Answer:
50.88
Step-by-step explanation:
dried apples,raisins and peanuts. One pound of the mixture is $3.18
it contains twice as much peanuts by weight than apples.
:
One pound of dried apples cost $4.48, a pound of raisins cost $2.40 and
a pound of peanuts is $ 3.44.
:
How many ounces of each ingredient are contained in one pound of the trail mix?
:
Here it is, step-by-step
:
Let a = no. of oz of apples
Let r = no. of oz of raisins
Let p = no. of oz of peanuts
:
The equation:
4.48a + 2.40r + 3.44p = 3.18(16)
:
It says p = 2a, substitute 2a for p
4.48a + 2.40r + 3.44(2a) = 3.18(16)
:
4.48a + 2.40r + 6.88a = 50.88
:
4.48a + 6.88a + 2.40r = 50.88
:
11.36a + 2.40r = 50.88
:
At this point we can say: r = (16-3a), a represents apples & peanuts here.
Substitute (16-3a) for r, solve for a;
11.36a + 2.40(16-3a) = 50.88
:
11.36a + 38.40 - 7.2a = 50.88
:
11.36a - 7.2a = 50.88 - 38.40
:
4.16a = 12.48
a = 12.48%2F4.16
a = 3 oz dried apples
then
P = 2(3)
P = 6 oz of peanuts
:
Find r:
r = 16 - 3 - 6
r = 7 oz of raisins
;
:
Check these values for a, r, p in the cost equation
4.48(3) + 2.40(7) + 3.44(6) = 3.18(16)
13.44 + 16.8 + 20.64 = 50.88; confirms our solutions
3 ounce of dried apples, 7 ounce of raisins and 6 ounce of peanuts are contained in 1 pound of the trail mix
What is Algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.
Given:
Dried apples, raisins and peanuts.
One pound of the mixture is $3.18
it contains twice as much peanuts by weight than apples.
One pound of dried apples cost = $4.48,
raisins cost = $2.40
peanuts cost = $ 3.44.
Let x be number of oz of apples
Let y be number of oz of raisins
Let z be number of oz of peanuts
So, the equation can be written as
4.48x + 2.40y + 3.44z = 3.18(16)
As, z = 2x,
4.48x + 2.40y + 3.44(2x) = 3.18(16)
4.48x + 2.40y + 6.88x = 50.88
4.48x + 6.88x + 2.40y = 50.88
11.36x + 2.40y = 50.88
Also, y= (16-3a)
11.36x + 2.40(16-3x) = 50.88
11.36x + 38.40 - 7.2x= 50.88
11.36x - 7.2x = 50.88 - 38.40
4.16x = 12.48
x = 12.48 / 4.16
x = 3
and, z = 2(3)
z = 6
Similarly, y = 16 - 3 - 6
y = 7
Hence, 3 ounce of dried apples, 7 ounce of raisins and 6 ounce of peanuts.
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If you were viewing this weather symbol, what type of weather conditions would you expect to find in the area? A Days of gray skies behind the front b Thunderstorms along the front c A period of sunny skies along the front d Humid air conditions behind the front
Incomplete question. However, I provided general sample image descriptions of each weather condition as found on the ownyourweather website.
Explanation:
1. The first weather symbol is often used to represent days of gray skies behind the front.
2. The second weather symbol represents expected Thunderstorms along the front.
3. The third weather symbol indicates a period of sunny skies along the front.
4. The third weather symbol is associated with Humid air conditions behind the front.
Which line coincides with y= 4x + 2?
Answer:
D. 8x - 2y = -4
Step-by-step explanation:
The line that coincides with the line represented by the equation, y = 4x + 2, is the line that has an equation that is equivalent to y = 4x + 2, or the line whose equation has the same slope (m) and y-intercept (b) as the line represented by the equation, y = 4x + 2.
A line equation is in the form of slope-intercept, is given as y = mx + b.
Thus,
The slope (m) of the line equation, y = 4x + 2, is 4, while it's y-intercept (b) is 2.
Compare each given option of line equation in their slope-intercept form, and check out which one has the same slope and y-intercept as y = 4x + 2, or has an equation equivalent to it.
Option 1: y = -4x + 2
Here, the slope (b) is -4, and y-intercept (b) is 2. This line doesn't coincide with y = 4x + 2.
Option 2: y = 4x - 2.
The slope (m) is 4, and the y-intercept (b) is -2. This line doesn't coincide with y = 4x + 2.
Option 3: 4y = x + 8
Convert to slope-intercept form
4y/4= (x + 8)/4
y = x/4 + 8/4
y = ¼x + 2
The slope is ¼. The y-intercept is 2.
This line doesn't coincide with y = 4x + 2.
Option 4: 8x - 2y = -4
Convert to slope-intercept form.
8x - 2y - 8x = -4 - 8x
-2y = - 4 - 8x
-2y/-2 = (-4 - 8x)/-2
y = -4/-2 - 8x/-2
y = 2 + 4x
y = 4x + 2
The slope is 4 and the y-intercept is 2. Therefore, 8x - 2y = -4 coincides with y = 4x + 2.
HELP PLEASE ASAP ASAP
Step-by-step explanation:
(-4,-3) thats the right answer
Solve the literal equation x - 2z = 45 for x
im supposed to solve this and usually ive been getting more slow at math and i used to be really great at it until my mind started flooding with thoughts and other things ever since i started getting into anime anyway the question i need to solve is -2(-4x - 8 - 3y) and i need someone to explain how i can use the distributive property to simplify it in an easy way
Answer:
8x+16+6y
Step-by-step explanation:
-2(-4x-8-3y)
Because there is no sign before the parentheses, you have to multiply -2 by everything in the parentheses:
8x+16+6y
There are no minus signs anymore because -- (minus minus) wouldn't make sense and -÷-=+ (negative÷negative=positive)
I don't think you can solve 8x+16+6y, you can only simplify.
I'm really sorry if I'm wrong, but this took me 10 minutes. Good luck :)
A triangle has an angle that measures 90°. What type of triangle could it be? (Choose all that apply)
Answer:
Right angle triangle
Step-by-step explanation:
If any one angle of a triangle is 90, then it is a right angle triangle
order from least to greatest √2, 2π, 1.5
Answer:
Step-by-step explanation:
√2, 1.5, 2π.
12 The price of a house is originally listed at $120,000. The owners are having a hard time selling it and decide to reduce the price to $110,400. What is the percentage decrease of the price of the house? OA. 92% OB. 0.8% OC. 9.6% OD. 8%
Answer: 8 percent
Step-by-step explanation:
120,000 - 110,400 = 9,600
9,600/120,000 = 0.08
0.08 * 100 = 8 percent
Answer:
D:8%
Step-by-step explanation:
If your starting value is $120,000 then it is marked down to $110,400 then the difference between the two is $9,600. Taking this value and dividing it by the starting value gives you the percentage. The number your calculator spits out is 0.08, so reading as a decimal, it is an 8% markdown.
4. Denise thinks of a number, multiplies by 7, and then subtracts 2 from the 5 points
result. If the number Denise thinks of is represented by t, how can this be
written using algebra
Answer:
(t x 7) 5 - 2
Step-by-step explanation:
I think that is how it would look, I hope it helps!
Write a linear function f with f(2)= –2 and f(1) =1.
f(x) =
Answer - the answer should be:
-3x+4
down below is how i did it,
Step-by-step explanation:
use the formula mx+b=y
y is f(x)
m = -3
x = x
b = 4
so,
mx+b is -3x+4
Answer:
f(x)=-3x+4
Step-by-step explanation:
Slope= -3
(1-(-2))/(1-2)=3/-1= -3
Y-intercept= 4
123 degrees and 3x degrees what is the value of x
Not an answer:
do you have a picture?
Answer: I think x is 41. 123 divided by 3 is 41
Step-by-step explanation:
Kyle caught 9 insects for his science project in the first week. He caught 13 insects in the second week. What is the percent increase in the number of insects Kyle caught from the first week to the second week? Round your answer to the nearest whole number
pleaseeeee
Answer:
44%
Step-by-step explanation:
The percent increase would be calculated as the increase in insects caught divided by the original number of insects caught from the first week:
13-9 = 4 more insects caught.
4/9 = .44444
When doing percentages we multiply the decimal by 100, or move it over two places to the right, so it will be 44.4%
Numbers 4 and under round down.
Therefore,
44% is the increase
b)the LCM of three numbers is 24 and their G.C.D is 4. If two
find the other number
6
Step-by-step explanation:
because 6*4=24, so the G.C.D is 4 and the other number is 6
15.5+(-10.5) i need help now
Answer:
=5
Step-by-step explanation:
Answer:
The answer would be 5 positive
Step-by-step explanation:
First, just take out those slashes cause you don't really need them there just there to make it hard to understand and then you do the rest and use a line to understand better.
HELP PLEASE THANKS
When solving a multi-step equation, which number do you "undo" first?
A The number on the opposite side of the equals side from the variable
B The number furthest from the variable (but on the same side of the equals sign)
C order doesn't matter - choose which one you want to do first
D The number touching the variable
Answer:A
Step-by-step explanation:
Answer:
It's C Order doesn't matter - choose which one you want to do first. Don't worry I took the test
Step-by-step explanation:
The school principal is designing a square courtyard outside of school, separated into 4 equal spaces. She wants to know the total area of the courtyard. S = length (ft) of one wide of each space. Which expression shows the total area of the courtyard.
Answer:
4s^2
Step-by-step explanation:
Took it :3
A Square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
The area of one space is S²
The total area of the courtyard is 4S².
What is a square?A Square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
Example:
The area of the square with a side of 2 cm is 4 square cm.
We have,
The school principal is designing a square courtyard outside of the school, separated into 4 equal spaces.
This means each space is also a square.
She wants to know the total area of the courtyard.
S = length (ft) of one side of each space.
This means,
The area of one space.
= S²
Now,
The total area of the courtyard.
= 4 x S²
= 4S²
Thus,
The total area of the courtyard is 4S².
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the density of iron is 7.8 g/cm^3 and its mass is 15 g . the volume of iron rim
Answer:
Step-by-step explanation:
d=m/V
7.8=15/V
V=15/7.8
≈1.92 cm³
Simplify: 21/36
Dddrtghjdrsrsxyffyyguguggu
Answer:
7/12
Step-by-step explanation:
divide the numerator and denominator by 3: 21 ÷ 3 and 36 ÷ 3
this gives you 7/12
PLZ HELP ME!!!!!
when you reverse the inequality sign when you __________ or __________ both sides of an inequality by a negitive number.
Answer:
divide or multiply............
What is the value of the expression m/2 + 1 when m = 6?
Mrs.Jacinto asked carpenter to construct a rectangular bulletin board for her classroom. She told the Carpenter that the board's area must be 18 square feet.
Answer:
6 ft by 3 ft
Step-by-step explanation:
Write the equation for the line based on the graph.
Answer:
y = -3/4x - 1
Step-by-step explanation:
We can use the points (-4, 4) and (0, -1) to solve.
(0, 1) represents the y-intercept.
Solve for the slope using [ y2-y1/x2-x1 ]
-1-(-4)/0-4
3/-4
-3/4
Slope intercept form is [ y = mx + b ] where m = slope and b = y-intercept. Fill in what we found/solved for.
y = -3/4x - 1
Best of Luck!
Three out of seven soccer players wore headbands in a soccer league. a. Write the ratio of soccer players who wore headbands to soccer players who did not. b. If there were 36 players in the league who did not wear headbands, how many players were in the league?
Answer:
a. 3:4
b) 63 players
Step-by-step explanation:
From the question, we know that: Three out of seven soccer players wore headbands in a soccer league.
This means Number of soccer players who did not wear head bands = 7 - 3
= 4
a. Write the ratio of soccer players who wore headbands to soccer players who did not.
Soccer player who wore headbands : Soccer players who did not
= 3:4
b. If there were 36 players in the league who did not wear headbands, how many players were in the league?
Soccer player who wore headbands : Soccer players who did not
= 3:4
36 players in the league who did not wear headbands
Hence, number of players in the league who wore head bands is calculated as:
3/4 = x/36
Cross Multiply
4x = 3 × 36
x = 3 × 36/4
x = 27
The total number of players in the league
= 27 + 36
= 63 players
What does 3/7 + 1/4 equal?
w=1/9(x+y-z)
what’s the answer please help
Answer:
1/9x+1/9y-1/9z
Step-by-step explanation:
The given equation can be written as w = x/9 + y/9 + z/9.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given the linear equation,
w = 1/9 (x + y + z)
We have the distributive property which states that,
For any three numbers, p, q and r, p (q + r) = (p q) + (p r)
So applying distributive rule in the expression given, we get,
w = (1/9 x) + (1/9 y) + (1/9 z)
w = x/9 + y/9 + z/9
Hence the given linear equation w = 1/9 (x + y + z) can be written as w = x/9 + y/9 + z/9.
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Given \qquad \overline{OA}\perp\overline{OC} OA ⊥ OC start overline, O, A, end overline, \perp, start overline, O, C, end overline \qquad m \angle AOB = 6x - 12^\circm∠AOB=6x−12 ∘ m, angle, A, O, B, equals, 6, x, minus, 12, degrees \qquad m \angle BOC = 3x + 30^\circm∠BOC=3x+30 ∘
Answer:
Step-by-step explanation:
If OA is perpendicular to OC, then <OAC = 90°
<OAC = <AOB + <BOC
Given
<AOB = 6x-12
<BOC = 3x+30
On substituting this values into the formula:
6x-12+3x+30 = 90
9x+18 = 90
Subtract 18 from both sides
9x+18-18 = 90-18
9x = 72
x = 72/9
x = 8°
Since <AOB = 6x-12
<AOB = 6(8)-12
<AOB = 48-12
<AOB = 36°
Also <BOC = 3x+30
<BOC = 3(8)+30
<BOC = 24+30
<BOC = 54°
Please help on Geometry
Answer:
A) Ray
Step-by-step explanation:
Because I know maths!
I need help quickly the problem is on the picture
1. Find the zero of: (write just the number, If there is no zero, write "none")
f(x) = -x - 5
Answer:
-5
Step-by-step explanation:
f(x) = -x - 5
did before
f(-5)= 5-5
f(x) = 2x
g(x) = x^2+3