The equation shows the various numbers of hours you can work at each job are 5.50C + 6L = 250, and C + L = 44, so option A is correct.
What is the equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
Given:
You work a total of 44 hours per week at your two jobs, Your job as a store clerk pays $5.50 an hour, and your job as a landscaper pays $6.00 an hour, and the total money to be earned is $250 per week.
Calculate the equation as shown below,
5.50C + 6L = 250 and C + L = 44
Solve the above equation by using the elimination method,
C = 28 hours and L = 44 - 28 = 16 hrs
Therefore, the equation shows the various numbers of hours you can work at each job are 5.50C + 6L = 250, and C + L = 44.
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Kristen spent many days at the community pool last summer. She noticed that five out of fourteen flying insects she saw at the pool were mayflies. If Kristen saw fourteen flying insects at the pool one day, how many were mayflies? If, over several days, Kristen saw forty two flying insects, how many were mayflies? If, over a few weeks, Kristen saw thirty mayflies, how many flying insects did she see?
Answer:
(a) 5 mayflies
(b) 15 mayflies
(c) 84 flying flies
Step-by-step explanation:
Represent Mayflies with M and the total flying insects with F
The ratio can be represented as:
[tex]M : F = 5 : 14[/tex]
Solving (a):
[tex]F = 14[/tex]
Find M
Substitute 14 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 14 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{14} = \frac{5}{14}[/tex]
Multiply through by 14
[tex]14 * \frac{M}{14} = \frac{5}{14} * 14[/tex]
[tex]M = 5[/tex]
Solving (b):
[tex]F = 42[/tex]
Find M
Substitute 42 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 42 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{42} = \frac{5}{14}[/tex]
Multiply through by 42
[tex]42 * \frac{M}{42} = \frac{5}{14} * 42[/tex]
[tex]M = \frac{5}{14} * 42[/tex]
[tex]M=5*3[/tex]
[tex]M= 15[/tex]
Solving (c):
[tex]M = 30[/tex]
Find F
Substitute 30 for M in [tex]M : F = 5 : 14[/tex]
[tex]30 : F = 5 : 14[/tex]
Convert to fraction
[tex]\frac{F}{30} = \frac{14}{5}[/tex]
Multiply through by 30
[tex]30 * \frac{F}{30} = \frac{14}{5} * 30[/tex]
[tex]F = \frac{14}{5} * 30[/tex]
[tex]F = 14*6[/tex]
[tex]F = 84[/tex]
A. ( x + 5)
B. ( x - 5 )
C. ( x + 3 )
D. ( x - 3 )
Answer:
(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0
Step-by-step explanation:
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
Rules for expressions with fractions:
Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).
Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2
$9000 principal earning 5% compounded annually, after 6 yr
Answer:
the answer is
$12,130.64
You can walk 3/4 of a mile in 1/6 of an hour (10 minutes). How far can you walk in an hour?
Answer:
4 and 1/2 miles (or 9/2 miles)
Step-by-step explanation:
I would set this up as a proportion
3/4 x
10 60
Cross multiply
60 x 3/4 = 45
Divide
45/10 = 4.5
4.5 = 4 and 1/2 miles
You spent $60 in supplies to sell shirts. You sell your shirts for $10
each. How many do you have to sell to make a profit?
Answer: Atleast 7
Step-by-step explanation:
In order to make a profit you have to amke more money than what you spent for supplies. So if each shirt is 10$ then you would have to sell atleast 7 shirts since if you do you will have made 70$, therefore a 10$ profit. If you sell 6 shirts, you make 60$, meaning you gain all your money back, but you do not make a profit.
the answer is 7
Step-by-step explanation:
7×10=70-60=10
3/4x + 3 = 3/8
X = what
Answer:
x = - 7/2
Step-by-step explanation:
3/4x + 3 = 3/8
3/4x = 3/8 - 3
3/4x = - 21/8
x = -7/2
A graduated cylinder is filled with 20ml of water. Then, an 8g marble is dropped into the cylinder, causing the volume to change to 24ml. What is the density of the marble?
Answer:
The density of the marble is 2,000 kg/m³
Step-by-step explanation:
The given parameters for finding the density of the marble are;
The volume of water in the graduated cylinder, v₁ = 20 ml
The mass of the marble dropped into the graduated cylinder, m = 8 g
The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml
Therefore, the volume of the marble, v = v₂ - v₁
Substituting the known values gives;
The volume of the marble, v = 24 ml - 20 ml = 4 ml
Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³
Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;
[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml
1 g/ml = 1 kg/l = 1,000 kg/m³
∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.
Tessa likes to carve bird and cat figures out of wood. She has carved 4 times as many bird figures as cat figures. If Tessa has carved 24 bird figures, how many figures has she carved altogether?
Tessa carved a total of 30 figures including bird and cat figures.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
let, The number of cat figures is 'x'.
Given, She has carved 4 times as many bird figures as cat figures.
Therefore, 4x = 24.
x = 24/4.
x = 6.
So, Tesaa carved 6 cat figures and hence she carved a total of
24 + 6 = 30 figures.
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could someone please help me with this
Answer: i think it would be D
Step-by-step explanation:
Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form
3y+2x-4+5x+7
Simplify
Answer:
3y+7x+3
Step-by-step explanation:
3y+2x+5x-4+
=3y+7x+3
Please help
Need working for 2 and 3
Answer:
Question 3:
51/16
As a mixed number =
3 3/16
Step by step explanation:
You have to convert the fraction into improper fractions so 8 ½ = 17/2
and 2⅔ = 8/3
then you do 17/2 ÷ 8/3 which =
51/16 theb turn this number into a mixed number which is
3 3/16
PLEASE HELP MEEEE!!!!!!!
Answer:
its a black picture...?
Step-by-step explanation:
GIVING THE BRIANLEIST FOR THE CORRECT ANSWER TO HELP ME WITH MY QUESTIONS!!!
1.
you have a recipe that requires 1/3 cup of sugar, but you only want to make a fourth of the recipe. How much sugar do you need to make this fraction of the recipe?
1/12 Cups
7/12 Cups
3/4 Cups
4/3 Cups
-------------------------------------------------------------------------------------------------------------------
2.
You have half a cake left after a party, and you want to split it into 4 pieces. What fraction of the original cake is each slice?
1/8
1/4
1/2
2/1
------------------------------------------------------------------------------------------------------------------
3.
Your class of 32 students is divided into fourths to create groups to answer a set of questions together. Then, one-fourth of each group has to go to the front of the classroom and read off the group's answers. How many students go up to the classroom for each group?
2
4
6
8
SHOW YOUR WORK PLSSSSS
Answer:
2
Step-by-step explanation:
32 divided by 4 is 8
1/4 of 8= 2
Pls help and explain why!
Answer:
A, SSS
Step-by-step explanation:
the 3 sides are equal with the other triangle
Answer:
SSS
Step-by-step explanation:
The triangles have three of the same sides, so it would be SSS.
Hope this helps!
Please mark me brainliest if possible. :)
What are the coordinates of A after a dilation of 2/3 centered at the origin? Question 11 options:
A' =(−3/4, −3/2)
A' = (4/3, 2/3)
A' = (2, 1)
A' =(2/3, 2/3)
Answer:
The image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Step-by-step explanation:
Given
Point A (2, 1)We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentRule to calculate the dilation by a scale factor 2/3 centered at the origin
P(x, y) → P'(2/3x, 2/3y)
Here, P'(2/3, 2/3y) is the image of P(x, y).
It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 2/3.Thus,
A(2, 1) → A'(2/3(2), 2/3(1)) = A'(4/3, 2/3)
Therefore, the image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Ouglas made 122 dollars by washing cars to buy holiday presents. He decided to spend m dollars on a present for his mom and then use the remainder to buy presents for each of his 5 sisters. He will spend the same amount on each sister. Which expression represents how much he can spend on each sister?
URGENT! Can someone please help me?
Answer:
An equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
Step-by-step explanation:
A circle in the xy-plane has centre (5,7) and radius 2. Which of the following is an equation of the circle.
The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.
We have centre (5,7) so, we have h = 5 and k = 7
We have radius = 2 so, r = 2
Putting values in the equation and finding the required equation:
[tex](x-h)^2+(x-k)^2=r^2\\(x-5)^2+(x-7)^2=(2)^2\\(x-5)^2+(x-7)^2=4[/tex]
So, an equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
There are 32 students on a large bus, and the rest are on a smaller bus. If 30% of the students are on the smaller bus, how many total students are on the two buses?
Answer:
46 total
Step-by-step explanation:
32 on large bus
30% on small bus
32 =70%
100%=32/70 x(100)=46
24x0. 6x1. 21x2. 11x5
Answer:
24
6
42
55
Step-by-step explanation:
Answer:
24×0=0
6×1=6
21×2=42
11×5=55
Plzzzzz give me Brainliest!!!!!
Find the value of θ in radius
Step-by-step explanation:
the answer is explained above
estimate the value of
[tex] \frac{ \sqrt{2\pi} }{ \sqrt{5} } [/tex]
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?
Answer:
4x + 7y = 3365
x + y = 578
x = matinees
y = regular
Step-by-step explanation:
Given
$4 = matinees
$7 = regular
Total tickets = 578
Money collected = $3365
If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;
4x + 7y = 3365
x + y = 578
Solving the system;
Multiply the second equation by (-4)
4x + 7y = 3365
-4x - 4y = -2312
Add the equations
4x + 7y = 3365
-4x -4y = -2312
3y = 1053
Inverse operations
3y = 1053
/3 /3
y = 351
x = 227
75 points! Will mark brainliest! Only answer if you know it! Random answers will be reports because I’m trying to get the true real answer :)
Answer:
y=1/2x
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line parallel to y=1/2x−8
I know this isn't much but please don't report me. I got this answer ):
Answer:
y = [tex]\frac{1}{2}[/tex]x + 8
Step-by-step explanation:
Since lines that are parallel to each other must have the same gradient,
m = [tex]\frac{1}{2}[/tex]
PLEASE HELP!!!!!! what is the purpose of arithmetic and geometric sequences?
Answer:
An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.
Step-by-step explanation:
Give me a brainiest, please.
Need help this is my last one i need can anybody help i don't get it thanks if you do help
Answer:
its c
Step-by-step explanation:
Hope this Helps!!!
A pair of shorts regularly cost $35 are on sale for 20% off what is the price of the shorts?
5.2 divided by what =0.052 and 7,650 divided by what = 7.65
Answer:
a) 100, b) 1000
Step-by-step explanation:
First Answer:
5.2/x = 0.052
x = 5.2/0.052
x = 100
Second Answer:
7650/x = 7.65
x = 7650/7.65
x = 1000
Answer:
A). 100
B). 1000
Step-by-step explanation:
YOU CAN SEE EXPLANATION IN IMAGES.
HOPE THIS HELPS YOU...
A 50% DISCOUNT IF THE SWAETSHIRT COST $64.75, HOW MUCH DID ADAM PAY ROUNDED TO THE NEASRT HUNDERTHS
Mika has a goal of folding at least 120 paper swans. He can fold 12 paper swans per hour. Which inequaility can Mika use to find h, the number of hours he should fold paper swans to meet or exceed his goal?
Answer: it would take him 10 hours to make 120 paper
