Answer: The equation to find Number of grand seats, s are either of the following
x+ s= Total seats
x+s= 19,000
5000+s= 19,000
Number of grand seats, s= 14,000
Step-by-step explanation:
Step 1
A stadium had a total of 19,000 seats.
Given that field seats=5,500
And the rest which are grandstand seats=?
Let field seats be represented as x and grand seats be represented as s
such that the total number of seats can be expressed as
x+ s = Total seats
x+ s= 19,000-------- Equation.
5000+s= 19,000
Step 2
Such that given field seats, x= 5000, Number of grand seats will now be
x + s= 19,000
5000 + s= 19,000
s= 19,000-5000
=14,000 seats
4. Jim and Kirk are playing a card game where they trade chips. At the beginning of the game, Jim has four times as many chips as Kirk does. After Kirk wins the game, Jim gives Kirk 18 of his chips, at which point they now have the same number of chips. How many did Kirk have to begin with?
(a) If j represents the original number of chips Jim had and k represents the original number of chips that Kirk had, then write an equation that models the amount of chips they originally had. Explain your equation.
(b) The equation j k − = + 18 18models the scenario after Kirk wins the game. Explain why.
(c) Determine how many chips both Kirk and Jim started with.
Answer:
(a) [tex]j = 4k[/tex]
(b) [tex]4k - 18 = 18 + k[/tex]
(c) Jim initially had 48; Kirk initially had 12
Step-by-step explanation:
Given
[tex]j = Jim[/tex]
[tex]k=Krik[/tex]
Solving (a): An equation for the amount they originally had.
From the question, we understand that j is 4 times as many as k.
Mathematically, this is:
[tex]j = 4 * k[/tex]
[tex]j = 4k[/tex]
Solving (b): Equation after Kirk wins
Initially Kirk had k.
To get the new expression, we add 18 to k.
This gives: 18 + k
In the same vein, Jim's number of chirps will reduce by 18.
Initially, Jim had j chirps (or 4k chirps)
To get the new expression, we subtract 18 from j.
This gives: j - 18
So, the equation is:
[tex]j - 18 = 18 +k[/tex]
Solving (c): Number of chirps they started with.
In (b), we have:
[tex]j - 18 = 18 +k[/tex]
Substitute 4k for j
[tex]4k - 18 = 18 + k[/tex]
Collect Like Terms
[tex]4k - k = 18 + 18[/tex]
[tex]3k = 36[/tex]
Divide both sides by 3
[tex]k =12[/tex]
Substitute 12 for k in [tex]j = 4k[/tex]
[tex]j = 4 * 12[/tex]
[tex]j = 48[/tex]
Simplify the expression using the distributive property 3(2x+5) =___
Step-by-step explanation:
[tex] \text{3(2x + 5)}[/tex]
Distribute 3 through the parentheses :
⇢[tex] \tt{3 \times 2x + 3 \times 5}[/tex]
⇢[tex] \tt{6x + 15}[/tex]
[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{6x + 15}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex]\huge\boxed{\bold{6x+15}}[/tex]
Step-by-step explanation:
Hi there!
The Distributive Property states that
[tex]\bold{a(b+c)=ab+ac}[/tex]
All we should do is "distribute" a.
Now, let's solve the given problem.
[tex]\bold{3(2x+5)}[/tex]
[tex]\bold{6x+15}[/tex]
Hope this helps!
#HaveAnAwesomeDay
~Just a teenage girl willing to help
[tex]\bold{Besties4Ever}[/tex]
You eat 1/4 box of cereal at breakfast. How long will 2 7/8 boxes last?
Answer:
11.5 days
Step-by-step explanation:
Step-by-step explanation:
step 1. 2-7/8/(1/4) = (23/8)/(1/4) = 23/2 = 11-1/2.
step 2. it doesnt say how often you eat 1/4 boxes. let's assume it is daily.
step 3. answer: 11-1/2 days.
Write an
equation of the line passing through the points (4,13) and (-1,- 12).
Answer:
Step-by-step explanation:
(-12 - 13)/(-1 - 4)= -25/-5 = 5
y - 13 = 5(x - 4)
y - 13 = 5x - 20
y = 5x - 7
A. Solve the following linear inequalities.
1. x + 7 <1
2. x + 3.2 < 6.4
3. 3x < 12
4. x/2.5 >5
5. 4a 23.6
6. 1.6 b< 8
7. Z + 4.2 < 2.1
Answer:
1. x < −6
2. x < 3.2
3. x < 4
4. x>12.5
5. ? there is no "<, >" sign
6. b<5
7. z<−2.1
pls give brainliest
Step-by-step explanation:
see photos for explanation
ILL GIVE U BRAINLYIST
Answer:
C a rectangle 4 by 3
Step-by-step explanation:
5. What is the value of x?
Answer:
5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90 triangle the ratio of sides, respectively, is 1 : [tex]\sqrt{3}[/tex] : 2
you can set up a proportion like this to solve for 'x':
[tex]\sqrt{3}[/tex] / 1 = 15 / x
cross-multiply:
[tex]\sqrt{3}[/tex]x = 15
x = 15/[tex]\sqrt{3}[/tex]
rationalize the denominator by multiply top and bottom by [tex]\sqrt{3}[/tex]
you get 15[tex]\sqrt{3}[/tex] ÷ 3 which is 5[tex]\sqrt{3}[/tex]
Subtract. Express your answer in simplest form.
8 1/4 - 5 2/3
George and mindy are playing with a ball that has a diameter of 38 centimeters. What is the volume of the ball?
Answer:
28734.6cm^3
Step-by-step explanation:
Given data
diameter of ball = 38cm
radius = 38/2 = 19cm
The volume of a spher= 4/3πr^3
substitute
V= 4/3*3.142*19^3
V=4/3*3.142*6859
V=4/3*21550.978
V=86203.912/3
V= 28734.6cm^3
Hence the volume of the ball is 28734.6cm^3
26,062, 26,064, __
2,898, 322, 324, 36
What is the missing number in the pattern above?
PLEASE HELP ME SOMEONE
Answer: A
Step-by-step explanation:
HELLPPPPPP!!!!!
Jane needs a short-term loan to buy a new washing machine. She needs to borrow $1500 at 20% compounded
annually and plans to have it paid off in 1 year. Jane writes the formula 1500(1.2) and finds out that this loan will
cost her $1800
Which equation shows how Jane can rewrite the formula to find the annual percentage rate that would cost her the
same amount if it compounded semi-annually?
O A ~ 1500(1.2)
O A = 1500(1.2)2
O A 1500(1.095)2
O A = 1500(1.095)*'
Answer: A=1500 (1.095)1/2t
please help me with it
Answer:
50
Step-by-step explanation:
bfa and afe will add up to equal 180 because they are supplementary
20x+2x+70=180
22x+70=180
22x=110
x=5
then you plug in 5 to 2x+70 to get 80
cfe and afe are also complementary so they will add up to equal 180 so angle cfe equals 100
cfd and cfe are the same angles so 100/2=50.
the arc length is the same as the angles so arc length dc is 50
Find the volume of the cone. Round to the nearest tenths
Answer:
[tex]vol. \: of \: cone = \frac{1}{2} \pi {r}^{2} h \\ = \frac{1}{2} \times \frac{22}{7} \times 8 \times 8 \times 9 \\ = \frac{11 \times 64 \times 9}{7} \\ = \frac{6336}{7} = 905.142[/tex]
Can somebody who has done word problems plz help give the correct equations for each one :DD thanks!
WILL MARK BRAINLIEST WHOEVER ANSEERS THEM FIRST !!!!!!:D
Answer:
18. x + 7 = 21
19. x - 55 km = 1000 km
WILL GIVE BRINALIEST!
Suppose the daily high temperatures for a six-day period in a northern city were −23°F, −29°F, −28°F, −27°F, −21°F, and −28°F. Calculate the average daily high temperature.
°F
-21, -23, -27, -28, -28, -29 order them least to greatest and then find the middle if there is not a middle then put -27.5 as your answer for the median. For the mean add up all the number then you should get -156 then divide it by 6 which should give you -26 for the mean. and for the mode you should get -28 as the one that occurs the most often.
mean: -26
median: -27.5
mode: -28
hi can someone pls help me find the slope?!!
Answer:
The slope is [tex]-\frac{2}{4}[/tex] or you can do -1/2
Step-by-step explanation:
the slope is m = -2 / 4 = -1 / 2 = -0.5
Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 3: 4x + y = 24
4(5) + y = 24
20 + y = 24
-20 -20
y = 4
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)
+ 12x + 3y = 72
14x = 70
→ x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 3: 4x + y = 24
4x + 4 = 24
-4 -4
4x = 20
x = 5
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
→ y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
Explain how you know that a system od equations has an infinite numbe of solutions.
Graph the function y=4/3x+3
Answer:
Basically, you will first graph the 3 or (0,3) on the graph. Then you go 4 units up and 3 units to the right.
Hope this helps, thank you !!
can someone help me out please. its due soon and i dont have alot of time
Answer:
heyy there sorry i wish i could help i think its the first one!!!
Step-by-step explanation:
In a right triangle, the measure of one acute angle is twice the sum of the measure of the other acute angle and 30. Find the measure of each acute angle in the triangle
Answer:
Step-by-step explanation:
if we have a right triangle,
one angle=90
180-90=90
let x be one angle, and y another angle
the other is 2x+30
x+2x+30=90
3x=60
x=20
y=70
The measure of each acute angles are 80 degrees and 10 degrees.
The triangle is a right angle triangle. This means one of its angles is 90 degrees.
The other 2 angles sum up to 90 degrees.
An acute angle is less than 90 degrees.
The measure of one acute angle is twice the sum of the measure of the other
acute angle and 30. Therefore,
first acute angle = x
let the other angle = y
y = 2(x + 30)
y = 2x + 60
2x - y = -60
x + y = 90
3x = 30
x = 30 /3
x = 10 degrees
y = 90 - 10
y = 80 degrees
learn more: https://brainly.com/question/19750219?referrer=searchResults
The shoes cost $200 with a sales tax of
7.5%, How much is the total Costs?
To find the area of a composite figure, you must find the area of each polygon
and then add their areas together to find the total area of the composite figure.
What is the height of the triangle?
A. 13cm
B. 6cm
C. 8cm
Answer:
6 cm
Step-by-step explanation:
Here, we want to get the height of the triangle
As we can see , the whole
length is 13 cm
This is obtained by adding the length of the side of the rectangle to the height of the triangle
Thus, we have that
height = 13-7
height = 6 cm
Factor completely.
7x5 – 21x4 + 14x3 =
=
[tex]7x^5-21x^4+14x\\ \\ 7x^3(x^2-3x+2)\\ \\ 7x^3(x-1)(x-2)[/tex]
A rectangular room is 15 feet long and 10 feet wide. A scale drawing of the room has a width of 5 inches. What is the length of the room in the drawing??
A. 10.0 inches
B. 5 inches
C. 7.5 inches
D. 30.5 inches
-8(y + 5) = -8y - 40 TRUE or FALSE
Answer: true because that’s what you get when you use the distributive property
Step-by-step explanation:
answer this question plz
Please help! Will mark brainliest
Answer:
surface area=602.88 in^2+
Step-by-step explanation:
top & bottom:
6^2 x Pi x2=36 x 3.14x2=226.08 in^2
vertical side:
circumference X height
2(6)(Pi)x10=2(6)(3.14)(10)=376.8 in^2
376.8+226.08=602.88 in^2
surface area=602.88 in^2
me need help on math
Answer:
B. 75
Step-by-step explanation:
To find x (the number of students who went to the zoo) you would isolate the variable. 6x + 25 = $475 -> 6x = $450 -> x = 75. (Brainliest would be appreciated and if you have any questions then type them in the comments.)
HALP! I don't understand this! I need an explanation right away! Thank you for your help!
Answer:
1/2
Step-by-step explanation:
there are 13 cards in each type so
heart or diamond would mean either one so 13 +13=26
26/52
1/2
TOTAL NUMBER OF HEART CARDS= 13
TOTAL NUMBER OF DIAMOND CARDS= 13
PROBABILITY OF AN EVENT
= NUMBER OF FAVOURABLE OUTCOMES
TOTAL NUMBER OF POSSIBLE OUTCOMES
Probability of getting a heart card♥=13/52 =1/4
Probability of getting a DIAMOND card♦= 13/52 =1/4
Probability of getting a heart and a diamond card =26/52 =1/2
I hope you got it!!!...right!!