The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The four sisters are all 2 years apart in age. The total of their ages is equal to 36 years.
Let x be the age of the youngest sister. Then the age of other sister will be x + 2, x + 4, and x + 6. Then the equation is given as,
x + x + 2 + x + 4 + x + 6 = 36
4x + 12 = 36
4x = 36 - 12
4x = 24
x = 24 / 4
x = 6
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
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If f(x) = (x^2-1)/(2x+3) then f(-4) =
a. -3
b. -(17/11)
c. -(17/5)
d. 15/11
e. 5/2
Answer:
b
Step-by-step explanation:
-4 squared = -16 -1 = -17
2(-4)= -8+3=11
thus giving you -(17/5)
Solve for x.
ASAP, please help me
Enter the decimal represented by the shaded square.
Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) > 0, sec (t) > 0.
Answer:
First Quadrant
Step-by-step explanation:
Quadrant I : sin, cos, tan, cot, sec, cosec
Quadrant II : sin, cosec
Quadrant III : tan, cot
Quadrant IV : cos , sec
HELP PLSSS PLSSSS WALLAH HELP
Answer:
30
Step-by-step explanation:
use the Pythagorean theorem
Answer:
30
Step-by-step explanation:
-10=-10+7m help me please thank you so much
Answer:
m=0
hope this helps!!:)
Step-by-step explanation:
HELP ME WALLAHI HELP HELP PLS
Answer:
15
Step-by-step explanation:
Answer:
b=1.5*10^1
Step-by-step explanation:
a^2+b^2=c^2
a=20
b=?
c=25
a=4*10^2
c=6.25*10^2
a-c=2.25*10^2
b^2=2.25*10^2
take the square root if it requires it.
b=1.5*10^1
A relay race covers a distance of 21/2 miles. Each runner on the team will run 1/4 miles how many runner needed for the team to cover the distances
Answer: 10
Step-by-step explanation:
Each mile has 4 quarter miles.
2.5 miles are covered.
4×2.5=10
Two mechanics worked on a car. The first mechanic charged $115 per hour, and the second mechanic charged $50 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $2,550. How long did each mechanic work?
How can you use ratios and rates to solve problems? Compare ratios and rates by finding equivalent ratios and rates with a common_________ Make predictions by finding a _________and multiplying by it.
Answer:
Second term
Common factor
Step-by-step explanation:
How can you use ratios and rates to solve problems? Compare ratios and rates by finding equivalent ratios and rates with a common second term. Make predictions by finding a common factor and multiplying by it.
In this figure shown, m and n are parallel lines. What’s the value x?
Note: The square is not drawn to scale.
What is the area of the square above?
Answer:
where is the square at I cannot see it
Translate and solve: 18 times r is at least 144.
(Enter your answer using interval notation.)
Answer:
18 x r =144
that would be 144 divided by 18, that would be your answer
Many states assess the skills of their students in various grades. One of the tests provided by a national association assesses the reading skills of 12th-grade students. In a recent year, the national mean score was 286 and the standard deviation was 38. Assuming that these scores are approximately Normally distributed, N(286, 38), use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
Answer:
95% of these scores are between 210 and 362.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 286, Standard deviation = 38
Use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
This is within 2 standard deviations of the mean. So
286 - 2*38 = 286 - 76 = 210
286 + 2*38 = 286 + 76 = 362
95% of these scores are between 210 and 362.
In sanja primary school the male students are 56 and female students are 44%. What are the total students?
Answer:
100
Step-by-step explanation:
Male students take up 100%-44% = 56% of the whole school.
Let x be the total number of students.
56/x = 56%
56/x = 56/100
x = 100
Therefore there are 100 students in total.
Does anyone knows the answer to these two?
Answer:
It would equal 25/38.29
Step-by-step explanation:Hope this helps!
is 369/100 greater than 849/100
9514 1404 393
Answer:
no
Step-by-step explanation:
When fractions have the same denominator, you can compare the numerators.
369 < 849
369/100 is not greater than 849/100
__
Here, you can convert these to decimal numbers and do the comparison in the usual way:
3.69 < 8.49
The most-significant digits are in the same number place (units), and they are different. The number with the smaller most-significant digit is smaller.
Answer:
no
Step-by-step explanation:
369/100=3.69
849/100=8.49
3.69<8.49
Help me find answer to this
Answer:
[tex]\angle B=41.81^\circ[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:
[tex]\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:
[tex]\displaystyle \sin \angle B=\frac{2}{3}=0.667[/tex]
Calculating the inverse sine function:
[tex]\angle B=\arcsin (0.667)[/tex]
[tex]\boxed{\angle B=41.81^\circ}[/tex]
Find the perimeter and area of a rectangle with the following length and breadth:
i. L = 10.5m, B = 5.5m
ii. L = 15cm B = 6.8cm
Answer:
perimeter: 2(l+b) , area : multiply by breadth
Step-by-step explanation:
perimeter: 2(10.5+5.5)
:206.5m ans
area: 10.5multiply bye 5.5
:57.75m ans
2: perimeter: 2(15+6.8)
: 36.8cm ans
area : 15 multiply by 6.8
: 102cm ans
Which of the following best forms the figure shown?
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 line segments that meet at an
endpoint
2 rays that meet at an endpoint
My Procluess >
Answer: 2 rays that meet an endpoint
Which row of the table reveals the y-intercept of function ? X f(x) 2 -1 0 2 1 0 2 ch -6 3 -24
Answer:
2, -1
Step-by-step explanation: Got it right on Edge
The row of the table of the y-intercept of the function is f ( 2 ) = -6
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( -1 ) = 2^2/3
f ( 0 ) = 2
f ( 1 ) = 0
f ( 2 ) = -6
f ( 3 ) = -24
Hence , the function is f ( 2 ) = -6
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Answer:
6 houses
Step-by-step explanation:
what happens to the graph when a zero is repeated vs when a zero is not repeated? Use y=(x-3)^2 and y=x-3 to explain.
Answer:
look at the screen shot
Step-by-step explanation:
20 over 35 equals 110 over b
Answer:
[tex]b=192.5[/tex]
Step-by-step explanation:
We can set up the following proportion:
[tex]\frac{20}{35}=\frac{110}{b}[/tex].
Cross-multiply to solve for [tex]b[/tex]:
[tex]20b=110\cdot 35,\\b=\frac{110\cdot35}{20}=\fbox{$192.5$}[/tex].
The seller of a watch marked up the price by 25%, and the new price is $325.00. What was the watch’s original price before the markup?
what is percent increase from 5 to 8
The percentage increase from 5 to 8 is 60% .
Given,
Number increased by 5 to 8 .
Now,
Percentage increase formula = Final - Initial/Initial * 100
Now initial value is 5
Final value = 8
Substitute the values in the formula,
Percentage increase formula = 8 - 5 / 5 * 100
Percentage increase = 60%
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3x + 4y + 4 > 0
how would i solve this?
The length of a rectangle is 4 cm less than 3 times its width. If the width is x cm, then the length is
Answer:
Length: 3w-4
Step-by-step explanation:
Length: 3w-4
Width: W
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Complete the table with the outputs that go with a given input.
Reminder that the tenths place is the digit to the right of
the decimal. 3/4 = 0.75. The 7 is in the tenths place so
name the
we put 7 as the output.
7
input
output
*
digit in the
tenths place
를
2.35
42
1
16
Answer:
If they don't have a decimal, the output will be zero.
Input = output
3/4 = 0.75 = 7
2.35 = 3
42.00 = 0
1.00 = 0
16.00 = 0
Please solve the question below 2.0
Answer:
The answer is B
Step-by-step explanation:
Just look at the picture