Answer:
a=5 or a=15, b=15 or b=5
Step-by-step explanation:
b=20-a
a(20-a)=75
20a-[tex]a^{2}[/tex] -75=0
-[tex]a^{2}[/tex]+20a-75=0
[tex]a^{2}[/tex]-20a+75=0
(a-5)(a-15)=0
a-5=0 or a-15=0
a=5 or a=15
b=15 or b=5
(:
Answer:
Step-by-step explanation:
a + b = 20
Sum of roots = 20
ab = 75
Product of roots = 75
x² - (a +b) x + ab = 0
x² - 20x + 75 = 0
Sum = coefficient of x = -20
Product = 75
Factors = 15 , 5 {15*5 = 75 & 15 +5 = 20}
x² - 15x - 5x + 75 = 0 {Rewrite the middle term}
x(x - 15) - 5(x - 15) = 0
(x - 15) (x - 5)=0
x - 15 = 0 ; x -5 = 0
x = 15 ; x = 5
a = 15 ; b= 5
the box plot represents the distribution of speeds, in miles per hour, of 100 cars as they pass thru
Which fraction is more than 1/2?
O 7/12
05/12
0 5/10
O 3/7
40 x 3 x 100 ? What is the product
Answer:
12,000
Step-by-step explanation:
40*3 = 120
120*100 = 12,000
Vijay bought a camera that was marked down 80% from an original price of $355. If he paid 4% sales tax what was the total cost of the camera?
The total cost of the camera is $73.84
Since Vijay bought a camera that was marked down 80% from the original price of $355, then the amount paid will be:
= $355 - (80% × $355)
= $355 - (0.8 × $355)
= $355 - $284
= $71
Since there is a 4% sales tax, then the total amount paid will be:
= $71 + (4% × $71)
= $71 + (0.04 × $71)
= $71 + $2.84
= $73.84
The total cost of the camera is $73.84
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Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify
The cube of the difference of a number and 4.
Answer:
The difference of a number and 4:
x - 4The cube of the difference:
(x - 4)³Leaving this as is since no simplification is required.
Step-by-step explanation:
[tex]here \: number = x \\ difrence \: of \: number \: and \: 4 \\then \: its \: x - 4 \\ cube \: of \: this = {(x - 4)}^{3} \\ thank \: you[/tex]
R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?
let the last number be x
we know,
[tex] \boxed{mean = \frac{sum \: \: of \: \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]
So,
[tex] \hookrightarrow \: 8 = \dfrac{22 + x}{4} [/tex]
[tex] \hookrightarrow \: 8 \times 4 = 22 + x[/tex]
[tex] \hookrightarrow \: 32 = 22 + x[/tex]
[tex] \hookrightarrow \: x = 32 - 22[/tex]
[tex] \hookrightarrow \: x = 10[/tex]
therefore, the last number is 10.
A car travelling at 30 km/h takes 6/5 hours to travel a certain distance. How many minutes less will the car take to cover the same distance if its speed is now 45 km/h?
[tex] \large \mathfrak{Solution : }[/tex]
Time taken when traveling at 30 km/h :
[tex] \dfrac{6}{5} \: \: hr[/tex][tex] \dfrac{6}{5} \times 60 \: min[/tex][tex]6 \times 12 \: min[/tex][tex]72 \: min[/tex]Distance travelled :
[tex]30 \times \dfrac{6}{5} [/tex][tex]6 \times 6[/tex][tex]36 \: km[/tex]now, if the speed is 44 km/h it will take :
[tex] \dfrac{36}{45} \: \: hr[/tex][tex] \dfrac{4}{5} \times 60 \: min[/tex][tex]48 \: min[/tex]The car will take 72 - 48 = 24 less minutes to cover same distance at an speed of 45 km/h .
Donovan is measuring the angles of a triangle. He uses the first two angles and gets 10° and 120° what should be the measurement of the third angle
Answer:
50°
Step-by-step explanation:
The sum of a triangles' angles is 180°
Now set up an equation:
180 - (10 + 120) = ___
180 - 130 = 50°
plz help me from d no no need to do a,b,c !!!!
Answer:
triangles unfold into a 180 degree angle so...
Step-by-step explanation:
Alright so the two dashes in a line means they are equivalent so if I only give one final answer use it for both...
D: 180-52=128 now divide by two since equal angles so 64 degrees for the angles
E: 180-90=90, 90/2 so 45 degrees for those angles
F: okay interesting 180-130= 50 degrees so that's the inside angle there for x and y so to find z its 180- 100 which is 80 x&y is 50 while z's 80
G: 180-36=144 divide that by two and viola 72 is the answer
H: the angle of 86 is correct since mirrored. so x is 86. now for the unlisted angle 180-124= 66 so to find y 86+66=152 so 180-152=28. So x=86 y=28 and the unlisted is 66.
(Sorry for my chaotic explanations but I saw the time crunch "!!!!")
Store employees are handing out coupons. Every 5th customer gets a free bagel coupon. Every 9th customer gets a free drink coupon. Which customer is the first to receive both coupons? the 30th customer the 45th customer the 60th customer the 90th customer
Step-by-step explanation:
hope you will understand ( ´ ▽ ` )ﾉ
Answer:
its 45 bc i searched up the answer and chose the other persons response and turns out its 45 not 60th
Step-by-step explanation:
Leyla rides her bike 81 miles each week. How many miles does she ride in 11 weeks
Answer:
891 miles
Step-by-step explanation:
You can either multply 81*11 or add 81 to itself 11 times
1 week: 81 miles
2 weeks: 81+81=162 miles
3 weeks: 162+81=243 miles
4 weeks: 243+81=324 miles
5 weeks: 324+81=405 miles
6 weeks: 405+81=486 miles
7 weeks: 486+81=567 miles
8 weeks: 567+81=648 miles
9 weeks: 648+81=729 miles
10 weeks: 729+81=810 miles
11 weeks: 810+81=891 miles
Three times a number w is less than 18. how would u type thi s
plzz help. what's the distance between 4.1 and -5.2 on a number line
Answer:
4.1 + 5.2 = 9.3
distance can never be negative
Step-by-step explanation:
need help on precalculus
Answer:
arc = 15π
Step-by-step explanation:
The arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{225}{360}[/tex] ( r is the radius )
given diameter = 24 then r = 24 ÷ 2 = 12
arc = 2π × 12 × [tex]\frac{5}{8}[/tex]
= 24π × [tex]\frac{5}{8}[/tex]
= 3π × 5
= 15π
Determine which of the following are functions. Select all that apply,
X
{(-4,2), (-2, 1), (1,3)
(-1,4), (0,5), (2,5)}
y 4.45X 9
-6
y
17
13
13
-2
D
Sicco
9
2.
6
oo
5
3
10
1
4
7
Intro
Done
Answer:
Try incerting a picture it might help me
Step-by-step explanation:
Answer:
a and d
Step-by-step explanation:
got it right.
Plz Help (ASAP) Thanks
Answer:
x^4 - 3x^2 + x^2 - 4
Step-by-step explanation:
hope it helps
Write an absolute value equation that has the solutions x= -10 and x = -5
Answer:
∣x + 7.5∣ = 2.5
Step-by-step explanation:
∣x + 7.5∣ = 2.5
x + 7.5 = -2.5 OR x + 7.5 = 2.5
-7.5 -7.5 -7.5 -7.5
-------------------- ----------------------
x = -10 x = -5
As you can see, the equation ∣x + 7.5∣ = 2.5, satisfies both of the x values, x=-10 and x=-5.
The absolute value equation that has solutions x= -10 and x = -5 is | x + 7.5 | = 2.5.
What is an absolute function ?Absolute value function is always positive |x| = a implies x = a Or - x = - a
According to the given question we have to write a equation we have to write an absolute value equation that has solution x = -10 and x = - 5.
Let the absolute value be ∣x + 7.5∣ = 2.5.
∴ x + 7.5 = 2.5 OR - ( x + 7.5 ) = 2.5
x + 7.5 = 2.5
x = 2.5 - 7.5
x = - 5.
OR
- ( x + 7.5 ) = 2.5
- x - 7.5 = 2.5
- x = 2.5 + 7.5
- x = 10
x = - 10.
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what's 4 divided by 5/7 as a mixed number in its simplest form
Answer:
8[tex]\frac{1}{7}[/tex] (in mixed fraction)
Step-by-step explanation:
4 ÷ [tex]\frac{5}{7}[/tex]
can also be written as
[tex]\frac{4}{1}[/tex] ÷ [tex]\frac{5}{7}[/tex]
[tex]\frac{4}{1}[/tex] ×[tex]\frac{7}{7}[/tex] [tex]\frac{5}{7}[/tex] × [tex]\frac{1}{1}[/tex] (to do the denominators same)
[tex]\frac{28}{7}[/tex] ÷ [tex]\frac{5}{7}[/tex]
= [tex]\frac{28/5}{7}[/tex]
= [tex]\frac{5.6}{7}[/tex]
= [tex]\frac{5.6}{7}[/tex] × [tex]\frac{10}{10}[/tex] (to remove the decimal point)
= [tex]\frac{56}{7}[/tex]
= 8[tex]\frac{1}{7}[/tex] (in mixed fraction)
−3,12,27, what is the answer
Answer:
The next term is 42
Step-by-step explanation:
Let's use Arithmetic Progression
a₁ = - 3
a₂ = 12
a₃ = 27
Now,
The Formula of Common Difference d is
d = a₂ - a₁
= 12 - (-3)
= 12 + 3
d = 15
d = a₃ - a₂
= 27 - 12
d = 15
Here, the common difference is same
aₙ = aₙ₋₁ + d
a₄ = a₄₋₁ + 15
a₄ = a₃ + 15
a₄ = 27 + 15
a₄ = 42
So, The next term is 42
-TheUnknownScientist
Which expression fits the description
Can't see full image
Answer:
28:12
Step-by-step explanation:
When we take 7 and 3 and multiply them both by 4 we get 28 and 12.
hope this helps!
State the domain and range and state if it is a function or not
0.4(5x-15)=2.5(x+3) what is the value of x?
[tex]0,4(5x-15)=2,5(x+3)\\\\2x-6=2,5x+7,5\\\\2x-2,5x=7,5+6\\\\-0,5x=13,5 \ \ /\cdot(-2)\\\\\huge\boxed{x=-27}[/tex]
Answer:
Answer:
x=−27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.4(5x−15)=2.5(x+3)
(0.4)(5x)+(0.4)(−15)=(2.5)(x)+(2.5)(3)(Distribute)
2x+−6=2.5x+7.5
2x−6=2.5x+7.5
Step 2: Subtract 2.5x from both sides.
2x−6−2.5x=2.5x+7.5−2.5x
−0.5x−6=7.5
Step 3: Add 6 to both sides.
−0.5x−6+6=7.5+6
−0.5x=13.5
Step 4: Divide both sides by -0.5.
−0.5x
−0.5
=
13.5
−0.5
x=−27
Answer:
x=−27
Josie left an $8.00 tip at the restaurant. How much was her total bill , is the tip was 20% of the total?
A $32
B $40
C $48
D $64
Answer:
c $48
Step-by-step explanation:
8 x 5 is 40 which is the price of the meal then plus the tip its 48
Please help me fast this question
Answer:
64÷16+[12x{16÷(16-10)}]
64÷16+[12x{16÷6}]
64÷16+[12x2.66666666667]
64÷16+32
4+32
36
what is the value of a?
what is the value of x?
what is the value of z?
what is the value of b? what is the value of y?
Answer:
A = ( - 27)
Y = 3
X = 3
B = 8
Z =9
Step-by-step explanation:
Hope that helps
The solution to the equation [tex](\frac{-3jk^3}{2k^2m^3})^3=\frac{Aj^xk^{y}}{Bm^z}[/tex] is a = -27, x =3, y = 9, B = 8k⁶ and z = 9.
EquationAn equation is an expression used to show the relationship between two or more numbers and variables.
Given the equation as shown in the question:
[tex]\frac{-3jk^3}{2k^2m^3})^3\\ \\Simplifying\ the\ equation:\\\\=\frac{-27j^3k^{9}}{8k^6m^9} \\\\Comparing \ with\ \frac{Aj^xk^{y}}{Bm^z}\ gives:\\a=-27,x=3,y=9,B=8k^6,z=9[/tex]
The solution to the equation is a = -27, x =3, y = 9, B = 8k⁶ and z = 9.
Find out more on equation at: https://brainly.com/question/2972832
Round 249798.828806 to the nearest ten.
Answer: the answer is like it is
Step-by-step explanation:
You just round the number in the tenths 0 is closer to 0 then to 10!
What is the solution to this equation?
5x + 9 - 3x = 18 + 15
A. x = 8
B. x = 21
C. x = 3
D. x = 12
ANSWER: D (x = 12)
Answer:
x = 12
Step-by-step explanation:
5x + 9 - 3x = 18 + 15
2x + 9 = 33
2x (+ 9 - 9) = 33 - 9
2x/2 = 24/2
x = 12
[tex] \huge\boxed{\mathfrak{Question} \downarrow}[/tex]
What is the solution to this equation?
5x + 9 - 3x = 18 + 15[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \sf5 x + 9 - 3 x = 18 + 15[/tex]
Combine 5x and -3x to get 2x.
[tex] \sf2x+9=18+15 [/tex]
Add 18 and 15 to get 33.
[tex] \sf2x+9=33 [/tex]
Subtract 9 from both sides.
[tex] \sf2x=33-9 [/tex]
Subtract 9 from 33 to get 24.
[tex] \sf2x=24 [/tex]
Divide both sides by 2.
[tex] \sf \: x=\frac{24}{2} \\ [/tex]
Divide 24 by 2 to get 12.
[tex] \boxed{ \boxed{ \bf \: x=12 }}[/tex]
The value of x is 12. Yes, the option you clicked is correct. D. x = 12 (✓)7. Paula reduced the size of a rectangle to a height of 2 inches.
What is the new width if it was originally 24 inches wide and 12
inches toll?
& Simplify the expression, if possible. If not possible
in
Answer: if the width was not effected then the width is still 24 inches
if the area stayed the same, then
find area
area=legnth times width
288=12 times 24
so the new height./legnth =2
288=2 times width
divide by 2
144=width'
the new width =144
PLS I NEED HELP IM STUCKKKKK
Answer:
D
Step-by-step explanation:
We can cross off a because it is impossible to have negative of a material.
Now lets get into the System of equations. First subtract both of them to have one common variable(we will find the second one later)
- P + N = 134
- P + 3.1N = 241.10
2.1N = 107.1
107.1/2.1 = 51
Now we know that n = 51
lets substitute,
P + 51 = 134
P = 83
Lets check
83 + 51 = 134
Great! The asnwer is D
Answer:
D.
. . . . .. . . . . . .. . .. . . . . . . . ..
How do I solve:
1/6x - 4 =5/6x + 2
Answer:
The answer is x=-9
Step-by-step explanation:
I hope this helps you!
