Answer:
Step-by-step explanation:
y=-x+2 equation 1
y=3x-2 equation 2
sub equation 1 into 2
-x+2=3x-2
-x+2-3x+2 =0 (bring everything to one side and to equal 0)
-4x+4=0 (collect like terms and go with the sign given)
-4x=-4 (bring 4 over to the other side to isolate)
-4x/-4=-4/-4 (divide to isolate)
x=1
y=-3x+3 equation 1
2x+y=1 equation 2
y=-2x-1 Rearrage equation 2 (now equation 3)
sub equation 1 into 3
-3x+3=-2x-1
-3x+3+2x+1 =0 (bring everything to one side and to equal 0)
-x+4=0 (collect like terms and go with the sign given)
-x=-4 (bring 4 over to the other side to isolate)
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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Hi can anyone help me with this much appreciate j
For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
As given in the question,
Rules to round of nearest thousand are:
Check the near by hundred digit :
If the hundred digit is 5 or more than 5 than round up that is write next digit. If the hundred digit is less than 5 than round down.Given is the actual ticket rates of the different events tickets sales ,round off to the nearest thousand is given by:
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
Therefore, For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
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HELPPPP PLEASE help❗️
Answer:
The second box is correct.
Step-by-step explanation:
Answer:
its the first one to the left
Step-by-step explanation:
hope I helped :)
Need a little help with this one problem! All help appreciated!
Answer:
A. Magic carpets
B. Carpet Brites
C. Carpet Brites
Step-by-step explanation:
70 x 15 = 1050 + 10 = 1060
60 x 15 = 900 + 30 = 930
If 4x + 12 = 76, then x =
Answer:
x = 16
Step-by-step explanation:
subtract 12 from both sides to isolate the variable and its coefficient
4x = 64
divide both sides by 4 to get x
x = 16
Answer:
x = 16
Step-by-step explanation:
4x+12=76
Step 1: Subtract 12 from both sides.
4x + 12 - 12 = 76 - 12
4x = 64
Step 2: Divide both sides by 4.
\(\frac{4x}{4} = \frac{64}{4}\)
x = 16
1. y=3x+6 2. y=-2x+4 3. y=1/2x-6 4. y=2/3x 5. y=-4x+1/8
Answer:
Here u go bro. You have to just replace y and x with zero and then draw the I think structure say say:')
pls help me on this !!!
Answer:
7, 12, 13
Step-by-step explanation:
Use the Pythagorean theorem equation on all of them. The one that does not make the equation true is the answer.
a^2 + b^2 = c^2
A.
a^2 + b^2 = 18^2 + 80^2 = 6724
c^2 = 82^2 = 6724
Right triangle.
B.
a^2 + b^2 = 7^2 + 12^2 = 193
c^2 = 13^2 = 169
Not a right triangle.
C.
a^2 + b^2 = 3^2 + 4^2 = 25
c^2 = 5^2 = 25
Right triangle.
D.
a^2 + b^2 = 45^2 + 60^2 = 5625
c^2 = 75^2 = 5625
Right triangle.
Answer: 7, 12, 13
Let y = [5 5] and u = [6 8] . Compute the distance from y to the line through u and the origin.
Answer:
The distance d = 1
Step-by-step explanation:
The objective is to compute the distance from y to the line through u and the origin.
Given that :
\(y = \left[\begin{array}{cc}5\\5\end{array}\right]\) and \(u = \left[\begin{array}{cc}6\\8\end{array}\right]\)
Recall that:
from the slope - intercept on the graph, the equation of line can be expressed as :
y = mx + b
where;
m = slope = \(\dfrac{y_2-y_1}{x_2-x_1}\)
b = y - intercept
Similarly, we are being informed that the line passed through \(u = \left[\begin{array}{cc}6\\8\end{array}\right]\) and origin, so ;
\(x_1 = 0 , y_1 = 0 \\ \\ x_2 =6 , y_2 = 8\)
the slope m = \(\dfrac{y_2-y_1}{x_2-x_1}\)
= \(=\dfrac{8 - 0}{6-0}\)
\(= \dfrac{4}{3}\)
Also, since the line pass through the origin:
Then
y = mx + b
0 = m(0) + b
b = 0
From y = mx + b
y = mx + (0)
y = mx
\(y = \dfrac{4}{3}x\)
3y = 4x
3y - 4x = 0
4x - 3y =0
The distance of a point (x,y) from a line ax +by + c = 0 can be represented with the equation:
\(d = \dfrac{|ax+by +c|}{\sqrt{a^2 +b^2}}\)
∴ the distance from \(y = \left[\begin{array}{cc}5\\5\end{array}\right]\) to the line 4x - 3y = 0 is
\(d = \dfrac{|4x-3y +0|}{\sqrt{4^2 +3^2}}\)
\(d = \dfrac{|4(5)-3(5) +0|}{\sqrt{16+9}}\)
\(d = \dfrac{20-15 }{\sqrt{25}}\)
\(d = \dfrac{5}{5}\)
The distance d = 1
The distance from y(5,5) to the line through u(6,8) and the origin(0,0) is √2 units.
What is the distance between the two points on a graph?The distance or length of any line on the graph is given by the formula,
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
where,
d = distance/length of the line between points 1 and 2,
(x₁, y₁) = coordinate of point 1,
(x₂, y₂) = coordinate of point 2,
In the given equation, we need to find the distance between the line and the point u (6,8). Now, we try to find the equation of the line, with points y=(5,5) and origin (0,0). Therefore, the slope of the equation can be written as,
\(m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{5-0}{5-0} = 1\)
Now, if we substitute the value of the slope and a point in the general equation of the line, we will get,
\(y = mx+c\\\\0 = 1(0)+c\\\\c = 0\)
Further, if we draw the line on the graph, the nearest point to point u(6,8) is a(7,7). Therefore, the distance between the two points can be written as,
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\D = \sqrt{(7-6)^2+(7-8)^2}\\\\D = \sqrt2\)
Hence, the distance from y(5,5) to the line through u(6,8) and the origin(0,0) is √2 units.
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Name the similar triangles. ΔBAC ~ ΔDEF , ΔBAC ~ ΔEDF, ΔBAC ~ ΔDFE, ΔBAC ~ ΔFED
Based on the angle-angle similarity theorem (AA), the similar triangles in the image given can be named as: ΔBAC ~ ΔEDF.
What are Similar Triangles?When two triangles have the same shape but have different sizes, it means the triangles have corresponding pairs of congruent angles and corresponding pairs of sides that are proportional to each other. The triangles are said to be similar.
The image given show two set of triangles that have two corresponding pairs of congruent angles, based on the angle-angle similarity theorem, it means that they are similar to each other.
Therefore, the similar triangles are:
ΔBAC ~ ΔEDF.
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What are the slope and y-intercept
Answer:
Slope= -1/2 ; y-inter = 0
Step-by-step explanation:
A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 1444 in3. How big a piece of cardboard is needed
Answer:
\(C=27inch\ by\ 27inch\)
Step-by-step explanation:
Squares \(h=4inch\)
Volume \(v=1444in^3\)
Generally the equation for Volume of box is mathematically given by
\(V=l^2h\)
\(1444=l^2*4\)
\(l^2=361\)
\(l=19in\)
Since
Length of cardboard is
\(l_c=19+4+4\)
\(l_c=27in\)
Therefore
Dimensions of the piece of cardboard is
\(C=27inch\ by\ 27inch\)
In △JKL , if m∠ J < 90° , then ∠K and ∠L are _____
Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.
An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.
In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.
Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
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please help thank you..
6 Question 5 (5 points) Two masses, m and M. are placed along x-axis at a and b, respectively. Find the center of mass for the system (x, y). 9 (a+b)/2,0 12 0. (a+b)/2 15 O (am+bM)/2,0 (am+bM)/(m+M), O 18 O, (am+bM)/(m+M)
The center of mass for the system (x, y) is \(\left(\frac{a m+b M}{m+M}, 0\right)\).
What is center of mass?
The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.
The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses.
Centre of mass is
\(x=\frac{m a+M b}{m+M}\)
and y=0
\((x, y)=\left(\frac{a m+b M}{m+M}, 0\right)\)
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Convert 5 π /3 radians to degrees.
5π/3=5π/3×180/π=300°
300° is the correct answer
Answer:
300 degrees
Step-by-step explanation:
To convert from radians to degrees, multiply by 180/ pi
5 pi /3 * 180/pi
5/3 * 180
5 * 60
300
A rectangular yard is enclosed by 100 meters of fencing. The table shows some possible values for the length and width of the yard. Replace all variables (letters) with numerical values. length (meters) width (meters) area (square meters) 10 40 400 20 30 600 25 25 625 35 15 525 40 10 1600
10, 40, 400.
20, 30, 600.
25, 25, 525.
40, 60, 2400.
I think.
please help me ASAP whoever answers first and if it’s correct i’ll give you brainliest no explanation needed !
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
LH and KL are the same
SUPER Easy math question/ HELP PLEASE!!!! 7th GRADE
MATH
There is a triangle with side lengths of 6 cm, 8 cm, and 10 cm. select all of the sets of side lengths that are scaled copies of the original triangle
A. 18 cm, 24 cm, and 30 cm.
B. 9 cm, 12 cm, and 15 cm.
C. 15 cm, 20 cm, and 25 cm.
D. 10 cm, 18 cm, and 24 cm.
The sets of side lengths that are scaled copies of the original triangle are (18 cm,24 cm and 30 cm), (9 cm, 12 cm and 15 cm) and (15 cm, 20 cm and 25 cm)
How to find the side lengths that are scaled copies of the original triangle?
A scale factor is the size by which a shape is enlarged or reduced.
Given: a triangle with side lengths of 6 cm, 8 cm, and 10 cm.
In order to the sets of side lengths that are scaled copies of the original triangle. You have to choose a triangle in which the side length is enlarged or reduced by the same factor.
We have the original side length of 6 cm, 8 cm, and 10 cm
18 cm, 24 cm, and 30 cm = 3 × ( 6 cm, 8 cm, and 10 cm)
That means this is a scale factor of 3 is used
9 cm, 12 cm, and 15 cm = 1.5 × ( 6 cm, 8 cm, and 10 cm)
A scale factor of 1.5 is used
15 cm, 20 cm, and 25 cm = 2.5 × ( 6 cm, 8 cm, and 10 cm)
A scale factor of 2.5 is used
Note: you can know by taking the new values and dividing them by their corresponding old values. If all the sides give the same scale factor then you have a scaled copy e.g scale factor = 9/6 = 12/8 = 15/10 = 1.5
10 cm, 18 cm, and 24 cm does not have uniform scale factor. So it is not a scaled copy
Therefore, (18 cm,24 cm and 30 cm), (9 cm, 12 cm and 15 cm) and (15 cm, 20 cm and 25 cm) are the sets of side lengths that are scaled copies of the original triangle. Select options A, B and C
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A recipe of beef stew serves 2 people and calls for 0.75 pounds of carrots. How many pounds of carrots would you need to serve 10 people in the restaurant? Explain how you found your answer.
Answer:
3.75 pounds of carrots
Step-by-step explanation:
Multiply 0.75 by 5 and get 3.75
Answer:
3.75 lbs of carrots
Step-by-step explanation:
10/2=5
.75*5=3.75
You basically just need to multiply your serving by 5
4tan(x)-7=0 for 0<=x<360
Answer:
x = 65.26 degrees or x = 245.26 degrees.
Step-by-step explanation:
To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:
4tan(x) = 7
Then, we can divide both sides by 4 to get:
tan(x) = 7/4
Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:
x = tan^-1(7/4)
Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).
However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).
To find the solution in the first quadrant, we can simply use the value we just calculated:
x = 65.26 degrees (rounded to two decimal places)
To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:
x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)
So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:
x = 65.26 degrees or x = 245.26 degrees.
what's 6,338 divided by 43 with a reminder
Answer:
Step-by-step explanation:
6338 divided by 43 is 147.3953 or 147 17/43
is it true that if one of the factors is 0, the product is 1?
Answer:
The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0. (This is not really new.) If ab = 0, then either a = 0 or b = 0, or both a and b are 0.
hope it helped
Answer:
0
Step-by-step explanation:
Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
Simon is riding a bike at 12 km/h away from his friend Keesha. He throws a ball at 5 km/h back to Keesha, who is standing still on a sidewalk.
How fast would Keesha say the ball is traveling?
5 km/h
7 km/h
12 km/h
17 km/h
Keesha would say the ball is traveling at 7 km/h. The correct option is the second option 7 km/h
What is relative velocity?Relative velocity is defined as the velocity of an object with respect to another observer.
From the question, we are to determine how fast Keesha would say the ball is traveling. That is, the relative velocity
Relative velocity of the ball = 12 km/h - 5 km/h
Relative velocity of the ball = 7 km/h
Hence, Keesha would say the ball is traveling at 7 km/h. The correct option is the second option 7 km/h
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Answer:
7 km/h
Step-by-step explanation:
what are the solutions to the quadratic equation 4X squared + 25 equals zero
Answer:
\(\pm\frac{5}{2}i\)
Step-by-step explanation:
\(4x^2+25=0\)
\(4x^2=-25\)
\(x^2=-\frac{25}{4}\)
\(x=\pm\frac{5}{2}i\)
7. Mrs. Paulson is constructing a 90% confidence interval for the difference of means based on independent
simple random samples from two populations. The sample sizes are n, = 6 and n, =14. She draws dotplots
of the sample data to check one of the conditions for using two-sample i procedures. Which of the following
descriptions of those dotplots would suggest that it is safe to perform inference?
(a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.
(b) Both dotplots are roughly symmetric. The dotplot of sample 2 has an outlier.
(c) Both dotplots are strongly skewed to the right. There are no outliers in either dotplot.
(d) Both dotplots are roughly symmetric. Both dotplots have one upper outlier
(e) i procedures are not recommended in any of these cases.
The description that will show that it is safe to perform inference is that (a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.
What description would make it possible to make inferences?In order to use the two-sample t procedure to make inferences, certain conditions need to be met such as the sample being random and independent.
The variances for the groups in the data need to be equal which is why the presence of no outliers in either dotplot would present an safe opportunity to be able to perform inferences on the data.
In conclusion, option A is correct.
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I have to solve this system of equations using elimination. I don't understand how to do this one.
ok
Find x
8x + 2y = 20
-5x - 2y = -11
3x + 0 = 9
3x = 9
x = 9/3
x = 3
Find y
8(2) + 2y = 20
16 + 2y = 20
2y = 20 - 16
2y = 4
y = 4/2
y = 2
Result
x = 3, y = 2
Find the length of each side of the triangle. Check that the perimeter is equal to 20 inches.
Answer:
there is no picture
Step-by-step explanation:
Answer:
it depends on what triangle it is. if it an equilateral then the answer is 6.7 (20 divided by 3)
Step-by-step explanation:
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find an equation of the line in point-slope form that passes through the point (2, 5) and that is parallel to the given line. (find the point-slope form by using (2, 5) as the primary point.)
The condition of the point-slope line going through the point (2, 5) and lined up with the provided line is y - 5 = 0. (x - 2)
In the point-slope form, this condition is gotten from a solitary point and the slant of the line. The essential point used to characterize the condition is point (2, 5).
Since the provided line and the line addressed by the equation are parallel, the slope of the provided line and the slant of the situation should be something similar.
The slope of the equation, for this situation, is 0 since the equation has the form y = mx + b, where m = 0.
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A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times.
How does this frequency compare to the expected frequency based on the probability of
the number cube landing on an even number?
The frequency is 15 more than expected.
The frequency is 13 more than expected.
The frequency is 9 more than expected.
The frequency is 3 more than expected.
Done →
Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
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