Answer:
6) C. amount left in her money
7) C. Php1 500, Php403 and 3 cans of paints
8) A. Php291
9) B. Php1 170
10) D. Php840
Step-by-step explanation:
Alona bought 3 cans of paint for Php403 p er can. She gave the salesclerk Php1 500. How much change did she get?
6.) What is asked in the problem?
Aloha was asked of her change. This means the amount that is left after buying the 3 cans of paint. Hence, option C is correct.
C. amount left in her money
7. )What are the given facts?
The given facts in the question are
The 3 cans of paint that cost Php 403 and the amount she paid the clerk which is Php 1500
Hence, Option C. Is correct.
C. Php1 500, Php403 and 3 cans of paints
8. )How much change did she get?
The amount for change she got is calculated as.
Php 1 500 - 3(Php 403)
= Php 1 500 - Php 1 209
= Php 291
The amount of change she got is Php 291
Option A. Php291 is correct
9.) Lilia has six Php100 bills, seven Php50 bills and eleven Php20 bills. How much does she have?
The question above can be interpreted as:.
Six Php100 bills
= 6 (Php100)
= Php 600
Seven Php50 bills
7 (Php50)
= Php 350
Eleven Php20 bills
11 (Php20)
= Php 220
The amount she she has is calculated as:
Php 600 + Php 350 + Php 220
= Php 1 170
Hence, Option B. Php1 170 is correct
10.) Mang Jose is a tricycle driver. He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip. How much does he earn for 21 trips?
We are told that:
He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip.
Hence, the cost for each trip is
Php 10 × 4 passengers
= Php 40
Hence:
1 trip = Php 40
21 trips = x
Cross Multiply
x = 21 trips × Php 40
x = Php 840
Option D. Php840 is correct
-8 x f(0) +4 x g(-8)=
A pickup truck can carry a maximum
weight of 1000 pounds. A company
uses one of these trucks to deliver 125-
pound bags of sand. The total weight
is a function of the number of bags of
sand on the truck. What is the
greatest value in the domain for this
situation?
Answer:
125x=1000
=8 bags of sand
Step-by-step explanation:
A 5-m ladder is resting against a wall. The
base of the ladder is 2 m along the ground
from the base of the wall. What angle does
the base of the ladder make with the ground?
Express your answer to the nearest tenth of a
degree.
192/38 with remanders
Answer:
5 Remainder 2
Answer:
The answer is 5 remainder 2
Step-by-step explanation:
can anyone help me??
Answer:
angle j = 98 degrees
angle c = 78 degrees
JK = 16
AD = 32
x=8
y=11
Step-by-step explanation:
1
Select the correct answer.
Which expression is equivalent to sec2xcot?x?
O A Sin?x
O B. cScZx
OC. (1)/(cos^2x)
OD. (1)/(tan^2x)
Answer:
The equivalent expression is cosec2x
option B
Step-by-step explanation:
The correct question is ;
which expression is equivalent to sec2xcot2x?
Solution
Mathematically;
sec2x = 1/cos2x
cot2x = 1/tan2x
so we have
1/cos2x * 1/tan2x
recall that the product of tan and cos is sin
from the formula;
tan = sin/cos
so we have our final answer as;
1/sin2x
Kindly recall that ;
sin = 1/cosec
so therefore;
1/sin2x = csc2x
Trent saved up $500 for summer vacation. If he spends $25 a week for eight weeks, how much money does he have left? Explain? (Can somebody help plz- )
Answer:300
Step-by-step explanation:
25*8 =200
500-200=300
Answer:
$300
Step-by-step explanation:
25 a week for 8 weeks is a total of 25*8 or 200 so he spent $200
500 - 200 is 300 so he has $300 left
Ethan puts $50 on his school lunch card. He buys the same $5 lunch every day. Which equation shows the balance, b, on his card in terms of the number, m, of meals he has
purchased?
Answer:
b = 50 - 5m
Step-by-step explanation:
i think this is correct but i didnt put much thought into it
Please help me i dont know how to do this!!
Answer:
-1/2 is m and 3 is b
Step-by-step explanation:
-1/2 is the slope and 3 is the y-intercept,
Answer:
Step-by-step explanation:
The slope m is -1/2
The y-int b is 3
Since the slope is negative the graph should start from the top left and should go down all the way down to the bottom right. The line should also pass the point (0,3) since 3 is the y-int
Use polynomial identities to factor 64 + 27a^3
Answer:
(3a+4)(9a^2-12a+16)
Step-by-step explanation:
It's a perfect square :)
The factors of the given polynomial are (4+3a)(9a²-12a+16)
What is polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations.
Given that, a polynomial, 64+27a³
Using identity : a³+b³ = (a+b)(a²-ab+b²)
We get,
= (4+3b)(4²-4x3a+(3a)²)
= (4+3a)(16-12a+9a²)
Hence, the factors of the given polynomial are (4+3a)(9a²-12a+16)
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Pls help soon!
Find the distance between the points (-4, -5) and (3, -1).
Answer:
[tex]\sqrt{65}[/tex]
Step-by-step explanation:
Please see work attached.
hit the heart button :)
Answer: [tex]\sqrt{65}[/tex]
Step-by-step explanation:
distance formula is [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2}}[/tex]
take the 2points in the given (-4,-5) as ([tex](x_{1},y_{1} )[/tex]) and (3,-1) as [tex](x_{2},y_{2})[/tex]
and just substitute to get [tex]\sqrt{65}[/tex]
One pipe can empty a tank 2.5 times faster than another pipe. Starting with
a full tank, if both pipes are turned on, it takes 7.5 hours to empty the tank.
How long does it take the faster pipe working alone to empty a full tank?
Answer:
pipe will empty the tank in 10.5 hours, working alone.
Step-by-step explanation:
Let x be the rate of work of the slower pipe (measured in the tank volume per hour).
Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.
The combined rate of the two pipes is then x + 2.5x = 3.5x.
We are given
7.5*3.5*x = 1; hence x = 1%2F%287.5%2A3.5%29.
Then 2.5x = 2.5%2F%287.5%2A3.5%29 = 1%2F%283%2A3.5%29 = 1%2F10.5.
It means that the faster pipe will empty the tank in 10.5 hours, working alone.
The faster pipe will empty the tank in 10.5 hours, working alone.
What is Volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Let x be the rate of work of the slower pipe (measured in the tank volume per hour).
Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.
The combined rate of the two pipes is then x + 2.5x = 3.5x.
We are given
7.5×3.5×x = 1
7.5×3.5 x=1
Divide both sides by 7.5×3.5
x=1/ 7.5×3.5
2.5x=2.5/ 7.5×3.5
x=1/10.5
It means that the faster pipe will empty the tank in 10.5 hours, working alone.
Hence, the faster pipe will empty the tank in 10.5 hours, working alone.
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On mercury, the distance d (in feet) that an object falls in time t(in seconds) can be modeled by the function f(t)=6t^2. how long would it take an object to fall 54 feet on Mercury. ( plz show the work on how u got the answer)
Answer: t=3.75
Step-by-step explanation:45=6t×2
6t=22.5
t=3.75
The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t².
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
Given the function,
f(t) = 6t² where t is time in seconds while f(t) is the distance in feet.
At f(t) = 54 feet
6t² = 54
t² = 54/6 = 9
t = 3 seconds
Hence "The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t²".
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What is the base of the expression 11^12?
3
11
12
21
Answer:
11
Step-by-step explanation:
11^12 is the power
12 is the exponent
So 11 is the base
Answer:
B 11
Step-by-step explanation:
the base means the base number not the exponent, so 11
( THIS COULD BE A QUICK ONE ! )
Amy solved the inequality and was asked to express her answer in set notation. Determine if she
made a mistake, correct the mistake if she made one and create the correct expression in set notation.
-X-7>-6
X> 1
(1, ∞ )
Step-by-step explanation:
-X - 7 > -6
-7 > X - 6
X < -1
Hence the answer in set notation is (-∞, -1).
Answer:
x<-1
x€(-∞,-1)
Step-by-step explanation:
Yes she made mistake
Here's the correction
20 POINTS and BRAINLIEST
Solve the simultaneous equation!
Answer:
x=3 y=-1
Step-by-step explanation:
Answer:
X=3 and
Y=-1
and good luck for your test
A bird traveled a horizontal distance of 300ft over a distance that rose 150ft what is the angle of elevation that the bird made with the ground . Round to the nearest tenth
Answer:
26.56 degrees
Step-by-step explanation:
The set up will give a right angles triangle
Given
The Horizontal distance = Adjacent side = 300ft
The height = Opposite side = 150ft
Using the SOH CAH TOA identity;
tan theta = opposite/adjacent
tan theta = 150/300
tan theta = 1/2
theta = arctan 1/2
theta = 26.56 degrees
Hence the angle of elevation is 26.56 degrees
The two cones below are similar. What is the height of the larger cone?
Answer: B 35/4
Step-by-step explanation:
Lortetta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of the driving with her dad. Her average speed while driving 55 mph and her dad's average speed while driving is 65 mph. The plan is for Loretta to drive for the first 4 hours of the trip and her dad to drive for the remainder of the trip. Determine th enumber of horus it will take her family to reach their desination.
Answer: 10 hours
Step-by-step explanation:
First and foremost, we should note that:
Speed = Distance / Time
Total destination = 610 miles
Loretta speed = 55 mph
Time to be used by Loretta = 4 hours
Loretta's distance = Speed × Time = 55 × 4 = 220 miles
The distance to be covered by her dad will then be:
= 610 - 220
= 390 miles
Her dad's average speed = 65 mph.
Time taken by her dad will be:
= 390 / 65
= 6 hours
The number of hours to be used by the family will then be:
Time taken by Loretta + Time taken by her dad
= 4 hours + 6 hours
= 10 hours
You earn a new a weekly allowance of five dollars and your neighbor is paying you 7.50 per hour for shoveling the driveway how many hours,x, Master work this week if you wanna earn more than $30
Answer:
Hours of work= 3.5
Step-by-step explanation:
Giving the following information:
Allowance= $5
Hourly pay= $7.5
Desired profit= $31
To calculate the number of hours to work, we need to use the following formula:
Hours of work= shoveling pay / hourly pay
Hours of work= (31 - 5)/7.5
Hours of work= 26/7.5
Hours of work= 3.5
help someone please i’ll give brainliest
Please help 100 points + brainlest
Look at the pictures below and answer them
Answer:
the answers are bolded below!
Step-by-step explanation:
1. y-y1=m(x-x1)
line one- 14-4/6-1 = 10/5 = 2
so.... y-1=2(x-4)
simplified y=2x-7
line two- -2-23/1-6 = -25/5 = -5
so..... y-6=-5(x-23)
simplified y=-5x+121
b- they will intersect 1 time at (18.2,29.5)
2. No, it the system has infinitely many solutions, then the lines would be on top of each other. But since there are only two solutions, then your answer would not be infinitely many solutions.
3. y=-2x+1. This would not intersect with y=-2x+3 because they are parallel. the slopes are the same so they will each travel at the same rate but they have different y intercepts.
4. y=-2x+7 ------> x=-1/2y-7/2
y=-3(-1/2y+7/2)+8 -----> y=5
y=-2x+7 ---> 5=-2x+7 ----> x=1
one solution at (1,5) because f graphed, the lines would only intersect once.
b- x=5
3x-y=5 ---> 3(5)-y=5 ---> y=10
one solution at (5,10) because f graphed, the lines would only intersect once.
c- no solutions because if it were to be graphed, the lines would not intersect at all.
d- no solutions because if it were to be graphed, the lines would not intersect at all.
e- no solutions because if it were to be graphed, the lines would not intersect at all.
i am in algebra two so you can trust my answer. If you need more help lmk in the comments. Happy holidays and stay safe!
A study showed that the ratio of the number of people who get their news from social media to the number of people who get their news from other sources is 3:7. Based on this ratio, how many people in a town of 900 get their news from social media? *
A cylindrical tank has a radius of 5.5 ft and an altitude of 16 ft. If a gallon of paint will cover 130ft^2 of surface, how much paint is needed to put two coats of paint on the entire surface of the tank?
Answer:
Approximately 11 gallons of paintStep-by-step explanation:
First we need to calculate the Total surface area of the cylindrical tank as shown;
TSA of the tank = 2πr² + 2πrh
TSA of the tank = 2πr(r+ h) where;
r is the radius of the tank
h is the height
Given
radius = 5.5ft
height = 16ft
Get the surface area;
TSA = 2π(5.5)(5.5+ 16)
TSA = 2π(5.5)(21.5)
TSA = 2π(118.25)
TSA = 2(3.14)(118.25)
TSA = 742.61ft²
If a gallon of paint will cover 130ft^2 of surface, then the total number of paint needed will be;
Total number of paint needed = 742.61/130
Total number of paint needed = 5.7
For one coat we will need 5.7gallons of paint
For two coats we will need 2 * 5.7gallons = 11.4
Hence approximately 11 gallons of paints will be needed for the two coats
Question 2 (1 point) These allow electricity to flow easily through them (think copper and aluminum). (Lessons 5.01-5.03) Electric Currents Resistors Conductors Insulators
Answer:
copper and illuminum
Step-by-step explanation:
i got it right on the test
Yesterday, Jake drove 43 1/2 miles. Jack used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Step-by-step explanation:
43.5 miles per 1.25 gallons
= 34.8 miles per gallon.
What is the surface area of the rectangular prism?
3 in.
12 in.
9 in
A
358 in
B
342 in?
315 in
D
306 in
Answer: the answer is b
Step-by-step explanation:
Answer:
Oh im doing my star 360 test rn too!
Step-by-step explanation:
In 1972, an item cost $0.28. Now the same item costs $1.02. What is the approximate percent increase of the cost of the item?
A.
27%
B.
73%
C.
264%
D.
364%
Answer:
B
Step-by-step explanation:
i did the test
Xbox 360 and lunzzotoon worth
Answer:
Xbox ONE
Step-by-step explanation:
(and Series X)
Solve for b.
-9
____ + B= -1
3
Answer:
b = 6
Step-by-step explanation:
this is because you have to multiply by 3 on both sides then add 9 on both sides. then you get 6
Answer:
.
Step-by-step explanation:
