Step-by-step explanation:
let :
the job as lifeguard = A
the job as cashier = B
making 2 equations as follows :
(1) A+B = 14 ==> A = 14-B
(2) 10A + 8B = 124
substitute A (equation (1)) into equation (2) :
10(14-B) + 8B = 124
140 -10B +8B = 124
140- 2B = 124
140-124 = 2B
16 = 2 B
B = 8
A = 14-8 = 6
so, as a lifeguard = 6 working hours
and as a cashier = 8 working hours
Answer:
Step-by-step explanation:
Let the lifeguard hours = x
Let the cashier hours= y
x + y = 14
10*x + 8*y = 124 Multiply the top equation by 8 Put it under here.
8x + 8y = 112 Subtract
2x = 12 Divide by 2
x = 6
He worked 6 hours as a lifeguard.
x + y = 14
6 + y = 14 Subtract 6 from each side
y = 14 - 6
y = 8
He worked 8 hours as a cashier.
check
6*10 = 60
8 * 8 = 64
total 124
what is the same as moving the decimal point 3 places to the left in a decimal number ?
1. Multiplying the number by 1,000
2. Dividing the number by 1,000
3. Multiplying the number by 100
4. Dividing the number by 100
A soda company has sales of $35,135 million in 2010 and 45,954 million in 2014. Use the midpoint formula to estimate the sales in 2012. Assume the sales followed a linear pattern
1. (5x2-2x+3) + (x2+x+2)
how to approximate to 3 significant figures
Answer:
We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.
Name that polynomial X^4-3x^2+7x^5
We have that the Polynomial is named as a Quintic polynomial
From the Question we are told that
Polynomial=[tex]X^4-3x^2+7x^5[/tex]
We note that the Polynomial is of degree 5 as its highest Sum of its exponent is a
Quintic polynomial
Therefore
The Polynomial is named as a Quintic polynomial
In conclusion
For every Polynomial at degree five that is a greatest power of 5 (e^5) the accurate name for this polynomial is called a Quintic Polynomial
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A segment has the following coordinates A(6,7), B(4,-3). Find the coordinates of the of the midpoint of AB.
Answer:
(5,2)
Step-by-step explanation:
midpt coordinates =((x1+x2)/2,(y1+y2/2))
= ((6+4)/2), (7-3)/2)) = (5,2)
Which of the following best describes the graph below?
Answer:
the answer is c
Step-by-step explanation:
because it takes a non-negative number as input and returns the square root of that number as output.
Blake and josh are both saving money for a new bike the ratio of Blake,s saving to josh saving 3:1 if they have saved 400$, how much has each boy saved
Answer:
Bake = $300
Josh = $100
Step-by-step explanation:
3:1
3(00) / 1(00)
300 / 100
Chow,...!
Evaluate: – 10+26 (-7)||
A - 74
B 74
94
-94
please answer asap
giving 10 points image is attached
Answer:A
Step-by-step explanation:
EASY MATH ALGEBRA 1 PLEASE HELP
Answer:
|-x|
Step-by-step explanation:
A reflection across the y-axis means the negative is on the inside: g(-x)
what's the Answer ?
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
Answer:
Solution given;
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]
[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]
[tex]\dfrac{15}{3}[/tex]
=5
Answer:
First, simplify the content under root:
[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]Now, use the following identity:
[tex]\sqrt{a^2} = |a|[/tex] = ± aLast, we get:
√25 = √5² = ± 5Find the mode, median, and mean of each data set ( ASAP pls can someone help me )
Answer:
mean = 10.818181...
median = 10
mode = 5
Step-by-step explanation:
first put the numbers in order, smallest to largest
5 5 6 8 9 10 11 13 15 18 19
mean = 5+5+6+8+9+10+11+13+15+18+19 = 119 119÷11= 10.818181818... (round it)
median = 10
mode = 5
solve giving brainlist if it right
F is the numerator of the fraction. To solve move g over to the opposite side by multiplying both sides by g:
F = h * g
Find the mean, median, mode, and range of the data set.
9, 3, 15, 7, 2, 4, 3
If necessary, round your answers to the nearest tenth.
Answer:
Step-by-step explanation:
Mean = Sum of data ÷ number of data set
[tex]=\dfrac{9+3+15+7+2+4+3}{7}\\\\=\dfrac{43}{7}\\\\= 6.14\\\\= 6.1[/tex]
Median:
Arrange the data in ascending order:
2 , 3 , 3 , 4 , 7 , 9 , 15
Middle term is the median of the data set
Median = 4th term = 4
Mode:
Mode is the data whose is frequency is more.
So, mode = 3
Range = Maximum - minimum
= 15 - 2
= 13
Anyone who is interested in construction, please help! Pweeeeseeee(;´༎ຶٹ༎ຶ`)
Answer:
I have ans in the picture form.
Step-by-step explanation:
Take it
how would I simplify by combining like terms. -5a - 4a + b
Answer:
Step-by-step explanation:
-5a-4a+b
-5a-4a are like terms
-5a-4a+b
-9a+b
please mark this answer as brainlist
Find the solution to this equation.
x + 4 = 2x + 8
2
A
All real numbers
B.
No solution
Answer:
A. All real numbers.
Step-by-step explanation:
[tex]x + 4 = \frac{2x + 8}{2} \: \: multipling \: both \: sides \: by \: 2 \\ 2(x + 4) = 2x + 8 \\ 2x + 8 = 2x + 8[/tex]
When you end up with a true statement like this, it means that the solution to the equation is “all real numbers”. Any value for x that you can think of will make this equation true.
4(4-w)=3(2w+2)
find w
Answer:
1
Step-by-step explanation:
4(4-w) = 3(2w+2)
Use distributive property:
16 - 4w = 6w + 6
+4w +4w
------------------------
16 = 10w + 6
-6 -6
-------------------------
10 = 10w
---- -----
10 10
1 = w
Hope this helped.
Hence, the required answer is 1
Find the distance between the points, A (-2, -3) and B (10, -2).
A. 13 units is the answer.
Multiply. Express your answer in simplest form.
3 1/8 × 4/5
A 3 29/32
B 2 1/2
C 3 1/10
D 32/125
Answer:
B. [tex] 2 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]3 \frac{1}{8} \times \frac{4}{5} [/tex]
[tex] \frac{25}{8} \times \frac{4}{5} [/tex]
[tex] = \frac{5}{2} = 2 \frac{1}{2} [/tex]
Please help ASAP 17x - 4(4x - 3)
Step-by-step explanation:
17x-4(4x-4)
17x-16x+8
X+8
Answer:
x + 12
Step-by-step explanation:
17x - 4(4x - 3)
17x - 16x + 12
x + 12
When Beth last checked the clock it was 2:17 pm.
It is now 5:00 pm.
How much time has elapsed?
Answer:
The time is 2:43
Step-by-step explanation:
I did it in my head....
Brooke spent 3/4 hours playing her flute each day for 7 days. How many hours did she play her flute in all
Answer:
5 and 1/4 hours or 5 hours and 15 minutes
Step-by-step explanation:
She played her flute 3/4 hours every day for 7 days, so to find the total number of hours we can multiply 3/4 by 7 to get 21/4. This is equal to 5 and 1/4 hours, or 5 hours and 15 minutes.
Answer: 5.25 hrs
Step-by-step explanation: 3/4 of an hour is 45 min. 45 min x 7 days is 315 min which is 5 hours and 15 min or 5.25 hrs
Solve for x: 3/2 + 1/2x =2x
[tex] \huge{ \boxed{ \bf{ \red{Problem:-}}}}[/tex]
Solve for x: 3/2 + 1/2x =2x[tex] \huge{ \boxed{ \bf{ \red{Solution:-}}}}[/tex]
[tex] \bold{ \frac{3}{2} + {\frac{1}{2} x = 2x}}[/tex]
[tex] \bold{ ⇒\frac{3}{2} + {\frac{x}{2} = 2x}} [/tex]
[tex] \bold{⇒\frac{3 + x}{2} = 2x}[/tex]
[tex] \bold{⇒3 + x = 2(2x)}[/tex]
[tex] \bold{⇒3 + x = 4x}[/tex]
[tex] \bold{⇒3 = 4x - x}[/tex]
[tex] \bold{⇒ \frac{3}{3} = x}[/tex]
[tex] \bold{ \therefore{x = 1}}[/tex]
Hope it's helpfulIf Kyle earns $12.50 per hour, how many hours did he work if he earned a total of $400. Set up an equation and solve. Let x = hours.
Answer:
32.
Step-by-step explanation:
Here is the equation I used. (x = hours)
$400 = $12.50x
To find how many hours he needs to work, divide both sides by 12.50 to get x by itself.
400/12.50 = 12.50x/12.50
Which equals:
32 = x
Which of the following statements must be true based on the diagram below? Select
all that apply. (Diagram is not to scale.)
L
K
O
M M
P
N
OP is a segment bisector.
OP is a perpendicular bisector.
OOP is an angle bisector.
O is the vertex of a pair of congruent angles in the diagram.
O is the vertex of a right angle.
Pis the midpoint of a segment in the diagram.
We have with a study the diagram of the diagram below and the explanations that follows the correct answers are
NONONOYESNOThe mid point of this segment can be derived by drawing diagonals across the 4 vertex LMNK.Generally
1)
OP is a segment bisector.
NO
OP is not a segment bisector because it those not divide segment LKMN in to two equal parts.
2)
OP is a perpendicular bisector.
NO
OP is not a perpendicular bisector because a perpendicular bisector is a bisector that cuts a segment into two equal parts and create an angle to the normal
3)
OP is an angle bisector
NO.
Because OP those not divide any angles into two equal parts
4)
O is the vertex of a pair of congruent angles in the diagram.
YES
Because O lines in between two angles of the same degree()
5)
O is the vertex of a right angle.
NO
Because O those not exist at a right angle
6)
The midpoint of a segment in the diagram
The mid point of this segment can be derived by drawing diagonals across the 4 vertex LMNK.
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Which of the following sets could be the sides of a right triangle?
{2, 3, √10 }
{3, 5,√34 }
{5, 8, 12}
I believe that it’s the last one because it makes the most sence but then again i could be wrong
Since the card has $0 minimum payments for the first 4 years it is active, Emma wonders how much it will cost her if she
doesn't pay off the $300 balance until after college. How much will she owe in 4 years?
Type the correct response in the box. Use numerals instead of words. Round your answer to the nearest dollar.
In 4 years, Emma will owe about $
Answer:
$544.61
Step-by-step explanation:
Edmentum
In 4 years, Emma will owe about $544.61 to the credit card company.
The model for Emma's debt in 4 years is given as:
FV = P(1+r/n)^nt,
where:
P = principal ($300)
r = the interest rate (15%)
t = the time in years (4 years)
n = the number of times the interest is compounded per year (12)
However, we can solve the problem with an online financial calculator as follows:
Data and Calculations:N (# of periods) = 48 (4 x 12 months)
I/Y (Interest per year) = 15%
PV (Present Value) = $300
PMT (Periodic Payment) = $0
P/Y (# of periods per year) = 12
C/Y (# of times interest compound per year) = 12
Results:
FV = $544.61
Total Interest = $244.61
Complete Question:Emma doesn't have experience using credit cards. In fact, she just got her first one. She is also about to start her first year of college. She uses her new credit card to purchase textbooks for her classes. The total comes to $300. These are the terms of her credit card:
It has a 15% annual interest rate.The interest is compounded monthly.The card has $0 minimum payments for the first four years it is active.Thus, in 4 years, Emma will owe $544.61 to the credit card company.
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please help me for my homework