6L 127mL =mL this is the whole question
Answer: 6127mL
Step-by-step explanation:
6L 127mL=
6L+127mL=
6L*1000mL/1L + 127mL=
6*1000/1 mL + 127mL=
6*1000 mL + 127mL=
6000mL + 127mL=6127mL
The value of A is
.
The value of B is
.
The value of C is
.
Answer:
A = 5
B = 9
C = 32
Step-by-step explanation:
a. if the width of the scale factor 1 is 10, then the width of the scale factor 1/2 is 1/2 of 10. so 5.
b. same thing as a. the length for scale factor of 1 is 18 so the length for scale factor of 1/2 is 9.
c. width of scale factor 1 is 10, so width of scale factor 3.2, 10 times 3.2, is 32
Answer:
A = 5
B = 9
C = 32
Step-by-step explanation:
edg 2023
Therefore, if Yolanda deposits $1,900 at the end of each six months for 2 years in a savings account earning 8% interest compounded semiannually, to the nearest cent, she can expect to have
$
.
The amount that Yolanda can expect to have in her account at the end of 2 years is $8,068.28.
What is the future value of the amount deposited?The amount of money that Yolanda deposits twice in a year represents an annuity. An annuity is a series of payment that is made over a specified period of time. An ordinary annuity is when payment is made at the end of each period and not at the beginning of the period. Yolanda's deposit is an ordinary annuity.
When the amount deposited in an account earns interest that is compounded semi-annually, it means that both the amount that is invested and the interest that is already accrued increases in value two time in a year, every six month.
The formula that can be used to determine the future value of the amount that was deposited in the account is:
Future value = amount deposited x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate : 8 / 2= 4%n = number of periods : 2 x 2 = 41,900 x[ {(1.04^4) - 1} / 0.04] = $8,068.28
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3x+4y-5z=-11
4х+ у- z=-5
x-3y + 3z = 2
Left to right elimination
The solution using the elimination method for the values of x, y and z are -1, 3 and 4 respectively.
To solve multiple equation in three variables using the elimination approach, we can either add or subtract the equations. To eliminate a variable, we add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are equal.
Let us classify the given equations as:
3x + 4y - 5z = -11 →→→→ (A)
4х + у- z = -5 →→→→→(B)
x- 3y + 3z = 2 →→→→→(C)
Multiplying equation(C) by 3 and equation (A) by 1 and subtracting we get:
3x + 4y - 5z = -11
3x - 9y + 9z= 6
13y-14z=-17→→→→→→(D)
Multiplying equation(C) by 4 and equation (B) by 1 and subtracting we get:
4x-12y+12z = 8
4x + y - z = -5
-13y+13z=13
or, z-y=1→→→→→→→(E)
Multiplying equation(E) by 13 and equation (D) by 1 and adding we get:
-13y+13z=13
13y-14z =-17
-z=-4
or, z = 4
Substituting the value of z in the equation (E) we get:
z-y=1
or, 4-y = 1
or, -y = -3
or, y = 3
Substituting the value of z and y in the equation (A) we get:
3x+4y-5z=-11
or, 3x+12-20=-11
or, 3x=-11+8
or, x=-1
Hence the solution of x, y and z are -1, 3 and 4 respectively .
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Andre is walking from home to a festival that is 1 5\8 kilometers away. He takes a quick rest after walking 1\3 kilometers. In this situation, which question can be represented by the equation: ?× 1 5\8 = 1\3?
The question that can be represented by the equation: ?× 1 5\8 = 1\3 is a. What fraction of the trip has Andre completed?.
How can we know the question that can be represented by the equation?It was stated that from home to a festival that is 1 5\8 kilometers away, and later after some moments we were told that He takes a quick rest after walking 1\3 kilometers.
Then if we were to know the fraction of the trip has Andre completed, then the calculation will be ?× 1 5\8 = 1\3 which makes the option A that was chosen to be correct.
Therefore, option A is correct.
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CHECK THE MISSING OPTIONS;
a. What fraction of the trip has Andre completed?
b. How many more kilometer does he have to walk to get to the festival?
c. What fraction of the trio is left.
d. How many kilometers is it from home to the festival and back home?
[tex]-5(4-1/2n) + 1/16(-32+8)[/tex]
Answer:
2.5n - 21.5
Step-by-step explanation:
[tex]-5(4 - \frac n2) + \frac1{16}(-32 + 8) \\ \\\to -5 \times 4 + 5 \times \frac n2 - \frac1{16} \times 32 + \frac1{16} \times 8 \\ \\\to -20 + \frac{5n}2 - \frac{32}{16} + \frac{8}{16} \\ \\\to -20 + 2.5n -2 + 0.5 \\ \\\to 2.5n - 21.5[/tex]
triangle ABC is similar to triangle DEF. Find the perimeter of triangle DEF
The perimeter of tr8angle DEF that is similar to triangle ABC is: 18 cm.
How to Find the Perimeter of Similar Triangles?If two triangles are similar to each other, and the perimeter of one is A with a side length of a, and the perimeter of the other is B with a side length of b, then, the following below is the ratio of their perimeters.
Perimeter of A/perimeter of B = a/b
Given that triangles ABC and DEF are similar triangles, we have the following:
Perimeter of triangle ABC = x
One side length of triangle ABC = 4 cm
Perimeter of triangle DEF = 12 + 6 + 9 = 27 cm
One side length of triangle DEF = 6 cm
Therefore:
x/27 = 4/6
Cross multiply
6x = (27)(4)
6x = 108
6x/6 = 108/6
x = 18
Thus, the perimeter of tr8angle DEF that is similar to triangle ABC is: 18 cm.
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16.435< 16.49 > or =
Answer: 16.435 < 16.49
Step-by-step explanation:
how to simplify 5(2x-8) using distributive property
Answer:
Not 100% sure
Step-by-step explanation:
Image result for how to simplify 5(2x-8) using distributive property
The formula for the distributive property is expressed as, a × (b + c) = (a × b) + (a × c); where, a, b, and c are the operands. Here, the number outside the brackets is multiplied with each term inside the brackets and then the products are added.
Find the average
rate of change for the given
function from x = -1 to x = 4. (5 points)
decide which of two given prices are better and explain why. storage locker A rents for $27 per yard squared and storage locker b rents for $1.62 per feet squared
B rents for $1.62 per sq. feet is much cheap and better as compared to A
Yard and feet are used to estimate the length. Both of the units are used in the royal and US customary system of measurements. The value of one yard is equal to three feet.
To compute Square yard to Square Feet, where Square yard is equal to 9 Square Feet, multiply the value in Square yard by 9. one can also use the Square yard to Square Feet calculator.
1 yard² = 9 feet²
A rents for $27 per yard squared
hence A rents $27 for 9 feet squared
hence A rents $3 per feet squared( $27/9) which is costlier than $1.62 per feet squared
Hence B is better as it is cost effective.
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Please show work ThankYou very much 25 points to whoever does it
Answer: 3 answer
Step-by-step explanation:
Marty placed $4000 into an account earning 4% simple interest. At the end of the year he moved the total amount to a new account earning 5% interest. Determine the amount of money Marty would have at the end of the second year.
Answer:
$50400
Step-by-step explanation:
5/100*4000=200+4000=4200*12=50400
Answer:
$4,368
Step-by-step explanation:
At the beginning of the first year, the principal (amount deposited) is $4000 at 4% interest.
The rate of interest in decimal is r = 4%/100 = 0.04
Interest for 1 year = P x r = 4000 x 0.04 = $160
So at the end of the first year, Marty's 4000 deposit will have grown to $4,000 + $160 = $4, 160
He deposits this amount into a new account at 5% interest
Interest rate r = 5%/100 = 0.05
Interest = 4160 x 0.05 = $208.00
Total money at the end of the second year = 4160 + 208 = $4,368
A fast food chain buys burgers from a food supplier.
They're given a discount depending on how many they buy.
The table on the right is used to calculate this discount.
between
The full price of a single burger is 27p.
What is the difference in the price to pay
ordering 1100 burgers as a single order or as two
orders of 550? Give your answer in pounds (£).
Quantity
Fewer than 500
Discount
0
Quantity
500 to 1000
Discount
2/15
Quantity
More than 1000
Discount
3/15
Answer:
89.01 calariese is answer
a. Write an inequality that represents the numbers that are not solutions of x+3.8>11.3 .
Inequality:
Question 2
b. Graph the inequality from part (a).
Inequality that represents the coordinates that are not the solutions of this inequality is x < 7.5. The graph of the inequality is attached at the end.
What are the various operators used in inequalities for comparison?The various operators used in inequalities for expression are -
greater than - ' > 'less than - ' < 'greater than or equal to - ' ≥ 'less than or equal to - ' ≤ 'Given is a inequality in one variable which is → x + 3.8 > 11.3.
PART - A
The inequality that represents the coordinates that are not the solutions of this inequality is -
x + 3.8 < 11.3
or
we can simplify it to get -
Subtract 3.8 from both sides -
x + 3.8 - 3.8 < 11.3 - 3.8
x < 7.5
PART - B
In order to plot the graph of this inequality, firstly we will plot the line of equation -
x = 7.5.
Since, the inequality is strict, make a dashed line to represent the equation.
Take the coordinates of origin O(0,0), and substitute it in the inequality -
0 < 7.5
which is true. Therefore, we will shade the complete side where origin lies.
The graph of the inequality is plotted an attached with the answer.
Therefore, inequality that represents the coordinates that are not the solutions of this inequality is x < 7.5. The graph of the inequality is attached at the end.
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7 Write down two square roots for each of these numbers. b 36 d 196 e 225 f 400
The square roots of 36,196,225 and 400 are ±6,±14,±15 and±20
There exits two square roots of any number one with positive sign and one with negative sign
The first number we have is 36
The square roots of 36 = ±√36 = ±6 or it can be written as 6 and -6
The second number we have is 196
The square roots of 196 = ±√196 = ±14 or it can be written as 14 and -14
The third number we have is 225
The square roots of 225 = ±√225 = ±15 or it can be written as 15 and -15
The fourth number we have is 400
The square roots of 400 = ±√400 = ±20 or it can be written as 20 and -20
Hence, the square roots of 36,196,225 and 400 are ±6,±14,±15 and±20
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At a given time of day, the ratio of the height of an object to the length of its shadow is the same for all
objects. If a 3-ft stick in the ground casts a shadow of 2.4 ft, find the height of a tree that casts a shadow
that is 28.16 ft.
The height of a tree that can cast a shadow of 28. 16 ft is 35. 2 ft
How to determine the heightFrom the information given, we have that;
A 3-ft stick casted a shadow of 2. 4ftThen 'x'bfeet tree would a shadow of 28. 16 ftTo determine the proportion we represent the expression as;
If 3ft casts a shadow of 2. 4ft
Then x ft can cast a shadow of 28. 16ft
cross multiply
x = 28. 16 × 3/ 2. 4
Multiply the numerators
x = 84. 48/ 2.4
x = 35. 2 ft
Thus, the height of a tree that can cast a shadow of 28. 16 ft is 35. 2 ft
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Find the degree of the polynomial,
2x³y²z+x²z
The degree of the polynomial,
2x³y²z+x²z is 3.
Degree of the polynomial is highest occurring power .
so , 3 is highest power so the degree of polynomial is 3.
A polynomial's degree is the largest exponential power in the polynomial equation. To determine the degree of any polynomial, just variables are evaluated; coefficients are ignored. The degree of a polynomial for an nth degree polynomial function with real coefficients and x as the variable with the largest power n, where n accepts whole integer values
A polynomial's degree is the maximum power of a variable in the polynomial equation. Only terms with variables are considered for determining the degree of a polynomial function. The degree of a polynomial is determined by the variable term with the largest exponential power in the polynomial.
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What is the simplified form of the expression the quantity x squared plus 4x minus 21 end quantity divided by 4 times the quantity x plus 7 end quantity?
the quantity x plus 3 end quantity divided by quantity x plus 7 end quantity
the quantity x minus 3 end quantity divided by quantity x plus 7 end quantity
the quantity x minus 3 end quantity divided by 4
the quantity x plus 3 end quantity divided by 4
Answer:
[tex] \sf \frac{(x^3+4x^2+21x+28)}{4}[/tex]
Step-by-step explanation:
Let's simplify step-by-step.
[tex] \sf \: \frac{ {x}^{2} + 4x - 21}{4} \times x + 7[/tex]
Distribute
[tex] \sf \frac{(x^3+4x^2+21x+28)}{4}[/tex]
Answer:
A) x + 3
4
Step-by-step explanation:
if (-2,27) lies on the graph of f, then f( )=_____.
[tex](\stackrel{x}{-2}~~,~~\stackrel{y}{27}) ~~ \textit{lies on }\textit{\LARGE f}\qquad \textit{so then}\qquad f(\stackrel{x}{-2})~~ = ~~\stackrel{y}{27}[/tex]
Read the story.
Many of the sixth-grade students at Valley Middle School have braces on their teeth.
There are 4 students with braces for every 7 students without braces.
There are 28 students that have braces. How many students are there in all?
There are total 77 students in the sixth grade.
Given, there are 28 students that have braces.
out of which there are 4 students with braces for every 7 students.
Therefore, 4 ₊ 7 = 11, which means every 11 member has 4 members with braces.
Therefore, based on the given conditions, formulate:
28 × (4 ₊ 7) ÷ 4
28 × 11 / 4
now cross out the common factors.
7 × ( 11)
multiply the above terms.
77
hence we get the answer as 77 students in total in the class.
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5. Nick's cat eats 6 cups of dry food every 4 days. His sister says that is the same as 15 cups of dry food in 10 days. Is
Nick's sister correct? Explain or show your reasoning?
Help. also coordinates for graph
Answer:
A. Vertex (-3, -1)
B. y-intercept: (0, 8)
C. x-intercept: (-2, 0), (-4, 0)
D. Domain: (-∞, ∞)
E. Range: [-1, ∞)
F. x = -3
G. Coordinates:
(-5, 3)
(-4, 0)
(-3, -1)
(-2, 0)
(-1, 3)
Step-by-step explanation:
y = x² + 6x + 8
(x + 2) (x + 4)
x + 2 = 0 x + 4 = 0
-2 -2 -4 -4
x = -2 x = -4
x-intercept: (-2, 0), (-4, 0)
y-intercept: (0, 8)
y = x² + 6x + 8
y = (0)² + 6(0) + 8
y = 8
Vertex:
a b c
y = x^2 + 6x + 8
-b -(6) -6
x = ------- = ------ = ------ = -3
2a 2(1) 2
y = x^2 + 6x + 8
y = (-3)^2 + 6(-3) + 8
y = 9 - 18 + 8 = -1
Vertex: (-3, -1)
Graph:
(I'm gonna try my best to draw it)
10-
9-
8-
7-
6-
5-
4-
3-
2-
↑ ↑ 1-
--*---|-----*------|-------|-----|-----|-----|------|------|-----|-------|------|-------|------|
-4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
* -1 -
-2 -
-3 -
-4 -
-5 -
-6 -
-7 -
-8 -
-9 -
-10 -
Range: (y-axis)
Min is y = -1
[-1, ∞)
I hope this helps!
Professor Halen has 184 students in his college mathematics lecture class. The scores on the midterm exam are normally distributed with a mean of 72 and standard deviation of 9.
a. How many students in the class can be expected to receive a score over 60?
b. What percent of the class is expected to receive a score between 82 and 90?
Using the normal distribution, it is found that:
a) 167 students in the class can be expected to receive a score over 60.
b) 11.07% of the class is expected to receive a score between 82 and 90.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is above(in case the score is positive) or below(in case the score is negative) the mean. Looking at the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.The mean and the standard deviation for the scores are given, respectively, by:
[tex]\mu = 72, \sigma = 9[/tex]
The proportion of students who scored over 60 is given by one subtracted by the p-value of Z when X = 60, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (60 - 72)/9
Z = -1.33.
Z = -1.33 has a p-value of 0.0918.
1 - 0.0918 = 0.9082.
Out of 184 students:
0.9082 x 184 = 167.
167 students in the class can be expected to receive a score over 60.
For item b, the proportion is the p-value of Z when X = 90 subtracted by the p-value of Z when X = 82, hence:
X = 90:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (90 - 72)/9
Z = 2.
Z = 2 has a p-value of 0.9772.
X = 82:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (82 - 72)/9
Z = 1.11
Z = 1.11 has a p-value of 0.8665.
0.9772 - 0.8665 = 0.1107.
Hence:
11.07% of the class is expected to receive a score between 82 and 90.
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Select the correct answer.
A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the
number of tests on the y-axis and the time in weeks on the x axis
The slope of the line representing number of tests on the y-axis and the time in weeks on the x axis is 0.75.
What is the definition of line slope?A line's slope is a measure of its steepness as well as direction. The slope of a line can be calculated using any two separate points on that line.The slope of a line formula calculates the ratio of "vertical change" to "horizontal change" between two distinct points on a line.The net change in y coordinates is Δy while the net change in x coordinates is Δx.As per the given question;
The total number of week is 36 weeks.
The total test conducted is 27.
As, number of tests are represented on the y-axis and the time in weeks on the x axis.
The slope is constant for the text and weeks.
Thus, slope (m) is determined as;
m = Δy/Δx
m = number of tests/time in weeks
Put the values.
m = 27/36
m = 0.75
Therefore, the slope of the line representing number of tests on the y-axis and the time in weeks on the x axis is 0.75.
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Rewrite u = kx + y, for x
Calculate the price elasticity of supply for Barbie's Bakery's multigrain loaf. When the price changes by 27% , the quantity supplied changes by 59% .
Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part. Price Elasticity of Supply is 2.185.
What is percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.
Price Elasticity of Supply is buyers' responsive change in quantity supplied due to change in Price.
P Es Formula = % change in quantity supplied / % change in price.
Given : % change in supply = 59 ; % change in price = 27
So, P Es = 59 / 27 = 2.185
% change in supply > % change in price & supply is > 1 . So, Supply is Elastic.
Therefore the price elasticity of supply for Barbie's Bakery's multigrain loaf is 2.185.
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What is the missing side length?
Answer:10
Step-by-step explanation:
6+4=10
Fred is 5 years older than George. If George is x
years old write an expression for Fred's age.
How are the values in the
ordered pairs affected by the translation?
In arithmetic, a shape is translated when it is moved up, down, left or right. The translated shapes are congruent to the original shapes because they appear to be the same size. Just one or more of their routes have been changed. No changes to the shape are made because it is simply being moved from one location to another.
By utilizing the aforementioned guidelines, we can move the provided graph to the left, right, up, or down and graph the translated graphs. The coordinates of some points on a graph can be used to translate a graph as an alternative to this. Translation f(x + k) + C for a function graph To get the new x and y coordinates of each point when the graph of the function f(x) is supplied, simply select a few key spots on the graph (where the shape is changing or turning) and proceed as follows.
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