The system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000
Let c represent the number of cookies and let b represent the number of brownies.
Since Genie want to make more than 125 cookies and brownies altogether, hence this is given by:
c + b ≥ 125 (1)
Also, Genie has a total of 2,000 grams of flour, hence:
8c + 12b ≤ 2000 (2)
Therefore the system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000
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Help with trigonometry
Use pythagorean theorem to find the length of x
Answer:
x =√969
Step-by-step explanation:
AC²=AB²+BC². (Formula)
(35)²=(16)²+BC²
1225-256=BC²
969=BC²
BC=√969
I need help with these 2 problems I cant figure out.
I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.
2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)
Next, I add 20 on both sides.
2x + 90 + 3x = 200º
I combine like terms (2x and 3x)
5x + 90 = 200º
I subtract 90 from both sides.
5x = 110º
Divide 110 by 5 to get x.
x = 22
======
For problem two, I label all the angles I know.
49º + 80º + r = 180º
I add 80 and 49.
129º + r = 180º
I subtract 180 and 129 and get 51º, which is your angle for R.
For angle X, you know that angle R plus angle X equals half of a circle, which is 180º
We know from before that 129º is 180º without R, so X is 129º
I hope this helps! Let me know if I'm wrong!
If f(x)= –2x+3 then f(3) – f(4)=
Answer:
2
Step-by-step explanation:
F(3) means that we plug in 3 for the x value of the original equation, and F(4) means that we plug in 4 for the x value of the original equation
F(3) = -2(3) + 3
= -3
F(4) = -2(4) + 3
= -5
- 3 -(-5) = 2
Answer:
2
Step-by-step explanation:
Step 1: Solve for f(3)
[tex]f(3) = -2(3)+3[/tex] [tex]f(3) = -6 + 3[/tex] [tex]f(3) = -3[/tex]Step 2: Solve for f(4)
[tex]f(4) = -2(4) + 3[/tex] [tex]f(4) = -8 + 3[/tex] [tex]f(4) = -5[/tex]Step 3: Subtract f(4) from f(3).
[tex]f(3)-f(4)[/tex] [tex](-3)-(-5)[/tex] [tex]-3 + 5[/tex] [tex]2[/tex]Therefore, the answer is 2.
Please help :)
Find the equation that passes through (2, 2) and is parallel to 2y + 4x = 4.5
Answer:
Line passing through (2,2) is parallel to X - 2Y = 4, so, the slope is same as given line.
m = -a/b = -1/-2 = 1/2
The equation is
(Y - Y1) = m(X - X1) => Y - 2 = 1/2(X - 2) =>
2Y - 4 = X - 2 => | X - 2Y = -2 |
You are running a fuel economy study. One of the cars you find is blue. It can travel 30 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 27 1/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
You are running a fuel economy study. One of the cars you find is blue. It can travel 30 and one half miles30 1 2 miles on 1 and one fourth gallons1 1 4 gallons of gasoline. Another car is red. It can travel 25 and three fifths miles25 3 5 miles on four fifths gallon 4 5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon1 gallon of gasoline?
Blue car: 30.5 / 1.25 =24.4 miles per gallon
Red car: 25.6/0.80 =32 miles per gallon
You can easily see that the Red car travel farther on 1 gallon of gasoline.
Answer:
The unit rate for the blue car is 24 2/5 and The unit rate for the red car is 34
A package of 5 pairs of insulated socks costs $26.45. What is the unit price of the pairs of socks?
Answer:
$5.29 per pair of socks
Step-by-step explanation:
26.45/5=5.29
en un restaurante se usan 70 gramos por cada porción de arroz por persona.Si un día se preparan 4760 gramos de arroz ¿cuántas porciones se obtendrán?
Queremos saber cuantas porciones de arroz se preparan dado que conocemos cuantos gramos de arroz se utilizan.
Se prepararon 68 porciones.
Lo que sabemos en principio es que, por cada porción de arroz, se necesitan 70 gramos de arroz.
Sabemos que en total se utilizan 4,760 gramos de arroz. Para saber cuantas porciones se prepararon, hay que tomar el cociente entre la cantidad total utilizada y lo que se usa para cada porción.
Esto nos da:
4,760g/70g = 68
Es decir, se prepararon 68 porciones.
Sí quieres aprender más, puedes leer
https://brainly.com/question/18070326
PLEASE ANSWER, 100 POINTS!
(Please read the full question before you answer.)
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).
x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2
3
4
5
6
Answer:
x
=
−
0.3559322
Step-by-step explanation:
-4 = 20 - 10x
i dont know what to do pls help
Answer:
x = 2.4
Step-by-step explanation:
10x = 24
x = 24 ÷ 10
x = 2.4
Step-by-step explanation:
→ -4 = 20 - 10x
→ -20 - 4 = 10x
→ -24 = 10x
→ x = -24/10
→ x = -2.4
therefore, value of x is -2.4
hope this answer helps you dear!
Larry works for a tree farmer and needs to plant new saplings (young trees). He can plant 27 saplings per hour. He needs to plant 178 total saplings and has already planted 16 saplings.
Which equation and answer shows the number of hours (h) it will take for him to plant the rest of the saplings?
Answer:
27h+16=178 I believe would work as an equation for this problem
Step-by-step explanation:
The required time to plant the rest of the saplings is 6 hours, and 27 + 16 = 178 is the required expression.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let the number of hours be h,
He can plant 27 saplings per hour.
He needs to plant 178 total saplings and has already planted 16 saplings.
So, according to the quesiton,
27h + 16 = 178,
27h = 162
h = 162/27
h = 6
Thus, the required time to plant the rest of the saplings is 6 hours,
Learn more about models here:
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#SPJ2
Miguel pays $18 every month for his online guitar lessons. At this rate, how much will Miguel pay for 1 year of guitar lessons?
Answer:$216
Step-by-step explanation:
you do 18 * 12 because he gets 18 every month and there are 12 months in a year
In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.
[tex]\longmapsto[/tex]The value of "x" is 5.
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
A trapezium ABCD in which AB || CD such that
AO = x - 1CO = BO = x + 1OD = x + 4Now,
[tex]\rm In \: \triangle \: AOB \: and \: \triangle \: COD[/tex]
[tex]\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}[/tex]
[tex]\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}[/tex]
[tex]\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}[/tex]
[tex]\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO} [/tex]
[tex]\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4} [/tex]
[tex]\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2} [/tex]
[tex]\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x[/tex]
[tex]\rm \longmapsto\: 3x - 4 = 1 + 2x[/tex]
[tex]\rm \longmapsto\: 3x - 2x= 1 +4[/tex]
[tex]\bf\longmapsto \:x = 5[/tex]
Put the following equation of a line into slope-intercept form, simplifying all
fractions
2x - y = 2
Which of the following represents the distance between x and y on a number line?
A. (x + y)
B. |y - x|
C. (y – x)
D. |x+y|
E. yx
Pls help me with this one
Answer:
It's not proportional
Step-by-step explanation:
The first 2 days are proportional because, they travel at an increment of 60 miles an hour.
But, on the third day, it is not proportional because they travel at an increment of 90 miles an hour.
360 / 4 = 90
120 / 2 = 60
60 / 1 = 60
Answer:
The answer would be yes and no!! But, it would be no!
Step-by-step Explanation:
Yes: On Monday and Tuesday, those would be proportional because they are just counting by 60´s. 60 plus 60 would give you 120.
No: On Wednesday, this ¨person¨ traveled 360 miles in 3 hours. Now, you aren´t counting by 60´s anymore. Even though you started out counting by the 60´s, doesn´t mean you will finish like that.
60´s:
1 hour = 60 mi
2 hours = 120 mi
3 hours should be = 180 miles, not 360 Because:
360 mi would be equal to 6 hours. Do you see where I´m going with this?
Hope that helps you so you can put it in a mathematical way. Have a great day!!
If you get it wrong, plz notify me any way possible...... :)
Find the GCF
of 10 and 50 using
the distributive
property.
(10+50)
BRAINLIEST
Answer:
10
Step-by-step explanation:
Answer:
I thin the asnweris 60
Step-by-step explanation:
Let me know if i'm right I don't know if I followed all the steps
Mellie is playing a bowling game at an arcade. She rolls two balls into the 30 point hole four balls into the 20 point hole and three balls into the 50 point hole. Write and evaluate an expression to find mellies total score.
Answer:
290
Step-by-step explanation:
30x2 + 20x4 + 50x3
Hope this helps. Please mark brainliest if you would. It would really help me out
Answer:
290
Step-by-step explanation:
30x2+4x20+3x50 multiply first and you get 60+80+150=290
a) 3x²(5x²-2x-4)
b) xy²(x²y+x³y²+3x²y³)
c) xyz(x²y+3yz²+4xy²z)
Answer:
bobo ka ba
Step-by-step explanation:
name!https://youtu.be/vA3qDEMnB5k
Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
Day 1:
Day 2:
Inequalities are used to compare unequal expressions.
The actual comparison is:[tex]\mathbf{-3.5 < 5}[/tex] or [tex]\mathbf{5 > -3.5}[/tex]
The temperatures are given as:
[tex]\mathbf{Temperature = -3.5F,\ \ 5F,\ \ 1.5F,\ \ -0.5F,\ \ -2F,\ \ 2.5F,\ \ -4F}[/tex]
From the above list, we have:
[tex]\mathbf{Day \ 1= -3.5F}[/tex]
[tex]\mathbf{Day \ 2= 5F}[/tex]
By comparison,
[tex]\mathbf{-3.5 < 5}[/tex] or [tex]\mathbf{5 > -3.5}[/tex]
Using absolute values, the inequalities are:
[tex]\mathbf{|-3.5| < |5|}[/tex] or [tex]\mathbf{|5| > |-3.5|}[/tex]
Hence, the actual comparison is:
[tex]\mathbf{-3.5 < 5}[/tex] or [tex]\mathbf{5 > -3.5}[/tex]
Read more about inequalities and absolute values at:
https://brainly.com/question/24797699
Given − 13 x − 23 ≥ 7x + 3,, which property is used below? 3 (−13 x − 23) ≥ 3(7x + 3)
The property used is Division property of equality to get the resulting equation since we divided both sides by 3
Given the inequality expression
3 (−13 x − 23) ≥ 3(7x + 3)
We are to know which of the property is used to arrive at − 13 x − 23 ≥ 7x + 3
We can see that both sides of the expression were divided by 3 as shown:
[tex]\frac{3(-13x-23)}{3} \geq \frac{3(7x+3)}{3}\\-13x-23 \geq 7x+3\\[/tex]
From the division, we will see that the property used is Division property of equality to get the resulting equation since we divided both sides by 3
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find the sum in smiplest form 6\\9 plus 6\9
Answer:
6/9+6/9
find the LCM, which is 9
9÷9=1, 1×6=6
since it is the same thing
6+6/9 = 12/9
= 1 whole number 3/9 or 1 whole number 1/2
RJ's soccer team has a record of winning 2 matches for every 3 they lose. If the team lost 15 matches during the season, how many matches did they win?
Answer:
i have no idea
Step-by-step explanation:
Answer:
They won 10 matches
Step-by-step explanation:
Since it's 2/3 if you multiply 3 by 5 you get 15. If you multiply 2 by 5 you get 10. So wit would be 10/15 which is also 2/3.
Select the correct answer.
The graph shows a proportional relationship between the number crates and the number of apples per crate.
What is the constant of proportionality in terms of the number of apples to the number of crates?
A.
30
B.
35
C.
40
D.
50
Answer:
40
Step-by-step explanation:
It is 40 because on the graph it shows that you don't start at the first crate but the 2nd you do and you have to figure out if the crate was one how many apples would their be
Please help me solve this
Answer:
the answer will be something like 18
What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.
1. х
2. y
3. 6
4. 3
5. -1
6. 2
7. 3
8. 6
9. +
10. 1
11. 2.
12. 3
13. 4
14. 5
I need the 6 that go in the boxes
Answer:
slope is -2/3
Step-by-step explanation:
[tex]3y = - 2x + 6 \\ y = \frac{ - 2}{3} x + 2[/tex]
HEY THERE!! CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+43 POINTS
-solve the equation
[tex] \frac{1}{x} + \frac{1}{3x} = 4[/tex]
(pls have your answer as a fraction in its simplest form)
Thanks xx)
[tex]\displaystyle \frac{1}{x} +\frac{1}{3x} =4 \ \ ; \ \ x\neq 0 \\\\\\ \frac{3+1}{3x} =4 \\\\\\12x=4 \\\\ \boxed{x=\frac{1}{3} }[/tex]
Which expression is equivalent to m-2m-6m?
Answer:
Which expression is equivalent to m-2m-6m?
if this is correct can i have brainliest
The latest thrill ride at a popular theme park takes roller coaster fans on an exciting ride. In the first 20 seconds, it carries its passengers up a 100-meter hill, plunges them down 72 meters, and quickly takes them back up a 48-meter rise. How much higher or lower from the start of the ride are they after these 20 seconds?
HELP ME PLEASE!!!!
100-meter rise, 72-meter descent followed by a 48-meter rise
100-72+48 = 76
after these 20 seconds, they are 76 meters higher than at the start of the ride
find the missing number so that the equation has no solutions. _x-18=-3(x+4)
Answer:X=5
Step-by-step explanation:took the test
the function is( -7,1)(-5,3)(-7,-1)(5,13)
Answer:
Not a function
Step-by-step explanation:
The an x-value (the first number in your ordered pair)ca not appear in another ordered pair. It it does, you do not have a function.
( -7,1)(-5,3)(-7,-1)(5,13) -7 appears as the first number in two of your ordered pairs. Not a function!