Answer:
s/5=b
Step-by-step explanation:
The required expression is n/5 = b
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
We have the variable b to represent the unknown quantity.
The expression,
the number of soda bottles split 5 ways.
That means,
Let n be the number of soda bottles.
So,
using division operation,
n / 5 = b
Therefore, the expression is n/5 = b.
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Earlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (h) above the
ground in yards after a seconds is given by the function:
h(x) = -52% + 100 + 20
What was the maximum height of the rocket?
Solution
The maximum height was reached by the rocket at one second as you found in part b from the previous
example. It takes second to reach the maximum height. We will substitute that value in for x in our
function and simplify.
The maximum height reached by the rocket was 25 yards. What is the time it takes for the rocket to hit
the ground? (Use a graph or any other method to solve.)
It takes approximately 3.2 seconds for the rocket to hit the ground. (Round to the nearest tenth.)
Using quadratic function concepts, it is found that:
It takes 1 second to reach maximum height.The maximum height is of 25 yards.It takes approximately 3.2 seconds for the rocket to hit the ground.The height of the rocket after x seconds is given by:
[tex]h(x) = -5x^2 + 10x + 20[/tex]
Which is a quadratic function with coefficients [tex]a = -5, b = 10, c = 20[/tex].
The maximum height will be a reached at a time of [tex]x_v[/tex], and will be of [tex]y_v[/tex], considering the vertex given by:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a}[/tex]
[tex]\Delta = b^2 - 4ac[/tex]
Then:
[tex]x_v = -\frac{10}{2(-5)} = 1[/tex]
[tex]\Delta = 10^2 - 4(-5)(20) = 500[/tex]
[tex]y_v = -\frac{500}{4(-5)} = 25[/tex]
Thus:
It takes 1 second to reach maximum height.The maximum height is of 25 yards.It hits the ground when [tex]h(x) = 0[/tex], thus:
[tex]-5x^2 + 10x + 20 = 0[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-10 + \sqrt{500}}{2(-5)} = -1.2[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-10 - \sqrt{500}}{2(-5)} = -3.2[/tex]
We want the positive root, so, it takes approximately 3.2 seconds for the rocket to hit the ground.
A similar problem is given at https://brainly.com/question/24705734
hi i need help my lazy -
Answer:
1/4 x (3 x 7) less than
(3 x 7) ÷ 5 less than
(3 x 7) - 8 less than
(3 x 7) ÷ 1 equal to
1 x (3 x 7) equal to
5 + (3 x 7) Greater than
(3x7) x (3-1) Greater than
(3x7) + (1-1) equal to
Step-by-step explanation:
i hope this is right
What is the rate of return when 35 shares of Stock A, purchased for $20/share, are sold for $815? The commission on the sale is $6. Rate of Return = [?] % Give your answer as a percent rounded to the nearest tenth
Cost price:-
[tex]\\ \sf\longmapsto 35\times 20[/tex]
[tex]\\ \sf\longmapsto 700[/tex]
Commision=$6Total sold price=815+6=823$Now
Return=823-700=123
Rate of return
[tex]\\ \sf\longmapsto \dfrac{123}{700}\times 100[/tex]
[tex]\\ \sf\longmapsto \dfrac{123}{7}[/tex]
[tex]\\ \sf\longmapsto 17.5\%[/tex]
The rate of return on the stock will be equal to 17.3%.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Total number of stocks = 35
Purchase price of each stock = $20
Then, the price of 35 stocks will be,
35 × $20 = $700
The selling price of all stocks = $815
Also, the commission for selling is $6.
So, the extra money earned will be,
815 - 700 + 6 = 115 + 6
= $121
So, the rate of return from the original price will be,
= 121/700 × 100
= 12100/700
= 17.3%
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Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: A support structure is shown in which a right triangle PQR is formed with the right angle at Q. The length of PQ is shown as 14 feet, and the length of QR is shown as 6 feet.. Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer, stating the theorem you used. Show all your work. (5 points) Part B: The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth. Show all your work. (5 points)
Answer:
You didn't give us a picture to look at
Step-by-step explanation:
Solve for x.
x ÷ 0.6 = 9.3
x = 5.58
x = 9.9
x = 8.7
x = 15.5
Answer:
x=5.58
Step-by-step explanation:
Answer: 5.58
All the other answers are wrong. You want to subtract both sides to get x alone. I used a calculator.
4×____×1=12 ?=____. please help me solve this question
Answer:
4 x 3 x 1 = 12
12 = 12
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
can anyone explain to me how to do this question ? ty !!
Step-by-step explanation:
use a little imagination.
the whole thing is a combination of churches and half- circles.
and you know the formula for the area of a circle ?
A = pi×r²
so, the only difficulty is to find the circles and then the radius of each involved circle.
when you look at the picture, the shaded area is almost identical to the lower half of the main circle.
2 bumps "look" over into the other side, but one equally sized bump is removed from this lower half.
so, as a first step we will calculate the area of the lower half of the main circle.
the diameter is 24 m, so the radius is half of that : 12m
the area of the large circle is therefore
pi×12² = 144×pi m²
since we only need the (lower) half, we divide this by 2 :
144×pi / 2 = 72×pi m²
the bumps up and down are actually half-circles too. just of smaller circles.
since AB = BC = CD, we know each of these lines are 1/3 of the main diameter AD.
so, the diameter of the smaller circles is 24/3 = 8 m
and their radius is half of that = 8/2 = 4m
the area of such a small circle is therefore
As = pi×4² = 16×pi m²
and a small half-circle area is then
16×pi / 2 = 8×pi m²
so, for the full shaded area I need to take the large half-circle and add 2 small half-circles, and then subtract 1 small half-circle.
so, in total I only need to add 1 small half-circle.
Ashaded = 72×pi + 8×pi = 80×pi m²
Someone plz help me :(
Answer:
28 miles
Step-by-step explanation:
12:3
7:x
12÷3=4
4 miles per hour
7•4=28
I need help with my Algebra 1 ugh plz help! Sorry there’s a typo
Answer:
x + 8 > 11
dot at 11 going to the right.
[tex]\sf 2x+7+8x=35[/tex]
Answer:
x=14/5
Step-by-step explanation:
Group like terms
2x+8x+7=35
Add similar elements: 2x+8x=10x
10x+7=35
Subtract 7 from both sides:
10x+7−7=35−7
Simplify
10x=28
Divide both sides by 10
10x/10 =28/10
Simplify:
x=14/5
Answer:
[tex]2x+7+8x=35[/tex]
[tex]2x+8x+7=35[/tex]
[tex]10x+7-7=35-7[/tex]
[tex]10x=28[/tex]
[tex]\cfrac{10x}{10}=\cfrac{28}{10}[/tex]
[tex]x=\cfrac{14}{5}[/tex]
or
[tex]x=2.8[/tex]
Alexis is selling team cards for her volleyball fundraiser. She expects to sell 4 cards for every 5 houses that she visits. If she wants to sell 20 cards total, how many houses should she expect to visit?
Answer:
5 houses
Step-by-step explanation:
She needs to visit 5 houses as 20 divided by 4 is 5
If 10% is RS 1500 then find 90%.
Answer:
10%=1500
so 100% = 15000
90%= 100% - 10%
15000-1500=13500
90%=13500
please actually help me
Answer:
A.) 6:51
B.)The train at 6:42
C.)34 minutes
Can someone please help me with this question.
Thank you.
Answer:
okay so..
Given
<2 = 110°
• <2 = <4 so <4 = 110°
Step-by-step explanation:
Solution
• <4 is equal with it's front facing angle(the angle next to <1) let's call that angle <x
<4 = <x = 110°
<x + <1 = 180°
110° + <1 = 180°
<1 = 180° - 110°
<1 = 70°
• <4 + <3 = 180°
110° + <3 = 180°
<3 = 180° - 110°
<3 = 70°
cheryis softball batting average in 0.340 and karins is 0.304 kartin says they have the same avarge what error did she make explain
–3.8p + 4.5p − 6.67 = –9.57 + 0.2p how do u solve p?
Answer: p = - 5.8
Step-by-step explanation:
0.7p - 0.2p = -9.57 + 6.67
0.5p = -2.9
p = [tex]\frac{-2.9}{0.5}[/tex]
p = - 5.8
please give me a brainliest answer
The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.
Answer:
F=36
Step-by-step explanation:
F= 12 times 9 divided 3 = 36
The question requires calculating the objects mass in kilogram (kg)
The mass in kg of the objects is 4 kg
Given:
F = ma
Where,
F = Force (N)
M = mass (kg)
a = acceleration (m/s²)
If
F = 12-Newton
m = 3 m/s²
a = ?
F = ma
12 = m × 3
12 = 3m
divide both sides by 3
m = 12/3
m = 4 kg
Therefore, the mass in kg of the objects is 4 kg
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What is the slope of the line on the graph?
Enter your answer in the box.
No links Nothing unrelated
Answer:
6
Step-by-step explanation:
(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6
Consider the system of equations.
y=3x−2−7x−2y=−9
Solve the system of equations algebraically.
Answer:
(x, y) = (-5/13, -41/13)
Step-by-step explanation: (Assuming the following corrections:)
y = 3x-2
-7x-2y = 9
-7x-2(3x-2) = 9
-7x-6x+4 = 9
-13x = 5
x = -5/13
y = -5/13(3) - 2
y = -15/13 - 2 = -41/13
I need help on the one about slope
2x+10=12
so x=??
[tex]\huge \dag \sf{Help \: me}[/tex]
Answer:
[tex]\sf\longmapsto\sf\boxed {x = 1}[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x + 10 = 12[/tex]
[tex]\sf\longmapsto \: \: 2x + 10 - 10 = 12 - 10[/tex]
[tex]\sf\longmapsto \: 2x = 2[/tex]
[tex]\sf\longmapsto \: \frac{2x}{2} = \frac{2}{2} [/tex]
[tex]\sf\longmapsto \: x = 1[/tex]
Answer:
[tex]\boxed {\sf x=1}[/tex]
Step-by-step explanation:
[tex]\sf 2x+10=12[/tex]
[tex]\boxed{\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}}[/tex]
[tex]\sf 2x+10-10=12-10[/tex][tex]\sf 2x=2[/tex][tex]\boxed{\mathrm{Divide\:both\:sides\:by\:}2}[/tex]
[tex]\sf \cfrac{2x}{2}=\cfrac{2}{2}[/tex][tex]\sf x=1[/tex][tex]\boxed{\sf Hope\: it\:helps!}[/tex]
If the spinner shown is spun 40 times,predict the number of times the spinner would land on section A. Give the number of times only
why is -2/4 bigger than -7/12
Answer:
-2/4 can be written as -6/12
in negetive integers:: if the numerical vallues goes on increasing then the numbers are in decreasing order
so, -6/12 > -7/12
but 6/12 < 7/12
hope you understood
brainliest plz
Answer:
Step-by-step explanation:
To compare both fractions should have same denominator.
LCM of 4 and 12 is 12
[tex]\dfrac{-2}{4}=\dfrac{-2*3}{4*12}=\dfrac{-6}{12}[/tex]
[tex]\dfrac{-6}{12} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\\dfrac{-2}{4} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\[/tex]
helppppppppppppppppppppppppppppppppppp
Answer:
24 kilograms of catfish
Step-by-step explanation:
Take the percentage of catfish as a decimal or fraction and multiply it by the total amount of fish caught. The percent of catfish is 40% which is the same thing as 0.4. Multiply that by the total 60 kg of fish to get 24 kg of catfish.
#6.
In the diagram below ABC~DEF, DE=4, AB=x AC=x+2 and DF= x+6
Determine the length if AB
Please help me with this one!
Answer:
x = 2
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{7x}{7}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )
7x² = 28 ( divide both sides by 7 )
x² = 4 ( take square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
Hi, I need help with this question and I don't it is right or wrong answer pls correct me and explain.
Answer:
x=5.5
Step-by-step explanation:
2x+3.50=14.50
2x=14.50-3.50
2x=11
x=11/2
x=5.5
Option B
Let's Find x
[tex]\\ \sf\longmapsto 2x+3.50=14.50[/tex]
[tex]\\ \sf\longmapsto 2x=11[/tex]
[tex]\\ \sf\longmapsto x=11/2=5.5[/tex]
WHAT IS THE MEASURE OF ANGLE A
WHAT IS THE MEASURE OF ANGLE B
WHAT IS THE MEASURE OF ANGLE C
Answer:
∠A = 100
∠B = 50
∠C = 30
Step-by-step explanation:
Sum of all angles of triangle = 180
∠A + ∠B + ∠C = 180
2x +x + x - 20 = 180 {Combine like terms}
4x - 20 = 180
Add 20 to both sides
4x = 180 + 20
4x = 200
Divide both sides by 4
x = 200/4
x = 50
∠A = 2x = 2*50 = 100
∠B = x = 50
∠C = x - 20 = 50 - 20 = 30
3(x − 5) − 5x = −25 + 6x
x=5/4
the explantion would be to long lol
Answer:
x = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
3(x - 5) - 5x = - 25 + 6x ← distribute parenthesis and simplify left side
3x - 15 - 5x = - 25 + 6x
- 2x - 15 = - 25 + 6x ( subtract 6x from both sides )
- 8x - 15 = - 25 ( add 15 to both sides )
- 8x = - 10 ( divide both sides by - 8 )
x = [tex]\frac{-10}{-8}[/tex] = [tex]\frac{5}{4}[/tex]
what is 5713 – 75 =
show your workings out
Answer:
5713 - 75
= 5638
Step-by-step explanation:
brainliest plz
what is the value of x for 10x+1=3(4x+2)-3?
Answer:
x= 7
Step-by-step explanation:
Answer:-1
Step-by-step explanation:
10x+1=3(4x+2)-3
10x+1=12x+6-3
10x+1=12x+3
1=2x+3
-2=2x
1=x