Answer:
x=5
y = -2
(5,-2)
Step-by-step explanation:
3x+7y=1 and y=x-7
Substitute the second equation in for y in the first equation
3x+7( x-7)=1
Distribute
3x+ 7x - 49 = 1
Combine like terms
10x - 49 =1
Add 49 to each side
10x-49+49 = 1+49
10x = 50
Divide by 10
10x/10 = 50/10
x = 5
Now find y
y = x-7
y = 5-7
y = -2
Order the side lengths
Answer:
Step-by-step explanation:
First fill in the missing angles of each triangle:
angle IJK = 180-47-51 = 82°
angle KJL = 180 - 63 - 57 = 60°
Within EACH triangle, the side length is proportional to the opposite angle.
Therefore for triangle IJK,
JK < JL < IK
and for triangle JKL
JL < KL <JK
so combining (chaining) the two inequalities,
JL < LK <JK < JL < IK
Answer:
Step-by-step explanation:
first lets find angle J in triangle IJK
for angle J
47 + 51 + angle J =180 degree (sum of interior angle of a triangle )
98 + angle J =180
angle J =180 - 98
angle J =82 degree
Now lets find angle J in triangle JKL
for angle J
57 + 63 + angle J =180 degree (being sum of interior angle of the triangle)
120 + angle J =180
angle J = 180 - 120
angle J =60 degree
now lets place the angle from samllest to largest
angle I = 41 degree
angle K = 51 degree
angle K of JKL triangle = 57 degree
angle J of JKL triangle = 60 degree
angle L =63 degree
angle J of IJK triangle = 80 degree
Side opposite to the smallest angle is smallest in sides and side opposite to the longest angle is largest in side.So,
side opposite to angle I is JK
side opposite to angle K is IJ
side opposite to angle K of JKL triangle is JL.
side opposite to angle J of JKL triangle is LK.
side opposite to angle L is JK.
side opposite to angle J of IJK triangle is IK.
therefore required answer is
JK , IJ , JL , LK , JK , IK
When subtracting 1.578 from 127.3, the result on the calculator is 125.722. Round the answer to the appropriate precision based on the precision of the numbers in the subtraction column
Answer:
[tex]127.3 - 1.578 \approx 125.7[/tex]
Step-by-step explanation:
Given
[tex]127.3 - 1.578 = 125.722[/tex]
Required
Round to the precision of the 1.578
The number in the subtraction column is 1.578; so, the question implies that we round up 125.722 to the precision of 1.578
The precision of 1.578 is 4 (i.e. it has 4 digits). Hence, 125.722 will be approximated to 4 significant digits.
So, we have:
[tex]125.722 \approx = 125.7[/tex]
or
[tex]127.3 - 1.578 \approx 125.7[/tex]
f(x) = 3x + 10
х
f(x)
-3
-2
-1
-4
Please help me on this question. Thanks
Answer:
E. p - 7 + 7 = 22 + 7
Step-by-step explanation:
p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)
p = 22 + 7
p - 7 = 22//
solve for this square.
Answer:
a2
b4
c16 brainliest plzz
Answer:
a) SV = 2
The line that is SV actually is not the full slash. It is halfway, and we know that half of four would be two.
b) RT = 4
This time RT is a full line going all the way down. So it would be 4.
c) p = a + b + c
The lengths are all the same because we calculated in the first question that two is half of four. So the base, height, and hypotenuse are the same, 2.
2 + 2 + 2 = 6
So the perimeter of the triangle RVS is 6.
IF YOU REALLY KNOW ABOUT THIS PLEASE HELP IT’S MY FINAL EXAM, leave it if you don’t..... The two triangles illustrated below are similar. What are the values of x and y?
Answer from A to D
Answer:
B
Step-by-step explanation:
the larger triangle is 4 times bigger.....so the measurements for the sides are multiplied by 4.
the shape however is the same ....so the internal angle will still be 83 degrees
Kayla wants to fence in a rectangular dog pen that is 30 ft by 40 ft How would you use wha
you know about geometry to help her ensure that she has truly built a rectangular pen?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the dimension of the dog pen = 30 ft by 40 ft.
Using the knowledge of geometry, that know that a rectangle has been built, the area of the pen should be :
Area of rectangle = Length * width
Area = 40 * 30
Area = 1200 ft²
Perimeter of rectangle = 2(Length + width)
Perimeter = 2(40 + 30)
Perimeter = 2(70)
Perimeter = 140 feets
Hence, area of the pen should be 1200 ft² and its perimeter or fencing should measure 140 feets
what's the value of 2
[tex]2\pi[/tex]
Pythagorean triples are super important to know. If the hypotenuse of a triangle is 15, what are its legs ( hint - use the three, four, five triple)
Answer:
9, 12
Step-by-step explanation:
Just multiply the 3,4,5 triple by 3 and u get 9, 12, 15
help me find the volume (picture)
Answer:
18
Step-by-step explanation
Find an equation for the line that passes through the points (-2,-6) and (6,4).
Step-by-step explanation:
Line P passes through POINTS (-2,6) and (6,4). Using y=mx + b where m is the SLOPE(rise divided by the run), and b is the Y-INTERCEPT. Pick the POINT (6,4) and plug into the Y-INTERCEPT EQUATION above to determine the Y-INTERCEPT
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
Answer:
Step-by-step explanation:
The general equation of the circle is:
(x-h)²+(y-k)²=r²
(h, k)=(-3,-5) are the coordinates of the center of the circle.
r=6 is the radius
The equation of the circle is:
(x+3)²+(y+5)² = 36
please help me find the area
Answer:
320 square feet.
Step-by-step explanation:
For the moment, let's put the square back in place. That would make the length 16 + 8 = 24 and the width 16.
L = 24
W = 16
Area = L * W
Area = 24 * 16
Area = 384
Now the next step is to take out the square. It is 8 * 8 = 64
The area of the figure = 384 - 64 = 320 square feet, and that's the answer.
Answer:
320 in^2
Step-by-step explanation:
we need to find the area of this figure
Firstly divide above picture in two parts
1st figure = (16*16)in.
2nd figure = (8*8)in.
Area of 1st figure = 16*16 = 256 in^2
Area of 2nd figure = 8*8 = 64 in^2
Area of whole figure = ( 256 + 64 )in^2
= 320 in^2
Help will give brailiest to first answer
question isn't loading
Step-by-step explanation:
Answer:
i think it is b but don't take my word
Step-by-step explanation:
3. Two dice are rolled. What’s the conditional probability that both dice are 5’s if it’s known that the sum of points is divisible by 5?
Answer:
[tex]Pr =\frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex] --- sample space
First, list out all outcomes whose sum is divisible by 5
[tex]A = \{(4,6), (5,5),(6,4)\}[/tex]
So, we have:
[tex]n(A) = 3[/tex]
Next, list out all outcomes that has an outcome of 5 in both rolls
[tex]B = \{(5,5)\}[/tex]
[tex]n(B) =1[/tex]
The required conditional probability is:
[tex]Pr =\frac{n(B)}{n(A)}[/tex]
[tex]Pr =\frac{1}{3}[/tex]
Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of columns. He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
2)How many chairs can he remove to arrange in a way that he wants? Justify your answer.
Answer:
84
59
Step-by-step explanation:
In other to have the same number of chayes in both rows and columns ;
If the Number of chairs per row = x ; then number of chairs per column = x
Then the total number of chairs needed = x * x = x²
Hence, if there are 5100 chairs ;
Number of chairs needed more ;
Take the square root of 5100 ;the round to the next whole number :
B.) For number of chairs to be removed ;
Take the square root of 5100 and round down to the whole number.
Hence,
A.) = √5100 = 71.414 = 72
72² - 5100 = 84
B.) 5100 = 71.414 = 71
5100 - 71² =
At Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice
cream alternating with layers of cake. If there are 8 flavors of ice cream, and we count
different cakes based on the order of ice cream layers from top to bottom:
a) how many different cakes can be made if flavors can be repeated?
Answer:
4096 different cakes can be made if flavors can be repeated.
Step-by-step explanation:
Since at Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice cream alternating with layers of cake, if there are 8 flavors of ice cream, and we count different cakes based on the order of ice cream Layers from top to bottom, to determine how many different cakes can be made if flavors can be repeated, the following calculation must be performed:
8 x 8 x 8 x 8 = X
64 x 64 = X
4.096 = X
Therefore, 4096 different cakes can be made if flavors can be repeated.
6(x + 2) in the simplest form
Using the Distributive Property we can put this in its simplest form.
6(x+2)
(6)(x)+(6)(2)
6x+12
Answer:
6x + 12
Step-by-step explanation:
Use the distributive property to multiply the 6 to the x and 2 to get 6x + 12.
Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5 (and your wager) for rolling a 5 or a 2, nothing otherwise. What are your expected net winnings, to the nearest cent?
Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth).How many distinct two-geon objects do we have in the space described above?
Answer:
49500
Step-by-step explanation:
According to the Question,
Given That, Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition, and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge). and a pair of geons can be placed in 10 distinct qualitative relations.We have, District geons = 20 , District Size = 5
So, The Number Of Ways A geon can be selected 20 x 5 = 100Now, We choose 2 geons From 100 Geons and arrange them in 10 district relations.
So, The number of district two-geon object= [tex]\left[\begin{array}{ccc}100\\2\end{array}\right] * 10[/tex]
= (100 × 99)/2 × 10
= 49.5×100×10 ⇒ 49500
I need help please anyone
Answer:
base: 3units
height: 5units
Area:15units square
Step-by-step explanation:
you can count the squares in the figure to know the base and hight.
Area of parallelogram= base x height= 3x5= 15 units square.
please give me brainliest, thanks!
When g(x) = 3x, what is g(5)?
Answer:
g(5) = 15
Explanation:
If the x in g(x) is 5 then the x beside 3 would also be 5.
g(5) = 3(5)
g(5) = 15
Hope this helps, good luck!
Answer:
g(5)= 15
Step-by-step explanation:
g(x) = 3x and in this situation x =5 ( g(5) )
so substitute x for 5 in the original equation:
g(x) = 3x --> g(5) = 3(5)
which gives you 15. Hope this helps!
What is the solution set for the quadratic inequality x2 – 5 ≤ 0?
Answer: -4...?
Step-by-step explanation:
Your cell phone plan costs 55 dollars a month, plus 35 cents per minute. Write an equation to represent the monthly bill of the cell phone plan.
Answer: Umm lemme try this
Step-by-step explanation:
55+35=x
2(x+3)=x-4
please help me <3
does anyone know the answer to this question
Can someone help me with this question please..
Answer:
The ordered pair would be (2,3)
2 in the first Box
3 in the second
Please help me solve this
Answer:
m1 = 107°
m2 = 73°
m3 = 107°
m1+m2+m3+m4 = 360°
107+73+107+73=360°
2. The cost of oranges varies directly with the total mass bought. 2 kg of oranges costs $4.50. Describe the relationship between cost and mass in words. You may want to calculate a unit rate first.
Answer:
The relationship between the cost/mass is $2.25/kg.
Step-by-step explanation:
You first need to divide $4.50 / 2, to know what a single kilogram mass costs.
$4.50 / 2 = $2.25
Now that you have this unit rate $2.25, You can multiply/add it.
$4.50 + $2.25 is $6.75, + another $2.25 = $9.00, and so on.
Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Excel File: data10-03.xlsx Enter negative values as negative numbers. a. What is the value of the test statistic? (to 2 decimals) b. What is the -value? (to 4 decimals) c. With , what is your hypothesis testing conclusion? - Select your answer -
Answer:
[tex]z = -1.53[/tex] --- test statistic
[tex]p = 0.1260[/tex] --- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given
[tex]n_1 = 80[/tex] [tex]\bar x_1= 104[/tex] [tex]\sigma_1 = 8.4[/tex]
[tex]n_2 = 70[/tex] [tex]\bar x_2 = 106[/tex] [tex]\sigma_2 = 7.6[/tex]
[tex]H_o: \mu_1 - \mu_2 = 0[/tex] --- Null hypothesis
[tex]H_a: \mu_1 - \mu_2 \ne 0[/tex] ---- Alternate hypothesis
[tex]\alpha = 0.05[/tex]
Solving (a): The test statistic
This is calculated as:
[tex]z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}[/tex]
So, we have:
[tex]z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}[/tex]
[tex]z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}[/tex]
[tex]z = \frac{-2}{\sqrt{0.8820 + 0.8251}}[/tex]
[tex]z = \frac{-2}{\sqrt{1.7071}}[/tex]
[tex]z = \frac{-2}{1.3066}[/tex]
[tex]z = -1.53[/tex]
Solving (b): The p value
This is calculated as:
[tex]p = 2 * P(Z < z)[/tex]
So, we have:
[tex]p = 2 * P(Z < -1.53)[/tex]
Look up the z probability in the z score table. So, the expression becomes
[tex]p = 2 * 0.0630[/tex]
[tex]p = 0.1260[/tex]
Solving (c): With [tex]\alpha = 0.05[/tex], what is the conclusion based on the p value
We have:
[tex]\alpha = 0.05[/tex]
In (b), we have:
[tex]p = 0.1260[/tex]
By comparison:
[tex]p > \alpha[/tex]
i.e.
[tex]0.1260 > 0.05[/tex]
So, we fail to reject the null hypothesis.