Answer:
1. [tex]Dexter = 11:5[/tex] [tex]Lena = 9:4[/tex]
2. [tex]Dexter = \frac{11}{5}[/tex] [tex]Lena = \frac{9}{4}[/tex]
3. [tex]Dexter = \frac{44}{20}[/tex] [tex]Lena = \frac{45}{20}[/tex]
4. [tex]\frac{45}{20} > \frac{44}{20}[/tex]
Step-by-step explanation:
Given
Dexter
[tex]Science\ Fiction = 11[/tex]
[tex]History = 5[/tex]
Lena
[tex]Science\ Fiction = 9[/tex]
[tex]History = 4[/tex]
Solving (1): Write as ratio
Represent Science Fiction with S and History with H
For Dexter;
[tex]Ratio = S : H[/tex]
[tex]Dexter = 11:5[/tex]
[tex]Lena = 9:4[/tex]
Solving (2): Write ratio as fraction
[tex]Fraction = \frac{S}{H}[/tex]
[tex]Dexter = \frac{11}{5}[/tex]
[tex]Lena = \frac{9}{4}[/tex]
Solving (3): Write as a common denominator
[tex]Dexter = \frac{11}{5}[/tex]
Multiply by [tex]\frac{4}{4}[/tex]
[tex]Dexter = \frac{11}{5} * \frac{4}{4}[/tex]
[tex]Dexter = \frac{44}{20}[/tex]
[tex]Lena = \frac{9}{4}[/tex]
Multiply by [tex]\frac{5}{5}[/tex]
[tex]Lena = \frac{9}{4} * \frac{5}{5}[/tex]
[tex]Lena = \frac{45}{20}[/tex]
Solving (4): Compare both fractions
By comparison;
[tex]\frac{45}{20}[/tex] is greater than [tex]\frac{44}{20}[/tex]
So, we have:
[tex]\frac{45}{20} > \frac{44}{20}[/tex]
Answer:
d
Step-by-step explanation:
The formula for the remaining volume of fuel in a cars tank is I - E • D, where I is the initial volume of fuel, E if the fuel efficiency, and D is the distance traveled. Carson drove a distance of 120 kilometres. He initially had 30 litres of fuel, and his car's fuel efficiency is 100 cubic centimetres per kilometer. What calculation will give us the estimated volume of fuel left in Carson's tank by the end of the drive, in litres? a)30-100/1000 • 120 b)30•1000-100•20 c)30/1000 -100•120 d)30-100•1000•120
Answer:
a)30-100/1000 • 120
Step-by-step explanation:
Given:
Remaining volume of fuel in a cars tank = I - E • D
where,
I = initial volume of fuel
E = fuel efficiency
D = distance traveled.
Carson
I = 30
E = 100
D = 120
Estimated volume of fuel in Carson's tank = I - E • D
= 30 - 100/1000 * 120
a)30-100/1000 • 120
Answer:
A (30-(100/1000)x120)
Step-by-step explanation:
I is a volume quantity, D is a distance quantity, and E is a rate measured as volume/distance.
So ExD gives us volume quantity.
Distance units are consistent (kilometers) but the volume units of E are inconsistent with those of I and the desired answer.
Let's convert E to liters per kilometer. We will use the fact that there are 1000 cubic centimeters per liter.
You get: 30 liter - 100/1000 liters/kilometer x 120 kilometers
In conclusion, this is the calculation that will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters:
30-100/1000x120.
Hope this helps!
URGENT PLEASE I URGENTLY NEED HELP I REALLY DONT WANT TO FAIL
Answer:
Yes, it should work.
Step-by-step explanation:
DC=AB (because it is a rectangle and they are parallel)
DA=CB (because it is a rectangle and they are parallel)
DB=AC (given)
Those are all sides and gives enough information for us to know that it is congruent.
Mr.Afzal bought an article for Rs4400 for 3years at 8 percent what was the interest charge?
pls solve this question iwill mark as brainlist.
[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Here , the given data is :
Principal = Rs 4400 . ( P )Time = 3 years . ( T ) Rate of Internet = 8% . ( R )We can calculate Simple Interest using ,
[tex]\boxed{\purple{\bf Simple\: Interest=\dfrac{P\times\:R\:\times\:T}{100}}}[/tex]
On substituting the respective values ,
⇒ SI = P × R × T / 100.
⇒ SI = Rs 4400 × 8 × 3 / 100 .
⇒ SI = Rs 44 × 8 × 3 .
⇒ SI = Rs 1,056 .
Hence the required Interest is Rs 1,056.
What is the answer? Please explain how to answer it too.
Answer:
x=15
Step-by-step explanation:
8x=120
8x/8=120/8
x=15
Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:
Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?
Answer:
The Answer is Actually D. I just took the Test and got it Correct! have a Great Day.!!
Step-by-step explanation:
The true statement is that both plans will not amount to $8000 in the end
The target savings is given as:
[tex]Target = \$8000[/tex]
The amount saved after a year is given as:
[tex]Savings = \$4000[/tex]
Start by calculating the amount saved each month (by dividing the saved amount by 12)
[tex]Monthly = \frac{\$4000}{12}[/tex]
For option (A): To increase the wedding by 2 months.
This means that the duration of savings would be 22 months.
So, the estimated savings would be
[tex]Estimate= \frac{\$4000}{12} \times 22[/tex]
[tex]Estimate= \$7333[/tex]
For option (B): Increase savings by $80.
This means that they have 8 months to complete their savings
The estimated savings would be
[tex]Estimate= \$4000 + (\$80 + \frac{\$4000}{12}) \times 8[/tex]
[tex]Estimate= \$7307[/tex]
For both plans, the estimated savings are short of the target savings of $8000.
Hence, none of the plans would amount to $8000 in the end
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1. SIMPLIFY EACH EXPRESSION:
8x2 - 7x + 4x3 - 2-3x2 + 9x - 4
5(7 + 3x) - 12
2[z + 3) + 3(5 – 3z)
Answer:
1. 8x2 - 7x + 4x3 - 2-3x2 + 9x - 4 = 16+2x
Step-by-step explanation:
1. Multiply all the multiplication problems (should look like this --> 16-7x+12-2-6+9x-4)
2. Calculate the sum or difference (should end up looking like this --> 16-7x+9x) and then into this (16 +2x)
Bringing us to the answer → 16 + 2x!
Can anybody help. Express the following in Standard form. -108/204 please reduce it to the lowest form. Help will give the brainliest.
Answer:
-9/17
Step-by-step explanation:
Please help guys, I’d really appreciate it... using FOIL, solve:
(x + y + 3)(x + y - 4)
Answer:
X^2+xy-x+y^2-y-12
Step-by-step explanation:
I think i did it right but if not comment back and i'll try again.
PLEASE HELPPPP MEEEEEEEE pleaseeee
-0.5
Step-by-step explanation:
Negative , has low correlation
Imani is making costumes for a play. She spent $146.58 on 21 yards of fabric. Write and solve an equation to find how much Imani paid for each yard of fabric.
Multiple choice question.
A)
21p=146.58; $6.98 per yard
B)
146.58p=21; $0.14 per yard
C)
146.58(21)=p; $3078.18 per yard
D)
21p=146.58; $3078.18 per yard
Answer:
A
Step-by-step explanation:
21 yards and Total cost of $146.58
p = 1 yard
Equation: 21p = 146.58
p = 146.58/21
p = 6.98
21p=146.58 will describe the equation and the amount paid for each yard is $6.98 so option (A) will be correct.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Amount of fabric = 21 yards
Since cost per yard of fabric is given by p
So,
The total cost of fabric = Amount of fabric × cost per yard
146.58 = 21p
21p=146.58
Now,
p = 146.58/21 = 6.98.
Hence "21p=146.58 will describe the equation and the amount paid for each yard is $6.98".
For more about the equation,
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I’m so confused please explain and help! The most explanation with the reasonable answer gets BRAINLIEST
Answer: I say Mike because when you multiply it you end up getting 4 for Mike
Step-by-step explanation:
Answer:
pete ran the furthest at 4 miles
Step-by-step explanation:
pete = 4
jan=3.33
cissy=2.1
mike=2.4
Which scale factors produce an expansion under a dilation of the original image?
Select each correct answer.
−8
−0.7
0.8
7
Answer:
The correct answer is -8 and 7
Hope you have a wonderfull day :)
RS=2x, ST=5x+4, and RT=32
From the information given ,the value of x is 4
What is a line segment?A line segment is simply defined as the portion of a line connecting two points that are known to be the endpoints.
From the information given, we have that;
Line RS has three segments which are line RS, Line ST and line RT, also S is the midpoint between points R and T
Given that;
Line RS = 2xLine ST = 5x + 4Line RT = 32Then,
RS + ST = RT
Substitute the values
2x + 5x + 4 = 32
collect like terms
7x + 4 = 32
7x = 32 - 4
7x = 28
Make 'x' the subject
x = 28/ 7
x = 4
Thus, the value of x is 4
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Find a value for k such that the following trinomial can be factored x^2-8x+k
Answer:
16
Step-by-step explanation:
x^2-8x+k is a quadratic expression of the form ax^2 + bx + c. Here a = 1, b = -8 and c = k. Focus on x^2-8x and complete the square as follows: Take half of the coefficient of x (that is, take half of -8) and square the result:
(-4)^2 = 16; if we now write x^2-8x+ 16, we'll have the square of (x - 4): (x -4)^2.
Thus, k = 16 turns x^2-8x+k into a perfect square.
Convert 3x - 5y = 30 into Slope-Intercept Form
1) y = -3x - 6
2) y = -3x + 5y + 30
3) y = 3/5x - 6
4) y = 5/3x - 6
1
What is the length of a
segment when the
coordinates of its endpoints
are (-4, 5) and (-6, 9)?
a) 5V2 units
b) 2V5 units
c) V2 units
d) 5
e) 10 units
V5 units
Ssolve y=2x+4. y=-3-1
A city library checked out 8,393 books last month. The library checked out 1,188 books this month how many books were checked out in two months together
Answer:
9581
Step-by-step explanation:
8393 + 1188 = 9581
Use the diagram and the given angle measure to find the other three measures.
Answer:
m∠2 = 37°
m∠3 = 143°
m∠4 = 37°
Step-by-step explanation:
From the figure attached,
Two arms of the scissors represent he two lines intersecting each other at a point forming pairs of vertical angles ∠1, ∠3 and ∠2, ∠4.
By the definition of vertical angles,
∠1 ≅ ∠3 and ∠2 ≅ ∠4
Since, m∠1 = 143°
Therefore, m∠1 = m∠3 = 143°
m∠1 + m∠2 = 180° [Since linear pair of angles are supplementary]
143° + m∠2 = 180°
m∠2 = 180° - 143° = 37°
Therefore, m∠2 = m∠4 = 37°
please help! will give brainliest! financial lit.!
What is the difference between profit and revenue?
a. Revenue is the amount of income earned before paying costs of production, while profit is the financial benefit gained after paying costs of production.
b. Profit is the quantity of goods supplied, and revenue is the quantity of goods demanded.
c. There is no difference; the terms are interchangeable.
d. Profit is the amount of income earned before paying costs of production, while revenue is the financial benefit gained after paying costs of production.
Answer:
a. Revenue is the amount of income earned before paying costs of production, while profit is the financial benefit gained after paying costs of production.
Step-by-step explanation:
Answer:
The answer is indeed A
Step-by-step explanation:
..........
5(2x-3)=24
Help me in this pleasee
Answer:
x = 3.9
Step-by-step explanation:
5(2x-3)=24
Distribute
10x -15 = 24
Add 15 to each side
10x-15+15 = 24+15
10x = 39
Divide each side by 10
10x/10 = 39/10
x = 3.9
Please help me it’s due today I appreciate your work! I will give you bl
Answer:
3 i think
Step-by-step explanation:
What is the decimal version of -1/4?
Answer:
[tex]-\frac{1}{4}=-0.25[/tex]
Step-by-step explanation:
hope it helps and fell free to put brainist
simplify the expressions
1.) 6(–2y) – 9 + 4(–2y + 6)
2.) 5(b – 4) + 12
Step-by-step explanation:
1) -12y -9 -8y +24= -20y +15
2) 5b -20 +12= 5b-8
Answer:
1. -20y-3. 2. 5b-8
Step-by-step explanation:
1. -12y-9-8y+6
-20y-3
2. 5b-20+12
5b-8
What is the equation of this line?
y= 2x - 3
y= 3x - 2
y= 1/3x - 2
y= 1/2x - 3
Answer:
y= 3x - 2
Step-by-step explanation:
The line passes through (0, -2). '-2' is the y-intercept.
The line passes through the points (2,4) and (1,1).
[tex]m=\frac{rise}{run}=\frac{1-4}{1-2}=\frac{-3}{-1}=3[/tex]
The equation should be y= 3x - 2.
Hope this helps.
Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points
(2, -1) and (10, 7).
y =
x+
Answer:
y = ✔ 1x+ ✔ -3
Step-by-step explanation:
The equation of the line passing through the points (2, -1) and (10, 7) is y = x - 3.
What is the point slope form of the equation of a line?The point slope form of a line is given by -
y - y₁ = m(x - x₁)
Given is a line that passes through the points (2, -1) and (10, 7).
The point - slope form of a line is given by the general equation -
y - y₁ = m(x - x₁)
We will find the slope of the line as follows -
m = (7 + 1)/(10 - 2) = 8/8 = 1
The line passes through the point (2, -1), so we can write the equation of line as -
y - (- 1) = x - 2
y + 1 = x - 2
x - y = 3
y = x - 3
Therefore, the equation of the line passing through the points (2, -1) and (10, 7) is y = x - 3.
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how can you solve quadratic equation in one variable using factoring method?
The steps are;
look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant and the coefficient of x²Factor the common value from both brackets and get the required variableLet us assume the quadratic equation x² - 2x + 1 = 0
To solve this by factoring;
Step 1: We will first look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant andthe coefficient of x²
For the given equation, the two values are -1 and -1
The quadratic equation becomes;
x² - 1x - 1x + 1 = 0
x² - x - x + 1 = 0
(x²-x)-1(x-1) = 0
Step 2: Factorize the common value from both brackets
x(x-1)-1(x-1) = 0
x-1 = 0 and x - 1 = 0
x = 1twice
The given steps are the ways you can solve quadratic equations in one variable using factoring method
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Help please ;^;^;^;^;^;^;^;^;^;
Answer:
10n+10=8n-10
n= -10
I hope this helps
While performing a vertical line test on a graph, you notice that the graph intercepts the vertical line twice. Which of the following correctly interprets the result of the test?
Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function.
Because the vertical line intercepted the graph more than once, the graph is of a function, but it is not a relation.
Because the vertical line did intercepted the vertical line exactly twice, the graph is a function and relation.
Because the vertical line intercepted the graph exactly twice, the graph is a function.
Answer:
The correct option is;
Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function
Step-by-step explanation:
Given that a function maps a given value of the input variable, to the output variable, we have that a relation that has two values of the dependent variable, for a given dependent variable is not a function
Therefore, a graph in which at one given value of the input variable, x, there are two values of the output variable y is not a graph of a function
With the vertical line test, if a vertical line drawn at any suitable location on the graph, intercepts the graph at more than two points, then the relationship shown on the graph is not a function.
Answer:
a
Step-by-step explanation:
Answer plzzzzzzzzzzzzzzz
Answer:
1 63636363 /1000000000
Step-by-step explanation:
Since it is 1. ..., it would be a mixed number with the 1 out front. There are 9 numbers after the decimal, making the denominator one billion, and then take the actual numbers (63) and make them the numerator.
