Solution:
Let t = working together in terms of days
(1/4) + (1/12) = 1/t
Solve for t.
Multiply both sides by the LCD.
LCD = 12t
3t + t = 12
4t = 12
t = 12/4
t = 3
Together, they can do the job in 3 days.
Which expression can be used to find the value of x?
a) 23(sin55°)(sin85°)
b) 23(sin85°)sin55°
c) 23(sin55°)sin85°
d) (sin55°)(sin85°)23
Answer:
Step-by-step explanation:
It looks like you are using the sine law.
23/Sin(85) = x / sin(55) Cross multiply
23*sin(55) = x * sin(85)
23*sin(55)/sin(85) = x
None of these answers look correct. One thing you could try is
sin(85) = cos(90 - 85)
sin(85) = cos(5)
That would give you
x = sin(55)*cos(5)
If that is not among your choices you have no answer.
Can some one answer this ASAP 15points sorry about the scribbles please give answers
Answer: THEIR HIDEOUT MUST BE CLOSE TO THE SCHOOL
Step-by-step explanation: U= 1 L=0 R= -2 I=24 M=17 H= -3 E=100 S= -439 O=11 B= -6 T= -41 D= 19 C=206
Tickets to a local circus cost $5 for students and $8 for adults. A group of 9 people spent a total of $60. How many adults were in the group?
Final answer:
By setting up a system of equations based on the provided information and solving them, we can determine that there were 5 adults in the group that attended the circus.
Explanation:
To determine how many adults were in the group at the circus, let's use variables to represent the number of students and adults in the group. Let x be the number of students and y be the number of adults. We know there are a total of 9 people, so we have the equation:
x + y = 9
The total cost for all tickets is $60, and considering the cost for students is $5 and for adults is $8, we have the equation:
5x + 8y = 60
We now have a system of equations that can be solved using the substitution or elimination method. If we solve for x in the first equation (x = 9 - y) and substitute into the second equation:
5(9 - y) + 8y = 60
45 - 5y + 8y = 60
3y = 15
y = 15 / 3
y = 5
There are 5 adults in the group. Now, we can find the number of students by substituting y back into the first equation:
x + 5 = 9
x = 9 - 5
x = 4
So, there are 4 students in the group.
A smart phone manufacturer uses 10 ounces of gold circuitry to make 5,200 smart phones. If they made 7,800 smart phones last month and gold is valued at $1,300 per ounce, what is the value of gold used last month? A) $19,500 B) $20,500 C) $21,500 D) $22,500
Answer:
Its 19,500
Step-by-step explanation:
Answer:
Option A. $19,500
Step-by-step explanation:
A smart phone manufacturer uses 10 ounces of gold circuitry to make 5,200 smartphones.
We will solve this problem by unitary method.
In 5200 smartphones use of gold = 10 ounces
in 1 smartphone use of gold = [tex]\frac{10}{5200}[/tex] = 0.001923 ounces
In 7,800 smartphones, use of gold = 0.001923 × 7800 = 14.999 ounces rounded to 15 ounces of gold
Last month the value of 1 ounce gold is $1,300
The value of 15 ounces = 1,300 × 15 = $19,500
The value of gold used last month is $19,500.
*will give brainlist**okay so u want to know how much diapers u will use for 3 years basically and then the details to help u each box cost 30$ and u need 1,500 of diapers a year how much will u spend in 3 years in total???
ok so divide 1500 by 250 to determine how many boxes you need to by in 1 year
so that equals 6 then you multiply that by $30 to find the total cost of all the diapers per year so the is $180 per year and then multiply that by 3 to find the cost of all 3 years
So the answer is you will spend $540 in total
Answer: you will spend $540 on diapers total.
Compare the two leagues and predict which league would be more likely to win a game.
Interpreting Data( written response)
Answer:
The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.
Comparing the data of wins and home runs for the 2 leagues given in the table, we can predict that;
The second league will be more likely to win a game than the first league.
This is about data comparisons and interpretation.
Now, from the 2 tables, we see 2 columns namely HR and W;
HR; This means Home Runs. This is gotten by hitting the ball in a baseball game over the outfield fence that stands in-between the foul poles and does not touch the ground first before going over the outfield fence. This means more home runs denotes more points.
W; This is the number of wins each team possesses. The more the games won, the more the points and the more chances of winning the league.
Now, from the above analysis, we have seen that More HR( Home runs) and more W(Wins) means more points and better chances of winning the league.
Comparing the two leagues, it is clear that second league has teams with more Home runs and more Wins than the first League.
In conclusion, we can say that The second league will be more likely to win a game than the first league.
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Tanya and three friends have saved $75 to help protect the pandas. If they each gave the same amount, how much did each person contribute?
Answer:
Step-by-step explanation:
If it is Tanya and 3 friends, there are 4 people in total. If they all contributed the saem amount, you would do 75/4= 18.75 dollars each
How many solutions does 3/4(24-16x)=-2/3(18x-27) have?
Answer:
Step-by-step explanation:
Answer: An infinite number
Multiply both sides of the equation by 12
12 [ 3/4 (24 - 16x) = - 2/3 (18x - 27) ]
3*3(24 - 16x) = - 2 * 4 (18x - 27)
9 ( 24 - 16x) = - 8(18x - 27)
Remove the brackets.
216 - 144x = - 144x + 216
Any value for x will preserve the equality. Nice problem.
Final answer:
The equation 3/4(24-16x)=-2/3(18x-27) simplifies to an identity, implying that there are infinitely many solutions for x. Values like x=3 or x=-7 will satisfy the equation, which is a characteristic of an identity.
Explanation:
The equation in question is 3/4(24-16x)=-2/3(18x-27). To find the number of solutions, we begin by simplifying both sides and then solving for x. Let's do this step by step:
Multiply each term inside the parentheses by the fractions in front of them: 18 - 12x = -12x + 18.Notice that both sides of the equation are the same, which means every value of x is a solution. This type of equation is known as an identity.Since this is an identity, there are infinitely many solutions for x.As a check, we can attempt to substitute possible values for x such as x=3 or x=-7 into the equation, and we'll find that they satisfy the equation, confirming our result.
5(3x+8) simplify this equation please that would help a lot thanks.
[tex]5(3x + 8) \\ 15x + 40[/tex]
Hope that helped
Answer:
15x+40
Step-by-step explanation:
Use the Distributive Property
need help plz .You have $2500 to invest in two different accounts. In order to save the money you need for college, you need to average 7% interest. If the two accounts pay 7.5% and 6% interest, how much should you invest in each account? Round to the nearest dollar amount.
A)$1667 in 7.5%, $833 in 6%
B)$1833 in 7.5%, $667 in 6%
C)$667 in 7.5%, $1833 in 6%
D)$833 in 7.5%, $1667 in 6%
Answer:
A)$1667 in 7.5%, $833 in 6%
Step-by-step explanation:
You need to average 7% interest.
initial investment = $2500
7% of $2500 = [tex]\frac{7}{100}[/tex] × 2500 ⇒ (0.07 ) × (2500) ⇒ $175
so the combined interest from both accounts should be $175
Checking options:
A)$1667 in 7.5%, $833 in 6% ∵ 7.5 % = 0.075
(1667 × 0.075) + (833 × 0.06) 6 % = 0.06
125.025 + 49.98 ⇒ 175.005
B) $1833 in 7.5%, $667 in 6%
(1833 × 0.075) + (667 × 0.06)
137.475 + 40.02 ⇒ 177.495
C)$667 in 7.5%, $1833 in 6%
(667 × 0.075) + (1833 × 0.06)
50.025 + 109.98 ⇒ 160.005
D)$833 in 7.5%, $1667 in 6%
(833 × 0.075) + (1667 × 0.06)
62.475 + 100.02 ⇒ 162.495
Option A is the closest to average7% interest of $2500, which is $175.
Which rule describes the translation?
C would be my guess, I just take the first letter w/o the apostrophe, and move it by each rule and see if it matches up with the letter with the apostrophe.
Answer:
C, (x,y) → (x + 8, y - 3)
Step-by-step explanation:
we can locate one point on the shape and use that as a reference point to see where it goes.
ABCD is the original shape, while A'B'C'D' is the translated shape
we start at ABCD, for this shape i picked the point B to follow
we count how many units the point B goes in order to get to B'. we start on the x axis, and see that it goes 8 units to the right. this is an increase, as its rising in value
from there, we follow the y axis, moving 3 units down. this is a decrease, as we are going 3 units down
so according to what we have moved in order to get from B to B', we moved 8 to the right so we have x + 8, with x being the x-coordinate the point was previously on. we have moved 3 units down to get from B to B', which is y - 3, with y being the y-coordinate the point was on previously
the answer to this is C, (x,y) → (x + 8, y - 3)
Matthew pays his employees $15 per hour for a 40 hour week and pays overtime at a rate of time and a half for hours over 40 hours in the same week. If Sophia works 45 hours this week, calculate what her gross wages will be.
A
$ 675.00
B
$ 712.50
C
$ 900.00
D
$ 1,012.50
B. 712.50
40hrs x $15/hr= $600
5hrs OT x time & a half pay ($22.50)= $112.50
$600 + $112.50= $712.50
If 4 ounces of cheese cost $1.85, then how much will a pound cost?
Answer:
$7.40
Step-by-step explanation:
https://sciencing.com/calculate-cost-per-pound-7595889.html
use this
Evaluate the expression. 0.3+0.2×0.5
Answer:
The answer is 0.4
Step-by-step explanation:
Since we do multiplication first, we do 0.2*0.5. That equals 0.1.
Next, we do addition. 0.3+0.1 is 0.4.
Answer:
.4
Step-by-step explanation:
First, multiply .2 by .5 which is .1
add this to .3 and you get .4
Your answer is .4
Using the Vertical Method to multiply these two polynomials, fill in the values for A, B, and C
A) A=8x^2,b=6x^3,c=-23x
B)A=8x^2,b=6x^3,c=7x
C)A=-8x^2,b=6x^3,c=-23x
D)A=8x^2,b=6x^3,c=23x
Answer:
C)A=-8x^2,b=6x^3,c=-23x
Step-by-step explanation:
As per vertical Method to multiply
for A
1st partial product = -4(5x^3-2x^2+2x+5), so 2nd term i.e. A is
-4 (-2x^2)= 8x^2
for B
2nd partial product= -3x(5x^3-2x^2+2x+5), so 2nd term i.e. B is
-3x(-2x^2)=6x^3
for C
Final product= sum of two partial products, C is
-8x-15x=-23x
!
What is a radical equation
Answer:
is an equation in which a variable is under a radical
Answer:
An equation where the radical is under the equation...
Step-by-step explanation:
Right?
PLEASE HELP ME!!!! I WILL MARK BRAINLIEST!!!!!
THE QUESTIONIS IN THE PICTURE
Answer:
59 2/4
Step-by-step explanation:
Answer: 14.33 in³
Step-by-step explanation:
the volume of the box= L * W * H
V = 2 * 16/3 * 43/4 = 114.67 in³
114.67 takes up 8 servings
hence each serving will take up a volume of 114.67 in³/8 = 14.33 in³
what is the inverse of y=pi/2+sin x
Answer:
[tex]f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})[/tex]
Step-by-step explanation:
The given function is
[tex]y=\frac{\pi}{2}+\sin x[/tex]
To find the inverse of this function, we interchange x and y.
[tex]x=\frac{\pi}{2}+\sin y[/tex]
we now solve for y.
[tex]x-\frac{\pi}{2}=\sin y[/tex]
Take the sine inverse of both sides to obtain;
[tex]\sin ^{-1}(x-\frac{\pi}{2})=y[/tex]
Hence the inverse of the given function is;
[tex]f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})[/tex]
where [tex]\frac{\pi}{2}-1\le x\le \frac{\pi}{2}+1[/tex]
Answer:
what that guy said
Step-by-step explanation:
Given a slope of 1/2 and a y-intercept of -4. What is the equation of the line in slope intercept form?
Answer:y=\frac{1}{2} x-4
Step-by-step explanation:
Slope intercept form of the equation of a line is y = mx+b where m is the slope and b is the y intercept. Plugging in 1/2 for m and -4 for b gives y = 1/2x + (-4) then simplifying adding a negative means subtracting.
The equation of the line is y = (1/2)x - 4, where the slope is 1/2 and the y-intercept is -4.
Explanation:
The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.
In this case, the slope is 1/2 and the y-intercept is -4, so the equation of the line is y = (1/2)x - 4.
The slope of 1/2 means that for every increase of 1 on the horizontal axis, there is a corresponding increase of 1/2 on the vertical axis.
Learn more about Slope-intercept here:
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The equation for the best fit line is y=5.2x+18. It says if the observed value when x=10 was y=62, then which of the following represents the value of the residual for this point. The options are 52, 8,-8,&-10. i need help please!!
The residual value is -8
What is a residual value?A residual value is the difference between the observed y-value and the predicted y-value( from the regression equation ) .
Here, the given regression equation of the line,
y = 5.2 x +18
Thus, for x = 10, the predicted value of
y = (5.2 × 10) +18
y = 52 + 18
y = 70
Now, by the given question,
For x = 10, the observed value of y = 62,
Hence, the residual for 10 = Observed value of y for 10 - Predicted value of y for 10
= 62 - 70
= -8
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What are the x-intercepts of the graph of the equation above?
Answer: Option C
Step-by-step explanation:
The graph is of the quadratic equation is a parabola.
The parabola intercepts the x-axis when [tex]y=0[/tex].
Then, you need to substitute [tex]y=0[/tex] into the equation:
[tex]y=x^2+2x-8\\0=x^2+2x-8[/tex]
Factor the quadratic equation: find two number that when you add them you get 2 that when you multiply them you get -8. In this case these numbers are -2 and 4. Then:
[tex]0=(x-2)(x+4)\\\\x_1=2\\x_2=-4[/tex]
Therefore, the x-intercepts are:
(-4,0) and (2,0)
will give brainliest!!!! worth lots of ponts plzz anser i need this !!!!!
Answer:
A; the rate of change is the same
Explanation:
The graph and the table appear to be the same
Answer:The rates change are equal. The graph has a greater rate change. The table has a greater rate change. So none of the above
what is the distance between the points (3,12) and (14,2)?
Answer:
sqrt(221)
Step-by-step explanation:
The distance between two points is found by
d =sqrt( (y2-y1)^2 + (x2-x1)^2)
= sqrt( (2-12)^2 + (14-3)^2)
= sqrt((-10)^2 + (11)^2)
= sqrt( 100+121)
= sqrt(221)
easy pllsssssss help
Answer:
87.5(the first one)
Step-by-step explanation:
first simplify 4 to the 5th power(20) and multiply by 4 to the -7th(-35) and you will get -700 divide that by 4 to the -2nd(-8) and you will get 87.5
Ok so I got 87.5 for the first one but I don't know about the other ones
PLEASE HELP WILL GIVE 10 POINTS. HURRYY
B. -4-1. -4-1=-5, which is the amount of you count the spaces in between.
Hope this helps!
which scale drawing of the parallelogram has a scale factor of 1/3 if the original parallelogram has lengths 6 cm and 15 cm
Answer:
2 and 5
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Plzz help me ASAP plz plz!!
Which expression is equivalent??
Answer:
THe 3rd one
Step-by-step explanation:
Number 3 should be the answer
Jorge is building a table out of boards that are 3.75 inches wide he wants the table to be at least 36 inches wide what is the least number of boards he can use
Answer:
10
Step-by-step explanation:
If a board is 3.75 inches wide and he wants the table to be at least 36 inches wide, then we need to use the rule of three:
If a 1 board ---------------------------> 3.75 inches wide
x ---------------------------> 36 inches wide
x = (36 inches wide * 1 board)/3.75
x= 9.6 boards.
Like we cannot buy 9.6 boards, then we conclude that the least number of boards he can use is 10.
Please helppp Omg pleaseee
Answer:
3/4 3/6 5/12
Step-by-step explanation:
the bottom goes from least to greatest
plzzz help me with this question!!! look at picture
Answer:
Option C
Step-by-step explanation:
Option C. Is the correct option.
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. For that reason, if we multiply the number (2^1/4)(2^1/4)(2^1/4)(2^1/4) the result will be 2^(1/4+1/4+1/4+1/4) = 2^(4/4) = 2.