Kiran says, "I bought 2.5 pounds of red and yellow lentils. Both were $1.80 per pound. I spent a total of $4.05." Write a system of equations to describe the relationships between the quantities in Kiran's statement. Let x represent red lentils and let y represent yellow lentils.
Answer:
The system of equations is given as:
x + y = 2.5 .... Equation 1
1.8x + 1.8y = 4.05....Equation 2
Step-by-step explanation:
Kiran says, "I bought 2.5 pounds of red and yellow lentils. Both were $1.80 per pound. I spent a total of $4.05
Let
x represent red lentils
y represent yellow lentils.
x + y = 2.5 .... Equation 1
x = 2.5 - y
$1.80 × x + $1.80 × y = $4.05
1.80x + 1.80y = 4.05....Equation 2
The system of equations is given as:
x + y = 2.5 .... Equation 1
1.8x + 1.8y = 4.05....Equation 2
4.
Which two steps should be used first in solving the system of equations by substitution?
A:Substitute 9 for y in the first equation and then solve the other equation for x.
B:Solve the second equation for y and then substitute this value into the first equation.
C:Subtract the terms in the second equation from the first equation and then solve for y
D:Multiply the first equation by 4 and the second equation by 2.
Answer:
B because that is how you do substitution and all of the other ones do not make sense
find values of x and y??
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Answer:
x = 80y = 122Step-by-step explanation:
The angles marked with x-expressions are complementary, so ...
(3/4x -2) + (2/5x) = 90
x(3/4+2/5) = 92 . . . . . . . add 2
x(23/20) = 92 . . . . . . . . combine the fractions
x = 92(20/23) . . . . . . . . multiply by 20/23
x = 80
__
The angle marked y° is a vertical angle with the angle that is the sum of 90° and (2/5x)°. So, the value of y is ...
y = 90 + 2/5(x) = 90 +2/5(80) = 90 +32
y = 122
What are two fractions that are equivalent to 5/20?
The cost for 25 square yards of carpet is $650 including delivery and installation. The cost for 40 square yards of installed carpet is $950. Write an equation in slope-intercept form (y = mx + b) for the cost of the installed carpet
Answer:
The equation is;
y = 20x + 150
Step-by-step explanation:
Firstly, let us identify the coordinates
(area, cost of area)
We start by getting the points;
(25,650) and (40,950)
The slope will be;
m = (y2-y2)/(x2-x1)
m = (950-650)/(40-25)
m = 300/15 = 20
So the partial equation is;
y = 20x + c
To get the value of c which is the y-intercept, we make use of any of the two points
650 = 20(25) + c
650 = 500 + c
c = 650-500
c = 150
HELPPP PLEASEEEE!!!!
Answer: $6.04
Step-by-step explanation:
add 65.25 and 86.50 you get 151.75 then do 157.79-151.75 and you get 6.04
Find the inverse of y = - 1/2x - 5
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Answer:
f^-1(x) = -2(x +5)
Step-by-step explanation:
Solve for x.
y +5 = -1/2x . . . . . add 5
-2(y +5) = x . . . . . multiply by -2
If you want this in "functional form", you can write it as ...
f^-1(x) = -2(x +5) . . . . . swap x and y, then use f^-1(x) for y
If Sawyer charges $20 per bottle of water and a flat fee of $25 even to discuss a sale, which of the following equations expresses Sawyer's total fees for "X" bottles of water? * A. y = 25x + 20 B. y = 20x + 25 C.y = 45x D.y = x + 25
Answer:
y =20 x + 25 (answer B in the list of options)
Step-by-step explanation:
y = 25 + 20 x = 20 x + 25
being 25 the flat fee and 20 the price per bottle
Answer:
B. y = 20x + 25
Step-by-step explanation:
The flat fee of $25 is our b, and the fee of $20 is our m. When we put this in slope intercept form, it looks like y = 20x + 25. That means B is the correct answer.
Someone help plz I need some help I don’t like slope!!!
Answer:
slope = 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, - 3) and (x₂, y₂ ) = (- 3, 2) ← 2 points on the line
m = [tex]\frac{2-(-3)}{-3-(-4)}[/tex] = [tex]\frac{2+3}{-3+4}[/tex] = [tex]\frac{5}{1}[/tex] = 5
If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take π = 22 /7 )
wat great is this this is so hard i traid
Find the value of x
x = __
Answer:
x=9
Step-by-step explanation:
By the Isosceles Triangle Theorem the angles opposite to the congruent angles in an isosceles triangle are congruent.
So 2x-10=8
x=9
{(-3,-8), (-2, - 12), (-1,-11), (0, - 7), (1,-6)}
Answer:
whats question ?
Step-by-step explanation:
Question 1 (Multiple Choice Worth 5 points)
(04.01) Which unit rate is equivalent to 17 miles per gallon?
3 gallons
51 miles
51 miles
3 gallons
34 miles
4 gallons
4 gallons
34 miles
Answer:
B?
Step-by-step explanation:
What is the multiple choice here? I can only assume that it meant 51 miles/ 3 gallons but I can't be certain.
Which of these expressions CANNOT be simplified by combining like terms? 53+7−322+3−10 53+322+3−10 53+2(32)+3−10 533+322+33−10
Answer:
53+2(32)+3-10
Step-by-step explanation:
you can't move the 32 from 2(32)
Harold Crispen worked Monday, Tuesday, and Thursday from 9:00 A.M. to 4:30 P.M. with a half hour lunch each day. What were his total hours worked? 21 22.5 30 28
Answer:
His total hours he worked is;
21
Step-by-step explanation:
The of hours between 9:00 A.M. and 4:30 P.M. are;
[tex]\begin{array}{ccc}From \ 9:00 \, A.M. & to \ 10:00\, A.M. & = 1 \, Hour\\From \ 10:00 \, A.M. & to \ 11:00\, A.M. & = 1 \, Hour\\From \ 11:00 \, A.M. & to \ 12:00 \, P.M. & = 1 \, Hour\\From \ 12:00 \, P.M. & to \ 1:00 \, P.M. & = 1 \,Hour\\From \ 1:00 \, P.M. & to \ 2:00 \, P.M. & = 1 \,Hour\\From \ 2:00 \, P.M. & to \ 3:00 \, P.M. & = 1 \,Hour\\From \ 3:00 \, P.M. & to \ 4:00 \, P.M. & = 1 \,Hour\\From \ 4:00 \, P.M. & to \ 4:30 \, P.M. & = 0.5 \, Hour \end{array}[/tex]
Sum of the hours Harold Crispen spends at the workplace on a workday = (1 + 1 + 1 + 1 + 1 + 1 + 1 + 0.5) hours = 7.5 hours
The time Harold Crispen take for launch each workday = 0.5 hour
The number of hours Harold Crispen spend working each day = (7.5 - 0.5) hour
The number of hours Harold Crispen spend working each day = 7.0 hours/day
The number of days he worked = Monday + Tuesday + Thursday = 3 days
The total hours he worked = (The number of hours he works each day) × (The number of days he worked)
His total hours he worked = 7.0 hours/day × 3 days = 21.0 hours.
MARK BRAINLIEST!!!
They raised x dollars last year this year the raised $50 less than twice the amount raised last year. Which expression represents the amount they raised this year?
2x+50
2(50)+x
50x-2
2x-50
A car travels 374 meters in 17 seconds. A bud travels 415?meters in 23 seconds. Which vehicle is traveling faster? How much faster?
Answer: Distance traveled in one second by car = 374 ÷ 17= 22 meters
Step-by-step explanation:
Distance traveled by bus in one second = 414 ÷ 23 = 18 meters. Car travels faster. It travels 4 meter more in one second than Bus.
Help please if I forget to attach picture DO NOT ANSWER
Answer:
-235
Step-by-step explanation:
hope that helps :)))
I need to know this 48 ÷ 5
Answer: 9.6 would be the correct answer.
Answer:
9.6
Step-by-step explanation:
I used a calculator
Hope this helps. Have a nice day you amazing bean child.
y = 19x when x = 2
Thank you❤️
Answer:38
Step-by-step explanation:y= 19x
y=19(2)
y=38
You plug in x as 2 since when x=2 .and u do 19 times 2 which gives you 38 .
Hope it helps u ;)
track team ran 8 in one day? miles (mi) in 5 days. If they ran the same distance each day, how far did they run?
Answer:
d = 1.75 miles
Step-by-step explanation:
A track team ran 8 and 3/4 miles in 5 days.
We need to find the distance covered by it each day. Let the distance is d.
[tex]8\dfrac{3}{4}[/tex] miles in 5 days
or
[tex]\dfrac{35}{4}[/tex] miles in 5 days.
[tex]1\ day=\dfrac{\dfrac{35}{4}}{5}\\\\=1.75\ \text{miles}[/tex]
So, each day the team will cover 1.75 miles.
6. Solve for the variable in the following proportion: 45 g = 5/1
Answer:
g=9
Step-by-step explanation:
assuming you actually meant 45/g, then it would be 5g=45
A handful of coins has the value of 1 dollar and 79 cents. There are three times as many dimes as quarters, and five more pennies than dimes. If there are only three types of coins, how many coins of each type are there?
Answer: There are 3 quarters , 9 dimes and 14 pennies.
Step-by-step explanation:
Let x= Number of quarters
Then, Number of dimes = 3x
Number of pennies = 3x+5
1 quarter = $ 0.25
1 dime = $0.10
1 penny = $ 0.01
So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)
= 0.25x+0.30x+ 0.03x+0.05
= 0.58x+0.05
Since Total amount = 1 dollar and 79 cents = $ 1.79 [1 cent = $ 0.01]
So,
[tex]0.58x+0.05=1.79\\\\\Rightarrow\ 0.58x= 1.74\\\\\Rightarrow x=\dfrac{1.74}{0.58}\\\\\Rightarrow x=3[/tex]
Thus, there are 3 quarters , 9 dimes , 14 pennies.
Answer:
Step-by-step explanation:
there are 3 quarters , 9 dimes , 14 pennies.
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning
Answer:
260
Step-by-step explanation:
Answer:
the answer is 360
there are 100% in total but only 40% like hip-hop
40%=100 meaning 60%=260
also meaning 100%= 360
HELLLLLPPPPPPPPPPPPPPPPPPP
Answer:
its D
Step-by-step explanation:
i took the quiz dont listen to the othr guy
Anyone know the answer?!
Answer:
down 2, right 1
Step-by-step explanation:
Here, we want to know what -2 means for the slope
The following conventions are necessary to be known;
down is negative
left is negative
up is positive
right is positive
Thus;
Since the slope is actually vertical change/ horizontal;
The 2 value must be in respect to the y-axis
Hence;
up 2 right 1 is positive
down 2 left 1 is positive since both are negatives
The correct answer is thus;
down 2, right 1
pls help
what number makes this equation true
_÷3=6
Answer:
18
Step-by-step explanation:
brainliest plsssssssss
Answer:
18
Step-by-step explanation:
Someone deleted my first answer :(
Please answer the question. (Giving Brainliest To However Answers Good)
What product is shown by the model. (15 Points)
Answer:
100
Step-by-step explanation:
So in this problem, we have 5 base 10 blocks and 50 ones.
To find out the product we have to count by tens:
10, 20, 30, 40, 50
So 5 base 10 blocks = 50
Now we add the base ten blocks and the ones together:
50 + 50 = 100
So the answer is 100
Can someone please help me?
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Answer:
[tex]\dfrac{5}{2}\left(k-\dfrac{4}{5}\right)[/tex]
Step-by-step explanation:
When you factor out 5/2, each term gets divided by 5/2. Equivalently, each term is multiplied by 2/5.
[tex]\dfrac{5}{2}k-2=\dfrac{5}{2}\cdot\dfrac{2}{5}\left(\dfrac{5}{2}k-2\right)=\dfrac{5}{2}\left(\dfrac{2}{5}\cdot\dfrac{5}{2}k-\dfrac{2}{5}\cdot2\right)\\\\ =\boxed{\dfrac{5}{2}\left(k-\dfrac{4}{5}\right)}[/tex]
complete the table of values for x+y=6
So:
X=-2 and Y=8
X=-1 and Y=7
X=0 and Y=6
X=1 and Y=5
X=2 and Y=4
BUT
What does this equal:
X=3 and Y=
What does Y equal if X is 3?
Please help me
No picture included
Answer:
3
Step-by-step explanation:
What we can see from your table is that as x goes up by 1 y goes down by one
This means that the slope is -x
We also see that when x=0 y=6 which means that the y intercept is 6
this means your equation is
-x+6
We can now plug in x for 3 and get
-3+6=y
y=3
the answer is 3