The act of storing toothpicks on shelves above food in storage can lead to a physcial contamination of the food stored.
What is Physical contamination of food?Physical contamination of food is the direct contact of a foreign object with the food substance(s). This can affect us when eating because we might not know that such a foreign object has been prepared with the food.
It is advisable to keep foreign objects such as toothpicks away from our food storage or a place whereby they will not have the tendency of coming in contact with our food substance, either knowingly or unknowingly.
Learn more about physical contamination here:
https://brainly.com/question/2034985
Which expressions are polynomials?
Select each correct answer.
6 + w
2x4−y
z + 1
y2−y√3+4
Answer:
It is 6+w, z=1, and 2x^4-y
Step-by-step explanation:
The expressions which are polynomials are;
6+ w2x⁴ - yz + 1y² - y√3 + 4What is a polynomial?A polynomial by definition is an expression which is composed of variables, constants and exponents, which are combined using the mathematical operations including addition, subtraction, multiplication and division.
On this note, all of expressions are polynomials.
Read more on polynomials;
https://brainly.com/question/2833285
evaluate 2-(-4)+(-y) where y = 7
Answer:
-1
Step-by-step explanation:
It’s just simple don’t worry just look I won’t make you need the explanation god bless :)
15. At a school for, 70% of the people are under 16 years old. One of the people rema
there are 21 teachers at the fair how many people are there at the far total
h. 125
Answer:
210 people are there at the fair
Step-by-step explanation:
Let the total number of people at the fair = X
People under 16 years old = 70% of X = 0.7 X
People remaining = Total number of people - Under 16 years
= X - 0.7X = 0.3X
The number of teachers = 1/3 of People remaining = 1/3 of 0.3X
Since there are 21 teachers
1/3 of 0.3X = 21
1/3 x 0.3X = 21
0.1X = 21
Divide both sides by the coefficient of X
0.1X/0.1 = 21/0.1
X = 210
That is 210 people are there at the fair
Nia told Patrick that her new backpack only cost $14 because she used a 30% off coupon when she bought it. Patrick wants to buy a similar backpack. How much will it cost if he does not have a 30% coupon?
Please answer quick, and please show steps on how you did it, tysm.
Nia's backpack after 30% off represents 70% of the original backpack cost. Setting up a ratio of 70/100 = 14/X, we can solve for the original price, X. Patrick will pay $20 if he does not have a 30% off coupon.
Explanation:This problem can be solved using a bit of Percentage Calculations. We know that after a 30% discount, Nia's backpack cost $14. This means that $14 represents 70% of the original backpack cost (100% - 30%). So to find out the 100%, or the full price, we need to determine what number 70% is 14 of. We can set up a ratio to find the original cost (X).
The steps are:
We write the equation 70/100 = 14/X where X is the original price.Then we cross-multiply to solve for X: 70 * X = 100 * 14. Which simplifies to X = (100 * 14) / 70Calculate the value to get X = 20.So, the backpack would cost Patrick $20 without a 30% off coupon.
Learn more about Percentage calculation here:https://brainly.com/question/329987
#SPJ2
What’s 448+1.75+80.3 step by step
Answer:
530.05
Step-by-step explanation:
you add 448 and 1.75 together, which is 449.75, then you add 449.75 and 80.3 together, which adds up to 80.3 hope this helps :)
I am having trouble with the last question. “Suppose that y=2.5 when x=1.5. Write a formula that expresses y in terms of x.”
y=2x-0.5
Step-by-step explanation:
Given the expression of Δy in terms of Δx as;
Δy=4/2 Δx
Given y=2.5 and x =1.5 then substituting in the equation above will give;
y-2.5=2(x-1.5)
y-2.5=2x-3
y=2x-3+2.5
y=2x-0.5
Learn More
Linear equations:https://brainly.com/question/8738418
Keywords : formula, expresss
#LearnwithBrainly
To write a formula that expresses y in terms of x, we can use the equation y = mx + b. Substitute the given values of x and y into the equation and solve for m and b. The final formula is y = 1.67x + 1.25.
Explanation:To write a formula that expresses y in terms of x, we need to determine the relationship between y and x. In this case, we know that when x = 1.5, y = 2.5. So we can start with the equation y = mx + b, where m is the slope and b is the y-intercept.
Using the given values, we can substitute x = 1.5 and y = 2.5 into the equation y = mx + b: 2.5 = 1.5m + b. Now we can solve for m and b by using the given values and algebraic manipulation.
By rearranging the equation and substituting the values of x and y, we can determine the formula that expresses y in terms of x. The final formula will be y = 1.67x + 1.25.
Learn more about Writing a formula for y in terms of x here:https://brainly.com/question/14824020
#SPJ6
a company pays its salespeople $2,000 a month and a commission of 18% of their total sales (T). which of the following equations represents a salespersons total monthly income (I) ?
Answer:
2,360
Step-by-step explanation:
18% of 2,000 is 360
(0.18)*(2,000)=360
2,000 + 360 = 2,360
Answer: I=2000 + 0.18 T
Step-by-step explanation:
Evaluate
c
2
−
3
+
6
d
2
c
−3+
d
6
start fraction, c, divided by, 2, end fraction, minus, 3, plus, start fraction, 6, divided by, d, end fraction when
c
=
14
c=14c, equals, 14 and
d
=
3
Answer:
The answer = 6
Step-by-step explanation:
Given expression:
[tex]\frac{c}{2}-3+\frac{6}{d}[/tex]
To evaluate the given expression, when [tex]c=14[/tex] and [tex]d=3[/tex]
Solution:
We have:
[tex]\frac{c}{2}-3+\frac{6}{d}[/tex]
Plugging in [tex]c=14[/tex] and [tex]d=3[/tex] in the given expression, to evaluate.
⇒ [tex]\frac{14}{2}-3+\frac{6}{3}[/tex]
Evaluating:
⇒ [tex]7-3+2[/tex]
⇒ 6 (Answer)
Answer:
hmm 6
Step-by-step explanation:
y=x^2+8x+12 find the y-intercept for the parbola
Answer:
Y(x+2) (x+6)
Step-by-step explanation:
how do u figure out the area of a rectangle
Answer:
Step-by-step explanation:
Hey there) We do it like this:
[tex]6\times 3\times 4+3\times 3\times 2=90[/tex]
Hope, this helps. Have a nice day :)
16 please like I’m dying here
Answer:
well i need to see the graph
Step-by-step explanation:
Both forms are equivalent, just different ways to write the same thing
==============================================
Explanation:
Use the slope formula first
The points we plug in are (x1,y1) = (-3,4) and (x2,y2) = (6,1)
m = (y2-y1)/(x2-x1)
m = (1-4)/(6-(-3))
m = (1-4)/(6+3)
m = (-3)/(9)
m = -1/3
The slope of the line is -1/3
Use one of the points, say the point (x,y) = (-3,4) and the slope we just found with y = mx+b. The goal is to solve for b
y = mx+b
4 = (-1/3)*(-3) + b
4 = 1 + b
4-1 = b
3 = b
b = 3
We have m = -1/3 as the slope and b = 3 as the y intercept
Therefore, the equation in slope intercept form is y = (-1/3)x + 3
In standard form, Ax+By = C, this is is equivalent to x+3y = 9 after we multiply both sides by 3, then add x to both sides.
What is the best estimate for this sum? 1/8+1/6
The best estimate for the sum of 1/8 and 1/6 is 5/24.
Explanation:The best estimate for the sum of 1/8 and 1/6 is 5/24.
To find the sum of fractions, we need to find a common denominator, which is the least common multiple of the denominators. In this case, the LCM of 8 and 6 is 24.
Thus, we can rewrite 1/8 as 3/24 and 1/6 as 4/24.
Adding 3/24 and 4/24 gives us a total of 7/24, which can be simplified to 5/24.
Learn more about Fractions here:https://brainly.com/question/33564650
#SPJ11
The best estimate for the sum of 1/8 and 1/6 is 1/4. Thus, the closest estimate is Option A.
To determine the best estimate for the sum of 1/8 and 1/6, we can use approximate fractions that are easier to work with. 1/8 is approximately equal to 0.125 and 1/6 is approximately equal to 0.167. Adding these decimal values together gives us:
0.125 + 0.167 ≈ 0.292
Given this, we can conclude that the sum will be closer to 1/4 than to 1/2 or 1. So, the best estimate for the given sum is Option A.
Complete question:
What is the best estimate for this sum?
1/8+1/6
A. The sum will be close to 1/4.
B. The sum will be close to 1/2.
C. The sum will be close to 1.
Peter needs to sell 40 candy bars to raise money for his basketball team. He sold 16 bars last week and 18 bars this week. How many more candy bars does Peter need to sell?
16+18 = 34
40 - 34 = 6
He needs to sell 6 more candy bars.
A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41°. How tall is the lighthouse?
The height of lighthouse is 52.2 yards
Solution:
Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41 degree
The diagram is attached below
Consider a right angled triangle ABC
AB is the height of the lighthouse
BC is the distance between the base of a lighthouse and Photographer
As per given, BC = 60 yards
Angle between the ground and the top of the lighthouse is 41 degree
Angle ACB = 41 degree
To find: height of lighthouse i.e AB = ?
We know that,
[tex]tan(\angle ACB) = \frac{Perpendicular}{Base}[/tex]
Here Base is BC and perpendicular is AB
[tex]\tan 41^{\circ}=\frac{A B}{B C}[/tex]
Substituting the values,
[tex]\begin{aligned}&\tan 41^{\circ}=\frac{A B}{60}\\\\&0.8692=\frac{A B}{60}\\\\&A B=0.8692 \times 60=52.157 \approx 52.2\end{aligned}[/tex]
Thus the height of lighthouse is 52.2 yards
Answer:
52.2
Step-by-step explanation:
It was correct on my assignment
in a certain class,10 of 24 students play sports. what is the ratio of students who play sports to those who do not?
Answer:
Step-by-step explanation:
Student who don't play sports = 24 - 10 = 14
the ratio of students who play sports to those who do not = 10 : 14 = 5:7
Step-by-step explanation:
10:24
5:12
is can be you answer
In the equation below, for what value of c does x = 4?
1 / (2x + 4) = 3x-c
Answer:
Option D.
Jenn's answer is not correct. She got it substituting [tex]c=4[/tex] into the equation and solving for "x".
Step-by-step explanation:
Given the following equation:
[tex]\frac{1}{2}(2x + 4) = 3x-c[/tex]
Since you need that [tex]x=4[/tex], you hace to substitute that value into the equation:
[tex]\frac{1}{2}(2(4) + 4) = 3(4)-c[/tex]
Now you need to solve for "c":
[tex]\frac{1}{2}(8 + 4) = 12-c\\\\\frac{12}{2}= 12-c\\\\6=12-c\\\\c+6=12\\\\c=12-6\\\\c=6[/tex]
Therefore for a a value of [tex]c=6[/tex], you get [tex]x=4[/tex]
Then, the you can identify that the correct answer is the one given in the Option D.
Jenn made a mistake, because she substituted [tex]c=4[/tex] into the equation and then solve for "x":
[tex]\frac{1}{2}(2x + 4) = 3x-(4)\\\\x+2=3x-4\\\\2+4=3x-x\\\\6=2x\\\\\frac{6}{2}=x\\\\x=3[/tex]
To determine the value of c when x equals 4 in the given equation, substitute x with 4 and solve for c. The resulting value of c is approximately 11.9167.
Explanation:To find the value of c for which x = 4 in the equation 1 / (2x + 4) = 3x - c, we start by substituting x with 4:
1 / (2×4 + 4) = 3×4 - c
1 / (8 + 4) = 12 - c
1 / 12 = 12 - c
Now we solve for c:
1 / 12 = 12 - c
c = 12 - 1 / 12
c = 12 - 0.0833
Finally, we find the value of c:
c = 11.9167
Therefore, for x = 4, the value of c is approximately 11.9167.
Steve is driving 440 miles to visit the Grand Canyon he drives at an average rate of 55 mph explain how you could find the amount of time it will take Steve to get to the Grand Canyon
Answer:
8 hour.
Step-by-step explanation:
because for it takes 1 hour for 55 miles .
so,
here, divide the 440/55 =8 hours.
explanation,
it takes 1 hour to complete the 55 miles and here we have to complete the 440 miles.
so, above we divide the 440 miles by 55 miles for hour. result =8 hour
to verify the answer.
you can multifly by 8 * 55 and result=440miles. because it is directily propotional.
for another to verify the answer.
dived the 440/8 and result comes=55 miles / hour.becauseit is directly propotional.
Therefore, it will take Steve approximately 8 hours to drive to the Grand Canyon.
Explanation:To find the amount of time it will take Steve to get to the Grand Canyon, you can divide the distance he needs to travel (440 miles) by his average rate (55 mph). This will give you the time it takes in hours:
Time = Distance / Rate
So, in this case:
Time = 440 miles / 55 mph = 8 hours
Therefore, it will take Steve approximately 8 hours to drive to the Grand Canyon.
Learn more about Finding time to travel a distance here:https://brainly.com/question/35903024
#SPJ3
An apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant. The apartment building has 92 total occupants.
2× + 16 =92
How many double-occupancy apartments are currently rented?
The currently rented double-occupancy apartments are 38 apartments.
Step-by-step explanation:
An apartment has rented x apartments with two occupants and 16 apartments with one occupant and the total occupants were 92, these can be written in the equation as
[tex]2x+16=92[/tex]
To find the number of double occupancy apartments that are rented, we need to solve the equation and find the value of x.
[tex]2x+16=92[/tex]
Subtracting 16 from both sides of the equation,
[tex]\begin{aligned}&2 x=92-16\\&2 x=76\end{aligned}[/tex]
Dividing both sides by 2, we get,
[tex]\begin{aligned}\frac{2 x}{2} &=\frac{76}{2} \\x &=38\end{aligned}[/tex]
Thus, there are 38 double-occupancy apartments are currently rented.
The correct answer is that there are 38 double-occupancy apartments currently rented.
To solve the problem, we start with the given equation that represents the total number of occupants in the apartment building:
[tex]\[ 2x + 16 = 92 \][/tex]
This equation takes into account that each double-occupancy apartment (x) houses two occupants, and there are also 16 single-occupancy apartments. We want to find the value of x, which represents the number of double-occupancy apartments.
First, we subtract 16 from both sides of the equation to isolate the term with x:
[tex]\[ 2x + 16 - 16 = 92 - 16 \][/tex]
[tex]\[ 2x = 76 \][/tex]
Next, we divide both sides of the equation by 2 to solve for x:
[tex]\[ \frac{2x}{2} = \frac{76}{2} \][/tex]
[tex]\[ x = 38 \][/tex]
Therefore, there are 38 double-occupancy apartments currently rented in the building. This matches the correct answer provided at the beginning.
what is the equation of a line that passes through (1,3) and (4,9)
y = 2x + 1 is the equation of a line that passes through (1,3) and (4,9)
Solution:
Given that we have to write the equation of a line that passes through (1,3) and (4,9)
Let us first find the slope of line
The slope of line is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here the given points are (1,3) and (4,9)
[tex](x_1, y_1) = (1, 3)\\\\(x_2, y_2) = (4, 9)[/tex]
Substituting the values in formula, we get,
[tex]m = \frac{9-3}{4-1}\\\\m = \frac{6}{3} = 2[/tex]
Thus slope of line is 2
The equation of line in slope intercept form is given as:
y = mx + c -------- eqn 1
Where, "m" is the slope and "c" is the y - intercept
To find the y intercept, substitute (x, y) = (1, 3) and m = 2 in eqn 1
3 = 2(1) + c
c = 1
Thus the equation of line is:
Substitute c = 1 and m = 2 in eqn 1
y = 2x + 1
Thus equation of line is found
Water tank A has a capacity of 250 gallons and is 77% full. Water Tank B is 68% full. The ratio of the capacity of tank A to tank B is 5 : 14. What is the capacity of tank B?
Answer:
Water tank A has a capacity of 250 gallons and is 77% full. Water Tank B is 68% full. The ratio of the capacity of tank A to tank B is 5 : 14. What is the capacity of tank B?
Step-by-step explanation:
Water tank A has a capacity of 250 gallons and is 77% full. Water Tank B is 68% full. The ratio of the capacity of tank A to tank B is 5 : 14. What is the capacity of tank B?
Consider the solution to the linear equation. 5 (x + 6) = 50. 5 x + 30 = 50. 5 x = 20. x = 4. Which describes the inverse operations used after the distributive property? addition then division subtraction then division multiplication then subtraction division then addition
Answer:b
Step-by-step explanation:
Answer:
Subtraction then Division
Step-by-step explanation:
Right on Edg
Rearrange the equation so n is the independent variable.
3m – 2n = 12
To make 'n' the independent variable, solve the equation 3m - 2n = 12 by isolating n to obtain n = (3/2)m - 6.
Explanation:To rearrange the equation 3m - 2n = 12 so that n is the independent variable, you'll want to solve for n. Here's how you do it step by step:
Start with the original equation: 3m - 2n = 12.Isolate the term containing n by moving the other terms to the opposite side of the equation: -2n = -3m + 12.Divide both sides of the equation by -2 to solve for n: n = (3/2)m - 6.This way, n is now expressed as a function of m, making n the independent variable in the equation.
Find the sum of the whole numbers from 1 to 960
Step-by-step explanation:
A quick way to do this sort of question:
First add the last number and the first number:
1 + 960 = 961
Then divide the total amount of numbers by 2.
960 ÷2 = 480
Now multiply these two numbers together:
961 × 480 = 461280
The sum of the whole numbers from 1 to 960 can be found using the formula for the sum of an arithmetic series. By substituting the values into the formula, we find that the sum is 461280.
Explanation:The sum of the whole numbers from 1 to 960 can be found using a simple formula for the sum of an arithmetic series. The formula is S = n/2 * (a + l), where 'n' is the number of terms, 'a' is the first term, and 'l' is the last term.
In this case, 'n' is 960 (there are 960 terms from 1 to 960), 'a' is 1 (the first term), and 'l' is 960 (the last term).
Plug these values into the formula to get: S = 960/2 * (1 + 960) = 480 * 961 = 461280. So, the sum of the whole numbers from 1 to 960 is 461280.
Learn more about arithmetic series here:https://brainly.com/question/31366683
#SPJ3
Write an equation that represents the sum of b and 5x2
Answer:
The expression that represents the sum of b and [tex]5x^2[/tex] is [tex]b+5x^2[/tex]
Step-by-step explanation:
Given that the sum of b and [tex]5x^2[/tex]
To find the expression that represents the sum of b and [tex]5x^2[/tex] :
The sum of b and [tex]5x^2[/tex] can be written as [tex]b+5x^2[/tex]
Therefore The sum of b and [tex]5x^2[/tex] is [tex]b+5x^2[/tex]
The expression that represents the sum of b and [tex]5x^2[/tex] is [tex]b+5x^2[/tex]
Compare |− 4 25 | and |− 7 20 |.
Answer:
Step-by-step explanation:
| - 425 |=425
| - 720 |=720
Beacause 720>425=>| - 720 |>| - 425 |
What is the slope of the line that passes through the points (-7, -7) and (-7, 1)? Write your answer in simplest form.
Answer:
undefined, stays on x so straight vertical - vertical line is undef slope
Answer: The slope is undefined
Step-by-step explanation:
The slope of a line is calculated using the formula :
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]x_{1}[/tex] = -7
[tex]x_{2}[/tex] = -7
[tex]y_{1}[/tex] = -7
[tex]y_{2}[/tex] = 1
Substituting the values into the formula , we have :
m = [tex]\frac{1-(-7)}{-7-(-7)}[/tex]
m = [tex]\frac{8}{0}[/tex]
m = undefined
Pick the correct equation for the line below:
y=x^2 y + 90
y=3x + 90
y = 90x - 10
y = -10x + 90
Answer:
none of above because the correct equation is y= -3x+90
PLEASE ANYONE!!!
The table below shows selected points from a function.
The rate of change for the interval shown in the table is
A. constant
B. not constant
part b
A. linear
B. not linear
Enter an algebraic expression that represents the difference between e squared and twenty-one.
Answer:
e
[tex]d = e {}^{2} - 21 [/tex]
Answer:
e
Step-by-step explanation:
d = e {}^{2} - 21
Slope=2; (14,33)
What is the slope
Step-by-step explanation:
Hi! I am a little confused because in this question they would normally ask for the equation of the line but if you are wondering what the slope is, it says in the information that the slope is 2. I will solve for the line equation anyway though.
A line has this form: y=mx+b.
For this question they will want us to give the answer with x and y as variables (letters) and m and b (the slope and y-intercept respectivly) with numerical values.
First, we can put in the point into the equation. The point given is (14,33) so the x value is 14 and they y value is 33.
y=mx+b
33=m(14)+b
We know the slope is 2 (from the given information) so we can substitute that in for m.
33=(2)(14)+b
Solving for b, the Y-intercept, we get b=5.
Perhaps your question was "what is the Y-intercept" and then this would be the answer.
Finally, the final equation for the line is:
y=2x+5
Hope this helps!