She is serving hot coffee and cold coffee in two rectangular-shaped tanks, each with dimensions width 8.75 inches, length 8.75 inches, height 23 inches.
The hot coffee has a density of 5.8 oz/in3 and the cold coffee has a density of 3.5 oz/ in3
(A) What is the volume of the coffee in each tank?
Show all math work needed to complete this problem.
(B) What is the mass of the coffee in each the tank?
Show all math work needed to complete this problem.
(C) How many tanks can be placed on a table which can support a maximum weight of 800 lb?
Explain why or why not.
Show all math work needed to complete this problem.
Answer:
Part ADimensions of tank:
width = 8.75 inlength = 8.75 inheight = 23 in⇒ Volume of each tank = width × length × height
= 8.75 × 8.75 × 23
= 1760.9375 in³
Part BGiven:
Hot coffee density = 5.8 oz/in³Cold coffee density = 3.5 oz/in³mass = density × volume
⇒ mass of hot coffee = 5.8 oz/in³ × 1760.9375 in³
= 10213.44 oz (nearest hundredth)
⇒ mass of cold coffee = 3.5 oz/in³ × 1760.9375 in³
= 6163.28 oz (nearest hundredth)
Part CConvert the masses of the tanks from ounces to pounds
1 lb = 16 oz
⇒ mass of hot coffee tank = 10213.44 ÷ 16
= 638.34 lb (nearest hundredth)
⇒ mass of cold coffee tank = 6163.28 ÷ 16
= 385.21 lb (nearest hundredth)
If the table can hold a maximum of 800 lb:
hot coffee: 800 lb ÷ 638.34 lb = 1.25 (nearest hundredth)
cold coffee: 800 lb ÷ 385.21 lb = 2.08 (nearest hundredth)
Therefore, either:
1 tank of hot coffee OR2 tanks of cold coffeecan be placed on a table which can support a maximum weight of 800 lb
What is the value of x in the triangle?
Answer: [tex]D. 6\sqrt{x} 2[/tex] is the answer
Step-by-step explanation:
!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.
A) 2.4
B) 4.6
C) 5.4
D) 3.7
A convoy must carry 44 tons of goods. Because there are 3 trucks that are assigned to other jobs, each of the remaining trucks has to carry an additional 1.5 tons. How many cars did the group have at the beginning? (Know that each truck carries the same number of goods).
please help me!!
Write (9,-4) and (1,6) in slope intercept form,
Answer:
y = -5/4x + 7 1/4
Step-by-step explanation:
The difference in y (10) over the difference in x (8)
does anyone know the width the length the height of this tissue box pls someone tell me Asap.
Answer:
Hey!
Well based on my knowledge it usually says that on the tissue box itself.... (in fine print)
i may be wrong.... but do check...
help help help help help
Answer:
mPS = 80°
Step-by-step explanation:
angles on a circle subtended by the same arc are congruent
∠ PQS and ∠ PRS are both subtended by arc PS , then
10 + 3x = 110 - 7x ( add 7x to both sides )
10 + 10x = 110 ( subtract 10 from both sides )
10x = 100 ( divide both sides by 10 )
x = 10
then
∠ PQS = 110 - 7x = 110 - 7(10) = 110 - 70 = 40°
the inscribed angle PQS is half the measure of its intercepted arc PS , then
PS = 2 × 40° = 80°
The factors of 52 and the first three factors of 130 are listed in the table below. Fill in the remaining five factors of 130 and then identify the greatest common factor, or GCF, of 52 and 130.
Type the multiples in the increasing order.
130: 1, 2, 5,
GCF of 52 and 130:
Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130
GCF of 52 and 130 is 26
I found a similar question here so that's what I can only tell you. I hope it will help you.
help geometry ………ignore this i need 20 words
Answer:
The answer is 1
Step-by-step explanation:
(a) The angle pitch of a roof is safest when measuring between 18° – 27°. According to these guidelines, is the roof pictured in the image safe?
(b) What is length of the roof line (segment PR)? Round answer to the nearest tenth of a foot and show all your work.
Find Q
tanQ=Perpendicular/BasetanQ=4/15tanQ=0.26Q=tan^-¹(0.26)Q=14.6°Not safe
Apply Pythagorean theorem
PR²=4²+15²=16+225=241
PR=√241Answer:
a) not safe
b) 15.5 ft (nearest tenth)
Step-by-step explanation:
Part (a)Tan trig ratio
[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = xO = PV = 4 ftA = RV = VQ = 15 ftSubstituting the given values into the formula and solving for x:
[tex]\implies \sf \tan(x)=\dfrac{4}{15}[/tex]
[tex]\implies \sf x=\tan^{-1}\left(\dfrac{4}{15}\right)[/tex]
[tex]\implies \sf x=14.9^{\circ}\:(nearest\:tenth)[/tex]
As 14.9° is not between 18° and 27°, the roof is not safe.
-------------------------------------------------------------------------------------------------
Part (b)Pythagoras’ Theorem
[tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = RV = VQ = 15 ftb = PV = 4 ftc = PRSubstituting the given values into the formula and solving for PR:
[tex]\implies \sf 15^2+4^2=PR^2[/tex]
[tex]\implies \sf 225+16=PR^2[/tex]
[tex]\implies \sf PR^2=241[/tex]
[tex]\implies \sf PR=\sqrt{241}[/tex]
[tex]\implies \sf PR=15.5\:ft\:(nearest\:tenth)[/tex]
Alexa danced for 3 2/4 hours on Saturday. Sherlyn swam 1/5 of that time. How many
hours did Sherlyn swim on Saturday?
Answer:
Sherlyn swam 42 minutes on Saturday
Step-by-step explanation:
danced for 3 2/4 hours on Saturday
3 2/4 hours is equivalent to 3.5 hours
1 / 5 of (that time) 3.5 hours is (1 / 5) * 3.5 = 0.7 hours
Because one hour is equal to sixty minutes, in order to change the units you have to multiply the number of hours, 0.7, by 60.
0.7 x 60 = 42 minutes
Let me know if you have any questions !
AND WELCOME TO BRAINLY :)
Options
3 - 2n
3 + 2n
2 + 3n
2 - 3n
Answer:
3 - 2n
Explanation:
Difference means we have to subtract integers.
Let the number be n. Twice of this number: 2n
Difference of 3 and twice this number: 3 - 2n
Which situation can be represented by the inequality 150 ≤ 15x + 55 ?
a. Thomas has 15 baseball cards in his collection. He will buy 55 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at most 150 baseball cards?
b. Thomas has 15 baseball cards in his collection. He will buy 55 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at least
150 baseball cards?
c. Thomas has 55 baseball cards in his collection. He will buy 15 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at most 150 baseball cards?
d. Thomas has 55 baseball cards in his collection. He will buy 15 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at least 150 baseball cards?
Inequalities help us to compare two unequal expressions. The correct option is C.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The situation that can be represented by the inequality 150 ≤ 15x + 55 is Thomas has 55 baseball cards in his collection. He will buy 15 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at most 150 baseball cards?
Hence, the correct option is C.
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If P Is inversely proportional to the square of q and p is 22 when a is 8 determine p when Q is equal to 4
The value of p is equal to 76 when q is equal to 4
Given :
If p is inversely proportional to the square of q
when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]
given that p is inversely proportional to the square of q. the equation becomes
[tex]p=\frac{k}{q^2}[/tex]
when p is 19 the value of a is 8
Replace the values and find out q
[tex]p=\frac{k}{q^2}[/tex]
[tex]22=\frac{k}{8^2}[/tex]
[tex]22=\frac{k}{64}[/tex]
Multiply both sides by 64
k=1216
Now we find out p when q is 4
Replace k value and q value to find out p
[tex]p=\frac{k}{q^2}[/tex]
[tex]p=\frac{1216}{4^2}[/tex][tex]p=76[/tex]
The value of p is equal to 76 when q is equal to 4
Learn more : https://brainly.com/question/15316932
Answer:
P = 88.
Step-by-step explanation:
P = k/q^2
22 = k/ 8^2
k = 22 * 64 = 1408.
So P = 1408/q^2
When q = 4:
P = 1408/4^2
q = 88
7). John had 9 pieces of gum at the
beginning of the day. He now has 8
pieces of gum. How much gum did
he eat during the day? Write the
equation and the solution.
Answer:
9-1=8
Step-by-step explanation:
he started with 9 but at the end of the day he had 8. meaning he ate 1 peice
Answers this any links will be reported
Hey there!
ASSUMING
(3x)° + 45° = 180°
3x + 45 = 180°
SUBTRACT 45 to BOTH SIDES
3x + 45 - 45 = 180 - 45
SIMPLIFY IT!
3x = 180 - 45
3x = 135
DIVIDE 3 to BOTH SIDES
3x/3 = 135/3
SIMPLIFY IT!
x = 45°
Therefore, the answer should be:
x = 45
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\large\boxed{\sf{x=45}}[/tex]Step-by-step explanation:
Given:
Complementary angles of 180 degrees.To solve:
For x, to isolate it one side of the equation.(3x)°+45°=180°
3x+45=180First, subtract by 45 from both sides.
3x+45-45=180-45
Solve.
Subtract these numbers goes from left to right.
180-45=135
3x=135
Divide by 3 from both sides.
3x/3=135/3
Solve.
Divide these numbers from left to right.
135/3=45
[tex]\Longrightarrow: \boxed{\sf{x=45}}[/tex]
Therefore, the final answer is x=45.I hope this helps, let me know if you have any questions.
kyle runs 5 days a week. On Sunday he runs half of his weekly distance. On monday he runs 1/4 of the remaining distance for the week. What fraction of the weekly distance remains to be run?
A. 1/8
B. 1/4
C. 3/8
D. 3/4
Answer:
B. 1/4
Step-by-step explanation:
We can use the distance = rate ⋅ time formula to find the distance Lee traveled. The formula d = rt looks like this when we plug in the numbers from the problem. The unknown distance is represented with the variable d. To find d, all we have to do is multiply 65 and 2.5.
(-3+7i)(1-2i) can you help me with the answer to this
Answer:
11 + 13i
Step-by-step explanation:
A must know is that
[tex] \sqrt{i} = - 1[/tex]
Complex numbers
1st: foil the equations
[tex] - 3(1 - 2i) + 7i(1 - 2i)[/tex]
[tex] - 3 + 6i + 7i- 14 {i}^{2} [/tex]
2nd Combine like terms and substitute
[tex]i ^{2} for \: - 1[/tex]
[tex] - 3 + 14 + 13i[/tex]
[tex]11 + 13i[/tex]
For each value of v, determine whether it is a solution to -6(v+4)=-6
Answer:
v = -3
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify given.
-6(v + 4) = -6
Step 2: Solve for v
[Division Property of Equality] Divide -6 on both sides:∴ the value of v is equal to -3.
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Topic: Algebra I
Solve y-8/3=-7 show work
Answer: y = -13
Step-by-step explanation:
Given:
[tex]\displaystyle \frac{y-8}{3} =-7[/tex]
Multiply both sides by 3:
[tex]\displaystyle y-8 = -21[/tex]
Add 8 to both sides:
[tex]\displaystyle y= -13[/tex]
Given equation,
y - 8 / 3 = -7Aim :
To find value of y.Cross multiplying them,
>> y - 8 = -7 × 3
>> y - 8 = -21
Transposing -8 from L.H.S. to R.H.S.,
>> y = -21 + 8
>> y = -13
Therefore :
Value of y is -13.can anyone help me with this
Step-by-step explanation:
If 5x - 8 = 12 , then x = 4
5x - 8 = 12
5x = 12 + 8
5x = 20
x = 20/5
x = 4
If -2(3x + 5) = -17 + x , then x = 1
-2(3x + 5) = -17 + x
-6x - 10 = -17 + x
x + 6x = 17 - 10
7x = 7
x = 7/7
x = 1
Find the statement Pk + 1 for the given statement Pk
Step-by-step explanation:
k has to be replaced by k+1.
so,
4 / ((k+1)(k+1 + 3)) = 4 / ((k+1)(k+4))
I am not sure how far your teacher expects you to go with this.
just in case, I will do also the full multiplications
4 / ((k+1)(k+4)) = 4 / (k² + 4k + k + 4) = 4 / (k² + 5k + 4)
and if you need the factor to go from Pk to Pk+1 :
Pk+1 / Pk = (4/((k+1)(k+4))) / (4/(k(k+3)) =
= (4/((k+1)(k+4))) × (k(k+3))/4 =
= (k(k+3)) / ((k+1)(k+4))
Use the stem-and-leaf plot below to match each term with the correct value. (Round to the nearest whole number.)
Answer:
Step-by-step explanation:
16, 18, 23, 25, 26, 34, 37, 37, 40, 41, 46
( 16 + 18 + 23 + 25 + 26 + 34 + 37 + 37 + 40 + 41 + 46 ) ÷ 11 = 31.181818...
mean ≈ 31
median = 34
mode = 37
what’s the volume of the prism?
Answer:Don’t know I will just get points.Thx
Step-by-step explanation:
What is the volume of a sphere with a diameter of 9.1 m, rounded to the nearest tenth of a cubic meter?
The diagram shows a right-angled triangle.
to
5 cm
11 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.
65.6
First find the hypotenuse:
(hyp)²=(opp)²+(adj)² theo. of pyth.
(hyp)²=(11)²+(5)² subt.
(hyp)²=121+25 calc.
√(hyp)²=√146
hyp=12.08cm
sinx = 11/12.08
x=sin-¹(11/12.08)
x=65.6°
What are the coordinates of the image of (-3, -7) after the translation (x, y) - > (x-9, y + 9)? F (-6, 16) H (12, -2) G (6, -16) J (-12, 2)
The coordinates of the image of (-3, -7) after the translation will be equal to .(-12,2)
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. Here the image is translated as (x-9,y+9).
The given coordinate of the point is:- (-3,-7)
So the translation will be calculated as:-
=(x-9,y+9 )
=(-3-9,-7+9
=(-12,2)
Hence coordinates of the image of (-3, -7) after the translation will be equal to (-12,7)
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My son would like to know what is the solution to Pi and i don't even know so I someone to help me with this!
Answer:
3.14285714Step-by-step explanation:
[tex] \frac{22}{7} = 3.14285714[/tex]Stay safe, stay healthy and blessed.Stay safe, stay healthy and blessed.Have a good day !Stay safe, stay healthy and blessed.Have a good day !Thank youGIVING BRAINLIEST!!!!!
Simplify.
- (u+5)+5 (2u-5)
Answer:
Step-by-step explanation:
-u-5+10u-25=9u-30
it was easy.
