Answer:
$4.5
Step-by-step explanation:
Hot dogs=h
Cheese burgers=c
2h+3c=20
2h+5c=29
There are two ways to solve-
1. Elimination- multiply the bottom by -1.
2h+3c=20
-2h-5c=-29
-2c=-9
c=4.5
2. Just move 2h, and you get 2c=9, 4.5
(GIVING BRAINLIEST)
(Forming and solving simultaneous equations)
Pierre has more money than Alex.
If Pierre gave Alex £20, they would have the same amount.
If Alex gave Pierre £22, then Pierre would have twice as much as Alex.
How much does each one actually have?
Answer:
Pierre has £ 146 and
Alex has £ 106
Step-by-step explanation:
Let the money with Pierre be = p
Let the money with Alex = a
If Pierre gave Alex £20, they would have the same amount.
So, we should subtract £ 20 from p and add £ 20 to a
p - 20 = a + 20
p = a + 20 + 20
p = a + 40 ----------------(I)
If Alex gave Pierre £22, then Pierre would have twice as much as Alex.
p + 22 = 2*(a -22)
p + 22 = 2a - 44
p = 2a - 44 - 22
p = 2a - 66
p -2a = - 66 -----------------(II)
Substitute p = a + 40 in equation (II)
a + 40 - 2a = -66
a - 2a + 40 = -66
-a = - 66 - 40
-a = - 106
Multiply both sides by (-1)
[tex]\boxed{a = \£ \ 106}[/tex]
Substitute a = 106 in equation (I)
p = 106 + 40
[tex]\boxed{p = \£ 146}[/tex]
A manufacturer makes a closed right cylindrical container whose base has radius 7 inches and whose height measures 14 inches. He also makes another cylindrical container whose base has radius 14 inches and whose height measures 7 inches. Which container requires more metal?
Answer:
The base is a triangle with a base length of 11 m and a corresponding height of 7 m. The height of the prism is 14 m. 12.
Complete the table for f(x) = x2 + 2x - 3.
x -3 -2 -1 0 1
y=?
Answer:
x | -3 -2 -1 0 1
y | 0 -3 -4 -3 0
Step-by-step explanation:
f(x) = x² + 2x - 3
x = -3 then y = (-3)² + 2(-3) - 3 = 9 - 6 - 3 = 3 - 3 = 0
x = -2 then y = (-2)² + 2(-2) - 2 = 4 - 4 - 3 = 0 - 3 = -3
x = -1 then y = (-1)² + 2(-1) - 1 = 1 - 2 - 3 = -1 - 3 = -4
x = 0 then y = (0)² + 2(0) - 3 = 0 + 0 - 3 = 0 - 3 = -3
x = 1 then y = (1)² + 2(1) - 3 = 1 + 2 - 3 = 3 - 3 = 0
What is the system of linear equations for the following graph? Please just list the two equations
The equation of the blue line is y = 7x - 8 and the equation of the red line is y = -2x + 2
How to write a linear equationEquations are written as a function of two or more variables with input and output.
The standard linear equation is given in the form y = mx + b
m is the slope
b is the y-intercept
For the red line, the y-intecept is 2
Using the coordinate point on the red line (0,2) and (1, 0)
Slope = -2/1
Slope = -2
Equation of the red line is y = -2x + 2
For the blue line, we will use the coordinate points (2, 6) and (1, -1)
m = -7/-1
m = 7
-1 = 7(1) + b
-1 - 7 = b
b = -8
Hence the equation of the blue line is y = 7x - 8
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The volume of a sphere is 2,000π m3. What is the surface area of the sphere to the nearest square meter?
Answer:
Volume of a sphere = 4/3 πr³
4/3 * 3.14 * r³ = 4000
4.19 * r³ = 4000
r³ = 4000 / 4.19
r = ∛1058
r = 10.19
Now, surface area = 4πr² = 4 * 3.14 * (10.19)²
S.A. = 12.56 * 104
S.A. = 1307
In short, Your Answer would be Option D) 1307 m²
Hope this helps!
Step-by-step explanation:
Find the axis of symmetry and the vertex of the graph of the function.
g(x) = 2x^2+12x+4
so hmmm from the equation we can see that is in "x terms" so the independent variable is "x", that tells us the parabola is a vertical one, leading term's coefficient is "2", that means it opens upwards like a bowl.
on a vertical parabola the axis of symmetry is the x-coordinate of its vertex, let's find the vertex of this one.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+4} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 12}{2(2)}~~~~ ,~~~~ 4-\cfrac{ (12)^2}{4(2)}\right)\implies \left( -3~~,~~4-\cfrac{144}{8} \right) \\\\\\ (-3~~,~~4-18)\implies (\stackrel{x}{-3}~~,~~-14)~\hfill \stackrel{\textit{axis of symmetry}}{x=-3}[/tex]
Help please! I keep going down on ixl and I’ve been trying to do this ixl since yesterday so ima post a lot of these.
u can add lines to split the figure into a triangle and two rectangles.
Area of the figure
= (12x15)/2 + 6x4 + 2x5
=124 yd^2
a sphere has a volume of 2304pi mm^. find the diameter of the sphere
Answer:
My answer is The diameter is 24
Please help me it’s due today
Answer:
Northside
Median: 36
Range: 32
IQR: 17
Southside:
Median: 39
Range: 38
IQR: 22
Step-by-step explanation:
Northside first
Order the ages from least to greatest
24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56
Median is 36 since it's in the middle
Subtract the greatest number from the smallest number to find the range (56-24) = 32
To find the IQR you need the ages least to greatest
24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56
Find the lower quarter = 32
Find the upper quarter = 49
Subtract 49 and 32 (49-32) = 17
Southside
The Median is the line at the middle of the box, in this case its between 38 and 40 which is 39.
The range is 61 - 23 = 38 (Greatest - least)
The IQR is 52 - 30 = 22
Hope this helps!
The regular price of a baseball bat is $38.20. The baseball bat is on sale for %20 off the regular price. Josef has a coupon for an additional 10% off the sale price. What is the final price of the baseball bat?
Answer:
$27.5
Step-by-step explanation:
Other solution
38.2 X 0.8 = 30.56 (20% off)
30.56 X 0.9 = 27.504 (Another 10% off)
A right triangle. the legs are labeled x(a) and 6(b), and the hypotenuse is labeled √117(c)
what is the value of x? explain your answer
please help!! will give 20 points!!!!!!!
Answer: 9
Step-by-step explanation:
Suppose ABCD is a parallelogram. If AB = 9x + 2, CD = 12x - 4, BC = x + 7, determine the length of AD.
Need help asap
======================================================
Explanation:
For any parallelogram, the opposite sides are parallel and are the same length.
AB = CD
9x+2 = 12x-4
2+4 = 12x-9x
6 = 3x
x = 6/3
x = 2
Which leads to
AB = 9x+2 = 9(2)+2 = 20CD = 12x-4 = 12(2)-4 = 20BC = x+7 = 2+7 = 9Side AD is opposite BC, so AD = BC = 9
ANSWER PLEASE LINKS , SPAM , OR WRONG ANSWER WILL BE REPORTED AND DELETED 100 POINTS TO ANSWER AND YOU WILL GET BRAINLIEST PLEASE DONT WASTE YOUR TIME AND SEND LINKS , SPAM. OR WRONG ANSWER !!!!! HAVE A BLESSED NIGHT/DAY
Answer:
42.63mm²
Step-by-step explanation:
Base times height:
8.7 times 4.9 is 42.63mm².
So
Area:-
[tex]\\ \rm\rightarrowtail lw[/tex]
[tex]\\ \rm\rightarrowtail (8.7)(4.9)[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{87}{10}\times \dfrac{49}{10}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{4963}{100}[/tex]
[tex]\\ \rm\rightarrowtail 49.63mm^2[/tex]
Find the 63rd term of the arithmetic sequence -1, 5, 11, •
Answer:
The 63rd Term Is 309
Step-by-step explanation:
I need this answered please I’m in a rush
Answer:
-8, -2, 4, 10
Step-by-step explanation:
Plug the x value into the function.
2(-6)+4 = -8
and so on for all of the values in the table.
Answer:
y = 2(-6) + 4
y = -12 + 4
y = -8
y = 2(-3) + 4
y = -9 + 4
y = -5
y = 2(0) + 4
y = 0 + 4
y = 4
y = 2(3) + 4
y = 6 + 4
y = 10
Have an amazing day!!
Please rate and mark brainliest!!
(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:
a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.
#a
H(0)
It refers to y value on graph when x is 0
So here it refers to y intercept
y intercept (0,5)Hence
H(0)=5#b
Observe the graph
y intercept is not 0 so it's not true
#3
Domain is set of x values in graph
[0,oo)#4
Range is set of y values on graph
[5,50]If x is located at -2 and y is located at -5, find Z such that XY is divided into a 2:1 ratio
Answer:
z = -4
Step-by-step explanation:
Given :
x = -2y = -5z divides xy in the ratio 2 : 1 (m : n)Solving :
Take the section formulaz = [my + nx] / [m + n]z = [2 x -5 + 1 x -2] / [2 + 1]z = -10 - 2 / 3z = -12 / 3z = -4At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 5 minutes. Using the empirical rule, what percentage of customers have to wait between 21 minutes and 31 minutes?
Answer: 95% of the customers have to wait.
Answer: 68%
Step-by-step explanation:
draw a quadrilateral that has one angle measure of 20 degrees and exactly one side length of four units
Answer:
You can draw a trapezoid
i hope this helps if you know how to draw the trapezoid you can search on website
The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyramid, in square meters?
Find the volume of the figure below.
Answer:
C) 2808
Step-by-step explanation:
Volume of Triangular Prism = 1/2 x height x length x base
= 1/2 * 9 * 24 * 26
= 2808 mm^3
I hope my answer helps you.
A consumer charges a $2,530.16 purchase on a credit card. the card has a daily interest rate of 0.042%. if the balance is paid off at the end of 30 days, how much interest will the consumer pay? a. $0.32 b. $3.19 c. $31.88 d. $318.78 please select the best answer from the choices provided a b c d
The consumer will pay $31.91 as an interest.
Initial balance = $2,530.16
Daily interest rate = 0.042%
What is simple interest?Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments
So, balance at the end of the first day = 2530*(1.00042)¹
balance at the end of the second day = 2530*(1.00042)²
Similarly, balance at the end of the 30th day = 2530*(1.00042)³⁰
Balance at the end of the 30th day = $2562.07291
So, interest levied = $2562.07291 - $2,530.16
Interest levied = $31.91
Therefore, the consumer will pay $31.91 as an interest.
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The deck off the back of the house creates a right triangle. The side of the deck resting against the house is the hypotenuse of the triangle. You decide to put new stain on the wood. One edge of the deck measures 15 feet and the other edge of the deck measures 20 feet. Answer the follow- ing questions: 1. What is the area of the deck? 2. Each gallon of stain covers a maximum of 350 square feet. How many do you need? 3. If each gallon costs $36.98, what will the project cost you?
Approximately 2 gallons will be needed if each gallon of stain and the project will cost be $73.96 if each gallon costs $36.98
How to find the area of a triangleThe formula for calculating the area of a triangle is expressed as:
A = 0.5bh
where
base = 15feet
height = 20feet
Area of the deck = 20 * 15 * 0.5
Area of the deck is 150 square feet
Number of gallons needed = 350/150 = 2.3
Hence approximately 2 gallons will be needed if each gallon of stain covers a maximum of 350 square feet.
Cost of the two gallons = 36.98 * 2
Cost of the two gallons = $73.96
Hence the project will cost be $73.96 if each gallon costs $36.98
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i need help 9th grade math
Answer:
8x+7
Explanation:
f(x) = x + 3
g(x) = 7x + 4
==========
(f+g)(x)f(x) + g(x)x + 3 + 7x + 48x + 7Put values
x+3+7x+48x+7Done!
What are the x intercept
Answer:
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
Pls just help out 14 points plssssss
Answer:
Volume = 1/3 ft^3
Step-by-step explanation:
volume of prism is multiplying the dimensions
Volume = (1/3 ft)x(2/3ft)x(1 1/2ft)
Volume = (1/3 ft)x(2/3ft)x( 3/2ft)
Volume = (1x2x3)/(3x3x2) ft^3 = 6/18 ft^3 = 1/3 ft^3
Option B is correct, the volume of the right rectangular prism is 1/3 cubic feet.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure is a right rectangular prism.
The length is [tex]1\frac{1}{2}[/tex] feet
The width is 2/3 feet
The height is 1/3 feet.
Volume=Length×width×Height
= [tex]1\frac{1}{2}[/tex] ×2/3×1/3
=3/2×2/3×1/3
=1/3 cubic feet
Hence, Option B is correct, the volume of the right rectangular prism is 1/3 cubic feet.
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log(3y+2)-1=log(y-4) solve y
[tex]\log_{10} (3y+2) - 1 = \log_{10}(y-4)\\\\\implies \log_{10} (3y+2) - \log_{10} 10 = \log_{10} (y-4)\\\\\implies \log_{10} \left( \dfrac{3y+2}{10} \right) = \log_{10} (y-4)\\\\\implies \dfrac{3y+2}{10} = y-4\\\\\implies 3y+2 = 10y-40\\\\\implies 10y-3y = 40+2\\\\\implies 7y = 42\\\\\implies y = \dfrac{42}7\\\\\implies y = 6[/tex]
Generalize How do the graphs of the solutions of inequalities involving greater than (>) and greater than or equal to (2) compare?
Write the equation of the circle with the given information: Center: (3,-3) Radius: 2sqrt{6}
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{3}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{2\sqrt{6}}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-3]^2~~ + ~~[y-(-3)]^2~~ = ~~(2\sqrt{6})^2\implies (x-3)^2+(y+3)^2=24[/tex]
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Now
[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{22}{H}=sin77[/tex]
[tex]\\ \rm\Rrightarrow H=22/sin77[/tex]
[tex]\\ \rm\Rrightarrow H=22.59ft\approx 23ft[/tex]
The length of the extension ladder that is against the outside wall of the house is 22.58 feet.
What is the length of the ladder?When the ladder lies against a house, a right triangle is formed. The length of the ladder is the hypotenuse. The distance from the base of the ladder to the house is the base. The lenfth off the house is the length.
To find the length of the ladder, Sin would be used:
Sin = opposite / hypotenuse
Sin 77 = 22 / h
h = 22 / 0.9743 = 22.58 feet
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