Let's solve this problem step-by-step
Let's set:
2x + 6y = 36 -- equation 1
x + 4y = 20 -- equation 2
(equation 2) * 2
2x + 8y = 40 -- equation 3
(equation 3) - (equation 1)
2y = 4
y = 2 -- equation 4
Plug (equation 4)'s value of y into (equation 2)
x + 4(2) = 20
x = 20 - 8
x = 12
Thus x = 12 and y = 2
Let's check, by substituting these values
[tex]2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20[/tex]
Answer: x = 12 and y = 2
Hope that helps!
18t
What is the value of t?
12t
15t
How do you find the answer for surface area?
Answer:
720 m²
Step-by-step explanation:
The surface area of the prism is the sum of the areas of its 5 surfaces.
Area of triangle= ½ ×base ×height
Area of front face
= ½(6)(8)
= 24 m²
Area of back face= 24 m²
Area of rectangle= length ×breadth
Area of base
= 8(28)
= 224 m²
Area of right surface
= 10(28)
= 280 m²
Area of left surface
= 6(28)
= 168 m²
Total surface area
= 24 +24 +224 +280 +168
= 720 m²
omg pls help and include work if you can. please simplify
rad 128 can be broke into 64*2
square root of 64 is 8, times -5,
which leaves -40rad2
Write the slope-intercept form of the equation of the line that is perpendicular to and passes through Point X. Show all work for full credit.
Answer:
[tex]y =\dfrac{12}{5}x + 22[/tex]
Step-by-step explanation:
Slope-intercept form of line:
First find the slope of the line AB. ie, m
Slope of the perpendicular line = -1/m
(2 , 3) ⇒ x₁ = 2 & y₁ = 3
(-10, 8) ⇒ x₂ = -10 & y₂ = 8
[tex]\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]= \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}[/tex]
[tex]\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}[/tex]
[tex]\sf = -1 * \dfrac{12}{-5}=\dfrac{12}{5}[/tex]
Equation of the required line: y = mx + b
[tex]y =\dfrac{12}{5}x+b[/tex]
The line passes through (-5 , 10). Substitute in the above equaiton,
[tex]10 =\dfrac{12}{5}*(-5) + b\\\\ 10 = (-12) + b\\\\[/tex]
10 + 12 = b
b = 22
Equation of the line:
[tex]y =\dfrac{12}{5}x + 22[/tex]
Below are the marks obtained by 7 students out of 40 questions on a maths test.
11, 27, 10, 27, 14, 33, 11
Find the mean absolute deviation.
(If the answer is a decimal, round it to the nearest tenth.)
Answer: according to my calculator, the answer is 8.5714285714286 i hope this is correct lol,
Step-by-step explanation: Hope this helps ^_^
Which inequality represents the graph?
z≤-10 z≥-10
z-10 z<-10
K
+
-25-20 -15-10 -5
0
0
5
O
Answer: [tex]z \ge -10[/tex]
Reason: The graph shows all values that are z = -10 or larger.
The closed endpoint at -10 indicates we include it with an "or equal to".
If it was an open hole endpoint, then we'd say z > -10 instead.
Suppose that 19 inches of wire costs 76 cents. At the same rate, how much (in cents) will 14 inches of wire cost?
Answer:
10.64
Step-by-step explanation:
The area of the triangle 5yd 16yd 12yd
The formula for the area of the triangle is A = 1/2bh (1/2•base•height).
Identify your base and height and substitute them into the formula. Since you did not include an image or info in which states the base and height, this is what I can say.
If the base and height are 5 and 12, the area would be 30 yds. (1/2 x 5 x 12)
If the base and height are 5 and 16, the area would be 40 yds. (1/2 x 5 x 16)
If the base and height are 12 and 16, the area would be 96 yds. (1/2 x 12 x 16)
Factor 9p² +6p-8
Step 1: multiply a x c and write the new equation
Step 2: Divide by "a" and simplify the fractions. Write the new equation n factored form.
Step 3: Bottoms up and write the new equivalent equation in factored form.
does anyone know the answers to these blank questions?
if so pls type it in! thank you!!
( pic question uploaded )
Answer:
h = 21
n = 60
p = 7
Holly opened a savings account at a local bank. She deposited $3,100.00 into the account 9 years ago. If the account earns an
annual simple interest rate of 7.1%, how much interest has she earned?
Answer:
She has earned $1980.90 in interest.
Step-by-step explanation:
Since we know that she deposited $3100 9 years ago, we know we have to find the amount of interest she gets per year times 9. So $3100*0.071 = $220.10 and then $220.1*9 = $1980.90. Therefore, she has earned $1980.90 in interest.
Answer:
The answer is 1980.9
Step-by-step explanation:
Formula is PxRxT
P=Princlple(Amount of money desposited)
R=Rate the rate in deciaml form. Example: 7.1=0.071
T=Time
SI=3100x0.071x9=1980.9
P R T
PLS HALP!
Bisect line segment AB.
Steps.
1. Center your compass at A so that it measures more than half way to B. Draw arcs above and below segment AB.
2. Using the same compass measurement as step 1, center your compass at B. Draw two arcs above and below segment AB so that they intersect the arcs from step 1. Name these intersection points C and D.
3. Draw line CD.
4. Name the intersection of line segment AB and line segment CD, point M.
5. CD is a segment bisector of segment AB.
Answer:
Shown in the photo
Step-by-step explanation:
I just followed the steps. If you need more help let me know :)
if a=3,b=−1 and c= −2,3ac-4c²/ 5ab
Step-by-step explanation:
Given expression,
[tex]\\ \longrightarrow \qquad \sf \frac{3ac-4c²}{ 5ab} \\ \\ [/tex]
Now, when a = 3, b = -1 and c = -2 we get,
[tex]\\ \longrightarrow \qquad \sf \frac{3.3.( - 2)-4. {( - 2)}^{2} }{ 5.3.( - 1)} \\ \\ [/tex]
[tex] \longrightarrow \qquad \sf \frac{3.( - 6)-4. 4 }{ 5.( - 3)} \\ \\ [/tex]
[tex]\longrightarrow \qquad \sf \frac{ - 18-16 }{ - 15} \\ \\ [/tex]
[tex]\longrightarrow \qquad \sf \frac{ - 34 }{ - 15} \\ \\ [/tex]
[tex]\longrightarrow \qquad \sf \frac{ 34 }{ 15} \\ \\ [/tex]
Which idea is most directly related to Lamarck’s beliefs about evolution?
Answer:
make me brinliest
Step-by-step explanation:
he sai that evolution occurs because of changes during lifetime passed onto offspring
A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.
Find the slope from the graph and from the table to compare the speeds of two marathon runners.
What is the constant speed of Fast Freddy?
What is the constant speed of Speedy Sam?
Who ran faster?
Using linear function concepts, it is found that:
The constant speed of Fast Freddy is of 0.25 miles per minute.The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For Fast Freedy, we have that he run one mile in four minutes, hence the slope is given by:
mF = 1/4 = 0.25 miles per minute.
The constant speed of Fast Freddy is of 0.25 miles per minute.
For Speedy Sam, when the the time changes by 16 minutes, the distance changes by 2, hence his slope is given by:
mS = 2/16 = 1/8 = 0.125 miles per minute.
The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.
More can be learned about linear function concepts at https://brainly.com/question/24808124
#SPJ1
Answer:
1/4 1/8 and Freddy was faster
Step-by-step explanation:
whats the biggest ten you can multiply by 3 but dont go over 42
Answer:
14
Step-by-step explanation:
3x14=42 it dosen't go over 42
Answer: 14
Step-by-step explanation:
3,6,9,12,15,18,21,24,27,30,33,36,39,42
3x14=42
How do I answer this question?
Answer:
320
Step-by-step explanation:
38-14=24:2=12
12x 16:2=128x2= 256
14 x 16 =224+256= answer 320
Answer:
(c) 416 cm²
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.
__
Using the given dimensions, the area is found to be ...
A = 1/2(14 cm +38 cm)(16 cm) = (1/2)(52 cm)(16 cm) = 416 cm²
The area of the figure is 416 cm².
How many 1/2 are in 1 whole
1/2 is equal to 0.5. If we multiply this amount by 2, then we get 1. There are 2 halves in a whole.
Answer:
There are 2 halves in a whole. If you split 1 in 2 you get 0.5, or 1/2.
The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?
Answer:
x = 5
or
x = 3
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .
-15 + -1 = -16
-5 + -3 = -8
If the equation x²−8x−5=0 can be transformed into the equation (x−p)²=q, then value of q is 21
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To transform the equation x² - 8x - 5 = 0 into the equation (x - p)² = q, we need to complete the square by adding and subtracting a constant term.
First, let's add 5 to both sides to get:
x² - 8x = 5
Applying complete square method
we need to add and subtract 16 inside the parentheses on the left-hand side:
x² - 8x + 16 - 16 = 5
Simplifying the left-hand side gives us:
(x - 4)² - 16 = 5
Adding 16 to both sides gives us:
(x - 4)² = 21
Therefore, the value of q is 21.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
(DOUBLE POINTS) Find x.
Answer: 15 and 26
Step-by-step explanation:
Please help! It’s to early for my brain to function :/
Answer:
The answer is B
Step-by-step explanation:
Distance formula- √(x2-x1)² + (y2-y1)²
Step 1: Plug in your values.
√(4a-a)² + (0-(-2b)²
Step 2: Substitute
√(3a)² + (2b)²
It cannot be simplified anymore, so your answer is:
B (√(3a)² + (2b)²)
(Please give brainliest if it helps!)
Give me an example of how you would solve 1+1 in the worst way possible
Answer:
add 20 subtract 20 multiply by 3 divide by 3 add 1
Just need the answer fast pls help
Answer:
121/49 a^8 b^2
Step-by-step explanation:
the answer is the last option
(Pls help ASAP) (Willing to give 15 points for 2 answers) (Pls don't answer if you don't know)
The second one you have to choose GREATER THAN, LESS THAN, OR EQUAL TO
Answer:
1. y=3x
2. equal to
Step-by-step explanation:
1. The equation of the line is y=3x because the line has a y-intercept of zero and a slope of 3.
2. The y-intercept of the line on the graph is -2. The y-intercept of y=2x-2 is also -2. So, the two y-intercepts are equal to each other.
PLS HELP FAST !!!
The chart below shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred to see. If the theater owner asked 100 people, how many people would prefer Drama? Round to the nearest whole number
Using proportions, it is found that if the theater owner asked 100 people, 47 would prefer Drama.
What is a proportion?A proportion is a fraction of a total amount.
From the table, out of the 7 + 18 + 7 + 6 = 38 people surveyed, 18 prefered drama. Hence the proportion is given by:
p = 18/38 = 0.47.
Out of 100 people, the amount would be given by:
A = 0.47 x 100 = 47.
More can be learned about proportions at https://brainly.com/question/24372153
Triangle ABC is similar to triangle XYZ
Which series of transformations correctly maps △ABC to △XYZ?
Dilate △ABC by a scale factor of 2 centered at the origin, then rotate the result 180∘ about the origin.
Dilate △ABC by a scale factor of 1/2 centered at the origin, then rotate the result 180∘ about the origin.
Dilate △ABC by a scale factor of 1/2 centered at the origin, then reflect the result across the x-axis.
Dilate △ABC by a scale factor of 2 centered at the origin, then reflect the result across the x-axis.
Answer: Dilate △ABC by a scale factor of 2 centered at the origin, then rotate the result 180∘ about the origin.
Step-by-step explanation:
Which values are the solutions to the polynomial equation?
0 = x2 – 18x + 65
Answer:
If the question is [tex]2x^{2} -18x+65[/tex] then the answer is no real solution. If the question is 2x - 18x + 65 than the answer is -16x+65
Answer:
x = 13, 5
Step-by-step explanation:
x² - 18x + 65 = 0
step 1: multiply (1) and (65) together
step 2: find two negative numbers to add together to equal -18 but multiply together to equal 65.
step 3: since there isn't a number in front of x² you could:
(x - 13) (x - 5)
x - 13 = 0 x - 5 = 0
+13 +13 +5 +5
x = 13 x = 5
or
(x² - 13x) (-5x + 65)
x(x - 13) -5 (x - 13)
(x - 13) (x - 5)
x - 13 = 0 x - 5 = 0
+13 +13 +5 +5
x = 13, 5
I hope this helps!
What is the slope of the line that passes through the points (-10,9) and (-10,18)?
Write your answer in simplest form.
Answer:
slope = (y₂ - y₁) / (x₂ - x₁)
18-9/-10-10
=9/0
The slope is undefined and it is a vertical line.
Step-by-step explanation:
OR
since x₂ , x₁ are the same value -10 the slope is undefined.
The likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population is the ________.
The likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population is the statistical significance
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
x is 3 values that sum to at least 23
Step-by-step explanation:
[tex]\frac{8+7+5+9+10+7+6+x}{10}=\frac{52+x}{10}[/tex][tex]\frac{52+x}{10}=7.5[/tex][tex]52+x=7.5\times 10=75[/tex][tex]x=75-52=23[/tex]