Write the equation of the line that passes through the given point and is parallel to the given line.
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Please help because I'm pretty sure I got the right answer but making sure.
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PROBLEM #2A package contains 56 cups of oatmeal. A batch ofcookies requires 2 34 cups of oatmeal. Is thereenough oatmeal to make 21 batches of cookies?Explain. Show your work to prove your answer.
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First, calculate the total amount of cups of oatmeal required to make 21 batches of cookies by multiplying 21 times 2 3/4:
[tex]21\times2\frac{3}{4}=21\times2+21\times\frac{3}{4}[/tex]Simplify that fraction:
[tex]\begin{gathered} =42+\frac{21\times3}{4} \\ =42+\frac{63}{4} \\ =42+\frac{60+3}{4} \\ =42+\frac{60}{4}+\frac{3}{4} \\ =42+15+\frac{3}{4} \\ =57+\frac{3}{4} \\ =57\frac{3}{4} \end{gathered}[/tex]Since a total of 57 3/4 cups of oatmeal are needed to make 21 batches of cookies, but a package contains only 56 cups of oatmeal, therefore, there is not enough oatmeal to make 21 batches of cookies.
Find The Measurement Of <6
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The measure of ∠6 from the given figure is 45°.
From the given figure, the measure of angle is 135°.
What are Co-interior angles?Co-interior angles occur in between two parallel lines when they are intersected by a transversal. The two angles that occur on the same side of the transversal always add up to 180°.
From the given figure,
135° + ∠6 = 180° (Co-interior angles adds upto 180°°)
⇒ ∠6 = 180°-135°
⇒ ∠6 = 45°
Therefore, the measure of ∠6 from the given figure is 45°.
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i need help on this question
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What do I need to know?
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[tex]-2f(x)\implies -2[\log_2(x)]\implies \log_2\left( x^{-2} \right)\implies \log_2\left( \cfrac{1}{x^2} \right)=g(x) \\\\[-0.35em] ~\dotfill\\\\ f(x-2)\implies \log_2(x-2)=j(x) \\\\[-0.35em] ~\dotfill\\\\ f(x)+2\implies \log_2(x)+2=h(x)[/tex]
What is an equation of the line that passes through the points (6, 5) and (8, -6)?
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Answer:
y= -11/2 x +38
Step-by-step explanation:
to find slope:
m= -6-5/8-6 m= -11/2
to find the y-intercept:
y= -11/2 x +b
5 = -11/2(6) + b
5 = -33 + b
38 = b
so then:
y= -11/2 x +38
What are the five theorems / rules used to prove that two triangles are congruent?
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Answer:
The first of the congruency theorems is
1) SSS :
Side-Side-Side or SSS is a kind of triangle congruence rule where it states that if all three sides of one triangle are equal to all three corresponding sides of another triangle, the two triangles are considered to be congruent. Two or more triangles are said to be congruent when the measurements of the corresponding sides and the corresponding angles are equal.
2) SAS:
SAS congruence is the term which is also known as Side Angle Side congruence, which is used to describe the relation of two figures that are congruent. Let's discuss the SAS congruence of triangles in detail to understand the meaning of SAS
Consider the two tringles blelow
Under this criterion, if the two sides of a triangle are equal to the two sides of another triangle, and the angle formed by these sides in the two triangles are equal, then these two triangles are congruent. The SAS Criterion stands for the 'Side-Angle-Side' triangle congruence theorem.
3) AAS:
The AAS Theorem says: If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. Notice how it says "non-included side," meaning you take two consecutive angles and then move on to the next side (in either direction).
4) ASA:
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
5)HL:
The HL Theorem states; If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Lalile vatte... Student: Login Students and Famili... ReadWorks C Clever | Portal Madison White - Su... XL for School: Practice & Problem Solving https://useast2-ww... 7.5.PS-18 Question Help Zari folds the net shown into a model of a solid figure. How many edges, faces, and vertices does the model have? The model has edges, faces, and vertices. Enter your answer in the edit fields and then click Check Answer: All parts showing Clear All Check Answer Review
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Looking at the figure, the faces of the solid figure will be made from each small triangle in the 2D figure, so since we have 4 small triangles, the solid figure will have 4 faces.
Also, the central small triangle will be the base of the solid figure, and there we have 3 vertex. Each vertex of the bigger triangle will unite and become only one vertex in the solid figure, so in total we will have 4 vertices.
Then, for the number of edges, we have the 3 edges of the base of the solid figure, and we have more 3 edges, each one going from one vertex of the base into the fourth vertex of the solid figure. So in total we have 6 edges.
It's easier to see and count this amount of faces, vertices and edges when we fold the 2D figure and create the solid figure:
Which of the following is the prime factores form of the lowest common denominator of
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We need to find the primed factor form of the lowest common denominator of the fractions 2/15 and 5/12, hence we first need to find the lowest common factor between 15 and 12, let's do that by listing the multiples of each number:
12, 24, 36, 48, 60, 72, ....
15, 30, 45, 60, 75, ....
From the multiples above we notice that the least common denominator will be 60.
Now we need to find the prime factorization of 60, let's do that:
[tex]60=2\times2\times3\times5[/tex]Since we can't have any further factorization of the factors this is the prime factored form of the LCD, therefore, the answer is the third option.
30% in 85 209
please
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Answer: 25.5 im pretty sure
Step-by-step explanation:
Please do #1 under where it says “Mixed review slide 8”
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The coins are in the shape of a cylinder.
The formula to calculate the volume of a cylinder is given as
[tex]V=\pi r^2h[/tex]where
[tex]\begin{gathered} r=\text{ radius} \\ h=\text{ height} \end{gathered}[/tex]The individual coin has the following dimensions:
[tex]\begin{gathered} r=1\text{ in} \\ h=0.0625\text{ in} \end{gathered}[/tex]Thus, the volume of one coin can be calculated as
[tex]\begin{gathered} V=\pi\times1^2\times0.0625 \\ V=0.196\text{ cubic inches} \end{gathered}[/tex]If there are 225 coins in the chest, the combined volume of all the coins will be
[tex]\begin{gathered} V_T=0.196\times225 \\ V_T=44.1\text{ cubic inches} \end{gathered}[/tex]The combined volume is 44.1 cubic inches.
Lillian país sixty one dollars and thirty nine venta for groceries . The digit 3 in this number has a value of a.(3×10) dollarsb.(3×1) dollarsc.(3×0.01) dollard.(3×0.1) dollar
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Given in the scenario:
a.) One Dollar and Thirty Nine, in digit, is equal to $1.39.
The digit 3 in $1.39 is in the Tenth (0.1) decimal place.
Therefore, the digit has a value of 3 x 0.1 dollars which is equal to $0.3.
The answer is letter D.
pefume discounted 25% on sale for 27$
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how do you put [tex]y = - \frac{3}{2} x + 3[/tex]on a graph
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The equation to graph is:
[tex]y=-\frac{3}{2}x+3[/tex]Let's break it down and see how can we EASILY graph this!!
The first point is to always put x = 0 and find the y-value. This way, we graph the y-intercept. Thus,
[tex]\begin{gathered} y=-\frac{3}{2}x+3 \\ y=-\frac{3}{2}(0)+3 \\ y=3 \end{gathered}[/tex]So, y-intercept is (0, 3).
Now, look at the slope, the constant before "x". It is -3/2.
The numerator is rise and denominator is run.
Thus, from the y-intercept, we move "-3" units "rise" (y-direction) and "2" units "run" (x-direction).
We will arrive at (2,0).
Then we can make this move again!
We will arrive at (4, -3).
That's it!!
We can now graph the 3 points found, draw a smooth line through these points and that's our line!!
The graph of the line is shown below:
You are the financial planner for Johnson Controls. Assume last year's profits were $700,000.
The board of directors decided to forgo dividends to stockholders and retire high-interest outstanding bonds that were issued 5 years ago at a face value of $1,250,000. You have been asked to invest the profits in a bank. The board must know how much money you will need from the profits earned to retire the bonds in 10 years. Bank A pays 6% Compounded
quarterly, and Bank B pays 61.5% compounded annually. Which bank would you recommend, and how much of the company's profit should be placed in the bank? If you recommended that the remaining money not be distributed to stockholders but be placed in Bank B, how much would the remaining money be worth in 10 years? Show your work.
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A financial concept known as future value (FV) assigns a value to an asset based on anticipated factors like future interest rates or cashflows.
The answer is as follows:
a-1: Bank B
a-2: Profit $665875
b. Future Value $64056.04
What is meant by Future Value?A financial concept known as future value (FV) assigns a value to an asset based on anticipated factors like future interest rates or cashflows. Knowing how much their investment would be in five years, given a projected rate of return, may be valuable for an investor. Future value is the idea of taking the investment's current value, applying anticipated growth, and estimating what the investment will be in the future.
For planning purposes, future value is used to estimate what an investment, cash flow, or expense might be in the future. Given the future worth of an investment, investors utilize the future value to decide whether or not to proceed with it.
Future value can also be used to assess risk, calculate the rate at which a specific expense will increase if interest is paid, or set a savings goal to see whether adequate reserves will be made in light of the present savings rate and the anticipated rate of return.
Therefore, the answer is as follows:
a-1: Bank B
a-2: Profit $665875
b. Future Value $64056.04
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Find
152.87+35.4
. Express your answer in decimal form.
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2. Stephanie will be sending 2 parcels of personal items to her niece. The big parcel weighs 12
lbs 11 oz and the smaller parcel is 3 lbs 1 oz lighter than the big parcel. What is the combined
weight of the two parcels?
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Weight of the two parcels 22lbs 5oz.
What is Weight?
The force exerted on an object by gravity is known as its weight. The gravitational force acting on the item is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.
Given,
The weight of big parcel = 12lbs 11oz
The weight of small parcel = 12lbs 11oz - 3lbs 1oz
= 9lbs 10oz
The weight of total parcel = big parcel + small parcel
= 12lbs 11oz + 9lbs 10oz
= 21lbs 21oz = 22lbs 5oz
Hence, The weight of the 2 parcels is 22lbs 5oz.
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Please help me with both I’ll mark you brainly
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Answer:
See picture below
Step-by-step explanation:
It took a long time for my picture to show up.
or = to compare ž, 1.75, and -0.75. ThenHaru was asked to compare and order threerational numbers. Show how he can use <, >,23order these numbers from least to greatest.+-2-101NHelppppo
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It's important to know that proper fractions like 2/3 are between 0 and 1, specifically, 2/3 is equal to 0.67.
Now, we have three numbers, 0.67, 1.75, and -0.75. If we organize the numbers from least to greatest we have -0.75, 0.67, and 1.75. Then, we use the inequality symbols to express this order.
[tex]-0.75<\frac{2}{3}<1.75[/tex]The symbols are telling us that -0.75 is less than 2/3, and 2/3 is less than 1.75.
Now, let's graph this relation between the three numbers.
What is the rate of change in the graph below?
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Answer
Rate change = 1
Step-by-step explanation:
Rate change means the slope on the graph
Slope = rise / run
Rise = y2 - y1
Run = x2 - x1
Slope = y2 - y1 / x2 - x1
From the graph, Given the picked points
(5, 5) and (-5, -5)
x1 = 5, y1 = 5, x2 = -5, and y2 = -5
Slope = -5 - 5 / -5 -5
Slope = -10 / -10
Slope = 1
Hence, the rate change is 1
In XYZ, XY=14, YZ=22, and XZ=28. What is the measure of angle Z to the nearest degree? *Law of Cosines
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Solution
Draw the diagram
So using cosine rule
[tex]\begin{gathered} z^2=x^2+y^2-2xycosZ \\ \\ cosZ=\frac{x^2+y^2-z^2}{2xy} \\ \\ cosZ=\frac{22^2+28^2-14^2}{2(22)(28)} \\ \\ cosZ=\frac{67}{77} \\ \\ Z=30\degree\text{ \lparen to the nearest degree\rparen} \end{gathered}[/tex]When you translate, (x-4,y) will move
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With the translation rule given by (x,y) -> (x - 4, y), the function will move 4 units left.
TranslationA translation is one of the many transformations that can be applied to the vertices of a figure. Other examples are stretch, compression, rotation, reflection, dilation and so on.
Each of these transformations has their respective characteristics regarding what they change on the transformed figure. For a translation, the figure will move either left, right, up or down(may be more than one of those), keeping it's orientation and congruence.
In the context of this problem, the rule for the translation is given by:
(x,y) -> (x - 4, y)
Hence the meaning is given as follows:
x -> x - 4 means that the figure moves 4 units left.y -> y means that the figure keeps the same vertical position.More can be learned about translations at https://brainly.com/question/28174785
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The table below shows the balance of a savings account b after t weeks where money is being withdrawn at a constant rate Peter can find the balance of the account based on how many weeks have passed.
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B
1) Examining the table we can say the more the independent variable, in this case, t increases by 1 unit, the dependent variable, in this case, b decreases by 50 dollars.
2) Hence the answer is
B. As the independent variable increases by 1, the dependent variable decreases by 50
In a certain Algebra 2 class of 30 students, 8 of them play basketball and 10 of them
play baseball. There are 18 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
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The probability that a classmate picked at random will participate in both basketball and baseball is 0.2.
What in mathematics is a probability?The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions.
Given: In a particular Algebra 2 class of 30 students, 8 play basketball and 10 play baseball. There are 18 students who participate in neither sport.
Let n denote the number of students who participate in basketball and baseball.
The number of students that play both games: 30 = 18 - n + 8 - n + 10 + n
30 = n + 36
n = 36 - 30 = 6
Probability = 6/30 = 0.2
Therefore, the probability that a student chosen at random from the class will play both basketball and baseball is 0.2.
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help meeeeeeeeeeeeeeeeeeeeeee
thank you
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Answer:
x = -2
Step-by-step explanation:
x is represented by the horizontal axis, so read up from the given point to find where it would lie on the x axis.
The following graphs have no scales assigned to them. Which of them couldbe density curves for a continuous random variable if they were provided withthe right scale?Check all that apply.A. Graph AB. Graph BC. Graph CD. Graph DE Graph E
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Given that:
- The graphs have no scales assigned to them.
- You have to identify the ones that could be density curves for a continuous random variable assuming that they have the right scale.
Then, in order to solve this exercise, you need to remember the following:
1. A Probability Density Function is useful to define the probability of a random variable within a distinct range of values.
2. It is also known as PDF.
3. The Probability Density Function is always positive in all its Domain.
4. The total enclosed area under the curve of the function is:
[tex]A=1[/tex]Knowing all these concepts, you can identify that:
- In graph B the area under the curve is 0. Therefore, this cannot be the graph asked in the exercise.
- In Graph C, the function is not positive in its Domain. Therefore, this does not satisfy the properties mentioned before.
Hence, the answers are:
- Option A.
- Option D.
- Option E.
4. If D is the midpoint of CE, CD=4x-19 and DE=2x-1, Find the value of x. Find CE.
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ANSWER
EXPLANATION
We have that D is the midpoint of CE.
We are given that:
CD = 4x - 19
For every 7 questions Anthony answers correctly he typically answers 3 incorrectly there are 30 questions on a test how many questions woild Anthony be expected to answer incorrectlyA.9 QuestionsB.10 QuestionsC.21 QuestionsD.27 Questions
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Given the information, we can see that anthony has 7 correct answers and 3 incorrect in 10 questions, therefore, we can calculate the direct proportion solving for x:
[tex]\begin{gathered} \frac{3}{10}=\frac{x}{30} \\ \Rightarrow x=\frac{3\cdot30}{10}=3\cdot3=9 \\ x=9 \end{gathered}[/tex]Therefore, Anthony would be expected to answer incorrectly 9 questions
Use slope formula to find the slope of the line between the points (5,3) and (7,0)
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The formula for calculating the slope of a line is
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ Where(x_1,y_1)=(5,3)and_{} \\ (x_2,y_2)\text{ = (7, 0)} \end{gathered}[/tex][tex]\begin{gathered} \text{Substituting the values of }(x_1,y_1)\text{ and }(x_2,y_2),\text{ we have } \\ m=\frac{0-3}{7-5} \\ m=\frac{-3}{2} \end{gathered}[/tex]Hence, the slope of the line is -3/2 or -1.5
Jim walked 1/2 of a mile in 1/4 of an hour. at this rate how many miles will he walk in one hour
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Answer:
2 miles
Explanation:
Jim walked 1/2 of a mile in 1/4 of an hour.
[tex]\begin{gathered} \text{In }\frac{1}{4}\text{ of an hour, Jim walked }\frac{1}{2}\text{ miles} \\ \text{Then:} \\ \text{In 1 hour, Jim will walk }\frac{1}{2}\div\frac{1}{4}\text{ miles} \end{gathered}[/tex]We simplify our result:
[tex]\begin{gathered} \frac{1}{2}\div\frac{1}{4}=\frac{1}{2}\times\frac{4}{1} \\ =\frac{4}{2} \\ =2\text{ miles} \end{gathered}[/tex]At this rate, Jim will walk 2 miles in one hour.
