Answer:
First, in order to subtract these two fractions you must convert it into improper fractions. For the first one, we can convert it by multiplying the denominator by the whole and adding the numerator which would give you 196/8 for the first one and 157/8 for the second one. This equation would now set up as 196/8-157/8 which would be 39/8 and since you need to convert it back into a mixed fraction we need to know how many times 8 can go into 39 which is 4 so 32 and a remainder of 7. Your answer would be 4 7/8
Step-by-step explanation:
A circle has an area of in2. If it is dilated by a scale factor of 5/4, what is the area after dilation
The question is incomplete, let's take an hypothetical value for the Area of the circle ;
Let the are aid the circle = x in²
Answer:
Kindly check explanation
Step-by-step explanation:
The scale factor = 5/4
The initial area of square = x in²
The area of the circle after dilation will be :
Scale factor * initial area of circle
5/4 * x in²
Area after dilation = 5/4(x) in²
Just substitute the original value of the square for X in the solution to obtain the exact answer.
2. A quadratic function has a vertex at (3,-10) and passes through the point (0,8).
Which of the following equations best represents the function?
F.y = 2(x + 3)^2 + 8
G.y = 2(x + 3)^2 - 10
H. y = (x - 3)^2 - 10
J.y = 2(x - 3)^2 - 10
Given:
Vertex of a quadratic function is at (3,-10).
The quadratic function passes through the point (0,8).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where, (h,k) is vertex and a is a constant.
Vertex of a quadratic function is at (3,-10). So, [tex]h=3,k=-10[/tex].
[tex]y=a(x-3)^2+(-10)[/tex]
[tex]y=a(x-3)^2-10[/tex] ...(ii)
The quadratic function passes through the point (0,8).
Putting [tex]x=0,y=8[/tex] in (ii), we get
[tex]8=a(0-3)^2-10[/tex]
[tex]8+10=a(-3)^2[/tex]
[tex]18=9a[/tex]
Divide both sides by 9.
[tex]2=a[/tex]
Putting [tex]a=2[/tex] in (ii), we get
[tex]y=2(x-3)^2-10[/tex]
Therefore, the correct option is J.
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:
One card is drawn from a standard 52-card deck and then replaced, and then a second
card is drawn. What is the probability that the first card is a red 8 and the second is a
black 10?
Answer:
1/676
Step-by-step explanation:
In a deck of cards there are 2 red 8's ( 8 of diamonds and 8 of hearts)
P( red 8) = number of red 8's/ total
= 2/52 = 1/26
Then we put the card back so there are still 52 cards
In a deck of cards there are 2 black 10's ( 10 of spades and 10 of clubs)
P( black) = number of black 10's/ total
= 2/52 = 1/26
Multiply the probabilities together
P( red 8, black 10) = 1/26 * 1/26 = 1 /676
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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Were is the slope-intercept ?
Answer: The slope intercept is at (0,5)
Step-by-step explanation: This is because the line intercepts the y-axis at (0.5).
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.
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?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:
Please help me! Thank you!
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
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
Find the area of the given figure. Show your work!
Look at the graph what type of transformation has occurred
what is the unknown fraction 2/10 +__=67/100
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
Hurry this is due in 45 minutes! I need help
Answer: B
Step-by-step explanation:
18%/38%= about 47%
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
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
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!
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.
56 magazines to 35 books
Answer:5:3
Step-by-step explanation:
Answer:
Mango is the answer
Step-by-step explanation:
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?
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
Please help with this math question asap
Answer:
150
Step-by-step explanation:
us I'd send bag I'd send veg svdudhvgdkdbdbdudduddh
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
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.