Answer:
a=100
b=1
Step-by-step explanation:
18a+65b=1865
23a+7b=2314
We need to make one of the variables equal to the other
So...
The LCM for 65 and 7 is 455
So multiply 7 with 18a+65b=1865
and Multiply 65 with 23a+7b=2314
7 times 18a+65b=1865 is 126a+455b=13055
65 times 23a+7b=2314 is 1495a+455b=150410
So Subtract 126a+455b=13055 and 1495a+455b=150410
So 1369a=137355
Divide:
Which is about 100 (The actual value is 100.3323594)
Thus a=100
Substitute:
b=1
Hope this helps!
(The answer is rounded)
13. A new bank customer with $5,000 wants to open a money market account. The bank is
offering a simple interest rate of 1.3%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?
2 POINTS
Answer:
a) 900 dollars
b) 5900 dollars
Step-by-step explanation:
The complete question is
A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1.8%. a. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?
A boat heading out to sea starts out at Point AA, at a horizontal distance of 968 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 7^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 3^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
As the distance from the lighthouse, LH, increases, the angle of elevation,
reduces.
The distance from point A to point B is approximately 1,269.9 feet.Reasons:
The distance of point A from the light house = 968 feet
Angle of elevation from point A to the lighthouse = 7°
Angle of elevation from point B to the lighthouse = 3°
Required:
The distance from point A to point B.
Solution:
[tex]\displaystyle tan(\theta) = \frac{Opposite \, side \, to\, angle}{Adjacent\, side \, to\, angle} = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{Horizontal \ from \ boat \ to \ the\ LH}}[/tex]
Which gives;
[tex]\displaystyle tan(7^{\circ}) = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{968 \ feet}}[/tex]
Height to the lighthouse = tan(7°) × 968 feet ≈ 118.86 feet
From point B, we have;
[tex]\displaystyle tan(3^{\circ}) = \mathbf{ \frac{118.86 \ feet }{Horizontal \ distance \ from \ point \ B\ to \ LH}}[/tex]
Therefore;
[tex]\displaystyle Horizontal \ distance \ from \ boat \ to \ LH = \frac{118.86 \ feet }{tan(3^{\circ})} \approx \mathbf{2237.9 \, feet}[/tex]
Therefore;
Distance from A to B = D
D = Horizontal distance from B to LH - Horizontal distance from A to LH
Distance from A to B = 2237.9 feet - 968 feet ≈ 1269.9 feet
The distance from point A to point B, D ≈ 1,269.9 feet
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Is x+2y=6
2x-3y=26
have no solution,one solution, or infinity many solution
Answer:
1
Step-by-step explanation:
x + 2y = 6, multiply by 2 = 2x + 4y = 12
2nd equation: 2x - 3y = 26
It has one solution
Answer: One solution
Step-by-step explanation:
Convert both equations into slope-intercept form:
x+2y=6
2y=6-x
[tex]y=\frac{6-x}{2}[/tex]
Slope = 6/2 = 3
2x-3y=26
y=2x-26/3
Slope = 2/3
Therefore, he system of equations have one solution because their slopes are not equal.
Graph the line y= 2/3x +1
Step-by-step explanation:
Given the linear equation, y = ⅔x + 1, where the slope, m = ⅔, and the y-intercept, (0, 1) where b = 1.
Start at the y-intercept:In order to graph the given linear equation, start by plotting the coordinates of the y-intercept, (0, 1). As we know, the y-intercept is the point on the graph where it crosses the y-axis. It coordinates are (0, b), for which the value of b represents the value of the y-intercept in slope-intercept form, y = mx + b.
Plot other points using the slope:From the y-intercept, (0, 1), we must use the slope, m = ⅔ (rise 2, run 3) to plot the other points on the graph. Continue the process until you have sufficient amount of plotted points on the graph that you could connect a line with.
Attached is a screenshot of the graphed linear equestion, which demonstrates how I plotted the other points on the graph using the "rise/run" techniques" discussed in the previous section of this post.
[tex]\huge\boxed{Hello,\:hope\:you\:are\:having\:a\:wonderful\:day.}[/tex]We are asked to graph the line y=2/3x+1.
2/3 is the slope of this line (Rise/Run)
The rise is how many units we move up; the run is how many units we move left or right.
For this line, 2 is the rise, and 3 is the run.
Now, 1 is the y-intercept. (where the graph touches the y-axis)
First, plot this point: (0,1)
Then, move 2 units up and 3 to the left (Up 2, over 3, up 2, over 3)
When you have a line, take a ruler and connect these points, and you will have the graph of y=2/3x+1.
[tex]\huge\bold{Hope\:it\:helps!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
[tex]\huge\sf{Good\:luck}[/tex]
Paula caught a tarpon with a weight that was 10 times as great as the weight of a permit fish she caught. The total weight of the two fish was 154 pounds.
How much did each fish weigh?
The permit fish weighed _____ pounds.
The tarpon weighed ______ pounds.
Answer:
The weight of permit fish 140 pounds
The weight of Tarpon fish 14 pounds
Step-by-step explanation:
Let the weight of Tarpon fish ve 'x' Then by question weight of permit fish be '10x'
Now by question
x+10x=154 pounds
or,11x=154 pound
or,x=154pound/11
Therefore, x = 14 pounds
Again by question weight of permit fish
for 10x
by substituting value of x we have,
=10×14 pounds
=140 pounds
Please help I’ll give brainliest ASAP
Answer:
1 I don't know if those are questions but try if they are try the first one a
A plane travels 2047.5 miles in 3.5 hours. Find the plane's speed in miles per hour.
585m/hr
Step-by-step explanation:To find the plane's speed for 1 hour, we will need to divide 2,047.5 by 3.5:
2,047.5 / 3.5 = 585.
585 miles represents the speed of the plane for 1 hour.
Plz help ToT I'm horrible at math
Answer:
24 Square Inches
Step-by-step explanation:
Every month a salary of ₹25,500.50 is deposited in Kavya’s account. How much money will she earn in a year?
Answer:
It's 306006
Step-by-step explanation:
It is 306006 because their is 12 months in a year and if you get 25500.5 dollars every month you multiply 25500.5 by 12.
I hope this was helpful!
find the domain of y= 2/3 square root of x+5-4
write the inequality this number line represents "14-15-16-17-18-19-20-21-22-23-24"
PLEASE HELP!!
Answer:
x≤19
Step-by-step explanation:
because its everything to the left of 19 including 19
Answer:
Interval notation: (- ∞, 19]
Inequality notation: -∞ < x ≤ 19
Step-by-step explanation:
Given the inequality graphed on a number line, where there is a closed circle on 19:
A closed circle represents the endpoint as part of the solution. Moreover, the direction of the arrow on the number line points toward the left, which implies that all of the values that are less than or equal to 19 are included on the solution.
Therefore, the inequality represented on the number line is:
Interval notation: (- ∞, 19]
Inequality notation: -∞ < x ≤ 19
F(x)=80-15x. When x is 2.5, what is the function's value?
Kitty Foods sells their cat food in 3 3/4 lb bags, while Cat Caterers sells 2 1/8 lb bags. How much bigger are the bags Kitty Food sells than those sold by Cat Caterers? Reduce your answer to lowest terms.
A. 1/2 lb
B. 5/8 lb
C. 1 5/8 lbs
D. 1 1/2 lbs
Answer: The answer for the question is: 1 5/8
Step-by-step explanation:
Which statement is true about the equation 4.5z = 4.5z − 4.25 + 6.25? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.
Answer:
it has infinitely many solutions
Step-by-step explanation:
hope it help bro
Answer:
d
Step-by-step explanation:
Tommy is reading at a rate of 4 pages every 16 minutes. Write an equation that shows Tommy’s reading rate in pages per minute.
Answer:
0.25 pages per minute
Step-by-step explanation:
4 pages per 16 mins.
4/16 = 0.25
0.25 pages per minute
its a word equation, hopefully this helped!
is 4y=16x a Direct variation
In the given equation, as the value of y increase, the value of x also
increases.
Yes, 4·y = 16·x is a direct variationReasons:
A direct variation is a relationship that exists between two variables. It is
also known as a direct proportion which can be expressed as; y = k·x
Where k is a number
The given equation is 4·y = 16·x
Dividing both sides by 4 gives;
[tex]\displaystyle \frac{4 \cdot y}{4} = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}[/tex]
Which gives;
y = 4·x
Comparing the above equation with the equation for a direct variation gives;
y = 4·x
y = k·x
Therefore;
k = 4
The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.
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Evaluate the function.
f(x)=-3x^2-20
Find f(−7)
Answer:
Answer: f(-7) = -167
Step-by-step explanation:
[tex]{ \tt{f(x) = - {3x}^{2} - 20}}[/tex]
• When x is -7, f(x) is f(-7):
[tex]{ \tt{f( {}^{ - }7) = {}^{ - } 3( { {}^{ - }7) }^{2} - 20 }} \\ \\ { \tt{f( {}^{ - } 7) = ( {}^{ - } 3 \times 49) - 20}} \\ \\{ \tt{ f( {}^{ - }7) = {}^{ - } 147 - 20 }} \\ \\ { \boxed{ \tt{f( {}^{ - }7) = {}^{ - } 167 }}}[/tex]
Based on the calculations, the evaluation of this function is equal to -167.
Given the following data:
[tex]f(x)=-3x^2-20[/tex]How to evaluate a function.In this exercise, you're required to evaluate the given function. This ultimately implies that, we would substitute the vale of x into the function as follows.
Note: The value of x is equal to -7.
Substituting the given parameter into the function, we have;
[tex]f(-7)=-3(-7)^2-20\\\\f(-7)=-3(49)-20\\\\f(-7)=-147-20[/tex]
f(-7) = -167.
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A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3. 6. Which mileage is within a z-score of 1. 5? 21 miles 24 miles 36 miles 41 miles.
The correct option is (B).24 miles.
Z-score is basically another term for the specific number of standard deviations. I suppose we can assume normality here, even though it isn't given, so I'd make a rough sketch.
Otherwise, just use the basic formula:
[tex]z_{score} =\dfrac{x-\mu}{\sigma}[/tex]
Given that,
[tex]\bar{x}=29[/tex] (statistic for a mean) and [tex]s=3.6[/tex] (statistic for a standard deviation).
Since z-score must be Less than 1.5, So
[tex]1.5> \dfrac{x-29}{3.6}\\[/tex]
[tex]1.5 \times3.6 > x-29\\5.4+29> x\\34.4> x[/tex]
I just used normal cdf and got [tex]23.6<x<34.4[/tex].
Hence the correct option is (B).24 miles.
For more details on z score follow the link:
https://brainly.com/question/13299273
Answer:
B
Step-by-step explanation:
Correcct on edge22
Resultado de la operación -2-(5-3)+4
Answer:
0
Step-by-step explanation:
-2-(5-3)+4
-2-2+4
-4+4
0
what is 2/3 x 9/8 as a fraction in simplest form
Answer: [tex]\frac{3}{4}[/tex]
Have attached the picture for explanation...
The product of the fraction in the simplest form is 3/4
What is a fraction?A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.
What is the product of the fraction?2/3 x 9/8 = 18/24 = 3/4
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How many centimeters equal 128.9 meters?.
*Enter you answer in the box*
|___| cm
Marcus has twice as many pens as Bryan. Together they have 36 pens. How many pens does each boy have?
Answer:
Marcus has 24 pens while Bryan has 12 pens.
Step-by-step explanation:
Let u rep 1 unit.
Marcus = 2u
Bryan = u
2u+u=36
3u=36
u=36÷3
=12
No. of pens Marcus has
= 2u
= 2×12
= 24
No. of pens Bryan has
= u
= 12
Please help me Find the slope no links or bots please and thank you I really need help
Answer:
B) -7/4
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify.
y = -7/4x + 4
Step 2: Break
Slope m = -7/4
y-intercept b = 4
Given g(x)=-x+4g, solve for x when g(x)=8
Answer:g(-4)=8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Draw the polygon with the given vertices in a coordinate plane.
(3,2),(4,7),(6,0)
I will give you brainlist if you draw it out too
PLEASE TYPE IN THE COORDINATES
Answer:
Step-by-step explanation:
The equation y + 6 = one-third (X minus 9) is written in point-slope form. What is the equation written in slope-intercept form?
A: y = 1/3 x - 3
B: y = 1/3 x + 9
C: y = 1/3 x - 9
D: y = 1/3 x + 3
Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500. What is the tax rate.
Answer:1.07
Step-by-step explanation:
Two squares are congruent if and only if:
A. any two corresponding angles are
congruent
B. two pairs of corresponding angles are
congruent
C. all four pairs of corresponding angles are
congruent
D. a side of one is congruent to a side of the
other
D) a side of one is congruent to side of the other
Coz in the question it specified that both the shapes are square so obviously all angles are equal (90°)
Now we only need one side of it congruent .
What is the supplement of a 30° angle?
Answer:
150˚
Step-by-step explanation:
To find the supplement of a 30˚ angle, we need to know what an supplement in geometry is.
A supplement is when two angles add up that results in 180
So what value adds to 30˚ will get 180?
To find out that we just subtract 180 with 30
Which is 150
Thus the Supplement of a 30˚ angle is 150˚
Hope this helps!
find mLABC
is from Big Ideas
Answer: 50
Step-by-step explanation: add DBC and ABD to get 50 ABC is 50