Answer:
60% in a fraction is: 60/100
60/100 of a variable, x, is equal to 90.
So we format it this way and solve for x;
60/100 * x = 90
60/100x = 90
0.6x = 90
/0.6 /0.6
x = 150, is the number.
In the diagram below, which description is correct?
A ZEBC is an acute angle
B ZDBF is an obtuse angle
C FBD is a right angle
D ZABE is a straight angle
Answer:
c. fbd is right angle
Step-by-step explanation:
fbd=fbe+ebd=65+25=90= right angle
therefore ans is c
the ages of a father and his son are in the ratio 10:3. if the son is 15 years now, how many years will the ratio of their ages be 2:1?
Answer:
20 years
Step-by-step explanation:
let the present age of father=x
[tex]\frac{x}{15} =\frac{10}{3} \\x=\frac{10}{3} \times 15=50 \\[/tex]
present age of father=50 years
let after y years ages are in the ratio 2:1
[tex]\frac{50+y}{15+y} =\frac{2}{1}[/tex]
50+y=2(15+y)
50+y=30+2y
50-30=2y-y
20=y
Find the measure of both ABD and DBC
Write the exponential function for the graph that passes through the points (0,128) and (5,371,293). Show all work
(Hint: You may round your value for b to the ten-thousandths place.)
PLEASE HELP ILL MARK BRAINLIEST
Answer:
y = 128(4.926)^x
Step-by-step explanation:
Exponential function: y = ab^x
x = 0, y = 128
128 = ab^0
128 = a
--------------------
a = 128, y = 371,293, x = 5
371,293 = 128 x b^5
b^5 = ( 371,293 / 128 )
b = (fifth root) 5^√2900.7265625
b ≈ 4.926
----------------------------------------
y = 128(4.926)^x
I hope this helps!
there is 1 more after this , I'm so sorry. please help :)
Answer:
-46
Step-by-step explanation:
check the picture sent above.
Answer:
[tex]\huge\boxed{\boxed{-46}}[/tex]
Step-by-step explanation:
Hello.
In order to solve this, we need to plug in the values of the variables:
p(-4)³+2(9)
(-4)³ is equal to -64, and 2 times 9 is 18:
-64+18
Add:
-46
And we're done!
I hope it helps & have an outstanding day! :)
~ST2710 :)
can 9 x + 6x be simplified
Answer:
=15x
Step-by-step explanation:
A gas company charges $0.4544 for each therm used. A home used 39.3 therms in a month. How much will the gas company charge that month?
Answer:
$17.85792
Step-by-step explanation:
$0.4544 x 39.3 = $17.85792
okooooooooooooooooooooooooooooooo
Answer:
-x(x+2)(x-4)
not sure what answer choice it is
helppppppppppppppppp
Answer:
Step-by-step explanation:
Triangle inequality theorem: for any given triangle, the sum of two sides of a triangle is always greater than the third side.
side 1 ----Your position-library
side 2----- library-principal
side 3---- your position -library
The sum of 1+2 is greater than 3
The diameter of a circle is 4 yards.
What is the circle's circumference
d = 4yd
use 3.14 for Pi
Answer:
12.56 yards
Step-by-step explanation:
circumference = π x diameter
4 x 3.14 = 12.56
Answer:
12.56
Step-by-step explanation:
Can somebody help me out and show me what the answer is
Answer: h(-3) = -38
Step-by-step explanation:
x(-3)^2 = 9
2(-3) = -6
h(-3) = -2(9 - -6 + 4)
h(-3) = -2(19)
h(-3) = -38
pirates 1.05 * 2.8 by calculating 105 * 28 then moving to decimal 3 places to the left Why does Priya method make sense
Answer:
That is correct!
Step-by-step explanation:
The answer to 1.05 x 2.8=2.94
Priya's method makes sense because it also equals 2.94 in the end.
:)
Find the root of the equation. 9x^2-1-(3x-2)^2=0
Answer: 5/12
Step-by-step explanation:
please help me with this question
Answer:
Parallel line: [tex]y=4x+33[/tex]
Perpendicular line: y = [tex]\frac{-1}{4}x-1[/tex]
Step-by-step explanation:
From the given equation [tex]y=4x-2[/tex], the number multiplied by [tex]x[/tex] is the slope of that equation, so the slope is 4 in this case.
Let's use the point slope form in this question:
[tex]{y-y__1}=m({x-x__1})[/tex]
where [tex]{x__1}[/tex] and [tex]y__1[/tex] are the given points in your question:
[tex]{x__1}=-8[/tex]
[tex]{y__1} = 1[/tex]
and m is the slope.
Parallel line:
Since parallel means the same slope as the given equation, we put [tex]m = 4[/tex] first.
[tex]{y-1}=4({x-(-8)})[/tex]
[tex]y=4x+33[/tex]
This is the equation that is parallel to [tex]y=4x-2[/tex] and also passes through [tex](-8,1)[/tex].
Perpendicular line:
Since perpendicular means exactly 90° with the given equation, multiplying their slopes and the product will always be [tex]-1[/tex].
Let's find m first,
[tex]4* m = -1[/tex]
[tex]m = \frac{-1}{4}[/tex]
Now using the same point slope form with the same [tex]x__1[/tex] and [tex]y__1[/tex]:
[tex]{y-y__1}=m({x-x__1})[/tex]
[tex]{y-1}=\frac{-1}{4} ({x-(-8)})[/tex]
[tex]y=\frac{-1}{4}x-1[/tex]
This is the equation that is perpendicular to [tex]y=4x-2[/tex] and also passes through [tex](-8,1)[/tex].
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. 3x - 4y - 5z = -27 5x + 2y – 2z = 11 5x - 4y + 4z = -7 (1,5, 51 b. (10, 5, 51 ) .. ( 10, 51, 23) d. (1,5, 2)
Answer:
D. (1, 5, 2)
Step-by-step explanation:
Substitute all numbers into the variables
Brainliest if correct
Answer:
[tex]\frac{3}{4} -\frac{1}{10} =\frac{15}{20} - \frac{2}{20} =\frac{13}{20}[/tex]
so hence, Your answer is 13/20
And the rest blanks are also included in this!
Thanks!
use co-function and expansion of cos[(90-a)- B] to show that: sin(a+b) = sinacosb +sinbcosa
Step-by-step explanation:
[tex] \cos((90 - a) - b) = \cos(90 - a) \cos(b) + \sin(90 - a) \sin(b) [/tex]
[tex] \sin(a) \cos(b) + \cos(a) \sin(b) [/tex]
Please Answer ASAP
Mrs. Galicia gave her sisters $3000 each to invest. The investment will last 8 years. The table shows what each sister did with their investment and how it changed over 8 years. Use the chart to answer the following questions please
1. What is the balance of Michelle's $3000 after 8 years?
2. What is the balance of Kristen's $3000 after 8 years?
3. What is the balance of Gabriella's $3000 after 8 years?
4. What is the balance of Judy's $3000 after 8 years?
5. Who has the most money at the end of the 8 years? If i were to choose one of the options to use for my own money, which option should I choose?
Michelle's balance after 8 years is $10,790.48.
Kristen's balance after 8 years is $3,770.55.
Gabriella's balance after 8 years is $24,780.42.
Judy's balance after 8 years is $3618.62.
The person with the most money at the end of the 8 years is Gabriella. If I were to choose one of the options, I would choose Gabriella's option
What is Michelle's balance after 8 years?The formula that can be used to determine the future value of an amount with compounding is:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = interest rate / number of compoundingm = number of compoundingN = number of yearsFuture value with monthly compounding = $2000 x ( 1 + 0.035/12)^(12 x 8) = $2645.18
Future value with continuous compounding = : A x e^r x N
A= amount e = 2.7182818 N = number of years r = interest rate1000 x e^0.018 x 8 = $8,145.30
Total = $8,145.30 + $2645.18 = $10,790.48
What is Kristen's balance after 8 years?Future value with quarterly compounding = 2500 x (1 + 0.012 / 4)^(4 x 8) = $2,751.50
Future value with quarterly compounding = 500 (1 .0225)^(8x4) = $1019.05
Total = $3,770.55
What is Gabriella's balance after 8 years?$3000 x e^0.032 x 8 = $24,780.42
What is Judy's balance after 8 years?Future value with exponential increase = 1050 x (1.015)^8 = $1,182.82
Future value with biannual compounding = 1950 x (1 + 0.028/2)^(8 x 2) = $2435.80
Total = $3618.62
To learn more about future value, please check: https://brainly.com/question/18760477
Enter segments in the blanks provided that would result in a true equation
JK
1
Submit Answer
IK
attempts out of 2
The true equation for this situation is given as JK/IK = MK/LK
What are similar figures?
Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Both triangles IJK and triangle KLM are similar triangles. Hence:
JK/IK = MK/LK
The true equation for this situation is given as JK/IK = MK/LK
Find out more on similar figures at: https://brainly.com/question/14285697
9. y + 7 = 2x
2y = 4x - 14
Solve each system of equations by substitution
Same just hired a new employee to work in your bakeshop. In one hour, the employee burned 55 chocolate chip cookies. If this represented 15% of the day’s production, how many cookies did you plan on producing that day?
Answer:
366.6
Step-by-step explanation:
55 divided by 15=36.6
Then you multiply it by 100 which equals 366.6
4 packs of sugar cost at 796 centre calculate how much 7 packet of sugar will cost
7 packs will cost 1393
Step-by-step explanation:
one pack cost 199.now 199 × 7 =1393
Tina plans on going bowling this weekend, and there are two bowling alleys in her town. The Bowling Pin charges $5 for shoe rental and $3.50 per game. The Alley Way charges $3 for shoe rental and $4 per game. Write an inequality to show when The Bowling Pin is the best deal for Tina.
A) 5 + 3.5x < 3 + 4x
B) 5 + 3.5x > 3 + 4x
C) 5x + 3.5 < 3x + 4
D) 5x + 3.5 > 3x + 4
Answer:
B
Step-by-step explanation:
the options A and B are the ones that make sense
to get rid of one of the options, you have to substitute.
lets try 6
5+ 3.5(6)= 5+21= 26
3+ 4(6)= 3+24 = 27
in that example, the Bowling Pin is the best deal for Tina
Help me please!!!!!!!
1. ⬛⬜⬜⬜
⬛⬛⬛⬜
2. I would need more information on this problem to help you. Sorry :((
3. Right Triangle is correct.
4. g = 33 - 8 - 9
g = 25 - 9
g = 16
5. ⚫◐◯
Determine if true:
3x4x2^2=39
Answer:
False
Step-by-step explanation:
2^2=4
4x4=16
3x16=48
48=39
The numbers don't match.
Hence, the equation is false.
Answer: It is wrong when you multiply it it becomes 48 so it is false
Step-by-step explanation:
A plant is already 43 centimeters tall, and it will grow one centimeter every month.
Let H be the plant's height (in centimeters) after M months.
Write an equation relating H to M. Then use this equation to find the plant's height after 21 months.
Answer:
h=m+43, 66cm
Step-by-step explanation:
For each month, it grows by one centimeter, which is represented by 1m or just m. You also have to add the height it already has, which makes h=m+43. For 21 months, substitute 21 for m to get h=21+43 which simplifies into h=66 cm
helphelphelp!! pls tell me which is true or false in order <3
Answer:
true
false
true
Step-by-step explanation:
Hope this helps! Pwease mark me brainliest! Have a great day!
−xXheyoXx
PLEASE HELP ASAP!!!!!!!!!/$/!/!$!!!!!
Answer: Below
Step-by-step explanation:
General concept is that when you divide two fractions, the fraction becomes a reciprocal, and the division sign turns into multiplication. Using this handy cheat, we do:
-5 ÷ 2/7
-5 × 7/2
-35/2
This is our answer.
Solve these 2 Question. 50 Points + Brainelist
using simultaneous equation:
2x + 3y = 190
3x + y = 180 * 3
Then:
2x + 3y = 190
9x + 3y = 540
--------------------
-7x = -350
x = 50
Insert this in equation 1 to find value of y:
2x + 3y = 190
2(50) + 3y = 190
3y = 190 - 100
3y = 90
y = 30
expanding the following:
→ (x + 2)³
[tex]\sf apply \ cubic \ formula : \bold{\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3}[/tex]
[tex]\rightarrow \sf x^3+3x^2\cdot \:2+3x\cdot \:2^2+2^3[/tex]
[tex]\rightarrow \sf x^3+6x^2+12x+8[/tex]
Justify for x = 5
[tex]\rightarrow \sf (5)^3+6(5)^2+12(5)+8[/tex]
[tex]\rightarrow \sf 125+150+60+8[/tex]
[tex]\rightarrow \sf 343[/tex]
Answer:
(a) x=50 y=30Step-by-step explanation for (a):
First use system of equations. Isolate a variable and substitute.
2x + 3y = 190
3x + y = 180
Isolate
subtract 3x from both sides of the second equation
y = 180 - 3x
since 180 - 3x = y, you can substitute this into the first equation for y
Substitute
2x + 3y = 190
2x + 3(180 - 3x) = 190
Distribute the 3
2x + (540 - 9x) = 190
Solve for x
subtract 540 from both sides
2x - 9x = -350
simplify
-7x = -350
divide each side by -7
x = 50
But you still need to solve for y, so substitute the x back into the first equation.(But really you could use either equation)
2(50) + 3y = 190
subtract 100 (2 * 50) from both sides
3y = 90
y = 30
Check your work by resubstituting.
3(50) + 30 = 180.
(b) This one is weird.
(x + 2)^3 expands to (x + 2)(x + 2)(x + 2).(Remember, it is NOT (x^3 + 8), you don't "distribute" the exponent)
It then simplifies to x^3 + 6x^2 + 12x + 8, and x = 5 is NOT an answer here. Maybe there is something more that you might not have screenshotted?
*edit its not asking to prove x is a solution(which i thought lolllll) its asking to plug x = 5 into the equation*
Write the discriminant of quadratic equation ax2+bx+c=0
Hi!
In any quadratic in the form you have given ([tex]ax^2+bx+c=0[/tex]), the discriminant is ALWAYS
[tex]b^2-4ac[/tex]
Given the quadratic formula:
[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
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The discriminant would be the part of the equation that is under the square root.
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Therefore, your answer is [tex]b^2-4ac[/tex]