The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27
The given ratio is:
2 gallons to 27 quarts
This can also be written as:
2 gallons : 27 quarts
Convert 27 quarts to gallons so that both items in the ratio can be of equal unit
Note that:
1 quart = 0.25 gallons
27 quarts = 0.25 x 27
27 quarts = 6.75 gallons
The ratio can therefore be re-written as:
2 gallons : 6.75 gallons
In fraction form:
2 gallons : 27 quarts = 2/6.75
Multiply the numerator and denominator by 4
2 gallons : 27 quarts = 4/27
The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27
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Can someone help me with this please
Answer:
r = 59
Step-by-step explanation:
59 + r = 118
59 + r - 59 = 118 - 59
r = 59
Since 59 is being added to r, and you want r alone, you must subtract 59 from the left side of the equation. The rule is that you must do the same operation to both sides of the equation. Therefore, to solve for r, subtract 59 from both sides of the equation.
solve one step equation
-8 + x = 10
Answer:
x=18
Step-by-step explanation:
10-(-8)=18
In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP AHHHHH
Applying the inscribed angle theorem, the missing measures are:
1. m∠EDA = 29°
2. m∠BDC = 21°
3. m∠BDC = 21°
4. measure of arc AB = 80°
5. m∠AEB = 40°
6. m∠AEB = 29°
7. m∠BAC = 21°
8. measure of arc ED = 90°
9. m∠ECD = 45°
10. m∠ACB = 40°
11. m∠EBD = 45°
12. m∠ADB = 40°
13. m∠CAD = 45°
14. m∠EAB = 111°
15. m∠EBC = 90°
What is the Inscribed Angle Theorem?The inscribed angle theorem states that, if ∠a is an inscribed angle, that intercepts arc AB, therefore: m∠a = ½(measure of arc AB).
The diagram showing circle P is attached below. We are given the following:
measure of arc EA = 58°
measure of arc BC = 42°
measure of arc CD = 90°
Thus:
1. m∠EDA = ½(measure of arc EA)
m∠EDA = ½(58)
m∠EDA = 29°
2. m∠BDC = ½(measure of arc EA)
m∠BDC = ½(42)
m∠BDC = 21°
3. m∠BEC = ½(measure of arc BC)
m∠BDC = ½(42)
m∠BDC = 21°
4. measure of arc AB = 180 - 58 - 42
measure of arc AB = 80°
5. m∠AEB = ½(measure of arc AB)
m∠AEB = ½(80)
m∠AEB = 40°
6. m∠ECA = ½(measure of arc EA)
m∠AEB = ½(58)
m∠AEB = 29°
7. m∠BAC = ½(measure of arc BC)
m∠BAC = ½(42)
m∠BAC = 21°
8. measure of arc ED = 180 - 90
measure of arc ED = 90°
9. m∠ECD = ½(measure of arc ED)
m∠ECD = ½(90)
m∠ECD = 45°
10. m∠ACB = ½(measure of arc AB)
m∠ACB = ½(80)
m∠ACB = 40°
11. m∠EBD = ½(measure of arc ED)
m∠EBD = ½(90)
m∠EBD = 45°
12. m∠ADB = ½(measure of arc AB)
m∠ADB = ½(80)
m∠ADB = 40°
13. m∠CAD = ½(measure of arc CD)
m∠CAD = ½(90)
m∠CAD = 45°
14. m∠EAB = ½(180 + 42)
m∠EAB = ½(222)
m∠EAB = 111°
15. m∠EBC = ½(measure of arc EDC)
m∠EBC = ½(180)
m∠EBC = 90°
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4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
The zeros of
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
are
x=0,x=-2,x=-5x=0,x=−2,x=−5
EXPLANATION
The given function is
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
To find the zeros of the above function, we just have to equate the function to zero and solve for x.
x(x + 2)(x + 5) = 0x(x+2)(x+5)=0
This implies that,
x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0
x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5
To graph the above function, we need to consider the multiplicity.
We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.
We also need to consider the position of the graph on the following intervals,
x < - 5x<−5
When
x = - 10x=−10
y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0
The graph is below the x-axis.
- 5 \: < \: x \: < \: - 2−5<x<−2
When
x = - 3x=−3
y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0
The graph is above the x-axis.
- 2 \: < \: x < \: 0−2<x<0
when
x = - 1x=−1
y = -1(1)(4) \: < \: 0y=−1(1)(4)<0
The graph is below the x-axis.
Finally the interval,
x \: > \: 0x>0
when
x = 1x=1
y = 1(3)(6) \: > \: 0y=1(3)(6)>0
The graph is above the x-axis.
We can now use the above information to sketch graph as shown in the diagram above
20 % of 2 is equal to
A. 20
B. 4
C. 0.4
D. 0.04
If Log 4 (x) = 12, then log 2 (x / 4) is equal to
A. 11
B. 48
C. -12
D. 22
Answer:
the answer to the first question is c. the second one is
2
\frac{x}{2}
2x
x/2
Step-by-step explanation:
Answer:
20% of 2 is equal to 0.4
log 2 (x / 4) is equal to 22.
How to solve y=4x+1 y=- x=-2
Donald plays with his wood cubes and decides to make a pyramid
Mr. Miranda borrowed $8,800 for 12 months at simple interest to pay for a new swimming pool. If Mr. Miranda paid the bank a total of $10,287.20, what was the simple interest rate of the loan?
85.5%
1.4%
16.9%
14.5%
The answer would be b, or 1.4%.
The simple interest rate of the loan will be 16.9%. Then the correct option is C.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
A = P + (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Mr. Miranda acquired $8,800 for a considerable length of time at basic interest to pay for another pool. On the off chance that Mr. Miranda paid the bank a sum of $10,287.20.
The simple interest rate of the loan will be given as,
10,287.20 = 8,800 + [(8,800 x r x 12) / (100 x 12)]
1,487.2 x 100 = 88r
r = (1487.2 / 88) x 100
r = 0.169 x 100
r = 16.9%
The simple interest rate of the loan will be 16.9%. Then the correct option is C.
More about the simple interest link is given below.
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a recipe requires the following ingredients to make 16 gingerbread men
140g of flour
250g of sugar
80g of ginger
110g of butter
how much of each ingredient would you need to make 40 gingerbread men?
How do I work this out?
Answer:
5,600 g of flour
10,000g of sugar
3,200g of ginger
4,400g of butter
Just have to multiply each ingredient by 40
One angle, Angle A = 80° find the other angle, Angle B
Hint: They are formed on a line.
If 2 angles are formed on a line, then they make a supplementary / linear pair of angles, i.e, both the angles form 180°.
Here,
Angle A = 80°
Angle B = x°
So,
Angle A + Angle B = 180°
80° + x° = 180°
x° = 180° - 80°
x° = 100°
=》 Angle B = 100°
_____
Hope it helps ⚜
What is 0.02349 written in standard form to 3 significant figures
[tex]\\ \sf\Rrightarrow 0.02349[/tex]
[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]
[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]
Option C is correct
[tex]0.002349 \\ estimate \: \: \: it \\ = 0.00235 \\ = 0.00235 \times 1000 \\ = 2.35 \\ therefore \\ 0.00235 \\ = 2.35 \times \frac{1}{1000} \\ = 2.35 \times {10}^{ - 3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
help please I don't know what the answer could be
"The square root of two times a number subtract five is equal to ten."
I think this is √2n-5 = 10.
calculate average or arthmetic mean
Answer:
mean/average is calculated by adding all of the values and dividing by the number of values
ur welcome queen besitie slay
PLSSSS HELPPPPPPOP
Solve each equation for the indicated variable
1) G = 6x , for x
2) U = 2x - 2 , for x
3) Z = m - x , for x
4) G = ca , for a
5) U = x - k , for x
6) G = c + x , for x
7) U = k/a , for a
8) g = xc , for x
9) 12 am = 4 , for a
10) -3 x + 2c = - 3 , for x
11) am = n + p , for a
12) U = ak/b , for a
13) a - c = d - r , for a
14) xm = np , for x
Answer:
Step-by-step explanation:
1) G = 6x , for x: G/6
2) U = 2x - 2 , for x: (1/2)U + 1
3) Z = m - x , for x: m - Z
4) G = ca , for a: G/c
5) U = x - k , for x: U + k
6) G = c + x , for x: G - c
7) U = k/a , for a: k/U
8) g = xc , for x: g/c
9) 12 am = 4 , for a: a = 1/(3m)
10) -3 x + 2c = - 3 , for x: x = 1 +(2/3)c
11) am = n + p , for a: (n+p)/m
12) U = ak/b , for a: U(b/k)
13) a - c = d - r , for a: a = d - r + c
14) xm = np , for x: np/m
my Christmas present to you
Answer:
Step-by-step explanation:
if you need help let me know
Answer:
Thanks I guess…
Step-by-step explanation:
what do you do to multiplay 100
x 300
Answer: 30000
Step-by-step explanation:
[tex]100 \times 300\\\\=100 \times 100 \times 3\\\\= 10000\times 3\\\\=30000[/tex]
Help help help math nath
Answer:
12
Step-by-step explanation:
plug in -7 where x is
5 - (-7) = 12
Answer:
12
Step-by-step explanation:
plug in -7 where x is
5 - (-7) = 12
It's pretty simple!
I hope this helps you
The square of the correlation coefficient gives a.An estimate of reliability b.An estimate of power c.The percentage of the variance attributed to error d.The percentage of the variance in the data that is accounted for by the independent variable.
Answer:
The coefficient of determination!
Step-by-step explanation:
It shows percentage variation in the target variable (y)y which is explained by all the predictor variables (X) together. It is always between 0 and 1. Hope this helps :)
Simplify fully
A)
X^7 / X^3
B)
Y^5 / Y^4
Hi,
[tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]
a)
[tex]\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}[/tex]
b)
[tex]\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y[/tex]
;)
Alexander purchased a computer on sale the original price was 1200 the sale price was 5/6 of the original price how much did Alexander pay for the computer
Answer:
1000
Step-by-step explanation:
Answer:$1000
Step-by-step explanation:
Divide 1200 by 6 then multiply that number by 5
a hiking trail at a state park is 8.4 miles long a park ranger wants to place signs at the beginning and end of the trail and along the trail so that the signs are 1.4 miles apart how many signs will the ranger need?
Answer:
the ranger will need 6 signs
Step-by-step explanation:
Which choice is similar to the figure shown?
Answer:
The parallelogram whose sides are 5 and 20 is similar
Step-by-step explanation:
The parallelogram whose sides are 5 and 20 is similar to the given parallelogram whose sides are 2 and 8 because the figures are the same shade and corresponding sides are proportional.
[tex]\frac{2}{5} = \frac{8}{20}[/tex] [tex]\frac{2}{4} \neq \frac{8}{18}[/tex]
[tex]\frac{2}{5} =\frac{2}{5}[/tex] [tex]\frac{2}{4} \neq \frac{8}{4}[/tex]
write y= - 4x on a graph
What does pie mean?
I forgot ; )
Answer:
pie means 3.142
Step-by-step explanation:
Answer:
In decimal form, the value of pi is approximately 3.14. It looks like this π.
Hope that helps. x
If someone can ride a skateboard 2 miles in 10 minutes how many miles can still ride the skateboard and 1.5 miles
Answer:
7 and a half minutes. have a good one.
y=4x−9y, equals, 4, x, minus, 9
Complete the missing value in the solution to the equation
Answer:
(3,3)
Step-by-step explanation:
To find the y - value that corresponds to x=3 , substitute the x - value in the equation.
y=4x-9
y=4*3-9
y=12-9
y=3
Therefore, (3/3) is the solution to the equation.
I hope it helps.
Answer:3,3
Step-by-step explanation: bc khan
Q.
10² + 20² - 5! = ?
note : ! it's a factorial sign
Goodluck
[tex] = 10 {}^{2} + 20 {}^{2} - 5! \\ = 100 + 400 - \\ (5 \times 4 \times 3 \times 2 \times 1) \\ = 100 + 400 - 120 \\ = 500 - 120 \\ = 380[/tex]
10² + 20² - 5! = ？
Answer:-380
Explanation:-=> 10² + 20² - 5!
=> 100 + 400 - (5 × 4 × 3 × 2 × 1)
=> 100 + 400 - 120
=> 500 - 120
=> 380
what are all the numbers through 10 and 100 that are divisible by 6 and 9
Answer:
6,12,18,24,36,42,48,5,60,66,72,78,84,90,96
Step-by-step explanation:
got a friend help
I don't know how to solve this please help.
Answer:
56 miles
Step-by-step explanation:
Let x is the total distance Sam will travel today
Sam has already biked 12 + x/4 miles
He needs to bike 3x/8 (x.3/8) + 9 miles
12 + x/4 + 3x/8 + 9 = x
21 + x/4 + 3x/8 = x
21 + 2x/8 + 3x/8 = x
21 + 5x/8 = x
21 = x - 5x/8
21 = 3x/8
21.8 = 3x
168 = 3x
x = 168/3
x = 56 (miles)
Answer:
Step-by-step explanation:
