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.
the difference of two numbers is 72 and their quotient is 10 plz help
Answer:
The numbers would be 80 and 8
Step-by-step explanation:
Hope this helps
Answer:
We have, x - y = 72
and, x = 10y
so, 10y - y = 72
y = 8
so, x= 80
Step-by-step explanation:
430 divided by 2 ____ remainder____
Answer:
215.
Step-by-step explanation:
I dotn think there is any remainder so put 0
Answer:
215 NO REMAINDER
Step-by-step explanation:
1. Find the volume of the shape below:
3 i
5.8 in
12 in
Answer:
208.8 inches is the answer
Based on concepts related to the volume of prisms, the volume of the shape depicted with the dimensions shown in the figure is equal to 208.8 square inches. #SPJ2
How to calculate the volume of a prism-like element
Prisms are tridimensional elements whose volume is equal to the product of area of its base, in square inches, and its height, in inches. The base of the shape is certainly a rectangle, whose area is equal to the product of its width and length, both in inches.
Therefore, the volume of shape is:
V = (12 in) · (5.8 in) · (3 in)
V = 208.8 in³
Based on concepts related to the volume of prisms, the volume of the shape depicted with the dimensions shown in the figure is equal to 208.8 square inches. #SPJ2
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The area of the trapezoid is 14 square feet. Write an equation that you can use to find the value of x.
An equation is
=14.
Answer:
The answer is (2+7)*2
Step-by-step explanation:
as you can see the you have to add the bottom to the top then multiply the answer by the height to what i did was i seen if there was anything that can add to 7 with the number 2 and 5 was so put 5 at the top and multiply 7 times two you get 14
How is (5 , -7) and (-5 , 7) related on a coordinate plane?
Answer:
they are on opposite quadrants and they meet exactly in the origin (0,0)
4 6/7 + 3 5/7 please help me
Answer: The answer is 60/7 or in mixed number form it is 8 4/7...
to make it easier, all you do is make the fractions improper and then add... If they didn't have the same denominator then you would make them have the same denominator. But they already have the same denominator... Or in other words convert the fractions into improper fractions, then find the LCD and combine... 34/7+26/7
34+26/7
60/7
decimal form: 8.571428
mixed number form: 8 4/7
Hope this helps... Stay safe and have a great day/night!! :D
Answer:
about 8.6, or 8.57142857143
Step-by-step explanation:
4 6/7 + 3 5/7
= 28+6/7 + 21+5/7
= 34/7 +26/7
= 60/7
= about 8.6
Larry was 56 inches after his 6th grade year. After his 7th grade year he was 72 inches. What percent change in height happened to Larry? A. 22.22% B. 28.57% C. 77.77% D. 1.28%
Answer:
B. 28.57%Step-by-step explanation:
Change in height:
72 - 56 = 16Percent of change:
16/56*100% = 28.57%Correct choice is B
Given the points P(2, –6) and R(8, 3), what is the component form of Vector P R?
⟨6, -3⟩
⟨10, -3⟩
⟨6, 9⟩
⟨10, 9⟩
Answer:
C
Step-by-step explanation:
The component form of vector PR is ⟨6, 9⟩.
How to determine the component form of vector PRTo find the component form of vector PR, we need to subtract the coordinates of point P from the coordinates of point R.
The x-component of the vector is obtained by subtracting the x-coordinate of point P from the x-coordinate of point R:
x-component = 8 - 2 = 6
The y-component of the vector is obtained by subtracting the y-coordinate of point P from the y-coordinate of point R:
y-component = 3 - (-6) = 3 + 6 = 9
Therefore, the component form of vector PR is ⟨6, 9⟩.
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Three pounds of bananas weigh $1.89. How much is it for 5 lbs of bananas
Answer:
The correct answer is $3.15
Step-by-step explanation:
To find the answer you do $1.89 divided by 3 to find the unit rate,which is 63 cents. Then you do 5 times 63 cents to equal $3.15.
HAVE A GOOD DAY!
PLEASE HELP!! WILL GIVE BRAINLIEST!!!
12 cups= 3 quarts
there ya goo
You need 3 sticks of butter for every 24 cookies. If you have 5 sticks of butter how many cookies is that?
Answer:
5:40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
:)
through: (2, 5), slope = 1/2 *50 POINTS!*
Answer:
y−5=−2(x−2)
Step-by-step explanation:
Point slope form of a line is the standard
i will give many points and brainlest if you find the area of the polygon
Answer:
28
Step-by-step explanation:
You can split the figure up
3*4/2 = 6
3*4/2 = 6
8*2 = 16
6+6+16 = 28
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
please help i will give Brainliest
7.4 = -t/8.5
t = ?
Answer:
-62.9
Step-by-step explanation:
7.4= [tex]\frac{-t}{8.5}[/tex]
8.5 (7.4)=-t
62.9=-t
t=-62.9
Diana is going camping with her family. Their campsite is 7/8 miles away. They walk at a steady speed of 2 1/2 mi/h. How many minutes will it take them to get to the campsite
Answer:
21 minutes
Step-by-step explanation:
Using the formula to calculate the time expressed as;
Speed = Distance/Time
Given:
Distance = 7/8 miles
Speed = 2 1/2 mi/hr
Required
Time in minutes
Substitute the given values into the formula;
Recall that:
S = D/T
T = D/S
Time = 7/8 ÷ 2 1/2
Time = 7/8 ÷ 5/2
Time = 7/8 * 2/5
Time = 7/4 * 1/5
Time = 7/20 hour
Since 1 hour = 60 minutes
7/20 hour = (7/20 * 60)minutes
7/20 hour = 7 * 3
7/20 hour = 21 minutes
Therefore it will take them 21 minutes to get to the campsite
HELP PLEASE 77 POINTS
Answer:
You find it by finding the dimensions of the X up and down, and Y left and right
Step-by-step explanation:
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
Justin makes a necklace for his sister. Twelve beads take up 4 inches of
string. How many beads fit on 1 foot of string? Explain your answer.
1 point
Answer:
36
Step-by-step explanation:
12 inches are in a foot, 12 inches/4 inches=3, 12x4=36
I need help! I don't understand
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.
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!
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
∣
∣
−−−−−−−−−−−−−−−
(2x + 7y) (4x – 8y)
Answer:
= 8x^2 + 12xy − 56y^2
Step by step:
(2x+7y)(4x−8y)
=(2x+7y)(4x+−8y)
=(2x)(4x)+(2x)(−8y)+(7y)(4x)+(7y)(−8y)
=8x^2−16xy+28xy−56y^2
=8x^2+12xy−56y^2
Each player will start with $5.00 in a treasure account. The winner will be the player who collects the most money. Which outcome will change a player's account the least? (HINT! Use absolute value.)
Answer:
Find a decoy (-$1.75)
Step-by-step explanation:
Note: The full and organized question is attached as picture below
Each player had $5.00 then they start game. A player can add money to account depending on his/her game. The minimum change in treasure account is caused by game outcome which has corresponding least numerical value from table. The least numerical value from table is for "Find a decoy" which -$1.75 so this out come will make least change in treasure account.
Answer:
ya what the other man said
Step-by-step explanation:
just yah
x^2y^4/z^3 / x^3z^2/y
Answer: y3/xz
Step by step is provided in the screenshot below
Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.
The line perpendicular to y =
6
5
x + 2 that passes through (6, −2).
The equation of the line that passes through (6, −2) is y = .
Josh plans to spend at most $45 on a gift for his mother, including the $15 he plans to spend on flowers. Which inequality represents x, the range of amounts that Josh can spend on the gift?
Answer:
x ≤ $30
Step-by-step explanation:
Including the $15 for flowers, there is a budget of $45. Josh cannot spend more than $30 on a gift.
x can be less than or equal to $30
The inequality for the $x of gift x≤ 30.
What is inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age?
Olivia's age is unknown to you since the word "equals" is missing. However, because you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12.
Given:
Total amount spend on gift = $45
price of flower= $15
So, the amount of gift only is
=45- 15
=$30
Thus, Josh can only spend $30 for the gift not more than that.
Hence, the inequality for the $x of gift
x≤ 30
Learn more about inequality here:
https://brainly.com/question/28823603
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Joey and Krysta are at the Richmond Fair and are waiting in line to ride on the Ferris Wheel. They are trying to figure how long they will need to wait before they get to the front of the line. The more people in the line ahead of them, the longer they will need to wait.
p = the number of people in line ahead of Joey and Krysta
w = the length of time Joey and Krysta will need to wait
Which variable is the independent variable?
Answer:
P, the number of people in line ahead of Joey and Krysta is the independent variable.
Step-by-step explanation: