Answer:
y = 3x - 8
Step-by-step explanation:
A food store makes a 11-lb mixture of oatmeal, crispies, and chocolate chips. The cost of oatmeal is $1.50 per pound, crispies cost $2.00 per pound, and chocolate chips cost $1.00 per pound. The mixture calls for twice as much oatmeal as crispies. The total cost of the mixture is $17.00. How much of each ingredient did the store use?
Answer:
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
Step-by-step explanation:
Let,
x be the pounds of oatmeal used
y be the pounds of crispies used
z be the pounds of chocolate
According to given statement;
1.50x+2.00y+1.00z = 17.00 Eqn 1
x+y+z = 11 Eqn 2
x = 2y Eqn 3
Putting x=2y in Eqn 2
2y+y+z = 11
3y+z = 11 Eqn 4
From Eqn 4
z = 11 - 3y Eqn 5
Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1
1.50(2y) + 2.00y + 1(11-3y) = 17.00
3y+2y+11-3y=17
[tex]2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3[/tex]
Putting y = 3 in Eqn 3
x= 2(3)
x= 6
Putting in Eqn 2
6 + 3 + z = 11
z = 11-9
z= 2
Hence,
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
The diagram shows the governing system of a municipal government.
What does the diagram show about the strong mayor system?
The city council is elected and the mayor is not.
The mayor is elected and the city council is not.
The mayor has more power than the city council.
The city council shares equal power with the mayor.
Answer:
where is the diagram
Step-by-step explanation:
?
Answer:
C !!! THE MAYOR HAS MORE POWER THAN THE CITY COUNCIL !!!
Step-by-step explanation:
What is the sum of (4s+3)+(2s+1)
Answer:
Step-by-step explanation:
4s+3+2s+1=6s+4
The ratio of blue to red for a purple paint made by
28
mixing 24 oz of red with 28 oz of blue.
Answer:
28:24
Step-by-step explanation:
Blue to red is 28:24 or 7:6.
Which of the lines below is parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
line AB
line CD
line FG
line HJ
Answer:
[tex]\displaystyle line\:HJ[/tex]
Step-by-step explanation:
[tex]\displaystyle y = 3x + 3[/tex]
The descryption gives you the above Slope-Intercept Equation. Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], therefore [tex]\displaystyle 3[/tex] remains as is, and perfourming [tex]\displaystyle \frac{rise}{run},[/tex] will give you that answer.
I am joyous to assist you at any time.
Answer:
D: line HJ
Step-by-step explanation:
The following set of coordinates represents which figure? (1,1), (5,3), (7,7), (3,5)
Answer:
1×1÷11. 5×3=15. 7×7=49 3×5=15 I'm not really sure but is there's anything else
A random survey of the quality of city parks is taken. Sixty-five percent of the people surveyed were pleased with the condition of the parks. If 182 people were pleased, then how many were surveyed? (sorry if its not a lot of points I just made an account ^ ^)
tom goes on hoilday south africa
Answer:
Yes, good for him. lol
Step-by-step explanation:
Answer:
what he do there?
Identify the number of terms, the coefficient(s), and the
term(s) of the expressions below.
7. 6p - 7p + 9c - 4
terms:
Coefficients:
Constant terms
Answer:
terms = 7.6p-7p and 9c-4
coefficients =76, 7, 9 and 4
constant terms= 4
The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?
Answer:528
Step-by-step explanation:
This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528
Easy points, what’s 9+10?
Answer:
19
Step-by-step explanation:
3x + 10 = 5(x – 17)
how do i solve this?
any easy examples?
Answer:
x= 95/2 or x=47.5 or 47 1/2
Step-by-step explanation:
3x + 10 = 5(x - 17)
First Step:
multiply and combine the right side (parentheses)
5 times x = 5x 5 times -17 = -85
3x + 10 = 5x -85
Second Step:
Add like terms ----> which is: 3x and 5x -----10 and -85
BUT since you only want one x on one side, you combine x first.
3x + 10 = 5x -85
-5x -5x
-2x + 10 = -85
NOW
Third Step: Add the integers---> 10 and -85
you want to get 10 on the same side as the -85, so you subtract it from BOTH sides.
which brings you:
-2x + 10 = -85
-10 -10
NOW that we've subtracted -10 from -85 it's technically just adding 85 and 10 then putting a negative sign on it.
so now we have:
-2x = -95
Step Four:
divide -2 from each side to get X alone
-2x = -95
-2 -2
ANSWER:
x=47.5
The population of an endangered squirrel is decreasing at a rate of 0.75% per year. There are currently
about 200,000 of these squirrels. This is represented by the equation, s = 200,000(0.9925" in which s is the
number of squirrels at any given point in time. How many squirrels will there be in 25, 50 and 100 years?
Answer:
There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.
Step-by-step explanation:
Exponential Decay Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]s(t)=s_o\cdot(1-r)^t[/tex]
Where:
s(t) is the actual value of the function at time t
so is the initial value of s at t=0
r is the decaying rate, expressed in decimal
The population of squirrels is decreasing at a rate of r=0.75% = 0.0075. The initial number of squirrels is so=200,00. The exponential model for this situation is:
[tex]s(t)=200,000\cdot(1-0.0075)^t[/tex]
[tex]s(t)=200,000\cdot(0.9925)^t[/tex]
Where s is the number of squirrels at any time t.
We are required to find the number of squirrels in:
t=25 years. Substitute in the formula:
[tex]s(25)=200,000\cdot(0.9925)^25[/tex]
Calculating:
[tex]s(25)\approx 165,689[/tex]
t=50 years. Substitute in the formula:
[tex]s(50)=200,000\cdot(0.9925)^50[/tex]
Calculating:
[tex]s(50)\approx 137,264[/tex]
t=100 years. Substitute in the formula:
[tex]s(100)=200,000\cdot(0.9925)^100[/tex]
Calculating:
[tex]s(100)\approx 94,207[/tex]
There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.
give answer plzzz fast...
it's very important for me...
Answer:
the required answers will be
a) -48b) -3c) 72d) 2Step-by-step explanation:
for explanation see the attached picture
okay
Determine the type of correlation represented in the scatter plot below.
A. a perfect positive correlation
B. a strong positive correlation
C. a weak positive correlation
D.no correlation
E. a weak negative correlation
F. a strong negative correlation
G. a perfect negative correlation
Answer:
f is correct
Step-by-step explanation:
A weak negative correlation. Correct option is E.
What is a correlation?A correlation between two variables tells the how the first variable will change, with change in second variable.
Given,
Value of y decreases as the value of x increases and vice versa.
Also, x and y are nearly linearly related.
But, there is still some deviation in the values and are not perfectly linear.
Hence, there is a weak negative correlation between x and y.
To learn more about correlation visit:
https://brainly.com/question/28898177
#SPJ1
If the original quantity is 8 and the new quantity is ,2 what is the percent decrease?
Answer: 75%
Step-by-step explanation:
75% of 8 is 6.
8 was decreased by 6 to get 2.
8 was decreased by 75% of its initial value to get 2.
Hope this helped!
Answer:
75%.
Step-by-step explanation:
8 - 100%
2 - x
[tex]\dfrac{8}{100 \%}=\dfrac{2}{x} \\\\x=\dfrac{2 \cdot 100 \%}{8} =25 \%[/tex]
100% - 25% = 75% - the percent decrease.
simplify (-2n"4+8n"5+7n"3+3)
Answer:
okay I think this is the right answer if not I'm sorry
−576n⁴-1152x⁵
By what percent did
the Howard family's
water bill decrease from
June to July? June $110.00, July $50.00
Simplify. 4(w-5)-6w please help ASAP
Answer:
-2w-20
Step-by-step explanation:
distribute => 4w-20-6w = -2w-20
Answer:
-2w - 20
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
4(w - 5) - 6w
Step 2: Simplify
Distribute 4: 4w - 20 - 6wCombine like terms: -2w - 20Find the slope and the -intercept of the line. y=-1/5x+7 plz i need help
Answer:
slope= -1/5
y-intercept=7
Step-by-step explanation:
y=mx+b is a linear equation
m=slope
b=y-intercept
I dint understand this what’s the answer?
what is 1.75% as a fraction? BTW I NEED THIS ASAP
1.5(x +4) - 3 = 4.5 (x - 2)
Answer:
Step-by-step explanation:
x-4
Answer:
x = 4
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
Distribute;
1.5x + 6 - 3 = 4.5x - 9
Collect like terms;
1.5x + 3 = 4.5x - 9
Subtract 1.5x from both sides;
3 = 3x - 9
Add 9 to both sides;
12 = 3x
Divide both sides by 3;
x = 4
Which of the following are adjacent angles?
Answer:
c
Step-by-step explana i think its right
Shelby ordered a set of orange and blue pins. She received 92 pins, and 25% of them were orange. How many orange pins did Shelby receive
Answer:
23 orange pins did Shelby receive.
Step-by-step explanation:
25% = 0.25
92 × 0.25 = 23
How many presents would shelia wrap in 6 hours if she wrapped 4 presents every 4 minutes?
Answer:96
Step-by-step explanation:
Is the equation y = x3 - 2 a linear equation?
Answer:
Not linear
Find the degree of the equation to determine if linear.
Genesis has 2/3 of her birthday cake left and she wants to share it between 3 of her friends. How much of the original cake will each friend receive? Kaycee says 6/9 Tari says 2/9 Janiyah says 3/9 Who is correct?
Answer:
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
Step-by-step explanation:
You know that Genesis has [tex]\frac{2}{3}[/tex] of her birthday cake left and she wants to share it between 3 of her friends.
To determine the amount of original cake that each friend will receive is determined by dividing the [tex]\frac{2}{3}[/tex] of the cake into 3 pieces, which is the number of friends.
[tex]\frac{2}{3}[/tex] ÷3
To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.
In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.
In this case:
[tex]\frac{2}{3}[/tex] ÷3= [tex]\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}[/tex]
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
Can someone please help me with number 16?
Answer:
I got 105°
Step-by-step explanation:
Triangle ABC is an isosceles triangle so base angles are equal. <A = 30° (given)
180 - 30 = 150°
150/2 = 75°
the little triangle is also isosceles. the original base angles have been bisected so the base angles are 37.5.
37.5 X 2 = 75°
180-75 = 105°
D = 105°
SOMEONE PLEASE HELP!!!
Select the reason why these triangles are
similar. If they are not, select "Not similar".
Answer:
not similar bcs side are not in ratio