Answer:
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
Step-by-step explanation:
The number pounds of the mixture = 10
Let the number of pounds peanuts = x
Let the number of pounds cashews = y
Let the number of pounds raisins be equal to z
Hence,
x + y + z = 10
The mixture has twice as many peanuts as cashews.
2y= x
= 2y + y + z = 10
= 3y + z = 10
z = 10 - 3y
Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.
x × $1 + y × $2 × z × $2 = $16
x + 2y + 2z = 16......Equation 2
We Substitute.(2y = x), (z = 10 - 3y)
2y + 2y + 2(10 - 3y) = 16
4y + 20 - 6y = 16
20 - 16 = 6y - 4y
4 = 2y
y = 4/2
y = 2 pounds
z = 10 - 3y
z = 10 - 3(2)
z = 10 - 6
z = 4 pounds
2y= x
2(2) = x
x = 4 pounds
How much of each ingredient did the store use to make the mixture?
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the total number of souvenirs he buys. How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
Answer:
12 days
Step-by-step explanation:
Given:
s = d
Where,
d = number of days he spends on vacation
s = total number of souvenirs he buys
How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
s = 12
Since,
s = d
Then,
12 = d
Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs
Please help me out!!! :)
How can you look at the equation of two lines and determine if they will be parallel?
Answer:
fafg and then do the 2a ab 2b
Step-by-step explanation:
Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:
A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.
Answer:
His conjecture is not logical.
Step-by-step explanation:
If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.
Find the term named in the problem.
-21, - 13, -5, 3, ...
Find a23
a(n) = a(1) + ( n - 1 ) × d
a(23) = -21 + ( 23 - 1 ) × 8
a(23) = -21 + ( 22 ) × 8
a(23) = -21 + 176
a(23) = 155
And we're done....
♥️♥️♥️♥️♥️
1.4142 / 2 (must show work)
Answer:
2.378
Step-by-step explanation:
please help!!
Find the measure of angle Q and length of QR.
The perimeter of QRS is 344 cm. m
QR= _______
Answer:
[tex]m\angle {Q}[/tex] = 56°
QR = 167
y = 136
Step-by-step explanation:
Solve for indicated variable 4y + 3x= 5 for x
Answer:
4y + 15
Step-by-step explanation:
Turn this into numerical form -> one-half the sum of x and 12
Answer: 1/2(x+12)
Step-by-step explanation:
1. Write the equation of a line parallel to y = -2x + 10 that passes through point (2, 4).
Answer:
y - 4= -2(x - 2)
Step-by-step explanation:
(This answer is in point slope form, if you need the answer in a different form like slope intercept, you would have to distribute the negative 2 and bring the negative 4 to the right side.)
So, you know the line is parallel to the equation y= -2x + 10. We know that parallel lines must have the same slope, so the answer will have a slope of negative 2. Because they have given you a point that the line passes through, we are going to put the answer in point slope form. we know a point and we know the slope, hence it is called point-slope.
Point slope form is y - y₁ = m(x - x₁). The m stands for the slope, and the x₁ and y₁ is where you will plug in the x and y coordinates (2,4) .
So to plug in the numbers into point slope form it would be y - 4 = -2 (x - 2). hope this helped :)
7(n+4)=21 what is n?
Answer:
-1
Step-by-step explanation:
divide both sides by 7 and you will get (n+4)=3
then subtract 4 on both sides and get n is equal to -1
Answer:
-1
Step-by-step explanation:
Solve for x.
9x+4≤58 or 16x−2>3
x 30
x 30
Answer:
x ≤ 6
Step-by-step explanation:
Hope this helps!
What is the slope of line p
You practice playing your guitar every day. You spend 15 minutes practicing chords and the rest of the time practicing a new song. So the total number of minutes y you practice for the week is given by y=7(15+x), where x is the number of minutes you spend on practicing a new song. Solve the equation for x.
Answer:
x=(y-105)/7Step-by-step explanation:
Given that the total time taken to practice is given by the expression as
y=7(15+x)
Simplifying the expression we have
y=105+7x
Solving for x (that is making x subject of formula we have)
7x=y-105
Divide both sides by 7 we have
x=(y-105)/7
Therefore the expression is
x=(y-105)/7
Help!!!!!!!!!!!!!!!!Will mark BRAINLIEST
Answer:
Step-by-step explanation:
1. true
2. true
3. false ( pie chart )
4. true
5. false ( y axis )
6. true
7. true
Hope this helps
plz mark as brainliest!!!!!!
Alyssa is paid a 5 percent commission on her total sales each month. Last month, she sold $30,000 worth of items. After a state tax rate of 9 percent is deducted from her commission, how much is left to the nearest dollar?
$135
$150
$1,365
$1,500
Answer:
c
Step-by-step explanation:
bc
Divide. Write the quotient in lowest terms.
2 3/4 divided by 3
Factor completely by grouping.
x^3 + 7x^2 + 9x + 63
Answer:
(x+7)(x2+9)
Step-by-step explanation:
Answer: x^3+ 261x +63
Step-by-step explanation:
Multiply the polynomials (3x+4)(5x+1)
Answer:
15x^2 + 23x + 4
Step-by-step explanation:
(3x+4)(5x+1)
You put them around a square, like in the picture.
You then cross multiply them.
After that, add all the numbers together.
Hope this helped!
Are the following ratios equivalent? Explain.
2:10
6:60
Answer:
No
Step-by-step explanation:
it would 12:60
6x2=12
6x10=60
Answer:
they are not equivalent
Step-by-step explanation:
7 : 35
12 : 60
17 : 85
22 : 110
hear are ratios that are equivalent to 2:10
A movie theater has two rooms. Room A has 7 rows of seats with 21 seats in each row. Room B has four times as many seats as Room A. How many seats are there in both rooms?
Answer:
588
Step-by-step explanation:
Because 7x21=147 then you take 147x4 and that equals 588 seats
A mug contains 20 fluid ounces of coffee.
How many pints of coffee does the mug contain?
Enter your answer as a decimal in the box.
Answer:
1.25 pints
Step-by-step explanation:
gallon king!!!
1 gallon king has 4 queens (4 quarts)
1 queen (quart) has a 2 princes (pints)
1 prince has 2 cats (cups)
one cup has 8 oz
put it all together:
2 and 1/2 cups
2 cups = 1 pint
1 pint and 1/2 cup
1/2 cup is 1/4 of a pint
sooo... it's 1.25 pints!
(x - 9) (x + 1)
Use F.O.I.L to expand
ok f.o.i.l
Farting.On.Iggy.Lucky
Answer:
x²-8x-9 i think?
Step-by-step explanation:
please help asap!!! will give brainliest answer
Answer:
Angle AOB and angle DOC are identical because they share 2 parallels considering it is a bisection
Step-by-step explanation:
2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.
Answer:
x=20-y
y=20-x
Step-by-step explanation:
divide by 2 on both sides: x+y=20
to find x, subtract y:
x=20-y
to find y, subtract x:
y=20-x
nothing else can be done unless you know either y or x.
PLEASE HELP MEEEEE!!!!!!!
Answer:
Cheese: [tex]4\frac{3}{8}[/tex] Milk: [tex]1\frac{2}{3}[/tex] Pasta: [tex]6\frac{1}{4}[/tex]Step-by-step explanation:
Cheese:
[tex]1\frac{3}{4} = \frac{7}{4}[/tex] Set up a proportion: [tex]\frac{\frac{7}{4} }{4} = \frac{x}{10}[/tex] Cross multiply, then divide: 10 × 7/4 = 17.5, 17.5 ÷ 4 = 4.375[tex]4.375 = 4\frac{3}{8}[/tex]Milk:
Set up a proportion: [tex]\frac{\frac{2}{3} }{4} = \frac{x}{10}[/tex] Cross multiply, then divide: 10 × 2/3 = [tex]6\frac{2}{3}[/tex], [tex]6\frac{2}{3}[/tex] ÷ 4 = [tex]1\frac{2}{3}[/tex]Pasta:
[tex]2\frac{1}{2} = \frac{5}{2}[/tex] Set up a proportion: [tex]\frac{\frac{5}{2} }{4} = \frac{x}{10}[/tex] Cross multiply, then divide: 10 × 5/2 = 25, 25 ÷ 4 = 6.25[tex]6.25 = 6\frac{1}{4}[/tex]I hope this helps!
19 points Solve for c. 5/4c+12=2
Answer:
C= -8
Step-by-step explanation:
I used a calculator
Answer:
c=-8
Step-by-step explanation:
[tex]\frac{5}{4}c[/tex] + 12 = 2
1.25c + 12 = 2 ( change 5/4 to a decimal for easy understading)
1.25c + 12 - 12 = 2 - 12 ( isolate the variable rememebr whatever you do to the right do it to the left )
1.25c = -10
1.25c / 1.25 = -10 / 1.25 (divide both sides by 1.25 )
c = -8
HOPE IT HELPED
x-14<-6x+7≤13 solve for x
Answer:
−1 ≤ x < 3
Step-by-step explanation:
Solve the system of inequalities.
X must be equal to or greater then -1 and smaller then 3.
You options are -1, 0, 1, & 2
Y – 9.9 = 6.4
What are the steps to solve this and the answer
to be honest I'm looking for the delay but if they are not going through it and it will work and I am going through it.
The other answer on the red box is 7.
Answer:
8
Step-by-step explanation:
that is an isosceles triangle. they have 2 sides that are the same
8*4 is 32+7 is 39
9*8 is 72-33 is 39
Please help!!!
Geometry
Answer:
estimately 10.3
Step-by-step explanation: