Answer:
£30
Step-by-step explanation:
→ Model the situation in terms of x
Richard = x, Natasha = 3x and Krutika = 6x
→ Now put the values into ratio form
6x : 3x : x = 50
→ Collect the x terms
10x = 50
→ Divide both sides by 10 to isolate
x = 5
→ Substitute x = 5 into Krutika
6 × 5 = 30
Answer:
£30
Step-by-step explanation:
Let's break down the information given to help us find how much Krutika gets.
"Natasha gets three times as much as Richard" - We can express the value that Natasha gets as [tex]3r[/tex] in terms of what Richard gets.
"Krutika gets twice as much as Natasha" - We can express this as [tex]2(3r)[/tex] which equals [tex]6r[/tex].
We know that the total money is £50, so we can write the equation:
[tex]r+3r+6r=50[/tex]
[tex]10r = 50[/tex]
[tex]r=5[/tex]
∴ Richard gets £5.
Since the money Krutika gets can be expressed as [tex]6r[/tex]:
[tex]6(5) = 30[/tex]
∴ Krutika gets £30.
Hope this helps :)
The balance in Alex's bank account is $675. The account
earns 6% simple interest calculated twice per year. If Alex
makes no deposits or withdrawals for 2 full years, the
balance in his account (rounded to the nearest dollar) will
be -
Select one:
O
$852
$715
$837
$756
Answer:
$852
Step-by-step explanation:
From the given question, the following are given:
Present value, PV = $675
Rate, r = 6% = 0.06
Number of years, n = 2 years
Number of times per year, m = 2
The balance in his account is the future value (FV), so that;
Future value = PV[tex](1+r)^{nm}[/tex]
= 675[tex](1+0.06)^{(2*2)}[/tex]
= 675 x 1.26248
= 852.174
Future value = $852
Thus, the balance in Alex's account would be $852.
Emilio has 2 quarters, 4 dimes, 3 nickels and 5 pennies. How much money does Emilio have in all?
Answer:
$1.10
Step-by-step explanation:
What we know:
Emilio has 2 quarters, 4 dimes, 3 nickels, and 5 pennies.
Quarters = 0.25 * 2
Dimes = 0.1 * 4
Nickels = 0.05 * 3
Pennies = 0.01 * 5
$0.50 + $0.40 + $0.15 + $0.05
$0.90 + $0.20 = $1.10 in total
pls helppp
math work
bleh
Answer:
m = -10
Step-by-step explanation:
>:)
Answer:
m= -10
Step-by-step explanation:
2< -7 - (-10)
2< -7 + 10
2< 3
Kia has 4 necklaces , 7 bracelets ,and 5 rings to bracelets
Answer:
What are you asking?
Step-by-step explanation:
What’s point B’
What’s point C’
After being dilated by a scale factor 1.5?
Given:
The given figure is dilated by a scale factor 1.5.
To find:
The coordinates of B' and C'.
Solution:
If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is
[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]
From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).
The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is
[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]
[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]
[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]
[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]
Using this rule, we get
[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]
[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]
[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]
And
[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]
[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]
[tex]C(-2,2)\to C'(-6,-6)[/tex]
Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).
The expression ( x − 12 ) is a factor of x 2 + p x − 48 . What is the value of p ?
Answer:
p = -8
Step-by-step explanation:
Since, (x - 12) is a factor, then;
x - 12 = 0
x = 12
substitute the value of x in the equation
[tex]x^{2}[/tex] + px - 48 = 0
[tex](12)^{2}[/tex] + 12p - 48 = 0
144 + 12p -48
12p = -144 + 48
12p = -96
p = -8
So that,
[tex]x^{2}[/tex] +-8x - 48 = 0
[tex]x^{2}[/tex] -12x + 4X- 48 = 0
([tex]x^{2}[/tex] -12x) + (4X- 48)
X(X - 12) + 4(X - 12)
(X - 12) (X + 4)
Therefore, p = -8 and (X - 12) (X + 4) are factors of the equation.
can someone help me please?
The base of tyler's cabin is a 56 feet by 78 feet rectangle. What is the area of the base of tyler's cabin?
Strategy:
why did you choose this strategy:
======================================================
Explanation:
Check out the diagram below
I drew a rectangle with dimensions 56 ft by 78 ft.
Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8
The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point
In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)In the upper right corner, we have an area of 70*6 = 420In the lower left corner, we have an area of 50*8 = 400In the lower right corner, we have an area of 6*8 = 48Add up all the areas found: 3500+420+400+48 = 4368
As a way to check, using your calculator shows that 56*78 = 4368
16-2<5
solveeeeee itttttt
[tex]b-2<5\\b<5+2\\b<7[/tex]
Therefore, the answer is b < 7.
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Answer:
y=3x+2
Step-by-step explanation:
Answer:
y=3x+2
Step-by-step explanation:
facts: slope is m, and b is y-intercept
y=3x+2
hope this helps!
Write the slope of a line perpendicular to y=-6x+4. Explain why it is perpendicular
Answer:
1/6 is the slope since you have to flip it
Step-by-step explanation:
Answer:
The slope of a line perpendicular to the equation is 1/6 or x/6.This is perpendicular because it is the reciprical of the other equation
Step-by-step explanation:
y=-6x+4.
the slope intercept form is y=mx+b
m is the slope
m=-6
for the equation to be perpendicular then the slope is the reciprical
Knowing this lets find a line perpendicular to this equation
Equation:
y=1/6x+2/3
or
y=x/6+2/3
What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?
Answer:
y = -6x + 7
Step-by-step explanation:
In this question, we need to find the equation of a line with the given information.
We know that the line passes through (2, -5).
We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.
To make it simpler to understand, we can change the equation into slope format:
y = -6x + 6
This means that our new line should have a slope of -6.
With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.
Plug in your slope and coordinates to the y = mx + b equation and solve for b:
-5 = -6(2) + b
-5 = -12 + b
Add 12 to both sides.
7 = b
Our y-intercept would be b.
Now, we can plug in all our information to get our new equation:
y = -6x + 7
Your answer would be y = -6x + 7
I'll give 15 points for this question
Answer:
4. Is 6 eggs
5. Is 7 eggs
Step-by-step explanation:
help. answer is not D
Answer:
It would be C or B
Step-by-step explanation:
can't be A because A is 0 and there is no way you could be able to draw 0 lines so it would most likely be C
At a real estate agency, an agent sold a house for $396,000. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
$29,700 and $79,200
Step-by-step explanation:
Step one:
given
The selling price of the house is $396,000
The commission rate is 7.5% for the real estate agency
The commission rate for the agent is 20%
Step two:
1. How much did the agency make on the house?
This amount is 7.5% of $396,000
= 7.5/100*396,000
= 0.075*396,000
=$29,700
2. How much did the agent earn in commission?
This amount is 20% of $396,000
= 20/100*396,000
= 0.2*396,000
=$79,200
the graph shows the number of calories Natalia burned while running.
What is the slope of the line ?
What does the slope tell you ?
Answer:
slope is y=10x.
Slope shows that she is consistently burning 10 calories per minute
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, If necessary.
$290 for 12ft
Answer:
24.17
Step-by-step explanation:
Answer:
$24.17 per feet
Step-by-step explanation:
290/12=24.1666...
24.16666 rounds to 24.17
PLS HELPPPPPPPPPPP Determine the approximate value of X round to the nearest hundredth
Answer:
Step-by-step explanation:
We can immediately elimate two answers since x cannot be larger than the hypotenuse, which is 9. You can cosine = adjaent/hypotenuse, which gives the equation cos(54) = x/9, which simplifies to x = 9*cos(54). When you plug this into a calculator, you should get 5.29. Keep in mind that 54 is measured in degrees and not radians because.
Answer:
D.) x = 5.29
Step-by-step explanation:
first find the last angle measure 180-90-54=36
use law of sines to find x
sin90/9=sin36/x
(sin90)(x) = (sin36)(9)
(sin90)(x) = 5.29
x = 5.29
Which statement is true?
1
3
(
n
+
3
)
=
1
3
n
+
3
1 third times open paren n plus 3 close paren is equal to 1 third n plus 3
1
3
(
n
+
3
)
=
1
3
n
+
1
1 third times open paren n plus 3 close paren is equal to 1 third n plus 1
1
3
(
n
+
3
)
=
1
3
n
+
3
1
3
1 third times open paren n plus 3 close paren is equal to 1 third n plus 3 and 1 third
1
3
(
n
+
3
)
=
1
3
n
+
4
3
Answer:
the answer is they are the same
Answer:
yes
Step-by-step explanation:
explanation: yes
me: yes
you: yes
others: yes
john cena: no :)
confusion confusion
confusion confusion
plz help it’s the pythagorean theorem
Write 24 as a product of primes.
Use index notation when giving your answer.
Answer:
2^3 * 3
Step-by-step explanation:
Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23
To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.
This is much easier to do than it sounds like in this explanation.
Start with 24.
24/2 = 12
12/2 = 6
6/2 = 3 3 is not divisible by 2, so we move on to 3.
3/3 = 1 We got to 1, so we are done.
The prime factorization is the product of all the prime numbers we divided by which are in bold.
24 = 2 * 2 * 2 * 3
Now we index it:
24 = 2^3 * 3
Victoria created the scatterplot below based on the data in the table for the ages and heights of some teachers in her school. Teacher Age vs. Height Teacher Age Height (in.) 1 36 62 2 28 70 3 50 60 4 44 72 5 58 68 6 24 65 A graph titled Teacher Age versus height has age on the x-axis and height (inches) on the y-axis. Points are at (22, 66), (28, 70), (35, 62), (42, 72), (60, 50) and (59, 69). She wants to see if a teacher’s height depends on his or her age. What did she do wrong when she created the scatterplot? She mixed up the independent and dependent variables. She labeled the x-axis of the scatterplot “Age” when she should have labeled it “Teacher.” She plotted the point (36, 62) when she shouldn’t have. She mixed up the x- and y-coordinates of the point representing teacher 3.
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I took the test and got 100%.
A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?
A. 20 miles
B. 180 miles
C. 200 miles
D. 10 miles
PLS HELP ME LIKE NOW PLS!?!
Answer:
B
Step-by-step explanation:
9x20=180
How is speed similar to solving for time?
To get the speed of something you would have to sole for s=d/t (speed equals distance over time)
I’ll love you forever if you help me with this ASAP PLEASE
Answer:
y = 4
or (0, 4)
Step-by-step explanation:
intersecting the y-axis is basically when x is equal to 0.
1.5(0) +4.5y = 18
y = 4
So your y-intersect is (0, 4) and thats when it intersects the y-axis.
How many students voted for each
participant?
Answer:
12 people voted for Matthew and 18 people voted for Diana.
Step-by-step explanation:
1. Multiply 30 by 0.4 to get 12.
2. Subtract 12 from your total of 30. The remaining 18 votes belong to Diana.
39/9 as a repeating decimal
Answer:
4.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
just do it
Use the sketch tool to indicate what Edwin is describing as the parabola's "turning point."
Answer:
The sketch tool to indicate what Edwin is describing as the parabola's "turning point'' is described below in details.
Step-by-step explanation:
We can see in graph that it intersect X axis and it is open upward it means turning point is below X axis, we can find turning point by find maximum value of Y If open downward and minimum value, if open upward here we can find that minimum point is (3, -5). also you can draw axis of symmetry parabola and finds its intersection with turning point can also be named vertex of parabola.
a boat used 1/24 of a gallon of gas to drive 1/3 of a mile.At this rate how many miles can the boat go using 1 gallon of gas.
The answer is:
8 miles
PLEASEEEEEEEEEEE NO ONE IS HELPING ME!!!!!!!!
George was writing a paper for English class. He has already written 1 complete page. He plans on writing his paper at a rate of 2 pages per hour. Show all work and explain your answers clearly. Use complete sentences.
How many pages will George have written after 3 hours?
Answer:
George would have 7 pages complete
Step-by-step explanation:
Since he has 1 paper complete now and after 3 hours he would have 7 since 3x2=6 and 6+1=7
Help please 25 Points + Brainliest
x=6 y=4 solve 3x^2y+4x/y
Answer:
114. There is something wrong with the options im 100% sure its 114 talk to your teacher.
The solution is just to substitute