Answer:
3 gallons
Step-by-step explanation:
as u can travel 32 miles on 1 gallon, 32 x 3 = 96 so 1 x 3= 3
Sam and Larry’s Ice Cream Shoppe sells the following sizes of ice cream cones: single at $0.89, double at $1.19; triple at $1.39. One day, Danielle sold 52 ice cream cones. She sold two more than twice as many doubles as triples. If she sold $58.98 in cones, how many of each size did she sell?
9514 1404 393
Answer:
17 singles24 doubles11 triplesStep-by-step explanation:
Let s, d, t represent the numbers of singe, double, and triple cones sold. The problem statement tells us three relationships.
s + d + t = 52 . . . . . . Danielle sold 52 cones one day
d -2t = 2 . . . . . . . doubles is 2 more than twice the number of triples
0.89s +1.19d +1.39t = 58.98 . . . . total amount of sales
__
There are many ways to solve this set of equations. A graphing calculator can quickly tell you the solution is ...
(s, d, t) = (17, 24, 11)
__
If you want to solve this by hand, it may work well to use substitution.
The second equation gives an expression for d:
d = 2t +2
The first equation gives an expression for s that can be written in terms of t.
s = 52 -d -t
s = 52 -(2t +2) -t = 50 -3t
Using these in the last equation, we have ...
0.89(50 -3t) +1.19(2t +2) +1.39t = 58.98
1.10t = 12.10 . . . . . . . . collect terms, subtract 46.88
t = 11 . . . . . . . . . . . . . . divide by 1.10
d = 2(11) +2 = 24
s = 50 -3(11) = 17
Danielle sold 17 singles, 24 doubles, and 11 triple cones.
Convert 45°C to Fahrenheit.
Answer:
113 degrees Fahrenheit
Step-by-step explanation:
The rate of change in sales S is inversely proportional to time t(t > 1) measured in weeks. Find S as a function of t if sates after 2 and 4 weeks are 200 units and 350 units respectively.
A. S(t) = 50 [3 ln t/ln2 +1]
B. S(t) = 550 [3 ln t/ln3 +150]
C. S(t) = 50 [3 ln t/ln2 +11]
D. S(t) = 50 [11 ln t/ln2 +1]
E. S(t) = 550 [ln t/ln3 +1]
Answer:
A. S(t) = 50 [3 ln t/ln2 +1]
Step-by-step explanation:
We are told that the rate of change in sales S is inversely proportional to time.
Thus;
dS/dt = k/t
Where k is the constant of proportionality.
So,
dS = (k/t)dt
Integrating both sides gives us;
S = (kIn t) + C
We are given that after 2 and 4 weeks are 200 units and 350 units respectively.
Thus;
S(2);
(k In 2) + C = 200 - - - (eq 1)
(k In 4) + C = 350 - - - -(eq 2)
To find k, let's subtract eq 1 from eq 2 to get;
(k In 4) - (k In 2) = 350 - 200
(k In 4) - (k In 2) = 150
k(In 4 - In 2) = 150
0.6931k = 150
k = 150/0.6931
k = 216.42
Plugging this for k in eq 1 gives;
(216.42 In 2) + C = 200
C = 200 - 150
C = 50
Thus;
S(t) = (216.42In t) + 50
Now 216.42 can also be expressed as;
150/In 2
Thus;
S(t) = ((150/In 2)In t) + 50
Factorizing out gives;
S(t) = 50 [(3 ln t/ln2) + 1]
Option A is the correct answer
PLS HELP WILL GIVE BRAINLIST - Which number represents a square root of 3 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) )?
Answer:
B
Step-by-step explanation:
Got it right on the test
(B) [tex]\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))[/tex]
Square root:The factor we can multiply by itself to obtain a given number is the number's square root. Sqrt, which stands for "square root of," is the sign for the term. Squaring an integer is the reverse of finding its square root.Steps to square root a trigonometric function -Find the given trigonometric equation.Put the square term on its own side of the equal sign.Taking square roots on both sides.By using inverse trigonometric functions, get the value of x.Explanation:De Moivre's theorem: [tex]z=r*[cos([/tex]θ[tex])+i*sin([/tex]θ[tex])}[/tex][tex]][/tex]
Raising both sides to the [tex]n^{th}[/tex] - [tex]z^{n} =r^{n} *[cos(n*[/tex]θ[tex])+i*sin(n*[/tex]θ[tex])][/tex]
The square root operation undoes the squaring operation, so we'll be dealing with [tex]n=2[/tex].
If you were to go with each choice, then you'll find that squaring choice (B) will lead to the original expression given.
[tex]z=\sqrt{3} *[cos(\frac{\pi }{4} )+i*sin(\frac{\pi }{4} )]\\z^{2} =(\sqrt{3} )*[cos(2*\frac{\pi }{4} )+i*(2*\frac{\pi }{4} )]\\z^{2} =3*[cos(\frac{\pi }{2})+i*sin(\frac{\pi }{2} )][/tex]
Therefore, the correct answer to the question is (B) [tex]\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))[/tex].
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write a polynomial equation of degree 4 that has the roots of -1 repeated three times and 4.
Answer:
f (x) = (x+1) 3These three is elevated with the parenthesis ( x- 4)
Step-by-step explanation:
Which rectangular prism has a volume equal to the expression 6 * 3 * 4?
1 cubic un
= 1 cubic unit
- 1 cubicund
= 1 cubic unit
Answer:
The bottom right one
Step-by-step explanation:
i did the test
Fourth one or right one at the bottom rectangular prism has a volume equal to the expression 6 × 3 × 4 cubic unit.
What is volume?" Volume is total amount of space occupied by any three dimensional body."
Formula used
Volume of rectangular prism = Length × width ×height
According to the question,
Compare the expression of given volume with given diagrams
Given volume = 6 ×3×4
From the diagram we can conclude that right one at the bottom has length = 6 units, width = 3 units and height = 4 units.
Hence, Option(D) or right one at the bottom is the correct answer.
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What is the slope of a line parallel to the line whose equation is 2x-y=-7. Fully reduce your answer
Answer:
mother answer would be mparellel=2
Answer:
2
Step-by-step explanation:
Solve for x. 2x – 16 = -9
Answer:
x = 7/2
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
2x-16=-9
2x=-9+16
2x=7
x=7/2 or 3.5
Use the Distributive Property to expand the expression -3(6.3x + 1.5y)
Answer:
(-3*6.3x)+(-3*1.5y)
(-18.9x)+(-4.5y)
Think about using decimal models to show 6.84. If you only used tenths what place would you not be able to model? How many tenths would you use to model the other two places?
Step-by-step explanation:
plase see it i work by paper worksheet
what is 2 and 1 3rd times 5
Answer:
2[tex]\frac{1}{3}[/tex]x5=11[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
5x2=10
[tex]\frac{1}{3}[/tex]x5=[tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3}[/tex]=1[tex]\frac{2}{3}[/tex]
10+1[tex]\frac{2}{3}[/tex]=11[tex]\frac{2}{3}[/tex]
HELP it would be greatly appreciated!
Answer:
The answer would be (D 70 degrees
Step-by-step explanation:
Each triangle is 180 degrees. 180 - 40 equals 140. 140 divided by two equals 70.
Hope this helps ^^✨
Answer:
D: 70°
Step-by-step explanation:
Angles A and B are going to be the same, and the interior angles of a triangle must equal 180°, so D is the correct answer
70 + 70 + 40 = 180
Which graph represents the function f(x)=2.4?
Answer:
show the graph then we can fingerite out
Step-by-step explanation:
we will have to see the graph then we can see what we are working with
Aaron spent $35 to buy some new baseball
cards. Each pack of cards cost the same whole
dollar amount. How many packs of cards
could he have bought?
Answer:
He can buy 7 packs or 5 packs it depends on how each costs seperately.
Step-by-step explanation:
If each pack costs 5 dollars then he can buy 7.
If each pack costs 7 dollars then he can buy 5.
A car travels 55 miles per hour for two hours. Complete the table. HELP 20 points!!!!!!!!!
Answer: If a car travels 55 miles per hour for 2 hours it will be 110 hour I guess
Step-by-step explanation: I think you want help here um I’m in 7th grade I don’t think I like this before but I can try to answer it, Is this h-help you
Find the 61st term of -12, -28, -44,
Answer:
[tex]a_{61}=-972[/tex]
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:
[tex]a_{61}=-12+(61-1)(-16)[/tex]
[tex]a_{61}=-12-60*16=-12-960[/tex]
[tex]\mathbf{a_{61}=-972}[/tex]
Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. dr dt depends on r2, not simply r. The volume only appears constant; it is actually a rational relationship. The rate of change of the radius is a linear relationship whose slope is dV dt . The rate of change of the radius is a cubic relationship. dr dt as a function runs parallel to the volume function, which is not linear.
Answer:
Hello your question has some missing parts below is the missing part
A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute
answer :
dr/dt depends on r^2 not simply rStep-by-step explanation:
The rate of change of the radius of the sphere is not constant even though dv/dt is constant is because ;
dr/dt depends on r^2 not simply rand this is because dr/dt is proportional to 1/r^2 therefore the rate of change of the radius cannot be constant even though dv/dt is constant
I need help urgently! Will mark the brainliest
Answer: 100
Step-by-step explanation:
4(5)^5
4 x 5^5
4 x 25
100
Whoever answers gets brainlist!
Answer: The Correct Answer is 6 because 16+24 is 40 then minus 10 is 30
16-15 is 1 then plus 4 is 5 then you divide 30 by 5 and get 6
Step-by-step explanation: BRAINLIEST PLS
Answer:
I'm pretty sure its 6.
Step-by-step explanation:
plz help! will give brainliest!!!
Answer:
1.42 x 105
Step-by-step explanation:
Answer: Each ticket costed 11.75$
Step-by-step explanation:
Solve for M in the formula S= C+M.
A. M= S+ C
B. M= S - C
C. M= SC
D. M= s/c
Answer:
im pretty sure its a
Step-by-step explanation:
HELP ME PLES I NEED IT
Answer:
The trip is 50 miles
Step-by-step explanation:
30 = (60/100)T
T = (10/6)(30) = (5/3)(30) = 50 miles
m&D = 65; m&C = 45; m&F = 55; m_H = 60; .
Find the measure of XE and &G.
Determine if ACDE - AFGH
I give 20 score! Find the volume
Answer: 381
Step-by-step explanation:
Lets solve this in two parts, first the bottom one, then the upper one
Bottom one is a rectangle so 3*7*16=336
The one above is a triangular prism or something. You use base times height to find it. The base is 3*5/2=7.5
7.5 times height of 6 is 45.
Now add the 2 together to get 381
Victoria wants to purchase a skateboard. She finds it regularly sells for $139.99 and is on sale for 15% off.
What is the final cost of the skateboard?
Write your answer in steps: (Explain how you solved it)
Answer:
118.99
Step-by-step explanation: 15% off so you're only gonna pay 85% of 139.99. so 139.99 times 85% is 118.99
Can someone help me find the value of X please?
Answer:
x = -4
Step-by-step explanation:
A circle is 360 degrees.
Anyway, first add 85 + 35 + 115 and you will get 235.
Now subtract 235 from 360.
360 - 235 = 125 degrees
Now to find x, do
-32x - 3 = 125
-32x = 128
-32x/-32 = 128/-32
x = -4
Hope it helped! My answer is expert verified.
help- which of the following functions will produce the graph
Answer:
B
Step-by-step explanation:
y= -24/x²+8
y-int ( 0,-3
10. You can model the population of a Florida town between the years 1980 and 2015 by
the function f(x) = 90,000(x – 1960), where x is the year. In what year did the town have a
population of 450,000?
Write the statement as an equation Anumber decreased by six is five more than twice the number.
let the numbers be x
x-6-5=2x
Answer:
x - 6 = 2x + 5
Step-by-step explanation:
Let's break down the statement.
A number decreased by six means a number/variable subtracted by six. So, we have x - 6.
Five more than twice a number means five plus two times a number/variable. So, we have 2x + 5.
The 'is' in the middle of the statement signifies that they are equal to each other.
The equation would be x - 6 = 2x + 5.
Hope that helps.
A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 8 ounces are dispensed. Suppose that the average amount dispensed in a particular sample of 35 bottles is 7.91 ounces with a variance of 0.03 ounces squared. Is there evidence that the machine should be stopped and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of significance in the analysis should be 99%.
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis is:
[tex]H_o: \mu = 8[/tex]
The alternative hypothesis is:
[tex]H_1 : \mu \ne 8[/tex]
The sample size n = 35
Sample mean = 7.91
variance = 0.03
Standard deviation = [tex]\sqrt{0.03} = 0.173[/tex]
The t-test statistics is computed as:
[tex]t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}[/tex]
[tex]t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}[/tex]
t = - 3.0741
Degree of freedom:
df = n - 1
df = 35 - 1
df = 34
Level of significance = 1 - C.I
= 1 - 0.99
= 0.01
The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:
[tex]t_{critical} = -2.728 \ and \ 2.728[/tex]
Decision rule: To reject [tex]H_o[/tex] if [tex]t< -2.728 \ or \ t > 2.728[/tex]
As [tex]t_{statistics}[/tex] fails the rejection region, we reject [tex]H_o[/tex]
Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.
You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.
There is enough evidence that the machine should be stopped and production wait for repairs.
Given information about taken sample are:Sample mean [tex] \overline{x} = 7.91[/tex]Sample size n = 35Sample standard deviation [tex]s = \sqrt{variance} = \sqrt{0.03} = 0.1732[/tex]Confidence should be of 99%.Let the population mean be denoted by [tex]\mu[/tex]
Forming hypotheses:Null hypothesis: [tex]\mu = 8[/tex] (that is, machine needs no repair and working fine)
Alternate hypothesis: [tex]\mu \neq 8[/tex] (that is, machine is not dispensing right amount and need repairs)
Using t test:
[tex]t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821[/tex]
Degree of freedom = sample size - 1 = 34
Level of significance = [tex]\alpha = 1 -0.99 = 0.01[/tex]
From t tables we have:
[tex]t_{critical} = t_{0.01} = \pm 0.278[/tex] (two tailed test) (at 34 degree of freedom)
Since obtained value of t -0.30821 is less than the minimum value of range [tex](-0.278, 0.278)[/tex], thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.
Thus, there is enough evidence that the machine should be stopped and production wait for repairs.
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