The equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: [tex]18 = 0.1s[/tex]
How to find the one-nth part of a thing?Suppose that the whole thing is of value V.
Then its one-nth part is symbolically written as: [tex]V \times \dfrac{1}{n}[/tex] (V is divided in n equal part, and each part is called one-nth part of V).
For the considered case, we've got the figures as:
Every seventh grade student at considered school takes one language class. It means, if s = Total number of seventh grade student, then:
[tex]\dfrac{s}{7}[/tex] is the number of students taking language class.
Now, it is said that: One-tenth of the seventh grade students like French, and that they are total 18 in counts.
Writing it symbolically gives:
[tex]\dfrac{s}{10} = 18[/tex]
Since we know that [tex]\dfrac{a}{b} = a \times \dfrac{1}{b}[/tex]
Thus,
[tex]\dfrac{s}{10} = s \times \dfrac{1}{10} = s \times 0.1= 18\\\\0.1 s = 18\\18 = 0.1s[/tex]
(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Thus, the equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: [tex]18 = 0.1s[/tex]
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If possible, use elimination to solve the system of
equations.
5x + 10y = 7
4x + 8y = 3
Hello!
Let's solve this question by using elimination.
5x + 10y = 7
4x + 8y = 3
Let us solve for "y" first by making our "x" variables cancel each other out.
4(5x + 10y = 7)
-5(4x + 8y = 3)
20x + 40y = 28
-20x -40y = -15
0 = 13
Since both the "x" and "y" variables were canceled out after trying to eliminate one of the variables, we can't find a solution since we now have no variables to solve for, therefore there is no solution.
Answer: No solutions
Can you please help me:)
Answer:
The answer is B!
Step-by-step explanation:
If you can figure out one part you can get the second part.
I went for the second part and got 471 so the only answer is b!
Have an amazing day!
Please mark brainliest!
find the point slope equation for the line that passes through the points (-3,2) and (2,12).
use the first point in your equation
Step-by-step explanation:
[tex]slpoe = \frac{12 - 2}{2 - - 3} \\ \frac{10}{5} \\ 2[/tex]
now use point slope formula
[tex]( y - 2) = 5(x - - 3) \\ (y - 2) = 5(x + 3)[/tex]
HELPPPPP!!!!!!!!
Philip and Laura want to build a pool in their backyard. The length and width of the pool can be represented by the equation
f(x) = (x - 5)(3x + 2)feet. What is the area of Philip and Laura's pool? You must show your work, and include your units of
measurement
Answer:
(x² - 13x - 10) sq. ft.
Step-by-step explanation:
f(x) = (x - 5) (3x + 2)
= 3x² + 2x - 15x - 10
= (x² - 13x - 10) sq. ft.
What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)?
Answer:
The quotient of (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)
is 2x2 + 5x + 2.
Step-by-step explanation:
The volume of a right cone is 700 pi units. If its height is 21 units,
find its radius.
Answer:
Step-by-step explanation:
V=1/3 πr²h
700 π=1/3 πr²×21
r²=100
r=√100=10 units
Answer:
r = 10
Step-by-step explanation:
Using the formula:
[tex]V = \pi r^{2} \frac{h}{3}[/tex]
We make r the subject to get:
[tex]r = \sqrt{3 \frac{V}{\pi h} }[/tex]
Now we substitute values given and simplify:
r = [tex]\sqrt{3 \frac{700\pi }{21\pi } }[/tex]
We can cancel out pi from top and bottom:
r = [tex]\sqrt{3 \frac{700 }{21 } }[/tex]
We can do 700÷21 = 33.3333333333
Now we have:
[tex]r = \sqrt{3 *33.3333333333}[/tex]
Simplify to get :
r ≈ 10
What is the slope of a line described by the equation 3y - 4x = -6.
Jasmine wants to raise more than $200 on her walkathon which
takes place Saturday and Sunday. Jasmine earns $8 for every kilometer
she walks. On the Saturday she earned a total of $88. Which graph
shows the number of kilometers she will need to walk on Sunday to
reach her goal?
A
B
Answer:
ok so lets see how much money she needs to earn today
200-88=122
so she needs 122 dollars
so lets see how many km that is
122/8=15.25
so she needs to walk 16 km on sunday
Hope This Helps!!!
Write 2/3 and 3/4 as a pair of fractions with a common denominator.
Answer:
7/8
Step-by-step explanation:
Write an equation that describes the function.
Input, x Output, y
0 0
1 4
2 8
3 12
Which of the following is an equation of a line parallel to the equation
y = 4x +1?
A. y = - 1/4 x-2
B. y = - 4x-2
C. y - 1/4x -2
D. y = 4x-2
please Help! if you can thank you literally
Answer:
A.
Step-by-step explanation:
I'm not sure how to solve it properly, but i graphed it and A was the answer.
1 2 3 or 4 pls help me
Given an equilateral triangle with sides of length 9, find the length of the altitude. Confirm your answer using the
Pythagorean theorem.
Applying the Pythagorean theorem, the length of the altitude is: 7.79 units.
What is the Pythagorean Theorem?The Pythagorean Theorem is given as: c² = b² + a², where c is the hypotenuse.
An altitude of an equilateral triangle bisects the base of the triangle forming equal segments. Therefore, we would have the following:
c = 9
b = 4.5
Length of altitude = a = ?
Thus:
a = √(c² - b²)
a = √(9² - 4.5²)
a = 7.79 units.
Thus, applying the Pythagorean theorem, the length of the altitude is: 7.79 units.
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Work out the value of x. Give your answer to 1 decimal place
The value of x to 1 decimal place is,
⇒ x = 128.2 mm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The figure of triangle is shown.
Here, The length of perpendicular distance = x mm
And, The hypotenuse = 178 mm
Hence, We get;
⇒ sin 34° = x / 178
⇒ 0.72 = x/178
⇒ x = 0.72 × 178
⇒ x = 128.2 mm
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What is the domain and range of quadratic function with vertex.
Answer:
As with any function, the domain of a quadratic function f(x) is the set of x -values for which the function is defined, and the range is the set of all the output values (values of f ). Quadratic functions generally have the whole real line as their domain: any x is a legitimate input. The vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if
[(7+x)^4}^3
Cane some body help me on this
Answer:
[tex]\left(7+x\right)^{12}[/tex]
Step-by-step explanation:
[tex]\left\{\left(7+x\right)^4\right\}^3[/tex]
[tex]\left(\left(7+x\right)^4\right)^3[/tex]
Let's apply the exponent rule:
[tex]\left(\left(7+x\right)^4\right)^3=\left(7+x\right)^{4\times \:3}[/tex]
Multiply 4*3=12
[tex]\left(7+x\right)^{12}[/tex]
~
Hope this helps!
10
Amir buys 3 cakes that cost c cents each and 2 loaves of bread that cost (2c - 11) cents each.
He spends a total of $5.87.
Find the value of c.
The value of c in cents when he bought 3 cakes for c cents and 2 loaves of bread for 2c - 11 cents each is 87 cents.
How to find the cost in cents of each bread using equation?He buys 3 cakes that cost c cents each.
Therefore,
cost of the 3 cakes = 3c
2 loaves of bread that cost 2c - 11 cents each. Therefore,
cost of the two loaf of bread = 2(2c - 11) = 4c - 22
Hence, the total amount he spends can be represented as follows:
5.87 dollars = 587 cents
Therefore,
3c + 4c - 22 = 587
7c = 587 + 22
7c = 609
c = 609 / 7
c = 87
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Please answer with steps
10+|10n+6|=76
Step-by-step explanation:
[tex]10 + |10n + 6 | = 76 \\ \\ |10n + 6 | = 76 - 10 \\ |10n + 6 | = 66 \\ 10n + 6 = 66 \: \: \: \: \: or \: \: \: \: 10n + 6 = - 66 \\ 10n = 66 - 6 \: \: \: \: \: \: \: 10n = - 66 - 6 \\ 10n = 60 \: \: \: \: \: \: \: \: \: 10n = - 72 \\ n = 6 \: \: \: \: \: n = - 7.2[/tex]
Caroline is building a circular fence for her basil garden. She used 29.8 feet of fencing for the fence. What is the radius of the garden?
She used 29.8 feet of fencing for the fence -> The circumference of the circular garden is 29.8ft
Formula for circumference : 2πr
So, the radius is equal to : 29.8 : 2 : π = 4.74281730414... (round to 4.7)
Recheck : 4.7 x 2π = 29.5309709437... (close to 29.8)
phone Your task is to create and design a truss bridge model that shows congruent triangles as its structure. In your illustration, indicate the angle measure and the length of the sides of the triangles.
The truss bridge should depict a congruent triangle by having equal sides and angles.
What is a congruent triangle?It should be noted that the congruence of a triangle simply means that a triangle that has all the three corresponding sides to be equal.
In this case, after designing the truss bridge model, it's important that the sides of the model are equal. Also, the corresponding angles of the model have to be equal too.
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For each point (x,y) in the table, find (2x,2y).
Then sketch the original figure (the (x,y) column) and
image (the (2x, 2y) column).
The (2x,2y) column data is: A'=(-2,-6), B'=(-2,2), C'=(10,2) and D'=(10,-6). See the sketch of the (x,y) column and the (2x, 2y) column in the image 5.
Cartesian GraphThe Cartesian graph presents x-axis (horizontal) and y-axis (vertical) that intercept in the origin (0,0). This type of graph is used to plot x and y coordinates.
The points, in the plane, are represented as (x,y).
Hence for your question:
A=(-1,-3) ⇒ -1 is x-coordinate and -3 is y-coordinate.
B=(-1,1) ⇒ -1 is x-coordinate and 1 is y-coordinate.
C=(5,1) ⇒ 5 is x-coordinate and 1 is y-coordinate.
D=(5,-3) ⇒ 5 is x-coordinate and -3 is y-coordinate.
For solving this question, you should plot the given points on a Cartesian graph.
Step 1 - Draw the Cartesian axesThe result of this step you can see in the image 1.
Step 2 - Plot the points (x,y) column on the Cartesian graph created in the previous step.The result of this step you can see in the image 2.
Step 3 - Join the (x,y) column points .The result of this step you can see in the image 3. Now you see a rectangle.
Step 4 - Find the points for the (2x, 2y) column.Thus, you should multiply x-coordinate and y-coordinate by 2.
A=(-1,-3) ⇒ A'=(-2,-6)
B=(-1,1) ⇒ B'=(-2,2)
C=(5,1) ⇒ C'=(10,2)
D=(5,-3) ⇒ D'=(10,-6)
Step 5 - Plot the (2x, 2y) column points, found in the previous step, on the Cartesian graph, .The result of this step you can see in the image 4.
Step 6 - Join the (2x, 2y) column points .The result of this step you can see in the image 5. Now you see a new red rectangle with dimensions greater than the black rectangle plotted from (x,y) column.
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Pls help asap I’ll give brainliest
Answer:
A.) 3m=r where M is the months he will read and R is the total number of books read.
B.) is 36 Because the equation is 3m=r you factor in the m as 12 because there are 12 months in a year. you get the new equation 3*12=R Finish the equation and you get 36=r
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
no initial amount of books read so y intercept is 0
slope=m=3Now equation in slope intercept form
y=mx+by=3x+0y=3xwhere x is months
Element X decays radioactively with a half life of 15 minutes. If there are 400 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 87 grams?
Answer:
The time it'd take for the element to have 15 g of mass is approximately 68 min.
Step-by-step explanation:
The radioactive decay of a substance is given by the following formula:
Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:
Therefore the mass of the element is given by:
If the initial mass is 760 g and the final mass is 15 g, we have:
The time it'd take for the element to have 15 g of mass is approximately 68 min.
Step-by-step explanation:
Please help me by today! (ratios) I will give brainliest when I can!!:)
Answer:
Step-by-step explanation:
Every 5 ice cream cones a customer buy, they get 1 for free.
It means, every 5 ice cream they buy, they get 6
=> The ratio for it is 5:6
:D
Determine the measure of each angle using the picture below. Assume the two lines are parallel.
Answer:
Step-by-step explanation:
Angle 5 is opposite to 37 => It's equal to 37.
Angle 6 and 7 are supplementary to angle 5 => They are equal to 180 - 37 = 143 each.
Angle 4 is corresponding to Angle 7, and since the 2 lines are parallel, it's equal to 143.
Angle 1 and 3 is supplementary to Angle 4, so they are equal to 180-143 = 37 each
Angle 2 is opposite to Angle 4, so it's equal to 143.
Answer : Angle 1,3,5 = 37
Angle 2,4,6,7 = 143
thanks to all my new followers
Answer:
np
Step-by-step explanation:
Please help it’s urgent !!
Answer:
y= -2
Step-by-step explanation:
The line y = -2 is half way between the 2 shapes (there are 3 squares between the line).
If you were to have a mirror and place it down this line, you would be able to see that the shapes are reflected in the exact same place.
I have attached a photo to help demonstrate what y= -2 looks like :)
Hope this helps!
Answer:
y=-1
Step-by-step explanation:
The line of reflection is y = -1
Find the value of x.
pls help me asap
Answer: 10
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
[tex]14x - 38 = 2(51)[/tex]
[tex]14x - 38 = 102[/tex]
[tex]14x = 102 + 38[/tex]
[tex] \cfrac{14x}{14} = \cfrac{140}{14} [/tex]
[tex]x = 10[/tex]
~
Say you wanted to give someone 35000 berries, but every time you give someone berries, it takes away 30%. How could you calculate the exact amount of berries you would need to give someone 35000 berries.
Answer:
What I understand is that I need to give someone an exact number so that when 30% is taken, they keep exactly 35,000
To make the statement above true, we would need to divide 35,000 by 7 since the answer would be 10% of the number we need. Once we do this we get 5000 which is 10% now we multiply 5000 by 10 to get 100% and we get 50.000 once we give this amount to the person and 30% is taken away they are left with 35,000