The sequence of operations is multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x. The correct option is - b)
Solving a system of equations by EliminationFrom the question, we are to determine the sequence of operations that would produce the correct x- or y-value of the solution to the given system of equations
The given systems of equations are
2x+y=9
x+3y=-13
First, multiply the first equation by -3That is
-3 × (2x+y=9)
-6x-3y=-27
Now, add to the second equation-6x-3y=-27
+(x+3y=-13)
-----------------
-5x = -40
Thus, we can solve for x
These sequence of operations will enable us to eliminate y and solve for x
Hence, the sequence of operations that would produce the correct x- or y-value of the solution to the system of equations is multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x. The correct option is - b)multiply the first equation by –3 and add the result to the second equation to eliminate y and solve for x
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What is the length of the equal sides of an isosceles right-angle triangle, with a hypotenuse of 15cm?
Answer:
8.66
Step-by-step explanation:
15/sqrt(3) = 8.66 (to nearest hundreth)
15 1/2 times 2 1/8 ??
Answer:
[tex]32 \times \frac{15}{16} [/tex]
Step-by-step explanation:
15 1/2 times 2 1/8 ??
[tex](15 \times \frac{1}{2} ) \times( 2 \times \frac{1}{8} )[/tex]
15 ×2 =30 +1 =31/2
2×8=16+1=17/8
[tex] \frac{31}{2} \times \frac{17}{8} [/tex]
[tex] \frac{527}{2 \times 8} [/tex]
527/16
[tex]32 \frac{15}{16} [/tex]
PLEASEEE HELPPPPP
Triangle A and Triangle B are similar triangles that have corresponding angle measures of 98 degrees and 43 degrees . What is the angle measure of the third angle in Triangle A and Triangle B?
Answer:
47 degrees
Step-by-step explanation:
Similar just means they may be different sizes but have the same angle measure. That means the angles will be identical in both triangles A and B.
All angles must add up to 180 degrees. We already have two angles, so we just need to find the last one. 90+43= 133.
180-133=47.
Andy is 6.25 miles north of the center of town. william is at the center of town. at noon they both start walking north.
andy walks at a constant rate of 7.5 miles in 3 hours. william walks at a constant rate of 15 miles in 4 hours.
how many hours does it take william to catch up with andy?
Answer: 5 hours
Step-by-step explanation:
[tex]speed=\frac{distance}{time}[/tex]
Andy speed = 7.5/3 = 2.5 mph
William speed = 15/4 = 3.75 mph
1. Write an equation that represents the question
let h = # of hours it takes William to catch up with andy
2.5h + 6.25 = 3.75h
2. subtract 2.5h from both sides
6.25 = 1.25h
3. Divide 1.25 from both sides
[tex]\frac{1.25h}{1.25} =\frac{6.25}{1.25}[/tex]
h = 5
Therefore, we know it will take 5 hours for William to catch up with andy.
a×b=2a+16 two positive consecutive even integers
The solution of the given two positive consecutive even integers will be a = 20 and b = 21
What is an integer?An integer is a number whose values are ranges from 0 to infinite positive and zero to infinite negative.
Given that :
2a-3b = -23
a and b are consecutive
Find:
a and b
Computation:
a = b - 1
So,
2a-3b = -23
2(b-1)-3b = -23
2b - 2 - 3b = -23
-b = -21
b = 21
So
a = b - 1
a = 21-1
a = 20
Hence the solution of the given two positive consecutive even integers will be a = 20 and b = 21
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find the measure of each arc.
a. JL
b. KM
c. JLM
d. JM
The measure of each arc.
a. JL = 132
b. KM =147
c. JLM = 200
d. JM =120
What is angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint.
The measure of JL
=m JK+ m KL
= 53+79
= 132
The measure of KM
=m KL+ m LM
= 79+68
=147
The measure of JLM
= 53+68+79
= 200
The measure of JM
=360-200
=120
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3/4(x+2)=x-2 . solve for x
Feng is starting a running plan to train for a race. In the first week of his running plan, Feng will run 15 miles. The plan calls for Feng to increase his weekly milage by 1.5 miles every week. If Feng sticks to the plan, how many miles would he be expected to run during his 15th week of the training plan?
Answer:
37.5 miles
Step-by-step explanation:
y = 1.5x + 15
1.5 * 15 = 22.5
22.5 + 15 = 37.5
I can give brainliest to the best answer, please help
Answer:
KPJ= 40 degrees
Step-by-step explanation:
EPG=35
EPG=FPK because they are symmetrical
135+105=140
180-140=40
DPE=40
DPE=KPJ because they are symmetrical
KPJ=40
if f(x)=x^2+2x-10 what is f(-2)
Answer:
-2
Step-by-step explanation:
f(2)= 2^2 + 2(2) - 10
= 4+4-10
=8-10
= -2
Which multiplication expression does the model show?
1) How do we find surface area? (What is it?)
2) What is the surface area of this pyramid?
Answer:
1) First find the base, then one triangle face and multiply it by four
2) 360 units squared
Step-by-step explanation:
10*10 = 100
10*13 = 130
130*2 = 260
260 + 100 = 360
Answer:
Surface Area=360
Step-by-step explanation:
All the triangles of a square pyramid are congruent meaning you can find the area of 1 and multiply by to find the total surface area of all 4 triangles.
Area of a triangle formula= bh/2
Area of 1 triangle= 13*10/2=65
Multiply by 4 to find the total surface area of the triangles: 65*4=260
Then add the area of the square base.
Area of Square base=10*10=100
Add the total area of the triangles and square base: 260+100=360
Find the slope and the y-intercept of the linear function shown below
Answer:
You give no Problem or answers to choose from
Step-by-step explanation:
Sorry
[(-3)+9] × [(-10)-(-9)]
please solve this
The perimeter of a rectangular corn field is 440 meters. The ratio
of its length to its width is 7:4. What is the length and width of
the field?
Answer:
Length: 140 meters
width: 80 meters
Step-by-step explanation:
perimeter of a rectangle is 2*(lw)
440/(14+8)=20
Length: 20*7=140 meters
width: 20*4=80 meters
Someone please help I’m literally so close to finishing this assignment and schools almost over so I need to bring up my grade quick
Step-by-step explanation:
if that is a problem for the end of the school year, what problems did you solve during the year ?
this question needs one of the basic principles of angles :
the sum of all angles around one point on one side of a line is always 180°, because that line can be seen as the diameter of a circle, and the point is the center of that circle. so, all angles in one side of the line are representing a half-circle.
this special point here is clearly T.
and 85 + x = 180
x = 180 - 85 = 95°
Maisy got a score of 80% correct on an quiz. There were 30 questions on the quiz. How many questions did Maisy get correct?
Answer:
24 Questions answered correctly
Step-by-step explanation:
So as we know, 30/x = 100/80
100/80 = 1.25
Now we have 30/x = 1.25
Multiply both sides of the equation by x - (30/x)x = (1.25)x
Now we have 30 = 1.25x
Divide both sides by 1.25 - 30/1.25 = 1.25x/1.25
24 = xIf the area of a round cricket oval is 27500 square meters, Find the distance from the centre of the ground to the boundary.
The distance from the centre of the ground to the boundary based on the area given is 93.58 meters.
How to calculate the distance?From the information given, the area of a round cricket oval is 27500 square meters. The information simply wants us to calculate the radius which will be calculated thus:
Area of a circle = πr²
πr² = 27500
(3.14) × r² = 27500
r² = 27500/3.14
r² = 8757.96
r = ✓8757.96
r = 93.58
Therefore, the distance from the centre of the ground to the boundary is 93.58 meters.
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Find the surface area of a square pyramid with side length 5 Fr and slant height 5 ft.
Answer:
75 ft²
Step-by-step explanation:
Surface Area :
Area (4 triangles) + Area (base)4 x 1/2 x 5 x 5 + 5 x 550 + 2575 ft²Given:
All sides are 5 feet in length.
To find:
The surface area of:
Square (base)4 Triangle SidesStep-By-Step-Solution:
Step 1
Find the surface area of the square (base)
Formula:
[tex]SA=L*W[/tex]
Find:
[tex]SA=5*5\\=25[/tex]
The surface area of the square (base) is 25ft²
Step 2
Find the surface area of the 4 triangles
We know that to find the surface area of 1 triangle, we do this:
[tex]SA=\frac{1}2} *B*H[/tex]
But to find the surface area of 4 triangle, we will have to do this:
[tex]SA=2*B*H[/tex]
Find:
[tex]SA=2*5*5\\=2*25\\=50[/tex]
The surface area of the 4 triangles in the sides are 50ft²
Step 3
Find the total surface area (by adding all SA's found before)
Just add! EASY!!!
25+50=75ft²
The total Surface Area of the Square Pyramid is 75ft²A pet store has three fish tanks, each holding a different volume of water and a different number of fish.
Tank A holds 40 L and 5 fish. Tank B holds 100 L and 12 fish. Tank C holds 180 L and 23 fish.
Order the tanks by volume per fish from least to greatest.
B A C
Answer:
Step-by-step explanation:
Remark
The general formula is
Volume per fish = volume of water / number of fish
Givens
40 L and 5 fish
100 L and 12 fish
180 L and 23 fish
Solution
Tank A = 40 L / 5 fish = 8 L / fish
Tank B = 100 L /12 fish = 8.3 L / fish
Tank C = 180 L / 23 fish = 7.83L / fish
Answer
From Least to greatest = C A B
In order to select new board members, the French club held an election. 20% of the 40 members of the club voted. How many members voted?
The number of members is an illustration of proportions, and there are 200 members in the club
How to determine the members that vote?The given parameters are:
French = 20%
French = 40
Let the number of members be x.
So, we have:
20% * x= 40
Divide both sides by 20%
x = 200
Hence, there are 200 members in the club
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13. How are squares and triangles the same? How are they different?
Answer:
Squares and triangles are both polygons and right triangles and squares both have at least one right angle. They are different because squares have 4 sides and triangles have 3. Also, triangle have a total of 180 degrees while squares have a total of 360 degrees.
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A circular railroad-crossing sign has a diameter of 30 inches.
Which measurement is closest to the area of the sign in square inches?
Diameter = 30
30/2 = 15 15 is the radius
To find area:
3.14 x 15 x 15 = 706.5
706.5 is the answer
year 9 students from a school were asked to choose one language to study the table shows information about their choices LANGUAGE French students=17 German students=35 Italian students=38 Students in math class 9s1 were told to draw a pie chart to illustrate the language work out all of the angles of each sector of the pie chart
Answer:
French 17
German 35
Italian 38
total 90
French = 17/90 ×360 =68°
German = 35/90 ×360= 140°
Italian 38/90 ×360= 152°
In the parallelogram shown, ae = p − 8, ce = 2p − 58, and de = p 15. parallelogram a b c d is shown. diagonals are drawn from point a to point c and from point d to point b and intersect at point e. what is the length of line segment eb? 42 units 50 units 65 units 73 units
If diagonals are drawn from point a to point c . The length of line segment eb is 65 units.
Length of line segmentSince the diagonal of parallelogram bisect one another, hence:
AE=CE
EB=DE=P+15
P-8=2P-58
P=50
Hence:
EB=P+15
EB=50+15
EB=65 units
Therefore the length of line segment eb is 65 units.
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Good afternoon, the
correct answer is 65 units
The radius of a circle is 7 millimeters. What is the circle's circumference?
Answer:
The circumference of a circle with a radius of 7 millimeters is 44.0 (rounded to the nearest tenth).
Step-by-step explanation:
The circumference of a circle is the distance around the outside of the circle. The circumference along with the diameter and radius are the 3 major aspects of a circle.
The circumference of a circle is found using this formula:
[tex]c=2\pi *r[/tex] - or - [tex]c=\pi *d[/tex]For this problem, the radius has been given, so to solve, let's use the formula: [tex]c=2\pi *r[/tex].
It has been given that the radius is equal to 7 and the unit of measure is millimeters.
So to start, let's plug the radius in the formula.
It should look like this: [tex]C=2\pi *7[/tex]
After plugging the radius into the formula, we now have to multiply [tex]2\pi[/tex] by [tex]7[/tex]; resulting in: ≈ [tex]43.9823[/tex] (estimate)
Now rounding to the nearest tenth:
≈ [tex]44.0[/tex]
A professional painter knows that it takes 0.29 ounces of the paint he prefers to cover 1 square foot of wall. If he calculates that he will need 92.8 ounces of paint to cover an 8-foot wall, then how wide is the wall he is planning to paint?
Answer:
The wall is 40 feet wide.
Step-by-step explanation:
92.8 / 0.29 = 320 square feet
320 / 8 = 40 feet
The volume of the rectangular pyramid below is 3240 units^3
3
. Find the value of xx.
The pyramid with a volume of 3240 unit³, base of 20 by 18 unit has a height of 27 unit
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Volume of pyramid = (1/3) * area of base * height
Hence:
3240 = (1/3) * (20 * 18) * x
x = 27 units
The pyramid with a volume of 3240 unit³, base of 20 by 18 unit has a height of 27 unit
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Which statement below is always true?
A. Two parallel lines intersect at a right angle.
B. Two parallel lines lie in the same plane.
C. Two lines that are skew to each other intersect at one point.
D. A transversal never intersects another line.
Answer:
The answer is B. Two parallel lines lie in the same plane.
Step-by-step explanation:
Parallel lines never cut (intersect) or meet each other, and they lie on the same plane.The answer is Choice B
Step-by-step explanation:
Parallel lines never intersect
Lines that are skew don't have to intersect
Transversal lines intersect other lines
The radius of a circle is 8 meters. What is the circle's area? Use 3.14 for .
Step-by-step explanation:
A = πr^2
When r=8m and π = 3.14,
A = 3.14*8*8=200.96sq.m
Answer:
[tex]\huge\boxed{\bf\:200.96\:m^{2}}[/tex]
Step-by-step explanation:
If,
Radius (r) = 8 mπ = 3.14Area (A) of the circle = ?
A = πr² [tex]\dashrightarrow[/tex] Formula
A = 3.14 × (8)²
A = 3.14 × 64
A = 200.96 m²
[tex]\rule{150pt}{2pt}[/tex]
