Answer:
WHEN X =5 LHS = 32*3 => 96 IS EQUAL TO RHS. therefore five years ago their product of ages is equal to 96.
hope this helps!
Find the circumference of a circle if the area of the circle is 256 π in².
Answer:
32π in
= 100.48 in.
Step-by-step explanation:
From Area:
radius, r = √(A/π)
= √(256 π in²/π)
= 16 in
where π = 3.14
》 Circumference = 2π(r)
= 2π(16)
= 32π in.
= 100.48 in
What are “DEC” and “CEF” I will mark the brainiest
[tex]\\ \rm\longmapsto <DEC+<CEF=180[/tex]
[tex]\\ \rm\longmapsto 11x-12+2x+10=180[/tex]
[tex]\\ \rm\longmapsto 13x-1=180[/tex]
[tex]\\ \rm\longmapsto 13x=169[/tex]
[tex]\\ \rm\longmapsto x=\dfrac{169}{13}[/tex]
[tex]\\ \rm\longmapsto x=13[/tex]
Now
[tex]\\ \rm\longmapsto 11x-12=11(13)-12=143-12=131[/tex]
[tex]\\ \rm\longmapsto 2x+10=2(13)+10=36°[/tex]
Answer:
∠ DEC = 142°, ∠ CEF = 38°
Step-by-step explanation:
∠ DEC and ∠ CEF are adjacent angles on the straight line and sum to 180° , so
11x - 12 + 2x + 10 = 180 , that is
13x - 2 = 180 ( add 2 to both sides )
13x = 182 ( divide both sides by 13 )
x = 14
Then
∠ DEC = 11x - 12 = 11(14) - 12 = 154 - 12 = 142°
∠ CEF = 2x + 10 = 2(14) + 10 = 28 + 10 = 38°
PLSLSLSLSLSL HELPPPPP
Answer:
100 ( 4 - π rad )
Jdnzjdhbdudhejdjejd
f(x)=|-3x+4|+5 help?
Answer:
This will plot as an upward "V" with the vertex at x = 4/3, y = 5
Step-by-step explanation:
The absolute value will mean that y can only be positive. y will be at a minimin when the absolute value is zero. To determine that find the x that makes it zero, so
-3x + 4 = 0
-3x = -4
x = 4/3
which makes y = 5 (the minimin)
Whats 2/5 as a decimal??
Answer:
0.4
Step-by-step explanation:
divide simply the given problem by using calculator
Answer:
0.4
Step-by-step explanation:
2/5 turned into a decimal is simply 0.4! Hope it helps :)
I divide my favorite number by its reciprocal , the quotient is 10 times as large as my favorite number. My favorite number is..
A. 1/10
B. 1/5
C. 1/2
D. 10
Answer:
1/10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
x is the favorite number
x÷[tex]\frac{1}{x}[/tex] = 10x (flip the fraction and multiply)
[tex]x^{2}[/tex]=10x (divide both sides by x)
x=10
In slope-intercept form, write the equation of
the line that passes through the point (-8,2)
with a slope of
1/2
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = 1/2x + b
2 = 1/2(-8) + b
2 = -4 + b
6 = b
hi guys i need help with this problem ASAP! Thanksss
Answer:
56
Step-by-step explanation:
There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56
[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]
You are offered two jobs. One with a yearly salary of $54,262, and the other an hourly
job with a rate of $26 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?
Answer:
126.5 or 126 and 1/2 (one half)
Step-by-step explanation:
To find out how much that yearly salary is in weeks, we can take the number and divide by 52, because there are 52 weeks in the year.
54,262/52 = 1043 and 1/2 or 1043.5
Now, we must do 26 * 45 because you are working for 45 hours, and making $26 an hour.
and that number for 26 * 45 is 1170.
Now to find how much more you make from taking the hourly job over the salary job, you need to find the difference.
To do that, you would subtract 1170 and 1043.5 or 1043 and 1/2.
That is 126.5 or 126 and 1/2 (one half)
The hypotenuse of a right triangle is 6 cm and one side is 2 cm longer than the other side. Find the length of each side to one decimal place.
Answer:
The two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.
Step-by-step explanation:
Let x be one leg of the right triangle.
Since the other leg is two centimeters longer, it can be represented by the expression:
[tex]x + 2 \text{ cm}[/tex]
According to the Pythagorean Theorem, for a right triangle:
[tex]a^2 + b^2 = c^2[/tex]
Where c is the hypotenuse and a and b are the two legs.
The hypotenuse is given to be 6 cm and the two legs are x and (x + 2). Hence:
[tex](x)^2 + (x+2)^2 = 6^2[/tex]
Solve for x. Simplify:
[tex]x^2 + (x^2 + 4x + 4) = 36[/tex]
Simplify:
[tex]2x^2 + 4x + 4 = 36[/tex]
Subtract:
[tex]2x^2 + 4x - 32 =0[/tex]
Divide:
[tex]x^2 + 2x - 16 = 0[/tex]
The equation is not factorable, so we can consider using the quadratic formula:
[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}[/tex]
In this case, a = 1, b = 2, and c = -16. Substitute:
[tex]\displaystyle x= \frac{-(2)\pm\sqrt{(2)^2-4(1)(-16)}}{2(1)}[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned}x &= \frac{-2\pm\sqrt{68}}{2} \\ \\ &= \frac{-2\pm\sqrt{4\cdot 17}}{2} \\ \\ &= \frac{-2\pm2\sqrt{17}}{2} \\ \\ &= -1 \pm \sqrt{17} \end{aligned}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x = -1 + \sqrt{17} \approx 3.1\text{ or } x = -1 - \sqrt{17} \approx -5.1[/tex]
Lengths cannot be negative, so we can ignore the second solution.
Hence, the value of x or the first side length is about 3.1 centimeters.
Since the other side length is two centimeters longer, the other side is about 5.1 centimeters.
In conclusion, the two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.
Find the value of (625)1/4 i want the answer fast please
Answer:
625 =5⁴
so ( (5)⁴)^1/4
that is 5
pls follow me
What number should be added to -4/7 to get 5/9?
9514 1404 393
Answer:
71/63
Step-by-step explanation:
Let n represent the number of interest.
-4/7 + n = 5/9 . . . . . n must be added to -4/7 to get 5/9
n = 5/9 + 4/7 = (35 +36)/63 = 71/63
The number 71/63 must be added to -4/7 to get 5/9.
I need help please I’m not sure how to do this
Answer:
This is just simply saying 1 divides by 2 we that is 0.5 in decimal
Hope I helped
prove bn=dn..........
Answer:
See Below.
Step-by-step explanation:
We can write a two-column proof.
Statements: Reasons:
[tex]\displaystyle 1) \text{ } N \text{ is the midpoint of } \overline{AE}[/tex] Given
[tex]\displaystyle 2) \text{ } \angle 1 \cong \angle 2[/tex] Given
[tex]\displaystyle 3) \text{ } \angle A \cong \angle E[/tex] Given
[tex]\displaystyle 4) \text{ } \overline{AN} \cong \overline{NE}[/tex] Definition of Midpoint
[tex]\displaystyle 5) \text{ } \Delta ABN \cong \Delta EDN[/tex] ASA Congruence
[tex]\displaystyle 6) \text{ } \overline{BN} \cong \overline{DN}[/tex] CPCTC
Value of expression 3-15 /7
Answer:
6/7
Step-by-step explanation:
3-15 /7
3 - 15/7
= 6/7
-18 divided by 9
-5x(-7)
Answer:
1) -18 divided by 9 is -2
2) -5x(-7) is 35x
Step-by-step explanation:
[tex] - 18 \div 9[/tex]
[tex] = - (18 \div 9)[/tex]
[tex] = - 2[/tex]
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
[tex] - 5x( - 7)[/tex]
[tex] = 5x \times 7[/tex]
[tex] = 35x[/tex]
Jane has 63m ribbon.If she cuts 56m 21cm ribbon from it,what length of ribbon will be left.
Jasper Hall sells farm chemicals. He is paid a commission of 99% of his first $6,000 in sales during the month and 14% on all sales over $6,000. What is his commission in a month in which he has sales worth $16,120?
Amount of total commission is $1,956.8 (Approx.)
Given:
Percent of commission upto $6,000 sale = 9% (Misprint)
Percent of commission over $6,000 sale = 14%
Amount of total sales = $16,120
Find:
Amount of total commission
Computation:
Amount of commission upto $6,000 sale = 6000 × 9%
Amount of commission upto $6,000 sale = $540
Amount remain = 16120 - 6000
Amount of commission upto $6,000 sale = $10,120
Amount of commission over $6,000 sale = 10,1200 × 14%
Amount of commission over $6,000 sale = $1,416.8
Amount of total commission = Amount of commission upto $6,000 sale + Amount of commission over $6,000 sale
Amount of total commission = 540 + 1,416.8
Amount of total commission = 1956.8
Amount of total commission = $1,956.8 (Approx.)
Learn more:
https://brainly.com/question/21015601?referrer=searchResults
find 6x+y when x=5 and y=7
Answer:
37
Step-by-step explanation:
6x+y
Let x = 5 and y = 7
6*5+ 7
Multiply
30 +7
Add
37
How many solutions are there to the equation below?
9x + 16 = 4x
A. infinitely many
B. 1
C. 0
Step-by-step explanation:
Infinitely many solutions are there....
hope it helps
Using deductive reasoning, write the converse, inverse, and contrapositive of an if-
then statement.
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
p -> q
converse
~p-> ~q
inverse
q-> p
Contrapositve
~q-> ~p
2 – 3х + 5х = 16 — 8х + 8x
Answer:
2 – 3х + 5х = 16 — 8х + 8x
2 - 8x = 16
8x = 14,
x = 1.75
ayooo i need helppppp
Answer:The answer is in the attached file below
Step-by-step explanation:
Answer:
angle 7=100 ,angle 8=80
Step-by-step explanation:
For angle 7:
By using definition of alternate interior angles:
angle 4=angle 6
Subtitute values of angles:
x+2y=3y+20
x+2y-3y=20
x-y=20.......(1)
Now by using definition of alternate opposite angles:
angle 4= angle 2
angle 2=x+2y
Angle 1 and angle 2 are the angles of straight line ,there sum will be 180.
2x+y+x+2y=180
3x+3y=180
x+y=60......(2)
Add (1) and (2):
x-y=20
x+y=60
_______
2x=80
x=40
subtitute x=40 in (2):
40+y=60
y=60-40
y=20
For angle 7:
By using definition of alternate exterior angle:
angle 1=angle 7
angle 7=2x+y
subtitute x and y:
angle 7=2(40)+20
=100
For angle 8:
By using definition of alternate opposite angle:
angle 8=angle 6
angle 8= 3y+20
angle 8=3(20)+20
=80
What is the number which when divided by 26 gives 15 as
quotient and 8 as remainder
Answer:
398
Step-by-step explanation:
multiply 15 by 26 then add 8. check answer by dividing 398 by 26 using long division, not a calculator. you will get a decimal or fraction if you do
Which geometric term is modeled by the stop sign
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2
Find F[G(x)] - F(x).
4x + 4
4x
4x + 2
Step-by-step explanation:
F[G(x)]=2(3x+2)-1= 6x+4-1= 6x +3
F[x]=2x-1
F[G(x)] - F(x)=6x+3-(2x-1)=6x+3-2x-1
=4x+2
answer=4x+2
Answer: A
Step-by-step explanation:
[tex]F(x)=2x-1\\G(x)=3x+2\\\\F(G(x))-F(x)=F(3x+2)-(2x-1)\\\\=2*(3x+2)-1-2x+1\\\\=6x+4-2x\\\\=4x+4\\\\\\Answer\ A[/tex]
if AC = 72 and BC = 32, what is the length of AB
Answer:
104
Step-by-step explanation:
solution :
AC = 72
BC = 32
AB = AC + AC
= 72+32
= 104#
Am i right ?
Find the slope. Is mine right or does it need to be positive?
Answer:
The slope is -⅔ [ negative slope ]
Step-by-step explanation:
Consider two points spotted from the graph.
That is (3, 0) and (0, 2)
[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} [/tex]
y1 is 0
y2 is 2
x1 is 3
x2 is 0
substitute:
[tex]slope = \frac{2 - 0}{0 - 3} \\ \\ = - \frac{2}{3} [/tex]
Please answer ASAP please and thank you
Answer:
2 (15/28)
Step-by-step explanation:
[tex]5 \frac{1}{4} - 2 \frac{5}{7} \\ = \frac{21}{4} - \frac{19}{7} \\ = \frac{21\times 7}{4 \times 7} - \frac{19 \times 4}{7 \times 4} \\ = \frac{147}{28} - \frac{76}{28} \\ = \frac{(147 - 76)}{28} \\ = \frac{71}{28} \\ = 2 \frac{15}{28} [/tex]
Evaluate with help of distributive property :
i. 425 x 136 ii. 4005 x 67
Answer:
1 : 57,800.
2: 268,335
Step-by-step explanation:
hope it helps you
The expressions are evaluated using distributive property below -
We have -
i. 425 x 136
ii. 4005 x 67
We have to evaluate them with help of distributive property.
State the property of distributivity of multiplication over addition.Distributive property of multiplication over addition :
a × (b + c) = a × b + a × c
According to question, we have -
i. 425 x 136
ii. 4005 x 67
Now -
425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 x 425 x 100
and
4005 x 67 = 4005 x (60 + 7) = 4005 x 60 + 4005 x 7
Hence, the evaluation using distributive property is done.
To solve more questions on Distributive property, visit the link below -
https://brainly.com/question/21172683
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