Answer:
17 mphStep-by-step explanation:
Miguel's speed = m, Raul's speed = rGivenm = 4rDistance = 68 milesTime difference = 3 hoursSolutiontime = distance/speedSubstitute values and solve for r the equation of the time difference:
68/m + 3 = 68/r68/4r + 3 = 68/r17/r + 3 = 68/r17 + 3r = 683r = 68 - 173r = 51r = 17Raul's speed is 17 mph
Answer:
[tex] \huge \boxed{ \boxed{ \red{ \tt17 \: mph}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationequation word problemsPEMDASgiven:Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycletips and formulas:t=d/sto findhow fast can Raul ride his bicyclelet's solve:let's the speed of Raul be x
likewise
Miguel can drive 4 times as fast as Raul can ride his bicycle
therefore
4x
according to the question
[tex] \sf \frac{68}{4x}+3=\frac{68}{x}[/tex]
[tex] \implies \sf \frac{68 + 12x}{4x} = \frac{68}{x} [/tex]
[tex] \sf factor \: out \: 4 \: and \: reduce \: it : \\ \sf \implies \frac{4(17 + 3x)}{4x} = \frac{68}{x} \\ \\ \implies\sf \frac{17 + 3x}{x} = \frac{68}{x}[/tex]
[tex] \sf multipy \: both \: sides \: by \: x : \\ \sf \implies (\frac{17 +3 x}{x} )x = (\frac{68}{x} )x \\ \implies \sf 17 + 3x = 68[/tex]
[tex] \sf cancel \: 17 \: from \: both \: sides : \\ \implies \sf 17 - 17 + 3x = 68 - 17 \\ \implies \sf 3x = 51[/tex]
[tex] \sf divide \: both \: side s \: by \: 3 : \\ \sf \implies \frac{3x}{3} = \frac{51}{3} \\ \therefore x = 17[/tex]
Gina has one-third scale model of a three-dimensional solid, meaning that all lengths
of the model are 1/3 of the corresponding lengths in the full-size solid. If the volume of
Gina’s model is 20 cubic inches, what is the volume of the full-sized solid?
Answer:
volume is 540 inches^3
Step-by-step explanation:
The computation of the volume of the full sized solid is given below:
The length would be
[tex]\frac{a}{3}, \frac{b}{3}, \frac{c}{3}[/tex]
And, the volume is
[tex]\frac{a}{3} \times \frac{b}{3} \times \frac{c}{3}[/tex]
As the volume is given 20 cubic inches
So,
[tex]\frac{abc}{27} = 20\\\\abc = 540 inches^3[/tex]
hence, volume is 540 inches^3
what is this 3d shape called
Answer:
The name of the shape is Hexagonal Prism
PLEASE HELP!!!
what is the length of segment SR? units
Answer:
Its 12
Step-by-step explanation:
Plot the x-intercepts and make a sign chart that represents the function shown below
Step-by-step explanation:
step 1. the x intercepts (called zeros) are where y = 0 or where the graph is on the x axis
step 2. the zeros are -3, 0, 2, 5.
step 3. therefore there are 5 intervals
step 4. ( ,-3) - f(x) = "-"
step 5. (-3, 0) - f(x) = "+"
step 6. (0, 2) - f(x) = "+"
step 7. (2, 5) - f(x) = "-"
step 8. (5, ) - f(x) = "+".
A function assigns the values. The x-intercept for the given function is -3, 0, 2, and 5.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function can be rewritten as,
f(x) = x²(x-5)(x+3)³(x-2)
f(x) = (x-0)² (x-5) (x+3)³ (x-2)
Now, the value of x in the given function, or the x-intercept can be found by substituting the value of the factors of function as 0.
0 = (x-0)² (x-5) (x+3)³ (x-2)
(x-0)² = 0
x = 0
x-5 = 0
x = 5
x+3 = 0
x = -3
x - 2 = 0
x = 2
x = -3, 0, 2, 5
Hence, the x-intercept for the given function is -3, 0, 2, and 5.
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final solution to the system of equations given below
x=-4
5x+4y=-10
Answer:
(-4, 5/2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Coordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x = -4
5x + 4y = -10
Step 2: Solve for y
Substitution
Substitute in x: 5(-4) + 4y = -10Multiply: -20 + 4y = -10[Addition Property of Equality] Add 20 on both sides: 4y = 10[Division Property of Equality] Divide 4 on both sides: y = 10/4Simplify: y = 5/2fen bilimleri sorusu limana yaklaşan bir geminin önce gövdesimi görünüyorduuuuu yoksa bacasımı ¿¿¿¿ ^-^
Answer:
ilk önce en ön kısmı gözükür
bacası öndeyse bacası gözükür
şöyle düşün elinde bir top var ve bir gemi gemiyi topun altindan yukariya doğru götürüyorsun ve ilk en öndeki kısmı gözükür
Evaluate the expression: 16.2 x 2 + 1/2 x 8.5 x 12
Answer:
83.4
Step-by-step explanation:
16.2 x 2
=
32.4 +
1/2 x 8.5 x 12
=
51 + 32.4 = 83.4
Hope this helps!
Is (2, 1) a solution to this system of equations?
4x + 12y = 20
x + y = 3
yes
no
Answer:
yes
I hope to help you
my dear
Answer:
no
Step-by-step explanation:
4(2)+12(1)=20
8 + 12 =20
20 = 20
Which polynomial represents the sum below? (-x^3 + 3x^2 + 3) + (3x^2 + x + 4)
Answer:
Cddd
Step-by-step explanation:
Write the recurring decimal 0.1 as a fraction in its simplest form
Answer:
1/9
Step-by-step explanation:
lol
The bus driver has driven 49 miles this morning. His route is 123 miles. How much further must he drive to finish his route
Answer:
74 miles
Step-by-step explanation:
Answer:
74 miles
Step-by-step explanation:
123-49=74
(3.5 x 10^5) : (7x10^8)
What is the answer to this question?
: is divide
Answer:
5 • 10^-4 I evaluate this by using scientific notation.
The value of the ratio (3.5 x 10⁵) : (7x10⁸) is 0.0005.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
To solve (3.5 x 10⁵) : (7x10⁸), we can simplify the expression by dividing the numerical coefficients and dividing the exponents separately.
Dividing the numerical coefficients 3.5 and 7, we get:
3.5 ÷ 7 = 0.5
Dividing the exponents 5 and 8, we get:
10⁵ ÷ 10⁸ = 10⁵⁻⁸
= 10⁻³
Therefore, the simplified expression is:
0.5 x 10⁻³
We can further simplify this expression by converting 10⁻³ to a decimal:
10⁻³ = 1/1000 = 0.001
So, the final answer is:
(3.5 x 10⁵) : (7x10⁸) = 0.5 x 10⁻³
= 0.5 x 0.001
= 0.0005
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Prior to the Academy Awards ceremony in 2009, the United Kingdom bookmaker Ladbrokes reported the following odds for winning an Oscar in the category of best actress (The Wall Street Journal, February 20, 2009).
Best Actress Movie Odds
Anne Hathaway Rachel Getting Married 2:11
Angelina Jolie Changeling 1:20
Melissa Leo Frozen River 1:33
Meryl Streep Doubt 3:10
Kate Winslet The Reader 5:2
a. Express the odds for each actress winning as a probability. (Round your answers to 3 decimal places.)
Best Actress Probability
Anne Hathaway
Angelina Jolie
Melissa Leo
Meryl Streep
Kate Winslet
Answer:
Anne Hathaway: 0.154 = 15.4%
Angelina Jolie: 0.048 = 4.8%
Melissa Leo: 0.029 = 2.9%
Meryl Streep: 0.231 = 23.1%
Kate Winslet: 0.714 = 71.4%
Step-by-step explanation:
Odds to probability:
Odds of a:b
The probability is given by:
[tex]p = \frac{a}{a+b}[/tex]
Anne Hathaway 2:11
So [tex]p = \frac{2}{2+11} = \frac{2}{13} = 0.154[/tex]
Angelina Jolie 1:20
So [tex]p = \frac{1}{1+20} = \frac{1}{21} = 0.048[/tex]
Melissa Leo 1:33
So [tex]p = \frac{1}{1+33} = \frac{1}{34} = 0.029[/tex]
Meryl Streep 3:10
So [tex]p = \frac{3}{3+10} = \frac{3}{13} = 0.231[/tex]
Kate Winslet 5:2
So [tex]p = \frac{5}{5+2} = \frac{5}{7} = 0.714[/tex]
Find angle picture below
Answer:
Angle C = 28°
Angle D = 59°
Angle DEC = 63°
I need help with this also
Answer:
Part A: $336.4
Part B:279.2645625
Step-by-step explanation:
$320+5.125% tax = 336.4
Part B:$279.2645625-5.125% tax = 279.2645625 bucks.
Thank you and good luck cheating
What is the GCF of 4 and 8? *
Answer:
i think it is for 4 it is 2 and for 8 it is 4 hope this helps
Step-by-step explanation:
Enter a phrase for the expression. 49s
Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows. 58 preferred comedies. 38 preferred variety shows. 44 preferred serious drama. 19 preferred comedies and variety programs. 14 preferred variety and serious drama. 15 preferred comedies and serious drama. 7 preferred all types. 5 did not like any of these TV show types. If you were the personnel manager, would you hire Matt on the basis of this survey
Answer: No, I wouldn't because he didn't do what he was told.
Step-by-step explanation: Using Matt's survey we draw a Venn Diagram.
Venn Diagram is a diagram used to show the logical relationship between two or more set of items.
The survey Matt did is represented below.
To construct the diagram:
1) Create 3 sets of data (represented by the circles) intersecting each other;
2) The space where the three intersect is the number of people surveyed that preferred all types. So, we write 7 in the space;
3) According to the research, 19 preferred comedies and variety. But there are already 7 in the intersect, so, 12 has those preferences;
4) Following the same logic, 14 preferred variety and drama. Then, 7 has those preferences;
5) And, 8 preferred comedy and drama;
6) Now, to determine how many of them has an exclusive preference, we take the data and subtract the already known values:
Comedy: 58 - 12 - 7 - 8 = 31;Variety: 38 - 12 - 7 - 7 = 12;Drama: 44 - 8 - 7 - 7 = 22;7) 5 don't like any of the types, so it is represented outside the three circles;
After creating the Diagram, we can determine how many people answered the poll:
total = 31 + 12 + 12 + 8 + 7 + 7 + 22 + 5
total = 104
Therefore, as a personnel manager, I wouldn't hire Mr. Matic because he was supposed to poll 100 people but he polled 104 people.
4x -(9 - 3x) = 8x -1
Answer:
x = -8
Step-by-step explanation:
4x - (9 - 3x) = 8x - 1
remove parenthesis
4x - 9 + 3x = 8x - 1
add 9 to both sides
4x + 3x = 8x + 8
subtract 8x from both sides
-x = 8
x = -8
The solution to the equation 4x - (9 - 3x) = 8x -1 is x = -8
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
4x - (9 - 3x) = 8x -1
Open the brackets
So, we have
4x - 9 + 3x = 8x - 1
Evaluate the like terms
So, we have the following representation
7x - 9 = 8x - 1
Next, we have
8x - 7x = 1 - 9
So, we have
x = -8
Hence, the solution is x = -8
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(giving brainiest)
A bottle holds 2 pints. A carton holds 3 cups. What is the total the two containers hold in fluid ounces?
A. 6 fluid ounces
B. 32 fluid ounces
C. 56 fluid ounces
D. 66 fluid ounces
Answer:
your answer is c (56 fluid ounces)
Step-by-step explanation:
A. a scientist is studying the change in population for two species of fish in a lake. The table shows how the numbers of each species changed during a 4-year period.
YEAR: 1; 2; 3; 4
FISH A: 500; 520; 540; 560; 580
FISH B: 400; 430; 460; 490; 520
The scientist uses a linear model to predict future populations of both fish. Explain why, given the data in the table, population of fish A and the population of fish B can be modeled using linear equations.
Answer:
The data can be modeled using linear equatins, because there's the same amount of population for fish A (+20 per year) and fish B (+30 per year) every year.
Use structure: How is subtracting -4x from 9x similar to subtracting -4 from 9?
Answer:
It is the same thing except for subtracting -4x and 9x, you subtract -4 and 9 and just add x at the end
What is the slope of a line that is perpendicular to the line y = 1/6x + 4
The slope of the line is
Answer:
-1/6x
Step-by-step explanation:
for a slope to be perpindicular it has to be the opposite.
Hello there! :)
Perpendicular lines have slopes that are opposite reciprocals. It means that if we have a number, we flop it over and make it negative.
We have 1/6.
We flop it over:
6/1
Now, we make it negative:
-6/1
-6/1 simplifies to
-6
Hope it helps!
If you have any question, feel free to ask!
~An excited gal
[tex]MagicalNature[/tex] here to help :)
WILL GIVE BRAINLIEST FOR RIGHT ANSWER.
Russia bought 9 books for $3 each sold them making a profit of $18 for what price did she sell each book?
Answer:
$45
Step-by-step explanation:
Profit= $18
Books = 9
Sold each at = $3
So, total CP (Cost Price)= 9*3 = $ 27
Also Profit = SP - CP
Therefore, SP = Profit + CP
= 18 + 27 = $45
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall. Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches. What is the length (to the nearest tenth of a foot) of the tree’s shadow that will allow the tree to be cut down?
Answer:
create a proportion 72/348 = 32/x
Step-by-step explanation:
x = 1682
1682 ÷ 12 = 140.1
The length of the tree’s shadow that will allow the tree to be cut down will be 150.5 inches.
What are ratio and proportion?
A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall.
29 feet = 348 inches
6 feet 2 inches = 74 inches
Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches.
Then the length of the tree’s shadow that will allow the tree to be cut down will be
Let x be the tree’s shadow. Then we have
x / 348 = 32 / 74
x = 150.486
x ≅ 150.5 inches
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Write an equivalent expression. 4x - x
Answer:
5x-2x
Step-by-step explanation:
4x-x = 3x
so,
5x-2x = 3x
The equivalent expression would be; 5x-2x
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
We are given that the expression as; 4x - x
We need to find an equivalent expression.
Therefore, solving further;
4x-x = 3x
Thus, we can also create one expression as;
5x-2x = 3x
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Please help me please ! Also the answer is not a
Answer:
The answer is c
Step-by-step explanation: Since both terms are perfect squares, factor using the difference of squares formula to get the answer i hope this helps
Hey there!
The answer is C.
To factor an expression, you take the root (same as exponent variable has) of the terms and put them into parantheses. We can also check the choices to see if they're correct by solving them.
A is incorrect, because if you solve it, you would have [tex]x^2-121[/tex]
B is incorrect, because if you solve it, you would have [tex]121x-x^2[/tex]
C is correct, because if you solve it, you would have [tex]121-x^2[/tex]
D is incorrect, because it CAN be factored.
Have a super awesome day! :)
plz help i have 9 min and i dont understand plz help worth 20 points
Answer:
no question
Step-by-step explanation:
. A un concierto asistieron 10000 personas , lo que representó un total de
$6600000 en ingresos por venta de boletos. Había boletos de dos precios
de acuerdo con la proximidad al escenario: general ($500) y preferente
($1300). ¿Cuántos boletos de cada tipo se vendieron?
Answer:
Número de boletos general = 8000
Número de boletos preferente = 2000
Step-by-step explanation:
Total de personas = 10000 personas
Venta total = $6600000
Ecuación para la venta total en terminos de boletos vendidos:
Número de boletos general = variable g
Número de boletos preferente = variable p
$500g + $1300p = $6600000
Simplifica la ecuación:
5g + 13p = 66000
Subsituye una de las variables usando la ecuación g + p = 10000:
g + p = 10000 => g = 10000 - p
5g + 13p = 66000 => 5(10000 - p) + 13p = 66000
Aislar la variable p:
5(10000 - p) + 13p = 66000
50000 - 5p + 13p = 66000
8p = 16000
p = 16000/8 = 2000
g = 10000 - p = 10000 - 2000 = 8000
Número de boletos general = 8000
Número de boletos preferente = 2000