Answer:
Smallest Number = 35
Other Number = 42
Step-by-step explanation:
Let the smaller number be x.
Let the other number be y.
Given:
x : y = 5 : 6
That is,
[tex]\frac{x}{y} = \frac{5}{6}[/tex]
[tex]=> 5y = 6x\\\\=>x = \frac{5y}{6}[/tex]
Next: Let the smaller number be reduced by 5, x - 5
Let the other number be increased by 3, y + 3
Given : (x - 5) : (y + 3) = 2 : 3
That is,
[tex]\frac{x-5}{y+3} = \frac{2}{3}\\[/tex]
[tex](x-5) \times 3 = (y+3)\times 2\\\\substitute \ x = \frac{5y}{6}\\\\3(\frac{5y}{6} -5) = 2y + 6\\\\\frac{5y}{2} - 15 = 2y + 6\\\\\frac{5y}{2} - 2y = 6 + 15\\\\\frac{5y-4y}{2} = 21\\\\y = 21 \times 2 = 42\\\\Substitute \ y \ in \ x = \frac{5y}{6} \\\\x = \frac{5 \times 42}{6} = 35[/tex]
The sidewalk tiles leading to the town library are shaped like regular hexagons. Which of the following describes a regular hexagon?
a figure with 6 congruent sides and 6 congruent angles
a figure with 6 sides and angles that are not congruent
a figure with 5 sides and 5 angles that are not congruent
a figure with 5 congruent sides and 5 congruent angles
Answer:
D
Step-by-step explanation:
hope its right =)
"The sidewalk tiles leading to the town library are shaped like regular hexegons. Which of the following describes a regular hexagon"
A. a figure with 6 congruent sides and 6 congruent angles
B. a fugure with 6 sides and angles that are not congruent
C. a figure with 5 sides and 5 angles that are not congruent
D. a figure with 5 congruent sides and 5 congruent angles
Answer: The answer is A
Explanation: A regular hexagon/normal hexegon always has 6 congruent sides and 6 congruent angles.
I hope this helped! :)
I NEED HELP PLEASE HELP ME! I need to get this correct! Anyone
Answer:
Absolute error = 0.6m
Percentage error = 6%
Step-by-step explanation:
Given that :
Actual height = 10.4 m
Estimated height = 11 m
Tbe percentage error :
The absolute error :
|Actual value - Estimated value|
|10.4 - 11| = 0.6 m
Percentage error :
|Actual value - Estimated value| / actual value * 100%
(0.6 / 10) * 100%
0.06 * 100%
= 6%
For what values of c will the quadratic equation below have two real solutions.
8x^2 − 13x + c = 0
Enter the answer as an inequality with c rounded to the nearest one-hundredth.
Answer:
c > 5.28
Step-by-step explanation:
From the quadratic formula when the quantity under the square root sign, known as the determinant, is positive there will be two real solutions
b² - 4ac > 0
(-13)² - 4(8)c > 0
169 - 32c > 0
-32c > -169
c > 5.28125
Rounded
c > 5.28
What is the probability that a given student is on financial aid, given that he or she is a graduate?
rounded to the nearest percent
[ ? ] %
Answer:
72Step-by-step explanation:
[tex]\frac{1879}{2610} = 0.719 = 72[/tex]
What is the length of NP?
Answer:
c. √174
Step-by-step explanation:
NP²= 10²+7²+5²=100+49+25= 174
NP = √174
The length of NP would be; √174
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
We are given the measure of sides;
NP²= 10²+7²+5²
NP²=100+49+25
NP²= 174
NP = √174
Learn more about Pythagoras' theorem here:
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70% OFF!
The original price of a chandelier is $440. How much will Victoria pay if she buys it during the
sale?
Answer:
$132
Step-by-step explanation:
$440-440×0.70
=$132
Find the area please
Step-by-step explanation:
Area of a triangle = ½(BASE X HEIGHT)
= ½(10x5)
=½(50)
=25in²
Step-by-step explanation:
Equation is
A=b*h/2
so:
5*10=50
50/2=25
25in²
What is the equation of a line that is perpendicular to y = 3x -2 and passes
through the point (6, 8)?
O A. y= -1/3x+10
O B. y= -1/3x + 4
O C. y= 1/3x+6
O D. y= -1/3x+8
Answer:
A. y=-1/3x+10
Step-by-step explanation:
Perpendicular gradients(slopes) are negative reciprocals so
m=-1/3 then use the point (6,8) to find the equation of the line
y=mx+b
8=(-1/3)(6)+b
8=-2+b
b=10
y=-1/3x+10
Can someone pls help me 26 x 2/3
Answer:
52/3
Pretty simple just multiply 26 to the 2 and put the 3 to the bottom.
Answer:
C, and D are both correct options.
Step-by-step explanation:
Have a nice day! :-)
asnwer for brainliest !!! <33
Answer:
24
Step-by-step explanation:
Let's do the smaller parts at the edge.
The formula for a triangle is 1/2bh
The base is 3 the height is 4
3 times 4 is 12
12 divided by 2 is 6
Since there are two of the same triangle on the edge both of the triangle's area is 6 which is 12
No for the upper triangle, the base is 6 and the height is 4
4 times 6 is 24
24 divided by 2 is 12
12 plus 12 is 24
The answer is
The area of the shaded parts of the triangle is 24 in^2
Hope this helps!
Someoneeeee help I don’t get it
Answer:
the answer is -2,9 lollololl
make a table where the constant rate of change is 6 inches for every foot
It should be noted that a table where the constant rate of change is 6 inches for every foot will be:
1 foot = 6 inches
2 foot = 12 inches.
3 feet = 18 inches.
4 feet = 24 inches
5 feet = 30 inches.
How to illustrate the information?It should be noted that an expression is used to show the relationship about the numbers given. In this case, it should be noted that there's a constant rate if 6 inches for every foot.
This means that there will be a difference of 6 inches for each foot.
Therefore, 1 foot = 6 inches
2 foot = 2 × 6 = 12 inches.
3 feet = 3 × 6 = 18 inches.
4 feet = 4 × 6 = 24 inches
5 feet = 5 × 6 = 3 inches.
This illustrates that that there is a constant relationship.
Learn more about number on:
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Draw the graph of y = 2x - 5 for -3[tex]\leq x\leq -5[/tex]
Answer and Step-by-step explanation:
I will be using Desmos to show you the graph.
So, draw your line from the equation, and then lightly shade the left and ride side. That middle side is where there is no solutions for -3 ≤ x ≤ -5 for y = 2x - 5.
The parts that are shaded have the solutions.
#teamtrees #PAW (Plant And Water)
Identify the unlike terms in the expression:
3a + 11b + 30 + 4a + 3b
Answer: 7a+14b+30
How to: Combine like terms
Have a great day and stay safe ! sorry if im wrong
Estimate the difference of the decimals below by rounding to the nearest whole number.
16.058
- 6.143
Step-by-step explanation:
16-6=10
because 16.058 rounds down
6.143 rounds down
Solve the following using substitution method
Solution :
2a + 2b = 7 ...1)
4a + 3b = 12 ...2)
In equation, 1)
a = (7 - 2b)/2 ...3)
Putting value of a in equation 2) we get :
4 × (7 - 2b)/2 + 3b = 12
2( 7 - 2b ) + 3b = 12
14 - 4b + 3b = 12
b = 2
Putting value of b in 3) we get :
a = ( 7 - 2×2)/2
a = 3/2 = 1.5
Now,
2x - 3y = 16 ...5)
x + 2y = -6 ...6)
x = -6 - 2y
Putting above value of x in eq 5) , we get :
2( -6 - 2y ) - 3y = 16
-12 - 4y - 3y = 16
7y = -28
y = -4
x = -6 - ( 2× -4 )
x = 2
Hence, this is the required solution.
Give an example of a physical entity that is not quantized, in that it is continuous and may have a continuous range of values.
Answer:
contrary wise the energy of unbound states is not quantized as the wave function is not subject to the previous boundary condition
Item 3 Which measurement is equivalent to 1 kilometer? 10 meters 100 centimeters 1,000 meters 1,000 centimeters
Answer:
1,000 meters
Step-by-step explanation:
What is the meaning of backtracking?
Answer:
Retracing your steps
Step-by-step explanation:
Answer:
Backtracking is a general algorithm for finding all (or some) solutions to some computational problems, notably constraint satisfaction problems, that incrementally builds candidates to the solutions, and abandons a candidate ("backtracks") as soon as it determines that the candidate cannot possibly be completed to a valid solution.[1]
if that is not what you are looking for then the other option would be retracing your steps
Step-by-step explanation:
I need help on this question
Answer:
C. y = 8x
Step-by-step explanation:
Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.
[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]
Marisol:
[tex]m = \frac{18-12}{3-2} \\m=6[/tex]
Timothy:
[tex]m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9[/tex]
Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.
Suppose Diana, an educational researcher at a local university, wants to test the impact of a new Spanish course that integrates cultural-immersion teaching techniques with standard teaching practices. She selects a simple random sample of 64 freshmen and divides them into 32 pairs, matched on IQ and high school GPA. She randomly selects one member of each pair to take the new course, while the other member in the pair takes the traditional course.
Next, Diana records the course grade, tallied on a scale from 0 to 4, for all sample members at the end of the semester, and she computes the difference in grades between the members in each matched pair by subtracting the traditional course grade from the new course grade. She wants to determine if the new Spanish course improves or weakens student performance. She runs a matched-pairs t-test to test the null hypothesis, H0:μ=0, against the alternative hypothesis, H1:μ≠0, where μ is the mean course grade difference for the student population.
The sample statistics for Diana's test are summarized in the table.
Variable description Sample mean Sample standard deviation Standard error estimate
traditional course grade x⎯⎯trad= 3.33496 strad=2.02198 SEtrad=0.33700
new course grade x⎯⎯new=3.45287 snew=2.11043 SEnew=0.35174
difference (new − traditional) x⎯⎯=0.11791 s=0.31452 SE=0.05242
Although Diana does not know the standard deviation of the underlying population of course grade differences, she assumes that the population is normally distributed because the sample data are symmetric, single-peaked, and contain no outliers.
Required:
Compute the t-statistic for Diana's matched-pairs t-test.
Answer:
89yuyyygvghhhhhhnnn76yyyyy
Which expression is equivalent to (2213 61/3,1/2;
Answer:
E.
Step-by-step explanation:
[tex](a^{\frac{2}{3}} b^{\frac{1}{3}}) ^\frac{1}{2} = a^{{\frac{2}{3}} \times\frac{1}{2}} \times b^{{\frac{1}{3}} \times \frac{1}{2} } = a^{\frac{1}{3}} b^{\frac{1}{6}}[/tex]
One minus the product of four and a number z
Answer:
1-(4×z) is the expression
Answer:
1 - 4z
Feel free to mark this as brainliest :D
ilang metro ang 1300 sentimetro?
a. 1metro
b. 13 metro
c. 130 metro
Answer:
1300 cm = 13 m
Step-by-step explanation:
We need to find meters in 1300 cm.
We know that,
1 m = 100 cm
1 cm = (1/100) m
It means,
[tex]1300\ cm=\dfrac{1300}{100}\ m\\\\=13\ m[/tex]
Hence, there are 13 m in 1300 cm.
Solve the following system of equations.
y=2x+16
2x−7y=−64
Possible answers
-4,8 -1,11 -7,11
Answer:
x = -4, y = 8
Step-by-step explanation:
y = 2x + 16 -----(1)
2x - 7y = - 64 -------(2)
Substitute (1) in (2)
2x - 7(2x + 16) = - 64
2x - 14x - 112 = - 64
-12x = -64 + 112
-12x = 48
x = -4
Substitute x = -4 in (1)
y = 2(-4) + 16
y = -8 + 16
y =8
Answer:
It is -4,8.
Step-by-step explanation:
y=2x +16
{
-7y=-2x-64
-6y=-48
y=8 then using substitution you will get x=-4
The graph of g(x) below resembles the graph of f(x)=x^2, but it has been changed. Which I'd these is the equation of g(x)?
Answer:
[tex]A) \displaystyle g(x) = 4 {x}^{2} + 2[/tex]
Step-by-step explanation:
recall that,
[tex] \displaystyle \rm Q _{ \text{standard}} :g(x) = {ax}^{2} + bx + c[/tex]
remember that,
Larger values of 'a' squash the curve inwardsSmaller values of 'a' expand it outwardsAnd negative values of 'a' flip it upside downsince the Parabola squashes inwards we assume a=4
we know that,
when c is positive the Parabola goes upwardswhen c is negative the parabola goes downwardsas the Parabola goes upwards by 2 units we assume c is 2
hence,
our best answer choice is a
If a^b = 1, what is the value of 'b'?
Answer:
Step-by-step explanation:
the value of b is 0.
the base with the power 0 is always 1
Consider the standard form of an exponential function:
y = a (b)^x
1. How does changing the base number (inside the parentheses) change your graph? (10 points)
2. How does changing the number outside the parentheses change your graph? (10 points)
Problem 1
If 0 < b < 1, then we have exponential decay. The curve will decrease downhill as you move from left to right.
If b > 1, then we have exponential growth and the curve goes uphill as we move from left to right.
Examples: y = 2(0.5)^x is exponential decay while y = 2(1.2)^x represents exponential growth.
Note that the base b cannot be negative.
===========================================
Problem 2
Plug x = 0 into the general template given
y = a(b)^x
y = a(b)^0
y = a(1)
y = a
Plugging x = 0 leads to the output y = a
Therefore, the point (0,a) is on the curve. This is the y intercept. It's where the curve crosses the y axis. If you change the value of 'a', then you change the y intercept.
Examples:
y = 2(5)^x has y intercept 2y = 3(0.8)^x has y intercept 3HELP ME ANSWER THESE PLEASEE IM IN SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED
Answer: hoped this helped!
Step-by-step explanation:
2) 9/10
3) 2/5
5) 4/5
6) 1/5
7) 48 8/9
Number 1 is wrong correct answer: 5/12
On Monday the temperature was -5°F. How many degrees below zero was the temperature