Given:
Carol has 88cm of string and cuts it in the ratio 5 : 6.
To find:
How much longer is the longest piece compared to the shortest piece.
Solution:
Let the lengths of two pieces of string are 5x and 6x. Then,
[tex]5x+6x=88[/tex]
[tex]11x=88[/tex]
[tex]x=\dfrac{88}{11}[/tex]
[tex]x=8[/tex]
Now, the lengths of pieces are:
[tex]5x=5(8)[/tex]
[tex]5x=40[/tex]
And,
[tex]6x=6(8)[/tex]
[tex]6x=48[/tex]
The difference between the longer piece and shorter piece is:
[tex]48-40=8[/tex]
Therefore, the longer piece is 8 m longer than the shorter piece.
At the mall, Jamie buys a pair of jeans for $34 and then a shirt for $12. The store is having a 25%
off sale. You will then have to pay 8% sales tax. What is the total amount you will pay?
Answer:
$37.26
Explanation:
firstly, we find the total original price: $34 + $12 = $46.
next, we can multiply this by 100% - 25% = 75% to find the discounted price:
$46 × 75%
= $46 ÷ 100 × 75
= $34.50
finally, add on the sales tax which is 100% + 8% = 108%:
$34.50 × 108%
= $34.50 ÷ 100 × 108
= $37.26
i hope this helps! :D
What is the volume of this rectangular prism?
2/3
cm
5 cm
6 cm
Answer:
20cm^3
Step-by-step explanation:
The volume of a rectangular prism is just the 3 values multiplied by each other. So that would be 6x5x2/3 = 20cm^3
I NEED HELP ASAP!!!!!!!! Jason needs to buy a new sweater. The ticket price of the sweater was $89.00. After sales tax was included, the final cost was $94.79. What percent sales tax did Jason pay on his sweater? A.7.25% B.1.09% C.6.50% D.9.67
Answer:
C
Step-by-step explanation:
Find the difference between $94.79 and $89.00 then do (5.79/89)*100 which is 6.50561797753, then round the initial answer so you get 6.50
Have a great day <3
Erwin flips a coin and rolls a standard number cube. Find the probability that the coin will show heads and the
cube will show a multiple of 3.
Write the probability as a fraction in simplest form.
Answer:
1/6
Step-by-step explanation:
P(H and 3 or 6): 1/2 x 2/6 = 2/12 or 1/6
Plz help ASAP I’ll give brainliest!
Answer:
It's 35 months old and weighs 82 kilograms
The data is given in x, y, so the answer will also go in the order x, y.
Hope this helps! :)
PLEASE HURRY. THIS IS FROM A TEST AND I GOT THE QUESTION WRONG.
Answer:
60
Step-by-step explanation:
5*3=15
3*3=9
4*3=12
4*3=12
4*3=12
(12*3)+9+15= 60
Answer:
i think the voulme would be 60 cm
Step-by-step explanation:
im sorry if its wrong
Find the surface area of a square pyramid with side length 6 cm and slant height 6 cm.
Answer: 108 cm
Step-by-step explanation: Formula for square triangle is
SA=
Find the measure of an interior angle of a regular polygon with 6 sides. Round to the nearest tenth if necessary.
#1
Answer:
120
Step-by-step explanation:
180(6-2)/6
in a school of 940 pupils, the number of girls exceeds the number of boys by 150. how many girls are there
Answer:
number of girls=545
Step-by-step explanation:
total no. of students=940
let no. of girls=x+150
let no. of boys=x
x+(x+150)=940
x+x+150=940
2x+150=940
2x=940-150
2x=790
x=790/2
x=395
no. of boys=395
no.of girls=395+150=545
this is my answer.
GEOMETRY!!! Will give brainliest
What is the value of b? b=
Answer:
24
Step-by-step explanation:
Since the triangle is isosceles and the bisector is perpendicular, SV= VU
2b= b+24
b=24
Which graph represents the function y = 4?
Answer:
answer is ABCD
Step-by-step explanation:
I took the quiz
Which is bigger 6.3 with a bar on top or 6.38?
Answer:
6.38
Step-by-step explanation:
because if the other one 6.3 that means 6.30
In the scenario:
“The number of ways to place 12 pictures in identical picture frames.”
Determine if it is a combination or permutation.
Combination
Permutation
Answer:
Combination
Step-by-step explanation:
Answer:
This would be a Permutation.
Which expression is equivalent to 2 1/5 divided by 1/4
please help
Answer:
[tex]\frac{0.2}{20}[/tex]
Step-by-step explanation:
ez
The height of a batted baseball is modeled by the equation h(t) = -16t²+64t+6, where t is measured in seconds and h is measured in feet.
a.) At what time in seconds does the ball attain its maximum height?
b.) What is the maximum height attained by the ball? (Give your answer in feet.)
Answer:
[tex] \frac{dh}{dt} = - 32t + 64 = 0 \\a) \: t = \frac{ - 64}{ - 32} = 2 \\ \\ b = - 16 \times 4 + 64 \times 2 + 6 = - 64 + 2 \times 64 + 6 = 64 + 6 = 70[/tex]
Answer:
a) t = 2 seconds
b) 70 feet
Step-by-step explanation:
First of all, we are going to take the derivative of the function (which is a displacement function) to make find its velocity function.
[tex]h(t) = -16t^{2} +64t+6[/tex]
To find the derivative of the equation, we must multiply the coefficient by the exponent and then minus one from the exponent for each term.
[tex]v(t)=(-16)(2)t^{2-1} +64(1)t^{1-1}+6(0)t^{0-1} \\v(t) = -32t +64[/tex]
Now we can substitute in v=0
This is because the ball is at the top of its parabola path, it is the turning point and the slope is 0. The velocity physically speaking would also be 0 at the very top of its path.
[tex]0=-32t+64[/tex]
Rearrange and we get:
[tex]32t = 64\\t=2[/tex]
Ball attains maximum height at 2 seconds.
To find the maximum height, we now just have to substitute back in the time into the original equation to find the height.
[tex]h(t) = -16t^{2} +64t+6[/tex]
[tex]h(2) = -16(2)^{2} +64(2)+6\\h(2)=-64+128+6\\h(2) = 70[/tex]
The maximum height attained is 70 feet.
Hope this helped!
am i doing this correctly?
Heather drew a scale drawing of a shopping center. The parking lot, which is 60 meters long in real life, is 12 centimeters long in the drawing. What is the scale of the drawing?
Answer:
1 cm = 5 meters
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
60 meters / 12 centimetres
5 meters / 1 centimetres
is 3 greater than -10
Answer:
Yes, it is
Step-by-step explanation:
If you look at a number line, 3 is on the postive side of the number line.
Please help asap!
Find the area of the figure.
area ___ units^2
Answer:
34 Units ^2
Step-by-step explanation:
Michael rolled a number cube that has sides labeled 1 to 6. What is the probability that he rolled a 2 and then a 4?
Answer:
3/4
Step-by-step explanation:
Eighth grade) W.16 Create equations with no solutions or infinitely many solutions Learn with an example v Find the missing number(find blank) so that the equation has no solutions. (blank) X - 5 = 3x + 10
Answer:
i dont know if this is the right but i think its -5
Step-by-step explanation:
Please please please I need help!!!!!
Answer:
.
Step-by-step explanation:
9. Is the rate below a unit rate? Explain.
60 miles
3 gallons
Answer quick plzzz
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 20 miles/1 gallon would be the unit rate so NO 60 miles/3 gallons is not the unit rate
Explanation:
60 / 3 = 20
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
60/3=20
Step-by-step explanation:
hope this helps!
have a good day :)
NEED HELP ASAP
What type of function is this: y=.7X ?
1:Quadratic
2:Exponential growth
3:Exponential Decay
4:linear
Answer:
Linear (4)
Step-by-step explanation:
I assume that by " y=.7X " you actually meant " y = 7x"
If that's the case, this y=7X is a LINEAR function. Its graph is a straight line.
If you meant " y = 0.7x " that is still a LINEAR function whose slope is smaller than that of y = 7x.
Help me pleaseeeee!!!
Answer:
(6, 5) is the answer.
Step-by-step explanation:
The y's intersect at (6, 5)
Please help ASAP!! Thanks
Answer:
I and III
Step-by-step explanation:
I ) AC // BD , So as per basic proportionality theorem
ΔACE ~ ΔBCD
III)AC // BD
∠A ≅ ∠CBD {Corresponding anlges}
The gene that causes brown fur in a rabbit develops a
mutation that results in white fur.
How would this mutation most likely affect a rabbit that lives in a snowy
climate?
Answer:
It would help the rabbit by blending in with the environment and avoiding predators.
Step-by-step explanation:
I got the question right ap3x
Answer:
Step-by-step explanation:
It would help the rabbit by blending in with the environment and avoiding predators.
how do you solve 5% of 58
Answer:
2.9
Step-by-step explanation:
5% of 58
58 × 5 ÷ 100 = 2.9
Step-by-step explanation:
Convert 5% to a fraction first.
[tex]5\% = \frac{5}{100} \\ = \frac{1}{20} [/tex]
5% of 58
=
[tex] \frac{1}{20} \times 58 \\ = \frac{58}{20} \\ = \frac{29}{10} \\ = 2.9[/tex]
A hot air balloon travels 1,470 miles at a constant rate 6 hours. what is the rate of the speed?
Answer:
245 miles per hour
Step-by-step explanation:
1470 divided by 6