Janet can buy 36 sets of cutlery.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Janet has a 65 dollar budget to buy paper goods and plastic cutlery for an impromptu birthday party
the paper goods will cost 37.50
We need to find the difference of 65 dollars and 37.50 to determine the amount left to purchase cutlery
65-37.5
27.5
As by given, each cutlery set costs 0.75.
We need to divide 27.5 by 0.75 to find number of cutlery sets
27.5/0.75=36.6
Hence, Janet can buy 36 sets of cutlery.
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A local company employs a varying number of employees each year, based on its needs. The labor costs for the company include a fixed cost of $44,604.00 each year, and $27,396.00 for each person employed for the year. For the next year, the company projects that labor costs will total $1,715,760.00. How many people does the company intend to employ next year?
A.
731
B.
125
C.
61
D.
31
Answer:
D
Step-by-step explanation:
P × R × T÷ 100
1,715,760.00×27,396.00×44,604.00÷100
2.096609278659÷100
20,966,092,786,598.4
=31
Amir pits £3035 into a bank account. The account pays 4% compound interest each year. Work out how much money amir will have in the account after 6 years
Answer:
[tex]\£3840.2[/tex]
Step-by-step explanation:
Let P denotes principal amount, T denotes time period and R denotes rate of interest.
Amount = [tex]P(1+\frac{R}{100})^T[/tex]
Amir pits £3035 into a bank account. The account pays 4% compound interest each year.
Put [tex]P=\£3035,\,R=4\%,\,T=6[/tex]
Amount = [tex]3035(1+\frac{4}{100})^6=3035(\frac{104}{100})^6=\£3840.2[/tex]
Therefore, Amir will have [tex]\£3840.2[/tex] in the account after 6 years.
How many cubes with side lengths of 1/3
cm does it take to fill the prism?
Answer:
48 cubes
Step-by-step explanation:
You could fit these cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm x 2 2/3 cm x 2/3 cm.
I NEED THIS ASAP
For what value of q is the equation - 13(9 + 4) = 79 + 16 true?
Answer:
False
Step-by-step explanation:
ok so
9 + 4 = 13
-13 * 13 = -169
79 + 16 = 95
-165 does not equal 95
Hope this helps!!
Your parents took your family out to dinner your parents wanted to give the waiter a 15% tip if the total amount of the dinner was $67.50 what should be paid to the waiter as a tip and what is the total amount your parents will spend
Answer:
15% of $67.50 is $10.125 lets round it up to $10.13
Tip: $10.13
Total meal cost: $77.63
Brainly plz :))
Answer:
the waiter 10.13
your parents will pay 77.63
Step-by-step explanation:
67. 50 x 0.15 = 10.13
67.50 + 10.13 = 77.63
hope this helps
whats the permiter and area of this triangle will mark brainleist?
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
Which expression is
equivalent to -3(4 - 6x)?
show steps please
Answer:
-3(4 - 6x)
-12 +18x
=18x - 12
Step-by-step explanation:
You multiple the negative 3 with positive 4 to get negative 12.
An you also multiple the negative 3 with negative 6x (a negative multiple a negative changes into positive) giving you 18x as your answer
need help will give brainliest
Which statement is NOT true about the algebraic representation (x,y) → (1/3x,1/3y)?
PLEASE HELP
BRAINLIEST
20 points
What is the measure of angle 1?
VX
920
2
0869
0889
o 90°
92
Mark this and retum
Save and Exit
Next
Sub
Help me please like right now
X=
Y=
The polygons to the right are similar. Find the value of each variable
Answer:
y = 7
x = 24
Step-by-step explanation:
When two triangles are similar, the ratio of their corresponding sides are equal
For the bigger triangle we have a total 48; so for the smaller we have x
For the bigger, we have 14, so for the smaller, we have y
Mathematically;
25/x = 50/48
x * 50 = 25 * 48
x = (25 * 48)/50
x = 24
For y;
25/y = 50/14
y = (25 * 14)/50
y = 7
Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.
Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD
The sales tax on a $30 purchase was
$2.40. What was the sales tax rate?
Answer:
8 percent
Step-by-step explanation:
2.4/30 = 0.08 or 8%
What is the value of x rounded to the nearest hundredth?
Question 3 options:
6
8
7
5
Answer:
I think 5 could be wrong tho
Step-by-step explanation:
4x4+3x3=25
✓25
5
How to see the other 3 screenshots click the 3 mini squares
Answer:
click the squares its easy and simple
Maria's kite tail was 3 1/2 feet long. Max's kite tail was 2 1/4 feet long. How much shorts was max's kite tail in inches?
Answer: [tex]\frac{5}{4}\ ft[/tex]
Step-by-step explanation:
Given
Maria kite tail is [tex]3\ \frac{1}{2}\ ft[/tex] long
Max's kite tail is [tex]2\ \frac{1}{4}\ ft[/tex] long
Converting it to a fraction
Maria kite tail
[tex]\Rightarrow \dfrac{3\times2+1}{2}=\dfrac{7}{2}\ ft[/tex]
Max's kite tail
[tex]\Rightarrow \dfrac{2\times4+1}{4}=\dfrac{9}{4}\ ft[/tex]
Difference between lengths
[tex]\Rightarrow \dfrac{7}{2}-\dfrac{9}{4}\\\Rightarrow \dfrac{14-9}{4}=\dfrac{5}{4}\ ft[/tex]
Max's tail is [tex]\frac{5}{4}\ ft[/tex] short than Maria kite tail
Solve this for me please i need help with it
Answer:
sin 60 = 6 sqrt(3) / a
sqrt(3)/2 = 6 sqrt(3) / a
1/2 = 6/a
a =12
sin 30 = b / a
1/2 = b / 12
b=12/2
b=6
Step-by-step explanation:
Write the name of each decimal place indicated (pls don't troll I'm failing I'll give brainliest)
Answer:
7.) c
8.) 5.9
9.) 8.78
10.) 8.778
if im wrong let me know
Step-by-step explanation:
Select all the statements about the graphs of g (x) - 5 a? and f (x) = x2 that are true.
1. f and g open in the same direction.
2. f and g intersect twice.
3. f and g have the same axis of symmetry.
4. f and g have the same vertex.
5. g is wider than f.
Answer:
Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!
Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost
Answer:
Total cost = $4.08
Step-by-step explanation:
Given the following data;
Selling price = $3.4
Shipping and handling fee = 20%
To find the total cost;
First of all, we would determine the extra fee;
Extra fee = 20/100 * 3.4
Extra fee = 68/100
Extra fee = $0.68
Now, we can solve for the total cost using the formula below;
Total cost = selling price + extra fee
Total cost = 3.4 + 0.68
Total cost = $4.08
If 256 - 64 = 4, then?
A)
4 x 64 = 256
B)
4x 256 - 64
C)
64 x 256-4
D)
256 x 64 = 4
Answer:
Step-by-step explanation:
B
Answer:
Its would be A
Step-by-step explanation:
4 X 64=256
Hope this helped. If you check its simple math really! :))
Jack learned four appetizer recipes over the course of 2 weeks of culinary school. After 5 weeks of culinary school, how many total appetizer recipes will Jack know? Assume the relationship is directly proportional.
Answer:
10 appetizers
Step-by-step explanation:
4/2 = x/5
20 = 2x
x = 10
Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?
Answer:
At (5, -4)Step-by-step explanation:
The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line that passes through given point with a slope of m:
y - y₁ = m(x - x₁)
Line A:
[tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]
[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]
Line B:
[tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]
[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]
Point of intersect means the same coordinates x and y.
So:
[tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]
The ratio of boys and girls riding the bus is 4:3 if there are a total of 56 students on the bus,how many girls are on the bus
Answer:
18 or 14
Step-by-step explanation:
also, can u help me with my recent questin
x/7=1/4
please help will give brainlest
Answer:
x=7/4
Step-by-step explanation:
cross multiply and divide both sides
Which statement is true about the prime polynomial 2x2 + 3x + 3?
ОО
It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.
Answer:
It cannot be modeled with a rectangle.
Step-by-step explanation:
The given expression 2x^2 + 3x +3 cannot be factored.
That means that it cannot be modeled with a rectangle.
So your answer is, It cannot be modeled with a rectangle.
Answer:
It cannot be modeled with a rectangle.
Step-by-step explanation:
Hope this helps
if a bird flew 30 meters in 10 seconds how far would it fly in 1 second
Answer: The bird would fly 3 meters in 1 second. Have a good day!!
30 divided by 10 is 3. Therefore, 3 is your answer!
A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.
The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.
Sketch of the ship's motionThe sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.
<-------- 200 km-------
|
| 240 km
↓
Displacement of the shipThe displacement of the ship from the initial position is calculated as follows;
d² = 200² + 240²
d² = 97,600
d = √97,600
d = 312.4 km
Direction of the displacementtanθ = 240/200
tanθ = 1.2
θ = tan⁻¹(1.2)
θ = 50.2⁰
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A sample in a laboratory starts with 8 bacteria. The bacteria grow at a rate of 3.2% every hour. How many hours until the sample has grown to 140,000
bacteria? (Round to the nearest whole number)
A 46
B 3
C) 305
D 133
Answer:
probably C
Step-by-step explanation:
The question can be written as:
8 * 1.032^n = 140 000, this can be rearranged to
140 000/8 = 17500 = 1.032^n
now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]
example of log
2^3 = 8
log2 (8) = 3
log1.032 (17500) = 310.17