The expressions that are equivalent to -56z + 28 are B. (-1.4z+0.7) * 40 and D.(8z - 4) * (-7), as they both simplify the given expression.
You are looking to find expressions that are equivalent to -56z + 28. Let's simplify each of the given options:
A. 1/2 *(-28z + 14) simplifies to -14z + 7, so this is not equivalent to -56z + 28.
B. (-1.4z+0.7) * 40 simplifies to -56z + 28, which is equivalent.
C. (14 -7z) *(-4) simplifies to -56z + 56, which is not equivalent to -56z + 28.
D.(8z - 4) * (-7) simplifies to -56z + 28, which is equivalent.
E. -2(-28z-14) simplifies to 56z + 28, which is not equivalent since the terms have opposite signs.
The equivalent expressions to -56z + 28 are options B and D.
houses cost £100000 one year ago
now they cost £________
this is a 25% increase
Final answer:
The new cost of houses after a 25% increase from the original price of £100,000 is £125,000. You calculate this by finding 25% of £100,000, which is £25,000, and then add it to the original price.
Explanation:
The student is asking how to calculate the new cost of houses after a 25% price increase from the previous year when the houses cost
£100,000. To find the new price, we need to calculate 25% of £100,000 and then add that to the original price.
First, find 25% of £100,000:
0.25
(multiplier for 25%)
× £100,000
(original cost)
= £25,000
(the increase).
Next, add the increase to the original cost:
£100,000
+ £25,000
= £125,000.
Therefore, the new cost of the houses after a 25% increase is £125,000.
Two sides of a rectangular fence are 5 5/8 feet long.The other two sides are 6 1/4 feet long.What is the perimeter?
Answer:
im not sure
Step-by-step explanation:
so sorry i didnt know the answer.
Answer:
the perimeter of the rectangle is 23.75 feet.
Step-by-step explanation:
5 5/8 × 2 = 11 1/4.
6 1/4 × 2 = 12 1/2
11 1/4 + 12 1/2 = 23 3/4 or 23.75
Write an exponential model, y=a(b)^x, given the two points (9,171) and (10,190)
Please hurry!
Answer:
[tex]y = 66.25(1.11)^x[/tex]
Step-by-step explanation:
Let's plug in 9 for x and 171 for y into the given exponential equation:
y = [tex]ab^x[/tex]
171 = [tex]ab^9[/tex]
Now do the same with (10, 190):
190 = [tex]ab^{10}[/tex]
Write them both in terms of a and set them equal:
a = 171/[tex]b^9[/tex]
a = 190/[tex]b^{10}[/tex]
171/[tex]b^9[/tex] = 190/[tex]b^{10}[/tex]
Multiply both sides by [tex]b^{10}[/tex]:
171b = 190
b = 190/171 = 10/9 ≈ 1.11
Plug this in to find a:
a = 171 / (10/9)^9 ≈ 66.25
So, the exponential model is:
[tex]y = 66.25(1.11)^x[/tex]
Answer:
y = 66.25[(10/9)^x]
Step-by-step explanation:
171 = a(b⁹)
b⁹ = 171/a
190 = a(b¹⁰)
190 = a(171/a) × b
b = 190/171
b = 10/9
(10/9)⁹ = 171/a
a = 66.24890362
Can you please help me with this?
Answer:
30 ,345,986
Step-by-step explanation:
Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 17 feet by 17 feet by 2 inches for a patio if the concrete costs $64.00 per cubic yard?
Answer:
$114.17
Step-by-step explanation:
First we need to convert cubic yard to cubic feet.
One yard is equivalent to three feet, so one cubic yard is 3^3 = 27 cubic feet.
So the cost of one cubic feet is 64/27 = $2.3704
We also need to convert from inches to feet.
One inch is 1/12 feet, so 2 inches is 2/12 = 1/6 feet
Now we need to find the volume of the slab:
Volume = 17 * 17 * (1/6) = 48.1667 ft3
Now, to find the cost, we can use a rule of three:
1 cubic feet -> $2.3704
48.1667 cubic feet -> X
X = 48.1667 * 2.3704 = $114.1743
1. According to the box and whisker plot below, what was the lower quartile weight of Frank's
classmates?
Weights of Frank's Classmates (in lbs.)
50 75 100 125 150
HHHHHHHHH
a) 65
b) 75
c)
95
d) 125
B
Step-by-step explanation:
I hoped this helped
Based on the provided box and whisker plot, the lower quartile (Q1) represents the 25th percentile of the data, which means 25% of the data points are below this value. To find the lower quartile weight of Frank's classmates, we need to identify the middle value of the lower half of the data.
The box and whisker plot separates the data into four quartiles: the lower whisker, the box (which contains Q1), the median (Q2), and the upper whisker. The box covers the interquartile range (IQR), which contains the middle 50% of the data.
Let's find the lower quartile (Q1) based on the provided data:
Weights of Frank's Classmates (in lbs.): 50, 75, 100, 125, 150
Step 1: Arrange the data in ascending order: 50, 75, 100, 125, 150
Step 2: Find the position of Q1:
Position of Q1 = (25/100) * (Total number of data points + 1)
Position of Q1 = (25/100) * (5 + 1)
Position of Q1 = (25/100) * 6
Position of Q1 = 1.5
Since the position is not a whole number, we need to take the average of the data points at positions 1 and 2.
Step 3: Calculate Q1:
Q1 = (Data at position 1) + [(Position of Q1 - Integer part of Position of Q1) * (Data at position 2 - Data at position 1)]
Q1 = 50 + [(1.5 - 1) * (75 - 50)]
Q1 = 50 + [0.5 * 25]
Q1 = 50 + 12.5
Q1 = 62.5
So, the lower quartile weight of Frank's classmates is 62.5 lbs.
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you invest 3200 in an account that pays an interest rate of 7.25% compounded continuosly
On a game show, a contestant randomly chooses a chip from a bag that contains numbers and strikes. The theoretical probability of choosing a strike is 1/8. The bag contains 7 strikes. How many chips are in the bag?
Answer:
Let x be the number of chips.
\frac{8}{x}=\frac{1}{5}
x = 40
The answer is: There are 40 chips in
HELP 100 POINTS GIVEN 1. An inground non-diving swimming pool has the following dimensions. It is 33 feet long and 14 feet wide. On the
shallow end, it is 3 feet 6 inches deep and slopes gradually to a depth of 5 feet 4 inches. A picture is below. What
shape(s) can be used to estimate the volume of the pool.
2. What volume formula(s) will be used for the shape listed in
number 1
3. The pool has dimensions that are in both feet and inches. Perform unit conversions on this step
4. Apply the dimensions from number 3 to the formula(s) listed in number 1 and calculate the approximate volume of
the pool.
5. Write the answer from number 4 in scientific notation. It can be approximated.
Answer:
14inches farenheight
Step-by-step explanation:
Answer:
14 inches farenheit
Step-by-step explanation:
Easy Question means Easy points
Topic: Volume
Focus on Scenario 2
Answer:
20,000 cm³
Step-by-step explanation:
The shape is a triangular prism
Base area × height
½ × 20 × 25 × 80
20,000 cm³
Answer:
20,000 cm³
Reason Why I know is because I had to do this very same thing :P
Evaluate e – 2 when e=7.
Answer:
5
Step-by-step explanation:
If e = 7, you would replace e in the expression e - 2 with 7 so that the expression becomes 7 - 2 which results in 5.
Does that help?
−11x 5 (−9x 3 y 4 ) fully simplify
Answer:
5940 y
Step-by-step explanation:
Simplify the following:
-11 (-9)×5×3×4 y
-9×3 = -27:
-11×5×-27×4 y
-27×4 = -108:
-11×5×-108 y
-11×5 = -55:
-108-55 y
-55 (-108) = 5940:
Answer: 5940 y
An artist is creating a sculpture where a globe with a diameter of 48 inches sits in a cone like a scoop of ice cream. She wants the cone of her sculpture to be geometrically similar to an actual ice cream cone that has a diameter of 2 1/2 inches and a height of 6 inches. What should be the height of the cone in the artist’s sculpture?
We have been an artist is creating a sculpture where a globe with a diameter of 48 inches sits in a cone like a scoop of ice cream. She wants the cone of her sculpture to be geometrically similar to an actual ice cream cone that has a diameter of 2 1/2 inches and a height of 6 inches.
We will use proportions to solve our given problem.
[tex]2\frac{1}{2}=2.5[/tex]
[tex]\frac{\text{Height of sculpture}}{\text{Diameter of sculpture}}=\frac{\text{Height of cone}}{\text{Diameter of cone}}[/tex]
[tex]\frac{\text{Height of sculpture}}{48}=\frac{6}{2.5}[/tex]
[tex]\frac{\text{Height of sculpture}}{48}\cdot 48=\frac{6}{2.5}\cdot 48[/tex]
[tex]\text{Height of sculpture}=6\cdot 19.2[/tex]
[tex]\text{Height of sculpture}=115.2[/tex]
Therefore, the height of the sculpture should be 115.2 inches.
Answer:
115 1/5
Step-by-step explanation:
This is 100% the answer because I took a test with this question and that was the correct answer
Please mark as brainliest :)~
how much space do all three of the soccer balls take up ?
Answer: 2713 cubic centimeter
Step-by-step explanation:
Answer:
339 cubic centimeters
Step-by-step explanation:
The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex]. In this case, a ball with the radius of 3 centimeters would have a volume of [tex]\frac{4}{3}\pi \cdot 3^3=113.04[/tex] cubic centimeters. Multiplying this by the three soccer balls, you get about 339 cubic centimeters, or the third option. Hope this helps!
Helllllllppppp ....,.:,:::;;,:()$?;;:/&//&
Answer:
The answer is 41>6t+7
Step-by-step explanation:
It said that he wants to earn "more than" $41 so the inequality sign is more than. Then it says $6 per hour so 6t. Then you add $7
When finding the volume of a soup can, Tommy needs to calculate the area of the base. Describe what type of base Tommy’s soup can has and what formula he should use to find its area.
Answer: The base is a circle and you can use the formula (pi)r^2 the find the area of the base
Step-by-step explanation:
a soup can is a cylinder and the base of a cylinder is a circle. you can google "area of a circle calculator" on google to show you the formula
Answer:
Sample response: The soup can has a circular base. The radius measure is needed. If the diameter is given, find the radius, which is half the diameter. Square the radius and multiply that answer by pi for the base area.
Step-by-step explanation:
I just did it on edge
What is the solution to the inequality -4x < 8?
x < -2
x > -2
x < -24
x > -24
Answer:
x > -2
Step-by-step explanation:
-4x < 8
-8 < 4x
-2 < x
x > -2
The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder?
Let r represent the radius of cylinder.
We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be [tex]1.5r[/tex].
We will use lateral surface area of pyramid to solve our given problem.
[tex]LSA=2\pi r h[/tex], where,
LSA = Lateral surface area of pyramid,
r = Radius,
h = height.
Upon substituting our given values in above formula, we will get:
[tex]LSA=2\pi r\cdot (1.5)r[/tex]
Now we will find the total surface area of cylinder.
[tex]TSA=2\pi r(r+h)[/tex]
[tex]TSA=2\pi r(r+1.5r)[/tex]
[tex]TSA=2\pi r(2.5r)[/tex]
[tex]\frac{TSA}{LSA}=\frac{2\pi r(2.5r)}{2\pi r(1.5r)}[/tex]
[tex]\frac{TSA}{LSA}=\frac{2.5r}{1.5r}[/tex]
[tex]\frac{TSA}{LSA}=\frac{25}{15}[/tex]
[tex]\frac{TSA}{LSA}=\frac{5}{3}[/tex]
Therefore, the ratio of total surface area to lateral surface area is [tex]5:3[/tex].
Quadratic formula what is the expression for discriminant
Answer:
b^2-4ac
Step-by-step explanation:
By looking at that part after substituting and calculating, you can tell these things about the solution
Examine the number line and select all the statements that are true.
The sum of B and C is negative.
the product of A and B > the product of A and D
|A| < |D|
A - B = -2 2/3
A + D = B
The quotient of C and B is equivalent to -2/3
Answer:
the sum of B and C is negative
A + D = B
The quotient of C and B is equivelent to -2/3
Step-by-step explanation:
The quotient of C and B is equivalent to -2/3. Therefore, the correct option is option D among all the given options.
What is number line?A picture of numbers along a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it. Just to refresh your memory, a whole number is a collection of numbers that contains all counting numbers.
Comparing numbers is made simpler by writing them on a number line. As seen in the aforementioned graphic, the integers to the left are smaller compared to the integers for the right. As an illustration, the numbers 0 and 1 are less than each other, as are the numbers -1 and -2. The sum of B and C is negative.
Therefore, the correct option is option D.
To know more about number line, here:
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f(x)=4x2−16
find the zeros of the function
Answer:
x=2 x=-2
Step-by-step explanation:
f(x)=4x^2−16
f(x)=4(x^2-4)
f(x)=4(x-2)(x+2)
x=2 x=-2
Hope this helps! Please mark brainliest :)
The zeros of the function f(x) = 4x2 − 16 are found by factoring the quadratic equation, which results in two solutions x = -2 and x = 2.
Explanation:To find the zeros of the function f(x) = 4x2 − 16, we need to set the function equal to zero and solve for x:
0 = 4x2 - 16
To solve this quadratic equation, you can factor out the common factor of 4:
0 = 4(x2 - 4)
We now have a difference of squares, which can be factored further:
0 = 4(x + 2)(x - 2)
Set each factor in the parentheses equal to zero:
x + 2 = 0 → x = -2x - 2 = 0 → x = 2So the zeros of the function are x = -2 and x = 2.
A machine can scan 12 pages in 3/5 minute. How many pages can be scanned in 1 minute?
Answer:
20 pages
Step-by-step explanation:
Answer:
20 pages
Step-by-step explanation:
3/5 minute =36sec
if 36=12
.·.60= 60×12÷36=20
Enrico buys 3/8 of cheddar cheese and 4/8 pounds of Swiss cheese .How much cheese did Enrico buy in all?
Answer: 7/8 pounds of cheese
Step-by-step explanation:
Add the two numbers.
4/8 + 3/8 = 7/8.
That is your answer.
PLEASE HELP ME
Find the surface area of the sphere. *
We have been given a sphere with radius 8.6 ft. We are asked to find the surface area of the given sphere.
We know that surface area of a sphere is equal to [tex]4\pi r^2[/tex].
[tex]A=4\pi r^2[/tex]
Upon substituting [tex]r=8.6\text{ ft}[/tex] in surface area formula, we will get:
[tex]A=4\pi (8.6\text{ ft})^2[/tex]
[tex]A=4\pi \cdot 73.96\text{ ft}^2[/tex]
[tex]A=295.84\pi\text{ ft}^2[/tex]
[tex]A=929.4087706\text{ ft}^2[/tex]
Upon rounding to nearest hundredth, we will get:
[tex]A\approx 929.41\text{ ft}^2[/tex]
Therefore, the surface of the given sphere would be approximately [tex]929.41\text{ ft}^2[/tex].
what is (a^4/-7b^3)^2 simplified?
Answer:
Step-by-step explanation:
[tex](\frac{a^{4}}{-7b^{3}})^{2}=\frac{(a^{4})^{2}}{(-7b^{3})^[2}}\\\\=\frac{a^{4*2}}{(-7)^{2}b^{3*2}}\\\\=\frac{a^{8}}{49b^{6}}[/tex]
What is the center of the data?
Answer:
The center of data is a single number that summarizes the entire data set.
Step-by-step explanation:
Kayla hit 4 homeruns at batting practice
out of 12 pitches thrown. What is the
experimental probability that Kayla will hit a
homerun at batting practice?
Answer:
[tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given,
Total number of trial = 12
Total number of favorable event = 4
Experimental probability of hitting home run is
[tex]P(home\ run)=\dfrac{Favorable\ event}{Total\ trial}[/tex]
[tex]P(home\ run)=\dfrac{4}{12}[/tex]
[tex]P(home\ run)=\dfrac{1}{3}[/tex]
Answer:1/3
Step-by-step explanation:Answer:
Step-by-step explanation:
Given,
Total number of trial = 12
Total number of favorable event = 4
Experimental probability of hitting home run is
Please help for both of them
Answer:
18 is for the top
6 is for the bottom
Answer:
1. C
2. D
Step-by-step explanation:
Can anybody find the measure of arc KL and arc JK?
click on image for full picture
Answer:
Arc KL = 30°
Arc JK = 90°
Step-by-step explanation:
Arc KL is a connected to a central angle with the measurement of 30°. Because it is a central angle, the arc's measurement will be the same as the central angle's measurement:
Arc KL = 30°
Arc JK is connected to a central angle that has a right angle measurement sign. A right angle = 90°. Because it is a central angle, the arc's measurement will be the same as the central angle's measurement:
Arc JK = 90°
~
Answer:
arc kl= 30
arc jk=90
Step-by-step explanation:
Analyzing Student Work
Analyze Marika's steps. Which statement is true about
her work?
Marika solved the equation (6x +15)2 + 24 = 0. Her work
is below.
1. (6x + 15)2 = -24
2. V6x +15)2 = -24
In step 2, Marika should have simplified / -24 to be
4-6
3. 6x + 15 = -25
4. 6x = -2.5 - 15
-256-15
5. X=
There are no real solutions to this equation because
the square root of a negative number is not a real
number
There should be two real solutions to this equation
because -24 = +25.
Marika correctly solved this equation.
Answer:B
Step-by-step explanation:
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