Answer:
there were 20 two point questions =
there were 30 five point questions
Step-by-step explanation:
Brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five-point questions. How many of each type of question were on the exam?
x + y = 50 eqn 1
2x + 5y = 160 eqn 2
this can be solved using simultaneous equation
multiply eqn 1 by 2
2x + 2y = 100 eqn 3
subtract eqn 3 from 2
3y = 60
y = 20
Substitute for y in eqn 1
x + 30 = 50
x = 20
FIND THE SURFACE AREA OF THE FIGURE BELOW, PLEASE HELP AND SHOW WORK
Answer:
247.21
Step-by-step explanation:
equation for height : c= a2 + b2
4.82 + 9.32
≈10.46566
equation for surface area: A=5 /4tan(54°)a2+5a /2h2+(atan(54°) /2)2
5 /4·tan(54°)·72+5·7 /2·7.972+(7·tan(54°) /2)2
≈247.21018
round to nearest hundredth: 247.21
x^2 + 3x^2 + x + 3x + 1 by x+1
Answer:
4x remainder 1.
Step-by-step explanation:
We add up to get 4x^2+4x+1
We just factor from there.
What is the correct graph for the following algebraic inequality? x>-2
Graph A
Graph B
Graph C
Graph D
Answer:
Graph D
Step-by-step explanation:
< or > require a circle that is NOT shaded in so we can eliminate Graph B and Graph C
The arrow is >, and it is pointing this way--> so you shade in towards the right. Hope this helps!
Please help and show work if you can
Answer:
x = 3
Step-by-step explanation:
According to Euclidian theorem (x+9)^2 = 18*8
(x+9)^2 = 144 find the root for both sides
x + 9 = 12 subtract 9 from both sides
x = 3
please help
and if you cant see its going from 1-9
Answer:
F
Step-by-step explanation:
for example point A is (3:6)
if we multiply the coordinates by 2/3 we have:
A1 (2; 4) that are the coordinate of the new point
A, E and B lie on a straight line segment. C, D and B lie on a straight line segment. BD = 3m, CD = 12m and AB = 19m. Work out the length of BE. Give your answer as a decimal. please help
Answer:
3.8m
Step-by-step explanation:
If A, E and B lie on a straight line segment. C, D and B lie on a straight line segment, based on their similarities,
AB/CB = BE/BD
Given
BD = 3m,
CD = 12m
AB = 19m.
CB = CD+BD
CB = 12+3 = 15m
On substituting
19/15 = BE/3
Cross multiply
15BE = 19×3
15BE = 57
BE = 57/15
BE = 3.8m
Hence the length of BE is 3.8m
The sides of a parallelogram are 40 feet and 70 feet long, and the smaller angle has a measure of 36º.
Find the length of the longer diagonal to the nearest whole number.
A.44ft
B.105 ft
C.69 ft
D.64 ft
Step-by-step explanation:
the longer diagonal is =
√(40²+70²+2(40)(70)cos 36°)
= √(1600+4900+5600(0.8))
= √ 6500 + 4530
= √11,030
= 105 ft
Kai has been saving up money to buy a new backpack that is originally priced at $88.95. The store is having a 40% off end-of-season sale but Kai has only $55 saved up so far. Do you think he can buy the backpack? (Don't worry about sales tax in this problem.)
yes or no?
Answer:
53.47
Step-by-step explanation:
yes, he can buy the backpack
88.95 x 0.40 = $35.48
88.95 minus 35.48 = 53.47
Answer:
Step-by-step explanation:
88.95 X (100%-40% = 60%) = 53.37
Since $55 > 53.37, Kai has enough money to buy a new backpack.
A clock runs 5 minutes slow every hour. The clock was set
at the proper time 12 hours ago. The correct time now is 3 p.m.
How many minutes will elapse before the clock indicates 3 p.m.?
5. Subtract using the zero principle.
b) (2y- * - 3y) - (-2x + y)
Answer:
4x + 2y
Step-by-step explanation:
( 2x - - 3y ) - ( - 2x + y )
→ Simplify
2x + 3y + 2x - y
→ Collect x and y terms
4x + 2y
Solve. You may use a calculator and round your answer to the nearest tenth of a unit if necessary.
A ball is dropped from a height of 900 centimeters. the table shows the height of each bounce. The
heights form a geometric sequence. How high does the ball bounce on the 5th bounce?
bounce 1 is 800 cm
bounce 2 is 560 cm
bounce 3 is 392 cm
192 cm
Step-by-step explanation:
Each bounce is 70% of the previous bounce so the fourth bounce is going to be 274 cm and the fifth is going to be 192 cm.
the height and base of parallelogeam is 20cm and 15.3cm respectively . find the area of a paralellogram
Answer:
Step-by-step explanation:
A = bh
A = 20 * 15.3 = 306 cm^2
in a school the ratio of the number of pupils to the school of teachers is 20 ;1 if the number of pupils is 840 how many teachers are there?
Answer:
42
Step-by-step explanation:
[840/20]*1=42
Answer:
the correct answer is that the will be 42 teachers
Step-by-step explanation:
1/20x840
=42
Can I get some help with this please.
The table models how the population of a city has changed over time. What does the y-intercept represent?
Answer:
In the table model, the y-intercept represents the population of the city in 1985, which is 122,000.
Answer:
The y intercept represents the population of the city in the year of 1985.
Step-by-step explanation:
Since it is 0 years after 1985, it means that the population was 122,000 in 1985.
The initial velocity of a rocket shot straight up is 30 feet/second. The height of the rocket after t seconds is represented by the equation d = 30 t − 5 t 2 . Find the maximum height of the rocket and the amount of time in the air.
AnswerIts null
Step-by-step explanation:
bank
K=1/2mv square root of 2
rearrange for m:
Answer: V = The square root of (2K/M)
We are starting with the formula: K = 0.5MV^2
Our first steps to isolate V would be to multiply by 2 and divide by M on both sides of the equation.
2K/M = V^2
Now, we just have to take the square root of both sides of the equation
The equation rearranged for m is [tex]m = (2K) / v^2[/tex].
This equation allows us to calculate the mass (m) when the kinetic energy (K) and the velocity (v) are known.
To rearrange the equation [tex]K = (1/2)mv^2[/tex] for m, we can follow these steps:
Step 1: Multiply both sides of the equation by 2 to remove the fraction:
[tex]2K = mv^2[/tex]
Step 2: Divide both sides of the equation by[tex]v^2[/tex] to isolate m:
[tex](2K) / v^2 = m[/tex]
Therefore, the equation rearranged for m is [tex]m = (2K) / v^2[/tex].
This equation allows us to calculate the mass (m) when the kinetic energy (K) and the velocity (v) are known.
Learn more about rearranging equations here:
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Find the number of possible choices for 4 sandwiches, 3 drinks, and 2 desserts
Answer:
sandwiches n[S]=4
drinksn[D]=3
desserts[d]=2
total n[T]=9
number of possible choices for:
4 sandwiches=n[S]/n[T]=4/9
For
3 drinks=n[D]/n[T]=3/9=1/3
and
For 2 desserts=n[d]/n[T]=2/9
HELP PLZZ HURRY IMA GET A ZERO
Answer:
m∠G= 180° - ( 59+77 )°
Step-by-step explanation:
Which number added to 38 will result in a sum of 0?
A- |38|
B- |-38|
C- 1/38
D- -38
Answer:
Step-by-step explanation:
D: -38, when added to 38, will result in a sum of 0.
HELP ASAP PLEASE AND THANK YOU
Answer:
j+278=296
Step-by-step explanation:
that is the equation because the total is the sum of j and 278 is equal to 296
Lillyana deposits $1000 in a savings account at a 2.6% interest rate. If she does not touch the money (makes no
deposits or withdrawls) for 5 years, how much money will be in the account in 5 years?
Answer:
1130
Step-by-step explanation: hope this helps <3
The Bell's dinner bill is $53.00. They leave a 20% tlp. How much money does the
waitress receive as a tip?
Answer:
I believe it is $63.60..........
A nurse has an annual income of $70,250. The nurse
will have to pay 13% income tax. What is the amount of
income tax in dollars and cents that the nurse has to
pay?
Answer:
$9132.5
Step-by-step explanation:
0.13 = 13%
0.13 times 70,250
$ 9132.5
Your business has two branch stores. The recent physical inventory reports that the merchandise value for each store is: Store A $750,000, and Store B $580,000. The merchandise book value for each store is: Store A $757,000, and Store B $600,000. What is the dollar amount of shrinkage for each store?
Answer: Store A: 7,000 Store B: 20,000
Step-by-step explanation:
The amount of shrinkage for store A is $7000 and for store B is $20000.
What is loss?"If the selling price of an item is less than the cost price, then the difference between the cost price and the selling price of an item is called the loss".
For the given situation,
The merchandise book value for store A = $757,000
The merchandise book value for store B = $600,000
Based on physical inventory reports,
The merchandise value for store A = $750,000
The merchandise value for store B = $580,000.
The amount of shrinkage determines the loss and it is calculated by taking the difference between the values.
Store A = [tex]757000-750000[/tex]
⇒ [tex]7000[/tex]
Sore B = [tex]600,000-580000[/tex]
⇒ [tex]20000[/tex]
Hence we can conclude that the amount of shrinkage for store A is $7000 and for store B is $20000.
Learn know more about a loss here
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SOMEONE PLEASE HELP ME
1. Simplify the expression
(b^6)^9
2. Rewrite as a base to a power, if possible
7^9/7^2
Answer:
1) b⁵⁴
2) 7⁷
Step-by-step explanation:
When you have an exponent raised to an exponent, like in #1, you simply multiply the exponents.
When you are dividing two numbers with exponents and they have the same base, like in #2, you subtract the denominator exponent from the numerator exponent.
In 2006, 67.7 million people subscribed to cable television. In 2013, that number had decreased to 56.7 million. Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.
Answer:
Because of low subscribers the amount will be decreased if you do not make video . So in 2007 the subscribers will be incresed . 67.8 million people took risk of this think. hopw it helps.
Step-by-step explanation:
A bag contains 36 marbles. 10 marbles are green, 6 marbles are blue, 18 marbles are yellow, and 2 marbles are purple.
What is the probability of selecting a green marble? Round all answers to the nearest hundredth.
Answer:
10/72 or 0.14
Step-by-step explanation:
There are 72 marbles in total and 10 of them are green. So, it is 10/72 or 1.388 rounded to the nearest hundredth is 0.14.
3 2/5 - 3/4
subtract
Answer:
53/20
Step-by-step explanation:
First convert 3 2/5 into 17/5
Now we need a like denominator for both fractions
20 works
lets convert 17/5 into 68/20
and 3/4 can turn into 15/20
68/20 - 15/20
53/20
Answer: 53/20 or 2 13/20
Step-by-step explanation:
hope this helps
Someone help me on here I’m confused
Answer:
7 2/15
Step-by-step explanation:
Second option
Answer:
7 2/15.
Step-by-step explanation:
First in order to subtract you have to find the LCM/ least common multiple which is 15 as 5x3 = 15 and 3×5= 15, and so then with the new denominator being 15 you have to solve for the numerator, and so 3 goes into 15 5 times and 2x5= 10 and 5 goes into 15 3 times, so 4x3 = 12. So then you are left with 16 12/15 - 9 10/15 which will then be 7 2/15.
What is the average velocity of the acrobat between 0.25 seconds and 0.5 seconds?
Divide the difference of the heights by the difference of the times.