Answer:
width: 3
Step-by-step explanation:
Given a length l and a width w, we can say that the perimeter is equal to
2 * l + 2 * w. Then, we also know that the perimeter is 27 plus its width, so
2 * l + 2 * w = 27 + w
and the length is 4 times its width, so length = 4 * width = l = 4 * w
We therefore have the two equations
2 * l + 2 * w = 27 + w
l = 4 * w
What we can do is plug 4* w for l in the first equation and solve from there. We thus have
2 * ( 4 * w) + 2 * w = 27 + w
8 * w + 2 * w = 27 + w
10 * w = 27 + w
subtract w from both sides to isolate the w and its coefficient
9 * w = 27
divide both sides by 9 to isolate w
w = 3
l = 4 * w = 12
Therefore, the width is 3 and the length is 12
Give the digits in the tens place and the tenths place.
97.42
Answer:
9: tens place
4: tenths place
Step-by-step explanation:
(a) If y varies directly as x, and y=24 when x=16, find y when x=12.
(b) In a formula, z varies inversely as P. If Z is 200 when P is 4, find z when P is 10.
Answer:
(a) 18
(b) 80
Step-by-step explanation:
(a) let y=kx
so, 24=16k
or, k=24/16 or, k=3/2
now, putting x=12
y=kx
or, y=(3/2)×12
or, y=3×12/2
or, y=36/2
or, y=18
(b) let P=k/z
so, 4=k/200
or, k=800
when P = 10
P=k/z
or, 10=800/z
or, z=800/10
or, z=80
write each equation explicitly in terms of x. then indicate whether the equation is a function. y^2-x^2+1=50
Step-by-step explanation:
y² - x² + 1 = 50
y² = x² - 1 + 50 = x² + 49
y = ±sqrt(x² + 49)
this is not a function in that sense, as for every x there are not one but 2 y (result) values.
please help asap
Addition prop of equality
subtraction prop of quality
multiplication prop of equality
Division prop of equality
simplifying
distrib prop
Answer:
multiplication prop of equality, (multiplying both sides by 6)
simplifying, (not distrib prop as there is no parentheses)
Addition prop of equality, (adding 18 to each side)
simplifying
For what values of K does the equation (2k+1)x^2 +2x= 10x - 6 have two real and equal roots.
Answer:
Step-by-step explanation:For what values of does the equation (2 + 1) have two 2
+ 2 = 10 − 6
real and equal roots?
A quadratic equation that has 2 roots that are equal means that the discriminant of the equation is 0. The value of k that makes the equation have 2 real and equal roots is [tex]k = \frac{5}{6}[/tex]
Given that:
[tex](2k + 1)x^2 + 2x = 10x - 6[/tex]
Rewrite as:
[tex](2k + 1)x^2 + 2x - 10x + 6 = 0[/tex]
[tex](2k + 1)x^2 - 8x + 6 = 0[/tex]
A quadratic equation is represented as:
[tex]ax^2 + bx + c = 0[/tex]
By comparison:
[tex]a=2k+1\\ b =-8\\\ c =6[/tex]
If an equation has 2 real and equal roots, then:
[tex]b^2 = 4ac[/tex]
So, we have:
[tex](-8)^2 = 4 \times (2k + 1) \times 6[/tex]
[tex]64 = 4 \times (2k + 1) \times 6[/tex]
Divide by 4
[tex]16 = (2k + 1) \times 6[/tex]
Divide by 6
[tex]\frac{16}{6} = (2k + 1)[/tex]
[tex]\frac{8}{3} = 2k + 1[/tex]
Subtract 2 from both sides
[tex]2k = \frac{8}{3} -1[/tex]
Take LCM
[tex]2k = \frac{8-3}{3}[/tex]
[tex]2k = \frac{5}{3}[/tex]
Divide by 2
[tex]k = \frac{5}{6}[/tex]
Hence, the value of k that makes the equation have 2 real and equal roots is [tex]k = \frac{5}{6}[/tex]
Read more about real and equal roots at:
https://brainly.com/question/2535040
WILL GIVE BRAINLIEST!!!
f(x) = 2/cos 2x
f(x) = 2/sin1x
f(x)=1/cos1/sin3
{x∣x ≠ π/4+πn/2} , for any integer n
Must click thanks and mark brainliest
is f(x)=e^-3x an exponential function?
Evaluate (657.3÷10)-(94.5÷5)
Answer:
Ans; (657.3÷10)-(94.5÷5) = 65.73 – 18.9 = 46.83
I hope I helped you^_^
a) An orange weighs 155 grams.
What's the weight of the orange in kilograms?
Answer: 0.155
Step-by-step explanation:
g / 1000 = kilograms
155 / 1000 = 0.155
PLZ ANSWERRRRRRRRRRRRR
Step-by-step explanation:
there it is! hopefully it's visible and understandable
:)
Solve.
Simplify 7 to the fifth power times 4 to the 5th power
Answer:
7^5=16,807 and 4^5=1,024
9. If a card is selected from a standard 52 card deck. What is the probability of selecting a face card or an Ace?
Help Please
2(-1+-4)-d^2
find the value of the trigonometric ratio. make sure to simplify the fraction if needed
Answer:
Cos C = a/h
= 21/35
Step-by-step explanation:
since cos is equal to adjacent angle over hypotenuse angle, so from the question we conclude Cos C = 21/35
The total number of branches in a tree diagram will be which of the following values?
the probability of an event occurring
the denominator of a probability
the numerator of a probability
Answer:
The total number of branches = total possibilities = the denominator of a probability.
So the second choice is correct.
Let me know if this helps!
Answer:
Step-by-step explanation: answer B (the denominator of a probability)
You deposit $600 in an account earning 8% interest compounded annually. How much will you have in the account in 10 years?
Thank you, thank you! C:
9514 1404 393
Answer:
$1295.35
Step-by-step explanation:
The compound interest formula can be used to find the account balance.
A = P(1 +r)^t . . . . principal P invested at annual rate r compounded for t years
A = $600(1 +0.08)^10 ≈ $1295.35
You will have $1295.35 in the account in 10 years.
What are the common factors of 24 and 60
2 and 3 are the common factor of 24 and 60
Which choice shows 14•(8 · 2) correctly rewritten using the associative property and then correctly simplified?
(14.8) · 2 = 112 · 2 = 224
(14 . 82) = 1, 148
14. (2.8) = 14 - 16 = 224
14.2.8 = 28. 8 = 224
Answer:
14.(8.2)= 14.16 = 224
Step-by-step explanation:
the answer is the first one
I need help with this balance mobile please:)
Answer:
blue 1
orange 5
green 3
I hope it is helpful and mark me as brainlest and follow me plz
What is one thousand minus on hundred and ten
Answer:
The answer is 890 . ...... :D
Simplify 1-31 +6+ (4 - 1). 8.
1.) 8
2.) 13
3.) 19
4.) 24
Step-by-step explanation:
By rule of bodmas rule
= 1 - 31 + 6 + 3 × 8
= 1 - 31 + 6 + 24
= 1 - 31 + 5 + 24
= - 30 + 5 + 24
= - 25 + 24
= -1
Now without using bodmas rule
= 1 - 31 + 6 + (4 - 1). 8.
=-30+6+4+(4-1)×8
=-23+4+(4-1)×8
=-19+4+(4-1)×8
=-15+(4-1)×8
=-15+3×8
=-15+24
=-9
MARK AS BRAINLIST IF IT IS USEFUL
In tennis, a player must win 6 games in order to win a set. However, winning 6 games does not guarantee that the player will win the set. If g is the number of games the player won and s is the number of sets the player won, which of the following inequalities must be true?
a. s ≤ 6g
b. s ≥ 6g
c. 6s ≤ g
d. 6s ≥ g
Answer:
A: s ≤ 6g
Step-by-step explanation:
Had this on a test that I scored 100 on.
The inequality that is true if winning 6 games doesn't guarantee you as a winner in the set is 6s ≤ g.
What are inequalities?An inequality is a relationship that makes a comparison between two non-equal values, integers or other mathematical equations.
From the given information, we have the following claim that:
A player must win 6 games in order to win a set. But winning those 6 games doesn't guarantee winning the set.So, we are given certain condition attached that;
If "g" = number of games won, and "s" = number if set won.Then, the inequality that is true for this condition is 6s ≤ g.
It implies that, the player truly won the six games but it doesn't guarantee him winning the set.
Learn more about inequalities here:
https://brainly.com/question/24372553
What is 1.25 x 10^8 in standard form?
Answer:
125000000
Step-by-step explanation:
1.25 x 10^8
Move the decimal 8 places to the right
1.25
We can move it two places
125
We need to add 6 more zeros
125000000
Answer: 125,000,000
Step-by-step explanation:
What is 2/6 times 1/6
Answer:
1/9
Step-by-step explanation:
2/6*1/6=2*1/6*6 or 1/9.
Answer:
1/18
Step-by-step explanation:
1. multiply across
2*1 and 6*6
2/36
2. divide by 2 to simplify
2/2 and 36/2
1/18
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!!
Determine the intervals where the value of f(x) is positive, when f(x)= (x + 7)(2x + 3)(x + 5). Choose all that apply
a. -∞ < x < 7
b. -7 < x < -5
c. -5 < x < -3/2
d. -3/2 < x < ∞
Answer:
b and dStep-by-step explanation:
Find zero's:
x = -7x = -3/2x = -5The intervals:
x < -7, all negative, the result is negativex is between -7 and -5, two negatives, the result is positivex is between -5 and -3/2, one negative, the result is negativex is greater than -3/2, all 3 positives, the result is positiveAs we see correct choices are b and d
Which of the following situations describe the expression 3 / (4/5)?
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW
Answer:
Choice D
Step-by-step explanation:
3 ÷ 4/5
We need to have 3 of something and divide it into 4/5
This eliminates choices B and C because those have 4/5 of something
Choice A is giving away which is subtracting
Choice D is 3 lbs divide into 4/5 lb groups
log, (x + y)=log, y, log, x .
Solve for question D only
Answer:
4.
Step-by-step explanation:
Change of base formula is
logb x = loga x / loga b
So logx 25 = log5 25 /log5 x
Now log5 25 = log5 5^2 = 2, so:
logx 25 = 2 / log5 x
So log5 x^2 * logx 25
= log5 x^2 * 2 /log5 x
= 2 log5 x * 2 / log5 x
= 4.
Diana get a gift card with a value of $55, and her favorite drink cost $2.20. How many plain black coffee can she buy with the gift card
Answer:
Twouufyjughgyuioiu567uhu888
Answer:
55/2.20=25 so 25 black coffees
Step-by-step explanation:
Find the missing side lengths.
Answer:
x is 18, and y is 9 √ 3
Step-by-step explanation:
Since this is a right triangle that contains a 30 degree angle, we know this is a special right triangle, and the missing angle is 60 degrees since a triangle is 180 degrees, and 180 - 90 - 30 = 60.
The relationship is listed below:
The side opposite of the 30 degrees can be represented as a variable, say "p", and the hypotenuse which is x in your question is twice this. The side opposite of the 60 degree angle is x + √3
So x is 18, and y is 9√3
Which two-dimensional shape is formed if a plane intersects the cylinder shown,
perpendicular to the base?
A) Circle
B) Square
C) Rectangle
D) Ellipse
9514 1404 393Answer:
C) Rectangle
Step-by-step explanation:
In general, the vertical cross section of a "right" cylinder will be a rectangle. In some special cases, it may be a square.
Each intersection of the plane with the curved surface is a line, not a curve, so the shape cannot be a circle or ellipse.
