Step-by-step explanation:
the dividend divided by the divisor equals the quotient
The dividend is [tex]5\frac{1}{6}[/tex] and the divisor is [tex]2\frac{5}{12}[/tex] and the quotient is [tex]2\frac{4}{29}[/tex]. Therefore, option A is the correct answer.
The given equation is [tex]5\frac{1}{6}\div2\frac{5}{12} =2\frac{4}{29}[/tex].
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here,
[tex]5\frac{1}{6}\div2\frac{5}{12} =2\frac{4}{29}[/tex]
⇒ 31/6 ÷ 29/12 = 62/29
⇒ 31/6 × 12/29 = 62/29
⇒ 62/29 = 62/29
Here, the dividend = [tex]5\frac{1}{6}[/tex] and the divisor = [tex]2\frac{5}{12}[/tex] and the quotient = [tex]2\frac{4}{29}[/tex]
Therefore, option A is the correct answer.
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Solve for X, please give a brief run-over on how you got there.
Answer:
x = 31.5
Step-by-step explanation:
The triangle on the left has 2 congruent sides and is therefore isosceles.
Thus the 2 base angles are congruent with measure
[tex]\frac{180-54}{2}[/tex] = [tex]\frac{126}{2}[/tex] = 63
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
The triangle on the right is also isosceles with base angles of measure x
63° is an external angle of the triangle on the right, thus
x + x = 63
2x = 63 ( divide both sides by 2 )
x = 31.5
Solve 5/7x=-25
The solution is x= ?
(15 POINTS!)
The slope of the line passing through the points (7, 5) and (21, 15) is
5/7
7/5
5
7
Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point
3, 5
3, 7
21, 5
21, 7
Answer:
1) 5/7
2) (21, 5)
Step-by-step explanation:
1) The slope of the line passing through the points (7, 5) and (21, 15) is
[tex]\frac{15-5}{21-7} =\frac{10}{14}=\frac{5}{7}[/tex]
because slope is (difference of y)/(difference of x)
the first option is correct
2) 1/3 of 5/7 is 5/21.
The line will be in the form of
y = 5/21 x + b where b is the y-intercept.
Find the complete equation by plugging in (0,0) since it passes thorugh the origin.
0 = 5/21 (0) +b
0=0+b
b=0
The equation: y=5/21 x
let's check each option by plugging in.
y= 5/21 (3)= 5/7
y is not 5 but 5/7
y= 5/21 (3)= 5/7
y is not 7 but 5/7
y= 5/21 (21) = 5
y is 5, which matches with the answer choice!!!
y= 5/21 (21) = 5
y is 5, not 7.
The third option is correct
m is directionly proptional to r squared
when r=2, m=14
A)work out the value of m when r is 12
b) work out the value or r when m is 224
9514 1404 393
Answer:
A) 504
B) 8
Step-by-step explanation:
The statement of proportionality can be written as the equation ...
m = kr²
Then we can find k from ...
k = m/r² = 14/2² = 7/2
That is, ...
m = (7/2)r²
__
Using this relation, we can find m for r=12:
m = (7/2)·12² = 7·72
m = 504 . . . for r = 12
__
And, we can use the same equation to solve for r when m=224.
224 = 7/2·r²
r² = 64
r = √64
r = 8 . . . for m = 224
Scott trained for the marathon.
On day 1, he took 70 min to run 10 km.
On day 10, he took 2 h 40 min to run 20 km.
On day 20, he took 4 h 15 min to run 30 km.
a) What was Scott's running rate, in minutes per kilometre,
for each day?
i) Day 1 ii) Day 10 iii) Day 20
b) What do you think Scott's running rate, in minutes per
kilometre, might be for the 44 km of the marathon?
How long do you think it will take him? Explain.
Answer:
See below
Step-by-step explanation:
a)
Day 1
70 min for 10 kmRate = 70/10 = 7 min/kmDay 10
2h40 min for 20 km2*60+40 = 160 min for 20 kmRate = 160/20 = 8 min/kmDay 20
4 h 15 min for 30 km4*60 + 15 = 255 min for 30 kmRate = 255/30 = 8.5 min / kmb)
From the rate change we see:
1 min increase when the distance increases from 10 km to 20 km0.5 min increase when distance increases from 20 km to 30 kmSo we see 1 min increase per twice the distance increase
With the same rate increase we can expect 1 min increase from 20 km to 40 km, which gives us the rate of 9 min/km With same logic we get 9.055 km/min rate for 44 km distanceTotal time it takes:
9.055*44 = 398.42 min = 398.42*1/60 min = 6 h and 38.42 minWhich expression among the following is the solution of 2(4x+3)≤3(3x+4)?
x≤6
x≥6
x≤−6
x≥−6
Answer:
Solving [tex]8x+6\leq9x+12[/tex] we get [tex]\mathbf{x\geq -6}[/tex]
Option D is correct information.
Step-by-step explanation:
We need to solve [tex]2(4x+3)\leq 3(3x+4)[/tex]
Multiply the terms:
[tex]2(4x+3)\leq 3(3x+4)\\8x+6\leq9x+12[/tex]
Subtracting 6 from both sides
[tex]8x+6-6\leq9x+12-6\\8x\leq9x+6[/tex]
Subtracting 9x from both sides
[tex]8x-9x\leq 9x+6-9x\\-x\leq 6[/tex]
Divide both sides by -1 and reversing the inequality
[tex]x\geq -6[/tex]
So, solving [tex]8x+6\leq9x+12[/tex] we get [tex]\mathbf{x\geq -6}[/tex]
Option D is correct information.
Algebra 2 question matrices. Please help!!
Solve the system of equations below using matrices.
Answer:
(1, 3, -2) is the answer
4x-5y>-5
Please solve
Answer:
x-intercept(s):
(−54,0)
y-intercept(s): (0,−1)
Step-by-step explanation:
the sum of two consecutive even intergers is 106. what are the intergers?
Answer:
52 and 54
Step-by-step explanation:
These two numbers are consecutive, and 52+54=106.
=====================================================
Work Shown:
x = some even integer
x+2 = next even integer after x
x+(x+2) = 2x+2 = sum of the consecutive even integers
2x+2 = 106
2x = 106-2
2x = 104
x = 104/2
x = 52
x+2 = 52+2 = 54
The two consecutive even integers are 52 and 54
Check: 52+54 = 106
A los proveedores de una tienda comercial se les paga con una frecuencia diferente de acuerdo a sus productos. Al proveedor de frutas y verduras cada 15 días, al de ropa cada 60 días y al de productos de electrónica cada 90 días. ¿Cada cuántos días coinciden sus pagos?
Answer:
180 días.
Step-by-step explanation:
Resolvemos esta pregunta utilizando el método mínimo común múltiple
Buscamos y enumeramos los múltiplos de cada número hasta encontrar el primer múltiplo común.
Este primer múltiplo común es el mínimo común múltiplo.
Múltiplos de 15:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210
Múltiplos de 60:
60, 120, 180, 240, 300
Múltiplos de 90:
90, 180, 270, 360
Por lo tanto,
MCM (15, 60, 90) = 180
Por lo tanto, el número de días que mi pago se concede es de 180 días.
Please help me!! Solve for x
Answer:
10.
Step-by-step explanation:
This is a parallelogram so the pair of internal angles add up to 180 degrees.
So 120 + 5x + 10 = 180
5x = 180 - 120 - 10 = 50
x = 50/5
x = 10.
Which relationship describes angles 1 and 2?
Answer:
we need a picture
Step-by-step explanation:
The solution is, First option and Third option. i.e. they are, "adjacent angles" & complementary angles",
What is an angle?
In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
You can observe in the figure that the angle 1 and the angle 2 have a common vertex and a common side.
These kind of angles are known as "adjacent angles".
You can observe that the intersection of the lines forms four equal anles which are right angles (Angles of 90 degrees).
Therefore, the angles 1 and 2 and also "complementary angles", because the sum of them is 90 degrees.
Then, the answers are the first option and the third option.
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25 pts! Will give brainliest, I need help with part b and c
Answer:
Only can print 20 page when it's half page
full page he only can print 10
Step-by-step explanation:
40x=800
800/40 = 20
75x=800
10 page only
Answer (part b):
20 half-page advertisements
Step-by-step explanation:
Michael has $800 and the company charges $40 per half-page advertisements. So you can just do 800/40 becuase you need to divide what is being charged ($40) by what Michael has ($800) and you’ll get 20. That’s okay because he said he can purchase 13 advertisements, but these are half-page advertisement. So it’s really just 10 full-page advertisements.
Answer (part c):
About 10 full-page advertisements
Step-by-step explanation:
Again, Michael has $800 and the company charges $75 per full-page advertisements. So you can just do 800/75 becuase you need to divide what is being charged ($75) by what Michael has ($800) and you’ll get 10.6, but the 6 is repeating. You will have to round down to 10 because if you round up, then he won’t have enough money to buy 11.
Hope this helps and answers your question :)
what is the answer to 12.4-8.96?
Answer:
3.44
Step-by-step explanation:
12.40 - 8.96 = 3.44
I hope this helped, please mark Brainliest, thank you!
spencer used 14 centimeters of tape to wrap 2 presents. how many presents did spencer wrap if he used 42 centimeters of tape? assume the relastionship is directly proportional
Answer:
6
Step-by-step explanation:
You and your friend are practicing for a rowing competition and want to know how far it is to an island in the Indian River Lagoon. You take measurements on your side of the lagoon and make the drawing shown. What is the distance to the island? Please help, I don't have much time.
The drawing is missing, so i have attached it.
Answer:
24 yards
Step-by-step explanation:
From the image, we can see that AB and DE are both adjacent sides of their respective triangles.
While, CE and BC are both opposite sides of their respective triangles
Now, from your side, x is the distance to the island.
So, from ratio of similar triangles, we can find x.
Thus;
8/x = 3/9
Cross multiply to get;
8 × 9 = 3x
3x = 72
x = 72/3
x = 24
Thus, distance from your side to the island is 24 yards
answer two questions about equations A and B:
A. x/4+1=-3
B. x+4=-12
1) how can we get equation B from equation A?
choose 1 answer:
(Choice A) rewrite one side (or both) using the distributive property
(Choice B) rewrite one side (or both) by combining like terms
(Choice C) multiply/divide only one side by a non zero constant
(Choice D) multiply/divide both sides by the same non zero constant
2) based on the previous answer ,are the equations equivalent? in other words ,do they have the same solution?
choose 1 answer:
(Choice A) yes
(Choice B) no
Answer:it’s d and yes
Step-by-step explanation:
Leticia has two bouquets of flowers.Each bouquet contains 13 daisies.
• Bouquet S contains 30 flowers
.• Bouquet T contains 13 flowers
Which statement is true?
A)The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from Bouquet T
B)The probability of randomly selecting a daisy from Bouquet S is 1
C) The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T
D)The probability of randomly selecting a daisy from Bouquet S is 3.
SHOW WORK!!!!
Answer:
Step-by-step explanation:
A
The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T.
Both bouquets have the same type of flower (daisies) and Leticia has the same number of daisies in each bouquet (13).
Therefore,
The probability of randomly selecting a daisy from Bouquet S is the same as the probability of randomly selecting a daisy from Bouquet T.
Which is 1/13.
(since there are 13 daisies in each bouquet and we assume that each daisy is equally likely to be selected).
Thus,
The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T
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Which expression is equivalent to -6(-2/3+2x)?
A. -4-12x
B. -4+12x
C. 4-12x
D. 4+12x
How to find the gradient plz
To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction
Step-by-step explanation:
what lynpr5 said
udjjdndhxhhshdbhdhdhdhd
Answer my math question I asked so many times I lost most of points by
Answer:
a=1
b=2
c=-8
y-intercept: (0, -8)
Line of symmetry calculation: x = -2/(2*1)
Line of symmetry: -1
Opens up because a > 0
Minimum
Vertex: (-1, -9)
Domain: -∞ < x < ∞ (no domain constraints)
Range: [-9, ∞]
Step-by-step explanation:
Ned and Sarah were running a relay race .the race was 22.01 kilometers total if Ned ran 9.41 kilometers
Answer:
dwdwdadwdawddasd
Step-by-step explanation:
HELP ASAP!! What is the average rate of change between x = -3 and x = 4 for the equation y = 8x2?
Answer:
[tex]x=-3\\y=8(-3)^2\\y=8(9)\\y=72[/tex]
[tex]x=4\\y=8(4)^2\\y=8(16)\\y=128[/tex]
128-72=56
average rate of change is 56
Step-by-step explanation:
Plz let me know if im right
Answer:
8 is the average rate of change
Step-by-step explanation:
Plugin -3 and 4 in for x.
y = 8(-3)^2
y = 72
y = 8(4)^2
y = 128
128-72/4-(-3) = the average rate of change
56/7=8
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(4x-3)°
(4x+10)°
(6x-9)°
A map of the Hill Park hiking trails uses the scale
12 inch = 34 mile
.
Which unit rate is equivalent to this scale?
Answer:
wish i could help
Step-by-step explanation:
1
1
2
2
s
someone help me please!
Answer:
To solve the first inequality, you need to subtract 6 from both sides of the inequality, to obtain 4n≤12. This can then be cancelled down to n≤3 by dividing both sides by 4. To solve the second inequality, we first need to eliminate the fraction by multiplying both sides of the inequality by the denominator, obtaining 5n>n^2+4. Since this inequality involves a quadratic expression, we need to convert it into the form of an^2+bn+c<0 before attempting to solve it. In this case, we subtract 5n from both sides of the inequality to obtain n^2-5n+4<0. The next step is to factorise this inequality. To factorise we must find two numbers that can be added to obtain -5 and that can be multiplied to obtain 4. Quick mental mathematics will tell you that these two numbers are -4 and -1 (for inequalities that are more difficult to factorise mentally, you can just use the quadratic equation that can be found in your data booklet) so we can write the inequality as (n-4)(n-1)<0. For inequalities where the co-efficient of n^2 is positive and the the inequality is <0, the range of n must be between the two values of n whereby the factorised expresion equals zero, which are n=1 and n=4. Therefore, the solution is 1<n<4 and we can check this by substituting in n=3, which satisfies the inequality since (3-4)(3-1)=-2<0. Since n is an integer, the expressions n≤3 and n<4 are the same. Therefore, we can write the final answer as either 1<n<4, or n>1 and n≤3.
Label the endpoints to round 21.897 to the nearest hundredth
Answer:
21.9 is the answer rounded to the nearest hundred.
What is Fourteen minus four times y is equal to y increased by 4 in number form
The distance travelled by a car is 15km. If the car travelled at an average speed of 50km/h, how long did the trip take? Show working out.
Answer:
18 minutes
Step-by-step explanation:
Given distance (D) and average speed (S) then time (T) is calculated as
T = [tex]\frac{D}{S}[/tex] = [tex]\frac{15}{50}[/tex] = [tex]\frac{3}{10}[/tex] hour
[tex]\frac{3}{10}[/tex] hour = [tex]\frac{3}{10}[/tex] × 60 min = 3 × 6 = 18 mins
Solve |x| = -15
i need help
answer is 15
cuz its absolute value
Answer:
x=±15
Step-by-step explanation:
When we have absolute value equations, the first step is always to isolate the absolute value. This has already been done.
We know that a quantity in absolute value can be negative or positive, so in order to solve for it, we take the quantity inside the expression--in this case x--and set it equal to negative OR positive of the term on the right side. In this problem, this step would look like this:
[tex]x=-15[/tex] (the original right-side quantity)
and you would also need to solve for
[tex]x=15[/tex]
So [tex]x[/tex] can be ±15