Kate is one year and six months younger than her sister. If her sister is 14 years and 2 months old,
how old is Kate?
A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is filled to three-quarters of its height, what is the volume of the gas in the container, to the nearest tenth of a cubic inch.
Answer:
150.9 cubic inches
Step-by-step explanation:
volume of he gas = volume of a cone x 3/4
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
h = height
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
8/2 = 4 inches
1/3 (22/7 x 4^2 x 12) = 201.142857 in^3
volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
How would you evaluate this?
Answer:
28
Step-by-step explanation:
Im from the long comment this is the answer
576+b^2=900
b^2=324
√324
b= 18
so 18+10 = 28
A scale drawing of a building needs to be made using the scale 1 in = 200 ft. How tall will the building in the scale drawing be if the building is 2000 ft tall?
The height of the building in the scale drawing will be in. (Simplify your answer.)
Enter your answer in the answer box and then click Check Answer.
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Look at the graph what type of transformation has occurred
what is the unknown fraction 2/10 +__=67/100
No links please
The sum of two numbers is 147. The difference of the two numbers is 25.
What are the two numbers? Show your work.
56 magazines to 35 books
Answer:5:3
Step-by-step explanation:
Answer:
Mango is the answer
Step-by-step explanation:
A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1100 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?
Answer:
Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.
Step-by-step explanation:
fuel efficiency = distance in miles/gallons of gas
fuel efficiency * gallons of gas = distance in miles
Car 1: 20 mpg
Car 2: 40 mpg
Total miles: 1100
Miles of Car 1: x
Miles of Car 2: 1100 - x
Total gallons: 35
Gallons for Car 1: y
Gallons for Car 2: 35 - y
Car 1:
fuel efficiency * gallons of gas = distance in miles
20 * y = x
Car 2:
fuel efficiency * gallons of gas = distance in miles
40 * (35 - y) = 1100 - x
20y = x
1400 - 40y = 1100 - x
20y = x
x = 40y - 300
40y - 300 = 20y
20y = 300
y = 15
35 - y = 35 - 15 = 20
Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.
Three people take 2 hours to deliver leaflets to 270 houses.
Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver
leaflets to 405 houses?
Give your answer in hours and minutes
Answer:
1 hour and 48 minutes
Step-by-step explanation:
270/2 hours = 135 per hour for 3 people
135/3 people = 45, so each person delivers 45 per hour
45 x 5 people =225 per hour
405/225 = 1.8 hours
It will take 1.8 hours for five people to deliver leaflets to 405 houses.
Given that, 3 people take 2 hours to deliver leaflets to 270 houses.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here,
270/2 hours = 135 leaflets per hour for 3 people
135/3 people = 45, so each person delivers 45 leaflets per hour
45 x 5 people =225 per hour
405/225 = 1.8 hours
Hence, it will take 1.8 hours for five people to deliver leaflets to 405 houses.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Determine the missing length. Show your work!
Answer:
15
Step-by-step explanation:
Pythagorean theorem: the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
C = the square root of A squared + B squared.
plug in the numbers
C = the square root of 9 squared + 12 squared = 15
Answer:
15
Step-by-step explanation:
[tex] {9}^{2} + {12}^{2} = c ^{2} \\ 81 + 144 = {c}^{2} \\ 225 = {c}^{2} \\ \sqrt{225} = c \\ \sqrt{225} = 15[/tex]
What are the factors of the product represented below?
A. (3x + 1) (2x + 2)
B. (3x^3 + 2)(3x^3 + 2)
C. (3x + 1x)(3x + 2)
D. (3x + 2)(3x + 1)
Answer:
D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If f(x)=5x0+4x-3 then f(a)=
Answer:
f=
1
/4
y+
−1
/2
Step-by-step explanation:
Let's solve for f.
y=5x^0+4x−3
Step 1: Flip the equation.
4x+2=y
Step 2: Add -2 to both sides.
4x+2+−2=y+−2
4x=y−2
Step 3: Divide both sides by 4.
4x
/4
=
y−2
/4
x=
1
/4
y+
−1
/2
=f=
1
/4
y+
−1
/2
brainliest please?Find the area of the given figure. Show your work!
what is the minus 60 plus 40 =x plus y= x+9
60+40=x
y=x+9
MInus
x=100
y=109
Diffrence 9
Answer:
x = -20
y = -11
A monkey weighs 8.2 kilograms. How many grams does the monkey weigh? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.
Answer:
m = 8.2 × 10³ grams
Step-by-step explanation:
Given that,
The weight of a monkey = 8.2 kilograms.
We need to convert its mass from kilograms to grams.
We know that,
1 kg = 1000 grams
or
1 kg = 10³ grams
In 8.2 kg,
8.2 kg = 8.2 × 10³ grams
Hence, the weight of the monkey is equal to 8.2 × 10³ grams.
Please help with this math question asap
Answer:
150
Step-by-step explanation:
us I'd send bag I'd send veg svdudhvgdkdbdbdudduddh
Samuel drove 84 miles in 6 hours. How far can he drive in 6 hours?
Answer:
the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it
Step-by-step explanation:
Answer:
84 miles
Step-by-step explanation:
Solve for u. Show all work, be sure to use the equation editor.
Help will mark brainliest
Answer:
u = 2√3 ≈ 3.46410162
Step-by-step explanation:
Because this is a right triangle, you can use the trigonometric formulas:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
Here, we have the measure of an angle, 60°. Side u is opposite to it and the hypotenuse, 4, is given. We can use these numbers to work with:
sine = opposite side/hypotenuse
sin(60) = u/4
sin(60)/1 = u/4
Cross multiply:
u = 4 (sin(60))
Input into calculator:
u = 2√3 ≈ 3.46410162
find the area of each circle (use pi =3.14)
16mm
Answer:
200.96
803.84
Step-by-step explanation:
I wasn't sure if 16mm was the radius or diameter. If it's the diameter then use the first answer. If it was the radius then use the second answer.
In order to find the area of a circle use equation
[tex]A=\pi r^2[/tex]
r = radius, which is half of the line along the circle. If you have the diameter simply divide it by two and you have the radius.
Find the GCF of each pair of monomials.
48t, 60st
Answer:
The GCF is 12t
Step-by-step explanation:
Here, we want to calculate the greatest common factor of the given polynomials
To do this, we need to write each as the product of its prime factors
We have this as;
48t = 2 * 2 * 2 * 2 * 3 * t
60st = 2 * 2 * 3 * 5 * s * t
we then bring out pairs of similar terms
So the GCF would be;
2 * 2 * 3 * t = 12t
2. Antonio dispone de un capital de $9,000.00
en una cuenta al 4% de interés anual y o
sabiendo que el capital acumulado al cab
one de un capital de $9,000.00 dólares, del que una parte la deposita
enta al 4% de interés anual y otra al 5% anual. Calcula ambas partes
que el capital acumulado al cabo de un año es de $9,400.00 dólares.
Answer:
La respuesta al ejercicio es:
$4,000.00 al 5% anual.$5,000.00 al 4% anual.Step-by-step explanation:
Teniendo en cuenta que el capital inicial es de $9,000.00 y el capital tras un año es de $9,400.00, se identifica en primera instancia que la ganancia gracias al interés anual fue de $400, por lo cual se pueden tener en cuenta las siguientes variables:
x = monto de dinero al 5% anual.y = monto de dinero al 4% anual.Y el siguiente sistema de ecuaciones:
x + y = 9000x * 5% + y * 4% = 400En la segunda ecuación, cambiaremos los porcentajes para facilitar los cálculos posteriores:
2. x * 0.05 + y * 0.04 = 400
Lo cual también se puede representar como:
2. 0.05x + 0.04y = 400
Procedemos a despejar una variable, en este caso despejaré la variable y de la primera ecuación:
x + y = 9000y = 9000 - xY la reemplazaré en la segunda ecuación:
0.05x + 0.04y = 4000.05x + 0.04 (9000 - x) = 400Ahora operamos:
0.05x + 360 - 0.04x = 400Restamos las variables x:
0.01x + 360 = 400Y despejamos el valor real de x:
0.01x = 400 - 360x = 40 / 0.01x = 4000Ya que x es el monto de dinero puesto al 5% anual, ahora sabemos que dicho monto fue $4,000.00, por último, reemplazamos este valor en la primera ecuación para identificar el valor de y:
x + y = 90004000 + y = 9000y = 9000 - 4000y = 5000Por último, sabemos que el monto de dinero puesto al 4% fue $5,000.00.
ENGAGEMENT: Is This Enough?
Solomon thinks that this figure has enough information to figure out the values of
a and b.
90°
a
7
Do you agree? Explain your reasoning,
Answer:
Step-by-step explanation:
What is the growth or slope of the simplified equation? NEED ANSWER ASAP
Answer:
Slope is 5.
Step-by-step explanation:
y + 3x = 8x -7
y = 5x - 7
coefficient in front of x is the slope/rate of change once you get the equation slope intercept for y = mx + b. m is the slope.
An art teacher makes a batch of purple paint by mixing 34 cup red paint with 34 cup blue paint. If she mixes 13 batches, how many cups of purple paint will she have?
Answer: 19 and 1/2 cups
Step-by-step explanation:
write out the problem then do 3/4 then multiply by 13. Next, multiply the answer by 2.
Hope this helps!
find the solution of given expression
[tex] \sqrt{98 \times 2} [/tex]
Answer:
solution:
[tex] \sqrt{98 \times 2} [/tex]=[tex] \sqrt{196} [/tex]=[tex] \sqrt{14²} [/tex]=±14 is your answer
Answer:
[tex]\sqrt{98\cdot \:2}[/tex]
[tex]=\sqrt{196}[/tex]
[tex]=\sqrt{14^2}[/tex]
[tex]=14[/tex]
OAmalOHopeO
Help me, please !!!!!
Answer: 100
Hi!
ok so the Pythagorean theorem is
[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 8^2+6^2=10[/tex]
so the other side is 10.
the square 8 is 8*8
and square 6 is 6*6
so the other square is 10*10=100.
so the area of the blank square is 100.
Step-by-step explanation:
Can I have brainliest?
Thanks!
Have a nice day!
Mr. Smith ordered 27 boxes of baseballs. There were 30 baseballs in each box. How many baseballs did Mr. Smith order?
Answer:
27x30=810
Step-by-step explanation:
Answer: Mr.Smith ordered 810 baseballs
Step-by-step explanation:
To find the answer we need to:
1) Since, we know that Mr.Smith ordered 27 boxes and 30 baseball are in each of them. We need to multiply.
27 x 30 = 810
name some jobs that include math on a daily bases.
Answer:
Statisticians and Mathematicians. Statisticians use math on a daily basis. ...
Engineers and Architects. Correct use of math is a critical skill for engineers and architects to ensure that the buildings and structures they build are safe.
Healthcare Professionals. ...
Cryptographers. ...
Programmers and Designers. ...
Scientists. ...
Step-by-step explanation:
11 (6 - y) = ??
THANK YOUUU
Answer:
The Answer is gonna be 66-11y
EXPLANATION :
11 (6 - y)
11x6=66
11(y)=11y
So we will get 66-11y