Answer:
3, 6, and 15
Step-by-step explanation:
Notice that if 60 is a multiple, the numbers in question could have the same factors as 60.
So let's look at 60's prime factors:
60 = 2 * 2 * 3 * 5
we also know that 3 is a factor, so the factor 3 must be included in all three options, we also know that 4 is NOT a factor, so both factors 2 cannot be included (but only one of them could).
So, in order to build the lowest possible numbers that verify such conditions, we can use:
3
3 * 2 = 6
since 3 or 2 cannot be repeated, the next smaller would be:
3 * 5 = 15
If, 3a/b= 12 what is the value of (-a/-b)
Answer:
A ; -4
Step-by-step explanation:
3a = 12b then a = 4b (dividing by 3)
we put 4b in the equation instead of a:
(-4b / b) = -4
.. ..
Answer:
A. -4
Step-by-step explanation:
3a/b = 12
Let b = 2
3a/2 = 12
3a = 24
a = 8
( - a/b)
( - 8/2)
( - 4)
Para medir la temperatura se pueden utilizar diferentes escalas, por ejemplo, la escala de grados Celsius (°C) y Fahrenheit (°F ). La relación entre estas escalas está dada por la expresión: C igual fracción numerador 5 por F menos 160 entre denominador 9 fin fracción ¿A cuántos grados Fahrenheit equivalen 62 °C?
Answer:
143.6F
Step-by-step explanation:
Entonces la ecuación establecida es;
C = [tex]\frac{5F-160}{9}[/tex]
Entonces, para resolver el Celsius, debes hacer de F el tema que hago a continuación.
[tex]C = \frac{5F - 160}{9}\\C * 9 =( \frac{5F-160}{9}) *9\\9C - 5F = 5F -160 - 5F\\9C-5F =-160 \\-5F = -160 - 9C\\\frac{-5F}{-5} = \frac{-160-9C}{-5}\\[/tex]
∴[tex]F = \frac{-160-9C}{-5}[/tex]
Ahora ingresamos los valores y resolvemos para F
F = [tex]\frac{-160 - 9(62)}{-5}[/tex]
=[tex]\frac{-160-558}{-5}[/tex]
= [tex]\frac{-718}{-5}[/tex]
= 143.6
∴ 62C = 143.6F
Given: Parallelogram LMNO; MO ⊥ LN Prove: LMNO is a rhombus. Parallelogram L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. A square is drawn around point P. Sides L M and O N are parallel and sides L O and M N are parallel. ♣: ♦: ♠: I WILL GIVE BRAINLIEST PLS ANSWER
The proofing is as follows:
Given that,
|LO|=|MN| and |LM|=|ON|
It means that Opposite sides of a parallelogram are equa
Now, LN⊥OM
So,
∠LPO = ∠NPO = 90° ( by definition of perpendicular lines)
LPO ≅ ∠NPO (by definition of congruent angles)
|LP|=|PN| (diagonals of a parallelogram bisect each other)
based on this LMNO is a rhombus
Learn more: https://brainly.com/question/10046743?referrer=searchResults
Answer:
All right angles are congruent
Reflexive property
Opposite sides of a parallelogram are congruent
Step-by-step explanation:
That what i got on my assignment
Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto. ¿Cuánto tiempo le llevará a cada uno si juntos pueden hacer el trabajo en 3h?
Answer:
El tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora
Step-by-step explanation:
Para calcular el tiempo que le llevará a cada uno si juntos pueden hacer el trabajo en 3h, tenemos que primero segun los datos considerar lo siguiente:
Segun los datos tenemos que Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto, por lo tanto:
2X=Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto
X=El tiempo que le toma a Alberto.
Por lo tanto calculando la siguiente ecuacion, podremos hallar el valor de X:
2X+X=3 horas
3X=3 horas
X=1 hora
Entonces, tenemos que el tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
Please help me……………………………………………………………
Hey there! :)
Answer:
x = -6.
Step-by-step explanation:
Given:
[tex]\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}[/tex]
Cube both sides:
5x - 4 = 7x + 8
Subtract 5x from both sides:
-4 = 2x + 8
Subtract 8 from both sides:
-12 = 2x
x = -6.
this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters
Answer:
The perimeter of the actual playground is 22000 units
Step-by-step explanation:
By measurement, the width of the scale drawing = 16 units
The breadth of the scale drawing = 6 units
Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;
Actual width of the playground = 500×16 = 8,000 units
Actual breadth of the playground = 500×6 = 3,000 units
Therefore;
The perimeter of the actual playground = 2 × 8000 + 2 ×3000 = 22000 units.
please help me Which of the following choices will evaluate the function ƒ(x) = -(-x), when x = -3? 3 -1 -3 None of these choices are correct.
Answer:
-3
Step-by-step explanation:
Given the function f(x) = -(-x)
we want to evaluate f(-3)
What we do simply here is substitute the value of -3 for x in the equation
That would be ;
f(-3) = -(-(-3)) = -(3) = -3
Please answer this question fast in two second
Answer:
it could be angle DGF or CGA (they are both supplementary to angle CGD)
Step-by-step explanation:
If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b f(x) dx a ≤ M(b − a). Use this property to estimate the value of the integral. π/9 5 tan(3x) dx π/12 (smaller value) (larger value)
Answer: the value of the integral is in the range:
0.006 ≤ int ≤ 0.008
Step-by-step explanation:
First, we have the function
5*tan(3x), and the range in this case is: pi/12 ≤ x ≤ pi/9
Then, the first step is find the maximum and minimum of f(x) in this range.
We know that between 0 and pi/2, tan(x) is a growing function, then
then the limits are
5*tan(3*pi/9) = 5*tan(pi/3) = M= 0.091
5*tan(3*pi/12) = 5*tan(pi/4) =m = 0.069
Then the value of the integral is between:
0.069*(3.14/9 - 3.14/12) ≤ int ≤ 0.091*(3.14/9 - 3.14/12)
0.006 ≤ int ≤ 0.008
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answer:
I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.
We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.
We have two different approaches to this:
First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.
Then, for the first digit, we have 4 options.
for the second digit, we have 3 options (because we already used one)
for the third digit, we have 2 options (because we already used 2)
then the number of combinations is equal to the product of the number of options for each selection:
C = 4*3*2 = 24 combinations.
The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)
we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:
C = 5*5*5 = 25*5 = 125 combinations.
If Tanø =a/b Find the value of sinø+cosø/sinø-cosø
Answer:
[tex]\frac{b+a}{b-a}[/tex]
Step-by-step explanation:
Tan θ = [tex]\frac{perpendicular}{base}[/tex] = [tex]\frac{b}{a}[/tex]
So, Perpendicular = b, base = a
Finding hypotenuse by Pythagorean Theorem:
[tex]c^2 = a^2+b^2[/tex]
=> So, hypotenuse = c
Sin θ = [tex]\frac{perpendicular}{hypotenuse}= \frac{b}{c}[/tex]
Cos θ = [tex]\frac{base}{hypotenuse}= \frac{a}{c}[/tex]
So, Now finding [tex]\frac{sin\theta+cos\theta}{sin\theta-cos\theta}[/tex]
=> [tex]\frac{b}{c} + \frac{a}{c}[/tex] ÷ [tex]\frac{b}{c} - \frac{a}{c}[/tex]
=> [tex]\frac{b+a}{c}[/tex] ÷ [tex]\frac{b-a}{c}[/tex]
=> [tex]\frac{b+a}{c} * \frac{c}{b-a}[/tex]
=> [tex]\frac{b+a}{b-a}[/tex]
A chemist is using 367milliliters of a solution of acid and water. If 18.4% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
For this case we know that the total amount of solution including water and acid is V=367 ml
And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:
[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]
Step-by-step explanation:
For this case we know that the total amount of solution including water and acid is V=367 ml
And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:
[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]
A box contains 10 red , 3 blue, and 7 white balls , two balls are drawn at random from the box on after the other without replacement. What is the probability that both balls are of the same colour
Answer:
P(XX) = 69/190
Step-by-step explanation:
Given:
20 balls, 10R, 3B, 7W.
Two taken without replacement.
Find probability of two identical colours.
P(XX)
Solution:
We use the multiplication rule for the probability of each of the 2 draws
P(RR) = 10/20*9/19 = 90/380
P(BB) = 3/20*2/19 = 6/380
P(WW) = 7/20*6/19 = 42/380
Probability of drawing two identical coloured balls
P(XX) = (90+6+42)/380 = 138/380 = 69/190
Find the slope of the line that passes through (3, 6) and (6, 10). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
4/3
Step-by-step explanation:
To find slope use the formula (y2-y1)/(x2-x1)
In this case it is (10-6)/(6-3)
4/3
de un tanque lleno de agua se utiliza la cuarta parte para lavar ropa, los 5/ 6 del resto para cocinar y aun quedan 100 litros de agua ¿ cuantos litros de agua tenia el tanque?¿ cuantos litros de agua se utilizan para cocinar?
Answer:
a. 800 litros
b. 500 litros
Step-by-step explanation:
Aquí, se nos dice que 1/4 del total se usa para lavar la ropa.
Lo que queda sería 1-1 / 4 = 3/4 Fuera de esto, 5/6 se usa para cocinar.
La fracción utilizada para cocinar es 5/6 * 3/4 = 15/24 = 5/8
Y todavía nos quedan 100 litros.
La cantidad utilizada ya sería 1/4 + 5/8 = (2 + 5) / 8 = 7/8
Entonces la fracción no utilizada = 1-7 / 8 = 1/8
Ahora, es este 1/8 que corresponde a 100 litros.
Digamos que el volumen total es x litros inicialmente, Eso significa 1/8 * x = 100 x / 8 = 100 x = 800 litros
La fracción utilizada para cocinar es 5/8 del total, por lo que el valor sería 5/8 * 800 = 500 litros
?
Match each ratio to an equal ratio. Drag the items on the left to the
correct location on the right.
1:4
4:48
1:3
4:6
2:3
2:8
1:12
2:6
Answer:
2:8 is the ratio to an equal ratio
Write in figures;Nine million twenty thousand four hundred and six and twenty seven thousandths.
Answer:
9,020,406.27
Step-by-step explanation:
Answer:
9,020,406.27
Step-by-step explanation:
Plssssssssssssss help me it’s due tomorrow I really need help I will mark brainliest!!!
Answer:
∠BAD = 100°
∠ADC = 105°
∠DCB = 50°
∠ABC = 105°
Step-by-step explanation:
∠BAD is given.
∠ADC is supplementary to the 75°, so it is 180-75 = 105°
∠DCB is 50° just like its opposite angle
The sum of all angles in a quadrilateral must be 360, so ∠ABC = 360-100-105-50 = 105.
Use the Factor Theorem to determine which of the following are NOT factors of 3x^4 - 5x^3 - 71 x^2 + 157x + 60 a. x - 3 c. x - 2/3 b. x + 1/3 d. x - 4
Answer:
c. x - 2/3
Step-by-step explanation:
The given equation is f(x) = [tex]3x^4 - 5x^3 - 71 x^2 + 157x + 60[/tex]
To test if the given equations are factors of the polynomial, check if the remainder is equal to zero if substituted into the equation.
For x - 3, x = 3
Substituting x = 3 into the given polynomial:
[tex]f(3) = 3(3)^4 - 5(3)^3 - 71 (3)^2 + 157(3) + 60\\f(3) = 0[/tex]
x - 3 is a factor
For x - 4, x = 4
Substituting x = 4 into the given polynomial:
[tex]f(4) = 3(4)^4 - 5(4)^3 - 71 (4)^2 + 157(4) + 60\\f(4) = 0[/tex]
x - 4 is a factor
For x - 2/3, x = 2/3
Substituting x = 2/3 into the given polynomial:
[tex]f(2/3) = 3(2/3)^4 - 5(2/3)^3 - 71 (2/3)^2 + 157(2/3) + 60\\f(2/3) = 132.22[/tex]
x - 2/3 is not a factor
For x + 1/3, x = -1/3
Substituting x = -1/3 into the given polynomial:
[tex]f(-1/3) = 3(-1/3)^4 - 5(-1/3)^3 - 71 (-1/3)^2 + 157(-1/3) + 60\\f(-1/3) = 0[/tex]
x + 1/3 is a factor
Ewen has 48 whistle tiles and 16 blue tiles the cost of each white tile was £2 and the cost of each blue tile was £4 Work out the ratio of the total cost of the white tiles to the total cost of the blue tiles
Answer:
3:2
Step-by-step explanation:
Ewen has 48 white tiles and 16 blue tiles
The cost of each white tile was £2
The cost of each blue tile was £4
Therefore the total cost of 48 white tiles is
= 48×2
= £96
The total cost of 16 blue tiles is
= 16×4
= £64
The ratio of the total cost of the white tiles and blue tile can be calculated by dividing the cost of both tiles by their greatest common factor
The greatest common factor of £96 and £64 is 32
96/32 = 3
64/32= 2
Ratio= 3:2
Hence the ratio of the total cost of the white tiles to the blue tiles is 3:2
I need help with this problem, the picture is attached below. Select the following numbers that cannot represent the area of a polygon.
Answer:
-200, 0 and -5
Step-by-step explanation:
Area can never be zero or negative.
PLZ HELP ME I NEED THIS FAST WILL GIVE BRAINLIEST
Step-by-step explanation:
The formula the amusement parc use is 100y-39000=55(x-800)
The slope intercept form of a function is wriiten generally as:
y = mx+c
m is a slope c is a constant and represents the y-intercept x is a variable y is the input of the functionLet's rewrite our equation in the precedent form
100y-39000 = 55(x-800)100y -39000 = 55x-44000 add 39000 in both sides100y-39000+39000 = 55x-44000+39000100y = 55x-5000 divide both sides by 100y = 0.55x-50The slope intercept form of this equation is:
y= 0.55x-50
Answer:
y=55x+38992
Explanation:
You have to turn the equation into the form y=mx+b
Step 1: Get y by itself(divide both sides by 100)
100y-39,000=55(x-800)
100/100y-39,000=55(x-800)/100
y-39,000=55(x-800)/100
Step 2: Get y by itself(+ 39000 to both sides)
y-39,000=55(x-800)/100
+39,000=55x-800/100+39,000
y=55x-800/100=39,000
Step 3: Simplify
y=55x+38992
Yasmin bought several items at the discount store. She paid 8.75 percent sales tax, an amount of $4.59, on the total amount of her purchase. What was the total amount of her purchase before tax was added? $40.16 $52.46 $190.63 $401.63
Answer:
$52.46
Step-by-step explanation:
We are told that ...
8.75% · purchase = $4.59
Dividing by the percentage, we have ...
purchase = $4.59/0.0875 = $52.46
Yasmin's pre-tax total was $52.46.
Answer:
the correct answer is b aka 52.46
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 1-mile ride? A)$0.20 B)$0.02 C) $2.20 D)$2.00
Answer:
c
Step-by-step explanation:
Any ride takes $2.00 and one mile takes $0.20.
Cost = $0.20 + $2.00
Cost = $2.20
Please help quicklyyy!Zachary sold his stock in a computer company. He received $34 per share. This was $8 less
than twice what he paid for it. What was the price of the computer stock per share when he
bought it?
Answer:
Hey there!
Let x be the price he paid for.
2x-8=34
2x=42
x=21
He bought the stock for 21 dollars.
Hope this helps :)
Answer:
The price per share when he bought it was 21
Step-by-step explanation:
Let x = price he paid for the stock
34 = 2x-8
Add 8 to each side
34+8 = 2x-8 +8
42 = 2x
Divide by 2
42/2 = 2x/2
21 = x
The price per share when he bought it was 21
7. In 2015 a club has 250 members who each
pay
$95 annual subscription.
In 2016 the membership increases by 4% and the annual subscription is
increased by 6%. What is the total income from subscriptions in 2016?
2015:
250 members
$95 annual subscription
2016
250 members + 4%
$95 annual subscription + 6%
Work:
250 x 1.04 = 260
95 x 1.06 = 100.7
260 x 100.7 = 26,182
Thus, the club makes $26,182 from 260 members who pay a subscription of $100.7
Three angles of an octagon are equal and the sum of the remaining angles is 705⁰. find the size of one of the equal angles.
Answer:
125°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 8 (octagon), thus
sum = 180° × 6 = 1080°
let x represent one of the equal angles, then
3x + 705 = 1080 ( subtract 705 from both sides )
3x = 375 ( divide both sides by 3 )
x = 125
Thus the size of one equal angle = 125°
first chance you get the best marks
Answer:
First box and last box.Step-by-step explanation:
It is the first box.Distribute 7 to the first number
7 * -3/4 = -21/4
-21/4 = 5 -1/4
Distribute 7 to the second number
7 * -3
= -21
Put the numbers together
5 -1/4x -21 is the answer.It is also the last box.They separated the parenthesis.
So it is still 7 * -3/4
and
7*-3.
Hope this helps,
Kavitha
Plz please help❤️ With only 5 please
Answer:
4. -1/2 and 2
5. N and R
Step-by-step explanation:
Well if you want me too do 5 I’ll do 4 too.
So for #4 it’s actually pretty simple we just have to seperate y that’s it.
So first we have to get y by itself by subtracting 3x to the other side so the equation looks like this now [tex]6y=-3x+12[/tex].
Now we have to take away the 6 and to do that we divide it to all the numbers and variables. Which gets us [tex]y=-1/2x+2[/tex].
So m and b are -1/2 and 2.
So we have to graph y = -1/2x + 2 so look at the image below.
So looking at the image we can see it passes through the points N and R.
Answer:
The line passes through points N and R.
Step-by-step explanation:
I graphed the equation on the graph below.