Solve the system of equations -x-y=-2 and 5x + 7y= 28 by combining the
equations.
The value of x = -7 and y = 9 from the system of equations .
What is System of Equation ?A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.
simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
To create an equation in one variable using the elimination approach, you may either add or subtract the equations. To remove a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
The equations are :
-x - y = -2 (i)
and
5x + 7y = 28 (ii)
multipling eqation (i) with 5 and then adding both equations we get,
-5x - 5y +5x + 7y = -10 + 28
⇒ 2y = 18
⇒ y = 9
Again, -x -9 = -2
or, x = -7
The value of x = -7 and y = 9 from the system of equations
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Lance Greene receives $2.20 per piece he
completes plus a 10% bonus for each piece he
completes over 180 pieces. Last week he
completed 210 pieces. Find his gross pay.
The gross price for the 210 pieces that Lance completed last week is $468.6.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Amount received by Lance Greene for one piece = $2.20.
Also, Lance gets 10% bonus per piece after 180 pieces.
Given that, last week Lance completed 210 pieces .
Price for 210 piece = 210 x 2.20 = 462
Also, bonus gets by Lance on 30 pieces = 30 x 2.2 x 10/100 = 6.6
Total price = 462 + 6.6 = 468.6
The required gross price is $468.6.
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Jasmine claims that the two triangles are congruent since the Side-Angle-Side (SAS) triangle congruence criterion ensures that a sequence of transformations will carry one triangle onto the other.
Which of the following statements best describes Jasmine’s claim?
1. The claim is correct since a translation carries one triangle onto the other.
2. The claim is correct since SAS is an acceptable triangle congruence criterion.
3. The claim is incorrect since SAS is not an acceptable triangle congruence criterion.
4. The claim is incorrect since the triangles do not meet the SAS triangle congruence criterion.
Image of triangles:
The claim is not correct as both the triangles do not meet the SAS triangle congruence criterion.
What is SAS Conguency ?If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.
As from the definition above we can understand that for the triangles to be congruent the sides and the angle included between them should be same.
In the given triangles
The two sides of both the triangle has same length but the angle 30 degree is not the angle included for both the traingles
Therfore we can say that the triangles are not congruent with SAS congruency.
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Kiara invested some money into a savings account that earns 2.7% annual simple interest. At the end of 5 years, she earned $6.62 in interest. How much money did she put into the account initially? Round to the nearest dollar.
The initial amount that was invested in the account was $49.
What is the principal?We know that we can be able to obtain the principal by the use of the formula for the simple interest and by that formula we would now have that;
I = PRT/100
I = interest
P = principal
R = rate
T = time
Then we are going to have that;
R = 2.7
P = ?
I = 6.62
T = 5
Then;
6.62 = P * 2.7 * 5/100
6.62 * 100 = P * 2.7 * 5
P = 6.62 * 100/2.7 * 5
P = 662/13.5
P = 49
Thus we have but in at the beginning about $49
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m × m × r = 5 × 4 × 5; then r =
Answer: 5
Step-by-step explanation:
find each angle measure to the nearest degree
Find m.
E
F
1.25 m
3 m
D
if correct will mark brainless :))
EF=2.73m;m<D
=65;m<F=25*
Hope this helps
Juan is selling tickets for a high school playChild tickets cost $3 and adult tickets cost $10. He selts 205 tickets and collects $1560
Answer:
135 Adult tickets and 70 Child tickets sold
Step-by-step explanation:
135*10 (adult ticket price) = 1,350
70*3 (child ticket price) = 210
$1,350 + $210 = $1,560
135 + 70 = 205 tickets sold
can someone help me solving for x?
Answer:
8, 45, 18, 8.75 pretty sure
Step-by-step explanation:
cross multiplying: when a/b=x/c you type in a*c/b to get x in calculator
what is the answer
................................................
Answer:
1/5
Step-by-step explanation:
2/5x1/2=2/10=1/5
Which of these systems of equations has infinitely many solutions? Explain your choice(s).
a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10
b. 7x + 2y = -14
-7x + 2y = -14
c. x + 6y = -18
x - 6y = 18
d. (3/4)x - 9y = 12
(-3/4)x + 9y = 12
What is the radius of a globe that has a volume of 268.08 in³?
Answer:
4 inches is the radius
Step-by-step explanation:
What is the total surface area of the square pyramid below?
A square pyramid. The square base has side lengths of 6 meters. The triangular sides have a height of 8 meters.
132 m2
144 m2
160 m2
228 m2
Answer:
Its 144
Step-by-step explanation:
I did it on a test
The surface area of the square pyramid is 132 m²
How to the surface area of a square pyramid?
For a square pyramid whose base has sides that measure b, and height h, is:
S = b*b + 4*(b*h)/2
In this case, we have:
b = 6mh = 8mReplacing that in the surface area equation, we get:
S = (6m*6m) + 4*(6m*8m)/2 = 132 m²
So the correct option is the first one.
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When you are solving a compound inequality, how can you express the solution?
Please give your rationale.
Answer:
When solving a compound inequality, you can express the solution in two different ways: using a union or intersection.
Using a union:
A union represents the solutions that belong to either one inequality or the other, or both. You can express a union using the symbol "or," or by writing the solutions for each inequality separately and combining them using a "union" symbol (∪). For example, if you have the compound inequality "x > 2 or x < -3," you can express the solution as "x ∈ (-3, 2) ∪ (-∞, -3) ∪ (2, ∞)."
Using an intersection:
An intersection represents the solutions that belong to both inequalities. You can express an intersection using the symbol "and," or by writing the solutions for each inequality separately and combining them using an "intersection" symbol (∩). For example, if you have the compound inequality "x > 2 and x < -3," you can express the solution as "x ∈ (-3, 2) ∩ (-∞, -3) ∩ (2, ∞)."
Which method you use to express the solution will depend on the specific inequalities and the type of solutions you are looking for. It is important to carefully consider the inequality symbols (>, <, ≥, ≤) and the use of "and" or "or" in order to determine the correct solution.
When solving a compound inequality, the solution can be expressed in one of two ways: as an interval or as a union of intervals.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
An interval is a set of all real numbers between two given numbers, and is written in the form (a, b) or [a, b], where a and b are real numbers, and a < b. If a and b are included in the interval, then the interval is written as [a, b]; if a and b are not included in the interval, then the interval is written as (a, b).
A union of intervals is a combination of two or more intervals, and is written in the form (a, b) ∪ (c, d) or [a, b] ∪ [c, d], where a, b, c, and d are real numbers, and a < b and c < d.
When solving a compound inequality, it is important to first simplify the inequality by combining like terms, isolating the variable on one side of the inequality, and combining any separate inequalities into a single inequality. Then, the solution can be found by graphing the inequality on a number line, and shading the portion of the number line that represents the solution.
Once the solution is found the solution can be expressed either as an interval or as a union of intervals depending on the inequality. For example, if the inequality is x>1 and x<3, then the solution would be expressed as (1,3) and this is an example of an interval. If it's x>1 and x≥3 then the solution would be expressed as (1,3] U [3,∞) and this is an example of union of intervals.
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if i'm at $567,811 how much more do i need to get to 1,000,000
Answer:
$432,189
Step-by-step explanation:
$1,000,000 - $567,811 = $432,189
Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4.
y = 3x + 7
y = 3x - 7
y= 1/3x+2
y=1/3x-2
Answer:
[tex]y=3x-7[/tex]
Step-by-step explanation:
Parallel Lines:Parallel lines, by definition, never intersect. They have the same slope but different y-intercepts (otherwise they would be the same line) on a graph.
Slope-Intercept Form:
Slope-Intercept form is expressed as: [tex]y=mx+b[/tex], where
[tex]m = \text{slope}[/tex][tex]b = \text{y-intercept}[/tex]This form is super useful for linear equations as it gives us the two key features of a linear equation. It's how each of the options are formatted, so we know we'll have to use this form.
Generally Finding a Parallel Line:The line is parallel to [tex]y=3x-4[/tex], meaning it has a slope of 3, but also a y-intercept other than -4 (otherwise they would be the same equation).
So we can generally form an equation: [tex]y=3x+b\text{, }b\ne-4[/tex], so we can plug any value for "b" here (except -4) and have a parallel line
Finding a line passing through a point:Since we not only want to find a parallel line, but also one that passes through a specific point, we can use our general parallel equation: [tex]y=3x+b\text{, }b\ne-4[/tex], and plug in known values. We of course already have the slope plugged in, but now we have a (x, y) coordinate, which we can plug in for x and y in the equation.
Original Equation:
[tex]y=3x+b[/tex]
Point given: (3, 2), substitute in x=3 and y=2:
[tex]2=3(3)+b[/tex]
Simplify:
[tex]2=9+b[/tex]
Subtract 9 from both sides:
[tex]-7=b[/tex]
Now we can take this value. and plug it back into the general equation:
[tex]y=3x+(-7)\implies y=3x-7[/tex]
Now we have our answer!
7sur 15 plus 6sur25 FRACTION
Answer:
53/75
Step-by-step explanation:
15 = 3 × 5
25 = 5²
PPCM = 3 × 5² = 75
75/15 = 5
75/25 = 3
7/15 + 6/25 =
= (7 × 5)/(15 × 5) + (6 × 3)/(5 × 3)
= 35/75 + 18/75
= 53/75
Select the correct answer.
Simplify the expression.
Answer:
The answer to the question is C
an ore is 1 1/2% pure silver. how much ore is needed to obtain 30 kilograms of silver?
Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.
What is proportion?Proportion refers to two or more ratios equated to each other.
We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.
The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.
The percentage of ore that is pure silver = 1¹/₂% = (0.015)
The quantity of silver needed = 30 kilograms
The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)
1¹/₂% = 30 kg
100% = 2,000 kg (30/1¹/₂%)
Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.
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Fill in the blanks below in order to justify whether or not the mapping shown represents a function. Set A 5 0 7 Set B -2 9 -1 -3 The mapping diagram above a function since in where there .
The mapping does not represents a function
How to identify a function?A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
In this case, for the mapping represent a function, every element in set A must be mapped to exactly one element in set B.
Since there is more than one arrow from set A (5) pointing to different values in set B (-2 and 9), then it is not a function. Also, the two different value (5 and 7) in set A has the same value (-2) in set B.
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Find the volume of the solid
Volume = h × l × b
= 3.6 × 2.1 × 1.5
= 11.34 m³
Write a Linear Equation in the form y = mx + b for the following situation: Syd and her friends are washing cars over the summer. Without a membership, each car costs $10 to wash. With a membership, you would pay a $10 flat fee and receive washes for only $4 per car! Which linear equation below reflects the cost per car with a membership? *
Answer:
y=4x+10
Step-by-step explanation:
If $10 is a flat fee, then that is your constant; it doesn't change.
If $4 per car, then 4 is your coefficient.
Therefore, your equation is y=4x+10
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
Answer: [tex]\frac{c}{d} = \frac{a}{b}[/tex]
Step-by-step explanation:
By the given figure, the triangle's sides appear congruent. By the Segment Addition Postulate:
RT + TQ = RQ and
RU + US = RS
Substitute this with the given variables.
c + d = RQ
a + b = RS
From this, we can create the following proportion:
[tex]\frac{c}{d} = \frac{a}{b}[/tex]
help please please please please!!
Use Exponential Functions
Complete the table for the following function
Graph the function and describe what the graph looks like.
a. Increases in Quadrant
b. Increases from left to right
c. Decreases from left to right
d. Decreases in Quadrant III
Please select the best answer from the choices provided
Answer:
B. Increases from left to right
Step-by-step explanation:
I calculated it logically
What is the domain of the function represented by this graph?
A. X>4
B. X<0
C. All real numbers
D. -2
Answer:
All real numbers
Step-by-step explanation:
When looking at what numbers of x could be part of the functio, we can see that all real numbers can be found in this function for x
Write the ratio for Sin M.
Answer:
i forgot
Step-by-step explanation:
About how many pieces of 3 1/2 inch wood can be cut from a 34-inch piece of wood?
Please, may someone help me?? 25 points on the line
a restaurant offers 7 appetizers and 9 main courses. In how many ways can a person order a two-course meal
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer:
B =90 A= 55 C=35
Step-by-step explanation:
B is a right angle =90 degrees
The sum of all angle in a triangle is 180
so the other 2 angles sum 90
(5x+5) +(3x+5) = 90
8x+10 =90
8x= 80
x= 10
A: 5x10 +5 = 55
B 3x10 +5 = 35
90+ 55+35 =180
Find the volume. Find the volume=
Volume of trianglular prism:
= ½ × b × h × l
= ½ × 8 × 4 × 7
= 4 × 28
= 112 cm³
Answer:
112 sq cm
Step-by-step explanation:
8x4=32
32/2=16
16x7=112