Answer:
It will take 25 minutes
Step-by-step explanation:
4% every minute for 25 mins is 4x25=100
Preston's Bakery sold one customer 4 dozen chocolate cookies and 9 dozen oatmeal cookies for $126. The bakery also sold another customer 8 dozen chocolate cookies and 5 dozen oatmeal cookies for $122. How much do the cookies cost?
Let's refer to the chocolate cookies using the variable c, and the oatmeal cookies using the variable o.
Using the information we have, we can set up two equations for the two different transactions.
4c + 9o = 126
8c + 5o = 122
Now, we need to solve for one of the variables in the first equation. I will solve for o.
4c + 9o = 126
9o = 126 - 4c
o = 14 - 4/9c
Next, we'll take this value for o and plug it into the second equation for the variable o. Then we can solve for c.
8c + 5(14 - 4/9c) = 122
8c + 70 - 2 2/9c = 122
5 7/9c + 70 = 122
5 7/9c = 52
c = 9
Finally, we can use the value of c and plug it back into the first equation to solve for o.
o = 14 - 4/9(9)
o = 14 - 4
o = 10
1 dozen chocolate cookies costs $9
1 dozen oatmeal cookies costs $10
Hope this helps!
The air in poultry-processing plants often contains fungus spores. Inadequate ventilation can affect the health of the workers. The problem is most serious during the summer. To measure the presence of spores, air samples are pumped to an agar plate and "colony-forming units (CFUs)" are counted after an incubation period. Here are data from two locations in a plant that processes 37,000 turkeys per day, taken on four days in the summer. The units are CFUs per cubic meter of air.
Day Day 2 Day 3 Day 4
Kill room 3175 2526 1763 1090
Processing 529 141 362 224
The spore count is clearly higher in the kill room. Give sample means and a 99% confidence interval to estimate how much higher the spore count is in the kill room?
Answer:
-611.031 < μd < 4260.031
Step-by-step explanation:
This is a matched pair design :
______Day1 Day 2 Day 3 Day 4
x1 Kill room 3175 2526 1763 1090
x2 Processing 529 141 362 224
First we obtain the difference, d ;
d = (x1 - x2)
d = 2646, 2385, 1401, 866
The mean difference, dbar = Σd/ n = 7298 / 4 = 1824.5
The standard deviation of difference,
Sd = √(Σx-dbar)²
Using calculator, Sd = 834.086
The 99% confidence interval :
Mean ± margin of error
dbar ± margin of error
Margin of Error = Tcritical * Sd/√n
Tcritical at 99%, df = n-1 ; df = 4-1 = 3
Tcritical = 5.84
Margin of Error = 5.84 * 834.086/√4 = 2435.53112
Confidence interval = 1824.5 ± 2435.53112
(-611.031 ; 4260.031)
Find the area of a square whose side is 9.4cm .
can
anyone
help
me
PLZZ.........
Area = [tex] {(9.4)}^{2} [/tex]
[tex] = 88.36 \: {cm}^{2} [/tex]
Therefore, area of square is 88.36 cm².
the price of a box of cereal incresed by 45% if the original price of the box of cereal was 5$ what is the new price?
Answer: 7.25
Step-by-step explanation:
Which is a perfect square?
•6^1
•6^2
•6^3
•6^5
Answer:
6^2
Step-by-step explanation:
A perfect square has to be raised to an even power
The only one raised to an even power is
6^2
asap help no wrong answers
the answer is in the picture
plzz help will mark brainliest
Answer:
Step-by-step explanation:
x^2 + 11y + y^2 -3x + 11 = 5x +23 - y
First put it into general form by setting the equation to zero and moving all variables to one side.
x^2 + 11y + y^2 -3x + 11 = 5x +23 - y
+y -5x -11 -11
x^2 + y^2 - 8x + 12y = 12
Then solve by completing the square
x^2 - 8x y^2 + 12y = 12
(x - )^2 + (y + )^2 =
Half of 8 is 4
Then square 4 to get 16
Therefore, we plug the 4 into the first parentheses
x^2 - 8x + 16 + y^2 + 12y =12 +16
(x - 4)^2 + (y + )^2 =
Half of 12 is 6
Squared, that would be 36
plug this into the second parentheses
x^2 - 8x + 16 + y^2 +12y + 36 = 12 + 16 + 36
(x - 4)^2 + (y + 6)^2 =
12 + 16 = 28 + 36 = 64
Therefore, the equation of the circle is: (x - 4)^2 + (y + 6)^2 = 64
Which is option D
HELP ASAP 10 POINTS BRAIN LIST THANKS AND 5 STAR BUT IF CORRECT
Answer:
3 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 1/2 * 3/2 * 4
V = 3 cm^3
Answer:
3 cm³
Step-by-step explanation:
V = L * W * H
V = (4 cm)(3/2 cm)(1/2 cm)
V = 12/2 * 1/2 cm³
V = 12/4 cm³
V = 3 cm³
Which of the following are exterior angles? Check all that apply.
A. 21
B. 2
C. 25
D. 26
DE 24
E 23
Answer:
D. <6
E. <4
Step-by-step explanation:
both are exterior angles
∠4 and ∠6 are exterior angles.
Options D and E are the correct answers.
What are exterior angles?Exterior angles are angles formed by a straight line and a line segment outside of that straight line.
More specifically, an exterior angle is formed when two non-collinear rays originate from a point on one side of a straight line and intersect with the other side of the line.
We have,
From the figure,
∠4 and ∠6 are exterior angles.
∠5 and ∠3 are interior angles.
And,
∠6 is the sum of ∠3 and ∠1.
Thus,
∠4 and ∠6 are exterior angles.
Learn more about exterior angles here:
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Help please help me please
Answer: 1/1 :)
Step-by-step explanation:
Is "y = 0.860x + 3.302" a function? Explain why.
Answer:
Yes.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Any line that follows slope-intercept form will be a function.
If we graph this line, we can see that each x-value has its own y-value and it passes the vertical line test.
∴ y = 0.860x + 3.302 is indeed a function.
A conjecture and the two-column proof used to prove the conjecture are shown.
A right angled triangle P Q R. A ray extends horizontally left to QR. A ray extends down to the right of QR. The interior angle is labeled as 1 and 2.
Drag an expression or phrase to each box to complete the proof.
Answer:
Just took the quiz hopefully this helps!
Step-by-step explanation:
Compute the value of 9x^2 + 4y^2 if xy = 6 and 3x + 2y = 12.
Answer:
Consider the equation 3x + 2y = 12
Now, square both sides:
(3x + 2y)^2 = 122
=> 9x^2 + 12xy + 4y^2 = 144
=>9x^2 + 4y^2 = 144 – 12xy
From the questions, xy = 6
So,
9x^2 + 4y^2 = 144 – 72
Thus, the value of 9x^2 + 4y^2 = 72
Answered by GAUTHMATH
A group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students. The bus can hold a maximum of 54 teachers and students. If t represents the number of teachers and s represents the number of students, which of the following systems of inequalities best describes the possible numbers of teachers and students who can go on the trip?
Answer:
A maximum of 43 students and 11 teachers can go to the trip.
Step-by-step explanation:
Since a group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students, and the bus can hold a maximum of 54 teachers and students, to determine the possible numbers of teachers and students who can go on the trip, the following calculation must be performed:
4 + 1 = 5
54/5 = X
10.8 = X
10 x 4 = 40
10 x 1 = 10
4 - 1 = 3
Therefore, a maximum of 43 students and 11 teachers can go to the trip.
1+1=x x+2=y y+4=z z+z = ?
What is the value of x in theequation 2.5 (6x - 4) = 10 + 4 (1.5 +0.5 x)?
1/3
1/2
2
13
Answer:
x = 2
Step-by-step explanation:
Let's solve your equation step-by-step.
2.5(6x−4)=10+4(1.5+0.5x)
Step 1: Simplify both sides of the equation.
2.5(6x−4)=10+4(1.5+0.5x)
(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)
15x+−10=10+6+2x
15x−10=(2x)+(10+6)(Combine Like Terms)
15x−10=2x+16
15x−10=2x+16
Step 2: Subtract 2x from both sides.
15x−10−2x=2x+16−2x
13x−10=16
Step 3: Add 10 to both sides.
13x−10+10=16+10
13x=26
Step 4: Divide both sides by 13.
x=2
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5,
this is an arithmetic progression, {a+(n-1)d}
here a is -7 and d is 3
n is 5 ig (u have only shown 5 terms here)
Figure 2 shows that the travel time from x to y is 2 hours and 45 minutes. If Rihana needs to arrive at y before 12:45 p.m. , what time does she have to get on the bus?
plss help me
I will mark you as brainliest.plss
Answer:
See explanation
Step-by-step explanation:
Travel time between x and y = 2 hours 45 minutes
Rihana needs to arrive at y before 12:45 p.m
what time does she have to get on the bus?
12 : 45 pm - 2 hours 45 minutes
= 10:00 am
This means Rihanna has to get on the bus before 10:00 am
From the options provided, the two possible times are 08:00 am and 09:30 am
What number added to 23 equals 41?
Equation:
Solution:
Answer:
1. x + 23 = 41
2. x = 18; solution is 18
Step-by-step explanation:
We can translate the question into an equation. Because the question is asking to find a specific number we don't know the value of, let that unknown number be a variable; x. We know, from the information given in the question, that x added to 23 is equal to 41. When we're adding a number to another number, we use the + symbol. So far, we have x + 23. Now, the last part says "equals 41". We can imply when something equals another thing, we use the = sign. Then, we're left with the equation: x + 23 = 41.
To solve for this equation:
x + 23 = 41
Subtract 23 from both sides:
x + 23 - 23 = 41 - 23
x = 18
Therefore, our solution is 18.
What equation reoulte from completing the square and then factoring?
x2 + 4x-5
Answer:
Completing the square: [tex](x^2+4x)-5=0[/tex]
Factored form: [tex](x+5)(x-1)=0[/tex]
Step-by-step explanation:
1.
Completing the square is a method used to rewrite a quadratic equation in vertex form. First one groups the linear and the quadratic terms. Then one will factor out the coefficient of the quadratic term. After doing so, one makes the grouped equation a perfect square trinomial by introducing a term, don't forget to balance the equation. Finally one simplifies the equation. The result is a quadratic equation in vertex form.
The quadratic equation:
[tex]x^2+4x-5=0[/tex]
Group the linear and quadratic terms:
[tex](x^2+4x)-5=0[/tex]
The quadratic term doesn't have a coefficient, so one doesn't need to factor the group. Now, one has to add a term to make the group a perfect square trinomial. Remember to balance the equation:
[tex](x^4+4x-4)-5-4=0[/tex]
Simplify,
[tex](x-2)^2-9=0[/tex]
2.
Factoring a quadratic equation is a method of rewriting a quadratic equation as the product of two linear equations. One splits the constant term up into factors, such that the sum of the factors is equal to the coefficient of the linear term.
[tex]x^2+4x-5=0[/tex]
Factor:
[tex](x+5)(x-1)=0[/tex]
thabo and nomsa share 147 cents between them so that thabo gets 19 cents more than nomsa. calculate the amount of money each gets?
Answer:
n = 64 cents ; t = 83 cents
Step-by-step explanation:
n = nomsa
t = thabo
n + t = 147
n + 19 + n = 147
2n = 128
n = 64 cent
t = 64 + 19
t = 83 cent
The amount cents getting by Nomsa = 64
Hence, the amount cents getting by Thabo = 83
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Thabo and Nomsa share 147 cents between them so that Thabo gets 19 cents more than Nomsa.
Let the amount cents getting by Nomsa = x
Hence, the amount cents getting by Thabo = 19 + x
So, We get;
x + (19 + x) = 147
2x + 19 = 1147
2x = 147 - 19
2x = 128
x = 64
Thus, the amount cents getting by Nomsa = 64
Hence, the amount cents getting by Thabo = 19 + 64 = 83
Learn more about the addition visit:
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Find the length of the third side. If necessary, round to the nearest tenth. 6 10
Answer:
Step-by-step explanation:
7
Morgan has 24 coins which are all nickels and dimes. The total value of the coins is $1.85. How many dimes does Morgan have?
please help!! asap need 5 and 6
Answer:
both substitutions
Step-by-step explanation:
in 5. based on 3 BC is substituted by its equal counterpart AB.
and in 6. we use 1. to substitute AC by its associated absolute value.
Can someone help me with this lesson ??
Answer:
Step-by-step explanation:
The formula of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2.
First off, for the radius to be 8, r^2 must be 64 so only a and c are plausible. Now, the coordinates for the centre is at (h, k). So the first one is the answer.
HELP????????????????????????????????????????
Answer:
No
it goes on forever so no
find value of the variable
Answer:
x=10
Step-by-step explanation:
16/24=(x-2)/12
or, 16/2=x-2
or, 8=x-2
or, x-2=8
or, x=10
Answered by GAUTHMATH
Factor: (a+3)^2 -a(a+3)
Answer:
3(a +3)
Step-by-step explanation:
(a+3)^2 -a(a+3)
FOIL
a^2 +3a+3a+9 -a(a+3)
Distribute
a^2 +3a +3a +9 -a^2 -3a
Combine like terms
3a +9
FACTOR out a+3
(a+3)( a+3 -a)
(a+3) (3)
3(a+3)
Answer:
3(a+3)
Step-by-step explanation:
Expand the first set of brackets first
(a+3)^2
A^2 + 3a + 3a +9
=A^2 + 6a + 9
Expand the second set of brackets
-a(a+3)
=-a^2 - 3a
Add both sets together
3a + 9
Factorise:
3(a+3)
A construction crew is lengthening a road. The road started with a length of 59 miles, and the crew is adding 2 miles to the road each day.
Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating I to
this equation to find the total length of the road after the crew has worked 32 days.
[tex]\text{Solve for x:}\\\\3x - 5 = 5x + 3[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{x = -4}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3x - 5 = 5x + 3\\-----------\\\rightarrow 3x - 5 + 5 = 5x + 3 + 5\\\\\rightarrow 3x = 5x + 8\\\\\rightarrow 3x - 5x = 5x - 5x +8\\\\\rightarrow -2x = 8\\\\\rightarrow \frac{-2x=8}{-2}\\\\\rightarrow \boxed{x = -4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
