This question was not correctly written
Correct Question
A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 84 toothbrushes. What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover? Describe the contents of each bag.
Answer:
What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover?
28 identical dental care bags
Describe the contents of each bag.
2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.
Step-by-step explanation:
We solve for this using greatest common factor method
Step 1
Find the factors of 56, 84 and 112
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 112 are: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The greatest common factor amongst them is = 28
Hence, the greatest number of identical dental care bags the dentist can make with the least amount of items leftover is 28 bags.
Describe the contents of each bag.
Each bag should contain 2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.
how many solutions does x(x+2)=0
Answer:
Two solutions
Step-by-step explanation:
x(x+2)=0 has two solutions.
x(x+2)=0
x² + 2x = 0
The "x²" can be a good indicator there will be two solutions since it is being "squared" and is been risen to the power of two.
-> We can also see this with graphing, see attached
-> Need to know the solutions? We can find them by solving for looking at the graph, they are x = -2, 0
Identify the property demonstrated.
4(3 + 5) = 4 • 3 + 4 • 5
Answer: Distributive Property
Step-by-step explanation:
Dan invests £13000 into his bank account. He receives 2.3% per year simple interest. How much will Dan have after 4 years? Give your answer to the nearest penny where appropriate.
Answer:
33
Step-by-step explanation:
nth term of 1,2,4,8,16,32,64,...
Answer:
2^(n-1)
Step-by-step explanation:
To find the nth term of the sequence 1, 2, 4, 8, 16, 32, 64,..., we can observe that each term is obtained by multiplying the previous term by 2. Therefore, the pattern can be described by the formula:
nth term = 2^(n-1)
In this formula, n represents the position of the term in the sequence.
For example: I
If we want to find the 5th term, we substitute n = 5 into the formula:
5th term = 2^(5-1) = 2^4 = 16
So, the 5th term of the sequence is 16.
please helpp its extra credit so its not urgent but would be apreciated if you helped!
Answer:
11
Step-by-step explanation:
what is the square centimeters of a figure with 9cm 6cm 6cm 8cm 3cm 14cm
if c is a positive number, how many solutions does x^2= c have?
Answer: 2
Step-by-step explanation:
A positive and negative since you are taking the square root
Translate point (-4,5) nine units right. Write the new coordinate as an
ordered pair. i really don’t understand this!
Answer:
(-4,-4)
Step-by-step explanation:
write the fractions in order from least to greatest. A) -3 3 4 , -3 3 5 , -3 13 20 , -3 17 25 B) -3 3 5 , -3 17 25 , -3 13 20 , -3 3 4 C) -3 3 5 , -3 13 20 , -3 17 25 , -3 3 4 D) -3 3 4 , -3 17 25 , -3 13 20 , -3 3 5
plz help me
Answer:
Can you put slashes (/) in between because it’s hard for me to see what the fractions are
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
An antique vase increases in value from
£770 to £890.
What is the percentage increase?
Answer:
16% or 15.5%
Step-by-step explanation:
so just do (890-770)/770
Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression below.
(2x)(x2) + (2x)(x) + (2x)(–2) + (3)(x2) + (3)(x) + (3)(–2)
Which is the simplified product?
2x3 + 6x2 – x – 6
2x3 + x2 – x – 6
2x3 + 5x2 – x – 6
2x3 – x2 – 7x – 6
Answer:
its C i think :/
Step-by-step explanation:
The simplified product is 2x³ + 5x² - x - 6.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(2x + 3) (x² + x - 2)
(2x)(x²) + (2x)(x) + (2x)(–2) + (3)(x²) + (3)(x) + (3)(–2)
2x³ + 2x² - 4x + 3x² + 3x - 6
2x³ + 5x² - x - 6
Thus,
The final expression is 2x³ + 5x² - x - 6.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
PLEASEE HELP WILL GIVE BRAINLIEST
Given the following polynomial, state the Degree, Leading Coefficient, and Constant.
f(x) = 4x^5 + 5x^3 + x^2 +11
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 4[tex]x^{5}[/tex] + 5x³ + x² + 11
The degree of the polynomial is the value of the largest exponent
Th term with the largest exponent is [tex]x^{5}[/tex] with exponent 5
Thus the degree of the polynomial is degree 5
The leading coefficient is the numeric coefficient of the leading term in standard form.
The leading term is 4[tex]x^{5}[/tex] with leading coefficient of 4
The constant term is the term with no variable attached.
The constant term is therefore + 11
The radius of a circle is 7 in find it's area to the nearest tenth
Answer:
153.9
Step-by-step explanation:
3.14 x 7 x 7 = 153.86 = 153.9
solve the equation 3/x-4=1/5
Answer:
The very first thing we want to do in this equation is to isolate x on one side (preferably the left side).
3/x - 4 = 1/5
We get rid of any constants first, by performing the inverse property;
The inverse property of subtraction is addition, so we add 4 to both sides:
+4 +4
3/x = 4 1/5
3 is being divided by x, so the inverse operation of division is multiplication. So we multiply by 1/3 on both sides.
x1/3 x1/3
X = 1 4/10 which simplifies to 1 2/5.
The Morningside Soccer Team has uniforms on sale for $21.99. There are 22 soccer players on Louis’s team, including Louis. Every player on the team buys a uniform. How much did they pay in all?
$439.80 [A]
$460.68 [B]
$483.78 [C]
$505.77 [D] . Please choose the following.
Answer: $483.78
Step-by-step explanation:
In a National Achievement Test, Joshua obtained a score of 88. In the standardization of the test, μ = 78 and σ = 10. How would you communicate Joshua’s score to his parents? Explain your answer in writing
Using the normal distribution, Joshua's score is communicated as being in the 84th percentile.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 78, \sigma = 10[/tex].
He scored 88, hence X = 88 and his z-score is of:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{88 - 78}{10}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84.
Hence, Joshua's score is communicated as being in the 84th percentile.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Does anyone know how to do this
Answer:
No
Step-by-step explanation:
These two triangles cannot be proven similar as there is only 1 angle which is shared between the two, that being: HMG=JMK since they are vertically opposite angles.
To prove 2 triangles are similar we need at least 2 equal angles.
+ Note that no equal sides are shared by the triangles.
Suppose that 17 inches of wire costs 51 cents. At the same rate, how much (in cents) will 54 inches of wire cost?
Answer:
162
Step-by-step explanation:
At the beginning of the summer, the water level of a pond is 2 feet below its normal level. After an unusually dry summer, the water level of the pond dropped another 1 1/3 feet. Write an equation to show how far above or below the normal water level the pond is at the end of the summer.
Answer:
x - ( 2 + 1 1/3)
=x- 3 1/3
- 3 1/3 feet
The water level of a pond falls 3 1/3 feet below its normal level.
Step-by-step explanation:
The water level of a pond is 2 feet below its normal level.
The water level of the pond dropped another 1 1/3 feet.
So the total level dropped is 2 + 1 1/3
= 2 + 4/3
= 6+4/3= 10/3 = 3 1/3 feet below the normal.
Suppose the normal is at zero then the level of the pond is at the end of the summer is 0 - 3 1/3 = - 3 1/3 feet.
If we represent the normal by x then the equation becomes
x- 3 1/3 feet to show the water level at the end of summer.
Or it can also be written as
x - ( 2 + 1 1/3)
can I get an explanation for what to do here??
Answer:
This is the in and out box where you can plug in the numbers in the x box into the above equations.
y = 7(6) - 3
y = 39
y = 7(5) - 3
y = 32
y = 7(-9) - 3
y = -66
y = 7(1) - 3
y = 4
y = 7(2) - 3
y = 11
A TV has an original price of $599. Enter the new price after the given percent of change. 40% decrease The new price is $
Answer:
359.40
Step-by-step explanation:
599*.40=239.60
599-239.60=359.40
What are the solutions for x when y is equal to 0 in the quadratic function
y= x2 – 8x?
Please help! Select the graph for the solution of the open sentence. |x| < 1
Answer:
The First Graph. (-1 and 1 are connected to each other and have open holes)
Step-by-step explanation:
It is the first graph because we are taking the absolute value of x. If we were to plug in -2, we would result in the absolute version, which is 2. There are open holes at the end of the line segment because |x| is less than 1. If we were using greater than or equal to or less than or equal to, then they would be closed holes.
A middle school held a Career Exploration Day where students could choose to hear an adult talk about his or her career. 15 students went to hear the doctor speak, and 21 students went to other sessions.
What is the probability that a randomly selected student went to hear the doctor?
Answer:
5/12
Step-by-step explanation:
15 students went to hear the doctor speak and 21 students went to other sessions
How many students are there? 15 + 21 = 36 students
Therefore, the probability to randomly select a student that went to hear the doctor is [tex]\frac{15}{36}[/tex], then simplifying it by 3 is [tex]\frac{5}{12}[/tex].
If we want to express it in percentage it would be 41.6%
How many different ways could I order the books on my shelf?" I have enough room for 11 of my 31 books. How many different ways could I order 11 books on my bookshelf?
Answer:
31 divided by 11 in my smartest choice
Step-by-step explanation:
What is the value of the rational expression when x = 5?
The value of the rational function f(x) (x³ + 3x)/(x + 10) on putting the value of x of 5 is 9.3333.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function f is given below.
[tex]f(x ) = \dfrac{x^3 + 3x }{x+ 10}[/tex]
Then the value of f(x) at x = 5 will be given as
[tex]\rm f(x ) = \dfrac{5^3 + 3*5 }{5+ 10}\\\\\\f(x ) = \dfrac{125 + 15}{15}\\\\\\f(x ) = \dfrac{140}{15}\\\\\\f(x) = 9.333[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
Answer:11/25
Step by step: Edge 2023
can someone help me with this, I’ll give ratings
Answer:
-0.6000
Step-by-step explanation:
sin² A + cos² A = 1
sin² A = 1 - Cos² A
= 1 - (4/5)²
= 1 - 0.64
= 0.36
sin A = sqrt 0.36 = 0.6
in quadrant IV sin is negative
sin A = -0.6000
Question 1: Explain why x = 5 makes 2x_< 10 true but not 2x < 10?
Answer:
if the first example is using the less-than sign with a line under it for less than or equal too then it is true because 2*5 would EQUAL TO OR LESS THEN ten. The second example says that 2*5 would be LESS THEN ten
Step-by-step explanation:
What are the roots of the equation 9x2 – 36x +37
O in simplest a + bí form?
Answer:
x = 2+1/3i or 2-1/3i
Step-by-step explanation:
The equation of interest can be written in vertex form as ...
9(x -2)² +1 = 0
so its solutions can be found by subtracting 1, dividing by 9, taking the square root, then adding 2.
x = 2 ± √(-1/9)
In the desired form, the zeros of the given expression are ...
x = 2 +1/3i or 2 -1/3i
in circle C, QP and QR are tangent segments and m<PCR=120° What is m<PQR
C = ~157.08 m
i think its this not sure