Answer:
25
Step-by-step explanation:
To model the situation, we can write an equation. 16% of a number is the same as multiplying it by 0.16. Naming the number x, we are give that 16% of it is 4:
0.16x = 4
Dividing by 0.16 on both sides we get:
x = 25
Jeremy makes $4.70 every time he mows a lawn but it costs him $6.80 to refill the tank. If Jeremy mows 5 lawns using 3 tanks of gas, how much did he profit?
Show expression used and step by step explanation
Answer:
$3.10
Step-by-step explanation:
Money earned by mowing 5 lawns (income) = $4.70 x 5 = $23.50
Cost of filling 3 tanks (expenditure) = $6.80 x 3 = $20.40
Profit = income - expenditure
= $23.50 - $20.40
= $3.10
Plzz help and no wrong answer need to be done asap
Answer:
1/500
Step-by-step explanation:
Evaluate the surface integral. S xz dS S is the boundary of the region enclosed by the cylinder y2 + z2 = 16 and the planes x = 0 and x + y = 10
If you project S onto the (x,y)-plane, it casts a "shadow" corresponding to the trapezoidal region
T = {(x,y) : 0 ≤ x ≤ 10 - y and -4 ≤ y ≤ 4}
Let z = f(x, y) = √(16 - y²) and z = g(x, y) = -√(16 - y²), each referring to one half of the cylinder to either side of the plane z = 0.
The surface element for the "positive" half is
dS = √(1 + (∂f/∂x)² + (∂f/dy)²) dx dy
dS = √(1 + 0 + 4y²/(16 - y²)) dx dy
dS = √((16 + 3y²)/(16 - y²)) dx dy
The the surface integral along this half is
[tex]\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16-y^2} \sqrt{\frac{16+3y^2}{16-y^2}} \, dx \, dy[/tex]
[tex]\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16+3y^2}\, dx \, dy[/tex]
[tex]\displaystyle \iint_T xz \,dS = \frac12 \int_{-4}^4 (10-y)^2 \sqrt{16+3y^2} \, dy[/tex]
[tex]\displaystyle \iint_T xz \,dS = 416\pi[/tex]
You'll find that the integral over the "negative" half has the same value, but multiplied by -1. Then the overall surface integral is 0.
Please help me solve for x
Answer
x = 32
step by step explanation
mr. salmon is getting pool ready for summer. The pool liner had some holes in it, so he decides to replace it. In order to replace the liner, the water must be drained from the pool. The pool holds 25,000 gallons of water, and it takes 8 hours to drain 80% of the water. the answer is 2 hours. Why is that the answer
Answer:
Because 8 hours to drain 80% would mean it takes 10 hours to completely drain the pool leaving the 2 hours to drain.
Step-by-step explanation:
Jana loves to go shopping. Yesterday she borrowed a wad of money from her mother and went to the mall. She began her excursion by spending $18 on a new compact disc. Then she spent half of her remaining money on a new dress. Then she spent $11 taking herself and her friend out to lunch. Then she spent one-third of her remaining money on a book. On her way home she bought gas for $12 and spent one-fourth of her remaining money on a discount CD at the convenience store. Finally, she slipped $2 to her younger brother when she got home and gave her mother back $10 in change. Her mother was furious and demanded an explanation of where the money went. What did Jana tell her
Jana told her that she began her excursion by spending $18 on a new compact disc. Then she spent half of her remaining money on a new dress. Then she spent $11 taking herself and her friend out to lunch. Then she spent one-third of her remaining money on a book. On her way home she bought gas for $12 and spent one-fourth of her remaining money on a discount CD at the convenience store. Finally, she slipped $2 to her younger brother when she got home
Choose one of the following words that fits the definition:
Answer:
A rule that can be proven is called a theorem
Step-by-step explanation:
Answer:
Theorem
Step-by-step explanation:
Theorem is a rule that can be proven
Let's prove Pythagorean theorem
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
Take a set 3,4,5[tex]\\ \sf\longmapsto 5^2=3^2+4^2[/tex]
[tex]\\ \sf\longmapsto 25=16+9[/tex]
[tex]\\ \sf\longmapsto 25=25[/tex]
Verified
Will GIVE BRAINLYEST
In some states, a driver of a vehicle may not use a handheld cell phone
while driving. In one state with this law, 250 randomly selected drivers
were surveyed to determine the association between drivers who know
the law and drivers who obey the law.
The results are shown in the table below.
11. Complete the table of two-way relative frequencies using percents.
*4
SCHOOL
SPEED
LIMIT
>
Use
betw
20
NAM
20.
Knows the Law
AU-
O Houghton Mifflin Harcourt Publishing Company. Image credit: OLeena
Robinson/Shutterstock
Yes
No
Obeys the Law
Yes
Total
205
REMINDER
160 =
45 =
Houghton Mifflin Harcourt Publishing Company
CELL PHONE
USE
PROHIBITED
UP TO $200 FINE
No
25 =
20 =
45
Total
185
65
250
2.
12. What is the relative frequency of drivers who
know and obey the law?
13. What is the relative frequency of drivers who
know the law?
Answer:
74%
Step-by-step explanation:
Ive done this before
HELP PLS
Graph: f(x) = 2(2)^x.
Answer:
Some of the graph's coordinates are:
(-2, 1/2)
(-1, 1)
(0, 2)
(1, 4)
Step-by-step explanation:
A running tap dispensed 0.16 gallons of water every second. How many pints of water is dispensed after 25 second?
Answer:
the answer would be 4
Step-by-step explanation:
.16x25
. There are seven people in a club: A, B, C, D, E, F, and G. A committee of 3 people is formed. What is the probability that G is on the committee
Step-by-step explanation:
there are 7 over 4 total possibilities to create a group of 3 or if 7.
that is
7! / (4! × (7-4)!) = 7×6×5 / 3×2 = 7×5 = 35
for the probability we need also the number of the desired cases, a the probability is
number of desired cases / number of total cases
the desired cases are all combinations, where G is a part of.
for that we make G a constant, and now we have only 6 variable candidates for the other 2 positions on the committee.
that is 6 over 2 or
6! / (2! × (6-2)!) = 6×5/2 = 3×5 = 15
so, the probability that G is in the committee is
15/35 = 3/7 = 0.428571429...
Can’t get this one need some help
Answer:
slope is 1
Step-by-step explanation:
y2-y1/x2-x1 is 1/1 so the answer is 1
Determine if the equation x-3y^2=1 is a function
Answer:
[tex]f(x)=y=-\frac{1}{3} x+\frac{2}{3}[/tex] if a function since for ∀[tex]x[/tex]∈ R
[tex]f(x):R_{x} _{ \to } R_{y}[/tex] uniquely.
what sign would make this a true statement?
3.28x10^16 ___ 4.25x10^16
A. =
B. >
C. <
D. None of the above
Answer: B should be the answer
hope it helps :]
When interest is compounded
quarterly, find the nominal rate if the effective rate is 8.7%
Answer: Use SoupCalculator I have the answer I just dont want you to get it wrong
please help me <33 thankyousm
9514 1404 393
Answer:
a. reflection across line l
b. see attached
c. no
Step-by-step explanation:
a.The easiest transformation to put figure H' back where figure H is will be "reflection across line l". A reflection back across the same line of reflection puts the figure in its original location.
__
b.The attached figure shows the requested translation and labeling. The dim dotted figure is the original translation of H along vector EF. The reflection of that across line l is marked H''' as required.
__
c.No, figures H'' and H''' are not in the same location. One only needs to look at the diagram to see this.
In general the order of translation and reflection makes a difference. This means reflection of H to H', then translation to H'' will have a different result than translation of H to H(shadow), then reflection to H'''.
Pls help!!! only 20 minutes left pls help 100 point math question
Step-by-step explanation:
To find a ratio, you have to divide a next terms with before terms.
A1 = 35/2
A2 = 7
ratio = A2 ÷ A1
ratio = 7 ÷ 35/2
ratio = 7 × 2/35
ratio = 14/35 = 0,4
Ratio = 0,4
During a popcorn fundraiser, $288 was raised for selling 24 tins. The next day. $420 was raised for selling 35 tins. Are the unit rates equivalent?
A. No, because they have different amounts of money.
B. No, because one is $14 per tin and the other is $24 per tin.
C. Yes, because it costs $24 per tin.
D. Yes, because it costs $12 per tin.
Answer:
D. Yes, because it costs $12 per tin.
Step-by-step explanation:
Lin runs 5 laps around a track in 8 minutes. If Lin runs 21 laps at
the same rate, how long does it take her?
a) 13.13 minutes
b) 441 minutes
c) 33,6 minutes
d) 1.6 minutes
Answer:
It will take 25.2 minutes to complete 21 laps.
Step-by-step explanation:
The rate of covering 5 laps is:
v = 6/5
Therefore, the time taken to cover 21 laps is:
t = 21/v
t = 21*6/5
t = 25.2
Hence, it will take 25.2 minutes or 25 minutes 12 seconds for Lin to complete 21 laps.
If 6 hands is 2 feet and 3 feet is 7 arms and 3 arms is 2.5 heads, how many heads is 10 hands? Round to the nearest tenth
The question is an illustration of unit conversion
10 hands is equivalent to 6.5 heads
The given parameters are:
[tex]\mathbf{6\ hands = 2\ feet}[/tex]
[tex]\mathbf{3\ feet= 7\ arms}[/tex]
[tex]\mathbf{3\ arms= 2.5\ heads}[/tex]
Divide both sides of [tex]\mathbf{6\ hands = 2\ feet}[/tex] by 2
[tex]\mathbf{3\ hands = 1\ feet}[/tex]
Multiply both sides by 3
[tex]\mathbf{3 \times 3\ hands = 3 \times 1\ feet}[/tex]
[tex]\mathbf{9\ hands = 3\ feet}[/tex]
Recall that:
[tex]\mathbf{3\ feet= 7\ arms}[/tex]
Substitute 7 arms for 3 feet
[tex]\mathbf{9\ hands = 7\ arms}[/tex]
Divide both sides by 7
[tex]\mathbf{\frac{9\ hands}{7} = \frac{7\ arms}{7}}[/tex]
[tex]\mathbf{\frac{9\ hands}{7} = 1\ arm}[/tex]
Multiply both sides by 3
[tex]\mathbf{\frac{9\ hands}{7} \times 3= 1\ arm \times 3}[/tex]
[tex]\mathbf{\frac{27\ hands}{7}= 3\ arms}[/tex]
Recall that: [tex]\mathbf{3\ arms= 2.5\ heads}[/tex]
So, we have:
[tex]\mathbf{\frac{27\ hands}{7}= 2.5\ heads}[/tex]
Multiply both sides by 7
[tex]\mathbf{27\ hands= 17.5\ heads}[/tex]
Divide both sides by 27
[tex]\mathbf{1\ hands= \frac{17.5}{27}\ heads}[/tex]
Multiply both sides by 10
[tex]\mathbf{10 \times 1\ hands= 10 \times \frac{17.5}{27}\ heads}[/tex]
[tex]\mathbf{10 \times 1\ hands= \frac{175}{27}\ heads}[/tex]
[tex]\mathbf{10\ hands= \frac{175}{27}\ heads}[/tex]
[tex]\mathbf{10\ hands= 6.5\ heads}[/tex]
Hence, 10 hands is 6.5 heads
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What is the reciprocal of 8 1/4 ?
a. 4/33
b. 33/4
c. 8 1/4
d. 8 4/1
Answer:
d
Step-by-step explanation:
because you flip the numerator and denominator so the you'd get 8 4/1
Answer:
I thought it would be A
Step-by-step explanation:
because if you make 8 1/4 an improper fraction, it becomes 33/4.
the reciprocal of 33/4 is 4/33
A restaurant bill of $7,000 was increased to $8,260 ofter service charge added. What rute (%/ of the service charge) vus
Answer:
18%
Step-by-step explanation:
percentaje:
%= [tex](\frac{8260-7000}{7000}) (100)=(\frac{1260}{7000} )(100)=(0.18)(100)=18[/tex]
I hope this help you
A rectangle has a length 4 m less than twice its width. When 3 m are added to the width, the resulting figure is a square with an area of 100 m². Find the dimensions of
the original rectangle.
Answer:
305
Step-by-step explanation:
sorry!
i need help with these asap
Answer:
Step-by-step explanation:
a) (72 + 78 + 80 + 85 + 85 + 92 + 96) / 7 = 588 / 7 = 84 mean
b) (72 + 78 + 80 + 85 + 85 + 92 + 96) 85 median
1 2 3 4 3 2 1
c) (72 + 78 + 80 + 85 + 85 + 92 + 96) 85 mode
1 1 1 2 1 1
d) the sum of the difference of median and scores is greater below the median than it is above the median
e) (588 + 100) / (7 + 1) = 688/8 = 86
Solve.
X 6 = 3
A)
x = -3
8
B)
X-2
X-3
D)
X-9
Answer:
please write the q in a straiet way
Step-by-step explanation:
i cant understand
Sammy wants to buy a new stereo priced at $442. He enters into an agreement to pay
$20 a month for 24 months. How much will the finance charge be for this purchase?
State your answer in terms of dollars rounded to the nearest cent (hundredth).
Step-by-step explanation:
Cash Price = $442
installments of $20 for 24 months = $480
in the end, he would be paying $38 dollars more.
How do the expressions 7+h2−5 and 10(h+2)−2h compare when h = 9? Drag a symbol into the box to correctly complete the statement. 7+h2−5 Response area 10(h+2)−2h when h = 9.
Answer:
8+h3-4
Step-by-step explanation:
10(h+2)−2h when h = 9.
The relation between the expression at h = 9 will be;
⇒ 7 + h² - 5 < 10 (h + 2) - 2h
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The expressions are,
⇒ 7 + h² - 5
⇒ 10 (h + 2) - 2h
Now,
Solve the expression for h = 9 and find the relation between them as;
Since, The expressions are,
⇒ 7 + h² - 5 ...(i)
⇒ 10 (h + 2) - 2h ...(ii)
Substitute h = 9 in (i), we get;
⇒ 7 + h² - 5 = 7 + 9² - 5
= 7 + 81 - 5
= 83
And, Substitute h = 9 in (ii), we get;
⇒ 10 (h + 2) - 2h = 10 (9 + 2) - 2 x 9
= 10 x 11 - 18
= 110 - 18
= 92
Thus, We get;
⇒ 7 + h² - 5 < 10 (h + 2) - 2h
Therefore, The relation between the expression at h = 9 will be;
⇒ 7 + h² - 5 < 10 (h + 2) - 2h
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If the point (-7,5) lies on the graph of y=f(x), which of the following points must lie on the graph of its
inverse?
Answer:
option 1
Step-by-step explanation:
Given (x, y ) lies on the graph of f(x) , then the corresponding point on the graph of its inverse is (y, x ) , so
If point (- 7, 5 ) lies on the graph of f(x) , then
(5, - 7 ) lies on the graph of its inverse
5.
Describe how the graph is like the graph of y = |x| and how it is different.
A. The graphs have the same y-intercept. This graph is steeper than y = |x|.
B. The graph is the same as y = |x|.
C. The graphs are the same shape and have the same y-intercept.
D. The graphs are the same shape but have different y-intercepts.
Answer:
D. The graphs are the same shape but have different y-intercepts.
Step-by-step explanation:
How many pounds of chocolate that is 45% cocoa should be mixed with 6 pounds of pure cocoa mass to obtain a chocolate that is 78% cocoa? plz help im dying irl
Using a system of equation, the amount in pounds of chocolate required is 4
Let :
Number of pounds of chocolate = cHence, we can create an equation thus :
0.45c + 6(1) = 0.78(6 + c)
0.45c + 6 = 4.68 + 0.78c
Collect like terms
6 - 4.68 = 0.78c - 0.45c
1.32 = 0.33c
Divide both sides by 0.33
c = 1.32 / 0.33
c = 4
Hence, 4 pounds of chocolate is required.
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