Step-by-step explanation:
x = cost of a small box
y = cost of a large box
16x + 14y =343
13x + 23y = 470.5
now we multiply both equations with factors so that we have the same number of x in both (we could the same for y, but I simply picked x, because their original factors are closer and smaller).
and then we subtract the second equation from the first and since the result for y.
13 × (16x + 14y = 343)
16 × (13x + 23y = 470.5)
gives us
208x + 182y = 4459
- 208x + 368y = 7528
----------------------------------
0x - 186y = -3069
186y = 3069
y = $16.50
now let's pick e.g. the first original equation to get x :
16x + 14y = 343
16x + 14×16.5 = 343
16x + 231 = 343
16x = 112
x = $7.00
the cost of a small box is $7.00
the cost of a large box is $16.50
find the surface area of the composite figure
Answer:
I don't know I just wanted to finish the steps
find the value of x y and z in the rhombus below
Answer:
X = 2(3x + 4)
the rest i dont know sorry D:
Reflect (-4,-6) across the y-axis.
Answer:
(4,6)
Step-by-step explanation:
since they are negitave number and there being reflected across the y axis they will be positve
In a game, each participant has to carry water with a small hemispherical container of radius 3 cm, and then pour the water into a larger hemispherical bowl of radius 9 cm. Find the least number of times a participant must carry water so that the larger bowl is fully filled.
Answer:
81 times
Step-by-step explanation:
The problem is essentially asking for the volume of the two hemispheres. Once the volume of the two hemispheres are found, we can divide the larger hemisphere by the smaller one. That will give the amount of times the smaller volume fits into the larger volume.
The volume of a hemisphere is the volume of a sphere divided by 2. Therefore, the volume of the smaller hemisphere is:
[tex]v = \frac{1}{2} (\frac{4}{3} \pi {r}^{3} )[/tex]
[tex]v= \frac{1}{2} (\frac{4}{3} \pi {3}^{3} )[/tex]
[tex]v = 6\pi[/tex]
The volme of the larger hemisphere is:
[tex]v = \frac{1}{2} ( \frac{4}{3} \pi {9}^{3} )[/tex]
[tex]v = 486\pi[/tex]
Then:
[tex] \frac{486\pi}{6\pi} = 81[/tex]
(59-6) x (⅓) ³ + 27 ÷ 3 =
8² ÷ 4 x (2 + 3) -9 =
Answer:
(59-6) × [tex]\sf{(\frac{1}{3})}^{3}[/tex] + 27 ÷ 3
=53 × [tex]\sf\frac{{1}^{3}}{{3}^{3}}[/tex] + 3³ ÷ 3
=53 × [tex]\sf\frac{1}{27}[/tex] + [tex]\sf{3}^{3-1}[/tex]
=[tex]\sf\frac{53\times1}{27}[/tex] + [tex]\sf{3}^{2}[/tex]
=[tex]\sf\frac{53}{27}[/tex] + 9
=9 + [tex]\sf\frac{53}{27}[/tex] + 9
=[tex]\sf\frac{9\times27+53}{27}[/tex]
=[tex]\sf\frac{243+53}{27}[/tex]
=[tex]\sf\frac{296}{27}[/tex]
=[tex]\sf\frac{270}{27}+\frac{26}{27}[/tex]
=[tex]\sf10+\frac{26}{27}[/tex]
=[tex]\sf10\frac{26}{27}[/tex]
[tex]\sf\:[/tex]
8² ÷ 4 × (2 + 3) - 9
=(8×8) ÷ 4 × 5 - 9
=64 ÷ 4 × 5 - 9
=4³ ÷ 4 × 5 - 9
=[tex]\sf{4}^{3-1}[/tex] × 5 - 9
=4² × 5 - 9
=(4×4) × 5 - 9
=16 × 5 - 9
=80 - 9
=71
A tube of tennis balls has the following measures: 4-inch diameter and a height of 8 inches. What is the surface area of the tube of tennis balls? (Use 3.14 for π.)
A)301.44 in.^ 2
B)226.08 in. ^2
C)213.52 in. ^2
D)125.6 in. ^2
The surface area of the tube of tennis balls is 125.6 inches
What is the surface area of the tube of tennis balls?The given parameters are:
Diameter, d = 4 inches
Height = 8 inches
Start by calculating the radius (r)
Radius (r) = Diameter/2
So, we have
r = 4 inches/2
Evaluate
r = 2 inches
The surface area of the tube of tennis balls is calculated as:
Surface area = 2πr(r + h)
So, we have:
Surface area = 2 * 3.14 * 2 * (2 + 8)
Evaluate the product
Surface area = 125.6 inches
Hence, the surface area of the tube of tennis balls is 125.6 inches
Read more about surface area at
https://brainly.com/question/76387
#SPJ1
9) Twenty-seven (27) months is months less than 3 years. Termain Fonhniene
Answer:
Decimal answer: 0.75 months. Fraction answer: 3/4
Step-by-step explanation: You have to make the 27 months into years, which is 2.25 years. Then subtract 2.25 from 3 and it equals 0.75.
Looking for the best answer
Answer:
Down 13
Step-by-step explanation:
The negative 13 is the b, and the b is on the y axis, negative means down
write an equation for the line in slope intercept form
y = ax + b
2 points on the line ( 0 ; 5 ) so b = 5
and ( 2 ; -3 )
so a = (-3 - 5) / (2 - 0) = - 8 / 2 = - 4
=> y = -4x + 5
or
4x + y - 5 = 0
NO LINKS!!! Please help me with this problem. PART 9
THIS IS NOT MULTIPLE CHOICE!!
a. How long should a guy wire be if it is to connect to the top of the tower and be secured at a point on the sloped side 100 feet from the base of the tower?
b. How long should a second guy wire be if it is to connect from the base on the flat side?
Answer:
a. 493 ft.
b. 269 ft.
Step-by-step explanation:
Please see the attached pictures.
a. Since we are interested in the length of AD, and ∆ABD does not have a right angle, we should think about using sine rule or cosine rule. We are only given two lengths in ∆ABD thus let's find one more angle, ∠ABD.
∠ABD= ∠ABC -∠CBD
∠CBD= 10° (given)
Since the tower should be vertically upright from the ground, we can assume that ∠ABC is 90°.
∠ABD= 90° -10°
∠ABD= 80°
With 2 lengths and 1 angle, we can apply cosine rule to find the length of the 3rd side:
[tex]\textcolor{steelblue}{{ {c}^{2} = {a}^{2} + {b}^{2} - 2abcosC}}[/tex]
(AD)²= 500² +100² -2(500)(100)(cos80°)
After simplifying and taking the square root of both sides, we obtain:
AD= 492.58 (5 s.f.)
AD= 483 (3 s.f.)
Thus, the guy wire has to be [tex]\textcolor{red}{{483 ft}}[/tex].
__________
b. Here, we make the assumption that the 500 ft. is excluding the height of the antenna and each square unit has the same height.
The tower is made up of 12 boxes, while the second guy wire is connected to the 6th box of the tower from the ground.
12 boxes ----- 500 ft
6 boxes ----- 500 ÷2= 250 ft
Pythagoras' Theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.
Applying Pythagoras' Theorem,
x²= 100² +250²
x²= 72500
Taking the square root of both sides:
x= 269.26 (5 s.f.)
x= 269 (3 s.f.)
Thus, the length of the second guy wire is [tex]\textcolor{red}{{269 ft}}[/tex].
Answer:
a) 493 ft (nearest foot)
b) 269 ft (nearest foot)
Step-by-step explanation:
Part a
The guy wire creates a triangle with the tower with the following:
longest side = 500 ftshortest side = 100 ftangle between longest side and shortest side = 90 - 10 = 80°Therefore, as we have an angle with 2 adjacent side lengths, we can use the cosine rule to find the length of the unknown side opposite the angle.
cosine rule: c² = a² + b² - 2ab cos C
(where C is the angle, a and b are the sides adjacent the angle, and c is the side opposite the angle)
Substituting given values into the equation and solving for c:
c² = a² + b² - 2ab cos C
⇒ c² = 500² + 100² - 2(500)(100) cos(80°)
⇒ c² = 260000 - 100000cos(80°)
⇒ c = √[260000 - 100000cos(80°)]
⇒ c = 492.5801277...
Therefore, the length of the guy wire that is connected to the top of the tower and is secured at a point on the sloped side 100 ft from the base of the tower is 493 ft (nearest foot).
Part b
From inspection of the diagram, we can see that the second (left) guy wire is attached halfway up the height of the tower.
This guy wire creates a right triangle with the tower with the following:
height = 500 ÷ 2 = 250 ftbase = 100 ftTherefore, as we have the length of both legs of a right triangle, we can use Pythagoras' Theorem to find the length of the wire:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Substituting given values into the equation and solving for c:
a² + b² = c²
⇒ 100² + 250² = c²
⇒ c² = 72500
⇒ c = √(72500)
⇒ c = 269.2582404...
Therefore, the length of the second guy wire is 269 ft (nearest foot)
find the slope of the line through the give points (-6,17) .(-6,130
if 2m+1/m=3(2)½ find 8m^3+1/m^3
Answer:
12(eeefu+×x176e
Step-by-step explanation:
fjxooosb w. bbjj
Question 3 < > In a particular class of 33 students, 18 are men. What fraction of the students in the class are women?
Answer:
Your answer is 15 Women
Step-by-step explanation:
33-18= 15
Molly is having her birthday party at Pizza Party Palace. The costs involved are listed below. Pizza Party Palace requires a 10% deposit prior to the date of the event. If the deposit has been paid, how much is still owed for Molly's party?
Party Prices
• Food & Drink $250
• Game Tokens $100
• Other $70
A.
$84
B.
$336
C.
$378
D.
$42
Answer:
C. $378
Step-by-step explanation:
Total cost of party = food & drink + game tokens + other
= 250 + 100 + 70
= $420
Deposit = 10% of total cost
= 10% of $420
= 0.1 x 420
= $42
Total cost still to pay = total cost - deposit
= 420 - 42
= $378
Ruisa ran 13.03 miles on Monday and 11.54 miles on Tuesday. How many more miles did Ruisa run on Monday than Tuesday?
Answer:
24.57 Miles
Step-by-step explanation:
Since you want to know the amount he ran on both days you must add so 11.54+13.03=?.And since it is decimal adding we must keep the decimals [tex]11.54+13.03[/tex]Hundredths Place Value
3 + 4 = 7
Put the 7 in Hundredths place
Tenths Place Value
0 + 5 = 5
Put the 5 in Tenths place
Ones Place Value
3 + 1 = 4
Put the 4 in Ones place
Tens Place Value
1 + 1 = 2
Put the 2 in Tens place
3. Which of these numbers, when rounded off to the nearest 1000, gives 99 000? 98 833; 99 583; 99 374; 98 476, 98 783; 99 574; 98 587
Answer:
98,833 98,783 98,587
Step-by-step explanation:
These numbers go up to 99,000 because... the 8 in each of these numbers ask the hundreds place numbers if he can go up.
And if those numbers are 5 and above they can which leads to the 8 going up to 9 making 99,000
for the first one 98,833 it can go up because hundreds place number is a 8 so because of 8 being 5 and above it can go up.
For the second number 98,783 it can go up because the hundreds place number 7 is 5 and above so it can go up.
And for our last number 98,587 it has a 5 in it's hundreds place number so it just makes the cut to go up so those are numbers.
Sorry I'm late but I hope it can still help you actually I'm very very very very very very very very very very very very very very very very very sorry.
Hope it still helps have a great afternoon:)
4. Un auto recorre 75 millas en 3 horas, ¿Cuánto tiempo tarda en recorrer 225 millas?
Answer:
9 hours
Step-by-step explanation:
75 ----- 3
225 ---- x
[tex]x = \frac{(225)(3)}{75} =\frac{675}{75} =9 h[/tex]
Hope this helps
answer correctly. thank you
Answer:
1. If it rains tomorrow then the concert will be canceled.
2. If you have two square roots then it's a positive integer.
Step-by-step explanation:
Changing the order of the words and adding if/then
help me people please i need your help no its due by today
Answer:
1.A bus containing 30 people would likely be charged 90 dollars following the decreasing entrance fee per person cost for the amount of people.
2. the amount of people if the bus charged 122 dollars would likely be 61 people
3. The state park uses the number of people inside the vehicle to determine how much it should cost per person, with the entrance fee per person decreasing as the number of people increases.
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A circle has a diameter of 28 centimeters.
Estimate the area of the circle. Use
3.14
or
22
___
7
for
π
.
Answer:
616 square centimeters
Step-by-step explanation:
Area of a circle is equal to pi × r^2. In this case, they have asked that you substitute 3.14 or 22/7 for pi, so I will be using 22/7, instead.
Diameter is equal to 2r; to find the radius, simply divide 28 by two. This gives us a radius of 14.
Multiply 14 squared by 22/7:
(22/7)(14^2)
This gives us (22/7)(196); (4312/7); 616.
Therefore, the area of the circle is approximately 616 square centimeters.
Madison made the following table to record the height of each person in her family. About how much taller is her mom than Jade? Be sure to round to the nearest half or whole.
Please include table for proper answer
find the value of x and y in the triangle. 45-45-90. please help!! even if you can only do one :((
here a subtraction problem that has been solved incorrectly what is the right answer for 74-25=59 but do it in the addition sentence that check the subtraction problem
Answer:
Answer:
the equation is wrong
Step-by-step explanation:
=> 74-25=59
since 74 - 25 equals to 59 in order to find the addition sentence that will check the subtraction problem is true and 59 and 3/5 or you can add add 59 and 25 to check if the problem was solved correctly
=> 59+25
add 59 to 25
=> 84
this means the question is wrong
The inequality x< 30 can be used to represent how tall a tree is, where x is its height in feet. Write a statement that best describes how tall the tree is?
Answer:
The tree is shorter than 30 feet.
Step-by-step explanation:
The expression x<30 shows that the height of the tree is less than 30 so we can say that the tree's height is less than 30 feet.
Kiana's soccer team's ratio of wins to losses is 5:3. Her team has played 24 games. How many games have they won?
The win-to-loss ratio of 5:3 is a "part-to-part" ratio, so we can represent each part as a fraction of the whole. We can do this by simply adding 3 + 5 = 8 (the "whole") and dividing by that total. This gives us a ratio of Images, which means that the Bombers won Images of their games and lost Images of them. Since they played a total of 120 games, they won Images games and lost Images games.
we know the team has played a total of 24, and we know the wins : losses ratio is 5 : 3, so let's simply divide 24 by (5 + 3) and distribute accordingly.
[tex]\cfrac{wins}{losses}\implies \cfrac{~~5\cdot \frac{24}{5+3}~~}{3\cdot \frac{24}{5+3}}\implies \cfrac{~~ 5\cdot \frac{24}{8}~~}{3\cdot \frac{24}{8}}\implies \cfrac{5\cdot 3}{3\cdot 3}\implies \cfrac{\stackrel{\mathbb{WINS}}{15}}{9}[/tex]
Can someone help me with this
Answer:
Bottom box= 103/210
Middle-right box=19/30
Middle-left box=7/21
Step-by-step explanation:
we can convert 1/7 to 21ths so it will be easier to add.
1/7 = 3/21
so, 3/21 + 4/21 = 7/21
we can now use that to find the box next to it.
The LCM (lowest common multiple) of 21 and 30 is 210.
7/21 = 70/210
29/30 = 203/210
so 203/210-70/210 = 19/30 (simplified)
and finally, we can use this to work out the fraction in the bottom box.
LCM of 30 and 7 is also 210.
so 1/7 = 30/210
19/30 = 133/210
so 133/210 - 30/210 = 103/210.
Show how to divide 9 pieces of licorice among 4 people. Use a picture, words and/or numbers.
Answer:
ok so lets divide 9 by 4 so
9/4=2 1/4
so each person would get 2 licorise and a quarter of another
Hope This Helps!!!
Write a number sentence that tells what the model represents
Answer:
5x3=15
Step-by-step explanation:
Refer to the graph. Estimate the coordinates of the points A, B, C, D, E, and F.
Answer:
A = (4, -4.5)
B = (-1.5, 0)
C = (-1.5, -2.3)
D = (4.5, 3.5)
E = (2, 4.5)
F = (0, -4.5)
Step-by-step explanation:
A scoop of ice cream in the shape of a whole sphere sits in a right cone. The radius of the ice cream scoop is 3.0 cm and the radius of the cone is 3.0 cm. What is the volume of the scoop of ice cream? Show all your work. How tall must the height of the cone be to fit all the ice cream without spilling if it melts? Show all your work.
Answer:
Answer:
a. 462
b. 49
Step-by-step explanation:
take pi as 22/7
a. volume= π r² h/3
22/7 × 3² × h/3
22/7 × 3 × h
22/7×3
cross multiply
462
b. h= 3 × v/π r²
3 × 462 over 22/7 × 3²
multiply each term by 7
7×3×7×462over22/7×3²
21×462over22×3²
21/1×462/198
= 9702/198
= 49