Answer:
She should pour 11.68 more grams
Step-by-step explanation:
If Melissa wanted to pour 30.78 grams of salt into a container and already has poured 19.1 grams she should pour 11.68 grams more
QUESTION DOWN BELOW PLEASE HELP!! ITS DUE SOON!
The unknown angles of the triangle and trapezium are as follows:
∠1 = 110°, ∠2 = 40°∠1 = 120°, ∠2 = 60°How to find angles in a triangle and trapezium?A triangle is a polygon with three sides.
The sum of angles in a triangle is 180 degrees.
Therefore, angle 1 can be found as follows:
∠1 = 180 - 40 - 30
∠1 = 180 - 70
∠1 = 110 degrees.
Therefore, angle 2 can be found as follows:
∠2 = 180 - 40 - 40 - 30 - 30
∠2 = 180 - 80 - 60
∠2 = 180 - 140
∠2 = 40 degrees.
A quadrilateral is a polygon with 4 sides. The sum of angles in a quadrilateral is 360 degrees.
Therefore, the triangle in the trapezium is an isosceles triangle. The base angles are equal.
Hence,
∠1 = 180 - 30 - 30
∠1 = 180 - 60
∠1 = 120 degrees
Sum of angles in the same transversal is supplementary.
Therefore,
90 + 30 + ∠2 = 180
∠2 = 180 - 120
∠2 = 60 degrees
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What is the correct evaluation of 3x - x + 2, when x is equal to -4?
Answer:
When x = -4, the equation's answer is -6.
Hope this helps!
Step-by-step explanation:
3(-4) - ( -4 ) + 2
-12 - (-4) +2 ( negative times negative is positive )
-12 + 4 + 2
-8 + 2 or -12 + 6
is -6
factorise 3^2-16x +5
Answer:
3²- 16x +5
9-16x+5
-16x+9+5
-16x + 14
Step-by-step explanation:
I hope this will be helpful for you.
Which of the following could be an equation of g?
A) g(x)= (x-5)(x-9)
This is the answer because basically you need to find the roots of the function, since the function g intersects the x-axis at x=5 and x=9 you can conclude easily that those are the roots.
If:
x=5
g(5)=(5-5)(5-9)=0(-4)=0
and
If:
x=9
g(9)=(9-5)(9-9)=(4)(0)=0
The mean of the values in a data set is b. If each of the values in the data set
were multiplied by 8, what would be the mean of the resulting data?
A. 9b
B. 7b
C. b
D. 8b
Answer:
The answer is D.
Step-by-step explanation:
I hope 'm not too late answer your question good luck.
Tickets for the monster truck rally cost $12 for children and $20 for adults. Last
night 400 total tickets were sold for a total of $6000. Use c for the child tickets and
a for adult tickets. If one of the equations for this system is a + c = 400, write
the second equation for this system below.
Answer:
20a + 12c = 6000
Step-by-step explanation:
a = adult tickets
c = child tickets
$20 for adults, $12 for children, for a total of $6000
20a + 12c = 6000
a + c = 400
HELP pleasee
A. 15
B. 5
C. 10
Answer:
the answer has to be b
Step-by-step explanation:
Gabe is paid semi monthly and contributes 9% of the total cost of his individual healthcare coverage he pays $48.47 per paycheck towards this contribution what is the total value of Gabes healthcare coverage for the year
Cost of the health insurance is $12925.33
What is cost?
A cost is the worth of cash that has been used up to create it or supply a function and is thus no longer accessible for use in manufacturing, research, commerce, or bookkeeping. In business, the cost might be one of procurement, in which case the money being spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's direct capital costs above and beyond the amount paid to the producer. Typically, the package includes a gross margin above the cost of manufacture.
9% of x = 48.47
x = 48.47 x 100/9
= $538.55
Total cost = $538.55 x 24 months = $12925.33
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Mom and Dad have decided to put themselves on a strict budget so that the family can save money to go onvacation. For breakfast, the family decides to spend no more than $20.00 for the week.Each day, the family eats 1/3 of a pound of granola and drinks 2/7 of a liter of milk for breakfast.Milk costs $4,49 per liter, but different types of granola have different prices.If the family only buys one type of granola for the week, what is the price per pound of the most expensivegranola they can afford?Explain your solution using logic, tables, graphs, and/or algebraic reasoning.
For breakfast, the family decides to spend no more than $20.00 for the week.
Each day, the family drinks 2/7 of a liter of milk for breakfast.
For the entire week, the amount of milk consumed is
[tex]7\times\frac{2}{7}=2\; \text{liters}[/tex]Milk costs $4,49 per liter, so the cost of the total amount of milk consumed is
[tex]2\times\$4.49=\$8.98[/tex]So, the amount left for the granola is
[tex]\$20.00-\$8.98=\$11.02[/tex]Each day, the family eats 1/3 of a pound of granola for breakfast.
For the entire week, the amount of granola consumed is
[tex]7\times\frac{1}{3}=\frac{7}{3}\; \text{pounds}[/tex]Let x be the price per pound of the most expensive granola they can afford.
[tex]\begin{gathered} \frac{7}{3}\cdot x=\$11.02 \\ x=\$11.02\cdot\frac{3}{7} \\ x=\$4.72 \end{gathered}[/tex]Therefore, the most expensive granola they can afford is $4.72
Find the area of a rectangle that is 2 7/9 m long and 4 4/5 m wide. Enter your answer as a mixed number and reduce if possible.
Answer:
13 ⅓.
Step-by-step explanation:
The area of a rectangle is given by
Area = Length × Breadth
Length = 2 7/9 = 25/9 and breadth = 4 4/5 = 24/5
.: Area = 25/9 × 24/5 = 600/45 (15 can go to both the numerator and denominator)
We have 40/3 but to convert it to a mixed fraction we get 13 ⅓ as your area.
Given f(x) = 2x² -x+3
Find f(x)
The function f(x) = 2x² - x + 3 equals to 9 when x is equal to 2.
What is function in mathematics?
In mathematics, a function is an expression, rule, or law that establishes the connection between an independent variable and another variable (the dependent variable). In mathematics, functions exists everywhere, and they are crucial for constructing physical links in the sciences.
The function given in the question is:
f(x) = 2x² - x + 3
We have to find f(x) when x = 2,
We are replacing x with 2 in given function, we get:
f(x) = 2(2)² - 2 + 3
f(x) = 2(4) -2 + 3
f(x) = 8 -2 +3
f(x) = 9
Hence the given function equals to 9 when x is equal to 2.
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Complete question
Given f(x) = 2x² -x+3
Find f(x) when x = 2
6. The following observations are arranged in ascending order. The median of the data is 25 find the value of x. 17, x, 24, x + 7, 35, 36, 46 (3 Points)
The value of x = 18.
What is median?
The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set.
Median = [tex]\frac{n+1}{2} ^{th}[/tex] term
Given that,
The median of the data is 25.
The observations are 17, x, 24, x+7, 35, 36, 46.
Here, n = 7
Median = 25
Median = [tex]\frac{7+1}{2} ^{th}[/tex] term
Median = [tex]\frac{8}{2}^{th}[/tex] term
Median = 4[tex]^{th}[/tex] term
Median = x+7
25 = x+7
X = 25-7
X = 18
Here, x+7
X+7 = 18+7
X+7 = 25.
Therefore, the value of x is 18.
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find two rational numbers lying between 1 and 1.2
Answer:
1.1 and 1.12
Step-by-step explanation:
a rational number is any number that can be written as a fraction or a decimal that does not go on forever (unless it is a repeating decimal, ex: 3.454545..)
so any decimal that can be written as a fraction that is between 1 and 1.2 works
What is the equation of the line that is perpendicular to y = 3x + 3 and passes through the point (−6, 9)?
The equation of the line will be equal to 3y = -x + 21.
A line may be defined as the straight figure drawn which has no end points. The equation of a line can be written in slope intercept form as y = mx + c where m is the slope of line, c is y intercept an x and y are independent and dependent variables. If a point (x₁, y₁) is given then equation of line is (y - y₁) = m (x - x₁). The slope of line which is perpendicular to a given line having slope m is equal to -1/m.
Now, equation of line is y = 3x + 3. If we compare with slope intercept form then, m = 3. Now, slope of line perpendicular to this line is equal to -1/3. Now, equation of line passing through point (-6, 9) is given as
(y - 9) = -1/3 (x + 6)
3y - 27 = -x - 6
=> 3y = -x + 21 which is the required equation of line.
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On a coordinate plane, a graph curves up through (negative 2, negative 5) to inflection point (0, 1), and then curves up through (1, 4). Consider the graph shown. Which ordered pairs are on the inverse of the function? Check all that apply.
The ordered pairs are on the inverse function are (-5, -2) and (4, 1)
What are inverse functions?Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function
How to determine the ordered pairs on the inverse of the function?From the question, we have the following coordinate points
Point (negative 2, negative 5)Inflection point (0, 1)Curves up through (1, 4)Rewrite the points as:
Point (-2, -5)Inflection point (0, 1)Curves up through (1, 4)Remove the inflection point.
So, we have
Point (-2, -5)Curves up through (1, 4)The next step is to switch/swap the positions of x and y in the above equation ordered pairs
So, the points become:
Inverse point (-5, -2)Another inverse point (4, 1)Hence, the ordered pairs that are on the inverse function of the function are (-5, -2) and (4, 1)
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Answer:
its
A(-5,-2),
B(0,-1),
E(1,0),
F(4,1).
Step-by-step explanation:
i took one for the team
PART F Write the equation of a line that goes through the coordinate (5, 3) and has a slope of 3
I got y=3x-12 I am not sure if it's right
Your answer is correct.
Zeke learned that he could make another
$2,000 a year if he became fluent in Spanish.
If he intends to learn the language and work another 10 years at that job, how much is learning Spanish worth to him?
If Zeke learned that he could earn another $2000 a year if he become fluent in Spanish and he intended to learn the language and work another 10 years at that job, then the amount is learning Spanish worth to him is $20000
The extra amount he could make if he learn Spanish = $2000
The number of years he works = 10 years
To find the extra amount, we have to use multiplication
The extra amount he could make if he learn Spanish = The extra amount he could make if he learn Spanish × The number of years he works
Substitute the values in the equation
= 2000×10
Multiply it
= $20000
Hence, if Zeke learned that he could make another $2000 a year if he become fluent in Spanish and he intended to learn the language and work another 10 years at that job, then the amount is learning Spanish worth to him is $20000
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Urgenttt!!!!!!!!!!!!!
Which of the following expressions is accurate for angle 8 that intersects the unit circle at point (-0.949, 0.314).
Cos(0) = - 0.949 this expression is accurate for the unit circle which is intersected at point by angle 8 according at point (-0.949, 0.314).
What is circle ?An elliptical plane figure is a circle. From a fixed location known as the circle's center, each point on the circle is equally distant. It has a two-dimensional (2D) shape and a radius value. The Latin word "circulus" (which means little ring) is the root of the English word "circle."A circle is a two-dimensional shape that is made up of a collection of points that are spaced out from the center of the circle (its fixed point) on the plane by a fixed or constant distance (radius). The radius of a circle is the fixed distance between points that is fixed from the fixed point, which is known as the origin or center of the circle.
The terminal side of angle 0 intersects the unit circle at point P(- 0.949, 0.314) That means, OQ = 0.949 and PQ = 0.314
Here, OP is the radius of the unit circle. So, OP = 1
In respect of angle 0, the adjacent side is OQ and the hypotenuse is OP.
We know that,
cos= [tex]\frac{adjacent}{hpotenusey}[/tex]
So,
cos(0) = - [tex]\frac{OQ}{OP}[/tex] [As the angle is in quadrant II, so cos is negative]
cos(0) = - [tex]\frac{-0.949}{1}[/tex]
cos(0) = - 0.949
Cos(0) = - 0.949 this expression is accurate for the unit circle which is intersected at point by angle 8 according at point (-0.949, 0.314).
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At the end of a snow storm, Julian saw there was a lot of snow on his front lawn. The
temperature increased and the snow began to melt at a steady rate. Let S represent
the depth of snow on Julian's lawn, in inches, t hours after the snow stopped falling.
A graph of S is shown below. Write an equation for S then state the z-intercept of
the graph and determine its interpretation in the context of the problem.
answer:
the y-intercept is 15 which is the initial total depth of the snow at t=0 hours.
The rate of melting is 1.5inches per hour. It will take 10 hours at the melting rate given of 1.5 to melt all the snow.
Step-by-step explanation:
the y-intercept is 15, and it might mean that the total depth of the snow is 15 inches.
The rate of melting is 1.5inches per hour.
At time = 0, S=15 - 1.5t = 15 - 1.5(0) = 15 inches to start
At time = 10, S=15 - 1.5t = 15 - 1.5(10) = 0 inches; meaning all snow has melted and it took 10 hours.
6.07 X 10^7 in standard form
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6.07 \times 10^7}\\\mathsf{= 6.07(10^7)}\\\mathsf{= 6.07(10\times10\times10\times10\times10\times10\times10)}\\\mathsf{= 6.07(100\times100\times100\times10)}}\\\mathsf{= 6.07(10,000\times1,000)}\\\mathsf{= 6.07(10,000,000)}\\\mathsf{= 60,700,000 \rightarrow 6.07\times 10^7}\\\\\huge\text{Therefore, your answer should be: }\boxed{\mathsf{60,700,000}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A system of linear equations is given by the tables. One of the tables is represented by the equation y = -x + 7.
X
0
3
6
9
y
5
6
7
8
X
-6
-3
0
3
y
9
8
7
6
The equation that represents the other equation is y=
The solution of the system is (
)
4
X +
Reset
Next
y = 1 / 3 x + 5 is the linear equation for the first table.
The system of equations' answer is (3, 6).
Linear Equation: What Is It?A linear equation is an algebraic equation of the form y= mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The previous equation, which has the variables y and x, is sometimes referred to as a "linear equation with two variables."
based on the available facts;
Equation of a point slope:
y = mx + b,
where m = slope and b = y-intercept
As a result, the equation for the second table is y = - 1 /3 x + 7.
With the help of the table's (0, 5)(3, 6) values, the equation for the first table may be solved. Therefore,
m = 6 - 5 / 3 - 0 = 1 / 3
let's find b using (0, 5)
5 = 1 / 3(0) + b
b = 5
Therefore, the equation of the first table is as follows:
y = 1 / 3 x + 5
The solution to the system of equation can be calculated as follows:
y + 1 /3 x = 7
y - 1 / 3 x = 5
2y = 12
y = 12 / 2
y = 6
6 - 1 / 3 x = 5
- 1 / 3 x = 5 - 6
- 1 / 3 x = - 1
x = 3
Therefore, the solution to the system of equation is (3, 6)
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Find the value of x
It’s the green one pls help me
how do you solve this?
According to the given values, the length of the arc is 1 cm approx.
What is an arc?An arc is, in general, any straight curve that connects two points. The term "arc length" refers to an arc's length. A graph arc is an ordered pair of adjacent vertices in a graph. An arc is specifically any section of a circle's circumference (other than the entire curve).So, the formula to find the length of the arc:
Arc Length = θ × (π/180) × rNow, substitute the values in the formula as follows:
Arc Length = θ × (π/180) × rArc Length = 8π/9 × (π/180) × 16.5Arc Length = 8π/9 × π/180 × 16.5Arc Length = 2π/9 × π/45 × 16.5Arc Length = 2π × π/45 × 1.8Arc Length = 6.28 × 3.14/45 × 1.8 (π = 3.14)Arc Length = 11.304 × 3.14/45Arc Length = 1.256 × 3.14/5Arc Length = 3.94384/5Arc Length = 0.788768Rounding off: 1.00 cmTherefore, according to the given values, the length of the arc is 1 cm approx.
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USING PROPERTIES Find the product. Write your answer as a fraction in simplest form. $\left[-\frac{2}{3}\ \ \cdot\left(-\frac{5}{7}\right)\right]\cdot\ \left(-\frac{9}{4}\right)=$
By algebra properties, the rational expression [(- 2 / 3) · (- 5 / 7)] · (- 9 / 4) is equivalent to the following rational expression in simplest form: - 15 / 14.
How to simplify the product of three fractions
In this problem we find a product of three rational numbers, which we must simplify by using algebra properties, especially those of related to rational numbers:
[(- 2 / 3) · (- 5 / 7)] · (- 9 / 4) Given
[(2 / 3) · (5 / 7)] · (- 9 / 4) (- a) · (- b) = a · b
(10 / 21) · (- 9 / 4) Multiplication of fractions
- [(10 / 21) · (9 / 4)] (- a) · b = - a · b
- 90 / 84 Multiplication of fractions
- 45 / 42 Simplification of fractions
- 15 / 14 Simplification of fraction / Result
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Homany zeros are in the product (6×5)×10^3
Find the midpoint of the segment with the following endpoints.
(9, 2) and (5,5)
Answer:
(7,3.5)
Step-by-step explanation:
Midpoints
x = (x1 + x2)/2 = (9 + 5)/2 = 14/2 = 7
y = (y1 + y2)/2 = (2 + 5)/2 = 7/2 = 3.5
Miguel pays $68 biweekly for health insurance which is 14% of the total cost his employer pays the rest what is the total annual cost to the nearest dollar of Miguel's health insurance
Cost of the health insurance is $11657.14
What is cost?
A cost is the worth of money that has been used up to create something or supply a service and is thus no longer accessible for use in production, research, retail, or accounting. In business, the cost might be one of acquisition, in which case the money spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's additional transaction costs over and above the amount paid to the producer. Typically, the price includes a profit margin above the cost of manufacture.
14% of x = 68
x = 68 x 100/14
= $485.71
Total cost = $485.71 x 24 months = $11657.14
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Find an equation for the line perpendicular to the line −7x+2y=3 having the same y-intercept as 9x+3y=−2.
The equation of the line perpendicular to the line −7x+2y=3 having the same y-intercept as 9x+3y=−2 is y = - 2 / 7x - 2 / 3
How to find equation of a line?The equation of a line can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the equation of the line is perpendicular to −7x+2y=3.
−7x+2y=3
2y = 7x + 3
y = 7 / 2 x + 3 / 2
Perpendicular lines follows the rule below:
m₁ m₂ = -1
7 / 2 m₂ = -1
7m₂ = -2
m₂ = - 2 / 7
Therefore, the equation of the line also haver the same y-intercept as
9x + 3y = −2.
3y = - 9x - 2
y = -3x - 2 /3
The y-intercept of the equation is - 2 / 3.
Hence
the equation of the line is y = - 2 / 7x - 2 / 3
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Chef Kim baked his famous casseroles for a company holiday party. The casseroles had different shapes and different delicious fillings. Spinach Cheese Rectangle 3 8 Circle 3 4 What is the probability that a randomly selected casserole is shaped like a rectangle giver that the casserole is filled with spinach? Simplify any fractions.
Explanation
The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible
[tex]P=\frac{favorable\text{ outcomes}}{\text{total outcomes}}[/tex]then
Step 1
Let
rectangle filled with spinach= favorable outcomes=3
total outcomes= total casseroles= 3+8+3+4=18
Now, replace.
[tex]\begin{gathered} P=\frac{favorable\text{ outcomes}}{\text{total outcomes}} \\ P=\frac{3}{18} \\ P=0.1666 \\ \text{rounded} \\ P=0.17 \end{gathered}[/tex]therefore, the answer is 0.17
I hope this helps you
You are offered two different furniture sales jobs. The Furniture Barn offers you a job that pays straight commission of 5% of the sales. The Furniture Warehouse offers you a job that pays a salary of $350 per week plus 1% of the sales. How much would you have to sell in a week in order for the job at The Furniture Barn to pay as well as the job at The Furniture Warehouse? Round the answer to the nearest cent.
A = amount of sales
so hmmm The Furniture Barn gives only 5% of "A" then, that means
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of A}}{\left( \cfrac{5}{100} \right)A}\implies 0.05A[/tex]
whilst The Furniture Warehouse gives you 350 bucks per week and only 1% of "A", well, that means you gross pay there will 350 + 0.01A.
hmmm how much will "A" be for both offers to pay the same amount?
[tex]\stackrel{Furniture~Barn}{0.05A}~~ = ~~\stackrel{Furniture~Warehouse}{350 + 0.01A} \\\\\\ 0.04A=350\implies A=\cfrac{350}{0.04}\implies \boxed{A=8750}[/tex]