System #1
2x + 3y = 12 and 4x + 3y = 18
I'd use elimination on this one; we subtract equations and the 3y disappears,
2x = 6
x = 3
3y = 18-4x = 18 - 4(3) = 18 = 12 = 6
y = 2
System #2
y = 2x +1 and y =-3x -2
Here I'd use elimination; we have two things equal to y, we eliminate y by setting the right sides equal to each other,
2x + 1 = -3x - 2
5x = -3
x = -3/5
y = 2x+1 = -1/5
check y=-3x -2 = 9/5 - 10/5 = -1/5, good
System #3
x = 2y + 5 and x + 3y = 25
Here I'd use substitution. The first equation is for x in terms of y; if we substitute it into the second equation we'll just have an equation in y.
(2y + 5) +3y = 25
5y + 5 =25
5y = 20
y = 4
x = 2y+5 = 13
The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9
feet by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening?
Door 1
Door 2
diagonal: 10 feet
Door 3
diagonal 3 V10 feet
Door 4
diagonal: 6
feet
diagonal: 12 feet
Door 1
Door 2
Door 3
Door
Answer:
Door 3 diagonal 3√10 feet
Step-by-step explanation:
The diagonal of a rectangle is the hypotenuse of a right triangle whose legs are the side lengths of the rectangle. That is, the diagonal of a 9 ft by 3 ft rectangle will have length ...
d = √(9² +3²) = √90 = 3√10
Any "9 ft by 3 ft" figure that has a diagonal different from this is not a rectangle. To fit the rectangular opening, we want a rectangular door—one with a diagonal of 3√10 feet.
Answer:
Door 2
Step-by-step explanation:
Which of these BEST explains the construction of a network of railroads linking Europe together during the nineteenth
century?
A)
Rail service allowed armies to move quickly across Europe.
Rail service allowed people to visit their families across Europe.
Rail service provided many people across Europe with job
opportunities.
Rail service provided more efficient means to transport goods across
Europe.
D)
pretty sure its D
pretty sure its d
The primary reason for the construction of a network of railroads in Europe during the 19th century was to provide a more efficient means to transport goods, promoting trade and boosting economical growth, although it also facilitated the movement of armies and people.
Explanation:The best explanation for the construction of a network of railroads linking Europe together during the nineteenth century is that the Rail service provided more efficient means to transport goods across Europe. This period, known as the Railway Age, saw exponential growth in the expansion of railroads because they created an efficient and faster way for countries to trade goods, thus boosting their economies.
Not only did the burgeoning rail network provide a means for rapid movement of goods, but it also facilitated the movement of people, creating job opportunities and promoting cultural exchange.
While it is true that rail service allowed armies to move quickly and people to visit families across the continent, the primary impetus for the expansion of the rail network was economic – facilitating trade and industry.
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What is the value of \dfrac{x^2}{y^1}
y
1
x
2
start fraction, x, squared, divided by, y, start superscript, 1, end superscript, end fraction when x=10x=10x, equals, 10 and y=5y=5y, equals, 5?
Answer:
20???
Step-by-step explanation:
The value of the expression x^2/y when x equals 10 and y equals 5, is computed by squaring x, which equals 100 in this instance and then dividing the result by y. Therefore, the result is 100 divided by 5, which equals 20.
Explanation:The subject of this question is determining the value of the expression x^2/y, a topic in Mathematics, specifically in Algebra. In this case, we are given that x = 10 and y = 5. The expression presented in the question is x^2/y. This mathematical expression states that x should be squared (i.e., x times x, which equals 10 times 10 in this instance) and the result should then be divided by y. Therefore, the solution can be found as follows:
First, square the value of x: 10*10 = 100.Then, divide this result by the value of y: 100/5 = 20.So, the value of x^2/y when x = 10 and y = 5 is 20.
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Which of the following describes what happens when you change the a value in the equation shown below?
Answer:
Step-by-step explanation:
Changing the "a" value changes x-intercepts because when you distribute the "a" value to the binomials or the factored pairs to the right then the suitable x value which makes the quadratic equation also changes.
e
Try It!
» A florist makes bouquets that include 50 white flowers
and 7 red flowers. If the florist orders 1,050 white
flowers and 140 red flowers, there will be leftover
flowers. How can the florist adjust the order so there
are no leftover flowers?
Answer:
The florist needs to order me 7 more red flowers then there will be enough for 21 bouquets, with no flowers left over.
Step-by-step explanation:
If she had given back 50 of the others then the florist would classify that as left over stock, so she would need to order and ask for 7 more.
1050 / 50 = 21
140/7 = 20
Get on the phone and get me 7 red roses.
Given the graph of the function F(x) below, what happens to F(x) when x is a very small positive number?
O
A. Fx) is a negative number with a large absolute value.
O
B. F(x) is a negative number with a small absolute value.
O
C. F(x) is a very large positive number,
O
D. F(x) is a very small positive number.
Answer:
f(x) is a negative number with a large absolute value
Step-by-step explanation:
The f(x) when x is a very small positive number then it is a negative number with a large absolute value.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable). In other words and the physical sciences, functions are indispensable for formulating physical relationships.
From the graph of the function F(x) below,
We can conclude that F(x) is a negative number with a large absolute value.
when x is a very small positive number.
Therefore, the correct option is A.
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What do you spend your money on? Do you think you’re making good investments?
Answer:yes
Step-by-step explanation:I spen my money on video games
Factor this expression completely. −3x − 12 A) 3(x + 4) B) 3(x − 4) C) −3(x + 4) D) −3(x − 4)
Answer:
C
Step-by-step explanation:
Look at the coefficients in the expression: -3 and 12. The largest number that divides them both is 3. That means you can factor out either a 3 or a negative 3. Try 3.
3(-x - 4) is not on the list of answers. Also, it's unusual to factor out a value that leaves a negative coefficient on x.
Try factoring out -3.
-3(x + 4) is answer choice C.
Bonus
Because this is a multiple-choice question without a "non of these" option, you can solve the problem by expanding--multiplying out--the answers!
A. 3(x + 4) = 3x + 12 ...nope, not it
B. 3(x - 4) = 3x -12 ...nope, not it
C. -3(x + 4) = -3x -12 ...bingo!
Combine like terms to create an equivalent expression.
1.3b+7.8-3.2b1.3b+7.8−3.2b
Answer:
-1.9b + 7.8
Step-by-step explanation:
The equivalent expression for the given expression is -1.9b+7.8.
The given expression is 1.3b+7.8-3.2b.
We need to combine like terms to create an equivalent expression.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Now, combine like terms:
The like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic terms, only the numerical coefficients can vary.
Then, 1.3b+7.8-3.2b=(1.3b-3.2b)+7.8
=-1.9b+7.8
Therefore, the equivalent expression for the given expression is -1.9b+7.8.
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HELP ME NEED TO SUBMIT IN 6 MINUTES
WILL MARK BRAINLIEST FOR CORRECT ANSWER
Answer:c
Step-by-step explanation:
Answer: I would say it is 36
Step-by-step explanation:
Carly works at a local bakery. She needs 8 cups of flour to make a cake and 4 cups of flour to make 16 cupcakes. It she started the
day with 18 pounds of flour, and one pound of flour equals four cups of flour, how much flour will Carly have left after she makes 4
cakes and 32 cupcakes?
OA. 65 cups
OB. 64 cups
OC. 32 cups
OD. 24 cups
Answer:
All things said, Carly needs 32 cups for compose her bakery items.
Step-by-step explanation:
First, let' see how much flower in all would need to be used for the following delicacies, knowing she started with 72 cups of flower.
4 x 8 = 32 cups for the cake
4:16 = for only 16 cupcakes, so double it 8:32... 8 cups of flour.
Thus, 8+32= 40 & 72-40= 32
All things said, Carly needs 32 cups for compose her bakery items.
I hope this helped!!
~ Penny
Write the equation of the circle.
A circle with a diameter having endpoints at (0, 1) and (6,-4)
Answer:
(x - 3)² + (y + 1.5)² = 15.25
Step-by-step explanation:
Centre: midpoint of the diameter
(h,k) = (0+6)/2, (1-4)/2
= (3, -3/2)
Radius = ½(diameter)
Diameter = sqrt(6² + (-4-1)²)
sqrt(61)
Radius = sqrt(61)/2
Equation:
(x - h)² + (y - k)² = r²
(x - 3)² + (y + 1.5)² = 15.25
an angle cuts off 1/8 of the circle. What is the measure of this angle?
45 degreesAnswer:
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
When you take 1/8 out of a circle. It would be 1/8 of 360 degrees. 1/8 of 360 is 45.
one cup hold 8 ounces of liquid if a cup is 2/3 full how many ounces are in the cup?
Answer:
5.33 ounces repeating
Step-by-step explanation:
If a cup is 2/3 full 5.33 ounces are in the cup.
What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Given
1 cup holds 8 ounces
2/3 holds [tex]2/3 * 8[/tex] ounces = 5.33 ounces
Therefore, If a cup is 2/3 full 5.33 ounces are in the cup
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Determine the intercepts of the line
Pls mark Brainliest.
Answer:
Y-intercept or b = 2.5
X-intercept = 3.5
Step-by-step explanation:
The y-intercept is where the graph intersects on the y-axis, where x=0.
Thus, the y-intercept or b = 2.5.
The x-intercept is where the graph intersects on the x-axis, where y=0.
Thus, the x-intercept = 3.5.
What is the maximum value of the function shown on the graph?
A) −1
B) −2
C) 0
D) 1
What is the value of StartFraction 1 Over 6 Superscript 0 EndFraction? One-sixth 0 1 undefined
Answer:
1
Step-by-step explanation:
just took the test :)
Answer:
1
Step-by-step explanation:
The volume of a cone is 164 pi cubic feet. Its height is 12 feet. Ashlyn is finding the area of the base of the cone. Her work is shown below.
V = one-third B h. Step 1: 164 pi = one-third pi B (12). Step 2: 164 pi = 4 pi B. Step 3: StartFraction 164 pi Over 4 pi EndFraction = B. Step 4: 41 = B.
What is Ashlyn’s error?
In step 3, Ashlyn did not subtract 4 pi from 164 pi.
In step 2, Ashlyn did not find the correct value for multiplying One-third and 12.
In step 1, Ashlyn included a factor of Pi on the right side of the formula.
In step 1, Ashlyn did not substitute the correct value for the height in the formula.
Answer:
think is c
Step-by-step explanation:
Hence In step 1, Ashlyn included a factor of Pi on the right side of the formula
What is volume?Volume is capacity of object any object can hold.
How to solve?V = one-third B h.
Step 1: 164 pi = one-third pi B (12).
Step 2: 164 pi = 4 pi B.
Step 3: 164 pi /4= B.
Step 4: 41 = B.
But in these steps pi is included in RHS but it should be in LHS side
Hence In step 1, Ashlyn included a factor of Pi on the right side of the formula
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Draw the rectangle with vertices (2,1), (5,1), (5,3), (2,3)
Answer:
I drew the rectangle below
Step-by-step explanation:
I used the graph below for the rectangle
If this answer is correct, please make me Brainliest!
If abdikadir can write 1275 words in 3 pages how many words can he write in 5 pages?
Answer:
He can write 2125 words
Step-by-step explanation:
We can use a ratio to solve
1275 words x word
------------------- = ------------
3 pages 5 pages
Using cross products
1275* 5 = 3x
Divide each side by 3
1275*5/3 = 3x/3
2125 =x
He can write 2125 words
Answer:
2,125 words
Step-by-step explanation:
1275/3 = 425 words per page
425 * 5 = 2,125 words
At a restaurant a meal used to cost $10, but a new owner decided to raise the price by 12 percent. How much does this meal cost?
Answer:
$11.20.
Step-by-step explanation:
10(.12)= 1.2
10 + 1.2 = 11.20
Feel free to let me know if you need more help! :)
Janine has a ribbon that is ⅚ foot long. She wants a piece ⅔ this size. How big will it be?
Answer:
1.25 ft long
Step-by-step explanation:
Answer:
6.66 in
Step-by-step explanation:
2/3 of 10 inches is
6.66
Find the simple interest earned on $580 invested at 2 1/2% for 15 years.
Look at the attached picture⤴
Hope this will help u...
Select the expression that is equivalent to the following:
12^-6 × 12^-5
BRAINLIST AND 30 POINTS
A 1/2 Kilogram of flour is packed equally into 8 bags. How much flour is in each bag?
Answer:
1/16
Step-by-step explanation:
So if you want to divide an amount equally, you divide the numbers. In this scenario, what you would do is this:
1/2 needs to be split 8 times
(1/2)/8
If you have something like this where the numerator is a fraction, then you multiply 2x8. that gives you 16, so now you add the 1 on top and you get 1/16.
A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
33One-third%
50%
66Two-thirds%
200%
Answer:
66%
Step-by-step explanation:
- First, add 20 + 10 = 30. This will give you the total amount of games.
- Now, make this into a fraction for won games. This should be 20/30.
- Next, take 20/30 and simplify it. You should get 2/3 as a fraction.
- Now, take 2 and divide by 3. (2/3) You should get .66 repeating. This is equal to 66%.
- Therefore 66% is the answer.
- Hope this helps! If you need a further explanation please let me know.
Is this statement true or false high school students with a C average or above qualify for good student standing on their auto insurance
Answer:
True
Step-by-step explanation:
Keep getting good grades and you will be fine
Answer:
yes
Step-by-step explanation:
just keep it up and study
I need help on this math problem.
Answer:
its A.
Step-by-step explanation:
i don’t understandddd please helppp
Answer:
[tex]214in^{2}[/tex]
Step-by-step explanation:
First we find the area of the regular hexagon.
Area = 4√3*24
Area ≈ [tex]166in^{2}[/tex]
Now we find the area of the other shaded region, which is a parallelogram.
Area = bh
The base of the parallelogram is congruent to one of the sides of the regular hexagon, which means the base is 8 inches.
To find the height, we have to look at the right triangle next to the parallelogram. As we can see, the long leg of the right angle is perpendicular to the base of the parallelogram, and since the height of a parallelogram is perpendicular to its base, we find out that the height of the parallelogram is 6 inches.
Now we find the area.
Area = 6*8
Area = [tex]48in^{2}[/tex]
Now we add the both areas.
[tex]166 in^{2}+48 in^{2}=214 in^{2}[/tex]
The area of the composite figure is ≈ [tex]214 in^{2}[/tex]
Ginny has a package of 80 cards. There are 40 yellow cards
and 40 red cards.
If she randomly picks 4 cards, how many cards should she
expect to be yellow?
Answer:
She should pick at least 2 cards because it is a 50 50 chance.
Step-by-step explanation:
It is very obvious unless it is rigged