Answer:
n = 16, AC = 60, DE = 30
Step-by-step explanation:
DE joins the midpoints of 2 sides of the triangle and is half the length of the third side, that is
DE = [tex]\frac{1}{2}[/tex] AC , substitute values
n + 14 = [tex]\frac{1}{2}[/tex] (3n + 12) ← multiply both sides by 2 to clear the fraction
2n + 28 = 3n + 12 ( subtract 2n from both sides )
28 = n + 12 ( subtract 12 from both sides )
16 = n
Then
AC = 3n + 12 = 3(16) + 12 = 48 + 12 = 60
DE = n + 14 = 16 + 14 = 30
You would like to start your own business in Hempstead. You borrow
$10,000 form the bank at a 9% rate for 5 years. How much interest
will you pay on this loan?
Answer:
$ 4,500.00
Step-by-step explanation:
I = $ 4,500.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 9%/100 = 0.09 per year,
then, solving our equation
I = 10000 × 0.09 × 5 = 4500
I = $ 4,500.00
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 9% per year
for 5 years is $ 4,500.00.
Solve for all values of c in simplest form.
|4-c| = 7
Answer:
Step-by-step explanation:
|4-c| = 7
4-c = ±7
c = 4 ∓ 7 = -3, 11
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
Answer:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
These both answers are correct.
Step-by-step explanation:
Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.
If x is the food bill our equation can be:
(x+16)/8 = 76/8
(x+16)/8 = 9.5
x+16= 9.5*8
x= 76 -16
x= 60
The food bill is x=60.
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
got it right on ed
Write three hundred eighty-seven thousandths as a decimal number.
Answer:
0.387
Step-by-step explanation:
Answer:
The answer would be 0.387
Someone please help me with this I’m on the verge of crying
Answer:
848.23
Step-by-step explanation:
hope this got you the right anwser
Points a and b both lie on the line y=3x+7. Work out the missing y coordinate for a and the missing x coordinate for B?
Answer:
y coordinate = 13
x coordinate = -1
Step-by-step explanation:
Trail and error lol
The missing [x] - coordinate of point A is -2 and point B is -1.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the equation of line as -
y = 3x + 7
Refer to the graph attached of the equation -
y = 3x + 7.
Since, the graph is not given we will mark two random points on it. It can be seen that the missing [x] - coordinate of point A is -2 and point B is -1.
Therefore, the missing [x] - coordinate of point A is -2 and point B is -1.
To solve more questions on straight lines, visit the link below-
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Which of the following is true?
A. The mean is the least
B. The median is the least
C. The mode is the least
D. The mean, median, and mode are equal
Solve for the quotient 8498 / 70
Answer:
121.4 is the answer ❣️
Answer:
The answer I got is 121.4
Dale plows his field at a constant rate of 18 mph. If Dale plows for 6 hours, how many miles of his field did he cover? A. 3 mi. B. 18 mi. C. 68 mi. D. 108 mi.
Answer:
108
Step-by-step explanation:
If Dale has a constant rate that means no matter how many hours, every hour he mows he will mow 18 miles. He mowed for 6 hours, so all you have to do is multiply 6*18, and your answer is 108 miles.
Answer:
a
Step-by-step explanation:
18 divded by 6 is 3
what is 4x-7y=3
x-7y=-15
Answer:
0 i think if im wrong im sorry
Step-by-step explanation:
Answer:
The answer is x=6, y=3
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of y opposite(−1)⋅(4x−7y)=(−1)(3)x−7y=−15
Simplify.
−4x+7y=−3x−7y=−15
Add the two equations together to eliminate y from the system.−4x+7y=−3+x−7y=−15−3x=−18
Divide each term by −3 and simplify.
x = 6
Substitute the value found for x into one of the original equations, then solve for y.
y = 3
The solution to the independent system of equations can be represented as a point.(6,3)
The result can be shown in multiple forms.
Point Form: (6,3)
Equation Form: x=6, y=3
How many 0.8 liter glasses can be filled by a 6.8 liter pitcher?
Answer:
8.5 glasses
Step-by-step explanation:
6.8L / 0.8L = 8.5 glasses
Answer:
8 glasses
Step-by-step explanation:
You divide [tex]6.8/0.8[/tex]
This gives you 8.5 glasses
since 9 glasses is too much, at 7.2 liters. The maximum glasses possible is 8 assuming you're not filling a half of the glass which would be 8.5 glasses.
Find the values of x and y that make the quadrilateral a parallelogram.
The values of x and y that make the quadrilateral a parallelogram are x=3 and y=1.
What is parallelogram and its properties?A parallelogram is a four-sided flat shape with opposite sides that are parallel and equal in length.
Properties are:-
Opposite sides if parallelogram are equal.
The consecutive angles of a parallelogram are supplementary (their sum is 180 degrees).
The diagonals of a parallelogram bisect each other (they intersect at their midpoint).
The slope of the line between the points (4x+6, 4y-3) and (7x-3, 3y+1) is:
slope = (3y+1 - 4y+3) / (7x-3 - 4x-6)
= (-y + 4) / (3x-9)
The slope of the line between the points (7x-3, 3y+1) and (3y+1, 4y-3) is:
slope = (4y-3 - 3y-1) / (3y+1 - 7x+3)
= (y-4) / (7x-3 - 3y-1)
= (y-4) / (7x-3 - 3y-1)
Setting these two slopes equal to each other, we have:
(-y + 4) / (3x-9) = (y-4) / (7x-3 - 3y-1)
Simplifying this equation, we get:
(7x-3 - 3y-1)(-y+4) = (3x-9)(y-4)
-7xy + 28x + 3y^2 - 13y - 7 = 3xy - 12x - 9y + 36
Rearranging and simplifying, we get:
3x + 2y = 11 ... (1)
Similarly, we can find the slope of the line between the points (4x+6, 4y-3) and (3y+1, 4y-3) and the slope of the line between the points (7x-3, 3y+1) and (4x+6, 4y-3) and set them equal to each other. We get another equation:
4x - 3y = 9 ... (2)
We now have two equations with two variables. Solving for x and y, we get:
x = 3
y = 1
To know more about equation visit:
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A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75%
per year. What will the value of the car be, to the nearest cent, after 11 years?
Answer:
The value of the car will be
4450.15
Step-by-step explanation:
we know that
11.75%=11.75/100=0.1175
so Let
x-----> the value of the car after 11 years
X=17600(1-0.1175)11=4450.15
Step-by-step explanation:
1. In a karate class there are 22 students. 15 of the students are male. What 6 is the ratio of females to the total number of students?
22:15
15:22
7:22
7:15
Answer:
15:22
the ratio of men to women in a karate class is 3.3:1. If there are 100 women, how many men are there?Step-by-step explanation:
الأولى متوسط
و کدد
الدعبدالحان وظيفة حزلتةر 09
جیره تازمالت
في الرامام
ستم بدم / رود
للمرة الأول: نظمت مؤسسة تربو برحلة لاگده
64 ) البد قسوا على انتاج بحیک دمكم كل وين ما
ه ماهو التلافي النجم الأفواج التي تحصل عليها؟
) هل يوجد في عدد تلامده اوى و
با ماء الرحلة توقفوا لشاور وحد القاء حبه نیم
الحبة الواحدة DA
3615
ماهو الميل الكلية التي دفع كل التلامية ؟
از اعلم ان الكلامير الظلموا من هددي تامالت
على الساعة min
50 اة ووصلوا إلى مدينة جاية لياخوران
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) ماهي الدا الي استرتها التلامير الوصول إلى
رد لة نداره ؟
3
1ho 5 min å hull the
Answer:
you said This first is the average, and Abd al-Dahan stressed the job of his party, 09 Jira Tazmalt in Al-Ram, in Dam / Rud, for the first time: The Turbo Foundation organized a trip to Jeddah 64) The Bedouin was cruel to the production of your blood every way
Step-by-step explanation:
thank for the info
prime factorisation of 27,45 and 54
Answer:
27= [tex]3\sqrt{3}[/tex] (3 x 3 x 3)
45= [tex]3\sqrt{5}[/tex] (3 x 3 x 5)
54= [tex]3\sqrt{6}[/tex] (3 x 3 x 3 x 2)
Step-by-step explanation:
Answer:
We found the factors and prime factorization of 27 and 45. The biggest common factor number is the GCF number. So the greatest common factor 27 and 45 is 9.
Layla earned an 80% on a recent math
quiz. She scored 16 points. How many
total points were there on the quiz?
I think it might be 20???
Can someone explain me how to do this? No answers, just explanation how to solve. Click on the picture to see the question.
Answer:
800 cm
Step-by-step explanation:
x = height of lamp post
set up a proportion:
90/160 = 450/x
cross-multiply:
90x = 72000
x = 800
Answer:
Since you did not want the answer the things you need to solve this question are below.
Step-by-step explanation:
In order to solve this, you will need to read about the scale factor. Here is a picture telling about it briefly.
Pllssss helppppp thank u
Which one of the following fractions is the largest?
5/6 1/3 3/2 5/2
Answer:
5/2
Step-by-step explanation:
Answer:
5/2 is the largest fraction.
Step-by-step explanation:
To find the largest fraction, we can convert some using the LCD (least common denominator)
Keep 5/6 as is.
1/3 = 2/6
3/2 = 9/6
5/2 = 15/6
So, 5/2 is the largest fraction.
Question please answer thanks if you do
Answer:
Radius = 6 ft
Diameter = 12 ft
Circumference = 37.7 ft
Step-by-step explanation:
The radius of the circle is the measurement from the center of the circle to the edge. The diagram gives us the radius, 6 ft.
Radius = 6 ft
The diameter of the circle is the measurement from the edge of the circle through the center, extending back to the edge. The diameter is equal to double the radius.
6*2=12
Diameter = 12 ft
The circumference of the circle is the distance around its edge or the perimeter of the circle. We use the below equation to solve for it:
[tex]C=\pi d[/tex] where [tex]d[/tex] is the diameter
Plug the diameter (12) into the equation
[tex]C=\pi (12)\\C=37.7[/tex]
(This answer is approximate)
Circumference = 37.7 ft
I hope this helps!
Write an algebraic expression for the verbal expression
the quotient for 45 and r
Answer:
45/r
Step-by-step explanation:
You're just doing 45 divided by r.
The triangles are congruent by
1. AAS
2. ASA
3. SSS
Answer:
the triangles are congruent by ASA.
PLEASE HELP ASAP THIS IS MY LAST QUESTION
Malala is following this recipe for bread rolls.
She uses 200 g of flour.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
500 g flour
10 g salt
8 g yeast
30 mL oil
350 mL water
Answer:
She will use:
4g salt
3.2g yeast
12 ml oil
140 ml water
Step-by-step explanation:
Since 200 is 40% of 500 we calculate 40% of all the other ingredients and you get your answer
a 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach
Answer:
8.06 feet
Step-by-step explanation:
use the Pythagorean theorem
9^2 = 4^2 + x^2
81 =16 +x^2
x^2 = 65
x = 8.06 feet
help me out I will gave points
Answer:
c
Step-by-step explanation:
what is the degree of the function f(x)=x⁴-5x+8+x²?
First put it in decreasing power according to x.
x^4-5x+8+x^2
=x^4+x^2-5x+8
Now this question is asking what is the highest degree of x you see in this function.
4 of course.
Therefore the answer to his question is degree of 4.
Done!
Find (fxg)(a)?thanks !!
Answer:
12a^2+13a+3
explanation:
multiply:
(3a+1)(4a+3)=(fxg)
12a^2+13a+3
Write the equation in vertex farm
x2 - 8x + 10 = 0
Answer:
x = 4 + √ 6 , 4 − √ 6 hope this is correct-