Answer:
Hourly wage at the library = x = $7.5
Hourly wage at the coffee cart = y = $7
Step-by-step explanation:
Let
Hourly wage at the library = x
Hourly wage at the coffee cart = y
On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50.
Hence:
3x + 2y = 36.5.... Equation 1
On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50.
2x + 5y = 50...... Equation 2
Combining both Equations
3x + 2y = 36.5.... Equation 1
2x + 5y = 50...... Equation 2
We solve using Elimination method, Multiply Equation 1 by 2 and Equation 2 by 3 which are coefficients of x to eliminate x
6x + 4y = 73 .. Equation 3
6x + 15y = 150...... Equation 4
Subtract Equation 3 from Equation 4
11y = 77
y = 77/11
y = 7
Solving for x using Equation 2
2x + 5y = 50...... Equation 2
2x + 5 × 7 = 50
2x + 35 = 50
2x = 50-35
2x = 15
x = 15/2
x = 7.5
Therefore,
Hourly wage at the library = x = $7.5
Hourly wage at the coffee cart = y = $7
Which of the following is a factor of x2 + 10x -24
Answer:
b) (x + 12)
Step-by-step explanation:
x² + 10x - 24
factors of 24 are: 1x24, 2x12, 3x8, 4x6
the pair I would select would be 2 and 12 as they could result in 10
(x + 12)(x - 2) = 0
pls help ill give brainlist (pic below)
Answer:
don't see a question but there 12 units
Step-by-step explanation:
CAN SOME ONE HELP ME
Answer:
(a⁴+b⁴)(a²+b²)
Step-by-step explanation:
in the pictures
In a academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, school A starts with 165 points and gives the same number of correct and incorrect answers. School b starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the 2 schools as a tie
Answer:
20
Step-by-step explanation:
In an academic contest correct answers earn 12 points and incorrect answers lose 5 points. In the final round school A starts with 165 points and gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?
Let x = number correct answers
because school a , gives the same correct and wrong answers, their equation can be represented as :
165 - 5x + 12x =
165 + 7x
School b gives no wrong answer. their equation can be represented as
65 + 12x
to fing the number of correct answers given, equate the two equations
165 + 7x = 65 + 12x
collect like terms
165 - 65 = 12x - 7x
100 = 5x
x = 20
Let AB = 24, AC = 10 and BC = 26.
a) What is the length of the leg opposite to ∠C?
b) What is the length of the leg adjacent to ∠C?
c) What is sin C?
d) What is cos C?
e) What is tan C?
Answer:
a) 24
b) 10
c) 12/13
d) 5/13
e) 12/5
Step-by-step explanation:
a) We can see that the leg opposite <C is AB, and we are given AB = 24
b) We can see the leg adjacent to <C is AC, and we are given that AC = 10
c) The trig function sine is equal to
[tex]\frac{opposite}{hypotenuse}[/tex]
The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:
[tex]sin(c) = \frac{24}{26} = \frac{12}{13}[/tex]
d)The trig function cosine is equal to
[tex]\frac{adjacent}{hypotenuse}[/tex]
The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:
[tex]cos(c) = \frac{10}{26} = \frac{5}{13}[/tex]
d)The trig function tangent is equal to
[tex]\frac{opposite}{adjacent}[/tex]
The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:
[tex]tan(c) = \frac{24}{10} = \frac{12}{5}[/tex]
need cos A and tan A asap please
Answer:
[tex]\sin A=\frac{12}{37},\\\\\cos A=\frac{35}{37},\\\\\tan A=\frac{12}{35}[/tex]
Step-by-step explanation:
In a right triangle only, the sine of an angle is equal to the angle's opposite side divided by the hypotenuse of the triangle. (o/h)
The cosine of the angle is equal to the angle's adjacent side divided by the hypotenuse of the triangle. (a/h)
The tangent of the angle is equal to angle's opposite side divided by the adjacent side. (o/a)
In this case, angle A's opposite side is 12, its adjacent side is 35, and the hypotenuse is 37 (o=12, a=35, h=37).
Thus we have:
[tex]\sin A=\frac{12}{37},\\\\\cos A=\frac{35}{37},\\\\\tan A=\frac{12}{35}[/tex]
Answer:
Step-by-step explanation:
sin A=opposite/hypotenuse=12/37
cos A=adjacent/hypotenuse=35/37
tan A=opposite/adjacent=12/35
Divide.
(2x2 + 13x + 9) = (x + 7)
I think the right question, should be like this,
= 2x² + 13x + 9/x + 7
So, the quotient is 2x - 1 and the remainder is 16, you can find answer there in attachment.
---------------------------------------
P.S- Sorry for messing writing.
These box plots show the number of electoral votes won by Democratic and
Republican presidential candidates for the elections from 1984 through 2012.
Republican
159
170.5 238 5
356
525
Democratic
13
181
299
3675
379
0
50
100
150
400
450
500
550
200 250 300 350
Electoral votes
Which statement best compares the spreads of the data sets?
Answer:
The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.
Step-by-step explanation:
The correct statement is; The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.
How to find the interquartile range?IQR(interquartile range) is the difference between third and first quartile.
[tex]IQR = Q_3 -Q_1[/tex]
The lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
The third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
From the given plots, we have:
Republican
[tex]IQR = Q_3 -Q_1[/tex]
IQR = 356 - 170.5
IQR = 185.5
Democratic
[tex]IQR = Q_3 -Q_1[/tex]
IQR = 367.5 - 181
IQR = 186.5
Hence, The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.
Learn more about quartiles here:
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I cant download the answers.
Answer:
add it then it will be easy than downloading
Answer:
{-3, -2, -1}
Step-by-step explanation:
Basic Ratio Right Triangle Trigonometry Find the missing side X and Y.
A right cylinder has a circumference of 14π cm. Its height is 3 times the radius. Identify the lateral area and the surface area of the cylinder.
L = 923.6 cm2 ; S = 1231.5 cm2
L = 967.6 cm2 ; S = 1231.5 cm2
L = 294 cm2 ; S = 392 cm2
L = 461.8 cm2 ; S = 967.6 cm2
Answer:
L=923.6 cm2 ; S =1231.5 cm2
Explanation:
L=2πR
L=14π
2πR=14π
R=14π/2π=7 - the radius
h=3R=3*7=21 -the height
S(l)=2πRh=Lh=14π*21=294π≈923,6 - the lateral area
S(s)=2πR²+Lh=2π*7²+294π=2π*49+294π=98π+294π=
=392π≈1231,5 -the surface area
which statement is true ? BRAINLIEST! BRAINLIEST! BRAINLIEST! BRAINLIEST! BRAINLIEST!
Answer:
[tex]\sqrt{11}[/tex] is between 3 & 4
Step-by-step explanation:
Choose the most appropriate answer.
"HEIGHT(50 inches)," "HEIGHT(50)," and "H(50)"all represent which of the
following?
O
A. The height of an object given a length of 50 inches.
B. The height of an object with area 50 inches.
C. The height of 50 inches.
Answer:
The answer its A:
Step-by-step explanation:
I hope its correct.
6) x is less than or equal to 7
The diagram shows a triangle.
What is the value of b?
The value of B is =31 .
the value of b is 31
Is 511Q bad on a test :((
Answer:
big brain
Step-by-step explanation:
Find the area
Please help!!!
Answer:
area of the semicircle=
diameter²=9²+21.6²
=81+466.56
diameter² =547.56
diameter=√547.56
=23.4
radius of the semicircle=diameter/2=23.4/2
=11.7
area of the semicircle=1/2πr²
=1/2×3.14×11.7²
=214.9173m²
area of the triangle=1/2×9×21.6
=97.2m²
area of the shaded region=214.9173m²-97.2m²
=117.7173m²
round it as possible
Please help with this question
Answer:
B option is correct Answer. Thanks
Which linear function has a y-intercept of -5?
2x+y=-10
x-y=-5
x-3y=15
-x+4y=20
Answer:
It could be =15 or =0
Step-by-step explanation:Multiplying each side of −3x+4y=20
by 2 gives −6x+8y=40
. Adding each side of −6x + 8y = 40 to the corresponding side of 6x+3y=15
gives 11y=55,ory=5
. Finally, substituting 5 for y in 6x+3y=15
gives 6x+3(5)=15,orx=0
.
Answer:
x-3y=15 has a y-intercept of -5
Step-by-step explanation:
A y-intercept occurs when x = 0. So, when x = 0, which function has a y-value of -5?
Plug in 0 for all the values of x and solve for y.
1. 2(0)+y=-10; y=-10
2. (0)-y=-5; y = 5
3. (0)-3y=15; y = -5
4. -(0)+4y=20; y= 5
How much money would you have if you invested $3000 at 6.25% annual interest, compounded daily for 2 years?
Answer:
[tex]A\simeq3399.41[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $3000
[tex]r = 6.25\% = \frac{6.25\%}{100\%}=0.0625[/tex]
t = 2
n = 365
Then,
[tex]A=3000(1+\frac{0.0625}{365} )^{(365)(2)}\\\\A=3000(1+\frac{0.0625}{365} )^{730}\\\\A=3399.408982\\\\A\simeq3399.41[/tex]
Help please!! :)))) Thanks!
Please answer ASAP
Answer:
the answer I think your looking for is C
Answer: it’s C
Step-by-step explanation:
The temperature dropped 2°C every hour for 8 hours. What was the total number of degrees the
temperature changed in the 8 hours?
lºc.
The total change in the temperature was
One number is 2 more than another number. If the product of the two numbers is 35, what are the numbers? Please show the work
Answer: 5 and 7.
Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.
First I made a list of numbers that when multiplied equal 35
Then I went through the list and took out all the options that were not one number being 2 more than the other.
The only option left is 5 x 7 (5*7)
what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?
The numbers are 5 and 7.
What is equation?A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
let the first number be 'x'
another number = x+2
According to question,
x(x+2)= 35
x²+2x-35=0
x²+7x-5x-35=0
x(x+7)-5(x+7)=0
(x-5)(x+7)=0
x= +5, -7
Hence, the numbers are 5 (x) and 7 (x+2).
Learn more about equation here:
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Note: picture not drawn to scale
The circle above has a radius of 10 cm. What is the area of the circle?
Use = 3.14.
А. 628 cm2
B. 62.8 cm2
C. 314 cm2
D. 31.4 cm?
ASAP
Answer: C. 314 cm2
Step-by-step explanation:
The equation for the area of a circle is: pi * radius squared. First, 10 squared is 100. 100 times 3.14 is 314.
Use the sum and difference rule to find the derivative of y=(3x^5)+(2x^4)-(2x)
Answer:
[tex]y^{'} = 15x^{4} +8x^{3} -2.[/tex]
Step-by-step explanation:
[tex]y=3x^{5} +2x^{4} -2x;\\y^{'} = ({3x^{5}^}) {'} +({2x^{4}}) {'} - ({2x}) {'}; \\y^{'} = 3*5x^{5-1} +2*4x^{4-1} -2*1x^{1-1} ;\\\\ y^{'} = 15x^{4} +8x^{3} -2.[/tex]
plssssss helpppppppppppppppppppp
Answer:
c
Step-by-step explanation:
John runs 9 miles in an hour. How much distance (in miles) will he cover in 4/3 hours?
Need help with this question
Answer:
QR = 82.38 to nearest hundredth.
Step-by-step explanation:
As they are similar corresponding sides are in the same ratio.
So MN / QR = LM / QR
13/51 = 21/ QR
`3QR = 51*21
QR = 51*21/13
QR = 82.38
Mario has been at bat 22 times this baseball season. Of the times at
bat, he hit the ball 18 times. Determine the decimal of this situation
and determine if the decimal is repeating or terminating.
Answer:
.81 Repeating Decimal
Step-by-step explanation:
I think
Answer:
0.81
Step-by-step explanation:
18 divide by 22 is 0.81