Using the elimination method, the given system of equations leads to a solution of x = -1, y = 1, and z = -2.
Explanation:Solving the SystemThe first step in solving this system of equations using the elimination method is to try and eliminate one of the variables. Let's start with eliminating 'z' by adding the first and the third equation: [tex](2x + y - z) + (5x + 7y + z) = 7x + 8y = 13.[/tex]Now we can eliminate 'z' from the second equation as well by subtracting from it twice the first one:[tex]-(-x + 6y + 2z) - 2(2x + y - z) = -3x + 4y = -5.[/tex]Then we solve the new system of two equations: 7x + 8y = 13 and -3x + 4y = -5. Using substitution or elimination on this will give y = 1Substituting y = 1 into the equation -3x + 4y = -5 gives x = -1.Finally, substituting x = -1 and y = 1 into the first original equation 2x + y - z = 9 gives z = -2. So, the solution is x = -1, y = 1, z = -2.Learn more about Elimination Method here:https://brainly.com/question/13877817
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The radius of a sphere is measured to be 3.12 cm. What is the most accurate volume of the sphere you can report?
Answer: 128
Step-by-step explanation:
5(n–2)=5n–10
how many solutions does it have
since the equation on the left can be rewritten :
to be 5n-10 then both sides of the equation are equal
so any real number will work
Lines that are not in the same plane are called
What is 26.99 round to the nearest tenth
What is 32.043 in expanded form
Final answer:
To express 32.043 in expanded form, break it into each digit's value based on its place: 30 (tens) + 2 (ones) + 0.04 (hundredths) + 0.003 (thousandths), resulting in 30 + 2 + 0.04 + 0.003.
Explanation:
The question asks about expressing the number 32.043 in expanded form. Expanded form is a way of writing numbers to show the value of each digit. It involves breaking down the number into each of its digits, multiplied by their respective place value. For the number 32.043:
The '3' is in the tens place, so it represents 30 or 3 * 10.The '2' is in the ones place, so it represents 2 or 2 * 1.The '0' is in the tenths place, so it represents 0 or 0 * 1/10. However, since it contributes no value, it's often omitted in expanded form.The '4' is in the hundredths place, so it represents 0.04 or 4 * 1/100.The '3' is in the thousandths place, so it represents 0.003 or 3 * 1/1000.Therefore, 32.043 in expanded form is 30 + 2 + 0.04 + 0.003.
Slope formula question (Algebra 2)
Which is the correct way to model the equation x + 8 = 7 x + (-8) using algebra tiles?
Answer:
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive tiles and 8 negative unit tiles on the right side.
Step-by-step explanation:
What is the justification for it step in solving the inequality? 75x + 35 > 7(11x+9)+4
Can anyone help, please?
-1.3 ≥ 2.9 -0.6r
Graph the solution
which of the following numbers does not belong 64,16,36,32,8,4 explain
Debra drew this shape on the back of her notebook. What is name of the shape Debra drew? How do you know
find the value of 48 - 32 ÷ 4 · 2
48−32÷4×2
=48−32×24
=48−8×2 or 48−644
=48−16
=32
Answer:
32
Step-by-step explanation:
We have been given an expression [tex]48-32\div 4\cdot 2[/tex]. We are asked to find the value of our given expression.
Using order of operations (PEMDAS), we will divide or multiply from left to right.
Dividing 32 by 4:
[tex]48-8\cdot 2[/tex]
Multiplying 8 by 2:
[tex]48-16[/tex]
[tex]32[/tex]
Therefore, the value of our given expression is 32.
if the area of a garden is 11 square feet what could be the dimensions of the garden
There can be multiple possible dimensions for a garden with an area of 11 square feet depending on its shape. For example, the garden could be 1ft by 11ft, 2ft by 5.5ft, or even a square with each side measuring 3.32 ft.
Explanation:The area of a garden is calculated by multiplying its length by its width. As the area of the garden is given as 11 square feet, possible dimensions for the garden could be 1 foot by 11 feet, 2 feet by 5.5 feet, or any other combinations that, when multiplied, give the result as 11 square feet.
Another way to look at it is that if you imagine the garden as a perfect square shape, each side would be approximately 3.32 feet since 3.32 multiplied by 3.32 equals roughly 11. This is because the square root of 11 is about 3.32.
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Of th 30 girls who tried out for the lacrosse team team at Euclid middle school , 12 were selected. Of the 40 boys show tried out 16 were selected . Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls ? How do you know ?
Write a word phrase for the algebraic expression 3x - 7.
if measure of angle 1 and measure of angle 2 form a linear pair and measure of angle 1 is 18 degrees less than five times the measure of angle 2 what if the measure of angle 1
Annabelle and Navene are multiplying (4 to the power of 2•7 to the power of 5)(4 to the power of3•7 to the power of 2).
Is either of them correct?
Perpendicular lines have slopes that are what
Let x equal the larger outcome when a pair of fair four-sided dice is rolled. find the pmf of x, its mean, variance, and standard deviation.
1-4. I need help. First answer will get brainyest.
Which polygon appears to be regular? Figure A Figure B Figure C Figure D Figure A is a hexagon with varying lengths. Figure B is a pentagon. Figure C is a right triangle. Figure D is a rectangle.
Answer:
Figure B appears to be a polygon under certain conditions.
Step-by-step explanation:
We are given the following information in the question:
Figure A is a hexagon with varying lengths.
Figure B is a pentagon.
Figure C is a right triangle.
Figure D is a rectangle.
We have to find which are the regular polygons.
A regular polygon is a polygon with all the sides equal and all the interior angles have equal measure.That is a regular polygon is equiangular and equilateral.Figure A is not regular because of varying length.
Figure B can be a regular pentagon provided it is equiangular and equilateral
Figure C cannot be a regular polygon because a right angle follows the Pythagoras theorem and all the three sides can never be equal in a right angled triangle.
Figure D cannot be a regular polygon as the length of only opposite sides are equal and not all sides are not equal.
Figure B appears to be a polygon under certain conditions.
Use the fact that the sum of the angles in a triangle is 180 degrees for this question. Two angles of a triangle have the same measure and the third one is 24 degrees greater than the measure of each of the other two. Find the measure of the angles in the triangle.
6x + 10 – 2x = 7 + 23
Had 6 bagels and ate all but 4 of them. how many bagels were left?
NEED HELP WITH
The table shows the annual profit or loss of Famed Film Corporation for the years 2003 to 2010 and the average profit of $0.3375 million for the 8-year period.
year | profits lost/millions
2004 $3.40
2005 $2.10
2006 $?
2007 $0.60
2008 $2.10
2009 -$0.20
20010 $1.30
2011 $-$0.75
average- $1
What was the profit/loss in 2006, in millions? Round your answer to the nearest hundredth.
the point (1,1) is the image under the image under rhe translation (x,y) (x+3,y-3)
The pre-image of the point (1, 1) under the translation (x, y) -> (x+3, y-3) in a coordinate system is the point (-2, 4).
The student's question relates to a translation transformation in mathematics. A translation moves every point of a figure or a space by the same distance in a given direction. In this case, the student has provided a specific translation transformation, which is represented by the formula (x, y)
ightarrow (x+3, y-3). This transformation means that for any point with coordinates (x, y), the translated point will have coordinates where 3 is added to the x-coordinate and 3 is subtracted from the y-coordinate.
If the point (1,1) is an image under this translation, you can find its pre-image by reversing the translation. Thus, subtracting 3 from the x-coordinate of the image and adding 3 to the y-coordinate of the image gives the pre-image coordinates:
Pre-image x-coordinate: 1 - 3 = -2Pre-image y-coordinate: 1 + 3 = 4Therefore, the pre-image of the point (1, 1) under the given translation is (-2, 4).
On monday Mia spent 4 1/2 hrs. studying . on tuesday she spent another 2 4/5 hrs. studying what is the combined time she spent studying
estimate the sum 198, 819, 918
A printer prints 28 photos in 8 minutes. a. How many minutes does it take to print 21 more photos? b. Construct a double number line diagram that represents the situation. How many minutes does it take to print 35 more photos?
It takes 6 minutes to print 21 more photos. It takes 10 minutes to print 35 more photos.
To determine the time it takes to print 21 more photos, we first need to calculate the rate at which the printer prints photos. We can do this by dividing the number of photos printed (28) by the time it takes to print them (8 minutes). This gives us a rate of 3.5 photos per minute.
Next, we can divide the number of additional photos (21) by the rate of photos per minute to find the time it takes to print them. This gives us 21 photos / 3.5 photos per minute = 6 minutes.
Therefore, it takes 6 minutes to print 21 more photos.
To construct a double number line diagram, we create two parallel number lines, one for the number of photos and one for the number of minutes. We mark the starting point on both lines as 0.
Next, we plot the point (28, 8) on the diagram, representing the fact that 28 photos are printed in 8 minutes.
To determine the time it takes to print 35 more photos, we can extend the number of photos line to the point (35 + 28, 8), which is (63, 8). This point represents the fact that 63 photos are printed in 8 minutes.
Finally, we can draw a vertical line from the point (63, 8) on the number of photos line to the number of minutes line. This line intersects the number of minutes line at the point (63, 8 + 10), which is (63, 18).
Therefore, it takes 10 minutes to print 35 more photos.
You own a house and land with an assessed value of $55,580. Every year, you pay a total of $2,834.58 in property taxes. What is your local property tax rate? a. 0.051 b. 0.058 c. 0.019 d. 0.066
The local property tax rate is 0.051.
Given that,
You own a house and land with an assessed value of $55,580. Every year, you pay a total of $2,834.58 in property taxes.Based on the above information, the calculation is as follows:
[tex]= \$2,834.58 \div \$55,580[/tex]
=0.051
Therefore we can conclude that The local property tax rate is 0.051.
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