Answer: 1584.1875
Step by Step Explanation:
Step 1. Multiply the fraction
71 x 89.25/4
Step 2. Multiply the numbers 71 x 89.25.
= 6336.75/4
Step 3. Divide the number 6336.75/4.
= 1584.1875
Hope I could help! :)
If ABC is congruent to DEC, angle B = 50 degrees and angle E = 5x x=
Answer:
the answer is 10
Step-by-step explanation:
if b is congruent to e
(which it is)
e=50 degrees
50/5=10
x=10
The value of x is 50 degrees.
Explanation:In the given question, if ABC is congruent to DEC and angle B is 50 degrees, we want to find the value of angle E.
Since ABC and DEC are congruent, their corresponding angles are equal.
Therefore, angle E will also be equal to angle B, which is 50 degrees.
So, x = 50 degrees.
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Tamika opened a money market account that has a 4.25% annual interest rate, compounded annually. She deposits $1,750 into the account each year. How much interest will the account earn after 15 years?
$9,449.40
$33,949.40
$35,699.40
$71,398.40
The interest Tamika earns after 15 years with an annual deposit of $1,750 in a money market account with a 4.25% annual compound interest rate is $9,449.40.
Explanation:This is a problem of calculating compounded interest over time. The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years. But since Tamika is depositing $1,750 each year, this becomes an annuity problem. So, the future value of an annuity formula is used, which is FV = P * [(1 + r)^nt - 1] / r.
Here, P = $1,750, r = 4.25% or 0.0425, n = 1 (since interest is compounded annually), and t = 15 years. Substituting these into the formula, we find FV = $1,750 * [(1 + 0.0425)^15 - 1] / 0.0425 = $35,699.40.
The total amount after 15 years is $35,699.40, but this includes her contributions which total $26,250 (1750 * 15). So, the interest she earned is $35,699.40 - $26,250 = $9,449.40.
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The hypotenuse of a 45 -45° -90° triangle measures 18 cm. What is the length of one leg of the triangle?
So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:
[tex]x\sqrt{2} =18[/tex]
From here we can solve for x. Firstly, divide both sides by √2.
[tex]x=\frac{18}{\sqrt{2}}[/tex]
Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:
[tex]\frac{18}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{18\sqrt{2}}{2}\\\\\\x=\frac{18\sqrt{2}}{2}[/tex]
Next, divide:
[tex]x=9\sqrt{2}[/tex]
AnswerIn short, the length of one leg of the triangle is 9√2 cm.
A 45-45-90 triangle is a special triangle: If the legs of the hypotenuse each equal x then the length of the hypotenuse is equal to x√2.
To find the length of one of the legs, all we need to do is find the value of "x".
The hypotenuse in a 45-45-90 triangle is equal to x√2.
In this case we are given the hypotenuse which equals 18cm.
x√2 = 18
to find the value of x divide both sides by √2
x√2 / √2 = 18 / √2
x = 18/√2 or 9√2 (the most simplified form)*
x is the length of one of the legs of a 45-45-90 triangle.
*Note: 18 / √2 can be written as 18√2 / 2 which simplified becomes 9√2.Answer: 9√2 cmDenise bought a t-shirt at the sale price of $25 the original cost of the T-shirt was $40 what percent represents the discount that Denise received when buying the T-shirt
Answer:
37.50%
Step-by-step explanation:
Use the formula: Old Value minus New Value (in absolute value bars) divided by Old Value times 100
New Value = $25 / Old Value = $40
$40 - $25 = $15
$15 divided by $40 is 0.375
0.375 times 100 (0.375 x 100) is 37.50
Which equation is graphed here
A) y=2x+3
B) y=2x-3
C) y=3x+2
D) y=3x-2
Answer:
C) y=3x+2
Step-by-step explanation:
Looking at the graph, we can see the y intercept is at 2.
All of the answers are in the form y = mx +b
where b is the y intercept
y = mx+2
The only answer that has the y intercept of 2 is y = 3x+2
What is the fraction in simplest form?
4/16
A.2/4
B.1/4
C.2/16
D.2/8
Answer: B) 1/4
The greatest common factor of 4 and 16 is 4. This is the largest factor that goes into both numerator and denominator
Divide the numerator and denominator by the GCF
4/4 = 1
16/4 = 4
This means 4/16 reduces to 1/4
Thinking in reverse, you can multiply top and bottom of 1/4 by 4 to get 4/16.
find the piont on the graph of 3x-4y=9 where the y- coordinate is 3 times the x-coordinate
y-coordinate is 3 times the x-coordinate → y = 3x
Substitute to the equation 3x - 4y = 9:
3x - 4(3x) = 9
3x - 12x = 9
-9x = 9 divide both sides by (-9)
x = -1
y = 3(-1)
y = -3
Answer: (-1, -3).The point of x and y-coordinate after solving the equation is (-1, -3).
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given equation in the question,
3x - 4y = 9 (i)
It is given that y is three times the x-coordinate,
y = 3x
Substitute it in equation (i)
3x - 4(3x) = 9
3x - 12x = 9
-9x = 9
x = -1
Substitute x = -1 in equation (i)
3(-1) - 4y = 9
-4y = 12
y = -3
Therefore, the point is (-1, -3).
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Find two numbers such that one exceeds the other by 11 and their sum is 73.
Answer: 31 & 42
Step-by-step explanation:
1st #: x
2nd #: x + 11
1st# + 2nd# = sum
x + x + 11 = 73
2x + 11 = 73
2x = 62
x = 31
2nd #: x + 11 = 31 + 11 = 42
The problem is solved by creating two equations from the given conditions and then solving them to find the numbers. The result is that the two numbers are 31 and 42.
Explanation:We are looking for two numbers, let's call them x and y. According to the problem, one number exceeds the other by 11, so we can say that y = x + 11. Moreover, their sum is 73, so x + y = 73.
Now, we need to substitute y from the first equation into the second one. So x + (x + 11) = 73, which simplifies to 2x + 11 = 73. Subtracting 11 from both sides gives us 2x = 62. Dividing by 2, we find that x = 31. From the first equation, we can now determine the value for y as y = 31 + 11 = 42. Therefore, the two numbers are 31 and 42.
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Emma buys and sells truck parts. She bought two tires for $35.00 each and later sold them for $65.00 each. She bought three rims for $75.00 each and later sold them for $136.00 each. She bought five headlight covers for $4.00 each and later sold them for $15.00 each. What is Emma's total profi?
Answer:
two tires for $35 -------------------------$70 total
three rims for $75--------------------------- $225
five headlights for $ 4.00 ----------------$20
Emma spends ($225+$70+$20) =$315
Now Emma sells them for 2 tires for $65 =130
3 rims for $136 = $408
5 headlights for $15 = $75
total money Emma makes = $613.
the profit is $613- $315= $298
the profit is $298
May someone help it is just some quick math problems
Question 1 Answer: 1cm= 3 feet. I say this because if there is 5 cm on the blueprint, you can do 3 feet for every cm and get 15 feet.
Question 2 Answer: 1 in=1.5 feet. 6÷4= 1.5 therefore the scale factor is 1.5
I can't quite see the other answers if you could zoom in i could answer those as well.
If f(x)=2x2-5and g(h)=3x+3 find f-g (x)
Answer:
2x² - 3x - 8
Step-by-step explanation:
note that (f - g )(x) = f(x) - g(x)
= 2x² - 5 - (3x + 3) = 2x² - 5 - 3x - 3 = 2x² - 3x - 8
Which of the following CANNOT be the length of AC?
now, if you took a look at that link above, let's see.
if we take AB and BC and lie them flat, by opening up the vertex at B, the longest that'd give us is 12+14 = 26, so AC can be at most LESS than 26 units, because if it's 26, then we end up with a flat-line and lose the triangle, so 25 or less is fine for AC.
can it be 30? well, how the dickens are AB + BC going to give 30 or more than 30 really? nope, not quite, it can't be.
Each day a company use 1/5 of a box of paper how many boxes would they have used after four days
Answer:0.8 or 4/5
Step-by-step explanation:1/5 x 4 = 4/5
And to check your work
4/5 / 4 = 1/5
Answer: 4/5
Step-by-step explanation: First you have to set up a multiplacation problem.
1/5 x 4 or 1/5 x 4/1 = 4/5
Whats is the mean in -10 + -10 + 6 + 5 + -1 + -1 ???? PLZ HELP
find slope for 7x-2y=0.2
[tex]7x - 2y = 0.2[/tex]
Answer:
slope = -7/2
Step-by-step explanation:
To find the slope, we will solve the equation for y.
7x-2y=0.2
Subtract 7x from each side.
7x-7x-2y=-7x+0.2
-2y = -7x+0.2
Then we need to divide each side by -2
-2y/-2 = -7x/-2 + 0.2/-2
y = -7/2 x -0.1
This is in the form y= mx+b where m is the slope and b is the y intercept.
So the slope is -7/2 and the y intercept is -0.1
I need to figure out how to start this-please help!
Answer:
1.) y = -4x + 10
2.) y = 3x - 7
Step-by-step explanation:
Since they're asking for slope-intercept form we must make our equation look like this:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
1.) [tex]4x+y=10[/tex]
[tex]4x+y=10\\\\4x-4x+y=-4x+10\\\\y=-4x+10[/tex]
Note that we just need to subtract 4x on both sides. In this case the slope is -4 and the y-intercept is 10.
2.)
[tex]3x-y=7\\\\3x-3x-y=-3x+7\\\\\frac{-y}{-1}=\frac{-3x+7}{-1}\\\\y=3x-7[/tex]
Note that we subtracted 3x on both sides then divided by -1 to get rid of the negative y. In this case our slope is 3 and our y-intercept is -7
what’s the best answer
Answer:
A
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles from 180
x = 180° - (90 + 16)° = 180° - 106° = 74° → A
Answer:
74°Step-by-step explanation:
the sum of the interior angles of a triangle is 180°, you have a 90° angle and a 16° angle, take away the know angles from 180°
180 - 90 - 16 =
74°
----------------
check
90 + 16 + 74 = 180°
the answer is good
HELP!! 30 POINTS AND WILL MARK BRAINLIEST One month, Henry's grandfather gives him a box of 523 baseball cards. Each month, starting the second month, Henry buys 24 baseball cards to add to this collection. What is the explicit rule for the number of baseball cards Henry has in his collection after n months? Enter your answer in the box.
Answer:
nth term = 523 + 24(n - 1
Step-by-step explanation:
This is modelled by an arithmetic series where first term a1 = 523 and common difference d = 24.
nth term = a1 + d(n - 1).
Here it is 523 + 24(n - 1) (answer)
Answer:
The answer is:24n+499
Step-by-step explanation:
As we know Henry's grandfather gave him a box of 523 baseball cards in the first month.
from the second month Henry start to collect 24 baseball cards each month.
if the total process took n months, so Henry himself collected 24 baseball cards for 'n-1' months.
so total cards collected by Henry in (n-1) months is=24(n-1)
hence, Henry's total collection is=number of baseball cards his grandfather gave him+number of baseball cards collected by Henry himself
=523+24(n-1)
=523+24n-24
=24n+499
Sam used
6
6 loaves of elf bread on an
8
8 day hiking trip. He wants to know how many loaves of elf bread
(
b
)
(b) he should pack for a
1
2
12 day hiking trip if he eats the same amount of bread each day.
How many loaves of elf bread should Sam pack for a
1
2
12 day trip?
Answer:
your question does not make any sense.
Step-by-step explanation:
you are paid $47.25 for working 7 hours how much are you paid per hour
Answer:
6.75
Step-by-step explanation:
1. You want to divide 47.25 by 7 because then you can see how much money you earned in one hour.
Answer: $6.75
Step-by-step explanation: In order to find per hour, you multiply 47.25 and 7 and get a answer of 6.75
Leila has scored 33, 28, 24 and points in her three basketball games so far. How many points does she need to score in her next game so that her average (mean) is 27 points per game?
Leila needs to score 23 points in her next game to have an average of 27 points per game.
Explanation:
To find out how many points Leila needs to score in her next game in order to have an average of 27 points per game, we need to use the formula for finding an average. The sum of all the points scored is 33 + 28 + 24 + x (the points in the next game), and we divide this sum by the number of games, which is 4. So, the equation is (33 + 28 + 24 + x) / 4 = 27. To solve for x, we multiply both sides of the equation by 4 to get 33 + 28 + 24 + x = 27 * 4. Simplifying this gives us 85 + x = 108. To isolate x, we subtract 85 from both sides of the equation, which gives us x = 108 - 85. So, Leila needs to score 23 points in her next game to have an average of 27 points per game.
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Please help supply the missing reasons
Answer:
ASA congruence and CPCT property
Step-by-step explanation:
There are two triangles PRQ and SRT given
In these two triangles we have
QR=TR, Angle Q = angle T and angle PRQ = Angle SRT
i.e. two angles and corresponding side are congruent.
Hence by ASA congruence for triangles the two triangles
PRQ and SRT are congruent
By CPCT property for congruent triangles,
we have corresponding sides are equal.
Hence PR = SR
Proved.
This is super easy: Write an expression for 6 times more than twice a number decreased by 7 all split into 4.
Answer:
(6+2n-7)÷4
Step-by-step explanation:
Which equations have infinitely many solutions?
If the sides of a triangle MNP are MN= 4x+9, NP= x+5, MP= 7x-20, find the range of possible values for x. Please show steps!
Answer:
[tex]6<x<8.[/tex]
Step-by-step explanation:
The sides MN, NP and MP of the triangle MNP should satisfy inequalities:
[tex]MN+NP>MP;[/tex][tex]MN+MP>NP;[/tex][tex]NP+MP>MN.[/tex]Then
[tex]\left\{\begin{array}{l}4x+9+x+5>7x-20\\4x+9+7x-20>x+5\\x+5+7x-20>4x+9\end{array}\right..[/tex]
Simplify this system:
[tex]\left\{\begin{array}{l}4x+x-7x>-9-5-20\\4x+7x-x>20-9+5\\x+7x-4x>20-5+9\end{array}\right.\Rightarrow \left\{\begin{array}{l}-2x>-16\\10x>16\\4x>24\end{array}\right.\Rightarrow \left\{\begin{array}{l}x<8\\x>1.6\\x>6\end{array}\right..[/tex]
Thus, the range of possible values for x is [tex]6<x<8.[/tex]
The question, from high school Mathematics related to geometry and algebra, asks to find the possible values for x using the triangle inequality theorem. These inequalities when solved gives the required range for x.
Explanation:The subject of this question is Mathematics, specifically pertaining to geometry and algebra. This question asks to find the range of possible values for x given that the sides of triangle MNP are MN= 4x+9, NP= x+5, MP= 7x-20.
Firstly, we utilize the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. With this theorem, we can set up three inequalities:
4x+9 + x+5 > 7x-20 4x+9 + 7x-20 > x+5 x+5 + 7x-20 > 4x+9
Solving these inequalities will provide the range of possible values for x.
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PLEASE HELP ME QUICK what is the simplified form of x+9/x+1 + x-2/5?
Answer:
A
Step-by-step explanation:
C and D are both wrong for the same reason. The denominator should be (x +1)*5 which means that either A or B is correct.
C and D have an error seldom seen on Brainly. It means that the denominator has been added rather than multiplied but even the addition is a little strange. Frankly, I don't know what has to be done to get either of them.
So the answer is
numerator: 5*(x + 9) + (x + 1)(x - 2)
denominator: 5*(x + 1)
Simplify the numerator. Remove the brackets.
numerator: 5x + 45 + x^2 - 2x + x - 2 Gather like terms
numerator: x^2 + 5x - 2x + x + 43 Simplify
numerator: x^2 + 4x + 43
Answer
x^2 + 4x + 43
==========
5(x + 1)
The double number line shows that Jonah needs 28 seconds to fold 2 shirts. Based on the ratio shown in the double number line, how long does Jonah need to fold 5 shirts?
Answer:
70 seconds
Step-by-step explanation:
Answer:
70 seconds
Step-by-step explanation:
Break apart the array to show 8×6=(4×6)+(4×6)
Answer:
Step-by-step explanation:
8x6= (4x6)+(4x6)
48=24+24
48=48
Answer:
[tex]6\cdot{(4+4)}=6\cdot{8}[/tex]
Step-by-step explanation:
We can break apart he arrau as follows:
We can take a common number from (4x6)+(4x6). The common term is 4 and 6. We can take 6 out:
[tex](4\cdot{6})+(4\cdot{6})=6\cdot{(4+4)}=6\cdot{8}[/tex]
Which equals 8x6
Determine the slope of the line J(0,0) K(-2,8)
Answer:
slope is -4 or in a fraction, -4/1
Step-by-step explanation:
When you have 2 points, you can find the slope by subtracting them by each other. You must do 8 - 0 which is 8, then -2 - 0 which is -2. Then you get 8/-2. Once simplified, you get -4, and you know if the number is alone, there is always a 1 under it so you get -4/1.
Hello!
Step-by-step explanation:
[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
[tex]\frac{8-0}{(-2)-0}=\frac{8}{-2}=-4[/tex]
Slope is -4
Final answer is -4
*The answer must have a negative sign.*
I hope this helps you!
Have a nice day! :)
-Charlie
:D
What is the next term in this arithmetic sequence?
11, 8, 5, 2, ...
-6
-3
5
-1
Answer:
-1
Step-by-step explanation:
11 minus 3 is 8
8 minus 3 is 5
5 minus 3 is 2
2 minus 3 is -1