Answer:
D.) The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r+t=20 and 5r+5t=150
Step-by-step explanation:
The given information says that the total amount of lunch bought should equal $150 when both options cost $5:
[tex]5r+5t=150[/tex]
It also says that the food should feed all 20 employees:
[tex]r+t=20[/tex]
This is now a system. Solve by substitution.
Solve the second equation for r. Use inverse operations to isolate the variable by subtracting t from both sides:
[tex]r+t-t=20-t\\\\r=20-t[/tex]
Now insert this value of r into the first equation:
[tex]5(20-t)+5t=150[/tex]
Simplify the equation. Use the distributive property:
[tex]5(20)+5(-t)+5t=150\\\\100-5t+5t=150[/tex]
Cancel the terms:
[tex]100\neq 150[/tex]
100 does not equal 150, so there is no solution to the system.
:Done
write the standard form of equation of the line that passes through (2, 3) and is parallel to y=2x+3?
Answer:
[tex]2x-y=1[/tex]
Step-by-step explanation:
Standard Form of [tex]y=2x+3[/tex]:
Subtract -2x from both sides ([tex]y-2x=2x-2x+3[/tex])Multiple both sides by -1 ([tex]-1*(y-2x=3)[/tex])Rearrange ([tex]2x-y=-3[/tex])Find New 'c':
Replace -3 with a to find new intercept so the equation will pass through (2,3) ([tex]2x-y=c[/tex])Fill in x and y, then solve ([tex]2*2-3=c[/tex])[tex]4-3=c[/tex], [tex]c=1[/tex]Answer:
2x-y=1
Step-by-step explanation:
I TOOK THE QUIZ
in The Quadratic Function
f(x) = - 8 x2 + 32 x
At what value of X , The function will reach its maximum height?
Answer:
x=1/2
Step-by-step explanation:
Velma has 300 stickers in her collection.57% of them are scratch and sniff. How many stickers are scratched and sniff
Answer:
171
Step-by-step explanation:
300*0.57=171
Answer:
129
Step-by-step explanation:
0.5*0.6 equivalent expression
If i understand what you're asking then,
0.5*0.6 = 0.3
so you need to find any other thing that would also = 0.3
examples could be:
3/10 = 0.3
0.1+0.2 = 0.3
0.6-0.3 = 0.3
1.0-0.7 = 0.3
Tobin and me, the two of us, went down to Coney one day. There was four dollars between us. Tobin had need of distractions. Katie Mahorner, his sweetheart, of County Sligo, was lost since she started for America three months before. She had two hundred dollars of her own savings, and one hundred dollars from the sale of Tobin's inherited estate, a fine cottage and pig on the Bog Shannaugh. Since Tobin got the letter saying that she had started to come to him, not a bit of news had he heard or seen of Katie Mahorner. Tobin advertised in the papers, but nothing could be found of the girl.
adapted from "Tobin's Palm" by O. Henry
From which point of view is this passage written?
A.
Second person
B.
Third person omniscient
C.
First person
D.
Third person limited
please answer I really need help ( well I want to know if it is correct..)
a bag of sugar hasa mass of 2kg write an expressions for the mass of n bags of sugar (in kg)
How do you find the area and perimeter of a rectangle. And how do you find the area and perimeter of a square?
Answer:
The perimeter of a rectangle is P = 2 b + 2 h , where is the base (or width) and is the height (or length). If a rectangle is a square, with sides of length , the formula for perimeter is P s q u a r e = 2 s + 2 s = 4 s and the formula for area is A s q u a r e = s ⋅ s = s 2
Step-by-step explanation:
Describe how you can tell whether a line’s slope is greater than 1, equal to 1, or less than 1.
Answer:
the slope is determined by rise over run, meaning you first have to see if the line is negative or positive by the direction it is facing,then you have two points that match accordingly to rise over run,to find out you have to see how many boxes(y) you are rising and however many boxes to the right(x) you are running,then you divide rise/run(look in picture attached for more)
Nandita earned $224 last month.
Answer:
X = 8 x 28 = 224
Nandita earns $8 last month by babysitting.
Step-by-step explanation:
225
divided by
28
8
The equation is x + 28 = 224. Then the amount earned by babysitting will be $196.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Nandita earned $224 last month. She earned $28 by selling cards at a craft fair and the rest of the money by babysitting.
Let 'x' be the amount earned by babysitting. Then the equation is given as,
x + $28 = $224
Simplify the equation for 'x', then we have
x + $28 = $224
x = $224 - $28
x = $196
The equation is x + 28 = 224. Then the amount earned by babysitting will be $196.
More about the Algebra link is given below.
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The complete question is given below.
Nandita earned $224 last month. She earned $28 by selling cards at a craft fair and the rest of the money by babysitting. Complete an equation that models the situation and can be used to determine x, the number of dollars Nandita earned last month by babysitting.
Nikola buys a bouquet of 8 sunflowers for $18.What is the cost of 1 sunflower?
each sunflower is $2.25. please mark brainliest and have a great day.
2. A drop of blood was found spattered on the carpet.
a) There are approximately 5 million red blood cells in one cubic millimetre of the spattered blood. Express
(2 mar
5 million in standard form.About calculation
Step-by-step explanation:
5million = 5000000 = 5 x 10^6
Topic: Unit conversion
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
5+
= 2
3
What the integer that makes the following addition sentence true
Answer:3
Step-by-step explanation:
Just add the numbers backwards
Answer:
the answer is -3
Step-by-step explanation:
5+-3=2
5-3=2
find value of x of question number F
Answer:
X=17
Step-by-step explanation:
AC^2=AB^2 +BC^2(PYTHAGOREAN THEORM)
100=64 +BC^2
36=BC^2
6CM=BC
AD^2=AB^2+BD^2(PYTHAGOREAN THEORM)
X^2 =64+225
X^2=289
X=17
What was her speed?
The graph shows the relationship between the number of
minutes Maria spent jogging on a treadmill and the
distance she jogged.
Ty Miles on the Treadmill
9
8
0.1 mile per minute
05 mile per minute
5 miles per minute
10 miles per minute
Distance on miles)
5 10 15 20 25 30 35 40 45 X
Number of Minutes
0.1 mile per min
Step-by-step explanation:
lol i’m fye
The solution is, her speed was, A) 0.1 mile per minute.
What is speed?Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
here, we have,
Explanation:
From physics we know that distance, time and speed are related by the following equation:
Speed = Distance/ Time.
So we can write the distance as:
d = s*t
Here we have a line that passes through the origin and whose independent variable is t and dependent variable is d and the slope is s. From the graph, we can calculate the equation of the line as:
y = mx;
where, slope = m = y2 - y1 / x2 - x1
here, (x1, y1 ) = (0,0)
(x2, y2 ) = (10, 1 )
we get, m = 1/ 10
So:
y = x/10
or, y = 0.1 x
As you can see from the graph:
y is related to distance (d)
x is related to time (t)
Therefore, we can rewrite our equation as:
d = 0.1 t
Finally, the speed (s) is:
s = 0.1 per mile
again, we have,
The line goes through (0, 0), so Maria's speed is the ratio of miles to minutes:
(4.5 mi)/(45 min) = 0.1 mi/min
hence, The solution is, her speed was, A) 0.1 mile per minute.
Learn more: on Speed:
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The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 43 minutes of calls is $18.98, and the remaining credit after 56 minutes of calls is $17.16. What is the remaining credit after 65 minutes of calls?
hello jump in. ok fine abcd
The side of a square is Two raised to the seven halves power inches. Using the area formula A = s2, determine the area of the square.
Answer:
Step-by-step explanation:
Area of a square = s²
s is the side length of the square
Given
s = 2^{7 1/2}
s = 2^15/2
Area = ( 2^15/2)²
Area = 2^15
Hence two area of the square is 2^15 inches
Answer:
A = 128 square inches
Step-by-step explanation:
A square is a figure with equal length of sides.
Given a square of side, s, [tex]2^{\frac{7}{2} }[/tex] inches.
Area of a square, A = length of side x length of side
= s x s
= [tex]s^{2}[/tex]
Thus,
A = [tex]s^{2}[/tex]
= [tex](2^{\frac{7}{2} } )^{2}[/tex]
= [tex]2^{\frac{14}{2} }[/tex]
= [tex]2^{7}[/tex]
= 128
A = 128 square inches
The are of the square is 128 square inches.
25% of 44 books PLEASE HELP RN
Answer:
11
Step-by-step explanation:
25%=1/4
44*1/4=11
can u pls help me with this question
Answer:
A
Step-by-step explanation:
A ratio is a comparison of two quantities(amounts), so if we show the comparison of 10 apples in the fridge to 7 apples on the table, the ratio being the number of apples in the fridge to the number of apples on the table, would be 10:7, 10 to 7, or 10/7
choose the inequality AND the number line that represents this phase.
x is any number lower than 8.
((ITS AN MULTIPLE CHOICE PLEASE DON'T GUESS!!!THANK Y))
Step-by-step explanation:
I think the 2nd one is the correct
What is the nth term rule to -4 -1 2
Answer:
-8
Step-by-step explanation:
Write an equation in slope-intercept form for the line with slope -3 and y-intercept -1. Then graph the line.
Answer:
y=-3x+-1 or y=-3x-1; y intercepts(0,-1); x intercepts(0,1/3)
Step-by-step explanation:
y=mx+b
-1=-3*0+b
-1=0+b
(subtract 0 from both sides)
-1=b
So your equation will be: y=-3x-1
The equation of the line with a slope of -3 and y-intercept of -1 is given as y = -3x - 1. And the graph is shown below.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Write an equation in slope-intercept form for the line with slope -3 and y-intercept -1.
We know that the equation of the line is given as
[tex]\rm y = mx +c[/tex]
Where m is the slope and c is the y-intercept. Then the equation will be
[tex]\rm y = -3x - 1[/tex]
Then the graph of the line is given below.
More about the linear system link is given below.
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Caleb strung a 12 foot rope from the bottom of one fence post to the top of another. He measured the angle of elevation of the rope as 35°. What is the distance between the two fence posts?
Solve for n, and please give actual answers
4.8+n=6.2
Answer:
n equals 1.4 your welcome
Answer:
n = 1.4
Step-by-step explanation:
4.8 + n = 6.2
- 4.8 -48
(4.8 - 4.8) + n = (6.2 - 48)
n = 1.4
Which Password is "safer?" A password made up of a five letter word, or a password made up of a seven digit number? Why?
Answer:
nether
Step-by-step explanation:
Why well because a good password is like (fake password) goodbuddy74593noice. hard right a good password is numbers AND words
thats a good password.
help??
anyone??
thank you
Answer:
$765.85
Step-by-step explanation:
Hello, HELP!!!!!!!!!!!!!!!! PLS PLS PLS
Answer:
The answer would be B.
Step-by-step explanation:
1:?
4:12
?:27
If 4:12 is a ratio of 1:3 then we can assume that the other unknown numbers also use this same ratio. So the ratio for 1:? would be 1:3 and the ratio for ?:27 would be 9:27 bringing you back to the original ratio of 1:3
Answer:
i think its b 3 ppl 9 cups
If €1 equals 72 pence how much is €410 in pounds
Answer:
=29520pence
Step-by-step explanation:
€1 = 72 pence
So
€410=410×72
=29520pence
solve with substitution
y=2x+4
y= 4x-8
find the cost of 47.2 m cloth if the cost of 1 m cloth is $33.90
Answer: 1600.08
Step-by-step explanation:
47.2m*33.90
Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39. What was the percent increase in Patti’s hourly wage? A 1.8% C 18% B 15.25% D 189%
Answer:
1.8 %
Step-by-step explanation:
Subtract $10.50 from $12.30 and you will get 1.8.
Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.
*I hope this helped :)
The percentage increase in Patti’s hourly wage will be 1.8%
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
It is given that Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39.
The percentage change will be calculated as:-
Subtract $10.50 from $12.30 and you will get 1.8. Then divide 1.8 by 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.
Percentage change = ( 12.39 - 10.50 ) / 10.50
Percentage change = 1.89 / 100
Percentage change = 0.018 x 100 = 1.8%
Therefore, the percentage increase in Patti’s hourly wage will be 1.8%
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