The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.
Given that, Michael is making cookies. Each batch uses 3 cups of flour.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let the number of batches of cookies be x.
Now, the inequality to represent the given situation is
3x+5<41
Subtract 5 on both sides of inequality, we get
3x<36
Divide 3 on both sides of inequality, we get
x<12
The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
#SPJ1
x³+2x²-15x, x²-7x+12 and 3x²-27 find h.c.f
Answer:
[tex] {x}^{3} + 2 {x}^{2} - 15x \\ x( {x}^{2} + 2x - 15) \\ x( {x}^{2} + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\ {x}^{2} -7x + - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ 3 {x}^{2} - 27 \\ 3( {x}^{2} - 9) \\ 3((x + 3)(x - 3)) \\ \\ the \: hcf \: = (x + 3)[/tex]
Would it be easier for Dana from problem 3-68 to find a single 12-foot board of clear wood rather than four clear 3-foot pieces? Use a simulation to estimate the average number of 12-foot boards he would have to consider.
WILL GIVE BRAINLEST!!! A rational expression has been simplified below
(x-2)(x+6) X-2
7(x+6)
*=2
For what values of xare the two expressions equal?
Answer:
You're answer is B. All answers except -6
Step-by-step explanation:
did the test
A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
Answer:
percentage change divided by real value, *100.
421-376 = 45
45/421 = approx. 0.10688361
*100 = 10.6%
Step-by-step explanation:
TRUE OR FALSE , When you divide the numerator of a fraction by the denominator you always get a terminating decimal?
Answer: false.
Step-by-step explanation:
it's only a terminating decimal if you end up with a remainder of 0.
Please 10 points for one question
Please don’t answer if you don’t know
Answer:
answer is 60° hope it will help you
A recipe calls for 1/2 cup sugar and 1 cup flour. How much flour will you need if you use 3/4 cup of sugar?
Answer:
1 1/2 cups
Step-by-step explanation:
3/4 is 1 1/2 of 1/2, and 1 1/2 is 1/2 of 1
Answer:
1.5 cups of sugar
Step-by-step explanation:
3/4 divided by 1/2 is 1.5
Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .
Answer:
x: (4, 0)y: (0, -2)Step-by-step explanation:
To find the x-intercept, set y=0 and solve for x. That will mean dividing by the coefficient of x:
-4x +0 = -16
x = -16/-4 = 4 . . . . the x-intercept
__
To find the y-intercept, set x=0 and solve for y. That will mean dividing by the coefficient of y:
0 +8y = -16
y = -16/8 = -2 . . . . the y-intercept
__
The x- and y-intercepts are (4, 0) and (0, -2), respectively.
_____
Additional comment
The standard form equation of a line, ax+by=c, is especially nice for finding the intercepts, as they are always (c/a, 0) and (0, c/b). Once you see this, you can do a question like this in your head.
Identify the slope (m) and y-intercept (b) for 3x + 4y = 9.
Answer:
slope= -¾
[tex]y - intercept = 2 \frac{1}{4} [/tex]
Step-by-step explanation:
3x +4y= 9
Let's rewrite the equation into the form of y= mx +b (known as slope-intercept form), where m is the slope and b is the y-intercept.
Keep the y term on the left-hand side of the equation and move all the other terms to the right-hand side.
4y= -3x +9
For the coefficient of y to be 1, divide both sides of the equation by 4.
[tex]y = - \frac{3}{4} x + \frac{9}{4} [/tex]
[tex]y = - \frac{3}{4} x + 2 \frac{1}{4} [/tex]
[tex]slope = - \frac{3}{4} [/tex]
[tex]y - intercept = 2 \frac{1}{4} [/tex]
216+5( 8+1/5) Please i need it asap ty!
Answer:
257
Step-by-step explanation:
216 + (5 x(8 + 1/5)
What is the square of the sum of five and a number diminished by 6?
Step-by-step explanation:
A number diminished by 6:
n - 6Sum of 5 and a number diminished by 6:
5 + n - 6 = n - 1The square of the sum of five and a number diminished by 6:
(n - 1)² =n² - 2n + 1One year, the population of a city was 51,000. Several years later it was 61,200. Find
the percent increase
What is the percent increase
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
Whats the value of 6 in 1.267
Answer:
hundredths place
Step-by-step explanation:
dont know the answer pls help :(
Answer:
x=3
Step-by-step explanation:
7x-3=18
7x=18+3
7x=21
x=3
Please help this is my last points
Answer with explanation please
Please I need it now
Answer:
im going to guess cause i barely see 120
Step-by-step explanation:
Answer:
Three sets of supplementary angles
1 & 4 = 180º
2 & 5 = 180º
3 & 6 = 180º
Total = 540º
Sum of angles in triangle = 180º
Therefor sum of exteriort angles
540 - 180 = 360º
18 ounces. of iced tea costs 2.99. How much will 30 ounces. cost
Answer:
About $4.98
Step-by-step explanation:
The cost of 30 ounces of iced tea will be $4.98.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
18 ounces. of iced tea costs 2.99. Then the ratio of cost to weight is calculated as,
⇒ $2.99 / 18
⇒ $0.166 per ounce
Then the cost of 30 will be calculated as,
⇒ $0.166 x 30
⇒ $4.98
The cost of 30 ounces of iced tea will be $4.98.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
When playing a game of capture the flag how would a player best position themselves from being tagged and placed in the jail?
On their own team's side of the center line
On their opponent's side of the field, nearest the flags
Near the center line so they can move back and forth between the two sides
Near the back corner of the opponents flag area
Answer:
Near the center line so they can move back and forth between the two sides
Step-by-step explanation:
what is 4x(1+8x) Distributed
Answer:
4x + 32x²
Step-by-step explanation:
4x(1 + 8x) ← multiply each term in the parenthesis by 4x
= 4x + 32x²
38
21
21
X
What is the value of X
Answer:
80
Step-by-step explanation:
honestly it depends on the question but if it's addition, this is the answer
14
The points A, B and C lle on a straight line.
The length of AB is equal to the length of BC
What are the coordinates of point A?
*C(5,6)
*B12, 1)
Answer:
(-1,-4)
Step-by-step explanation:
First, you take the x coordinate of C and subtract it from the x coordinate of B. 5-2=3. You then take the 3 and subtract it from the x value of point B which is 2 and 2-3=-1 which gives us the x coordinate of point A -1. then you take the Y coordinate of C and subtract it from the Y coordinate of B. 6-1=5. You then take the 5 and subtract it from the y value of point B which is 1 and 1-5=-4 which gives us the y coordinate of point A -5. And that gives you (-1,-4)
Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
Answer:
Step-by-step explanation:
First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:
[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]
Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.
[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]
HOPE THIS HELPS :D
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.
We know that if two angles of any triangle are the same then their opposite sides are also the same.
Let each side length of x ft. Then by the Pythagoras theorem. we have
[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
what is the answer???????
Answer:
1) 1(1/32)
2) 1.8
Step-by-step explanation:
2(3/4)=11/4
2(2/3)= 8/3
(11/4)/(8/3)=33/32
33/32= 1(1/32)
1(4/5)=9/5
9/5=1.8
Given that I = PTR/ 100 , make T the subject of the formula.
Step-by-step explanation:
I=PTR/100
cross multiply to get 100I= PTR
Put 100I/PR and PTR/PR
HENCE u get 100I/PR=T
THIS is because the PR cancelled from PRT to remain with T
Please help me with this homework
Answer:
C.
Step-by-step explanation:
Open circles mean < > not ≤ ≥. and the direction the line goes determines which symbol is used. the line goes up from -2 so its greater than -2 and down from 5 so less than 5
Sketch the graph of each line by identifying the x-and y-intercepts.
Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid
for each job. Tim gets $12 for mowing lawns, $9 for washing cars, and $7 for walking dogs. Mr. Jeffries has not paid his bill in 3 weeks. If Tim performed each job for Mr. Jeffries
once, how much does Mr. Jeffries owe Tim? Write an addition equation using integers to represent the
situation. Represent Mr. Jeffries' balance as an integer.
Select the correct choice below and fill in the answer boxes to complete your choice.
Answer:
D ($28)
Step-by-step explanation:
-12 + -9 + -7 = -28
someone help me pls
i need it now
just simply choose the letter of the correct answer
Answer:
Step-by-step explanation:
1. D
2. A
3. A
4. B
5. B
dont know the rest sorry
Which answer choice is NOT equivalent to 4(x + 3)
a. 4x + 12
b. x + 3x + (4 + 3)
c. x + x + x + x +12
d. 2x + 2x + (4 x 3)
Answer: b
Step-by-step explanation:
Combine the terms after removing the parentheses.
Reference equation: 4x + 12
a. 4x + 12
b. 4X +7
c. 4x + 12
d. 4x + 12
HELP AWARDING BRAINLIEST
Answer:
Either 2.34 or 2.345
Step-by-step explanation:
the difference of the square of two consecutive numbers is 19. If one number is 10, what is the other number?
a)12 . b)11 . c)9 . d)8.
If you can answer correctly and explain properly the methods.
I try to mark it as the brainiest.
Answer:
c
Step-by-step explanation:
10^2 - 9^2 = 100 - 81 = 19
