 28 + 4y + 26 = 180° because the sum of these angles is equal to a straight line's measure
6y + 54 = 180° subtract 54 from both sides
6y = 126 divide both sides by 6
y = 21
Please help me. Thnx
Answer:
-2.42, -0.8, 0.33, 1.23
Step-by-step explanation:
