Answer: 4.5x-100 > 125
Step-by-step explanation: Each candle costs $4.50, which can be simplified to 4.5. To determine how much they will make from the candles, you want to multiply the cost of the candles (4.5) by how many candles are sold (x), and this is where the 4.5x comes from. We subtract 100, because that is how much they spent on the candles they are selling (profit means how much you make after expenses). Since they're trying to make MORE THAN $125 in profit, we use the > sign.
Answer:
So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so: So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so:
4.5x > 225 is the inequality for that. It just means $4.50 times the number of candles has to be more than the $225 we need. To simplify it, just divide both sided by 4.5:
x > 50
They have to sell more than 50 candles.
The health food store that you manage employs 7 clerks. Individual hourly wages are $8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50. If each employee has 2 weeks unpaid vacation and works 8 hours a day , 5 days per week and is paid for all holidays , what the total annual payroll for the clerks ?
Answer:
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
Step-by-step explanation:
[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]
Annually= Yearly, A year has 365 days.
They work 40 hours a week, 8*5=40.
There are aprox, 10 holidays in a year. (You can change this in your work)
They have 2 weeks unpaid vacation, 14 days.
There are aprox, 52 weeks in a year. (You can change this in your work)
52 weeks - 2 weeks of unpaid vacation= 50 weeks.
Now Let's calculate the weekly income, for
$8.10*40=$324 per week.
$8.25*40=$330 per week.
$8.45*40=$338 per week.
$8.75*40=$350 per week.
$9.00*40=$360 per week.
$9.25*40=$370 per week.
$10.50*40=$420 per week.
Now Let's calculate the annually income, for each clerk.
324*50=16,200 + 648=16,848
330*50=16,500 + 660=17,160
338*50=16,900 + 676=17,576
350*50=17,500 + 700=18,200
360*50=18,000 + 720=18,720
370*50=18,500 + 740=19,240
420*50=21,000 + 840=21,840
Now the total annual payroll=
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
Choose a number line to model the following situation:
The temperature outside rose 15° and then dropped 15°. (4 points)
a
A vertical number line is shown with labels at 0 and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.
b
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.
c
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at 0.
d
A vertical number line is shown with labels at 0, negative 15, and negative 30. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at negative 30.
Answer: A
Step-by-step explanation: It is showing that the temp Atari is raising by 15 ( +15) then dropping by 15 (-15)
Hope this Helps :))
Tonya wants to estimate what proportion of the students in her dormitory like the dorm food. She interviews an SRS of 50 of the
175 students living in the dormitory. She finds that 14 think the dorm food is good.
What is the numerical value of the sample proportion p from Tonya's sample? Round to two decimal places if necessary.
p = ?
Answer: [tex]\hat{p}=0.28[/tex]
Step-by-step explanation:
Given : Tonya interviews an SRS of 50 of the 175 students living in the dormitory.
i.e. Sample size : n= 50
Number of students think the dorm food is good: x = 14
Now , the numerical value of the sample proportion p from Tonya's sample:
[tex]\hat{p}=\dfrac{x}{n}[/tex]
[tex]=\dfrac{14}{50}=0.28[/tex]
Hence, the numerical value of the sample proportion p from Tonya's sample is 0.28.
Which of the following represents continuous data? A. Amount of coins in your pocket B. Time it takes to count the coins in your pocket C. Number of collector coins you own D. Value of the coins in your pocket
Answer:
Time it takes to count the coins in your pocket
Step-by-step explanation:
A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?
Answer:
[tex]f(t)=20000(0.85)^t[/tex]
Step-by-step explanation:
So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:
[tex]f(t)=P(r)^t[/tex]
Where P is the initial value, r is the rate of decay, and t is the time in years.
Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.
Therefore, the equation that models the value of the computer is:
[tex]f(t)=20000(0.85)^t[/tex]
What is 3 divided by 2,127
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Hi my lil bunny!
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[tex]3\ \div \ 2127[/tex]
[tex]= \frac{1}{709}[/tex] (Decimal: 0.00141)
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If this helped you, could you maybe give brainliest..?
❀*May*❀
Find the distance between (-5,-6) and (-3,-8 WILL GIVEBRANLIEST TO FIRST PERSON WHO AWNSES WITH EXPLANATION
Answer:
d = √8
d ≈ 2.82843
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in our coordinates into the distance formula:
[tex]d = \sqrt{(-3 + 5)^2+(-8 + 6)^2}[/tex]
[tex]d = \sqrt{(2)^2+(-2)^2}[/tex]
[tex]d = \sqrt{4+4}[/tex]
[tex]d = \sqrt{8}[/tex]
To find the decimal, simply evaluate the square root:
√8 = 2.82843
Answer:
[tex] \boxed{2 \sqrt{2} \: \: units}[/tex]Step-by-step explanation:
Let the points be A and B
A ( - 5 , - 6 ) ⇒ ( x₁ , y₁ )
B ( -3 , - 8 )⇒( x₂ , y₂ )
Now, let's find the distance between these two points:
AB = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]
Plug the values
⇒[tex] \mathsf{ \sqrt{( - 3 - ( - 5) )^{2} + {( - 8 - ( - 6))}^{2} } }[/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
⇒[tex] \mathsf{ \sqrt{ {( - 3 + 5)}^{2} + {( - 8 + 6)}^{2} } }[/tex]
Calculate
⇒[tex] \mathsf{ \sqrt{ {(2)}^{2} + {( - 2)}^{2} } }[/tex]
Evaluate the power
⇒[tex] \mathsf{ \sqrt{4 + 4} }[/tex]
Add the numbers
⇒[tex] \mathsf{\sqrt{8} }[/tex]
Simplify the radical expression
⇒[tex] \mathsf{ \sqrt{2 \times 2 \times 2}} [/tex]
⇒[tex] \mathsf{2 \sqrt{2} }[/tex] units
Hope I helped!
Best regards!
Kaitlyn can build a shed in 6 days. Mark can build the same shed in 8 days. Which equation can be used to find d, the number of days it would take Kaitlyn and Mark to build the shed together? Rate (Sheds per Day) Time (Days) Fraction Completed Kaitlyn One-sixth d One-sixth dd Mark One-eighth d One-eighth dd One-sixth d minus one-eighth d = 48 One-sixth d + one-eighth d = 48 One-sixth d minus one-eighth d = 1 One-sixth d + one-eighth d = 1
Answer:
One-sixth d + one-eighth d = 1
Step-by-step explanation:
When they work together, their rates of completion add. They want to build one shed, so the number of sheds being built is ...
(Kaitlyn's sheds per day)×(days Kaitlyn works) +(Mark's sheds per day)×(days Mark works) = 1 shed
(1/6)d + (1/8)d = 1 . . . . matches the last choice
Kate wants to paddle
her canoe across the lake. To determine how far she must paddle, she paced out a triangle,counting the number of strides, as shown.
If Kate's strides average 3.5 ft, what is the
length of the longest side of the triangle?
What distance must Kate paddle across
the lake?
Answer:
1. Length of longest side of the triangle = 1,050 ft
2. Length = 437.5 ft
Step-by-step explanation:
Given:
Kate's strides average = 3.5 ft
Find:
1.longest side of the triangle
2.Distance must Kate paddle across the lake
Computation:
1.longest side of the triangle
longest side of the triangle = AE
So,
longest side of the triangle = 150 + 150
longest side of the triangle = 300
Length of longest side of the triangle = 300 × 3.5 ft
1. Length of longest side of the triangle = 1,050 ft
2.Distance must Kate paddle across the lake.
We know that,
ΔABD ~ ΔACE
So,
AB / AC = BD / CE
80 / 160 = BD / 250
BD = 125 Strides
Length = 125 × 3.5 ft
2. Length = 437.5 ft
Clare has 150$ in her bank account. She buys a bike for 200$. What is Clares account balance now?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The amount left in the bank account is -$50.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount in the bank account = $150
Cost of the bike = $200
The amount left in the bank account.
= 150 - 200
= -$50
Thus,
The amount left in the bank account is -$50.
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Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent?
a contractor is in charge of hiring people for construction project the number of days it would take to complete a project with ex full time workers can be found using the function f (x) equals 1 26/x.assume once workers are assigned to the project no workers may be added or taken out the project until it is finished find and interpret the given function values and determine an appropriate domain for the function
This is about understanding domain of a function.
The domain of the function is x is a set of positive integers.
We are given the function;f(x) = 126/x
Where;
f(x) is the number of days it would take to complete a project with x number of workers
x is number of workers it will take to complete the project.
We want to find the domain for the given function.Domain is defined as the set of all possible input values for which the function is defined.
Let's try x = 0 workers.
f(x) = 126/0 ; this is undefined and so x cannot be zero.
Let's try x = 1 worker
f(x) = 126/1 = 126 days
Let's try x = 10 workers
f(x) = 126/10 = 12.6 days
Let's try x = 100 workers
f(x) = 126/100 = 1.26 days
We see that every positive integer is a possible value of x that can make the function defined. Since 0 and negative numbers will make the function invalid.
Thus, the domain of the function is x is a set of all positive integers.
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help me plz i wnt help plz i want help
Answer:
C)28in
Step-by-step explanation:
To get the area of this face, we will divide it into 3 sections.
Area of the 1st section:
Given:
l=4in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in^2
Area of the 2nd section:
Given:
l=2in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=2in*2in
a=4in^2
Area of the 3rd section:
l=8in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in*2in
a=16in^2
a1+a2+a3=Area of the face
8in^2+4in^2+16in^2=28in^2
Hope this helps ;) ❤❤❤
what is 3 2/7 x 2 4/5 (Answer with a mixed number in simplest form) Thankyou!!
Answer:
9 1/5
Step-by-step explanation:
3 2/7 * 2 4/5
Change to improper fractions
( 7*3+2)/7 * ( 5*2+4)/5
23/7 * 14/5
Rewriting
14/7 * 23/5
2 * 23/5
46/5
Changing back to a mixed number
5 goes into 45 9 times with 1 left over
9 1/5
The product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form as per the concept of simplifying fractions.
To multiply the mixed numbers 3 2/7 and 2 4/5, we need to convert them to improper fractions and then perform the multiplication.
First, convert 3 2/7 to an improper fraction:
3 2/7
= (3 x 7 + 2) / 7
= 23/7
Next, convert 2 4/5 to an improper fraction:
2 4/5
= (2 x 5 + 4) / 5
= 14/5
Now, multiply the two improper fractions:
(23/7) x (14/5) = (23 x 14) / (7 x 5)
= 322/35
To simplify the resulting fraction, we find the greatest common divisor (GCD) of the numerator (322) and the denominator (35), which is 7. Divide both the numerator and the denominator by the GCD:
322/35
= (322/7) / (35/7)
= 46/5
Now, express the improper fraction as a mixed number:
46/5 = 9 1/5
Therefore, the product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form.
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If 0≤β<2π, find all values of β that satisfy the equation cos(2β)=√3/2
Answer:
π/12 rad and 23π/12 radStep-by-step explanation:
Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.
[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]
Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]
Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°
Converting to radians;
180° = πrad
15° = 15π/180 rad
15° = π/12 rad
345° = 345π/180
345° = 23π/12 rad
The values in radians are π/12 rad and 23π/12 rad
I need help plz step by step
Answer:
[tex]\frac{2\sqrt[3]{22} }{7}[/tex]
Step-by-step explanation:
We are asked to find the cube root of [tex]\sqrt[3]{\frac{176}{343} }[/tex]
To solve, let's start with the radical rule of having a fraction within a cuberoot, which is cubing both the numerator and denominator :
[tex]\frac{\sqrt[3]{176} }{\sqrt[3]{343} }[/tex]
Simplify both equations for the answer:
[tex]\sqrt[3]{176} = 2\sqrt[3]{22}[/tex]
[tex]\sqrt[3]{343} = 7[/tex]
[tex]\frac{2\sqrt[3]{22} }{7}[/tex]
Answer:
2∛22/7
Step-by-step explanation:
To solve, let's start with the radical rule of having a fraction within a cuberoot, which is cubing both the numerator and denominator
Hope this helps <3
Santiago is eight years younger than Juan is today. If, in four years, Santiago will be half Juan’s age, how old is Santiago today? a) 1 b) 2 c) 3 d) 4
Answer:
d) 4.
Step-by-step explanation:
Let Santiago be x years old today.
Then Juan is x + 8 years old.
In 4 years Santiago will be x + 4 years.
In 4 years Juan will be x + 12 years.
From the given information:
x + 4 = 0.5(x + 12)
x = 0.5x + 6 - 4
0.5x = 2
x = 2 / 0.5
x = 4.
how many ways can you order a sandwich if you can order it with or without ham, mustard, mayo, or cheese?
Determine whether each sequence is an arithmetic sequence. If yes, then state the common difference.
4, 7, 9, 11, 12,...
Answer:
Not arithmetic
Step-by-step explanation:
Arithmetic sequences go up by the same number or down by the same number.
From 4 to 7 thats up by 3
From 7 to 9 that's up by 2
Conclusion: not arithmetic
Answer:
The sequence is not an arithmetic sequence.
Step-by-step explanation:
4 is getting added by 3 to get 7
7 is getting added by 2 to get 9
9 is getting added by 2 to get 11
11 is getting added by 1 to get 12
As you can see, the sequence is not consistent. Therefore, it is not an arithmetic sequence.
PLEASE HELP ME WITH MY HOMEWORK!! ASAP! WILL PICK BRAINLIEST! DUE IN 15 MINUTES!!!
Answer:
watch 11:39 . clock is 11:24 . 210m . 1mm . 12 degrees . 3/4hrs .
Step-by-step explanation:
Step-by-step explanation:
10. It says the watch is 9 minutes fast and the time announced is 11:30 that will be 9 minutes added to the 11:30 which will give 11:39
Now, for the clock , it says the clock is 6 minutes slow, that will be 11:30 - 6 minutes the six minutes will be minused from the 30 minutes which will give 11:24
11. since it is 10 m above the ground and the full length is 220 m which part of is under the ground since we are given the length above the ground in order to find the length of the ground we say 220-10 which will give 210
so the distance of the bottom of the drill from there ground level is 210
12. x + 5
x - 3
to give their difference that will be 5+3 which will be 8
cross check
using 5 to represent x
5+5 =10
5-3 =2
the difference between them is 8 you can use another number to represent x but the difference will still be 8
13. To find the temperature if the frozen meat that will be 34 + 22 degree that gives 56
14. it says she was at the airport 1hr 30 minutes before the appointed time so if the plane was to take off by 9:00 that means she reached there 7:30 then it was 9:00 the plane was late again for 3/4 of hour late so 60 minutes makes up an hour that gives 60×3/4 that gives 45 meaning the plane was late for another 45 minutes how long does she wait that gives 1hr 30 minutes plus 45 minutes convert all to minutes =60 minutes + 30 minutes + 45 minutes which is 135 minutes convert to hour 2 minutes gives 120 seconds so 135-120 =15
so she waited at the airport for 2 hrs 15 minutes
15. since out of the 6400 Dani he paid his debt of 600 and gave it sola who has only 1900
that will be 6400-600 and 1900+600
so sola has 2500 while Dani has 5800
16. she can only pay back 40
B. (not sure)
17. meaning the sister owes 800 naira
b. by 1700+800 =2500
18. that gives 950000-97000 =853000
Help me Guess just help please
Answer:
26
is it direct or step by step?
4. Multiple-Choice
1. Two complementary angles measure (12r - 18)° and (5x + 23)°. What
is the measure of the smaller angle?
(1) 5°
(2) 42°
(3) 48°
(4) 90°
I already know that the answer is 42 but I don’t know how to get that! Please help.
Sry i couldn't find the answer
Answer:
(2) 42°
Step-by-step explanation:
Copy of the given problem:
4. Multiple-Choice
1. Two complementary angles measure (12r - 18)° and (5x + 23)°. What
is the measure of the smaller angle?
(1) 5°
(2) 42°
(3) 48°
(4) 90°
Solution:
The sum of the measures of complementary angles is 90 deg.
12r - 18 + 5x + 23 = 90
We have 1 equation with two different variables, so we cannot solve the equation to find unique values of the variables.
I assume the above is an error, and both variables should be the same.
12r - 18 + 5r + 23 = 90
Combine like terms on the left side. Terms with r are combined. Terms with no variable are combined.
12r + 5r - 18 + 23 = 90
17r + 5 = 90
Subtract 5 from both sides.
17r = 85
Divide both sides by 5.
r = 5
The measures of the angles are:
12r - 18 = 12(5) - 18 = 60 - 18 = 42
5r + 23 = 5(5) + 23 = 25 + 23 = 48
The measures of the two angles are 42° and 48°.
The smaller angle measures 42°
Answer: (2) 42°
Liam tried to define a translation. - Point A maps to point A' - Every point P maps to point P' such that PP' is parallel to AA' and points in the same direction as AA' Which counterexample shows that Liam's definition does not fully define a translation?
Answer:
B
Step-by-step explanation:
This is the correct answer.
From The diagrams shown here, the option that does not fully define a translation is B.
What is a translation in mathematics?
In mathematics, this is another word for a transformation. What the translation does is that it helps to move a shape in different ways without altering the appearance of the shape.
The translation in this question is option B given the definition that we have above.
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The area of a regular hexagon is 40 in^2. What is the length of a side to the nearest tenth? A. 15.4 in. B. 9.6 in. C. 6.7 in. D. 3.9 in.
Answer:
The answer is D
Step-by-step explanation:
You weigh six packages and find the weights to be 34, 24, 74, 29, 69, and 64 ounces. If you include a package that weighs 154 ounces, which will increase more, the median or the mean? A. The median and the mean will stay the same. B. The median and mean are affected the same amount. C. The mean increases more. D. The median increases more.
Answer:
C. the mean increases more
Step-by-step explanation:
the mean is more affected by outliers because it is an average of all the numbers.
Answer:
C. the mean increases more
Step-by-step explanation:
If the Federal Resene sets the reserve rate to 20%, what is the resulting money multiplier?
Answer:
5
Step-by-step explanation:
Money multiplier helps to explain how an economic activity boosts the economic output for the country. It shows how saving in terms of deposit increases the net supply of money in any economy.
Money multiplier = 1/reserve ratio
given reserve ratio = 20% = 20/100 = 0.2
thus,
Money multiplier = 1/0.2 = 5
Me need big brain to answer this question c:
Answer:
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
Step-by-step explanation:
Let x be the amount of dough required for small pizza, y be the amount of dough required for medium pizza and z be the amount of dough required for large pizza.
As per the question , we have
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
Hence, the equation for the question with the variable representing the amount of dough needed for small pizza.
[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]
-15 POINTS PLS HURRY- Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 cm to 4 cm
Hi there! :)
Answer:
[tex]\huge\boxed{\frac{9cm}{8cm}}[/tex]
We can disregard the units temporarily to create a ratio for 4.5 to 4:
4.5 is not a whole number- we can convert this number in the ratio to a whole number by multiplying both numbers by 2:
2 · (4.5 : 4) = 9 : 8
Express as a fraction:
[tex]9cm : 8cm = \frac{9cm}{8cm}[/tex]
Find the value of x. A. 45 B. 30 C. 6 D. 15
Answer:
answer is b
Step-by-step explanation: i am sure of it
Answer:
D. 15
Step-by-step explanation:
Both equations need the same end result because this is a square:
3x - 15 = 45 - x =
3x - 3x = 45 - x - 3x
0 = 45 - 4x
4x = 60
4x/4 = 60/4 =
X = 15
Check:
3(15) - 15 = 45 - 15
45 - 15 = 45 - 15
30 = 30
help me find VW and YZ
Answer:
VW=35
YZ=50
Step-by-step explanation:
As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:
2(4y+7)=12y-14
8y+14=12y-14
4y=28
y=7
So, VW=4(7)+7=35.
Similarly, you can find YZ through VT:
2(7x-17)=8x+2
14x-34=8x+2
6x=36
x=6
Therefore, YZ=8(6)+2=50.