Answer:
68
Step-by-step explanation:
"a remainder 3 when divided by 5": The number must be 3 more than a multiple of 5.
"a remainder 5 when divided by 7": The number must be 5 more than a multiple of 7.
"a remainder 8 when divided by 10": The number must be 8 more than a multiple of 10.
List some number that are 8 more than a multiple of 10:
18, 28, 38, 48, 58, 68, 78, 88, 98
List some number that are 5 more than a multiple of 7:
12, 19, 26, 33, 40, 47, 54, 61, 68, 75
We see 68 as a the lowest common multiple.
68/5 = 13 remainder 3
Answer: 68
Describe the process you would use to explain to your parents (or other significant adults in your life) how you could calculate the sum of the interior angles of a 12-sided object without measuring them.
Use a word processor, to write up the process you have developed.
The sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees.
A polygon is a shape with 4 or more sides. Hence a 12-sided figure will be regarded as a polygon.
I will let them understand that the formula for calculating the sum of the interior angle of a regular polygon is expressed using the formula;
S = (n-2)*180 where:
n is the number of sides
Since we are considering a 12-sided object, then n = 12
The next thing is to tell them to substitute n = 12 into the formula given above as shown;
S = (12-2)*180
S = 10 * 180
S = 1800
This shows that the sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees.
Learn more here: https://brainly.com/question/19935932
The ordered pair (2, −4) is a solution of which system?
Answer:
option 1
Step-by-step explanation:
y ≤ x - 2
-4 ≤ 2-0
-4 ≤ 2 Satisfies the inequality
y ≥ - x - 4
-4 ≥ - 2- 4
-4 ≥ - 6 (2 , -4) satisfies the inequality
Explain why y +1 = 1.2(x + 2) and y- 5 = 1.2(x – 3) represent the same line, despite having
different equations.
Answer:
They have the same slope
Step-by-step explanation:
The standard equation of a line in point-slope form is expressed as;
y-y0 = m(x-x0)
We can see that both equations given are written in this form with a slope of 1.2. For two lines to be equal, they must have the same slope no matter the point on the lines. Hence the two equations are equal since they have different slopes.
find the sum of (x²+3xy+y²)+(x³+3x²y+2xy²+y³)
which equation represents a line that is perpendicular to line FG
Answer:
C... slope is 1/2 inverse negative of 1/2 is -2
C is the only one with slope of -2
Step-by-step explanation:
Answer:
C. y=-2x-3
Step-by-step explanation:
Two linear equations are shown.
A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFraction x plus 2 and passes through (negative 6, 0) and (0, 2). The second line is labeled y equals StartFraction 4 over 3 EndFraction minus 5.
What is the solution to the system of equations?
(7, 4)
(7, StartFraction 13 over 3 EndFraction)
(8, StartFraction 14 over 3 EndFraction)
(9, 7)
Answer:
(7, 13/3)
Step-by-step explanation:
Given the expressions
y = 1/3x + 2 and the second line y = 4/3x - 5
Equating both expressions
1/3x + 2 = 4/3x - 5
1/3x - 4/3x = -5 - 2
-3/3x = -7
-x = -7
x = 7
Substitute x = 7 into any of the equations
Using y = 1/3 x + 2
y = 1/3(7) + 2
y = 7/3 + 2
y = (7+6)/3
y = 13/3
Hence the solution to the system of the equation is (7, 13/3)
Answer:
(7,13/3) is your answer, otherwise known as answer choice B.
Step-by-step explanation:
Which number is rational?
√2
Pi
Square root of 10
Square root of 16
Answer:
[tex]\sqrt{16}[/tex] is rational number
Step-by-step explanation:
Rational number is of the form p/q, where q ≠ 0. It may be a terminating number or non terminating repeating number.
√2 is irrational number as it is non terminating non repeating number
π is irrational number as it is non terminating non repeating number
√10 is irrational number as it is non terminating non repeating number.
[tex]\sqrt{16}=\sqrt{4*4}=4[/tex]
[tex]\sqrt{16}[/tex] is a rational number
the hypotenuse of a right angled triangular field is 50ft and the legs are in the ratio 7:24, find the area of the right angled triangular field triangular field also find the cost of paving the field with brick at the rate of rs.20per square ft
Answer:
Step-by-step explanation:
If one leg is 7x than other leg is 24x
Using Pythagoras
50² = (7x)² + (24x)²
2500 = 49x² + 576x²
2500 = 625x²
x² = 2500/625 = 4
x = +2 or -2 ; x is positive
Means 7 x = 14 and 24x = 48
The two sides are 14cm and 48cm
Test: 14² + 48² = 196 + 2304 = 2500= 50²
The points of tangency are:
Answer: y and x
Step-by-step explanation:
please help and look at photo 2.
Answer:
2 9/10 miles
Step-by-step explanation:
Ellis rides 29/5 miles a day, today she rode half of it, that is 29/10 miles which is equivalent to 2 9/10.
69 POINTS
If Pablo gives 20% of his money to Mary, then Mary would have 25% more money
than Pablo. If Mary gives 20% of her money to Pablo, he would have more money
than Mary by what percent?
Answer:
81.25%
Step-by-step explanation:
x = Pablo's money
y = Mary's money
y + 0.2x = 1.25×0.8x = x
y = 0.8x
or
x = y/0.8 = 1.25y
her money is 80% of his money, or in other words, he has 25% more money than her to begin with.
but now she gives him 20% of her money.
x + 0.2y = a × 0.8y
1.25y + 0.2y = a×0.8y
1.45y = a×0.8y
a = 1.45/0.8 = 1.8125 = 81.25%
if she gives him 20% of her money, he would then have 81.25% more money than her.
Can someone help me I’m kinda stuck
Answers:
y-intercept: (0, -45)
x-intercept: (-10, 0)
==================================
Explanation:
The y intercept is the location where the line or curve crosses the y axis.
That location is (0, -45) or we can say "the y intercept is -45" as shorthand. The x value is always 0 for the y intercept.
---------------
The x intercept flips everything around from earlier. Now y = 0 is always the case and we're looking where the graph crosses the x axis. That would be at (-10, 0)
write an equation of the line that passes through the point (-8,3) with slope 6
Answer:
y = 6x+51
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 6x+b
Substitute the point into the equation and solve for b
3 = 6(-8)+b
3 = -48+b
3+48 = b
51 = b
y = 6x+51
I having a hard time figuring this out.
Answer:
33
Step-by-step explanation:
Start by adding the 3 to the other side (2/3x=22)
Then, you divide 2/3 to cancel it out. To do that, multiply 22 by 3/2 which equals to 33.
Answer:
2/3x - 3 = 19
We first isolate the variable and solve for x, (we get rid of any constants first in the process)
2/3x - 3 = 19 the three is the constant so we get rid of it by adding three to both sides.
2/3x - 3 = 19
+3 +3
2/3x = 22
Now we divide by 2/3 on both sides
X = 33
(a+b)=? hihihihihihihihihihhihihi
Answer:
c
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how are you
Ashish deposite rs 1000 every month is a recurring deposit account for period of 12 months. If the bank pays interest at a certain rate p.A. And ashish gets 12715 as the maturity value of this account at what rate of interest did he pay every month
Solution :
Given :
Principal amount, P = Rs. 1000
Time period = 12 months
The maturity value = Rs. 12,715
We know that,
[tex]$ SI = \frac{PTR}{100}$[/tex]
[tex]$SI = 1000 \times \frac{n(n+1)}{2 \times 12} \times \frac{R}{100}$[/tex]
[tex]$SI = 1000 \times \frac{12(12+1)}{2 \times 12} \times \frac{R}{100}$[/tex]
SI = 65 R
So we know,
maturity value = principal amount + SI
12715 = 1000 + 65 R
65 R = 12715 - 1000
65 R = 11715
R = 18%
So the rate is 18%
Answer:
[tex]R=11\%[/tex] p.a.
Step-by-step explanation:
Given:
the principal amount deposited each month, [tex]P=Rs. 1000[/tex]
amount after maturity of one year, [tex]A=Rs. 12715[/tex]
We have the formula as:
[tex]I=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex]
where:
R = rate of interest per annum
T = time in months
[tex]A-12P=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex] [since the principal is deposited each month]
[tex]715=\frac{1000\times R}{100}\times \frac{12\times 13}{24}[/tex]
[tex]R=11\%[/tex] p.a.
Which is the angle of elevation from C to B?
Answer:
Angle of elevation = ∠4
Step-by-step explanation:
Angle of elevation of a point point from another point is the angle formed between the line joining these points and the horizontal line.
Therefore, angle of elevation of point B from a point C = ∠4
Option with angle 4 will be the answer.
a bag contains 3 red marbles, 5 yellow marbles, and 2 green marbles. what is the probability that you will select 2 green marbles in a row if you do not replace the first marble? A) 0.020 B) 0.02 C) 0.040 D) 0.200
Answer:
B
Step-by-step explanation:
find the probability of picking the first green marble, which would be 2/10
then afterwards once the marble is removed, it would be 1/9
Multiply both 2/10 and 1/9 to get 0.022, which rounds to 0.02
Answer:
0.02
Step-by-step explanation:
3+5+2 = 10
to choose 1 green the probability is 2/10 = 1/5
if we do not replace it, then there are now 9 marbles left and only 1 green left, so 1/9
to find them both in a row, multiply
1/5 * 1/9 = 1/45 = 0.02222
Find the y-intercept of the following equation. Simplify your answer.
y=3x+9
4
Answer:
If the equation is "y=3x+9", then the y-intercept would be 9, and the slope would be 3.
Step-by-step explanation:
Answer:
The slope is 3/4 and the y intercept is 9
Step-by-step explanation:
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 3/4x +9
The slope is 3/4 and the y intercept is 9
Help me! What is the answer to this question!? Provide a step by step explanation please.
Answer:
x = -5 or x= 2
Step-by-step explanation:
|-4x-6| = 14
There are two solutions, one positive and one negative
-4x-6 = 14 -4x-6 = -14
Add 6 to each side
-4x-6+6 = 14+6 -4x-6+6 = -14+6
-4x = 20 -4x = -8
Divide by -4
-4x/-4 = 20/-4 -4x/-4 = -8/-4
x = -5 x = 2
Now we have to,
find the required value of x.
Given that,
→ |-4x -6| = 14
Let's find the both positive value and negative value,
===================
→ -4x -6 = 14
→ -4x = 14 + 6
→ -4x = 20
→ x = 20/-4
→ [x = -5]
===================
→ -4x -6 = -14
→ -4x = -14 + 6
→ -4x = -8
→ x = -8/-4
→ x = 8/4
→ [x = 2]
===================
Therefore, x is -5 (or) 2 is the answer.
express 61 as a the sum of four or less square numbers
Plans for a new shopping center call for buildings directly across the sidewalk from each other to be congruent. This computer printout shows a clothing store.
If the vertices of a home improvement store are located at (−x1,y1), (−x2,y2), (−x3,y3), and (−x4,y4), will the home improvement store be congruent to the clothing store?
Answer:
Yes, both stores will be congruent
Step-by-step explanation:
The given coordinates of the vertices of the home improvement store are;
(-x₁, y₁), (-x₂, y₂), (-x₃, y₃) and (-x₄, y₄)
The coordinates of the vertices of the clothing store are;
(x₁, y₁), (x₂, y₂), (x₃, y₃) and (x₄, y₄)
Therefore, the coordinates of the vertices of the home improvement store, corresponds to the coordinates of the vertices of the image of the reflection of the clothing store across the sidewalk (which is the y-axis)
A reflection of (x, y) across the y-axis gives (-x, y)
Given that a reflection is a rigid transformation, the dimensions (lengths and angles between corresponding sides) of the home improvement store and the clothing store are equal, therefore, the home improvement store will be congruent to the clothing store.
Answer: yes, because the home improvement store is a reflection of the clothing store.
Step-by-step explanation:
Imagine math!!!
PLEASE HELP ASAP 30 POINTS
Answer:
I don't know how to do please let me I will try solve the question
Describe and correct the error in finding the product of the binomials
The 5 in the left column should be -5
The correct product is ____
Answer:
Solution given:
(x-5)(3x+1)
distribute
x(3x+1)-5(3x+1)
3x²+x-15x-5
3x²-14x-5 is a correct product
error is:
you need to put -(sigh) infront of 5.which gives
-15x and -5
and finally we get
3x²-14x-5
Vhat is the total surface area of the square pyramid below?
14 cm
10 cm
10 cm
Answer:
See below.
Step-by-step explanation:
[tex]SA=2bs+b^2[/tex]
[tex]SA=2(10)(14)+10^2[/tex]
[tex]SA=20(14)+100[/tex]
[tex]SA=380cm^2[/tex]
Answer:
[tex]10\times 10=100[/tex]
[tex]14\times10\div2=70[/tex]
[tex]70\times4=280[/tex]
[tex]280+100=380\: cm^{2}[/tex]
OAmalOHopeO
A container of cream cheese weighs 250 grams, which is equivalent to 8.8 ounces. Calculate the missing conversions
Answer:
the picture below has the answer
Step-by-step explanation:
The missing numbers are 312.5 and 35.2
for each relation, decide whether or not it is a function
Answer:
Relation 1,2,and 4 are functions, but relation 3 not is a function.
Step-by-step explanation:
function 1 input, no function with the same input like m in relation 3.
help help............
Answer:
please send the pic again clearly
Answer:
I hope it will help you
Step-by-step explanation:
please make me brainlestthank u
the length of a photograph is 11.4 inches if the photo is enlarged so that its length is increased by 2.25 inches what the new length
We know
[tex] \\ \sf \longmapsto \: new \: length = length + increased \: length \\ \\ \sf \longmapsto \: new \: length = 11.4 + 2.25 \\ \\ \sf \longmapsto \: new \: length = 13.65in[/tex]
PLEASE HELP ASAP
Select the reason that best supports statement 1 in the given proof.
A.Given
B.Distributive Property
C. Substitution
D. Transitive Property
Answer:
A.Given
Step-by-step explanation:
Normally when starting a proof, we start with the given information
The first line is the givens < ABD and <DBC are adjacent angles
