The length of the field in the drawing is 81 cm
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Scale of the drawing : Length in meters is in the ration 3 cm : 4 m
Length of the soccer field is 108 m
Now , length of 108 m soccer field in scale of drawing = x
From proportion formula , we can deduce that
3 : 4 : : x : 108
So ,
3/4 = x/108
Multiply by 108 on both sides , we get
( 3 x 108 ) / 4 = x
x = 3 x 27 cm
x = 81 cm
Hence , length of the field in the drawing is 81 cm
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6x+ 14 <--28
AND
3r + 28 < 25
Answer:
what?
Step-by-step explanation:
How many degrees in 0.375
of a full turn?
Answer:
135°
Step-by-step explanation:
A full turn is 360°, so 0.375 of a full turn is ...
0.375 × 360° = 135° . . . . degrees in 3/8 turn
A product of a number and 6 is 26
Choose the answer:
A. n*6=26
B. 6+n =26
C. 6-n
D. 6-n=26
Answer:
A
Step-by-step explanation:
n is the number.
So n*6=26
Hey there!
Guide:
• Difference = Subtract
• Is = Equal to
• Product = Multiply
• Quotient = Divide
• Sum = Add
• Unknown number = a number that’s isn’t known yet
Question reads….
“ A [PRODUCT] of [a NUMBER] & 6 [is] 26”
RANDOM:
• Product is multiply/multiplication
• A number is unknown so we will label it as “n”
• 6 stays the same because nothing happened to it
• 26 is BEHIND the equal sign but nothing happens to it because nothing is being compared to it
ANSWER:
“n * 6 = 26”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Many gas stations give a discount for paying with cash instead of a credit card. William’s local gas station gives a discount of $0.05 per gallon. He fills his car with 20 gallons of gas. How much will William save by paying cash instead of credit card?
The amount that William would save by paying cash instead of credit card is $1
What is a Discount?This refers to the amount deducted from the value of a certain commodity so that there would be a reduced price for the good.
Hence, given that there is a discount of $0.05 per gallon if you pay with cash
William fills 20 gallons of gas
The amount saved by paying cash by William would be 0.05 * 20 = $1
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What’s the area of a triangle with sides of 24, 38 and 14
Area of triangle formula: 1/2 * base * height.
So with the given information it is not possible for me to find the area. Only perimeter is possible.
Pls
Help sue tmr pls pls pls
Step-by-step explanation:
3.
the net of a cylinder looks like a rectangle with two circles attached at opposite ends. we also define a base radius for the cylinder as the radius of the base, and the height of the cylinder as the distance between the bases.
in other words, imagine you cut open a soda can (and leave the top and bottom just a little bit attached - don't cut them off completely).
the mantle turns into a rectangle. and the base and top are two circles. the length of the rectangle is the circumference of one of the circles (2×pi×r), and the width of the rectangle is the height of the original can.
4.
remember what you did when calculating the size of the area of a square ? or a rectangle ?
in each case it is in principle length×width.
and we expressed an area not in units of e.g. cm but in cm², because we simply said how many little squares of 1 unit side length fit into the area.
now, for the volume, we apply the same principle and simply add a third dimension.
we express a volume not in cm² squares but in cm³ cubes, saying how many such little cubes fit inside.
a cube with 5 cm side length has therefore a volume of
5×5×5 = 5³ = 125 cm³ (= 125 little cubes of 1cm side length).
5.
this is simply a box, a 3-dimensional rectangle.
similar to 4. fit the volume we just multiply now so 3 dimensions :
6×7×9 = 378 cm³ (= 378 little cubes of 1cm side length).
OK im confused for real: ok so what does 20X80X100X70X40+4=
Answer:
448000004.
Hope that helps. x
Answer:
448000004
Step-by-step explanation:
QUICK MATHS
Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y ≥ 1/2x + 1
A. (-1,3)
B. (0,2)
C. (1,2)
D. (2,-1)
E. (2,2)
B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.
Let's check each option:
A. (-1,3)
The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.
The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.
B. (0,2)
The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.
The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.
C. (1,2)
The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.
D. (2,-1)
The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.
The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.
E. (2,2)
The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.
Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).
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1/3x^2 = -3
The solution to the equation is ___?
A) x = 3
B) x = -3
C) x = ±3
D) no solution
[tex] \frac{1}{3} {x}^{2} = - 3 \\ = > {x}^{2} = - 3 \times 3 \\ = > {x}^{2} = - 9 \\ = > {x} = \sqrt{ - 9} \\ = > x = ±3[/tex]
Answer:
C) x = ±3
Hope you could get an idea from here.
Doubt clarification - use comment section.
Nolan began a savings account three years ago. He invested $100 at a 2% interest rate according to the equation Vn = 100(1.02)x, where Vn is the value of his account after x years. Anias started an account today. She invested $100 at a 2% interest rate according to the equation Va = 100(1.02)x–3, where Va is the value of her account. Let’s say Anias started saving at the same time Nolan did, three years ago. Approximately how much money would she have had to invest to have the same amount of money she has now?
$5.77
$90.24
$94.23
$106.12
Answer: 94.23
Step-by-step explanation:
Find three consecutive numbers if their sum is 3n.
Answer:
n-1, n, n+1
Step-by-step explanation:
n - 1 + n + n +1 = 3n
The middle number is n, the first is n-1 and the third is n+1
Based on the information given, the three consecutive numbers will be n-1, n, and n+1.
It should be noted that consecutive numbers simply mean the numbers that follow themselves in a particular order.
In this case, the three consecutive numbers will be n-1, n, and n+1. Their addition will be:
= n - 1 + n + n + 1
= 3n
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HELP PLZ!!!!
1) Which rigid motion will verify that rectangle ABCD is congruent to rectangle A'B'C’D’ ?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A 270° clockwise rotation about the origin.
D) A 90° counterclockwise rotation about the origin.
2) Which rigid motion will verify that rectangle A'B'C'D' is congruent to rectangle A"B"C"D"?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A translation 8 units to the right.
D) A 90° counterclockwise rotation about the origin.
Answer:
reflection over x-axis
hope that helps!!!
PLEASE HELP ASAPP!!!! I’LL GIVE BRAINLIEST!! PLEASE HELP QUICKLY!
1. A pet store purchases dog food from a supplier in the local community for $20 per bag. If the store adds a 10% markup to the dog food, how much will a customer have to pay for a bag?
2. Jimmy's shop recently imported a new PlayStation game. The game originally cost $25, and for the company to make a profit they sell the game with the price increased by 40%. How much do they sell the game for?
Answer:1. 22
2. 35
Step-by-step explanation:
Answer:
1. $18.00 2. $15.00 your welcome and i hope it helps
Step-by-step explanation:
round 6.073 to 2 decimal places
Answer:
6.07
Step-by-step explanation:
6.073 rounded to two decimal places is 6.07. Hope this helps.
the answer to the question is 6.07
Find measure of <1
Answer ASAP!!
Answer:
105 degrees
Step-by-step explanation:
since both sides of a line will add up to 180 we must subtract 75 from 180 since we already have 75 on the triangle side we subtract and get 105
Answer:
here
Step-by-step explanation:
60⁰+45⁰+X=180
105⁰+X=180⁰
X=180⁰-105⁰
hence X=75⁰
Now
<1=60⁰+75⁰
=135⁰
Plz mark as brainlist
Thank you ™
Simplify the following expressions using the laws of exponents.
Answer:
Salmat po sa lahat
Step-by-step explanation:
ako ay from pilipinas na padpad lng dito ^_^
What is the value of x?
A. 73°
B. 71°
C. 70°
D. 68°
We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°
⇒ 2x° = 140° ⇒ x° = 70°
The answer is C. 70°
ok done. Thank to me :>
What is the quotient? 2 1/5/1-/10
the answer is -0.22
[tex] \: \: \: [/tex]
[tex] = \: \: \: \: - 22[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{ \frac{5}{ - \frac{ 1} {10} } } [/tex]
convert the mixed number to an improper fraction[tex] \frac{11}{ \frac{5}{ - \frac{1}{10} } } [/tex]
use - a / b = a / - b = a - / b to rewrite the fraction[tex] \frac{11}{ - \frac{5}{ \frac{1}{10} } } [/tex]
simplify the complex fraction[tex] = \: \: \: - 22[/tex]
hope it helpsCalculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.
Answer:
AC = 55°
Step-by-step explanation:
In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.
AC + AB + BD = CD
2AC +80 = 170
AC = 110/2 = 55
The measure of arc AC is 55°.
Answer:
AC = 55°
Step-by-step explanation:
because the measure is part of CD. Hope this helps!
Suppose a class has 14 redheads, 8 brunettes, and 6 blondes. What is ratio of blondes to total students? Write your answer in simplest form
Answer:
3:14
Step-by-step explanation:
The total number of students in the class is 28 and 6 of them are blondes so it would be 6:28 but since its asking for the simplest form it should be 3:14
(Divide both numbers by 2)
Hope this helps!!
The probability of event A is 0. 48, the probability of event A and B is 0. 21, and the probability of events A or B is 0. 89. What is the probability of event B? 0. 09 0. 20 0. 27 0. 62.
Probabilities are used to determine the chances of an event
The probability of event B is 0.62
The probabilities are given as:
[tex]\mathbf{P(A) = 0.48}[/tex]
[tex]\mathbf{P(A\ and\ B) = 0.21}[/tex]
[tex]\mathbf{P(A\ or\ B) = 0.89}[/tex]
To calculate the probability of event B, we make use of the following formula
[tex]\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}[/tex]
So, we have:
[tex]\mathbf{0.21 = 0.48 + P(B) - 0.89}[/tex]
Collect like terms
[tex]\mathbf{P(B)= -0.48 +0.21 + 0.89}[/tex]
[tex]\mathbf{P(B)= 0.62}[/tex]
Hence, the probability of event B is 0.62
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PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Identify the missing angle measure in a right triangle where one angle measures 12°.
168°
78°
Cannot be determined
88°
Answer:
78
Step-by-step explanation:
180-90-12=78
2x^2=3x+10 completing the square
Answer:
[tex] x_{1} = \frac{ - \sqrt{89 + 3} }{4} [/tex]
[tex] x_{2} = \frac{ \sqrt{89 + 3} }{4} [/tex]
Step-by-step explanation:
1) Move the variable to the left
2) Divide both sides
3) Add the same value to both sides
4) Add 9/16 to the expression
5) Add 9/16 to the right-hand side
6) Recalculate then solve
Please help me with the math below
Answer:
A. $4.25 per 1 kg of spice
B. 60 : 40 = 3 : 2
Step-by-step explanation:
200 g = 0.2 kg (÷100)
unit price formula: cost ÷ quantity
0.85 ÷ 0.2 = 4.25
set a proportion;
60 3
---- = ---
x 2
3÷60 = 0.05 2
2 ÷ 0.05 = 40
x = 40
hope this helps!
answer the following question
can u answer this question?
Step-by-step explanation:
sure, this is one of the simplest things to do in math : the absolute value. it just delivers the positive value of a value.
if the value is already positive, the result is the same positive value. if the value is negative the result is the corresponding positive value.
really, that is all that is there to it.
so,
|11| = 11
|-12| = 12
no big magic, no mystery, no tricks or formulas to know.
it just is ...
Which of the following is the correct ratio for Sine?
Answer:
Sin = Opp/Hyp
Step-by-step explanation:
Answer:
opposite over hypotenuse
Last week, Keegan bought 4 shirts and 9
hats for a total of $108.
Today, Keegan bought 17 shirts and 21 hats
for a total of $321.
Assuming neither item has changed in price,
what is the cost of a shirt in dollars?
to write down notes or work through problems
Answer: Shirts are $9 each and hats are $8 each
Step-by-step explanation:
Let S be the price of a Shirt, and H the price of a Hat.
First Week: 4S + 9H = $108
Today: 17S + 21H = $321
We have 2 equations and 2 unknowns (S and H). Rearrange one of the equations to isolate one of the unknowns. I'll rearrange the first for S:
4S + 9H = $108
4S = $108 - 9H
S = ($108 - 9H)/4
S = 27 - 2.25H
Now use this value of S in the second equation:
17S + 21H = $321
17(($27 - 2.25H) + 21H = $321
Solve for H:
459 -38.25H + 21H = $321
-17.25H = - 138
H = $8
Each hat was $8.
Use this value in the first equation to find S:
4S + 9H = $108
4S + 9*($8) = $108
4S + $72 = $108
S = $9
Each shirt was $9.
==
Check to see if the numbers give the correct results:
4*($9) + 9*($8) = $108
17*($9) + 21*($8) = $321
Both yield the correct amounts. Shirts are $9 each and hats are $8 each.
Jaiden weighs 120 pounds and is gaining ten pounds each month. Elijah weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Jaiden to weigh the same as Elijah?
Answer
It will take 5 months for Jaiden and Elijah to have the same weight
Step-by-step explanation:
120 + 10m = 150 + 4m
6m = 30
m = 5
The number m of miles a long-distance cyclist travels during today's ride can be modeled by the function m(t)=11t+55, where t represents the number of hours since a noon rest stop.
b. Interpret the slope and y-intercept
c. The cyclist can only ride until 6:00 PM. Identify the domain and range of the function.
Step-by-step explanation:
m(t) = 11t + 55
the slope is always the factor of the variable, so here the slope is 11.
since t is the number of hours riding (after the noon rest stop), the slope (11) is actually the mean speed the rider is going (after the noon rest stop) : with every hour riding the cyclist goes another 11 miles, so this speed is 11 mph.
the y-intercept is the m value when t = 0, because here in our example y (the result variable) is renamed m.
it is here 55.
t = 0 means no time riding yet, so 55 is the "starting value" of the function. that means that the cyclist traveled already 55 miles earlier that day before the noon rest stop.
the cyclist can only ride until 6pm. but we don't know how long the noon rest stop is (i.e. when he continues riding after the rest stop).
so I need to make some assumptions :
the mean speed (11 mph) after lunch break, and the y-intercept (55) suggest to me that the cyclist was riding 5 hours before the stop (5×11 = 55), and will also ride 5 hours after the stop (= from 1pm to 6pm).
if this is wrong, and the cyclist starts at e.g. 12pm, then please just adjust the following numbers accordingly.
but here again, I am assuming the cyclist will go from 1pm to 6pm (for 5 hours).
the domain is the interval or set of all valid values of the input variable (here t) : all real numbers in [0 .. 5].
the "timer" starts at 0 right at the end of the noon test stop. and then the cyclist can go max. 5 hours. and I assume any part of an hour is valid, so we use real numbers instead of e.g. whole numbers.
the range is the interval or set of all valid values of the result variable (here m) : all real numbers in [55 .. 110].
for t = 0 we have m = 55. and this goes continuously up with t until t = 5, leading to 11×5 + 55 = 55+55 = 110.