Dr. Sojo’s first-period class had 54 fewer extra points than her second-period class. Together they had 438 total extra points. How many extra points did each class have?
Answers
Second class extra points = x
First class extra points = x - 54
Both have 438 total extra points
x + (x-54) = 438
Solve for x
x +x - 54 = 438
x + x = 438 +54
2x = 492
x= 492/2
x= 246
First class = x -54 = 246 - 54 = 192 extra points
Second class = x = 246 extra points
Related Questions
Find the distance between the points
(−5,2) and (9.2)
Answers
Step-by-step explanation:
Formula Used
By distance formula,
d (A,B)=√[(x₁ - x₂)² + (y₁ - y₂)²]\( \sf \longmapsto \: D = √(x2-x1)²+(y2-y1)²\)
\( \sf \longmapsto= √(9+5)²+(2-2)²\)
\( \sf \longmapsto= = √14²+09\)
\( \sf \red \longmapsto \boxed{= 14}\)
annex zeros if needed to write remainders as decimals 5.3 ÷ 0.2
Answers
Answer:
26.5
Step-by-step explanation:
Awnser All 4 boxes pls
Answers
-_- 1x2 3x4 2 3d 34rs 4543 3456
There are 136 students at the dance. 62 of the students are female. what is the ratio of boys to girls at the dance?
Answers
136-62= 74
boys:girls = 62:74
this can be simplified to: 31:37
A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The
chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who
hopped in the chain's stores were interested in the service. What is the sample in the study?
Answers
The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.
The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.
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Si una mosca real tiene una longitud de 9mm y su maqueta mide 18cm.cual a q escala se realizo la maqueta
Answers
The scale factor used is:
1 centimeter equals half millimiter.
How to find the scale factor?The scale factor tells us how many units in the sculpture represent a real unit.
We know that:
Real length = 9mm
Length in the sculpture = 18cm
Then we have the relation between the lengths:
18cm = 9mm
Dividing both sides by 18 we will get:
1cm = 9mm/18
1cm = 0.5mm
So the scale is 1 centimeter equals half millimiter.
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15 POINTS!!! HELP ASAP! Liz wants to write the phrase “the difference of seven and the number squared” as an algebraic expression. She wrote out several expressions in the table. Which expression correctly represents the phrase.
Expression number ____?
Answers
Answer:
7-n^2 (#3)
Step-by-step explanation:
"the difference of" means subtract following number from preceding number in this case 7 from an unknown and it wants this number squared therefore 7 - n^2 is your answer
ASAP Write an equation of a quadratic formula with the given properties: f(3)=f(-5)=0;f(-6)=-36
Answers
The quadratic equation y = - 4 · x² - 8 · x + 60 contains the points (3, 0), (- 5, 0) and (- 6, - 36).
How to derive a quadratic equation that contains three points
In this question we find the coordinates of three points set on Cartesian plane and we are asked to find the quadratic equation that contains the these points. The standard form of the quadratic equation is shown below:
y = a · x² + b · x + c
Where:
x - Independent variable.y - Dependent variable.a, b, c - Real coefficients.We can determine the values of the three coefficients because the number of known points is equal to the number of coefficients. Then, we have the following system of linear equations by replacing x and y on each of the three points:
9 · a + 3 · b + c = 0
25 · a - 5 · b + c = 0
36 · a - 6 · b + c = - 36
Then, the solution to the system is found by numerical methods:
(a, b, c) = (- 4, - 8, 60)
The equation that contains the three points is y = - 4 · x² - 8 · x + 60.
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What function type does the graphed data points represent?
A)
Exponential
B)
Can't be determined
C)
Linear
D)
Quadratic
Answers
It sure looks like a linear function to me.
You can confirm this by finding the slope of "down 10/right 2" to give you a slope of -5.
A truck was purchased for $188000 and it was estimated to have a $32000 salvage value at the end of its useful life. Monthly depreciation expense of $2600 was recorded using the straight-line method. The annual depreciation rate is a.16,60% b.6.67% c.20.00% d.1.67%.
Answers
Answer: 20%
Step-by-step explanation: Annual depreciation = $2,600 * 12 = $31,200
Annual depreciation rate = Annual depreciation /Depreciable costs
= $31,200 / ($188,000 - $32,000)
= 20%
A price was decreased by 12%. Then it was increased by an additional 5%. What is the percent of the total decrease?
Answers
Answer:
7.6%
Step-by-step explanation:
First the decrease
(100-12)%=88%
then the increase
(88)(1.05)=92.4%
The total decrease
(100-92.4)% = 7.6%
Hope this helps
fiind the value of x between 0 and 360
for question 5sin 2x=7cos2x
Answers
Answer:
x=pi*n/2+1/2arctan(7/5)
Step-by-step explanation:
5sin(2x)=7cos(2x)
5tan(2x)=7/5
2x=pi*n+arctan(7/5)
x=pi*n/2+1/2arctan(7/5) for n e Z
A recipe that will make three pies calls for 7 cups of flour find how many pies can be made with 28 cups of flour
Answers
Answer:
12 pies
Step-by-step explanation:
3 pies can be made with 7 cups of flour. That is one batch. 28/7=4 batches. Since 3 pies can be made in one batch, multiply 3 by 4, or the number of batches, to get 12 pies that can be made.
Hope this helps!
Leo says that the product n x 4/5 is greater than 4/5 because multiplication always increases a number. Which of the following values for n shown that Leo is incorrect?
a. 2
b. 7/6
c. 5/8
d. 5/4
e. 6/6
Answers
Answer: Let's plug in each value for n and compare the results:
a. n = 2
2 x 4/5 = 8/5 which is greater than 4/5.
b. n = 7/6
7/6 x 4/5 = 28/30 which simplifies to 14/15 which is greater than 4/5.
c. n = 5/8
5/8 x 4/5 = 20/40 which simplifies to 1/2 which is less than 4/5.
d. n = 5/4
5/4 x 4/5 = 20/20 which simplifies to 1 which is greater than 4/5.
e. n = 6/6
6/6 x 4/5 = 24/30 which simplifies to 4/5.
Therefore, the answer is (c) 5/8, which shows that Leo is incorrect. In this case, the product is less than 4/5.
Solve the right triangle with a= 1.42 and b=17.1 . Round off the results according to the table below
Answers
A)
\(\begin{gathered} c=17.159 \\ A=4.747\text{\operatorname{\degree}} \\ B=85.253\operatorname{\degree} \end{gathered}\)Explanation
Explanation
Step 1
c) to find the measure of the hypotenuse we can use the Pythagorean theorem, it states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)
\(a^2+b^2=c^2\)Step 1
a) Let
\(\begin{gathered} a=1.42 \\ b=17.1 \end{gathered}\)b) now, replace and solve for c
\(\begin{gathered} a^2+b^2=c^2 \\ 1.42^2+17.1^2=c^2 \\ 294.4264=c^2 \\ c=\sqrt{294.4264} \\ c=17.15885 \\ rounded \\ c=17.159 \end{gathered}\)Step 2
angle A
to solve for angle A we can use tan function, so
\(tan\theta=\frac{opposite\text{ side}}{adjacent\text{ side}}\)replace
\(\begin{gathered} tan\text{ A=}\frac{a}{b} \\ tanA=\frac{1.42}{17.1} \\ A=\tan^{-1}(\frac{1.42}{17.1}) \\ A=4.747\text{ \degree} \end{gathered}\)Step 3
for angle B we can use tan function
let
\(\begin{gathered} opposit\text{ side=b} \\ adjacent\text{ side=a} \end{gathered}\)replace and solve for angle B
\(\begin{gathered} tan\text{ B=}\frac{b}{a} \\ tanB=\frac{17.1}{1.42} \\ B=\tan^{-1}(\frac{17.1}{1.42}) \\ B=85.252\text{ \degree} \\ \end{gathered}\)I hope this helps you
Number two and three please asap
Answers
Answer: h and d
Step-by-step explanation:
the answer is correct because it shows it please give this a like
Estimate the difference of the decimals below by rounding to the nearest whole number. 23.827
- 1 .218
Answers
Step-by-step explanation:
The key rule is: to round up the number one digit to the left has to be the number 5 or more, else it rounds down.
23.827 rounds up because the 8 is more than 5.
1.218 rounds down because 2 is less than 5.
24-1= 23
how do I find the slope
Answers
you can find the slope taking two points of a graph or function,
identify the rightmost point and apply this equation
\(m=\frac{y_2-y_1}{x_2-x_1}\)where (x2,y2) is the rightmost point and (x1,y1) is the other point
If i have two points (3,4) and (6,2)
the rigthmost point is (6,2) because 6 is greater than 3 and these two numbers are x, the place where I can locate myself horizontally or left or right
so, apply the equation
\(\begin{gathered} m=\frac{2-4}{6-3} \\ m=\frac{-2}{3} \\ \end{gathered}\)So, the slope is
\(-\frac{2}{3}\)Ms. Tompkins had an amount of money in the bank. After she deposited $100, she had at least $550 in the bank. how much money did Ms. Tompkins have in the bank originally?
i need explanation pls , ty
Answers
Answer:
at least $450
Step-by-step explanation:
Let the amount she has in bank before depositing be x
If she had at least $550 in the bank after depositing, then;
x + 100 ≥ 550
Get the initial amount in bank
x ≥ 550 - 100
x ≥ 450
Hence the amount she has in the bank originally was at least $450
Select the correct answer. A pyramid is placed inside a rectangular prism with height h. Area of the base of the pyramid and the prism is B. A pyramid is placed inside a prism as shown. The pyramid has the same base area, B, as the prism but half the height, h, of the prism. Which expression gives the volume of the pyramid? A. V = 2 3 B h B. V = 1 4 B h C. V = 2 B h D.
Answers
An expression which gives the volume of this pyramid is D. V = 1/6 Bh.
How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid can be calculated by using this formula:
V = 1/3 × B × h
Where:
V represents the volume of a pyramid.h represents the height of a pyramid.B represents the base area of a pyramid.Since the pyramid has the same base area (B) as the prism but half (1/2) the height (h) of the prism, the new volume of this pyramid can be derived as follows:
New height, h = h/2
Substituting the parameters into the formula, we have:
Volume, V = 1/3 × B × (h/2)
Volume, V = 1/6 Bh
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Complete Question:
A pyramid is placed inside a prism as shown. The pyramid has the same base area, B, as the prism but half the height, h, of the prism. Which expression gives the volume of the pyramid?
A. V = 2/3 Bh
B. V = 1/4 Bh
C. V = 2 Bh
D. V = 1/6 Bh
ratiearbiteracy
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Ghics12
The average inflation rates for the period 2016 to 2017 are shown in the following iable.
2017
1 2018
Average Inflation rate 4,51%
6,59%
Cost of a brown bread
R9.99
A
8.1.1
Explain the meaning of the term inflation rate.
8.1.1
Calculate the cost of a loaf of brown bread in 2017 by using the average
inflation rates that are given in the table above.
ON NO: 3
: MAPS AND SCALES
ensure Learners know the following:
IBER/RATIO SCALE
Answers
Sorry but You gone have to higher the price for this, this is a big question.
Find a · b.
a = 5i + 4j − k, b = −4i + 9k
Answers
Answer
a · b= the square root of b(5i + 4j - k) divided by b
Suppose 30% of the U.S. population has green eyes. If a random sample of size 1200 U.S. citizens is drawn, then the probability that less than 348 U.S. citizens have green eyes is _______.
Answers
Answer:
P(X is less than 348) = 0.2148
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.3
Sample size = 1200
Let X be the random variable that obeys a binomial distribution. Then;
\(X \sim Bin(n = 1200,p =0.3)\)
The Binomial can be approximated to normal with:
\(\mu = np = 1200 \times 0.3 \\ \\ \mu= 360\)
\(\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875\)
To find:
P(X< 348)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5
Normal distribution:
x = 347.5, \(\mu\) = 360, \(\sigma\) = 15.875
Using the z test statistics;
\(z = \dfrac{x - \mu}{\sigma}\)
\(z = \dfrac{347.5 - 360}{15.875}\)
\(z = \dfrac{-12.50}{15.875}\)
z = -0.7874
z ≅ - 0.79
The p-value for P(X<347.5) = P(Z < -0.79)
From the z tables;
P(X<347.5) = 0.2148
Thus;
P(X is less than 348) = 0.2148
Is 0.6294 terminating or repeating
Answers
Answer:
This is terminating. As a fraction it would be: \(\frac{6294}{10000}\) not simplified
Step-by-step explanation:
If it was repeating you would see a repeat bar over part of the number. Or 3 .... showing that the number goes on.
(-8x + 2) + (-5x + 7)
Answers
Answer:
Step-by-step explanation:
(-8x + 2) + (-5x + 7)
-8x + 2 - 5x + 7
- 13x + 9
The base of a square pyramid has a length of 5 and a volume of 200. Find the height .
Answers
The height of the square pyramid is 24.
We have,
To find the height of a square pyramid, given its base length and volume, we can use a simple formula.
The volume of a pyramid is calculated by multiplying the base area by the height and dividing by 3.
In this case,
The volume of the pyramid is given as 200 and the base length is 5.
So,
200 = (5² x height) / 3
To simplify, we square the base length:
200 = (25 x height) / 3
To isolate the height, we multiply both sides by 3 and then divide by 25:
200 x 3 / 25 = height
Simplifying the calculation:
24 = height
Therefore,
The height of the square pyramid is 24.
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There are 1/2 as many eighth graders in the choir as seventh graders. There are 48 eight graders. Write and solve an equation to find the number of seventh graders in the choir. (This problem needs to be written as an equation..not just 48x2) Thanks
Answers
Answer:
Step-by-step explanation:
Let x represent the number of seventh graders in the choir:
48=x/2
x=96
Find the radius of a circle with a circumference of 4/3 pi.
Answers
The radius of a circle with circumference of 4π/3 is equal to 2/3
What is the circumference of a circleThe circumference of a circle is the same as the total length of the circle boundary. It can also be called the perimeter of a circle.
The circle in question have its circumference as
4π/3.
circumference of circle = 2πr
4π/3 = 2πr
divide through by π
4/3 = 2r
r = 4/(3×2) {by cross multiplication}
r = 4/6
radius = 2/3.
Therefore, the radius of a circle with circumference of 4π/3 is equal to 2/3
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The radius of a circle with a circumference of 4π/3 is equal to 2/3 units.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, we have the following;
Circumference of circle, C = 2πr
4π/3 = 2πr
4π = 6πr
Radius, r = 4/6 = 2/3 units.
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Chứng minh A -> B
(C^D)->A
(B^E)->F
D
C
Answers
Answer:
i know what is the correct answer
letter A
Step-by-step explanation:
o i know im genious btw can you brainliest me
Pls help me
What is the sequence of transformations that maps triangle PQR onto triangle P prime, Q prime R prime. Use the drop-down menus to explain your answer.
Pls help
Answers
A dilation with a center (0,0), a scale factor of 2, with a reflection across the line x = 1.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The vertices of each figure are given as follows:
P(-1,1), R(-3,1) and Q(-2,3).P'(2,2), R'(5,2) and Q'(4.5, 6).The ratio between the distances of the equivalent sides on each image is of two, hence the scale factor is of two.
The two lines are equidistant from the line x = 1, hence the reflection is over the line x = 1.
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