Answer: 30 students in total
Step-by-step explanation: 2x+ 3x is 5x right. The 18 girls are the 3x. That means the 6 people is 1x. If there are 5 x people in total that means that there are 30 students
A solid sphere is cut into 8 equal wedges. The volume of each wedge is
V= dor? Solve the formula for r.
O A. r =
6V
B. r = 6V – 7
O c. r= = v
OD. r= 16V (11)
Answer:
A) r=∛(6v)/\(\pi\)
Step-by-step explanation:
v=1/6\(\pi\)r³
v÷1/6=\(\pi\)r³
(when dividing by a fraction, invert and multiply)
6v=\(\pi\)r³
6v÷\(\pi\)=r³
(6v)/\(\pi\)=r³
take the cube root of both sides
∛(6v)/\(\pi\)=∛r³
∛(6v)/\(\pi\)=r
Sarah graphed the line that represents the equation y=−5x.
Which ordered pairs represent points on the line?
Select all that apply.
(6,−30)
(−2,−10)
(5,25)
(−3,15)
(1,−5)
Answer:
the ordered pairs which represent points on the line are
(6, -30) ⇒ A
(-3, 15) ⇒ D
(1, -5) ⇒ E
Step-by-step explanation:
To find the ordered pairs represents points on the line y = -5x, substitute x in the equation by the x-coordinate of each point if the value of y equals the y-coordinate of the point, then the point lies on the line
∵ y = -5x
∵ The ordered pair is (6, -30)
∴ x = 6 and y = -30
→ Substitute x in the equation by 6 to find y
∵ y = -5(6)
∴ y = -30
→ y has the same value of the y-coordinate of the point
∴ (6, -30) represents point on the line
∵ The ordered pair is (-2, -10)
∴ x = -2 and y = -10
→ Substitute x in the equation by -2 to find y
∵ y = -5(-2)
∴ y = 10
→ y does not have the same value of the y-coordinate of the point
∴ (-2, -10) does not represent a point on the line
∵ The ordered pair is (5, 25)
∴ x = 5 and y = 25
→ Substitute x in the equation by 5 to find y
∵ y = -5(5)
∴ y = -25
→ y does not have the same value of the y-coordinate of the point
∴ (5, 25) does not represent a point on the line
∵ The ordered pair is (-3, 15)
∴ x = -3 and y = 15
→ Substitute x in the equation by -3 to find y
∵ y = -5(-3)
∴ y = 15
→ y has the same value of the y-coordinate of the point
∴ (-3, 15) represents a point on the line
∵ The ordered pair is (1, -5)
∴ x = 1 and y = -5
→ Substitute x in the equation by 1 to find y
∵ y = -5(1)
∴ y = -5
→ y has the same value of the y-coordinate of the point
∴ (1, -5) represents a point on the line
Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
Does anyone know the simplest radical form for this question
Answer:
A.
Step-by-step explanation:
Simplify the radical by breaking up the radicand up into a product of known factors, assuming positive real numbers.
Answer:
A) 4\(\sqrt15\\\)
Step-by-step explanation:
Start by factoring 240 to its prime factors
√240 = √10 · 24 =√2·5·2·2·2·3
look for pairs of numbers. There are 2 pairs of 2s, so take those out of the radical
= 2·2√5·3
= 4√15
x/2.4+39=239
show work
Answer: x = 480
Steps: x/2.4 + 39 = 239
Subtract 39 from both sides: x/2.4 + 39 - 39 = 239 - 39
Simplify: x/2.4 = 200
Multiply both sides by 2.4: x/2.4 × 2.4 = 200 × 2.4
Simplify: x = 480
Plz mark brainliest:)
Anyone know where I can get the awsners for these? The top of the paper says ACT Skills Prep, Week 1
Answer:
More than likely no full answer key however there might be answers for each individual question.
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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I need help. Please help
Answer:
150 degrees
Step-by-step explanation:
Answer:
You need 180 degrees for a triangle so, you subtract 150 from 180.
You get 30 degrees.
Then, you subtract 30 from 180 in order to find the degree of x.
The number for x is: 150 degrees
I hope this helps ! :)
Step-by-step explanation:
If there are 80 calories in 2/3 of an apple, How many calories are in 6 apples?
Answer:
Around 570 to 560.
Simplifica combinando términos semejantes. 4x²-9xy-4y²-6x² - xy + 6y²
2 4x² − 9xy − 4y² − 6x² - xy + 6y² = ___ -
(Simplifica tu respuesta. No descompongas en factores). ?
Answer:
-2x² - 10xy + 2y²
Step-by-step explanation:
4x² - 9xy - 4y² - 6x² - xy + 6y² =
= 4x² - 6x² - 9xy - xy - 4y² + 6y²
= -2x² - 10xy + 2y²
Help i will mark you brainliest
Answer:
-1
Step-by-step explanation:
x is -1 and y is 1 because if you do -1 times 1 you get -1 plus 2
3 x -1 -3 +4 is also 1 therefore the answer is x=-1 y=1
Midpoint: In this figure, what can be used to show EF = JK
Answer:
CPCTC
Step-by-step explanation:
CPCTC (corresponding parts of congruent triangles are congruent)
y= mx(slope)+b(y intercept)
Answer:
y = 5/6x + 1
Step-by-step explanation:
rise over run method:
if you count up and across from the first yellow point to the second, you get 5 up 6 across making the slope 5/6
it is positive because it goes up
the y intercept is 1
A triangle has an area of 114.31 square kilometers and a height of 14.2 kilometers. What is the length of the base?
The length of the base of given triangle is 16.1 kilometers.
What is the area of a triangle?The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Given that, a triangle has an area of 114.31 square kilometers and a height of 14.2 kilometers.
Here, 114.31= 1/2 ×b×14.2
114.31= b×7.1
b=114.31/7.1
b=16.1 kilometers
Therefore, the length of the base is 16.1 kilometers.
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Rewrite the following equations in the form (x−p)2=q 0=x^2-18x+1 and the equation x^2+26x+167.5=0
For the first equation, we can complete the square to find its vertex form. Here's how we do it:
0 = x^2 - 18x + 1
0 = (x - 9)^2 - 80
So we have (x - 9)^2 = 80. This is in the form (x - p)^2 = q, where p = 9 and q = 80.
For the second equation, we can complete the square in a similar way:
x^2 + 26x + 167.5 = 0
x^2 + 26x = -167.5
x^2 + 26x + (26/2)^2 = -167.5 + (26/2)^2
(x + 13)^2 = 9.25
So we have (x + 13)^2 = 9.25. This is in the form (x - p)^2 = q, where p = -13 and q = 9.25.
I hope that helps!
Transform the solid black function to match the dotted function.
To obtain the function that repreents the final transformation of the solid black function, the following steps are recommended:
Step 1: Express the solid black function as follows:
\(\begin{gathered} \text{the solif black function is given as:} \\ y=\lvert x\rvert \end{gathered}\)Step 2: Observe the changes that have occurred from the solid black function to the dotted function, as shown in the graph, and as explained below:
We can see that, to obtain the dotted function, the solid black function was:
1) Translated (moved) 5 units to the right along the x axis
2) Moved one unit downwards along the y axis
Step 3: Interpret the two obervations in mathematical terms, as follows:
\(\begin{gathered} After\text{:} \\ -\text{ translation of 5 units to the right, along the x axis, we now have:} \\ y=\text{ }\lvert x-5\rvert \\ -\text{ translation of one unit downwards, along the y axis, we now have:} \\ y=\text{ }\lvert x-5\rvert-1 \end{gathered}\)Therefore, the dotted function can be mathematically represented as:
\(f(x)=\lvert x-5\rvert-1\)Answer this imagine please
The expression that is not equivalent to the model shown is given as follows:
-4(3 + 2). -> Option C.
What are equivalent expressions?Equivalent expressions are mathematical expressions that have the same value, even though they may look different. In other words, two expressions are equivalent if they produce the same output for any input value.
The expression for this problem is given by three times the subtraction of four, plus three times the addition of 2, hence:
3(-4) + 3(2) = -12 + 6 = 3(-4 + 2) = 3(-2) = -6.
Hence the expression that is not equivalent is the expression given in option C, for which the result is given as follows:
-4(3 + 2) = -4 x 5 = -20.
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Find the surface area of the composite figure.
20 in.
11 in.
5 in.
I
I
19 in
12 in.
12 in.
SA
=
11 in.
5 in.
20 in.
[?] in.2
The surface area of the composite figure is 2005 in².
To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.
Let's break down the figure into its different parts and calculate the surface area step by step:
Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:
Surface Area of Rectangular Prism = 2lw + 2lh + 2wh
Plugging in the values, we have:
Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²
Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:
Surface Area of Rectangular Prism = 2lw + 2lh + 2wh
Plugging in the values, we have:
Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²
Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:
Surface Area of Rectangle = lw
Plugging in the values, we have:
Surface Area of Rectangle = (11)(5) = 55 in²
Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:
Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle
Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²
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I have finished half of this problem but i am still unsure on how to finish.
Answer:
Triangle PQR maps onto triangle KLM. This is possible because △PQR ≅ △KLM by ASA, and one congruent figure can be mapped onto another using rigid motions.
Step-by-step explanation:
For the first blank, we are given congruence statements for 1 side on each triangle and their two adjacent angles. This means we can use the Angle-Side-Angle theorem to declare △PQR and △KLM congruent.
For the second blank, we know that rigid transformations do not change the figure, they simply move its position on a plane, so this is the correct answer; had the △PQR and △KLM not been congruent, a non-rigid transformation would have to have occured, but this is not the case here.
Answer:
ASArigidStep-by-step explanation:
Given triangles PQR and KLM with QR ≅ LM, ∠Q ≅ ∠L, and ∠R ≅ ∠M, you want to know the applicable congruence postulate and whether the triangles are mapped to each other by rigid or non-rigid motion.
Sides and anglesThe segment QR has angle Q at one end and angle R at the other end. That means the side lies between the two angles. Likewise, segment LM lies between angles L and M.
When claiming congruence of these triangles, the appropriate postulate is the one that refers to the geometry with the congruent side between the congruent angles: ASA.
Motion"Rigid" motion is motion that preserves angle and length measures. By contrast, "non-rigid" motion may involve stretching or compression in one or more directions. It may or may not preserve angles or lengths.
Congruence is about showing that angles and lengths are the same from one figure to another. If you want to map congruent figures to each other, you must do so using rigid motion.
__
Additional comment
The rigid motions include ...
translationrotationreflection.<95141404393>
(-1,1,5)
9
8
7-
6
5
4
3₂
-3-2-1₁
(1,5)
(0,3)
Which exponential function is represented by the graph?
Of(x)=2(3¹)
Of(x)=3(3)
Of(x)=3(2)
O f(x) = 2(2¹)
The value of the equation that defines the function is f(x) = 3(5/3)ˣ
Finding an equation defining the functionFrom the question, we have the following parameters that can be used in our computation:
(0, 3) and (1, 5)
An exponential function is represented s
y = abˣ
Where,
a = y when x = 0
So, we have
y = 3bˣ
Using the other point, we have
3b = 5
This gives
b = 5/3
So, we have
f(x) = 3(5/3)ˣ
Hence, the equation defining f is f(x) = 3(5/3)ˣ
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The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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Evaluate the expression 34 ÷ (14 − 5) × 2. (4 points)
Answer:
4.5
Step-by-step explanation:
This will be an easy explanation, but it will take time.
3 to the fourth power ÷ (14-5) x 23 to the fourth power ÷ 9 x 281 ÷ 9 x 281 ÷ 18 = 4.5____________________________________________________________
Remember to use the PEMDAS operation.
P- Paran.
E- Expo.
M- Multi.
D- Dib.
A- Add
S- Sub.
__________________________________________________________
If it wants a numerical expression, round to the nearest whole number.
Graph the function f(x) = -4sin (-2x/3) on the graph below.
Answer:
Explanation:
Here, we want to plot the graph of the given function
The general equation of a sine graph is:
\(y\text{ = Asin(B(x-C)) + D}\)A is the amplitude which translates to a value of 4 here
B can be calculated as follows:
\(\begin{gathered} \text{Period = }\frac{2\pi}{|B|} \\ \\ \text{Period = }\frac{2\pi}{\frac{2}{3}}\text{ = 2}\pi\times\frac{3}{2}\text{ = 3}\pi \end{gathered}\)The period is the distance from peak to peak
C and D has a value of 0
We have the plot as follows;
Hero is in the bowling club. There are 14 students in the club. Of the 14 students, through will be picked at random to attend an award banquet. What is the probability that hero will not be paid to attend the banquet?
Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
“???” is a relationship between two variables where if one variable increases, the other one also increases.
A. no association
B. non-linear association
C. positive association
D. negative assoication
Answer:
C. Positive Correlation
Step-by-Step explanation
Because a positive correlation is a relationship between two variables that move in tandem—that is, in the same direction.
Which of the following is equivalent to (3x+2)(3x+2)(3x-2)
Answer (3x−2)(3x+2)^2
Step-by-step explanation:
2. Students going on a class trip each put 3 suitcases on the tour bus.
The bus driver put 2 suitcases on the bus. There were 68 suitcases
on the bus. How many students, s, were on the bus?
9x-3-8x=7-x solve for x
Answer:
x = 5
Step-by-step explanation:
Simplify both sides :
9x - 3 - 8x = 7 - xx - 3 = 7 - xAdd 3 to each side :
x - 3 + 3 = 7 - x + 3x = 10 - xAdd x to each side :
x + x = 10 - x + x2x = 10Divide by 2 on each side :
2x/2 = 10/2x = 5Answer:
x = 5Step-by-step explanation:
9x-3-8x=7-x solve for x
9x - 3 - 8 x = 7 - x
x - 3 = 7 - x
2x = 10
x = 10 : 2
x = 5
-----------------
check
9 * 5 - 3 - 8 * 5 = 7 - 5
2 = 2
the answer is good
Arithmetic Mean of 128,144,146,143,136,142,138,120,140,152,144,140,150,142,154
Answer: 141.26666666667
Step-by-step explanation: