Answer:
z=5
Step-by-step explanation:
12.2z+ 19.4 = -2.7z + 93.9
14.9z=74.5
z=5
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.
Approximately 6.5x10^7 people fly commercially in the United States each month. Approximately how many fly commercially each year?
The number of people that travel commercially each year is 7.8 x 10^8.
How many fly commercially each year?The number of people that travel commercially each year is represented in scientific notation. Scientific notation is used to compress larger numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
In order to determine the number of people who flew commercially each year, multiply the number of people who flew each month by 12.
Number of people who fly commercially each year = 6.5x10^7 x 12
= 78 x 10^7
= 7.8 x 10^8
To learn more about scientific notation, please check: https://brainly.com/question/5756316
#SPJ1
a grand piano can weight 1 and half ton how many ounces can a grand piano weigh
Solve
I need it really quickly
Which pair of angles shares ray as a common side?
Answer:
Step-by-step explanation:
adjacent angles share a ray
they also have a common vertex
Mohamad saved $63 during the month of June. Mohamad saved 7 times the amount of Money Laila saved. How much money did Laila save?
Answer:
I believe Laila saved $9.
Step-by-step explanation:
63/7=9
Divide
63/7 = 9
She saved $9
Write a linear equation in slope intercept form of a line with a slope of 12 and the point (0, 10).
y = 12x - 10
y = 12x + 10
y = 10x + 12
x = 10y - 12
what is 890+987x 78-9080=
Answer:
68796
Step-by-step explanation:
Answer:
76986x − 8190
Step-by-step explanation:
8x___=0.24
please help me with this-
Answer:
0.03
Step-by-step explanation:
8x=0.24
x=0.03
Volume
03020020203tagmineyhi
What Is The Difference Between 1+1 And 1x1?
Answer:
1+1=2 and 1x1= 1
Step-by-step explanation:
If you add something you take the first number and add it to the second one. If it is multiplication, you take the first number, and multiply by itself, so it would be 1 times itself (1) and it is kind of like 1+0 which equals 1. It doesn't sound like a lot, but when you get into Algebra and Pre-Algebra, etc. it does come along easier.
Answer:
1+1=2 and 1x1= 1
Step-by-step explanation:
What is an equation of the line that passes through the point (1,-3) and is perpendicular to the line x+3y=21?
Answer:
x + 3y =21 equation 1
let the equation perpendicular to X + 3y = 21 be
3x - y + k = 0 equation 2
since the point ( 1 , -3 ) passes through equation 3x - y +k =0
3× 1 - (-3) + k = 0
or, 3 + 3 + k = 0
or, 6 + k =0
or, k = -6
now,
putting the value of k in equation 2
3x - y + k = 0
or, 3x -y -6=0
Select the correct answer.
What is the exact solution to the system of equations shown on the graph?
OA (-1.4)
oc (-1,63)
OD. (-1,43)
Answer:
[tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]
Step-by-step explanation:
To find the exact solution, find the equation for each line. And solve for x and y.
To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.
✍️Equation 1 for the line that slopes upwards from left to your right:
Slope = [tex] m = \frac{rise}{run} = \frac{2}{1} = 2 [/tex]
b = the point at which the y-axis is intercepted by the line = 7
Substitute m = 2 and b = 7 in y = mx + b
Equation 1 would be:
✔️y = 2x + 7
✍️Equation 2 for the line that slopes downwards from left to your right:
Slope = [tex] m = \frac{rise}{run} = -\frac{3}{1} = -3 [/tex]
b = the point at which the y-axis is intercepted by the line = 1
Substitute m = -3 and b = 1 in y = mx + b
✔️Equation 2 would be:
y = -3x + 1
✍️Solve for x and y:
✔️To solve for x, substitute y = -3x + 1 in equation 1.
y = 2x + 7
-3x + 1 = 2x + 7
Collect like terms
-3x - 2x = 7 - 1
-5x = 6
Divide both sides by -5
[tex] x = \frac{6}{-5} = -1\frac{1}{5} [/tex]
✔️To solve for y, substitute x = -1⅕ in equation 2.
y = -3x + 1
[tex] y = -3\frac{-6}{5} + 1 [/tex]
[tex] y = \frac{18}{5} + 1 [/tex]
[tex] y = \frac{18 + 5}{5} [/tex]
[tex] y = \frac{23}{5} [/tex]
[tex] y = 4\frac{3}{5} [/tex]
✅The exact solution would be: [tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]
Percent equations the question is blank % of 75 = 30
Answer:
40
Step-by-step explanation:
30/75 = .4
Answer:
40%
Step-by-step explanation:
Start by doing 30 ÷ 75 which gives you 0.4
0.4 as a percentage is 40%
Find percentage from decimals by moving the decimal place two times to the right.
5 (3 - x) < -23 + 6
Answer:
x > 32/5
Step-by-step explanation:
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9.
What is the original number?
-4
-30
4
30
Answer:
regular 4 is correct
Step-by-step explanation:
Answer:
C. 4
Step-by-step explanation:
Natalie walked 3\5 mile in 1\2 hour. How fast did she walk, in miles per hour?
Answer:
The answer is 6/5
Step-by-step explanation:
( 3 /5 )( 2 /1 )
(3)(2) /(5)(1)
6 /5
Hope this helps!
PLEASE HELP! Whoever answers correctly will get brainliest
Answer:
The statement at the top says that the triangles are 'similar'. That means that the corresponding angles are equal, and each pair of corresponding sides have the same ratio. From the 4 and the 8, you can see that each side in the small one is 1/2 the length of the corresponding side in the big one. So the missing sides are 1/2 the length of the 7 and the 12.
What does a function and a non-function mean?
Answer:
A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.
Step-by-step explanation:
On a piece of paper, graph y= -2x-3. Then determine which answer
matches the graph you drew.
Jay draws a hen on graph paper using the scale shown below. The hen has a length of 16 units in the drawing. The scale is 2 units (or squares on the graph paper) = 6 cm. What is the height of the actual hen in centimeters?
Answer:
Step-by-step explanation:
the answer is 3 or 8
because if you are looking for 6 then its 3
if you are looking for 16 then its 8
sorry if I did not help much but I hope I did : ))))))))))
a que altura de cada molde quedara el litro de cera liquida?
Answer:
litros. TODO Cm. Calcula el volumen de cada figura compuesta. Redondea al ... Encuentra la altura h del recipiente a la décima más cercana. ... cubierto, haciendo que el nivel del agua suba 2 pulg.
carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?
Answer:
24 pies
Step-by-step explanation:
Let x represent the number of pies and set up an equation:
6x = 3.75x + 54
Solve for x:
6x = 3.75x + 54
2.25x = 54
x = 24
So, Carrie and Joel have to sell 24 pies to break even
2. Next she needs to find her maximum heart rate m by subtracting her age a from 220. Write an
equation she can use.
Answer:
220 - a = m
Step-by-step explanation:
a is her age
The ratio of the measures of the sides of a triangle is
1:15:3. If the perimeter of the triangle is 152 yards,
find the length of the longest side.
Answer:
The length is 120 yards
Step-by-step explanation:
Here, we want to find the length of the longest side
The longest side ratio is 15
Add up all the ratio,
We have 1 + 15 + 3 = 19
So the length will be;
15/19 * 152
= 120 yards
You work in a hospital, and instructions for an instrument state that it should be cleaned in the sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many minutes do you set for the sterilizer?
Answer:
120 mins
Step-by-step explanation:
number of minutes in an hour = 60
number of hours = 2
total number of minutes = 60 x 2 = 120
Answer:
120 minutes
Step-by-step explanation:
an hour is 60 minutes and if you put them in for 2 hours you multiply 2×60 and your answer is 120
let V (T) represent the value of a bank account, and thousands of dollars, T years after the account is open at the bank. Determine whether each statement below is true. Select true or false for each statement.
Answer:
True false false
Step-by-step explanation:
It is found that the Statement 1 is true. The Statement 2 is false. The Statement 3 is true.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given that V (T) represent the value of a bank account, and thousands of dollars, T years after the account is open at the bank.
The following statements can be considered true or false in the case;
V(0) = 2 means that the value of the bank account when it is opened is; $2000. Thus, it is TRUE
V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is; $5000. Thus, it is FALSE
V(10) – V(5) = 0.4 means that the bank account grows by, $400 between 5 and 10 years after its opening. Thus, it is TRUE
The function takes the form as given below.
V(t) = Value of account.
Hence, The Statement 1 is true.
The Statement 2 is false.
The Statement 3 is true.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ6
I need the answers to #1-#6 ASAP!
Answer:
the answer to 1 is 24.5
Step-by-step explanation:
i believe
Jennyra charges $8 per hour for each babysitting job she works. Write an expression to show the number of hours she works.
Answer:
8 times x
Step-by-step explanation:
x being the number of hours
Which expression has a value of 50 after simplifying?
A.
(24 + 48) ÷ 4 + 2
B.
8 + (15 – 4) x 4 – 10 ÷ 5
C.
36 – 24 ÷ 6 + 24
D.
(8 + 12) – 6 + 9
Answer:
b
Step-by-step explanation:
Use PEMDAS in order to solve