The equation for this statement:
2x – 14 = 6
=> 2x = 6 + 14
=> 2x = 20
=> x = 20/2
=> x = 10
Jon borrows $8.75 from his friends to pay
for snacks, and $13.50 from his sister to go
to the movies. How much money does he
need to repay?
Classify the indicated triangular shape by its sides and by its angles.
acute scalene
equangular equilateral
acute isosceles
obtuse isosceles
Step-by-step explanation:
step 1. all the side length are different therefore all of the internal angles are different.
step 2. a triangle with all different angles is scalene.
step 3. all of the angles are less than 90°
step 4. a triangle with all angles less than 90° is acute.
"What is the difference between a ratio and its related rate and unit rate?"
Answer:
Step-by-step explanation:
The ratio is the relationship of two numbers. ... A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.
The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.
What is a ratio?It shows how many times one value is contained in another value.
The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Ratio and unit rate
Ratio and unit rate both are written in the form of a numerator and a denominator.
The ratio is a measure of two units contained in a whole amount.
Example: 3 apples and 3 mangoes are contained in a bag
The ratio of apple and mango is 3:3 = 1:1
The unit rate is also a measure between two units but the denominator should always be one.
Example: A man can run 10 miles in 10 hours
In one hour 1 mile.
The unit ratio is 10miles per hour.
Thus,
The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.
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Need help wit this- pic below
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
We can find x using either the measure of angle B, or the measure of angle A.
Using A, we have ...
48 = x^2 -8x
Adding 16 completes the square:
64 = x^2 -8x +16 = (x -4)^2
Then the positive solution is ...
√64 = x -4
x = 4 +8 = 12
The triangles are similar when x=12.
__
Check
We expect angle B to be 84° when x=12:
(x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed
BROOOOOOOOOOOOOOO HELPPPPPPPPP
Please help for number 8 I don't understand.
Answer:
8a. x = 16√3
8b. y = 8√3
Step-by-step explanation:
8a. Determination of the value of x
Adjacent = 24
Hypothenus = x
Angle θ = 30°
The value of x can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent /Hypothenus
Cos 30 = 24 / x
√3/2 = 24/x
Cross multiply
x × √3 = 2× 24
x × √3 = 48
Divide both side by √3
x = 48/√3
Rationalise
x = 48/√3 × √3/√3
x = 48√3 / √3 × √3
x = 48√3 / 3
x = 16√3
8b. Determination of the value of y
Opposite = y
Adjacent = 24
Angle θ = 30°
The value of y can be obtained by using Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 30 = y / 24
1 / √3 = y /24
Cross multiply
y × √3 = 1 × 24
y × √3 = 24
Divide both side by √3
y = 24 /√3
Rationalise
y = 24 /√3 × √3/√3
y = 24 ×√3 / √3 × √3
y = 24√3 / 3
y = 8√3
Use I = PRT to solve.
(time is in years)
1 = $270,000
P = $150,000
R = 12%
Find T.
Answer:
Time T = 15 year
Step-by-step explanation:
Given:
Interest I = $270,000
Principal P = $150,000
Rate R = 12% = 0.12
Find:
Time T
Computation:
I = PRT
270,000 = (150,000)(0.12)(T)
270,000 = (18,000)(T)
Time T = 15 year
the difference of two number one of which is one third of the other is 18 find the number
Answer:
Most of the important things in the world have been accomplished by people who have kept on trying when there seemed to be no hope at all
Step-by-step explanation:
you can do it!!!
Is either x=5 or x=3 a solution to 11- x <7
Answer:
x = 5Explanation:
11 - x < 7
11 minus a number is less than 7Insert 5 into the equation
11 - 5 < 7
Simplify
6 < 7
This is trueInsert 3 into the equation
11 - 3 < 7
Simplify
8 < 7
This is falsex = 5 is a solution to the equation 11 - x < 7- PacificNorthwest
Answer:
x=5 is the correct answer
Step-by-step explanation:
First we start off to see if x=3 could work (put the x value in)
11-3<7
(11-3=8)
8<7 This is false
Now lets try the other one-
11-5<7
(11-5=6)
6<7
The value x=5 is the correct answer
P.S If you don't mind, could I have brainlest? (if you think my answer is the best)
Three even numbers sum up to 108. The smaller is half the larger and the middle number is 3/4 the larger. What
are the three numbers
Answer:
Step-by-step explanation:
Represent the three even numbers as 2x, 2y, 2z, where x,y,z are integers.
2x+2y+2z = 108
x+y+z = 54
Let x≤y≤z
x = z/2
y = ¾z
z/2 + 3z/4 + z = 54
2z/4 + 3z/4 + 4z/4 = 54
2z + 3z + 4z = 216
9z = 216
z = 24
x = z/2 = 12
y = ¾z = 18
The numbers are 24, 36, 48
The number of country A forces in country B decreased to approximately 34,000 in 2014 from a high of about 100,000 in 2008. The amount of country A funding for country B security forces also decreased during this period. The function f (x) = -1.330x + 5.149x +5.517 can be used to estimate the amount of country A funding for country B security forces, in billions of dollars, x years after January 2007. In what year was the amount of country A funding for country B security forces about $ 10.5 billion?
Answer:
2009
Step-by-step explanation:
The question can be interpreted as:
[tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]
Required
Determine x when f(x) = 10.5
Substitute 10.5 for f(x) in [tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]
[tex]10.5 = -1.330x^2 + 5.149x + 5.517[/tex]
Collect Like Terms
[tex]-1.330x^2 + 5.149x + 5.517-10.5=0[/tex]
[tex]-1.330x^2 + 5.149x -4.983=0[/tex]
Using quadratic formula
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -1.330[/tex]
[tex]b = 5.149[/tex]
[tex]c = -4.983[/tex]
[tex]x = \frac{-5.149 \± \sqrt{5.149^2 - 4*-1.330*-4.983}}{2*-1.330}[/tex]
[tex]x = \frac{-5.149 \± \sqrt{0.002641}}{-2.660}[/tex]
[tex]x = \frac{-5.149 \± 0.0514}{-2.660}[/tex]
Split:
[tex]x = \frac{-5.149 + 0.0514}{-2.660}\ or\ x = \frac{-5.149 - 0.0514}{-2.660}[/tex]
[tex]x = \frac{-5.0976}{-2.660}\ or\ x = \frac{-5.2004}{-2.660}[/tex]
[tex]x = 1.92\ or\ x = 1.96[/tex]
Both values of x approximates to 2.
So:
[tex]x = 2[/tex]
2 years after 2007 is 2009.
Hence, the funding is about $10.5 billion in 2009
Need help on this question, please help!
Answer:
I think it is 50
Step-by-step explanation:
a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h. Pls answer. You'll get 100 points.
Answer:
5 km/h or 6 km/hStep-by-step explanation:
Let the speed of the boat be xSpeed against the current in the river is x - 2Time in the river:
6/(x - 2)Time in the lake:
15/xThe difference:
6/(x - 2) = 15/x - 1Solve for x to find the speed of the boat
Multiply both sides by x(x - 2) to clear the fraction:
6x = 15(x - 2) - x(x - 2)6x = 15x - 30 - x² + 2xx² - 11x + 30 = 0(x - 5)(x - 6) =0x -5 = 0, x - 6 = 0x = 5 km/h, x = 6 km/hAnswer:
5km/hr or 6km/hr
Step-by-step explanation:
Which fraction is greater than 2/5? 3/10, 7/10, 2/4, 3/6
Answer:
all of them are except for 3/10
Step-by-step explanation:
Answer:
3/6
Step-by-step explanation:
plz mark as brainliest
thank you
19NBoli
A certain forest covers an area of 3500 km² suppose that each year this area decreases by 6.75% what will the area be after 15 years?
Answer:
Sure na bayan napo bayan
In Exercises 3 and 4, find the values of x and y
plz help!!!
Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
The value of length y is 30 and the value of angle x is 20 degrees and this can be determined by using the properties of an equilateral triangle.
Given :
The triangle ABC is given in the figure.
In an equilateral triangle, all angles are equal and therefore, each side is equal.
16 + y = 46
y = 46 - 16
y = 30
An angle in the triangle is given that is 80 degrees and angle C is 60 degrees because it is an angle of an equilateral triangle.
Applying sum of interior angles property:
80 + 60 + (60 - x) = 180
200 - x = 180
x = [tex]20^\circ[/tex]
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Write the equation for the graphed function
Answer:
4x² + 16x + 15 = 0
Step-by-step explanation:
We'll begin by determining the solutions to the graph.
The solutions to the graph is obtained by taking the values where the graph cut through the x–axis. This is illustrated below:
The solutions to the graph are:
x = –1.5 or –2.5
Finally, we shall determine the equation for the graph as follow:
x = –1.5 or x = –2.5
x = –3/2 or x = –5/2
Cross multiply
2x = –3 or 2x = –5
Rearrange
2x + 3 = 0 or 2x + 5 = 0
Combine
(2x + 3)(2x + 5) = 0
Expand
2x(2x + 5) + 3(2x + 5) = 0
4x² + 10x + 6x + 15 = 0
4x² + 16x + 15 = 0
Thus, the equation for the graph is:
4x² + 16x + 15 = 0
Find the measure of Angel 1 and 2.
1. Jerry has 56.92 centimeters (cm) of wire. He uses 2 pieces of the wire. Each piece he uses is 7.37 cm long. What is the length of the remaining wire, rounded to the nearest tenth of a centimeter?
2.
write ⅔of 4 as a fraction
Answer:
2/3 of 4=8/3or 2 2/3 is your answer
Answer:
I have 2.66667 As a fraction it is 4/1
Step-by-step explanation:
I'm not completely sure I'm new to this :|
What is the mean absolute deviation for 299, 281, 285, 269, 280, 269, 286, 287?
Answer:
the answer is 7
Step-by-step explanation:
The mean absolute deviation of the scores 299, 281, 285, 269, 280, 269, 286, 287 is, 7.5
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Now, We know that;
The mean absolute deviation (MAD) is a measure of the dispersion of a set of data. It is calculated as the average absolute difference between each data point and the mean of the set.
Hence, To find the MAD for the given scores, first find the mean of the scores:
= (299 + 281 + 285 + 269 + 280 + 269 + 286 + 287) / 8
= 280.5
Then, find the absolute difference between each score and the mean, and take the average of these differences:
= (|299 - 280.5| + |281 - 280.5| + |285 - 280.5| + |269 - 280.5| + |280 - 280.5| + |269 - 280.5| + |286 - 280.5| + |287 - 280.5|) / 8
= (18.5 + 0.5 + 4.5 + 11.5 + 0.5 + 11.5 + 5.5 + 6.5) / 8
= 7.5
So, the mean absolute deviation of the scores is 7.5.
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Marquis and Nikki are saving up for new iPads. Marquis has already saved up $130 and earns $25 a week mowing lawns in his neighborhood. Nikki has $55 in birthday money. She earns $40 a week babysitting her cousins after school. Write an equation to determine when they will have saved up the same amount of money. Use w for weeks
Answer:
you would add 25, 130,55, and 40 all together and than get ur answer
Step-by-step explanation:
Jared bought a 15-pound bag of turkey for Thanksgiving. His family ate 6 ⅗ pounds of the food on the morning of Thanksgiving and 4 ⅘ for dinner. Jared decided to use ½ of the remaining turkey to make sandwiches for lunch. How much turkey, in pounds, did Jared use to make sandwiches?
Answer:
1 4/5 pounds
Step-by-step explanation:
15-6= 9
9-4=5
3/5+4/5=7/5 or 1 2/5
5-1=4
4-2/5=3 3/5
half of 3 is 1.5 or 1 5/10
3/5=6/10 half of 6/10 is 3/10
3/10+5/10= 8/10
simplify 1 8/10= 1 4/5
Noah solved three math problems. The first problem took him 1 minute. The second problem took him 30% longer than the first problem, and the third problem took him 50% longer than the second problem. How long did it take Noah to solve all three problems?
Suppose that c is a number for which the equation c÷c = 1 is false. What is c?
Answer:
Hope it help
Mark me as brainliest
Step-by-step explanation:
en una rampa inclinada un ciclista avanza una distancia horizontal de tan solo 77 metros ¿cuál es la altura en metros de esa rampa
Answer:
English?
Step-by-step explanation:
Find the third, fifth, and eleventh terms of the sequence described by the rule.
A(n) = - 6+ (n - 1)(6)
A(3)= ?
Answer:
A(3) = 6
A(5) = 18
A(11) = 54
PLS MARK AS BRAINLIEST
I need help please help me solve the the table
Answer:
cool
Step-by-step explanation:
37% of what number is 48?
Answer:
129.73
Step-by-step explanation:
Answer:
48 is 37% of 129.72973
I'm stuck on this!!can someone pls help me
Step-by-step explanation:
i and iii are correct. you are supposed to substitute and find the correct value