Answer: y=10.50x
Step-by-step explanation:
The y in this equation represents the dependent varible which is our output what we are solving for. We know that Rafeal gets $10.50 per hour but we don't know how many hours he works so to represent the time we use the variable x. If we were to solve this we would take the hours that he worked and multiplied the number of hours by $10.50 to get y the cost which he earns.
The equation that represents the given statement will be equal to y = 10.50(x) and y is the dependent variable.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the data mentioned in the question,
Earning made by Rafael per hour = $10.50
Let the number of hours working is x.
Then, the equation that represents the given statement,
y = 10.50(x)
Here, y is the total money earned by Rafael.
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Which of the following situations are equal to 50%? Select all that apply. A) 3 out of 6 B) 9 out of 18 C) 9 out of 12 D) 16 out of 32 E) 42 out of 84
the turnout for the game is expected to reach 80,000 fans of which 57% expected to drive. An average of three fans come in each vehicle 2000 vehicles park in satellite lots the rest of the vehicles parked in the stadium lot how many vehicles parked in the stadium lot
Answer:
13,200 vehicles
Step-by-step explanation:
57% of 80,000 is 45,600
3 people per car for 2000 vehicles is 6,000
45,600-6,000=39,600
lastly 39,600/3=13,200
Victoria wants to purchase a skateboard. This weekend, the skateboard she wants is on sale for $140.25, 15% off the original price. Victoria cannot make it to the store this weekend. What price will she pay for the skateboard?
Answer:
$161.29
Step-by-step explanation:
140.25 increase 15% =
140.25 × (1 + 15%) = 140.25 × (1 + 0.15) = 161.2875
7x+1/2(x+1/4)=3(6x-9)-8
Answer:
x = 381/24 = 3 29/84
Step-by-step explanation:
7x + 1/2(x + 1/4) = 3(6x - 9) - 8
Use the distributive property to multiply 1/2 by x + 1/4.
7x + 1/2x + 1/8 = 3(6x - 9) - 8
Combine 7x (14/2x) and 1/2x to get 15/2.
15/2x + 1/8 = 3(6x - 9) - 8
Use the distributive property to multiply 3 by 6x - 9.
15/2x + 1/8 = 18x - 27 - 8
Subtract 8 from -27 to get -35.
15/2x + 1/8 = 18x - 35
Subtract 18x from both sides.
-21/2x + 1/8 = -35
Subtract 1/8 from both sides.
-21/2x = -35 - 1/8
-35 is the same as -280/8.
-21/2x = (-280 - 1)/8
Subtract 1 from -280 to get -281.
-21/2x = -281/8
Multiply both sides by -2/21 (reciprocal of -21/2).
x = (-281 * -2)/(8 * 21)
You can cross cancel -2 and 8 by extracting 2 (they become -1 and 4 respectively).
x = (-281 * -1)/(4 * 21)
Multiply -281 by -1 to get 281.
x = 281/(4 * 21)
Multiply 4 by 21 to get 84.
x = 281/84
Can this fraction be simplified into a mixed number? Yes it can. It becomes 3 29/84. (252 (3 * 84) + 29 = 281)
x = 3 29/84
Work check: x is substituted for 281/84 (convenience)
7 * 281/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8
1967/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8
1967/84 + 1/2(302/84) = 3((6 * 281)/84 - 9) - 8
(1967 + 151)/84 = 3((6 * 281)/84 - 9) - 8
2118/84 = 3(1686/84 - 9) - 8
2118/84 = 3((1686 - 756)/84) - 8
2118/84 = 3(930/84) - 8
2118/84 = 2790/84 - 672/84
2118/84 = (2790 - 672)/84
2118/84 = 2118/84
So x = 3 29/84 is correct.
PLEASE HEP ASAP IM BAD AT MATH
Answer:
Approximately 40.37 feet
Step-by-step explanation:
Opposite = 30 feet and the length of the wire (I'll use x to represent it) is the hypotenuse.
sin(48) = 30/x
x = 30/sin(48)
x = 30/0.74
x ≈ 40.37
90 X 2 please help will give brainliest
Answer:
180
Step-by-step explanation: 90 + 90 = 180 pls mark me brainliest. hope this helps :)
here is my question
Answer:
A is correct
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
factorise 3x^2+5x-12
Answer:
3x^2+9x-4x-12(3x^2+9x)-(4x+12)3x(x+3)-4(x+3)(x+3)(3x-4) please mark me brainlistAnyone know this answer! This is due in 30 minutes
Answer:
The answer is 0.60 cents
Step-by-step explanation:
1.20 ÷ 2 = .60
.60 × 2 = 1.20
.60 × 4 = 2.40
.60 × 7 = 4.20
.60 × 12 = 7.20
Cuatro amigos van al cine dos veces al mes y siempre comen un paquete de palomitas de maiz cada uno si no comia palomitas de maiz los cuatro amigos podrian ir al cine tres veces al mes sabiendo que cada paquete de palomitas de maiz cuesta $28 cual es el precio de cada entrada al cine
Answer:
El precio de la entrada al cine es de $56
Step-by-step explanation:
Cada uno de los 4 amigos las 2 veces por semana consumen un paquete de palomitas que cuesta: $28 ; entonces debemos multiplicar el costo de las palomitas por las dos veces que las consumen para saber el costo total de las palomitas:
28 x 2 =$56
El ejercicio nos dice que al no comer esas dos veces palomitas pueden ingresar a cine una tercera vez por semana ,lo que significa que al no pagar los $56 en palomitas podrán pagar una tercera entrada,lo que quiere decir que la entrada a cine es de $56.
Entonces podemos hacer la siguiente relación matemática: Precio total de las palomitas dos veces por semana = Precio de la entrada a cine.
Jack invested $7,600 in an account paying an interest rate of 6 1/4% compounded
continuously. John invested $7,600 in an account paying an interest rate of 6
of 6 3/4%
compounded quarterly. After 19 years, how much more money would John have in
his account than Jack, to the nearest dollar?
Answer: $2192
Step-by-step explanation:
HELP HELP HURRY PLEASE !
Answer:
4
Step-by-step explanation:
5^2-3^2=16
sqrt16=4
Answer:
A. 4
Step-by-step explanation:
hypotenuse (h) = 5
base (b) = 3
perpendicular (p) = a = ?
We know
By using Pythagoras theorem
p = √( h² - b²)
a = √( 5² - 3²)
a = √(25 - 9)
a = √ 16
a = 4
Please help need it by today!!!
Answer:
an = 6n - 18
Step-by-step explanation:
a3 = 0, a4 = 6, a5 = 12, a6 = 18, a7 = 24
a3 = a + 2d
a4 = a + 3d
a + 2d = 0 (1)
a + 3d = 6 (2)
Subtract (1) from (2) to eliminate a
3d - 2d = 6 - 0
d = 6
Substitute d = 6 into (1)
a + 2d = 0 (1)
a + 2(6) = 0
a + 12 = 0
a = -12
nth term,an = a + (n - 1)d
= -12 + (n - 1) 6
= -12 + 6n - 6
= 6n - 18
an = 6n - 18
NEED HELP ASAP!!
Use Pythagorean Theorem to solve. Round to the nearest tenth
20 cm
21 cm
Your answer
Answer:
20²+21² = x²
841= x²
x= 29
nearest tenth = 30
Answer:
[tex] \boxed{x = 29}[/tex]
Step-by-step explanation:
[tex] {x}^{2} = {21}^{2} + {20}^{2} \\ {x}^{2} = 841 \\ x = \sqrt{841} \\ x = 29[/tex]
Resolver usando recíprocos y multiplicativo inverso: 2X-8 = 2 5
Respuesta:
x = 33/2
Explicación:
Primero, suma 8 y luego divide 2 pa tener x solo.
write down five numbers, so that the mean is 6, the median is 5 and the mode is 4.
Answer:
10, 4, 5, 7, 4
PLEASE HELP, WILL MARK BRAINLIEST
write an equation of the line that passes through (-2,0) and is perpendicular to the line y = - 1/3x + 3.
Answer:
(y-0)=-3(x-2)
Step-by-step explanation:
im not sure if this os correct but i tried
A restaurant critic reviewed restaurants in Oxford and Fairview. In Oxford, the critic gave 18 negative reviews and 33 positive reviews. In Fairview, 5 of the reviews were negative and 11 were positive. In which city did the restaurant critic give a lower ratio of negative reviews to positive reviews?
Answer:
Fairview is lower.
Step-by-step explanation:
IXL
The required, city Fairview has a lower ratio of negative to positive reviews.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
here,
A restaurant critic reviewed restaurants in Oxford and Fairview.
In Oxford, the critic gave 18 negative reviews and 33 positive reviews.
ratio = 18 / 33 = 0.54
In Fairview, 5 of the reviews were negative and 11 were positive reviews.
Ratio = 5 / 11 = 0.45
Thus, the required, the city of Fairview has a lower ratio of negative to positive reviews.
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i = $825, p = $2500, r = 5.5%
Step-by-step explanation:
interest (i) = (p × r × t)÷100$825 = ($2500 × 5.5 × t) ÷ 100$82500 = $2500 ×5.5 × tt = 82500÷(2500 ×5.5)t = 82500÷13750t = 6MARK ME BRAINLISTWhat type of triangle has the side measures of 56, 80, and 106?
Answer:
brain
Step-by-step explanation:
brain to the fullest
Do you think that every subtraction problem can be rewritten as an addition problem that gives the same result? Write a convincing argument, using examples. (Think about how they are related.)
Answer:
If you have the answer to the proble then yes
Step-by-step explanation:
for exampe 9+8=17 can be rewritten as 17-9=8
the total of p,t and d
Answer:
what does that mean
Step-by-step explanation:
3u+7u+9u = show your work
Answer:
19u
Step-by-step explanation:
3u+7u+9u
It is 19u because 7 + 3 + 9 = 19 and its kind of like the same instead the u is there.
Tell me if its right ^^
Have A GREAT Day! Hope This Helps!factor out the GCF from the terms of the polynomial 2x^3-10x^2+21
Answer:
The greatest common factor is one
Step-by-step explanation:
A taxicab charges $1.85 for the first quarter-mile and then $0.25 for every quarter mile after the first. The cost for a 17.5 mile trip is
Answer:
$19.10
Step-by-step explanation:
So since he charges $1.85 for the first quarter mile we can keep that as it is for now. If we add 0.25 4 times to make it $1 that would be a mile. We just have to add $17.25 plus the original $1.85 fee
Answer:
about $1
Step-by-step explanation:
0
1) x-1+5[tex]\sqrt{x-1\\}[/tex]+3=0
4) [tex]x^{4}[/tex] -64=0
Answer:
See explanation below
Step-by-step explanation:
Find the value of x in each of the following
1) x-1+5√x-1+3=0
5√x-1 = -x -2
Square both sides
25(x-1) = (-x-2)^2
25(x-1) = x^2+4x + 4
25x-25 = x^2+4x + 4
x^2 +4x + 4 - 25x + 25 = 0
x^2 - 21x + 29 = 0
x = 21±√21²-4(29)/2
x = 21±√441-116/2
x = 21±√325/2
x = 21±18.03/2
x = 21+18.03/2 and 21-18.03/2
x = 19.515 and 1.485
4) x^4-64=0
x^4 = 64
[tex]x = \sqrt[4]{64}[/tex]
x = 2.83
Similar polygons have corresponding sides that are proportional and corresponding angles that are -
A congruent
B parallel
C similar
D proportional
Don't ask my background but help me plz
Answer:
it's b
Step-by-step explanation:
1 and -1 are opposites
solve the following equation
4) Jose paid $4.98 in sales tax on an item that cost $62 before tax.
At that rate, how much would he pay in sales tax for an item that
costs $28.00 before tax?
Answer:
net is before tax
gross is after
Answer:
≈ $2.25
Step-by-step explanation:
This can be solved in two different ways.
1. Use ratios:
4.98/62 = x/28x = 4.98*28/62 x ≈ $2.252. Find the tax percent:
4.98/62*100% = 8.03%And apply this to $28
$28*8.03/100 ≈ $2.25