Answer:
Option (A)
Step-by-step explanation:
Given expression is,
[tex]5\sqrt{48a}=60[/tex]
Squaring on both the sides of the equation,
[tex](5\sqrt{48a})^2=(60)^2[/tex]
25(48a) = 3600
1200a = 3600
By dividing the equation by 1200,
a = [tex]\frac{3600}{1200}[/tex]
a = 3
Therefore, Option (A) will be the answer.
A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint
Answer:
A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint
Step-by-step explanation:
Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
To make color pink,
for every 3 cups of red , we need 7 cups of white.
Let 'r' be the cups of red required
let 'w' be the cups of white required
so , as per the question
for 3 r we need = 7 w
r = 7/3 w
so, 7/3 is constant of proportionality
Based on the graph, which set shows the solution to log(2x+7)>-2/3x+2?
Answer:
D or [1.5, ∞)
Step-by-step explanation:
Got it right on edgenuity
Can you help me solve this
Step-by-step explanation:
Circle YES or NO The terms -5x and 5x are like terms. PLEASE I NEED IT REALLY QUICK
Answer:
YES
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Because -5x and 5x both have the same things in it (a full base number and variable), they are like terms. It doesn't matter that one is a negative and the other is not. It's just matters that everything else is the same.
I hope this helps!
Circle YES or NO The terms 15and 9are like terms.
Circle YES or NO The terms -10xy and 9x are like terms.
Answer:
yes, and no
Step-by-step explanation:
Answer:
YES
NO
Step-by-step explanation:
15 and 9 are like terms because they can be simplified together. 15+9, 15-9, 15*9 can all be simplified further.
-10xy and 9x are not like terms because they cannot be simplified without the variables first being defined.
I need help and it due today someone help meee
If f(x) = 4x +4, g(x) = – 2x2 - 4x + 5, and h(x)= - 8x2 + 7, find g(1).
Answer:
-1
Step-by-step explanation:
g(1) = -2*1^2 - 4*1 + 5
Find the difference of 6/7 minus 1/14
Answer:
11/14
Step-by-step explanation:
Answer:
11/14
Step-by-step explanation:
Convert to common denominator then subtract the numerator
What is an equation of the line that passes through the points (1, 2) and (2, -1)?
Answer: m = -3
............................
Help quick
(7u2+21u)÷(u+3)
Answer: it should be 11.infinite 6
Step-by-step explanation:7x2=14+21=35
35/3 = 11.infinite 6
So basically 11.6
Find Sin x and Tan x if Cos x=2/3 and Cot x >0. Evaluate without using calculator.
[tex]\sqrt5[/tex]Answer:
Sin^2 x + Cos^2 x = 1
Sin^2 x = 1 - 4 / 9 = 5 / 9
Sin x = [tex]\sqrt5[/tex] / 3
Tan x = Sin x / Cos x = ([tex]\sqrt5[/tex] / 3) / (2 / 3) = [tex]\sqrt5[/tex] / 2
Someone please help!! Solve for X, Y, and Z!
Answer:
Y= 43, x=137, z=137 total is 360
what is the rule for that
Answer:
The constant rule being followed is that the sum of x and y in every case is 5
Since the sum of x and y is 5, we can say that the value of y is 5-x
So we can define a function for this rule:
f(x) = 5 - x
Answer:
y = -x + 5Step-by-step explanation:
From the table we see that:
1. It is linear relationship as the difference in values change in linear increment2. Rate of change is - 1 as y-values drop by 1 unit3. y-intercept is 5 as per the first row (0, 5)Considering the above observations we can put equation:
y = - x + 5Compare 167.4 and 167.462.
Answer: <
Step-by-step explanation:
167.4=167.40 so 167.462 is greater. It’s correct. Trust me.
Image attached below. Please help.
Answer:
T,F,T,F,T
Step-by-step explanation:
1. It crosses it there becuase 4(0)-15=-15 for y
2: both top and middle answers are -23, so continuous
3: it increases over that period because the exponent keeps getting bigger
4: No, its not decreasing because -12 plugged in is far less than -23 when -2 is plugged in, meaning its increasing
5: There is no number that would cause an imaginary number or make you divide by zero, meaning all real numbers are fine.
The ratio of the number of men to the number of women in a sports club is 5:2.
After 63 men and 12 women quit the club, the ratio of the number of men to the number of women became 7:4.
How many members did the club have in the beginning?
Let the number of men and the number of women in the beginning be x and y
Now,[tex]\sf \frac{x} {y} =\frac{5}{2} \\\\\sf
=2x=5y \\\\\sf
=x=\frac{5y}{2}[/tex]
Now, In 2nd case,
No. Of men=x-63 and no. Of women =y-12
Now,the ratio becomes[tex] \frac{x-63}{y-12}=\frac{7}{4} \\\\\sf
=4(x-63)=7(y-12) \\\\\sf
=4x-252=7y-84 \\\\\sf
Putting,\:x=\frac{5y}{2}\:in\: 4x-252=7y-84\:we\: get, \\\\\sf
10y-252=7y-84 \\\\\sf
=10y-7y=252-84 \\\\\sf
=3y=168 \\\\\sf
=y=56 \\\\\sf
=\boxed{Y=56}
[/tex]
Now,we have, 2x=5y
Putting the value of Y=56 in 2x=5y,we get,
[tex]\sf 2x=5\:x\:56 \\\\\sf
x=\frac{5\:x\:56}{2} \\\\\sf
x=\frac{5\:x\: \cancel{56}\:\:28}{ \cancel{2}} \\\\\sf
=x=5\: x\: 28 \\\\\sf
x=140 \\\\\sf
\boxed{x=140}
[/tex]
Hence, the number of men was 140 and the no. of women was 56
Hi...I am from India.. Where are you from?
−6.5(n−5)=18.2 what is the value of n?
Answer: The value of n is 2.2
Step-by-step explanation:
The difference between the areas of the figures is less than 4.
An absolute value inequality that represents this situation is ___
The solution of the inequality is ___
Answer:
1. |40 – 4x| < 4
2. 9 < x < 11
Step-by-step explanation:
We'll begin by calculating the area of each figure. This can be obtained as follow:
For triangle:
Area = ½ × base × height
Base = 8
Height = 6
Area =?
Area = ½ × 8 × 6
Area = 4 × 6
Area = 24
For Rectangle:
Area = length × breadth
Length = x – 4
Breadth = 4
Area =?
Area = (x – 4) × 4
Area = 4x – 16
Summary:
Area of triangle (Aₜ) = 24
Area of rectangle (Aᵣ) = 4x – 16
1. Writing an absolute value for the inequality.
From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:
Aₜ – Aᵣ < 4
Area of triangle (Aₜ) = 24
Area of rectangle (Aᵣ) = 4x – 16
24 – (4x – 16) < 4
Simplify
24 – (4x – 16) < 4
Clear bracket
24 – 4x + 16 < 4
24 + 16 – 4x < 4
40 – 4x < 4
Thus, we can write the absolute value for the above inequality as:
|40 – 4x| < 4
2. Determination of the solution of the inequality.
This is illustrated below:
|40 – 4x| < 4
Thus the above equation can be written as
– 4 < 40 – 4x < 4
Subtract 40 from both side
– 4 – 40 < 40 – 4x – 40 < 4 –40
– 44 < – 4x < – 36
Divide through by –4
– 44/–4 < x < – 36/–4
11 > x > 9
Note: the inequality sign changed because we divided by a negative number
Thus, 11 > x > 9 becomes 9 < x < 11
Therefore, the solution to the inequality is 9 < x < 11
Is Triangle B a rotation of Triangle A?
Explain How u know
Answer:
No, triangle B is a reflection of triangle A.
Step-by-step explanation:
The points of triangle A are reflected across the dotted line. So as a result triangle B is a reflection of triangle A.
Answer:
No
Step-by-step explanation:
Its a reflection because even if you did rotate it it would never be in that orientation.
Please help with is !!!!!!!!
The gift box is 10 cm x 12 cm x 3 cm what is the volume of the box
Answer:
volume = L*B*H
Step-by-step explanation:
SO,
Volume of the box = L*B*H
OR, Volume of the box = 10*12*3
thus, Volume of the box =360
PLEASE HELP, WILL GIVE BRAINLIEST! Which descriptions can describe more than one triangle? Select two options.
side lengths of 6 ft, 8 ft, and 10 ft
angle measurements of 35 degrees, 35 degrees, and 110 degrees
angle measurements of 30 degrees, 40 degrees, and 50 degrees
angle measurements of 40 degrees, 60 degrees, and 80 degrees
side lengths of 4 cm, 6 cm, and 9 cm
Answer:
B and D
Step-by-step explanation:
i got it right :D
4617 divided by 23 as a mixed number
Answer:
200 17/23
Step-by-step explanation:
Mathxway.....
for the inequality Y
Step-by-step explanation:
Ur qsn is so confusing can you plz rewrite it
Simplify the algebraic expression by combining like (or similar) terms.
-7x - 8y- 5x - 6y
Answer:
-12x - 14y
Step-by-step explanation:
First I would move them side by side so I can see it better so:
-7x - 5x - 8y - 6y
now combine the x values together and the y values together:
-12x - 14y
The opposite of an integer is always negative.
Answer:
False
Step-by-step explanation:
To find the opposite of an integer, we just change its sign. If it is negative, change to positive. If it is positive change to negative. Opposite integers are the pairs of integers that have the same absolute value, or the same distance from zero. The sum of two opposites is always zero.
Hope this helps :)
True or False: 0/2=2/0
Answer:
it's true 0 divided by 2 is 0 and 2 divided by 0 is still 0
Rewrite 38/7 as a mixed number. 5 3/7 3 8/7 3 7/8 5 4/7
Answer:
5 3/7
Step-by-step explanation:
Answer:
let's see what to do
Step-by-step explanation:
[tex] \frac{38}{7} = \frac{35 + 3}{7} = \frac{35}{7} + \frac{3}{7} = 5 + \frac{3}{7} \\ [/tex]
End....
thanks for watching ♥️♥️♥️♥️♥️.
At the beginning of July, Kim had a mass of 63 kg.
At the end of July, his mass was 61 kg.
Calculate the percentage loss in Kim's mass.
Answer:
2%
Step-by-step explanation:
Jessica, Kareem, and Lamar served a total of 64 orders Monday at the school cafeteria. Jessica served 8 fewer orders than Lamar. Kareem served 2 times as
many orders as Lamar. How many orders did they each serve?
Answer:
Jessica: 10 orders
Lamar: 18 orders
Kareem: 36 orders
Step-by-step explanation:
Let's first designate each person with a letter.
The number of orders served by Jessica can be designated as [tex]J[/tex]
The number of orders served by Kareem can be designated as [tex]K[/tex]
The number of orders served by Lamar can be designated as [tex]L[/tex]
We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.
[tex]J+K+L=64[/tex]
We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, [tex]J[/tex], being equal to Lamar's orders [tex]L[/tex] minus 8.
[tex]J = L-8[/tex]
Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, [tex]K[/tex], being 2 times Lamar's orders [tex]L[/tex].
[tex]K = 2L[/tex]
With these 2 equalities, we can substitute [tex]J[/tex] and [tex]K[/tex] in our original equation,
[tex]J+K+L=64[/tex]
with their values expressed as a subtraction or multiplication of [tex]L[/tex].
[tex]J[/tex] will be substituted with [tex]L-8[/tex], and [tex]K[/tex] will be substituted with [tex]2L[/tex].
[tex]J+K+L=64[/tex]
With substitutions:
[tex](L-8) + 2L + L = 64[/tex]
We can simplify this by combining the L-terms:
[tex]L + 2L + L -8 = 64\\4L - 8 = 64[/tex]
Next, we'll add 8 to both sides.
[tex]4L = 72[/tex]
Divide both sides by 4:
[tex]L = 18[/tex]
Thus, Lamar served 18 orders.
Using our expressions, we can find how many orders the others served.
Jessica:
[tex]J = L-8\\J = 18 -8\\J = 10[/tex]
Jessica served 10 orders.
Kareem:
[tex]K = 2L\\K = 2*18\\K = 36[/tex]
Kareem served 36 orders.