Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3?
Missing Part of the Question
3 (4 - y) -7 ; 5 + 3y 9 + y + 4y - 2 - 3y; -2y + 7 5 + y - 2 - 6y + y; 8y + 3 2y + 7 + y - 2 + y; 4y + 5Answer:
2y + 7 + y - 2 + y; 4y + 5Step-by-step explanation:
Given
y = 3
Required
Which pair of expression are equal
To get the pair of expression that are equal; we simply substitute 3 for y in each of the expressions
3 (4 - y) -7 and 5 + 3y
Substitute 3 for y in 3 (4 - y) -7
This gives 3(4 - 3) -7
= 3(1) - 7
= 3 - 7
= -4
Then Substitute 3 for y in 5 + 3y
This gives 5 + 3(3)
= 5 + 9
= 14
-4 and 14 are not equal
---------------------------------------------------------------------------------------
9 + y + 4y - 2 - 3y; -2y + 7
Substitute 3 for y in 9 + y + 4y - 2 - 3y
This gives 9 + 3 + 4(3) - 2 - 3(3)
= 9 + 3 + 12 - 2 - 9
= 13
Then Substitute 3 for y in -2y + 7
This gives -2(3) + 7
= -6 + 7
= 1
13 and 1 are not equal
---------------------------------------------------------------------------------------
5 + y - 2 - 6y + y; 8y + 3
Substitute 3 for y in 5 + y - 2 - 6y + y
This gives 5 + 3 - 2 - 6(3) + 3
= 5 + 3 - 2 - 18 + 3
= -9
Then Substitute 3 for y in 8y + 3
This gives 8(3) + 3
= 24 + 3
= 27
-9 and 27 are not equal
---------------------------------------------------------------------------------------
2y + 7 + y - 2 + y; 4y + 5
Substitute 3 for y in 2y + 7 + y - 2 + y
This gives 2(3) + 7 + 3 - 2 + 3
= 6 + 7 + 3 - 2 + 3
= 17
Then Substitute 3 for y in 4y + 5
This gives 4(3) + 5
= 12 + 5
= 17
17 and 17 are equal
Hence, Option D is correct
Answer: 2y + 7 + y - 2 + y; 4y + 5
Step-by-step explanation: just did it
PLEASE HELP ASAP WILL MARK BRAINLIEST!!
Answer:
The answer is [9, 5, -4, 12]
Step-by-step explanation:
1) distribute the 3 within all the numbers on the right side. 3*2, 3*0, 3*-1, 3*4.
2) your right side should now have the numbers, 6, 0, -3, 12.
3) now add the numbers on the left with the numbers on the right, each should correspond with their place within the box. 3+6, 5+0 -1+-3 0+12
Hope this helps :)
An employee’s hourly raise went up from $10 per hour to $14 per hour. What is the rate of increase?
Answer:
The rate of increase is 40%
14 - 10 = 4
4/10 = 40%
PLEASE HELP ME!!! please asap
Answer:
Mean of the distribution shown in picture:
M = sum of all elements/number of elements
M = (2 + 6 + 4 + 2 + 0 + 1 + 6 + 4 + 2 + 1)/10 = 2.8
=> Option D is correct
(3 is closest number to mean = 2.8)
Hope this helps!
:)
Find the probability of drawing a 8 of Diamonds from a 52-card deck given the deck is properly shuffled.
Answer:
1/52
Step-by-step explanation:
There is only one 8 of diamonds in a deck of 52 cards. The deck is properly shuffled, so every card has an equal probability of being selected. So the probability is 1/52.
Use the correct order of operations to solve the problem below.
14 - 8 + 6 - 10 ÷ 2
A.
17
B.
-5
C.
9
D.
7
Answer:
D
Step-by-step explanation:
parenthesis
exponents
multiply or divide from left to right
add or subtract from left to right
14 - 8 + 6 - 5
6 + 6 - 5
12 - 5
7
Answer:
D. 7
Step-by-step explanation:
PEMDAS
there arent parentheses, exponets or multiplication but the is division
so divide first
14-8+6-5
Next subtract
6+6-5
then subtract from left to right
12-5
7
will mark bianleast
What are the diameter and radius of a circle with a circumference of 32π ft?
d = 32 ft
r = 16 ft
d = 8 ft
r = 16 ft
d = 16 ft
r = 8 ft
d = 16 ft
r = 32 ft
Answer:r=16 ft , d =32 ft (a)
Step-by-step explanation:
c=2 pi r
32pi= 2 x pi x r
r=32 pi/2pi
r= 16
diameter = radius x 2
d= 16 x 2
d = 32
pls help me ou i need to turn this in pls pls
Answer:
3
Step-by-step explanation:
A circle has a circumference of 32.4 mm. Find the radius and the diameter. Round your answers to two decimal places.
5.16 mm; 10.31 mm
10.31 mm; 5.16 mm
5.16 mm; 2.58 mm
2.58 mm; 5.16 mm
Answer:
5.16 mm; 10.31 mm
Step-by-step explanation:
Circumference: [tex]C = 2\pi r[/tex]
So all you do is:
[tex]32.4=2\pi r\\32.4/2\pi = r\\5.16 = r[/tex]
and then the radius is just half of the diameter so
[tex]5.16*2=10.31[/tex]
helppp me its due today
Answer:
66.04
Step-by-step explanation:
0.13 * 508 = 66.04
Answer:
Step-by-step explanation:
508/x=13/100
508*100=50800
50800/3=?
now do that and simplify
The data in the table represents the value of a savings account at the end of each year for 6 years. The relationship between the increasing years and the increasing value of the account is exponential. There israte of change in an exponential relationship. After each year, the value of the account istimes as large as the previous year.
Answer:
1. Constant multiplicative.
2. 1.05.
Step-by-step explanation:
Their savings increase by 1.05x every year.
need this done as soon as possible pls help
Answer:
it should be 1.5 inches.....
Which expression is the factored equivalent of x2 - 5x + 4?
A.
(x - 1)(x - 4)
B.
(x - 3)(x - 1)
C.
(x + 4)(x + 1)
D.
(x + 1)(x - 4)
Answer:
Step-by-step explanation:
A
The factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).
To factor the quadratic expression x² - 5x + 4, we need to find two binomials that, when multiplied, will result in the given expression.
We can start by looking for two numbers whose product is 4 (the constant term) and whose sum is -5 (the coefficient of the x term).
The numbers that satisfy these conditions are -1 and -4, as (-1)(-4) = 4 and -1 + (-4) = -5.
Using these numbers, we can express the quadratic expression as:
x² - 5x + 4 = (x - 1)(x - 4)
Therefore, the factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).
Learn more about quadratic expression click;
https://brainly.com/question/10025464
#SPJ6
A cone has a radius of 11 inches and a height of 4.5 inches what is the volume of the cone use 3.14 for pie round to the nearest 10th
A rectangular prism and a square pyramid were joined to form a composite figure. A rectangular prism with a length of 9 inches, width of 9 inches, and height of 5 inches. A square pyramid with triangular sides with a base of 9 inches and height 4 inches. [Not drawn to Scale] What is the surface area of the figure? 261 in.2 333 in.2 405 in.2 477 in.2
Answer:
The answer is D 477 in.2
Step-by-step explanation:
The surface area of the composite figure is 333 sq. in.
The correct answer is an option (2) 333 in²
What is a pyramid?"It is a three-dimensional geometric shape with a polygon as its base and the lateral surfaces as triangles which meet at a common point."
What is rectangular prism?"It is a three-dimensional geometric structure which has six faces that are rectangles."
What is a composite figure?"A figure that consists of two or more geometric shapes."
Area of rectangle:A = length × width
Area of the triangle:A = 1/2 × base × height
For given example,
A rectangular prism and a square pyramid were joined to form a composite figure.
The composite figure would have nine faces with four triangular faces and five rectangular faces.
Surface area of the composite figure would be the sum of surface area of all nine faces.
The dimensions of the rectangular base the composite figure are length of 9 inches, width of 9 inches.
Using the formula for an area of the rectangle,
⇒ A1 = 9 × 9
⇒ A1 = 81 square inches
The surface area of the larger vertical rectangular faces is same.
So, A2 = 2 × (area of the larger vertical rectangular faces)
The dimensions of the larger vertical rectangular faces 9 inches × 5 inches.
⇒ A2 = 2 × (9 × 5)
⇒ A2 = 2 × 45
⇒ A2 = 90 square inches
Similarly, the surface area of the smaller vertical rectangular faces is same.
So, A3 = 2 × (area of the smaller vertical rectangular faces)
The dimensions of the smaller vertical rectangular faces 9 inches × 5 inches
⇒ A3 = 2 × (9 × 5)
⇒ A3 = 2 × 45
⇒ A3 = 90 square inches
The four triangular faces are identical.
Let A4 be the total surface area of four triangular faces.
⇒ A4 = 4 × (area of triangular face)
⇒ A4 = 4 × (1/2 × base × height)
⇒ A4 = 4 × (1/2 × 9 × 4)
⇒ A4 = 4 × 18
⇒ A4 = 72 square inches
So, the surface area of the composite figure is,
⇒ A = A1 + A2 + A3 + A4
⇒ A = 81 + 90 + 90 + 72
⇒ A = 333 sq. in.
Therefore, the surface area of the composite figure is 333 sq. in.
The correct answer is an option (2) 333 in²
Learn more about pyramid and rectangular prism here:
brainly.com/question/24046619
#SPJ2
The function h represents the?
Answer: B
Step-by-step explanation:
38 height
-16 is the time
Explain the Error. A student said the volume of a cylinder with a 3- inch diameter is two times the volume of a cylinder with the same height and a 1.5 inch radius. What is the error?
Answer:
See explanation
Step-by-step explanation:
Because the formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], when you multiply the radius by 2, the volume increases by [tex]2^2=4[/tex] times. Hope this helps!
Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three rows of four as shown.
12 blocks are in 3 rows of 4. Each block is 4 inches by 5 inches by 7 inches.
What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches
Answer
the answer is b. im not sure though
Step-by-step explanation:
1042 square inches is the total surface area of composite solids.
It is clear from the image that the resulting composite solid is a cuboid.
whose sides are as follows
Across the length, there are 3 blocks along the side of 7 inches each.
[tex]Length = 7 \times 3 = 21\ inch[/tex]
Width = 5 inch
Across the height, there are 4 blocks along the side of 4 inches each.
[tex]Height = 4 \times 4 = 16\ inch[/tex]
What is the total surface area of a cuboid?[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]
We know that the total surface area of a cuboid is,
[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024[/tex]
Therefore, the total surface area = 1024 square inches.
To learn more about the surface area visit:
https://brainly.com/question/76387
#SPJ2
I hope ya'll can answer this guys plz help more points!!!!!!
Answer:
32 (Answer D)
Step-by-step explanation:
-1
(4 )(2^3 / 16)
or:
1 8*16
------- * ------------ = 32 (Answer D)
4 1
Answer:
D
Step-by-step explanation:
f (x) = 2 |* – 2] + 3
How to evaluate
Answer:
problem can't be solved
Step-by-step explanation:
8. Simon's Toy Co. makes plastic blocks that are in the shape
of cubes 3 inches on each edge. How many blocks can be
put in a cube-shaped mailing box that measures 15 inches
on each edge?
Answer:
5 cubes
Step-by-step explanation:
15/3=5
Answer:
5
Step-by-step explanation:
5/3=15
Solve the system of equation: y = x + 5 ; y = 2x +2 x= ? , y = ?
I need this ASAP
It's simple Please!!!!!!!
Answer:
x = 3
y = 8
Step-by-step explanation:
y = x + 5
y = 2x + 2
They both equal y, so:
x + 5 = 2x + 2
x + 3 = 2x
3 = x
Put the value of x into the equations:
y = 3 + 5 = 8
y = 2(3) + 2 = 8
x = 3
y = 8
Please help me with this question
Answer: Can you elpan it so I can figgure it out
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
Because the inscribed angle is 75 degrees, the angle of arc AC is 75*2=150 degrees, which is the same as the angle of its respective central angle. Hope this helps!
Write 3 tenths and 9 hundredths as a decimal
Answer:
0.39
Step-by-step explanation:
1 tenth: 1/10 = 0.1
1 hundredth = 1/100 = 0.01
3(0.1) + 9(0.01)
0.3 + 0.09
0.39
Graph the equation.
X squared plus y squared equals 9
Answer:
Step-by-step explanation:
This graph is a circle. The general equation for a circle is x² + y² = r², where r is the radius. In this case, the radius is 3 because √9 = 3. Also, the center is (0,0) because the circle is not translated. Therefore, the graph is a circle with center (0,0) and radius 3. If you still need help, the y-intercepts are (0,±3) and the x-intercepts are (±3,0). Hope this makes sense!
Brendan read 4 books in 4 weeks, reading the same number of books each month, and in each week of the month. If Alicia reads 2 books each week, how many more
books does Alicia read each week than Brendan?
1.2
2.2
3.4
4.12
Answer:
idk
Step-by-step explanation:
Which best describes the range of the function f(x) = Two-thirds(6)x after it has been reflected over the x-axis?
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0
Answer:
y > 0 best describes the range of the function f(x) = 2(3)x. A function whose value is a constant raised to the power of the argument, especially the function where the constant is e
Step-by-step explanation:
Using exponential function concepts, it is found that the range of the function after it has been reflected over the x-axis is given by:
all real numbers less than 0.
What is an exponential function?It is modeled by:
[tex]y = ab^x + c[/tex]
In which:
a is the initial value.b is the rate of change.The range is (c, infinity).In this problem, a reflection over the x-axis means that it was multiplied by -1, hence the range will be (-infinity, 0), hence the correct option is;
all real numbers less than 0.
More can be learned about exponential function concepts at https://brainly.com/question/25537936
4
A mall manager asks the store owners what fraction of their products are on sale. The store owners' responses are displayed on the line plot. What fraction of the stores have or less of their products on sale?
Mall Stores Sale Items
A.
B.
C.
D.
Answer:
its 1/2
Step-by-step explanation:
people stop putting answer if your not sure you just want points
What is the value of b in the equation (y Superscript b Baseline) Superscript 4 Baseline = StartFraction 1 Over y Superscript 24 Baseline EndFraction? –20 –6 6 20
Answer:
b =-6
Step-by-step explanation:
[tex](y^{b})^4=\frac{1}{y^{24}} \\\\y^{4b}=y^{-24}\\4b = -24\\b=\frac{-24}{4}\\b =-6[/tex]
Answer:
B , -6
Step-by-step explanation: took the quiz
Help me please!!!!!!!!
Answer:
D y= ax^2 + bx+c = 0
Step-by-step explanation:
The standard form of a quadratic equation is
ax^2 + bx+c = 0
x = -b/2a is the equation for the line of symmetry
a quadratic is a parabola, but that is not the standard form
vertex is the minimum or maximum of the parabola