Answer:
1:25
Step-by-step explanation:
Given
Dimensions of swimming pool:
W = 2 mL = 6 mDimensions on paper:
w = 8 cml = 24 cmScale is the ratio of same measurements:
w/W = 8 cm/2 m = 8 cm / 200 cm = 1/25So the scale is 1:25
An office supply store recently sold a black printer ink cartridge for $14.99 and a color printer ink cartridge for $20.99. At start of a recent fall semester, a total of 42 of these cartidges was sold for a total of $695.58. How many of each type were purchased?
Answer:
B = 31, C = 11
Step-by-step explanation:
Let B be the number of Black printer ink cartridges and C be the number of color printer ink cartridges.
42 were sold in total, hence,
B+C= 42 ------------(1)
Also, its given that
14.99 B+20.99C= 695.58 ------(2)
Multiplying (1) by 20.99,
14.99 B+14.99 C= 629.58 ------(3)
Now, subtracting (3) from (2),
14.99 B+20.99C= 695.58
14.99 B+14.99 C= 629.58
------------------------------------
6 C = 66
C= 66/6
C = 11
We know, B+ C= 49
Hence B = 42- 11 = 31
B = 31
Hence, number of Black printer ink cartridges = 31 and color printer ink cartridges = 11 .
a trader bought 90oranges at 3 for gh¢ 0.75 .how much did she get from selling all
Answer:
How much did she sell it
Simplify the scalar multiplication on the matrix.
Answer:
third option
Step-by-step explanation:
Given
3 [tex]\left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right][/tex]
Multiply each element in the matrix by 3
= [tex]\left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right][/tex]
Answer:
C.
Step-by-step explanation:
If you make $3.80 an hour plus tips, what is your paycheck for the week if you worked 40 hours and made $250.00 dollars in tips?
Answer:
$402
Step-by-step explanation:
Hello!
If you made 3.80 an hour and worked 40 we can multiply these to find the total amount you earned.
3.80 * 40 = 152
You also made 250 in tips so we add that to the total
152+250 = 402
The answer is $402
Hope this helps!
If Ab = 54, find MC.
Answer:
MC = 45
Step-by-step explanation:
Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{MC}[/tex] = [tex]\frac{AH}{MH}[/tex] , substitute values
[tex]\frac{54}{MC}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )
6MC = 270 ( divide both sides by 6 )
MC = 45
Can somebody please help me
You can pick one or the other to have as your answer
===========================
Explanation:
The formula you use is
A = pi*r^2
The radius is r = d/2 = 10/2 = 5
So,
A = pi*r^2 = pi*5^2 = pi*25 = 25pi
is the exact area
Replace pi with 3.14 to get 25*pi = 25*3.14 = 78.5
which is the approximate area
To get a better approximation, you would use more decimal digits of pi.
what is the general form to find square roots
Answer:
see below (I hope this helps!)
Step-by-step explanation:
Square roots are usually in the form a√b where a and b are any rational number.
Plz Help I would appreciate it!!!
Answer:
a) Similar triangles are triangles with the same shape but not necessarily the same size
b) 15/45 = 8/x
1/3 = 8/x (simplify the 15/45)
x = 8 * 3 (cross multiplication)
x = 24
c) y^2 = 15^2 + 8^2 (Pythagoras theorem)
y = *square root of* 15^2 + 8^2
y = 17
1/3 = 17/z
z = 17 * 3 (cross multiplication)
z = 51
What is the (10) for?
Answer:
2(10) is implied multiplication
Step-by-step explanation:
( 18+2) + 2(10) ÷4 -2
PEMDAS
Parentheses first
( 20) + 2(10) ÷4 -2
Then exponents ( we have none)
Then multiply and divide from left to right
20 + 20÷4 -2
20 + 5-2
Then add and subtract from left to right
25 -2
23
2(10) is implied multiplication
Answer:
23
Step-by-step equation
(18+2)+2(10)÷4-2
20+20÷4-2
20+5-2
25-2
23
pls help with this word problem !!
Answer:
4 inch
Step-by-step explanation:
given that the ratio of the floor plan with that of the actual measurement =
1 inch : 2 feet....................(1)
so we have to find the length of the house on the floor plan if the actual measurement is 8 feet.
using eq (1), we can say that the length on the floor plan will be half of the actual length.
therefore if the actual length of the house is 8 feet, then
length of the house on the floor plan = 8/2
= 4 inch
Answer:
We need 4 inches
Step-by-step explanation:
We can use ratios to solve
1 in x inches
---------- = -------------
2 ft 8 ft
Using cross products
1 * 8 = 2 x
Divide each side by 2
8 /2 = 2x/2
4 = x
We need 4 inches
On a coordinate plane, a curved line with minimum values of (negative 0.8, negative 2.8) and (3, 0), and a maximum value of (1.55, 10.8), crosses the x-axis at (negative 2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0). Which interval for the graphed function contains the local maximum? [–3, –2] [–2, 0] [0, 2] [2, 4]
Answer:
(0,2)
Step-by-step explanation:
So C
The correct option is option C: [0,2] contains the local maximum.
What is the local maximum?Local maximum is the relative maximum point where it is maximum within the neighborhood of that point.
From the graph shown in the picture, it is clear that,
the curved line touches the x axis at the point R(-2.5, 0), O(0, 0), and Q(3, 0).
similarly, the curved line touches the y-axis at O(0,0).
the graph has local minima at P(-0.8,-2.8) and Q(3, 0).
So the graph is below the x-axis between the point (-2.5, 0), (0, 0).
the graph has local maxima at S(1.55,10.8).
So the graph is above the x-axis between the point (0, 0), and (3, 0).
so the local maximum occurs at S(1.55,10.8).
From the option, it is clear that the point (1.55,10.8) lies in the interval [0,2].
Therefore [0,2] contains the local maximum.
Learn more about local maximum
here: https://brainly.com/question/2193816
#SPJ2
write an equation of the perpendicular bisector of the segment joining a(-2,3) and b(4,-5).
A) 3x+4y=7 B) 3x-4y=-7 C) 3x-4y=7 D) -3x-4y=7 E) 4x-3y=7
Answer:
C) 3x - 4y = 7
Step-by-step explanation:
The midpoint of AB is
M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)
Line AB has slope:
(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3
Slopes of perpendicular lines are negative reciprocals.
A perpendicular to line AB has slope 3/4.
The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.
[tex] y - y_1 = m(x - x_1) [/tex]
[tex] y - (-1) = \dfrac{3}{4}(x - 1) [/tex]
[tex] y + 1 = \dfrac{3}{4}(x - 1) [/tex]
[tex] 4y + 4 = 3(x - 1) [/tex]
[tex]4y + 4 = 3x - 3[/tex]
[tex]3x - 4y = 7[/tex]
Answer:
C
Step-by-step explanation:
Segment joining a and b
m = 8/(-6) =-4/3
For that of the perpendicular bisector...
m = 3/4
Midpoint of Segment joining a and b
([-2+4]/2 , [3-5]/2)
=(1, -1)
y=mx+c
-1=(3/4)(1)+c
c= -7/4
y=3x/4 - 7/4
4y=3x - 7
3x-4y = 7
7. If 10 men can build a house in 90 days, how
many men can build a home in 20 days?
A) 18
B) 36
C) 45
D) 180
Answer:
2.222.........
Step-by-step explanation:
10 : 90
x : 20
cross multiply
10 x 20 = 90x
200 = 90x
both divide by 90
x = 2.2222.......
whats the squareroot of 144 needs to be simplified
Answer:
12
Step-by-step explanation:
The square root of any number is basically asking "what number multiplied by itself will equal this number?"
Usually you memorize these, but there's also a quick way to do it.
We know that [tex]10\cdot10=100[/tex], so the square root must be greater than 10.
We also know that [tex]15\cdot15=225[/tex], so the square root must be less than 15.
A good mid point between these numbers is 13. Let's see what 13 squared is:
[tex]13\cdot13=169[/tex]
So it's a bit less than 13. Let's try 12.
[tex]12\cdot12=144[/tex]
So 12 is the square root of 144.
Hope this helped!
Answer:
[tex]\huge\boxed{\sqrt{144}=12}[/tex]
Step-by-step explanation:
[tex]\begin{array}{c|c}144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}\\\\144=2\cdot2\cdot2\cdot2\cdot3\cdot3=2^2\cdot2^2\cdot3^2\\\\\sqrt{144}=\sqrt{2^2\cdot2^2\cdot3^2}=\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt{3^2}=2\cdot2\cdot3=12\\\\\text{Used}\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\sqrt{a^2}=a\\\\\text{for}\ a\ge0,\ b\geq0[/tex]
Please answer this question now
Answer:
25.13
Step-by-step explanation:
Answer:
C ≈ 25.13 feet
Step-by-step explanation:
A = πr²
16π = πr²
divide by π
16 = r²
r = 4
plug r into circumference equation:
C = 2πr
C = 2π(4)
C ≈ 25.13
hope this helps :)
PLZ HELP ME!!!! I NEED THE ANSWER QUICK SO IM GIVING BRAINLIEST TO THE FASTEST AND BEST ANSWER.
Answer:
f(x) = 8(1/2)^x.
Step-by-step explanation:
According to the graph, there is a point at (0, 8) and (1, 4).
That means that when x = 0, y = 8.
8 = a(b)^0
1a = 8
a = 8
That means that a = 8, and when x = 1, y = 4.
4 = 8(b)^1
4 = 8b
8b = 4
b = 4/8
b = 1/2
So, f(x) = 8(1/2)^x.
Hope this helps!
7x-y= 22
4x + 2y = 10
can someone help plz?
Answer:
x = 3
y = -1
Step-by-step explanation:
Based on the fact that our have two variables and two equations, I'm going to assume you are trying to find the values of x and y.
For these two equations, let's first find the value of x using the equation elimination method.
We're going to eliminate the y variable by multiplying the first equation by 2 and then adding that new equation to the second equation.
7x - y = 22 ==> 14x - 2y = 44
4x + 2y + (14x - 2y) = 10 + (44)
18x + 0y = 54
x = 3
Now we plug the value of x back into one of the equations to find the value of y.
7x - y = 22
7(3) - y = 22
-y = 22 - 21
y = -1
So our values are as follows:
x = 3
y = -1
Cheers.
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
134
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)
x = 1/2 ( m DH + m BC)
x = 1/2 (144+ 124)
x = 1/2 ( 268)
x = 134
Your skateboard ramp is 2 3/8 feet high. Your friend's skateboard is 2 2/5 feet high. which skateboard is higher?
Answer:
2-3/8 = 2.375
2-2/5 = 2.4
2.4 - 2.375 = 0.025
Your friend's skateboard ramp is 0.025 foot higher
than your skateboard ramp is.
That's about 1.1% higher . . . 0.3 inch, or about 7.62 milometers.
.
4 pumps can fill 800l of water in 20 min. In how many
minutes will 12 pumps fill 600l of water?
a) 6 min b) 5 min
c) 4 min d) 8 min
Answer:
Step-by-step explanation:
One pump will fill 200l in 20 minutes
So the rate of filling per pump will be 10l/minute (200/20)
Let the number of minutes it will take to fill the 600l be x minutes
Now, since the rate of filling per pump is 10 l/minute
Then in x minute, they would have filled 10l/minute * x = 10x liters
So it is now this 10x liters that will be equal to 600
To find x, we simply divide
10x = 600
x= 600/10
x = 6 minutes
algebraic expression twice the difference of a number and 5. with x being "a number"
Answer:
2(x-5)
Step-by-step explanation:
Answer:
the answer to your question is 5xa^2
or you can use symbolab calculator online
Which expression is NOT equivalent to 24 + 18?
Submit Answer
6(4+3)
2(12 +9)
3(8+6)
2(12 + 18)
EasyAnswer:
Step-by-step explanation:
can any one help me in this..???? please
Answer:
(i) a1/a2 =/ b1/b2
(ii) a1/a2=b1/b2 =/ c1/c2
(iii) a1/a2=b1/b2=c1/c2
Step-by-step explanation:
=/ means not equal to.
graphical repesentation of
1.intersecting lines
2.coincident lines
3.parallel lines
a1/a2 and next two slots is basically dividing the coefficents if each equation.
for eg. 1. a1/a2= 2/4=1/2 and so on.
parallel lines are inconsistent whereas intersecting and coincident lines are consistent.
Sandy had test scores of 20, 25, 17, 22, and 21. What is the average (mean) score. On the next 3 test Sandy's score were 24, 24, and 23. What is her mean now?
Answer:
a) First Average mean = 21
b) Current mean = 22
Step-by-step explanation:
Formula For mean =
Sum of Terms/ Number of terms
a)Sandy had test scores of 20, 25, 17, 22, and 21.
Number of terms = 5
Mean = (20 + 25 + 17 + 22 + 21)/5
= 105/5
= 21
b) On the next 3 test Sandy's score were 24, 24, and 23
To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.
Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8
Mean = 176/8
Mean = 22
factorize
please
help
me
[tex]a {}^{2} - 4b {}^{4} [/tex]
Answer:
[tex](a+2b^{2} )(a-2b^2)[/tex]
Step-by-step explanation:
You have what is called "perfect squares" so you can use the "difference of squares formula to factor:
[tex]a^2-b^2=(a+b)(a-b)[/tex]
So,
[tex]a^2-(2b^2)^2[/tex]
you can work the equation backward now and you will get your original equation.
Can someone please help!
Plot point F where angle alpha is located.
Triangle ABF has two interior angles x and 80. They add to the exterior angle alpha due to the remote interior angle theorem.
alpha = x+80
Answer: Choice DEvaluate: (4*3) * 5 + 15 + 6^2
Answer:
[tex]\huge\boxed{111}[/tex]
Step-by-step explanation:
Use PEMDAS:
[tex](4*3)*5+15+6^2\\\\\rightarrow 4 * 3 = 12\\\\12 * 5 + 15 +6^2\\\\\rightarrow 6^2=36\\\\12*5+15+36\\\\60+15+36\\\\75+36\\\\\boxed{111}\\\\\text{Hope this helps!}[/tex]
what is (-3) + (-8)
Answer:
[tex]\huge \boxed{-11}[/tex]
Step-by-step explanation:
[tex](-3)+(-8)[/tex]
[tex]\sf Factor \ negative \ sign.[/tex]
[tex]-(3+8)[/tex]
[tex]\sf Add.[/tex]
[tex]-(11)[/tex]
Step-by-step explanation:
[tex]( - 3) + ( - 8) \\ \\ remove \: unecessary \: parantheses \\ - 3 - 8 \\ = 11[/tex]
What value of x is in the solution set of 2(3х – 1) > 4х – 6?
—10
-5
—3
-1
Help me
Answer:
-1
Step-by-step explanation:
2(3х – 1) > 4х – 6
Distribute
6x -2 > 4x-6
Subtract 4x from each side
6x-2-4x > 4x-6-4x
2x-2 > -6
Add 2 to each side
2x-2+2> -6+2
2x> -4
Divide by 2
2x/2 > -4/2
x > -2
The number is greater than -2
The only number that is greater than -2 is -1
Find the 20th term of the following sequence. -6, -4, -2, 0
Answer:
32.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 = -6 and common difference 2.
an = a1 + d(n - 1)
a20 = -6 + 2(20-1) = 32