Roberto uses 150 roses, 120 lilies, and 45 hydrangeas to make bouquets. Each bouquet has the same number of roses, the same number of lilies, and the same number of hydrangeas. i What is the maximum possible number of bouquets he can make? ii How many roses, lilies, and hydrangeas are in each bouquet?
Answer: (i) Maximum possible number of bouquets he can make = 15
(ii) There are 10 roses, 8 lilies and 3 hydrangeas in each bouquet.
Step-by-step explanation:
Given: Roberto uses 150 roses, 120 lilies, and 45 hydrangeas to make bouquets.
(i) Maximum possible number of bouquets he can make = HCF(150, 120 , 45)
Since , 150 = 2 x 3 x 5 x 5 , 120= 2 x 2 x 2 x 3 x 5 , 45 = 3 x 3 x 5
HCF(150, 120 , 45) = 3 x 5 = 15
Now, Maximum possible number of bouquets he can make = 15
(ii) Number of roses in each bouquet = [tex]\dfrac{150}{15}=10[/tex]
Number of lilies in each bouquet = [tex]\dfrac{120}{15}=8[/tex]
Number of hydrangeas in each bouquet =[tex]\dfrac{45}{15}=3[/tex]
Hence, there are 10 roses, 8 lilies and 3 hydrangeas in each bouquet.
Which is equivalent to -9.4c + 6 + c – 5.9?
A. -8.4c – 0.1
B. -8.4c + 0.1
C. 10.4c + 0.1
D. -10.4c + 0.1
Answer:
B
Step-by-step explanation:
reorganize to combine like terms
-9.4c+c or c-9.4c (they are the same) = -8.4c
6-5.9=0.1
-8.4c+0.1
Answer:
c
Step-by-step explanation:
brcause i have did it
An isotope of iodine has a mass of 134 amu. How many neutrons does the
isotope contain?
A. 67
B.153
C. 81
D. 74
Answer:
The correct option is C: the isotope of iodine contains 81 neutrons.
Step-by-step explanation:
The mass (A) of the iodine isotope is given by:
[tex]A = Z + N[/tex]
Where:
Z: is the number of protons
N: is the number of neutrons
For iodine Z= 53, so if A = 134 the number of neutrons is:
[tex] N = A - Z = 134 - 53 = 81 [/tex]
Therefore, the correct option is C. The isotope of iodine contains 81 neutrons.
I hope it helps you!
Derek needs 2 gallons water to mix a sport drink , but he only has a 1 cup measuring cup.
Answer:
He can fill up his fill up his measuring cup 8 times that is pretty simple
Step-by-step example
4 cups is in one gallon
The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?
Answer:
150
Step-by-step explanation:
To figure out how far it turns in one hour divide 360 and 24= 15, now to find out how much it turns in 10 hours multiply 10x15=150
Plzz what the answer I’m stuck
Answer:
the answer to your question is 576 square feet
Step-by-step explanation:
Step 1: 96 ÷ 4 = 24
Step 2: 24×24 =576
Please help me I don’t understand it at all
Answer:
The second choice; KJL and HGJ
Step-by-step explanation:
These 2 angles are corresponding angles
State the slope and the y-intercept for the graph of the equation. -x+y=4
Answer:
Slope: 1
Y-intercept: (0,4)
Step-by-step explanation: I hope that helps!
Select the correct answer.
Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?
A.
point U
B.
point V
C.
point W
D.
point X
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!!
=======================================================
Explanation:
Look through the table to see when f(x) = g(x)
This happens when both are equal to 1, which is in the fourth row, or when x = -1.
In other words,
f(-1) = 1g(-1) = 1So f(-1) = g(-1)
We can then say the solution to f(x) = g(x) is x = -1.
Solve the following word problems using a system of equations. The sum of two numbers is 36. One number is two more than the other. Find the numbers.
Answer:
24,12
Step-by-step explanation:
suppose,
x+y=36
x=2y
2y+y=36
y=12
x=24
_____ compare one quantity to 100.
A. Factors
B. Variables
C. Percents
D. Interest rates
Answer:
c
Step-by-step explanation:
A clothing store used the sign shown below to advertise a discount on shirts,
DISCOUNT
Buy Two Shirts
Get 50% Off Third Shirt
Celia wants to buy three shirts, which were originally priced $56 each. The store will
discount the price of the third shirt and then apply a 7% tax to the total cost of all
three shirts. Including the tax, what will be the mean cost of each shirt? (Round your
answer to the nearest cent).
Including the tax, the mean cost of each shirt is $
Answer:
$49.93Step-by-step explanation:
Original cost = $56
Cost of 3 shirts:
3*$56 = $168Cost of 3 shirts with discount:
168 - 1/2*56 = 168 - 28 = $140Add tax:
$140*1.07 = $149.8Mean cost of each shirt:
$149.8/3 = $49.93Find DE
13x-37
2x+13
Answer:
DE = 27
Step-by-step explanation:
From the picture attached,
Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.
By the mid-segment theorem,
A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.
DC = [tex]\frac{1}{2}\text{AB}[/tex]
(2x + 13) = [tex]\frac{1}{2}(13x-37)[/tex]
2(2x + 13) = (13x - 37)
4x + 26 = 13x - 37
13x - 4x = 26 + 37
9x = 63
x = 7
DE = 2x + 13
= 2(7) + 13
= 14 + 13
= 27
Shane and Gemma share 35 sweetss in the ratio 1 : 4 Gemma eats 10 of her sweets and then gives Shane 1/2 of the sweets she has left. H ow many sweets does Shane have now?
Answer:
14 sweets
Step-by-step explanation:
5x+35
x=7
7*4=28
(28-10)/2=7
7+7=14
If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.
Answer:
Step-by-step explanation:
1
. Start by making a "let statement."
Let
x
represent the weight of the package.
2
. Create an algebraic expression.
5
7
x
=
40.5
i
pounds
3
. Isolate for
x
by dividing both sides by
5
7
.
5
7
x
÷
5
7
=
40.5
i
pounds
÷
5
7
4
. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.
5
7
x
⋅
7
5
=
40.5
i
pounds
⋅
7
5
5
. Solve for
x
.
5
⋅
7
7
⋅
5
x
=
40.5
⋅
7
5
i
pounds
x
=
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
56.7
i
pounds
a
a
∣
∣
−−−−−−−−−−−−−−−
Find the coordinates of the image of the point (3, 4) after it has been rotated by
180 degrees
Answer:
(-3,-4)
Step-by-step explanation:
Flip the coordinate across the graph since it is 180 degrees. (x,y) becomes
(-x,-y)
Jerry eats 3 pickles in 2 minutes. How many pickles will he eat in 10 minutes?
Terrance makes 8 free-throws out of 40. What percent of the free-throws did Terrance make?
Lamont picks 12 boogers in 5 minutes. If he picks his nose for 20 minutes, how many boogers will he get?
Reevis answers 18 math questions correct and scored a 75%. How many total questions are on the quiz?
DO
Aj fights 16 clowns in the streets in 12 minutes. How many will he have fought after 18 minutes?
Answer:
Jerry will eat 15 pickles in 10 minTerrance made 20% of his free throwsLamont will get 48 boogers in 20 minutesthere are 24 questions on the quizAn will have fought 24 clowns after 18 minutes Hope this helps youMark my answer as brainalist pleaseIn a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34 seconds and yellow light glows after every 56 seconds. Find the least time in minutes after which they all glow together.
Answer:
238 minutes
Step-by-step explanation:
We are told:
In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34 seconds and yellow light glows after every 56 seconds.
We solve this question by using LCM Method
We find the Least Common Multiple of 12, 30, 36 and 56
= 14,280 seconds.
Hence, the least time in seconds after which they glow together is 14,280 seconds.
To find the least time in minutes after which they all glow together.
We convert from seconds to minutes
60 seconds = 1 minute
14280 seconds = x
Cross Multiply
60 × x = 14280 × 1
x = 14280/60
x = 238 minutes
The least time in minutes after which they all glow together.
238 minutes
Answer:
238 minutes
Step-by-step explanation:
LCM OF 12,30,34,56
= 14280
THEN, 14280 seconds convert to minutes
= 238 minutes
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
I have no clue how to answer this?
is this proportional?
I
If it is-
Explain why, give an ordered pair that would represent the unit rate, and what it means
If it is not-
Tell me why :(
If you decide to help, Thank you you will get , 20 points for helping :D if u do not know what the answer is please dont waste my time by commenting unnecessary things :) i really have to study for a test thats tommrow and i have to finish this first!
Answer:
yes it is because they all = to 3 when I divide them so they are proportinal
Step-by-step explanation:
what is 29503.488rounded two decimal places
Answer:29503.49
Step-by-step explanation:
Answer:
29503.49
Step-by-step explanation:
since the number in the thousandths place is greater than four, you round the number in the hundredths place up to the number that would come after that. In this case, 8 rounds up to 9
Cookies are sold in the lunchroom for 1.50. Ana wants to buy cookies for a group of her friends. If she has 20 dollars,which inequality can be solved to show the number of cookies she can buy?
find the surface area of this cylinder using pie.
What factor would you need to multiply(3x – 1) by to get922 - 12
ОА 3
B.
2
3x + 1
0
32 - 1
Answer:
32 - 1
Step-by-step explanation:
Write and solve an equation to find the number:
The perimeter of a rectangle patio is 64 feet. The length is 10 feet longer than the width.
What is the width of the patio (no units needed)
Answer:
11=w
Step-by-step explanation:
l = 10+ w
w = w
64= 2(10+w) + 2(w)
64= 20+2w +2w
64=20+4w
44=4w
11=w
Mrs. Garcia borrowed some money at the rate of 4% per annum for the first year, at the rate of 6% pe r annum for the next 2 years, and at the rate of 7.5% per annum for the period beyond 3 years. If he pays a total interest of ₱ 15 750 at the end of 5 years, how much money did he borrow?
Answer: ₱40,909.1
Step-by-step explanation:
Given data:
Rate for first year = 4%
Rate for next two years = 6%
Rate for the next 3 years = 7.5%
Interest paid back after 5years = ₱ 15,750
Solution:
How much did she borrow.
= let the sum borrowed be P
= P * 4 / 100
= 4P/100
= 1P/25.
For the next two years
= P* 6 * 2/100
= 12P/100
= 3P/25
For the next 3years
= P* 7.5*3/100
= 22.5P/100
= 9P/40.
1P/25 + 3P/25 + 9P/40 = 15750
77P/200 = 15750
P = 15750 * 200 / 77
P = 315,0000/77
P = ₱40,909.1
The amount borrowed is ₱40,909.1
PLZ HELP!!!!
Write a function rule for the area of a rectangle whose length is 6 ft more than its width. What is the area of the rectangle when its width is 7 ft? Write a function for the area A of the rectangle using the independent variable-width W.
A line contains two distinct points, C and D. Select each correct statement,
Points C and D determine one unique line,
There are infinitely many points between points C and D.
The distance from C to D is equal to the distance from D to C.
O Any line segment that contains point C must also contain point D.
Answer:
We have a line that passes through points C and D.
a) Points C and D determine one unique line
This is true, there is only one line that passes through a given pair of points, then we can call this line as "Line CD".
b) There are infinitely many points between points C and D.
This is also true, if we define the points with real numbers in R^2, we will have a dense set, which means that between C and D we can find infinite points.
c) The distance from C to D is equal to the distance from D to C.
Also true, the distance between two points C = (cx, cy) and D = (dx, dy) is defined as:
D = √( (cx - dx)^2 + (cy - dy)^2)
And because we have squares, this will be exactly the same as:
D = √( (dx - cx)^2 + (dy - cy)^2)
Then the distance from C to D, is exactly the same as the distanco from D to C.
d) Any line segment that contains point C must also contain point D.
This is false, we can define infinite segments where the endpoint is C, and does not pass through point D (some examples are given in the image below) So this is the only false option.