Answer:
Becky's age is equal to 20.
Step-by-step explanation:
The given expression is :
(7+11)-(8÷2)
Using Bodmas rule to solve it furthur,
(18)-4 = 14
According to the given condition, let the age is A.
The value is 6 less than her age,
14 = A-6
or
14+6 = A
A = 20
Hence, Becky's age is equal to 20.
Which scenario could be represented by the algebraic expression n minus 13?
A woman invested 4 times much at 4% as she did at 9%. The total amount of interest she earns in 1 year from both accounts is $500. How much did she invest at each rate?
Answer:
$2,000 at 9%
$8,000 at 4%
Step-by-step explanation:
(4x * .04) + (x * .09) = 500
.16x + .09x
.25x = 500
x = $2,000 at 9%
4x = $8,000 at 4%
Answer:
2000 at 9%
8000 at 4%
Step-by-step explanation:
Let the principle at 9% = x
The principle at 4% = 4*x
Together they give 500 dollars.
9% = .09
4% = ,04
Both are invested for 1 year
0.09 * 1 * x + 0.04 * 1 * 4x = 500
0.09x + 0.16x = 500
0.25x = 500
x = 500 / 0.25
x = 2000
She invested 2000 at 9%
She invested 4 * 2000 at 4%
after reading the directions to paint,on the paint drum, the information indicated two coats of paints is required when using the 5 liter paint and one coat with the 20 liter drum. With both paints 1 litre of paint covers 9 meter squared.
There are 28 rooms to be painted.Show with calculations which will be cheaper paint to buy
A rectangle has vertices E(4,8), F(2,8), G(2,-2) and H(-4,-2). The rectangle is dilated with the origin as the center of dilation so that G's is located at (5,5). Which algebraic reprensentation represents this dilation
Note: The image of G after the dilation must be G'(5,-5) instead of G'(5,5).
Given:
The vertices of a rectangle are E(4,8), F(2,8), G(2,-2) and H(-4,-2).
The rectangle is dilated with the origin as the center of dilation so that G's is located at (5,-5).
To find:
The algebraic representation that represents this dilation.
Solution:
If a figure is dilated by factor k with origin as the center of dilation, then the dilation is defined as:
[tex](x,y)\to (kx,ky)[/tex] ...(i)
Let the given rectangle is dilated by factor k with origin as the center of dilation. Then,
[tex]G(2,-2)\to G'(k(2),k(-2))[/tex]
[tex]G(2,-2)\to G'(2k,-2k)[/tex]
The image of G after dilation is G'(5,-5). So,
[tex](2k,-2k)=(5,-5)[/tex]
On comparing both sides, we get
[tex]2k=5[/tex]
[tex]k=\dfrac{5}{2}[/tex]
So, the scale factor is [tex]k=\dfrac{5}{2}[/tex].
Substituting [tex]k=\dfrac{5}{2}[/tex] in (i), we get
[tex](x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)[/tex]
Therefore, the required algebraic representation to represents this dilation is [tex](x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)[/tex].
The cost of 5 kg of mangoes is rupees 147. At what rate per kg are the mangoes
being sold.
Step-by-step explanation:
the cost of 1 kg mangoes = 147/ 5
= Rs. 29.40
mark me as brainliest
Answer:
cost of 1 kg mango = rupees 29.4
Step-by-step explanation:
cost of 5 kg mangoes =rupees 147
cost of 1 kg mango =?
Now, lets find cost of 1 kg mangoes
CP od 1 kg mangoes = cost of 5 kg mangoes/5 kg
=rupees 147/5
=rupees 29.4
I am making two kinds of cookies: chocolate chip and lemon cookies.
(a)
Chocolate Chip Cookies
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
I can make
batches of chocolate chip cookies.
You may use the scratchpad to show your work.
(b) Lemon Cookies
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
I can make
batches of lemon cookies.
You may use the scratchpad to show your work
Enter your answer as a fraction
Uhh sorry to bother again I’ve had no motivation haven’t been paying attention so uh yea
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The chocolate cookies is given as:
Number of chocolate cookies = 5.50 cups / 0.25 cup per cookie = 22
The lemon cookies is given as:
Number of lemon cookies = 5.50 cups / 0.75 cup per cookie = 7
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
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Warm-Up
Construct a perpendicular bisector to PQ
by following these steps.
1. Move the compass center to P and
draw a long arc that intersects PQ.
Then move the compass to Q and
draw an arc that intersects the first
arc in two places.
Note that the perpendicular bisector to line PQ is constructed and attached accordingly. Here is how to do it.
Note that the first stage is to draw a line PQ. But this has already been done.
Next is to place the compass on P as shown in the image above. If you allow you compass (locked at the same degree) to rotate about point P, you will get a circle. However, that is not the objective.
If you also place your compass on point Q, locked to the same degree as when it was on P, and take a rotation around point Q, you will also get a circle.
At some point, you will notice that both circles intersect at two point, which we can call AB₁ and AB₂.
Now you are done with the compass. Take up your ruler, and place it such that it meet both AB₁ and AB₂ but allowing you space to mark a line connecting both points.
Next, using your live or online pencil tool, draw the line from AB₁ to AB₂. Now you have the Perpendicular bisector which you can call AB₁₂.
Note that a perpendicular bisector is a line or plane that intersects a line segment at its midpoint, forming a right angle and dividing the segment into two equal parts.
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what is. perfect square
Answer:
a four sided parallelogram where all angles are the same and all sides are the same length
Please help it's urgent!Need help quick!
Answer:
Solution
Step-by-step explanation:
Hope this helped :)
The equation SA = 6s can be used to calculate the surface area, SA, of a cube with side length S. What is the
surface area, in square meters, of a cube with a side length of 0.5 meter?
How do you know you're good at sleeping I need help
Answer:
You can do it with your eyes closed
Step-by-step explanation:
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
What is the marginal relative frequency of survey participants who are girls?
0.06
0.5
0.43
17
Using it's concept, it is found that the marginal relative frequency of survey participants who are girls is of 0.43.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that there were 2 + 3 + 5 + 4 + 3 + 8 + 2 + 6 + 4 + 3 = 40 participants, of which 17 are girls, hence the relative frequency is given by:
f = 17/40 = 0.425
Which is rounded to 0.43.
More can be learned about relative frequencies at https://brainly.com/question/15164292
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determine whether the given lines are parallel or not right with the reason
Answer:
[tex]AB[/tex] is parallel to [tex]CD[/tex] ([tex]AB ||CD[/tex])
Step-by-step explanation:
In a set of parallel lines cut by the traversal, [tex]\angle AHG[/tex] and [tex]\angle DGH[/tex] are alternate interior angles. In a set of parallel lines cut by a traversal, alternate interior angles are always equal. Therefore, since [tex]\angle AHG=\angle DGH=115^{\circ}[/tex] (they are equal), the lines AB and CD must be parallel.
*A set of parallel lines proves that alternate interior angles are always equal, but the converse is also true in that equal alternate interior angles proves a set of parallel lines. This is because if you changed the angle measure of either of the angles, the relative slope of the lines must change and they would no longer be parallel.
Help plzzzz !!!!!!!!!
De un total de 40 alumnos, a 36 les gusta ir al cine. ¿Cuál es el porcentaje de alumnos a los que les gusta ir al cine?
Answer:
o amar kotay 你最喜歡的動漫,我很抱歉成為你的問題,但你給了你 50 ru 複製你的業務和不歸還的總和,但你給了你我應該有第二個的 y 軸是
The percentage of students who like to go to the movies is 90%.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that of a total of 40 students, 36 like to go to the movies
We can write the percentage of students who like to go to the movies as follows -
{x}% = (36/40) x 100
{x}% = (9/10) x 100
{x}% = 90
Therefore, the percentage of students who like to go to the movies is 90%.
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{
Question in English is given as follows -
Of a total of 40 students, 36 like to go to the movies. What is the percentage of students who like to go to the movies?
}
The heights of 20-year-old females are normally distributed with a mean of 64 inches
and a standard deviation of 2 inches. What is the z-score for a height of 67 inches?
Answer:
1.5
Step-by-step explanation:
Applying,
Z = (x-μ)/σ................. Equation 1
Where Z = Z score for a height of 67 inches, x = height, μ = mean of the height, σ = standard deviation of the height.
From the question,
Given: x = 67 inches, μ = 64 inches, σ = 2 inches.
Substitute these values into equation 1
Z = (67-64)/2
Z = 3/2
Z = 1.5
help please fast 10min left :(
Answer:
The angle corresponding to angle 4 is angle 8
The denominator of a fraction is greater than its numerator by 7. If
the numerator is increased by 1 and the denominator is increased by
4, the fraction becomes 1/3
. Find the original fraction.
Answer:
4/11
Step-by-step explanation:
Let :
x = numerator
x + 7 = denominator [tex]\frac{x}{x + 7}[/tex]
[tex]\frac{x}{x+7} + \frac{1}{4} = \frac{1}{3}[/tex]
[tex]\frac{x + 1}{x + 11} = \frac{1}{3}[/tex]
cross multiply
3(x + 1) = x + 11
3x + 3 = x + 11
combine like terms
3x - x = 11 - 3
2x = 8
x = 4
x + 7 = 4 + 7 = 11
original fraction = 4/11
1. The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter. Find or approximate the time when the object hits the ground. Explain your method.
2.The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
From what height is the object dropped? Explain how you know.
Answer:
Step-by-step explanation:
Let's FOIL this out and get it into standard form. That gives us:
[tex]h(t)=-4.9t^2+490[/tex] For #1, then:
The height of something when it is on the ground is 0; that means that the h(t) is 0. This allows us to factor the quadratic and solve for t:
[tex]-4.9t^2=-490[/tex] and divide both sides by 4.9 to get
[tex]t^2=100[/tex] so
t = 10. Notice that one of the factors for that quadratic is 10 - t. That factor represents the time it takes to hit the ground. So you might ask why, then, we FOILed this out in the first place if the answer was ight in front of our noses. The reason is becase of #2 that is asking us what the initial height of the object was. That is found in the standard form...in the constant in particular. The initial height is 490 m. That's how you know (because the constant represents the height from which an object is dropped in either free fall, which this is, or in parabolic motion).
Answer pls
Maths questions
Attached paper question (Answer pls)
Answer:
25 wanted ice cream 10 wanted coffee 3/5 wanted ice tea^^the question above in the photo
Answer:
11
Step-by-step explanation:
Brainliest for help please please
Answer:
5
Step-by-step explanation:
Multiply -1 on both sides to get rid of the negatives.
4x=20
Divide 4 on both sides
[tex]\frac{4x}{4}[/tex]=[tex]\frac{20}{4}[/tex]
Simplify
x=5
Answer:
5
Step-by-step explanation:
-4x= -20
or, x= -20/-4
or, x=5
David had 74 pennies and then lost 18. Now he wants to buy a treat that costs 2 sevenths of the pennies he has left. How many pennies does the treat cost?
HELP ASAP PLEASEEEEE!!!
Answer:
16 pennies
Step-by-step explanation:
74 - 18 = 56
56 / 7 = 8
1/7 of the pennies is 8 pennies.
2/7 of the pennies are 16 pennies.
Answer:
18 pennies
Step-by-step explanation:
74-18=56
56/7=8
8x2=16
Can someone help me which expression is equal to 16
Answer:
D.(4^1/2)^4
hope this helps
have a good day :)
Step-by-step explanation:
The depth of the water in the container at the beginning of the day on monday was 24 3/4 inches. What was the depth of the water in the container at the end of the day on friday
Answer:
25 1/4 inches
Step-by-step explanation:
Given :
Day ___ Mon ___ Tue ___ Wed ___ Thur ___Fri
△depth _-3/8 ___ - 1/8 ___ 1/2 ____ - 1/4 __ 3/4
Depth of water at the beginning = 24 3/4
Depth of water at the end of Friday:
24 3/4 - 3/8 - 1/8 + 1/2 - 1/4 + 3/4
24 3/4 + (-3/8 - 1/8 + 1/2 - 1/4 + 3/4)
24 3/4 + (-1/2 + 1/2 + 3/4)
24 3/4 + ( - 1/4 + 3/4)
24 3/4 + 1/2
24 + (1 1/4
24+ 1 + 1/4
25 1/4
What is the slope of the line with points of (0,-1)) and (2,3)
Answer:
2
Step-by-step explanation:4divided by 2 =2
Answer:
2
Step-by-step explanation:
[tex]x_{1}=0; y_{1}=-1\\\\x_{2}=2 ; y_{2}=3\\\\Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{3-[-1]}{2-0}\\\\=\frac{3+1}{2}\\\\=\frac{4}{2}\\\=2[/tex]
Why are (1, 2) and (2, 1) sot equal ordered pairs
Answer:
Step-by-step explanation:
(1,2) and (2,1) are not equal ordered pairs becasue their corresponding elements are not equal.
Two Ordered Pairs are said to be equal if the corresponding first components are equal alongside the corresponding second components are equal.
for example:
(3,1) and (3,1)
here corresponding element of 3 is 3 and of 1 is 1 .so they are called equal ordered pairs.
Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?
x = –1, x = 11
x = –1, x = –11
x = 14, x = –26
x = 26, x = –14
Answer:
x = -1 , - 11,
Step-by-step explanation:
| x | = x
|- x | = x
f(x) = 2 | x + 6 | - 4
x = - 1 , f( - 1) = 2 | - 1 + 6 | - 4 = 2 | 5 | - 4 = 10 - 4 = 6 , True
x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False
x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False
x = - 11, f( - 11) = 2 | -11 + 6 | - 4 = 2 | - 5 | - 4 = 10 - 4 = 6 , True
x = 14 , f( 14 ) = 2 | 14 + 6 | - 4 = 2 | 20 | - 4 = 40 - 4 = 36 , False
x = -14 , f( - 14 ) = 2 | - 14 + 6 | - 4 = 2 | - 8 | - 4 = 16 - 4 = 12 , False
x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False
x = 26, f( 26 ) = 2 | 26 + 6 | - 4 = 2 | 32 | - 4 = 64 - 4 = 60 , False
OR
Given f ( x ) = 6
f( x ) = 2 | x + 6 | - 4
6 = 2 | x + 6 | - 4
6 + 4 = 2 | x + 6| - 4 + 4 [ adding 4 to both sides ]
10 = 2 | x + 6 | + 0
5 = | x + 6 | [ dividing both sides by 2 ]
[tex]- 5 =\ ( x+ 6) \ = 5\\\\[/tex] [tex][ \ | x | = a\ => \ -a \ = x \ = a \ ][/tex]
[tex]- 5 - 6 = \ x + 6 - 6 \ = \ 5 - 6\\[/tex] [tex][ \ subtracting \ by \ 6 \ ][/tex]
[tex]-11 = \ x \ = - 1[/tex]
Pls help I have to find the area
Answer:
28 square units
Step-by-step explanation:
The area of a rectangle is A = l x w.
The length of this rectangle is 7 square units.
The width is 4 square units.
7 x 4 = 28 square units
Solve for the answer.
Let x=10
4x + 12=
(A) 0.52
(B) 5.2
(C) 52
Answer:
c 52
Step-by-step explanation:
x=10
4 ×10=40
40+12=52