Answers
Answer:
x=8
Step-by-step explanation:
Because you are solving for x, you want to cancel out the y terms. You can do this by multiplying the entire equations by numbers that will make the y terms have equal numbers but opposite signs.
2(2x-5y=1)
5(-3x+2y=-18)
This turns into
4x-10y=2
-15x+10y=-90
The y terms cancel out, and the other terms can be added together.
-11x=-88
x=8
Related Questions
6. Brandon and Charlotte Snifflesworth are visiting three of Americas top tourist attractions. The Snifflesworths
live close to Disney World in Orlando, Florida. They decided to start their trip at Disney World before traveling to
San Francisco, California to see the Golden Gate Bridge and then to Minneapolis, Minnesota to go shopping at the
Mall of America. The bearing from Disney to the Golden Gate Bridge is North 65° West. The bearing from the
Golden Gate Bridge to the Mall of America is North 80° East. The bearing from Disney to the Mall of America is
North 30° West and the distance traveled is 1,320 miles. Find all missing interior angles and distances created from
their triangular trip to America's top tourist attractions. Also find the bearing from the Mall of America to
Disneyland.
Answers
Answer:
The distance from Disney to the Golden Gate Bridge is 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge is 1,320 miles
The interior angle at The Golden Gate Bridge is 35°
The interior angle at Mall of America is 110°
The interior angle at Disney is 35°
The direction from Mall of America to Disney is South 30° East
Step-by-step explanation:
The bearing from Disney to the Golden Gate Bridge = North 65° West
The bearing from the Golden Gate Bridge to the Mall of America = North 80° East
The bearing from Disney to the Mall of America = North 30° West
The distance from Disney to the Mall of America = 1,320 miles
Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively
From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C
Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°
The interior angle at B = The bearing of C from B - The bearing of A from B
∴ The interior angle at B = 65° - 30° = 35°
B = 35°
∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle
The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°
CA = AB = 1.320
By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56 miles
a = CB = 2,162.56 miles
Therefore, we have;
The distance from Disney to the Golden Gate Bridge = 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge = 1,320 miles
The interior angle at The Golden Gate Bridge = 35°
The interior angle at Mall of America = 110°
The interior angle at Disney = 35°
The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°
∴ The direction from Mall of America to Disney = South 30° East
What is the simple interest on $4,000 for 2 and a half years at 4 percent a year?
Answers
Answer:
Step-by-step explanation:
You can't receive money if you withdraw in the midst of a year.
So 4000 * 1/25 * 2 = $4320
this is the question I meant to send
Answers
Answer:
30%
Step-by-step explanation:
PLEASE HELP I’m bad at math
A.Find the greatest common factor GCF of 42 and 12
B.Use the GCF to factor 42 + 12
Please be quick if you can
Answers
Answer:
6
Step-by-step explanation:
The GCF of 42 and 12 is 6
Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress?
Answers
Answer:
1 1/2
Step-by-step explanation:
1 1/2 + 3 1/2 = 5
6 1/2 - 5 =1 1/2
Find the volume of the composite shape to the right to the nearest while number
Answers
Slove the system of linear equations by graphing y=-x+7 y=x-1
Answers
Answer:
no
Step-by-step explanation:
please help thank u alot going to put pictures!
Answers
1/5 divided by 2= 0.1 or 1/10
5 divided by 1/2=2.5 or 2 1/2
4 divided by 1/3 = 12
anybody can help me with this
Answers
Answer:
the answer is a/ 21 kilometers
⚠️⚠️⚠️help⚠️⚠️⚠️⚠️⚠️
Answers
Answer:
2
Step-by-step explanation:
The Intial value, also know as the y-intercept, is where the line crosses line y.
Therefore, looking at the graph, your initial value is 2.
Choose all of the points that are reflections of each other across both axes. (1.5,−2) ( 1 . 5 , - 2 ) and (−112,2) ( - 1 1 2 , 2 ) (4.5,−2) ( 4 . 5 , - 2 ) and (5.4,−2) ( 5 . 4 , - 2 ) (−112,3) ( - 1 1 2 , 3 ) and (−3,112) ( - 3 , 1 1 2 ) (1.75,−4) ( 1 . 75 , - 4 ) and (−134,4) ( - 1 3 4 , 4 )
Answers
Answer:
The points which are reflections across both axis are;
1) (1.5, -2) and [tex]\left (-1\dfrac{1}{2} , \ 2\right )[/tex]
2) (1.75, -4) and [tex]\left (-1\dfrac{3}{4} , \ 4\right )[/tex]
Step-by-step explanation:
The coordinate of the image of a point after a reflection across the 'x' and 'y' axis are given as follows;
[tex]\begin{array}{ccc}& Preimage&Image\\Reflection \ about \ the \ x-axis&(x, \ y)&(x, \, -y)\\Reflection \ about \ the \ y-axis&(x, \ y)&(-x, \, y)\end{array}[/tex]
Therefore, a reflection across both axis changes (only) the 'x' and 'y' value signs
The given points which are reflections across both axis are;
(1.5, -2) and [tex]\left (-1\dfrac{1}{2} , \ 2\right )[/tex]
We note that [tex]\left (-1\dfrac{1}{2} , \ 2\right )[/tex] = (-1.5, 2)
The reflection of (1.5, -2) across the x-axis gives the image (1.5, 2)
The reflection of the image (1.5, 2) across the y-axis gives the image (-1.5, 2)
Similarly, we have;
(1.75, -4) and [tex]\left (-1\dfrac{3}{4} , \ 4\right )[/tex]
We note that [tex]\left (-1\dfrac{3}{4} , \ 4\right )[/tex] = (-1.75, 4)
The reflection of (1.75, -4) across the x-axis gives the image (1.75, 4)
The reflection of the image (1.75, 4) across the y-axis gives the image (-1.75, 4).
The other points have changes in the values of the 'x' and 'y' between the given pair and are therefore not reflections across both axis
How to write 0.00080 as a power of 10?
Answers
Answer:
8 × 10⁻⁴
Step-by-step explanation:
Read the excerpt from The Fellowship of the Ring. On this occasion the presents were unusually good. The hobbit-children were so excited that for a while they almost forgot about eating. There were toys the like of which they had never seen before, all beautiful and some obviously magical. Many of them had indeed been ordered a year before, and all the way from the Mountain and from Dale, and were of real dwarf-make. Which detail in the excerpt identifies it as fantasy? Great presents are given at the party. The children almost forget to eat. Some of the toys are magical. The gifts have been ordered very early.
Answers
Answer:
c. some of the toys are magical
Step-by-step explanation:
The detail in the excerpt that identifies it as fantasy is "Some of the toys are magical." The correct option is 3.
What is The Fellowship of the Ring about?J.R.R. Tolkien's novel The Fellowship of the Ring was published in 1954. The Lord of the Rings is the first book in the epic fantasy series.
"Some of the toys are magical," says the excerpt, identifying it as fantasy. Magical toys imply the presence of magical elements in the story, which is a common feature of fantasy literature.
Other details, such as great gifts being given at a party and the children almost forgetting to eat, are not necessarily unique to fantasy and could be found in other genres.
The fact that the toys were ordered from the Mountain and Dale a year before.
Thus, the correct option is 3.
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Use Polynomials to Find Perimeter & Area
Find the area of this rectangle.
Answers
Answer:
Area of rectangle =
[tex]l \times b[/tex]
= 5x *( 5x -4)
=
[tex] {25x}^{2} - 20x[/tex]
Perimeter of rectangle = 2(l + b)
=2(5x +5x -4)
= 2(10x - 4)
= 20x - 8
Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much of a batch of muffins Dani can make?
Answers
Answer:
Step-by-step explanation:
Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much of a batch of muffins Dani can make?
I’m begging you please please ASAP ASAP please ASAP thank you please please ASAP
Answers
Answer:
The ratio is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
The ratio of the perimeters of Quad ABCD to Quad WXYZ = [tex]\frac{perimeter of ABCD}{perimeter of WXYZ}[/tex]
But considering sides AB and WX,
representative factor for both figures = [tex]\frac{12}{8}[/tex]
So that;
WX = 12
XY = 1.5 x 6 = 9
YZ = 1.5 x 7 = 10.5
WZ = 1.5 x 7 = 10.5
Thus,
perimeter of Quad ABCD = 6 + 7 + 7 + 8
= 28
perimeter of Quad WXYZ = 9 + 10.5 + 10.5 + 12
= 42
The ratio of the perimeters of Quad ABCD to Quad WXYZ = [tex]\frac{28}{42}[/tex]
= [tex]\frac{2}{3}[/tex]
A car salesman sells cars with prices ranging from $5,000 to $45,000. The box plot shows the distribution of the numbers of cars he expects to sell over the next 10 years.
The salesman has observed that many students are looking for cars that cost less than $5,000. If he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected?
A. The mean and the median will be the same.
B. The median will shift to the right.
C. The mean will shift to the left.
D. The mean will shift to the right.
Answers
I think is A
Simplify each expression
8a-4a
Answers
Answer: 4a
Step-by-step explanation:
Answer:
4a
Step-by-step explanation:
8 of something minus 4 of something gives you 4 of that thing
Fifty people put there name
into a two different drawings
(30 males and 20 females).
One drawing is for an iPad and
the other is for a flat screen
TV. What is the probability
that a male will win both
drawings.
Possible answers ⇒
13%
27%
36%
49%
WILL GIVE BRAINLIST
Answers
Answer:
36%
Step-by-step explanation:
30/2500 x 30/2500=
900/2500=0.36
0.36*100=36%
Plz help I’ll give brainliest
Answers
1. y= -5
2. m=0
3. I dont know
1. 3x+4y=-20
x=0
3×0+4y=-20
0+4y=-20
y=-5
2. m=y/x
m=0/1
m= 0
3. Sorry
Jared gets 10 heads when flipping a weighted coin 12 times. Based on experimental probability, how many of the next six flip should Jared expect to come up heads?
Answers
Answer:
5
Step-by-step explanation:
Experimental probability = number of tunes an event occurred / total number of trials
Experimental probability of getting head :
10 /12 = 0.833333
Expected number of heads from next 6 flips :
Experimental probability = expected number of heads / number of trials
0.833333 = x / 6
0.83333 * 6 = 5
5 times
Which equation is equivalent to 3 = 87 ÷ h? A. 3 = (87 ÷ h) – 9 B. 3 × 9 = (87 ÷ h) ÷ 9 C. 3 + 9 = (87 ÷ h) + 9 D. 3 – 9 = (87 ÷ h)
Answers
Answer:
3= (87÷h)
Step-by-step explanation:
The question is to pick among the option the solutions that will be equal to 3= (87÷h)
Therefore the most suitable and correct option is
3×9= (87÷h)÷9
27= (87÷h)÷9
Divide by 9
3= (87÷h)
Hence the answer is 3=(87÷h)
Which one of these is in scientific notation?
(47 points)
Answers
Answer:
8.98 * 10^6 is the scientific notation
Step-by-step explanation:
PLSSS HELP!!!! in need of help immediately! (check whole picture) and pls don’t leave a link.
Answers
Answer: C!!!!!!!
Step-by-step explanation:
Decomposers ( however you spell it ) are things that eat and uhh remove the waste and let other decompopers eat they waste
Please help and explain!
Find the total surface area shown down below
Ignore the colors!
Answers
then you move on to the triangles the purple ones together are 7 * 5 = 35 , since there’s 2 you don’t have to divide the area by 2 just use it as the combined for both
then black same thing 4*3 = 12
so
12+35+28=75
1. What is the diameter of a circle with radius of 7 inches?
Answers
Answer:
14 because the radius is half the diameter
Step-by-step explanation:
Answer:
The answer should be D=14in
Tom's dad is putting crown molding around the top of all of the walls in Tom's bedroom. The dimensions of his bedroom are shown. A rectangle that is eleven and three-fourths feet wide and fifteen and three-fourths feet long. Each foot of crown molding costs $0.85. What is the total cost of the crown molding?
Answers
Answer:
$157.30
Step-by-step explanation:
Width of the rectangular bedroom = 11 3/4 feet
Length of the rectangular bedroom = 15 3/4 feet
Area of the rectangular bedroom = length × width
= 15 3/4 × 11 3/4
= 63/4 × 47/4
= 2,961 / 16
= 185.0625 feet ²
Area of the rectangular bedroom = 185.0625 feet ²
Cost of each foot of crown molding = $0.85
Total cost of the crown molding = 185.0625 × $0.85
= $157.303125
Approximately,
Total cost of the crown molding = $157.30
PLEASE HELP ASAP
Find the surface area and volume of the figure below:
Answers
Answer:
What I think it might be is 62.3
A formula for converting degrees Celsius ( C ) (C) to degrees Fahrenheit ( F ) (F) is given by the formula F = 9 5 C + 32. F= 5 9 C+32. Solve the formula for C C in terms of F.
Answers
Answer:
C = (5F - 160)/9
Step-by-step explanation:
Given:
F = 9/5C + 32
Solve the formula for C in terms of F
F = 9/5C + 32
F - 32 = 9/5C
C = (F - 32) ÷ 9/5
C = (F - 32) × 5/9
= (5F - 160)/9
C = (5F - 160)/9
The inverse of the function f(x) = { x + 10 is shown.
h(x) = 2x-0
What is the missing value?
O 1
O 5
O 10
O20
Answers
Answer:
D) 20
Step-by-step explanation:
the missing value is 20
the last option
The equation h(x) = 2x - 0 = x - 10 is satisfied by the value x = -10; the omitted integer is 10.
What is a function?A function is a mathematical formula that illustrates the relationship between the dependent and independent variables. The independent variable's value and the dependent variable's value both change in the function.
Determine x in terms of f(x) in order to determine the inverse of the function f(x) = x + 10:
f(x) = x + 10
f(x) - 10 = x
x = f(x) - 10
Since h(x) is the opposite of f(x), replace x with h(x):
h(x) = f⁻¹(x) = x - 10
Since h(x) is the opposite of f(x), replace x with h(x):
To identify the missing value, compare the expression for h(x) to the supplied function, h(x) = 2x-0. We can see that the appropriate expression for h(x) is:
h(x) = 2x - 0 = x - 10
Find the value of x that allows this equation to be solved:
2x - 0 = x - 10
Simplifying and solving for x,
x = -10
Therefore, the missing value is O 10, since x = -10 satisfies the equation h(x) = 2x - 0 = x - 10
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