Answer:
11
Step-by-step explanation:
g(x) = 2x + 7
Put x as 2 and evaluate.
g(2) = 2(2) + 7
Multiply.
g(2) = 4 + 7
Add the terms.
g(2) = 11
100 were students interviewed, 28 took PE, 31 took bio, 42 took English, 9 took PE and biology, 10 took PE and english, 4 took all three subjects.
(1) how many students took none of the three subjects.
(2) how many students took PE, but not biology or English.
(3) how many students took biology and PE but no English.
I’ll give you brainliest!!!! What is the slope of the line containing (-4.3) and (2,-1)
Answer:
D
Step-by-step explanation:
The difference in the x is 6
The difference in the y is -4
-4/6 = -2/3
Answer:
-2/3
Step-by-step explanation:
The slope of a line when given two points is found by
m= (y2-y1)/(x2-x1)
= (-1 -3)/(2 - -4)
= (-4)/(2+4)
= -4/6
-2/3
A standard six-sided die is thrown. What is the probability that the number
that comes up is less than or equal to 2?
Answer:
2/6 or 1/3
Step-by-step explanation:
There are two numbers who are equal or less than 2 its 1 and 2
And the total is 6 so its 2/6 which is 1/3
Sorry if this is late
Answer:
0.33
Step-by-step explanation:
If someone could help me with it would be greatly appreciated. A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 60% salt and Solution B is 85% salt. She wants to obtain 40 ounces of a mixture that is 70% salt. How many ounces of each solution should she use?
Answer:
16 for Sol A and 24 for Sol B
Step-by-step explanation:
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
x + y = 40 y = 40 - x
.60x + .85y = .75(40)
.60x + .85y = 30 Multiply both sides of the equation by 100 to remove the decimal points.
60x + 85y = 3000
60x + 85(40 - x) = 3000
60x + 3400 - 85x = 3000
-25x = -400
x = 16 ounces
y = 40 - 16
y = 24 ounces
using the order of operation which should be done first to evaluate 6+(-5-7)/2-8(3)?
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
=> [tex]\frac{6+(-5-7)}{2-8(3)}[/tex]
=> [tex]\frac{6+(-12)}{2-24}[/tex]
=> [tex]\frac{6-12}{-22}[/tex]
=> [tex]\frac{-6}{-22}[/tex]
=> [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
he is talking about the edg question so for the 4 answers its A subtract 7 from-5 B multiply 8 and 3 C devide 7 by 2 D add 6 and -5
_______ natural numbers are whole numbers. 1.) Some 2.) All 3.) No
Answer:
All
Step-by-step explanation:
Whole numbers are numbers 0 to infinity.
Natural numbers are numbers 1 to infinity.
So, your answer is all.
A car travels at the speed x + 30 kilometers in one hour, where x is an unknown. Find x if this car covers 300 kilometers in 3 hours?
Answer:
[tex]x=70[/tex]
Step-by-step explanation:
We know that the car travels at speed [tex]x+30[/tex] per hour. Thus, after [tex]h[/tex] hours, it will have traveled [tex]h(x+30)[/tex] kilometres.
We are given that it traveled 300 kilometres after 3 hours. So, we have...
[tex]300=3(x+30)[/tex]
[tex]100=x+30[/tex]
[tex]x=70[/tex]
BRAINLIEST!!!!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST!!!BRAINLIEST!!!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST !!!!!!!
Answer:
answer C
Step-by-step explanation:
[tex]3x^2-4x-8 + (6x^2+2x-3) = 3x^2-4x-8+6x^2+2x-3=9x^2-2x-11[/tex]
so the correct answer is the C
hope this helps
Answer:
C.
Step-by-step explanation:
= 3x²-4x-8+6x²+2x-3
= 3x²+6x²-4x+2x-8-3
= 9x²-2x-11
Is 4/10 bigger than 4/100
Answer:
Yes
Step-by-step explanation:
4/10 = 0.4
4/100 = 0.04
0.4 > 0.04
Therefore the answer is yes
Answer:
Yes See if you get 4 are out of 10 it will be big than 4 out of 100
Step-by-step explanation:
Hope this helps
The Baker family is traveling a total of 1,045 miles from their home to Florida for a summer vacation. They traveled 409 miles on Saturday, and 239 miles on Sunday. How many more miles do they have to travel to arrive in Florida? A. 397 miles B. 648 miles C. 697 miles D. 1,603 miles
Answer: A. 397 miles
Step-by-step explanation:
Add the miles traveled on Saturday and Sunday to find out how many miles were traveled in total.
409 + 239 = 648
Now, subtract the total number of miles traveled from the original distance.
1,045 - 648 = 397
Answer:
397
Step-by-step explanation:
To figure this out, you just minus how much they have already traveled by the total distance they need to travel. To solve it, you can add together 409+239=648. Then, you take 648 and minus that from 1045. And so, 1045-648=397
Type the correct answer in each box. Round your answers to the nearest whole number. Solve this system of equations using the elimination method. 3x − 2y = 0 2x + y = 7 The solution to the system is ( , ).
Answer:
( 2,3 )
x =2 , y = 3
Step-by-step explanation:
In elimination method of solving linear equation, steps are involved to eliminate one of the variables so that value of other can be deduced.
In this method we either subtract or add one of the variable which has the same coefficient in the both of the equation, so that it can be removed from equation.
___________________________________________________
Given system of linear equation
3x − 2y = 0 (1)
2x + y = 7 (2)
Let eliminate y to find x
as we can see equation has 1 as coefficient for y but in equation 2 y has coefficient as 1.
In order to make coefficient of y same as 2, we multiply LHS and RHS of equation 2 with 2.
( 2x + y )*2= 7 *2
=>2x *2+ y*2= 7 *2
=> 4x + 2y = 14 let it be equation 3
Adding equation 1 and 3
3x − 2y = 0
+4x + 2y = 14
_____________________________ -2 y + 2y = 0 (y gets eliminated)
7x = 14
=> x = 14/7 = 2
Thus, x = 2
using x = 2 in 2x + y = 2
2*2 + y= 7
=> 4 + y = 7
=> y = 7 - 4 = 3
\
Thus, The solution to the system is ( 2,3 ).
Answer:
Here are the steps
Step-by-step explanation:
Given the line of best fit for a set of data points with the equation y=5x-2.5, what is the residual for the point (3,6)?
========================================================
Explanation:
For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).
The predicted y value is found by plugging x = 3 into the line of best fit equation
y = 5x-2.5
y = 5(3)-2.5
y = 12.5
The residual is the difference between the two y values
e = residual
e = (observed y value) - (predicted y value)
e = 6 - 12.5
e = -6.5
The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.
Which linear inequality is represented by the graph
Answer:
y≤ 2/3x+1/5
Step-by-step explanation:
y≤ 2/3x+1/5
I NEED HELP PLEASE, THANKS! :)
Hey there! :)
Answer:
First option: As x⇒ ∞ f(x) ⇒ -∞. As x⇒ -∞ f(x) ⇒ ∞.
Step-by-step explanation:
Rearrange the equation:
f(x) = -x³ - 2x² + 1
This is a negative cubic function. The function decreases over the interval
(-∞, ∞). Therefore:
As x⇒ ∞ f(x) ⇒ -∞.
As x⇒ -∞ f(x) ⇒ ∞.
This is the first option.
Radius OB measures x units. Which expression represents
the circumference of the smaller circle with radius OA?
of
olex units
(x units
021x units
0 6ux units
Answer:
Circumference of the smaller circle = 2.1x units
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?
Radius of the larger circle OB = x units
Radius of the smaller circle OA = y units
Circumference of larger circle = 2πx units
Circumference of smaller circle = 2πy units
Since circumference of larger circle is 3 times the circumference of smaller circle,
2πx = 3(2πy)
2πx = 6πy
x = 3y
y = [tex]\frac{x}{3}[/tex]
Therefore, circumference of the smaller circle = [tex]2\pi (\frac{x}{3})[/tex] units
= [tex]\frac{2\pi x}{3}[/tex] units
= 2.094x
≈ 2.1x
Circumference of the smaller circle circle = 2.1x units
what is the nth term rule of the linear sequence below 15, 7, -1, -9, -17
Answer:
8n+7
Step-by-step explanation:
Which value would make the statement true?
The climbing wall at Henry's gym has a lower section that is 5,224 centimeters tall and an upper section that is 8,880 centimeters tall. How tall are both sections of the climbing wall in all?
Answer:
14,104 centimeters
Step-by-step explanation:
This equation is asking for the total height of the wall in centimeters. Given that it gives you both sections of the wall, we will want to add them together to find our total.
5,224 + 8,880 = 14,104
A square has a side that measures 2.75 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 94.99 units2 23.75 units2 9.62 units2 38.47 units2
Answer:
The area of a circle with a circumference that equals the perimeter of the square is 9.62 units²
Step-by-step explanation:
The first thing we must do is find the perimeter of the square. In the problem, we are given that one of the side measurements of the square is 2.75 units. In order to find the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.
2.75 × 4 = 11
So, the perimeter of the square is 11 units. This number will also be the number for the circumference of the circle as mentioned in the problem. So, the circumference of the circle is 11 units. Now, we must find the radius of the circle so we can find the area. Let's use the formula for finding radius given the circumference.
[tex]Radius = \frac{circumference}{2\pi}[/tex]
Now, let;s plug in 11 for the circumference because our circumference is 11 units.
[tex]Radius=\frac{11}{2\pi}[/tex]
Multiply 2 by pi. We will use 3.14 in replacement of pi.
[tex]Radius=\frac{11}{6.28}[/tex]
Now, divide.
[tex]Radius=1.75[/tex]
So, our radius is 1.75 units. We can know use this number to find the area of the circle.
[tex]Area=r^2\pi[/tex]
Plug in 1.75 for the radius.
[tex]Area=(1.75)^2\pi[/tex]
Simplify the exponent.
[tex]Area=(3.0625)\pi[/tex]
Multiply the numbers.
[tex]Area=9.61625[/tex]
Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.
9.61625 = 9.62
So, the area of the circle is 9.62 units²
Answer:
9.62
Step-by-step explanation:
Got it on the test
what have i done wrong on question A & B
Answer:
You have forgotten to say whether it is am or pm
Step-by-step explanation:
Answer:
Question 1:
A) 12:45 pm
B) 7 : 30 pm
Question 2:
A) 20 15
B) 00 00
(England,
Wales, Non-
UK 8 (60
minutes)
In the diagram, PQRS, JQK and LRK are straight lines
Р
J
2yº|
Q
xo
K
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Question 10
Question 11
M
33°
vo
270/R
L
S
Question 12
Question 13
What is the size of the angle JKL?
Answer:
∠JKL = 38°
Step-by-step explanation:
PQRS, JQK and LRK are straight lines
Let's take the straight lines in the diagrams one after the other to find what they consist.
The related diagram can be found at brainly (question ID: 18713345)
Find attached the diagram used for solving the question.
For straight line PQRS,
2x°+y°+x°+2y° = 180°
(Sum of angles on a Straight line = 180°)
Collect like terms
3x° + 3y° = 180°
Also straight line PQRS = straight line PQR + straight line SRQ
For straight line PQR,
2y + x + ∠RQM = 180° ....equation 1
For straight line SRQ,
2x + y + ∠MRQ = 180° ....equation 2
Straight line PQRS = addition of equation 1 and 2
By collecting like times
3x +3y + ∠RQM + ∠MRQ = 360°....equation 3
Given ∠QMR = 33°
∠RQM + ∠MRQ + ∠QMR = 180° (sum of angles in a triangle)
∠RQM + ∠MRQ + 33° = 180°
∠RQM + ∠MRQ = 180-33
∠RQM + ∠MRQ = 147° ...equation 4
Insert equation 4 in 3
3x° +3y° + 147° = 360°
3x +3y = 360 - 147
3x +3y = 213
3(x+y) = 3(71)
x+y = 71°
∠JQP = ∠RQK = 2y° (vertical angles are equal)
∠LRS = ∠QRK = 2x° (vertical angles are equal)
∠QRK + ∠RQK + ∠QKR = 180° (sum of angles in a triangle)
2x+2y + ∠QKR = 180
2(x+y) + ∠QKR = 180
2(71) + ∠QKR = 180
142 + ∠QKR = 180
∠QKR = 180 - 142
∠QKR = 38°
∠JKL = ∠QKR = 38°
Answer:
∠JKL = 38°
Step-by-step explanation:
I did the question in class today!
Tengo 5 cubos de colores. Uno rojo, uno amarillo, uno verde, uno azul claro y uno azul oscuro. ¿De cuántas formas puedo organizar los 5 cubos en una columna en la que los dos cubos azules no se toquen entre sí?
Answer:
72 formas
Step-by-step explanation:
Primero vamos a calcular de cuántas formas se puede organizar los 5 cubos en una columna utilizando la regla de la multiplicación:
5 * 4 * 3 * 2 * 1 = 120
Porque tenemos 5 cubos para poner en la base de la columna, luego 4 cubos para la segunda posición de la columna, luego 3 cubos y así hasta organizar todos los cubos.
Luego vamos a calcular de cuántas formas podemos organizar los 5 cubos de tal forma que los cubos azules se toquen entre sí. Para esto vamos a contar los dos cubos azules como si fueran uno solo, es decir, sólo tendríamos "4 cubos" y podríamos organizar los cubos de 24 formas distintas:
4 * 3 * 2 * 1 = 24
Por otro lado, los 2 cubos azules pueden ser organizados de dos formas diferentes: primero el claro y luego el oscuro o primero el oscuro y luego el claro.
Es decir que hay 24 formas distintas de organizar los cubos en donde primero va el claro y luego el oscuro y hay 24 formas de organizar los cubos en donde primero va el oscuro y luego el claro.
Esto significa que de las 120 formas de organizar los 5 cubos, 48 formas tienen los cubos azules juntos y en 72 (120-48) formas los dos cubos azules no se tocan entre sí.
Find the area of a rectangle with base 4 ft and height 4 in. (Note: 1 ft = 12 in.) 192 in2 88 in2 16 in2 104 in2
Answer: 192 in²
Step-by-step explanation:
The area of a rectangle is to multiply the length and the width, or the base and height. Since we are given the base and the height, we can multiply them to find the area. Since the units are different between the height and base, we need to make sure to have the height be 48 in.
A=4×48=192 in²
The hypotenuse of a 45°-45°-90° triangle measures 18 cm.
A right triangle is shown. The other 2 angle measures are 45 degrees. The length of the hypotenuse is 18 centimeters.
What is the length of one leg of the triangle?
Answer:
Length of leg of triangle = [tex]9\sqrt2\ cm[/tex]
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
[tex]\angle XYZ =90^\circ\\\angle YXZ =45^\circ\\\angle ZXY =45^\circ\\\\Hypotenuse, XZ = 18 cm[/tex]
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]
Putting the values:
[tex]\text{XZ}^{2} = \text{YZ}^{2} + \text{XY}^{2}\\\Rightarrow 18^2 = x^{2} +x^{2} \\\Rightarrow 2x^{2} = 18^2\\\Rightarrow 2x^{2} = 324\\\Rightarrow x^{2} = 162\\\Rightarrow x = \sqrt{2 \times 81}\\\Rightarrow x = 9\sqrt2\ cm[/tex]
So, the length of leg of triangle = [tex]9\sqrt2\ cm[/tex]
Answer:
answer is B 9 root 2 cm
Step-by-step explanation:
got it right on edg 2020-2021
a
mm.
Q8 Given that the radius of Mars is
approximtaely 3.4 x 10cubed KM.
Calculate its volume.
Give your answer correct to 3 significant
figures.
Answer:
V = 4.84 × 10⁷ km³
Step-by-step explanation:
Volume of Sphere = [tex]\frac{4}{3}\pi r^3[/tex]
Where r = 3400 km
V = [tex]\frac{4}{3} (3.14)(3400)^3[/tex]
V = (4)(3.14)(11,560,000)/3
V = 48,422,415 km³
Upto 3 sfs:
V = 4.84 × 10⁷ km³
A square has a perimeter of 12x + 52 units . Which expression represents the side length of the square in units?
Answer:
3x+13
Step-by-step explanation:
Perimeter of square = 4 * length
Length = Perimeter/4
Length = (12x + 52)/4
Length = 3x+13
Which of the following sets represent the range of the diagram below?
Answer:
D. {3, 5, 7}.
Step-by-step explanation:
The range is the set of output values.
It's {3, 5, 7}.
The range of the set ={1,2,3,4,5} is option D which is {3,5,7}.
What is range of a set?
The range of a set is the values which are coming when we put the values of a set in a function.
How to find the range?
We are given the diagram in which the values are 1,2,3,4,5 from which arrows touching 3,5,6. So the domain of the function is 1,2,3,4,5 and the range is 3,5,7.
Hence the range of the set is option D which is {3,5,7}.
Learn more about range at https://brainly.com/question/2264373
#SPJ2
Trapezoid ABCD is graphed in a coordinate plane.
What the area of the trapezoid?
16 square units
24 square units
32 square units
48 square units
Answer: 24 square units
Step-by-step explanation:
The Area of a trapezoid is:
1/2 (a + b) h
Where ;
a = Length of base 1
b = length of base 2
h = height of trapezium
From the diagram attached :
a = Length of BC =(-1 to 3) =4units
b = length of AD =(-3 to 5) = 8 units
h = (-2 to 2) = 4 units
Plugging the values :
Area = 1/2 ((4 + 8)2)
Area = 0.5 × (12) × 4 = 12
Area = 6 × 4 = 24square units
will works 6 days a week mum
Answer:
Step-by-step explanation:
Adam had some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among his children. Write an expression for how many pieces each child received.
Answer: The expression is (c-7) / 3
Step-by-step explanation:
Let's say Adam has c pieces of candy
He took seven pieces for himself which means we can write this as c-7
He then divided this amount between his 3 children (c-7)/3