Using a system of equations, it is found that:
The cost of a health bar is of $1.The cost o a health drink is of $2.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Cost of a health bar.Variable y: Cost of a health drink.You buy 4 health bars and 3 health drinks for $10, hence:
4x + 3y = 10.
Your friend buys 6 health bars and 2 health drinks for $10, hence:
6x + 2y = 10
2y = 10 - 6x
y = 5 - 3x.
Replacing on the first equation:
4x + 3y = 10
4x + 3(5 - 3x) = 10
-5x = -5
5x = 5
x = 1
Then:
y = 5 - 3x = 5 - 3 = 2.
The cost of a health bar is of $1.The cost o a health drink is of $2.More can be learned about a system of equations at https://brainly.com/question/24342899
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The diameter of a circle is 5 cm. Find its area to the nearest whole number.
Answer:
79cm
Step-by-step explanation:
Area of a circle = πr^2
Plug in r: π(5)^2 = 79cm
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:
(DOUBLE POINTS) Find x.
Answer: 15 and 26
Step-by-step explanation:
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
A triangle has sides with lengths of 51 miles,68 miles and 85 miles. Is it a right triangle.?
Answer: YES
Step-by-step explanation: It is
Which expression is a factor of 21x2 + 13x – 20?
A 3x – 4
B 72 - 5
C 7x +4
D 30 + 5
Answer: A
Step-by-step explanation:
This seems to be the only applicable answer
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
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]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]
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.
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Answer:
1/4 1/8 and Freddy was faster
Step-by-step explanation:
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
help me to solve this problem
Answer:
(More than an hour) Three times as many
(Less than an hour) Two times as many
Step-by-step explanation:
An art gallery wants to display 4 pieces of art in the front window. If there are 8 pieces to choose from, how many distinct displays are
possible?
A. 40,320
B. 10,080
OC. 1,680
D. 70
Answer: 70
Step-by-step explanation:
you would do 8C4
If there are 8 pieces to choose from, there are 1,680 different ways distinct displays are possible.
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
To find the Ways can 8 pieces of art in the front window be arranged in the display window.
Let us use permutation to find the number of ways can 8 pieces of art in the front window be arranged in the display window.
here we have
n= 8
r= 4
substituting the values,
[tex]^nC_r = \dfrac{n!}{ (n-r)!}\\\\^8C_4 = \dfrac{8!}{ (8-4)!}\\\\^8C_4 = \dfrac{8!}{ (4)!}\\\\^8C_4 = 8 \times 7 \times 6\times 5\\\\^8C_4 =1680[/tex]
Learn more about combinations and permutations here:
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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.
(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.
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!
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.
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
Just need the answer fast pls help
Answer:
121/49 a^8 b^2
Step-by-step explanation:
the answer is the last option
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.
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
paragraph explaining how the volume of a sphere in real world and mathmatical problems
Answer:
We can find the volume of a sphere using the volume of a cylinder. Cylinder is a solid which has a circular base. We know the fact that the volume of any solid is equal to the product of base area and height of the solid. So, the volume of a right circular cylinder of base radius ‘r’ and height ‘h’ is given by
Step-by-step explanation:
18t
What is the value of t?
12t
15t
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:
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!)
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]
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
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 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
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