9.4 Qiz Setting up and solving simultaneous equations B
The total height of 4 building blocks and a flagpole on top is 23 cm.
The total height of 9 building blocks and a flagpole on top is 43 cm.
Find the height of a building block and the height of a flagpole.
Height of a building block =
cm
Height of a flagpole =
cm
Answers
Answer:
building block = 4cm
flag pole = 7 cm
Step-by-step explanation:
9b + f = 43
4b + f = 23
5b = 20
b = 4
16 + f = 23
23 - 16 = 7
f= 7
36 + 7 = 43
Related Questions
W-1<4 need help please
Answers
Answer:
5
Step-by-step explanation:
collect like terms
w<4+1
w<5
160% of what number is 80% please help!
Answers
A tank contains 3000 L of pure water. Brine that contains 15 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. The concentration of salt after t minutes (in grams per liter) is C(t) = 15t 120 + t . As t → [infinity], what does the concentration approach? g/L
Answers
Answer:
15 g/L
Step-by-step explanation:
Since Brine is added to the tank containing 15g/L at a rate of 25 L/min, the rate at which the quantity of salt in the tank increases is 15 g/L × 25 L/min = 375 g/min. So, in t minutes, the mass of salt in the tank, m is 375 g/min × t min = 375t
Also, the volume of the tank increases by 25 L/min, in t minutes, its volume increases by 25 L/min × t min = 25t. So, the new volume, V is 3000 + 25t.
Since we know, concentration C(t) = m/V = 375t/(3000 + 25t)
dividing through by 25, we have
C(t) = 375t/25/(3000/25 + 25t/25)
C(t) = 15t/(120 + t)
To find the limit as t ⇒ ∞, we divide C(t) by t
C(t) = 15t/t/(120/t + 1)
C(t) = 15/(120/t + 1)
putting t = ∞, we have
C(∞) = 15/(120/∞ + 1)
C(∞) = 15/(0 + 1)
C(∞) = 15/1
C(∞) = 15 g/L
So, as t t → [infinity], the concentration approaches 15 g/L
solve the equation by factoring: 6x-0.2x^2=0
Please ill give brainliest to the correct answer
Answers
Answer:
The solution to the quadratic equation:
[tex]x=0,\:x=30[/tex]
Step-by-step explanation:
Given the equation
[tex]6x-0.2x^2=0[/tex]
6x - 0.2x · x = 0
Factor out common term -x
-x (0.2x - 6) = 0
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x=0\quad \mathrm{or}\quad \:0.2x-6=0[/tex]
solving
[tex]0.2x-6=0[/tex]
Multiply both sides by 10
[tex]0.2x\cdot \:10-6\cdot \:10=0\cdot \:10[/tex]
Refine
[tex]2x-60=0[/tex]
Add 60 to both sides
[tex]2x-60+60=0+60[/tex]
Simplify
[tex]2x=60[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{60}{2}[/tex]
Simplify
[tex]x=30[/tex]
Thus, the solution to the quadratic equation:
[tex]x=0,\:x=30[/tex]
I also need help rq for questions number 3
Answers
Answer:
12 because 12 to the power of two will be 12 x 12 = 144, and 35 x 35 = 1225 which is b and 37 x 37 = 1369 which is c and is the answer so.. 144 + 1225 = 1369. SO 12 would fit!
Describe the pattern. Draw what might be the next three figures in the pattern
Answers
Answer:
i dont know lol
Step-by-step explanation:
There are 45 students who participate in tennis. Of these, 18 do an event other than running. What percent of the students do an event other than running? *
Answers
Answer:
garal 45 students to participate in tennis out of this it into an event other than running what percentage of the students do another event it is 45 - 18 and you will get a number and that answer you multiply it by hundred and divide 100 then it will give you an answer
Answer:
[tex]40\%[/tex]
[tex] \frac{18}{45} \times 100[/tex]
[tex] \frac{18}{9} \times 20[/tex]
[tex]2 \times 20[/tex]
[tex] = 40[/tex]
Step-by-step explanation:
[tex]hope \: it \: helps \: you \: [/tex]
Solve the system of equations
-3x+y=-9
3x-y=9
Uh I think the answer is no solution???!? But I’m not sure, pls help.
Answers
Answer:
Infinitely Many Solutions
Step-by-step explanation:
-3x+y=-9
3x-y=9
--------------
0=0
90 students are participating in a contest. There are twice as many girls as boys in this group. Max ranks fourteenth from the top, and there are 10 girls who rank higher than him. How many boys rank lower than Max?
Answers
Answer: 57 boys
Step-by-step explanation: Lets break it down right
14th from the top with 10 girls in front which means 3 boys are in front and since there are twice as many girls as boys there are 60 girls and 30 boys so 3 boys are ahead which leaves 57 boys below him
Find the value of x.
Answers
Answer:
B x=14
Step-by-step explanation:
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Malik and Tasha each worked three days in one week at the grocery store. Each day, Malik worked 2 fewer hours than Tasha. They worked a total of 18 hours that week. Find the number of hours that Tasha worked each day.
Answers
Answer:
Step-by-step explanation:
Firstly, since they worked 18 hours over 3 days, they worked a total of 6 hours each day. Since Malik worked 2 fewer hours than Tasha, we have that Tasha worked (6+2)/2 = 4 hours each day and Malik worked 2 hours each day.
1) Has zeros at -2 and 4, both being double roots
2) As x→∞, y→−∞
Answers
Not that if x= -2 and x=4 they will look like this in an equation: (x+2) and (x-4)
When (x+2) and (x-4) are set equal to zero and you solve for x, x will equal x= -2 and x=4
If they have double roots, they have a multiplicity of 2 (per root) meaning they will bounce off of the x-axis. Multiplicity can be found by using exponents.
The negative in front flips the function over the x-axis and holds true to the given limit.
Solve for x.
7(x - 3) + 3(4 - x) = -8
x = 25/10
x= -16/19
x= -41/10
O x = 1/4
Answers
Answer:
x = 1/4
Step-by-step explanation:
Calculations:
[tex]7(x-3)+3(4-x)=-8[/tex]
[tex]7x-21+12-3x=-8[/tex]
[tex]4x-9=-8[/tex]
[tex]4x=1[/tex]
[tex]x=\frac{1}{4}[/tex]
If you cut away a triangle of area 59cm^2,the remaining area will be 85cm^2.Find the length of the side of the square before it was cut.?
Answers
Explanation
let x be the original area
Thus x - 59 = 85
=> x = 85 + 59
x = 144
Since we know the original shape is a square and Area of a square = side x side.
Find side length:
A = a^2
But A = 144
144 = a^2
12 = a
So the side of the square b4 it was cut is 12 cm
Question Progress
112 Mais
Homework Progress
191 19 Mars
Find the term to term rules for the following sequences:
b)
2, 6, 18, 54, 162
Answers
Answer: Please see explanation column for answer
Step-by-step explanation:
According to sequence 2, 6, 18, 54, 162
--we can see that it is a geometric sequence since to go from one term to the next requires us to multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.
ie term 2/ term 1= 6/2 = 3
term 3/ term 2= 18/6= 3
term 4/ term 3= 54/28= 3
term 5 / term 4= 162/54=3
term 6 will therefore be 162 x3 = 486
and term 7 = 486 x 3=1,458 and so on
Recall that nth term of GP is
Tn = ar^n-1
Where a= first term
r= common ratio
n= term
such that to easily find particular term, we plug in the values and calculate
for example the 10th term of the above sequence
Tn = ar^n-1
= 2 X 3 ^(10-1)
2 X 3^9
T10 =39,366
what is 2 dived by 0.04
Answers
Answer:
50
Step-by-step explanation:
The correct answer is 50
What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3
Answers
Working:
Tan(angle)=opposite/adjacent
Tan60 = x/7root3
x=7root3 x Tan60
Enter in calculator
x=21
Find the sum.(62+5−3)+(2−9)
I will mark brainiest!
Answers
Answer:
57
Step-by-step explanation:
(62+5-3)+(2-9)
(67-3)+(-7)
64-7
= 57
I need to get h5h+11−h in it's simplest form.
Answers
Answer:
5h+11
Step-by-step explanation:
You add the like terms so 1h+5h-1h= 5h. Then you just add 11 into the equation
Please plz help angles inside circles. and segments
Answers
Answer:
the first one
Step-by-step explanation:
What is the answer for this?
Answers
Step-by-step explanation:
im learning this too and I dont get it at all but use A app called Math. way
Answer:
3 =x 5 = y
Step-by-step explanation:
Using statistics shown you can infer that -2y + 12 = x
The perimeter of a rectangle is 84cm . It's longest side is 29cm. State the length of the shortest side
Answers
Answer:
13cm
Step-by-step explanation:
29x2=58
84-58=26
26÷2=13
84-58 is 26
26/2 is 13.
Therefore shorter side is 13
Help please. Questions down below
You have to fill in the mathematical sign that would make 24.
Have to use these: ÷ × + -
Answers
Answer:
((36 × 2 ÷ 3) - 12) × 2 = 24
Step-by-step explanation:
(36 × 2 ÷ 3 ÷ 12) - 2 = 0
((36 × 2 ÷ 3) - 12) × 2 = 24
The minute hand of a clock is 10 inches long . What is the linear speed in terms of pi of the tip of the minute hand in inches per minute?
Answers
Answer:
the speed is about 10 inches per minute
Step-by-step explanation:
Or you could say 1/6th Inch per second
Do All slope triangles have a ratio of 1/5?
Answers
Please help!
Mr. Bolden bought g guppies at a pet store for $3.00 each and paid with a $20 bill. Write an algebraic expression to represent how much change he will receive.
Answers
Answer:
C= 20-3g
Step-by-step explanation:
Given data
Mr. Bolden bought g guppies at a pet store for $3.00 each
cost = 3g
We are also given that the money paid is $20
Therefore let the change be c
The expression for his change is
[tex]C= 20-3g[/tex]
x + 7 = 12
i'm lost pls help me
Answers
Answer:
5
Step-by-step explanation:
12 - 7 = 5
x= 5
.....................................
PLZ HELP ILL GIVE 18 POINTS
Answers
Answer:
8 4/7
Step-by-step explanation:
the 4/7 is the fraction
pleeease help will give brainliest
Answers
Answer:
2x,5x
Step-by-step explanation:
thats right I am not smart
Answer:
(x,y) = ( -6,8)
Step-by-step explanation:
waiting for brainlist
A small box of muffins contains 2 blueberries, 1 cinnamon, and 3 chocolate. if a large batch of muffins contains 9 chocolate how many blue muffins are there?
PLS DO NOT JUST ADD THE ANSWER PLS ADD HOW U GOT IT TOO!!!
6th grade math
Answers
Answer: yo we have a problem
Step-by-step explanation:
im in 10th grade and i cant answer this problem 0.0