Answer:
r + c ≤12
r > 3
c > 2
Step-by-step explanation:
Jennifer is putting together a selection of flowers that has at most 12 flowers in it.
r = number of roses she uses
c = the number of carnations
At also means Less than or equal to.
It is represented by ≤
She is choosing either roses or carnations. She wants to pick at least three roses
r > 3
and at least two carnations.
= c > 2
Therefore, the system of inequality that represents this scenario is written as:
r + c ≤ 12
r > 3
c > 2
Describe fully the single transformation
that maps shape A onto shape B.
Answer: a reflection across the x-axis
A wheel is made of a circular rim and 8 spokes as shown.
The length of each spoke is 37cm
WORK OUT THE TOTAL LENGTH OF THE RIM AND SPOKES.
Answer:
528.6
Step-by-step explanation:
find the circumference of the circle using:
πd: 22/7*74
add the length of the 4 strokes: 37*8
add the two:
Answer:
528.48cm
Step-by-step explanation:
Total length of all the spokes
37cm*8 = 296cm
Length of the circular rim
2πr = Circumference
2(37)π = 74π
74π = 232.48cm
Overall Length
232.48cm + 296cm = 528.48cm
Simon's salary has increased by 6% p.a. over the past three years. it is now $35730.40 p.a.
a) what did he earn per year three years ago
b) what is his gross monthly salary at the present rate
c) His deductions each month amount to 22.5% of his gross salary. what is his net pay per month?
Answer:
Step-by-step explanation:
The employee earns $10,100/month, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $124,740 during the year. He has requested that his employer withhold 12% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The Simon's salary at present = $35730.40 p.a.
Increased rate = 6% = 0.06
(a) Simon's salary three years ago:
⇒ [tex]\$35730.40(0.06)[/tex]
⇒ [tex]\$2143.824[/tex]
Original salary of Simon,
⇒ [tex]35730.40-2143.824[/tex]
⇒ [tex]\$33586.576[/tex]
(b) Gross monthly salary at the present:
⇒ [tex]\frac{33586.57}{12}[/tex]
⇒ [tex]2798.88[/tex]
(C) Net pay per month:
Deductions each month amount to 22.5% of his gross salary,
⇒ [tex]22.5\%=0.225[/tex]
⇒ [tex]2798.88(0.225)[/tex]
⇒ [tex]\$629.79[/tex]
Thus net pay per month,
⇒ [tex]2798.88-629.79[/tex]
⇒ [tex]\$2169.09[/tex]
Hence we can conclude that
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
Learn more about word problems here
brainly.com/question/20594903
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I need help I'm confused.
Answer:
ok
Step-by-step explanation:
A rectangular plot of land is represented on a map by the vertices (10,10), (10, 90), (70.5, 90), and (70.5, 10), where the x- and y-coordinates are measured in yards. What is the area of the plot of land?
Answer:
Area of the plot of the land is 4840 square units.
Step-by-step explanation:
Let's draw the rectangle approximately on an x y plane. That would help us to find the length and width of the rectangle.
Answer: 4,480yd^2
Step-by-step explanation:
You have the x and y coordinates of the vertices (10, 10), (10,90), (70.5,90), and (70.5, 10) you have the coordinates: x and y as the first two which are the ones in bold. From that you do 70.5-10= 60.5.
Then you subtract the x and y coordinates again, which are underlined. From that do 90-10=80
Last you do 60.5x80=4,840 yards squared
Mark me brainliest!!!
Hope this Helps!!!
HELP ME PLEASE..... i really need it asap
Answer: Buying the 5 tickets to the next hockey game is better because the unit price is only 16$
Step-by-step explanation:
80 / 5 = 16
50 / 3 = 16.666
A pilot spots the airport at an angle of depression of 16°. The plane is flying at an altitude of 9,000 ft. What is the ground distance (distance along the ground) from the plane to the airport to the nearest foot
Answer:
[tex]31,387\:\text{ft}[/tex]
Step-by-step explanation:
We can form a right triangle using the plane, the airport, and ground and use basic trig for a right triangle to solve this problem.
In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is ground distance between the plane and the airport:
[tex]\tan 16^{\circ}=\frac{9,000}{x},\\x=\frac{9,000}{\tan 16^{\circ}},\\x\approx \boxed{31,387\:\text{ft}}[/tex].
Isaiah has $12.00 to pay the admission fee and play games at a local fair. There is a $5.00 admission fee, and each game costs $0.25. Write an inequality?
4.62 +3-3.6z =
Answer plssss
Answer:
z = 2.12
Step-by-step explanation:
4.62 +3 - 3.6z = 0
7.62 - 3.6z = 0
-3.6z = -7.62
z = 2.12
The lengths of the sides of the triangles are 13cm, 14cm, and 15cm. Is the triangle a right triangle?
Answer:
no i don't think
Step-by-step explanation:
it is not be a right angle is 90 and when u add it it doesn't match
Total surface area??
Answer:
128
Step-by-step explanation:
couculator mhm thats all
Answer:
[tex]160cm^{2}[/tex]
Step-by-step explanation:
Surface Area = [tex]2(wl+hl+hw)[/tex]
w = 4
l = 8
h = 4
[tex]2((4*8)+(4*8)+(4*4))[/tex]
[tex]2(32+32+16)[/tex]
[tex]A = 160[/tex]
please help asap - ill give brainiest
Answer:
this is your answer. look it once
GEOMETRY HELP WILL MARK BRAINLIEST!!!!
Answer:
x = 20°
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary.
x + 160 = 180
x = 20°
ESCRIBE LA EXPRESION ALGEBRAICA : Paul tenía S/ e. Compró un libro y recibió S/ 3 de vuelto. ¿Cuánto costó el libro en términos de e? *
Answer:
p(e)=e-3
Step-by-step explanation:
De acuerdo a la información proporcionada, sabes que Paul tenía una determinada cantidad e y al comprar el libro recibió 3 de vuelto, lo que significa que el precio del libro sería igual a restar 3 de la cantidad que tenía al inicio, lo cual se puede expresar de la siguiente forma:
p(e)=e-3, donde
p es el precio del libro
e es la cantidad que Paul tenía al inicio
What is the missing side (x)?
Answer:
5ft
Step-by-step explanation:
Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost \$25dollar sign, 25. Let BBB represent the number of black beards and RRR represent the number of red beards that Merlin can sell to make more money than he made last month.
Complete question :
Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost $25. Let B represent the number of black beards and R represent the number of red beards that Merlin can sell to make more money than he made last month. 20B+25R > 350 According to the inequality, how much money did Merlin make last month, and how much does each black beard cost?
Answer:
1.) > 350
2.) $20
Step-by-step explanation:
Number of black beard = B
Number red beard = R
Cost of red beard = 25
Last month inequality :
20B+25R > 350
Amount Merlin made last month :
Revenue from both red and black Bearf, Hence amount realized last year greater than 350
Cost per black beard is the Coefficient of B which is 20
Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ. Prove: ΔWXY ~ ΔWVZ Triangle W X Y is shown. Line segment Z V is drawn parallel to side Y X to form triangle W V Z. Complete the steps of the proof. ♣: ♦: ♠:
Answer:
The answer is below
Step-by-step explanation:
Two triangles are similar if the ratio of their corresponding sides are in the same proportion.
1. ΔWXY is isosceles with legs WX and WY (given)
2. ΔWVZ is isosceles with legs WV and WZ (given)
3. WX = WY, WV = WZ (definition of an isosceles triangle)
4. [tex]\frac{WX}{WY}=1\\\\[/tex]
[tex]\frac{WX}{WY}=\frac{WZ}{WZ} \ \ \[/tex] (definition of ≅)
5. (WZ)(WX) = (WY)(WZ) (multiplication property)
6. (WZ)(WX) = (WY)(WV) (substitution property).
7. [tex]\frac{WY}{WZ}=\frac{WX}{WV}[/tex] (property of proportion)
8. ∠W = ∠W (reflexive property)
9. ΔWXY ~ ΔWVZ (side - angle - side similarity postulate)
Answer:
♣:
✔ WX = WY; WV = WZ
♦:
✔ substitution property
♠:
✔ SAS similarity theorem
Step-by-step explanation:
just took it :)
Above are Joe’s bank account records. What is Joe’s ending balance? Please help
Answer:
$425
Step-by-step explanation:
475 - 50 = 425
Ill give BRAINLIEST I NEED HELP
Answer:
∠G
Step-by-step explanation:
The tangent of an angle is given by the following trigonometric ratio;
[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]
From the question, we have;
tan ∠K = 6/8
ΔGIH is similar to ΔKJL
By observation of the length, we have;
Segment HI and segment JL are corresponding segments
Segment KL and segment HG are corresponding segments
∴ ∠K and ∠G are corresponding angles
∴ tan∠G = tan∠K = 6/8
The angle whose tangent is 6/8 is ∠G
Which one should I be choosing?
Answer:
B) m∠S= 116, m∠Q=64, m∠T= 64
Step-by-step explanation:
Jenny's great-grandmother is 86 years old. Jenny is 11 years old. What percent of Jenny's great-grandmother's age is Jenny's age
Answer:
12.79%
Step-by-step explanation:
Let :
Great grand mother = 86 years
Jenny = 11 years
Let the percentage = x
x % of great grandmother's age = Jenny's age
x% * 86 = 11
x/ 100 * 86 = 11
86x / 100 = 11
86x = 100 * 11
86x = 1100
x = 1100/86
x = 12.79
x = 12.79%
m<3+m<5=180 true or false
Answer:
False.
Step-by-step explanation:
If I have 14 neutrons and 11 electrons, what is my mass number?
A.25
B.3
C.11
D.14
Answer:
A : 25
Step-by-step explanation:
In a neutral atom, the number of electrons is equal to the number of protons. The atomic number indicates the number of protons.
The mass number is the sum of the number of neutrons and the number of protons.
mass number=protons+neutrons
As we know from the atomic number, the number of neutrons is 14 and the number of electrons is 11.
mass number = 14 + 11
Leon created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 7 inches. The length of the actual library is 56 feet.
Which scale did Leon use to create the scale drawing of the school library?
8 inches represents 1 feet
1 inch represents 8 feet
7 inches represents 1 foot
1 inch represents 7 feet
Two of the sides of a triangle are 7 inches
and 8 inches. If the third side is a whole
number of inches, what is its greatest
possible measure?
Answer:
11 inches
Step-by-step explanation:
7^2+8^2=c^2
49+64=c^2
113=c^2
square root both side
c=10.63014581
round up and get c=11
hope this helped :)
How do I do this???????
Answer:
42
Step-by-step explanation:
alternate exterior angles are equal. Therefore 32 = y - 10. Solving for y:
y - 10 = 32
y = 32+10
y = 42.
How to find mean absolute deviation
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
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hope it helps
Could you please help me out.
Answer:
B
Step-by-step explanation:
dababy
The price of a 7-minute phone call is $1.05. What is the price of a 15-minute phone call?
The price of a 15- minute phone call is $
plz help me O_O
2.25$. The call is priced at 15 cents per minute
What expression could be used to evaluate 9/10-1/6