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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Solve for X.
x+3
4
8
Answer:
First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"
Can you tell me the definition of the highlighted word please in your own words (Thank you)
Answer:
congruent means similar
Step-by-step explanation:
why didnt you just search it up? lol
congruent means that they are perfectly identical.
BRAINLIEST
Like terms of 6ab^2
1. -3ab
2. 2ab^2
3.-6a^2 b^2
4.-5ab^2
5.6ab
Answer:
2nd option is the right answer
What is the area of the football field in the scale drawing? Assume that the field is shaped like a rectangle.
Answer:
i mean might as well get free points now that its 2 weeks old
Step-by-step explanation:
Answer:
Pythagorean Theorem: the diagonal of the football field is the hypotenuse. Let´s say the diagonal is C and the two other sides are A and B.
Width = A
Length = B
Diagonal = C
so: a2+b2=c
2502+1002=c2
2500+10000=c2
12500=c2
c=√12500
c=111.80 yards
Step-by-step explanation:
the ambitous jackle
The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.
Answer:
46,691
Step-by-step explanation:
Given that:
Initial population, P = 51000
Decreasing rate = 1.75% = 0.0175
Time, t = 5 years
Using the relation :
A (t) = Po * ( 1 - r)^t
A(t) population after t years
Po = Initial population figure
r = rate of decrease
A(t) = 51000 * (1 - 0.0175)^5
A(t) = 51000 * (0.9825)^5
A(t) = 51000 * 0.91550937355400390625
A(t) = 46690.9780
Hence, population after 5 years will be : 46,691
A store is having a sale on office
products. Leo buys 4 notebooks that
have a regular price of $3.30 each. They
are on sale for 20% off the regular
price. How much does Leo pay for the
4 notebooks before sales tax?
A $0.66
B $2.64
C$10.56
D $13.20
Answer:
c. $10.56
Step-by-step explanation:
$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64
$13.20 - $2.64 = $10.56
please help me with this
answer choice
This system has infinitely many solutions.
This system has exactly one solution.
This system has no solution.
(5, –28) and (0, 0)
Answer:
the answer is the first one hope this helps
Step-by-step explanation:
What’s the answer? QUICK
Answer:
Step-by-step explanation:
4 and 1/6
Tell whether the ordered pair (-4,-2) is a solution of the system of linear equations.
Y= 2x+6
Y= -3x-14
Solve.
3.5 x (5.8 - 7.09) =
Answer:
-4.515
Step-by-step explanation:
3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515
A puppy weighs 2 7/8 pounds. Carla feeds the puppy 3 ounces of food for each pound that the puppy weighs. How many ounces of food does Carla feed the puppy?
Answer:
8 5/8 ounces
Step-by-step explanation:
Given that:
Weight of puppy = 2 7/8 pounds
Puppy is being fed 3 ounces of food for each pound it weighs
Ounces of food being fed :
1 pound = 3 ounces
2 7/8 pounds =?
2 7/8 * 3
23/ 8 * 3
= 69/ 8
= 8 5/8 ounces
Find the volume of the cube in inches3 below. Then select the correct units
when entering your answer.
7 in.
7 in.
7 in
Answer here
cu. cm
cu, in
sq. in
Answer:
21 cubic inches (or cu. in)
Step-by-step explanation: Multiply 7 by three
what’s the answer and how did you get it? i’m confused
Answer:
The answer is 3.
Step-by-step explanation:
Because you should put the gh with gh, 2 is equivalent to 2 (so the 2 disappeared) and you only have 8-7=1 plus 2=3.
Answer: The given expression is 8g^2h-7gh+2
The degree of 8 g^2 h is 2, 1
The degree of - 7 g h is 1
The degree of 2 is 0
But the degree of expression will the highest degree of the indivisual expression of above i.e 3.
The answer is 3.
Can someone please help me
Answer:
y=89
Step-by-step explanation:
because if you take y-47 okay then you do 47+42 giving you what that ange is because they are the same angle they should both be 42
6th grade math help me pozzzz
Answer:
t= -9/10= -0.900
Step-by-step explanation:
For the function of f ( x ) = − 2 x^ 2 + x + 1, find f (3).
Step-by-step explanation:
f(3)= -2×3²+3+1
= -18+3+1
= -14
hope it helps.
Answer: = ± 2 √ 2
Step-by-step explanation:
Put the following numbers in order from least to greatest. 9.201, 9.210, 9.012, 9.0
Answer:
9.0, 9.012, 9.201, 9.210
Step-by-step explanation:
9.0 has no decimal numbers, so it goes at the beginning, 9.012 is the next greatest, then 9.201, and finally, 9.21. Also, a zero at the end of a decimal number adds nothing.
ﾟ+*:ꔫ:*
A. (2, 1)
B. (1, -2)
C. (1, 2)
D. (-1, 2)
♡━━━━━━━━━♡
︎thank you! ♡´･ᴗ･`♡
Answer:2,1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Find the volume of this shape 11 cm 16 cm
Ryan was paid $75 for
working 6 1/4 hours.
How much money
did he make per hour?
A. $12.50
B. $12
C. $15
Answer:
the answer is b
Step-by-step explanation:
12:
Step-by-step explanation:
I am giving all my final points for this one please answer correctly! and thank you
Answer:
D.
Step-by-step explanation:
You can see that the first value(initial) of y is 20 and the difference of the preceding values is 10 but it is decreasing thus -10
if cube has total surface area 150cm sweet, find the volume of the cube
Answer:
i edgggg g t g h tr fe erfg bh hnhy r hrh r r t hth
Step-by-step explanation:
125 cm ans
may be it is helpful
HELP !!!!!!! MAHH HELP PLEASE !!!!
The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and write your answer as a number.
Answer:
25%
Step-by-step explanation:
Given that,
Initial cost of a t-shirt = $30
Final cost of a t-shirt = $37.50
We need to find percent of change. The percentage change in any value is given by :
[tex]\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%[/tex]
Hence, the percentage error is 25%.
50 points!! Look at both pics attached! I need this done ASAP! Put random answers and I will report you
Answer:
For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]
For the second: [tex]x=5[/tex]
Step-by-step explanation:
Answer:
x=17 for the first and x=5 for the second.
Step-by-step explanation:
First picture
Opposite angles of two intersecting lines are equal.
So the angle opposite the 100 degree angle on line c is also 100.
Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).
So 5x + 15 = 100
5x = 85
x = 17
Second picture
Adjacent angles add up to 180 degrees. So the angle opposite 52 is 180-52=128.
[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]
Explain ASAP PLEASE!!!!!!
Answer:
C
Step-by-step explanation:
you can make a right triangle from the center of one base to the edge of that circle, and then up to a point on the circumference of the other base
the bases of the triangle would be 2 and 5
so that gives sqrrt 29
A cashier works 40 hours each week, earns $7.50 per hour, and works 50 weeks each year
Answer:
the cashier would have 15000 dollars at the end of the year.
Step-by-step explanation:
is that what you were asking?
math problem plz help me
Answer:
Option C.
Ground level = 0 foot
Hole = -3 feet
Dirt pile = 3 feet
Divide. Express each answer as a decimal. 5÷4 4÷5 30÷12 12÷30
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Step-by-step explanation:
A line passes through (−2, 5) and has slope 1/3 . What is an equation of the line in point-slope form?
Answer:
point-slope form is : y - y1 = m(x -x1) where m is the slope and y1 and x1 is the point. plug in the given values. since the question wants it in point-slope, you leave it as is.
y - 5 = 1/3 (x - (-2))
Step-by-step explanation: