Answer:
✑ [tex] \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} : [/tex]
Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = [tex] \sf{ \frac{30}{40} = \frac{3}{4} = 3:4}[/tex] and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : [tex] \sf{ \frac{a}{b}} [/tex] is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.
✎ [tex] \underline{ \underline{ \sf{Now \: let's \: solve : }}}[/tex]
☪ [tex] \underline{ \sf{Solution}} : [/tex]
£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.
Then , According to the question , [tex] \text{5x +2x = 21}[/tex]
Solve for x :
⇝ [tex] \sf{7x = 21}[/tex]
⇝ [tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]
⇝ [tex] \sf{x = 3}[/tex]
The value of x is 3. Now , substitute the value of x in 5x :
Amy received £ 5x = 5 × 3 = £ 15 .
☥ [tex] \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ♡
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Hey guys I really need help on this one!
Plzzz helppppp !!!!! Write this as an equation that represents the function
Step-by-step explanation:
y = mx + c
When x = 0, y = 2.
=> (2) = m(0) + c, c = 2.
When x = 3, y = 8.
=> (8) = m(3) + 2, 3m = 6, m = 2.
Hence the answer is y = 2x + 2.
help is need! look at the question
Answer:
Yes
Step-by-step explanation:
Plug in the numbers: 3≤3-2(0)
3≤3-0
3≤3
The manager of a movie theater wants to know the number of adults and children who go to the movies. The theater charges $8 for each adult and $4 for each child. At a showing where 200 tickets were sold the theater collected $1304.
How many adult tickets were sold.?
please hellp find x y and z
Answer:
angle x = 98
angle y = 82
angle z = 82
Step-by-step explanation:
angle y + 98 = 180; therefore, angle y = 82 degrees
angles z and y are alternate interior angles and are congruent (equal)
angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)
please help me on this! will give u brainliest tyy.
Answer:
A. The balloon is at its initial height
B. The boxer is 0 pounds from her starter weight
C. The company's size is smaller
Step-by-step explanation:
For A, -30+30 is equal to 0 so its gonna be the same height it was before.
For B, Gaining 7 pounds and losing 7 pounds means you are neither bitter or smaller. (-7+7=0)
For C, Losing 15 employees and gaining none means that there are less than there were previous meaning the company is now smaller.
Hope this helps.
Maurice has completed 64 pages of the research paper he is writing. That is 80% of the required length of the paper. What is the required length of the paper?
Answer:
80 pages
Step-by-step explanation:
Let the required length of paper = x
Hence:
80% of x = 64 pages
80/100 × x = 64 pages
80x /100 = 64 pages
Cross Multiply
80x = 100 × 64 pages
x = 6400/80
x = 80 pages
Therefore, the required length of the paper = 80 pages
.
Given the Statement
if two
Angles are right angle
then they are
Congruent .Write the Converse
and State
if the Converse is true or false.
Answer:
- If two angles are congruent, then they are right angles.
- It is true
Step-by-step explanation:
The given statement is;
If two angles are right angles, then it is said that they are congruent.
Now, from converse, inverse and contrapositive statements, we can say that if the conditional statement is given as "if x, then y", it means that the converse statement will be written as;
"If y, then x".
We just switched the hypothesis with the conclusion.
Therefore, the converse of the statement given in the question is:
If two angles are congruent, then it means they are right angles.
The original statement and the converse statement are equivalent, therefore the converse is true.
Plzzzz plzzz plzzz ps keiskskks
Answer:
42
Step-by-step explanation:
x/6=7
x=42
Answer:
42 should be the answer
Step-by-step explanation:
x ÷ 6 = 7
x ÷ 6 x 6 = 7 x 6
x = 42
During the summer, you had an ice cream cone with
your friends almost every day. Your parents bought
a half gallon of ice cream for $4.75. It was on
Sale for 15% off. What was the sale price?
Answer:
$4.04
Step-by-step explanation:
Since the ice cream is 15% off, that means you will have to subtract 0.15 from 1, since 1 is 100%, and 0.15 is 15%. If you do the math, then you will get 0.85, which translates to 85%. So now that we have found the percentage of the original price that we have to pay, we can do some more advanced calculations. Since we found the 1 - 0.15 = 0.85, we will multiply the original price, which is $4.75, by 0.85. You can do this by hand or by calculator. You will get 4.0375, which is your answer. Since this is about money, you will have to add a $ sign at the beginning, which would be $4.0375. Of course, you can't pay a percentage of a cent, so you would have to round that up to $4.04. In conclusion, the sale price of the half-gallon of ice cream is $4.04.
Please mark as Brainliest!!!Zahra completed a 5-kilometer race in 40 minutes. If she were able to keep the same pace, how many kilometers could she run in 72 minutes? 6 7 8 9
Answer:
9
Step-by-step explanation:
you can set up a proportion for it (i included a picture of it)
Answer:
I am just doing this to confirm the other person is right. It is 9.
Step-by-step explanation:
1) work out the size of angle x
2) give reasons for your answer
Find the coordinates of the vertices of each figure after the given transformation.
1) translation: (x, y) = (1 + 1, y - 5)
D(2.0), E(1.2), F(2.3). G(4,2)
A) D(-1, 1), E(-2, 3), F(-1,4), G(1,3) B) D(-4,-1), E(-5, 1), F(-4,2), G(-2, 1)
C) D(3,-5), E(2, -3), F(3,-2), G(5,-3) D) D(-4,1), E(-5,3), F(-4,4), G(-2,3)
ОА
О.
B
С
O
O
D
HELP PLEASE
1. (03.08)
Solve x2 + 2x + 9 = 0. (2 points)
Ο χ= -2412
X= -2+212
Ο Ο Ο Ο
χ= -14412
Ο χ= -14 21 2
Answer:
Step-by-step explanation:
if we are supposed to solve [tex]x^{2}[/tex] + 2x + 9 = 0 there here is the solution
using the quadratic formula
= (-2 ± [tex]\sqrt{2^{2}-4*9 }[/tex] )/2
= (-2 ± [tex]\sqrt{-32}[/tex]) / 2
= (-2 ± i [tex]\sqrt{16*2}[/tex])/2
= (-2 ± i 4[tex]\sqrt{2}[/tex])/2
= -1 ± i 2[tex]\sqrt{2}[/tex]
complex number land :)
5.
In the given right triangle, find the missing length to the nearest tenth.
A. 25 ft
B. 24.1 ft
C. 8.5 ft
D. 7.9 ft
Answer:
The answer is A. 25 ft
Step-by-step explanation:
Given a=24 and b=7,
c = 25
∠α = 73.74° = 73°44'23" = 1.287 rad
∠β = 16.26° = 16°15'37" = 0.28379 rad
h = 6.72
area = 84
perimeter = 56
inradius = 3
circumradius = 12.5
A cookie recipe states for every 3 cups of flour, 1.5 teaspoons of vanilla are
needed. How many teaspoons are needed for 5 cups of flour? Answer as a
decimal and without units. *
Answer:
2.5 Teaspoons of vanilla are needed.
Step-by-step explanation:
If 3 cups of flour is 1.5 teaspoons of vanilla. 1.5 /3=.5 Meaning there is .5 teaspoons of vanilla per cup of flour.
If you have 5 cups of flour 5 x .5= 2.5 (teaspoons)
Find the circumference of a circle with a radius of 4 units.
Answer:
image?
Step-by-step explanation:
write an exponential function in the form y=ab^x 0,6 2,96
Answer: y = 20*4^x
Step-by-step explanation:to find the value of the constants a and b, we just need to use the points given in the equation and solve the system of equations:
point (0,20): x = 0 and y = 20:
20 = a*b^0 = a*1 = a
a = 20
point (2,320): x = 2 and y = 320
320 = 20 * b^2
b^2 = 16
|b| = 4
b = 4 or b = -4
So we have two exponencial equations that pass through these points:
y = 20*4^x and y = 20*(-4)^x
As the questions asks for just one equation, we can answer y = 20*4^xIf you have two points, (x1, y1) and (x2, y2), you can define the exponential ... these points by substituting them in the equation y = abx and solving for a and b. ... In this form, the math looks a little complicated, but it looks less so after you ... Taking 1910 as the starting point, this gives the pair of points (0, 1.75) and (100, 6.87). which well turn out to be y=6(4)^x
Write a unit rate for the situation.
$100 donated for every 5 volunteers
PLZZZ I NEED HELP
Answer:
50 dollors
Step-by-step explanation:
Set up this equation. There are 20 animals in my house. Some are cats and some are ducks. There are 72 legs in all. *
Answer:
System of equations:
x + y = 20
2x + 2y = 72
Step-by-step explanation:
$121 is 16% of what?
Answer:
13.22%
Step-by-step explanation:
Find 25% of 108 grams.
Answer:
27 Grams
Step-by-step explanation:
At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles? *
Answer: 3.4%
Step-by-step explanation:
divide 258 and 74 then round that answer to the nearest tenth place.
Answer: 28.7%
Step-by-step explanation:
74 ÷ 258 = 0.2868
0.2868 ---> 28.68 ---> 28.7%
plzzzzzzzzzzzzzzzzzzzzzzz
Answer:
18x to the power of 2 -15x+2
Step-by-step explanation:
PLEASE HELP ME!!!!!! I really need help!
Answer:
2 to 6, 3 to 9, and 4 to 12
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPP
Felix worked at a music shop during the summer. The table below shows some of Felix’s hours and earnings. The amount of money he earned is proportional to the number of hours he worked.
2. Let x represent the number of hours he worked, y represents the amount of money he earned.Write an equation that represents this relationship.
3. If Felix worked 180 hours, then how much money did he earn?
Answer:
2. y=9x
3. 180*9 = 1620
Step-by-step explanation:
2. y = mx+b, so find the slop efirst
lacampanella avatar
so take the first two points you got
lacampanella avatar
(2,18) and (5,45),
lacampanella avatar
(45-18)/(5-2) = 9
lacampanella avatar
then use (2,18)
lacampanella avatar
18= 9*2+b
lacampanella avatar
so b=0
3. y = 9x
x= 180. y = 9*180 = 1620
(0, 4) and (4,0)
Rate of Change:
b=
Answer:
b=4
Step-by-step explanation:
Find the slope from the table.
Calories Burned
Minutes
0, 10, 20, 30
Calories
0, 50, 100, 150
Answer:
5 is the slope
Step-by-Step Explanation:
(10, 50) x1 and y1
(20, 100) x2 and y2
[tex]\frac{100-50}{20-10}[/tex]=[tex]\frac{50}{10}[/tex]
50÷10=5
If this helped you make sure to make my answer brainliest. Thank you.
pls help with my math
Answer:
∠RTS = 57°
x=9
Explanation:
By just factoring out integers starting from 10 and going down. You can factor each one out. Add all together. And see whether all angles equal 180. And if they do. Then that's what x equals. Not the smartest of explanations but it works lol.
f(x) = x^2+ 2x-5
g(x) = 3x^2-4x+1
What is f(x) - g(x)?
A) [tex]-2x^2-2x-4[/tex]
B) [tex]-2x^2+6x-6[/tex]
C) [tex]4x^2-2x-4[/tex]
D) [tex]4x^2+6x-6[/tex]
Answe
Step-by-step explanation:
B