Answer:
Variable x = $2.39 ⇒ price of 1 pound of cashews
Variable y = $1.79 ⇒ price of 1 pound of peanuts
Step-by-step explanation:
Assume that the price of each pound of cashews is $x and the price of each pound of peanuts is $y
∵ The price of 1 pound of cashews = x
∵ The price of 1 pound of peanuts = y
∵ 5 pounds of cashews and 8 pounds of peanuts cost $26.27
∴ 5x + 8y = 26.27 ⇒ (1)
∵ 7 pounds of cashews and 4 pounds of peanuts cost $23.89
∴ 7x + 4y = 23.89 ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (2) by -2 to make the coefficients of y equal
in values and different in signs
∵ -2(7x) + -2(4y) = -2(23.89)
∴ -14x - 8y = -47.78 ⇒ (3)
→ Add equations (1) and (3) to eliminate y
∵ (5x + -14x) + (8y + - 8y) = (26.27 + -47.78)
∴ -9x = -21.51
→ Divide both sides by -9 to find x
∴ x = 2.39
→ Substitute x in equation (1) or (2) to find y
∵ 5(2.39) + 8y = 26.27
∴ 11.95 + 8y = 26.27
→ Subtract 11.95 from both sides
∴ 8y = 14.32
→ Divide both sides by 8 to find y
∴ y = 1.79
∴ The price of 1 pound of cashews is $2.39
∴ The price of 1 pound of peanuts is $1.79
Two parallel lines are crossed by a traversal. What is the value of h?
h=60
h=80
h=100
h=120
Answer:
h=60
Step-by-step explanation:
The angle that is 120 degrees and the angle that is h degrees are called same side interior angles
Same side interior angles are supplementary, meaning that they add to 180 degrees
To find h we can use Measures addition postulate to find the unknown value h
h+120=180
h=60
Please help with these 2 questions :(( I really will appreciate it a lot
Answer:
c
Step-by-step explanation
DO NOT CHANGE YOU ANSWER. it is perfectly fine
pls mark brainliest
the sum in the form a(b+c) such that the integers band chave no common factor.
99 +33
Answer:
33(3+1)
Step-by-step explanation:
Find the GCF of 99 and 33
99=3^2•1133=3•11So the GCF is 3•11=33Factor 33 out
33(3+1)Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
7x+3 = 8x +1
x=2
the answer is 2
Please help. I’ll give brainliest
Answer:
x > -5
Step-by-step explanation:
Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like reading mystery stories, the number of students at the library who liked mystery stories was _____. (only put numeric values, no other symbols)
Answer:
The first thing we must do is find the percentage of students who do not like to read mystery stories.
We have then:
Then, to find the number of students who like to read mystery stories, we can make the following rule of three:
15% ----------------> 30 students
85% ----------------> x
From here, we clear the value of x.
We have then:
the number of students at the library who liked mystery stories was 170
1) Mark's new car can drive 725 miles in 8
hours. How many miles can Mark's car drive in
an hour? How many miles can his car drive in
3 hours?
Answer: 271 miles
Step-by-step explanation:725÷8 to find the MPH which is 90.625. Then
multiply 90.625 by 3 which is 271.
Are the roots of equation 4x^2-4x+1=0 is imaginary
Answer:
NO
Step-by-step explanation:
[tex]4x^{2} -4x+1=0\\(2x-1)(2x-1)=0\\x=1/2[/tex]
What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8
Answer:
Step-by-step explanation:
1. (–0.5)(–1.2)(–5.22)= -3.132
Answer:
B
Step-by-step explanation:
HELP please i'll give brainliest I only have until 3 to finish this
Answer:
B
Step-by-step explanation:
The ratios are 2:1
In the table it shows 4:2, 8:x, y:6, 20:z
To find if the ratios are equivalent we would need to plug in
Once plugging in answer B we get 4:2, 8:4, 12:6, 20:10 which would all equate to 2:1
Answer:
Its B
Step-by-step explanation:
Which expression is the same as 2 (4-7m)?
A) 6-9m
B)6+9m
C)8-14m
D)8+14m
Answer:
The answer would be c) 8-14m
Answer:
C: 8-14m
Step-by-step explanation:
2(4-7m) = 8 - 14m
find this by distributing the 2 into the parenthesis: 2 * 4 and 2* -7m to get 8 and -7m
if there are 90 calories in 3/4 of yogurt, how many calories are in 3 cups of yogurt?
Answer:
360
Step-by-step explanation:
3 divided by 3/4=3 times 4/3=4
4 times 90=360
how many cups are in 3 liters 1 L = 4.2 cups
Answer:
12.6 cups
Step-by-step explanation:
each liter has 4.2 cups so if you just multiply it by 3 you will get 12.6. cups.
In isosceles ABC, AB=AC. if B=55,calculate A
Answer:
Two base angles of an isosceles triangles are equal.
55 + 55 + a = 180
110 + a = 180
a = 180-110
a = 70
What is the quotient?
-4/5 *2
HELP PLEASE
Answer:
The answer is 4/25 or 0.16.
Step-by-step explanation:
If the astrick is meant for a square root, then yes that is the answer.
What is the slope for 3y+6x=9
Answer:
The slope is -2!
Step-by-step explanation:
Lets Solve!
3y +6x = 9
First we subtract 6x from both sides
3y = -6x + 9
Next we divide by 3 from both sides.
y = -2x + 3
The slope is -2!
This is the last one, can u help me
Answer:
B
Step-by-step explanation:
Answer:
B) SAS
Step-by-step explanation:
The side is marked equal, they are both 90 degrees and they share a side. Side Angle Side.
11/6 = 1/3 + p
(Find the common denominator first.)
Answer:
p = 3/2
Step-by-step explanation:
Which statement is true about the equations –3x + 4y = 12 and x - y = 1?
A. The system of the equations has exactly one solution at (-8, 3).
B. The system of the equations has exactly one solution at (-4, 3).
C. The system of the equations has no solution, the two lines are parallel.
D. The system of the equations has an infinite number of solutions represented by either equation.
Answer:
b.the system of the equations has exactly one solution at(-4.3).
Which equation represents a line that is perpendicular to y=x?
A.
y=2x
B.
y=−x+6
C.
y=−2x
D.
y=x+1
Answer:
B
Step-by-step explanation:
The general equation of a straight line can be represented as;
y = mx + b
where m is slope
If two lines are perpendicular, the product of their slopes will be -1
So since the slope of the first line is 1, then the slope of the second line will be -1
Out of all the options, only have its slope as -1 and this y = -x + 6 and this is our answer
Two containers P and Q are filled with different amounts of water. Each container has a small hole. The graph shows the amount of water, V milliliters, left in each container after x minutes.
Explain what the y-intercept means in this scenario.
Answer:
Step-by-step explanation:
Equation of the line for container O and container P will be in the form of,
y = mx + b
Here m = slope of the line = Change in amount of water per minute
b = y-intercept
From the graph attached,
y-intercept 'b' represents the initial amount of water in the container.
For container O, initial amount of water in the container is 1000 mL.
Similarly, initial amount in the container is 900 mL.
PLEASEEE HELPPPP ASAPPPPP
Answer:
70
Step-by-step explanation:
For f(-4)=5(2-3(-4))=5(2+12) because - times - makes +
Therefore 5x2=10 + 5x12=60
10+60=70
If E[5X - 10) = 60, what is E[X]?
Step-by-step explanation:
here,
1o
so X is equal to 10
Compare the numbers
Answer:The answer is ≥ greater than or equal to
can you mark me Brainliest please
Find the Slope.
(2, 8) and (4, -3)
pls help Solve for m. -7+4m+10=15-2m
Answer:
m=2
Step-by-step explanation:
Answer:
[tex]m=2[/tex]
Step-by-step explanation:
[tex]-7+4m+10=15-2m[/tex]
Isolate the variable m. Combine like terms (-7+10):
[tex]3+4m=15-2m[/tex]
Subtract 3 from both sides (inverse operations):
[tex]3-3+4m=15-3-2m\\\\4m=12-2m[/tex]
Add 2m to both sides (inverse operations):
[tex]4m+2m=12-2m+2m\\\\6m=12[/tex]
Divide both sides by 6 to isolate m (inverse operations):
[tex]\frac{6m}{6} =\frac{12}{6} \\\\m=2[/tex]
Since this cannot be further simplified, m is equal to 2.
:Done
i kinda understand this but not really and i really need the ec points.
Answer:
the c
Step-by-step explanation:
Answer: Point C
It is not a factor of 2 because 3 aint
Which ones are functions and which ones aren't?
Answer:
1. A is function.
2. A, is function
3. B is function.
Step-by-step explanation:
Hope it helps.
Answer:
1) B
2) A
3) B
Step-by-step explanation:
In a function... no value can be repeated in the domain
This is especially easy to discern in graphs because of the Horizontal Line Test
y=−2x+9 write in standard form
Answer:
2 x − y = − 9
Step-by-step explanation:
I am not 100% sure but I think this is right.
Answer:
Step-by-step explanation:
2x+y=9
need 3 equivalent ratios for 22:55
Answer:
look below
Step-by-step explanation:
2:5
44:110
66:165