Answer:
The multiplication table does not have to end at factors of 9. You can multiply 3 and 8 by any factor to form an equivalent ratio.
Step-by-step explanation:
The ratio that is equivalent to 3/8 is 9/24.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
To determine an infinite number of ratios that are equivalent to 3/8, multiply by a ratio equivalent to 1
A ratio equivalent to 1 is a ratio such as 2/2 and 3/3.
This multiplication is equivalent to multiplying by 1.
So the ratio does not change.
One example is to multiply 3/8 by 2/2.
3/8 and 6/16 have the same ratio, 3:8.
Divide each numerator by each denominator.
⇒ 3÷8
⇒ 0.375
⇒ 6÷16
⇒ 0.375
It will also generate the same outcome if you divide each numerator by each denominator.
Hence, the ratio that is equivalent to 3/8 is 9/24.
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Mauna Loa, a volcanic mountain in Hawaii stands 4170m above sea level and extends to 13000 m below sea level what is the total height of Mauna Loa
The total height of Mauna Loa is -8,830 meters.
Explanation:The total height of Mauna Loa, a volcanic mountain in Hawaii, can be calculated by adding its height above sea level to its depth below sea level. The mountain stands at 4,170 meters above sea level and extends to a depth of 13,000 meters below sea level. To find the total height, we add these two values: 4,170m + (-13,000m) = -8,830 meters.
Please help me!! I'm not very good with math.
Answer:
SteEarth's surface covered by water is 352,000,000 + 9 x 10^6 = 352,000,000 + 9,000,000 = 361,000,000 = 3.61 x 10^8p-by-step explanation:
A line is drawn so that it passes through the points (3, 4) and (4,1).
What is the slope of the line
Answer:
-2
Step-by-step explanation:
the formula to find slope with two points is y2-y1/x2-x1.
for this problem it would be solved as follows:
1-3/4-3
-2/1 = -2
The slope of a line is the change in the y values over the corresponding x values.
The slope of the line that passes through (3, 4) and (4,1) is -3
Given that:
[tex](x_1,y_1) = (3,4)[/tex]
[tex](x_2,y_2) = (4,1)[/tex]
The slope (m) is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{1-4}{4-3}[/tex]
[tex]m = \frac{-3}{1}[/tex]
[tex]m = -3[/tex]
Hence, the slope is -3.
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Find an area of a triangle with a base of 25 feet and height of 8 feet. What’s the formula for a triangle?
Answer:
100 feet squared: can u plz give me the brainliest answer!!!!!!!!! plz!!!!!!!!!!!
Step-by-step explanation:
Area of triangle: base x height divided by 2.
25 x 8 = 200
200/2 = 100
Have a nice day!!!!!!!!!! :-)
KA
Charlie jogs 3 miles south and then 4 miles west. If Charlie were to jog straight home, without changing direction, how far would he have to jog?
Answer:
He would to jog 5 miles to go direct to his home
Step-by-step explanation:
* Lets explain how to solve the problem
- Charlie jogs 3 miles south and then 4 miles west
- We need to know if Charlie were to jog straight home, without
changing direction how far he have to jog
- Remember: the East-west line is perpendicular to the north-south line
∵ He jogs 3 miles south
∵ He jogs 4 miles west
∵ South ⊥ west
- We can consider that the west and east distance with the straight
distance to home formed a right triangle its legs are the south and
west distance and the straight distance is its hypotenuse
∴ By using Pythagoras Theorem we can find the straight distance
- Remember: In Pythagoras Theorem [tex]c=\sqrt{a^{2}+b^{2}}[/tex]
where c is the hypotenuse , a and b are the legs of the right Δ
∴ The straight distance = [tex]\sqrt{(3)^{2}+(4)^{2}}\sqrt{9+16}=\sqrt{25}=5[/tex]
∴ He would to jog 5 miles to go direct to his home
What is the slope of the joining ( 8,1 ) and (24,9)
Answer:
[tex]\large\boxed{slope=\dfrac{1}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (8, 1) and (24, 9).
Substitute:
[tex]m=\dfrac{9-1}{24-8}=\dfrac{8}{16}=\dfrac{8:8}{16:8}=\dfrac{1}{2}[/tex]
Answer is provided in the image attached.
6x + 5y = 147
8x + 4y = 156
Answer:
[12, 15]
Step-by-step explanation:
{6x + 5y = 147
{8x + 4y = 156
-¾[8x + 4y = 156]
{6x + 5y = 147
{-6x - 3y = -117 ← New Equation
________________
2y = 30
___ ___
2 2
y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x
So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all x-terms. It does not matter which variable you choose to eliminate, as long as you know what you are doing.
I am joyous to assist you anytime.
Which of the following is not a long term debt?
Paying off your credit card each month
Taking out a 15 year fixed rate mortgage
Financing an automobile purchase with a 36 month loan
Financing your college education with a 30 year loan
Your friend is confused about types of debts. Which of the following would most likely help his financial portfolio by adding an appreciating asset?
boat loan
car loan
mortgage
none of the above
Which of the following financing options has the least (future) obligation from the student?
scholarship
loan
work study
Which is something you should consider before taking a loan out for college?
interest rate
income potential
length of the loan
all of the above
Answer:
1. Paying off your credit card each month
2. Mortgage
3. ?
4. All of the above
I'm not sure about the 3rd question.
Final answer:
Paying off a credit card each month is not a long-term debt. A mortgage is most likely to add an appreciating asset to a financial portfolio. Considering interest rates, income potential, and loan length is critical before taking out a loan for college.
Explanation:
Which of the following is not a long term debt? Paying off your credit card each month is not considered a long-term debt. Long-term debts typically extend beyond one year and include options like a 15-year fixed-rate mortgage, a 36-month automobile loan, or a 30-year college education loan.
Your friend is confused about types of debts. Which of the following would most likely help his financial portfolio by adding an appreciating asset? A mortgage is most likely to add an appreciating asset to your financial portfolio, unlike boats and cars, which generally depreciate over time.
Which of the following financing options has the least (future) obligation from the student? A scholarship has the least future obligation from a student as it typically does not require repayment, unlike loans or work-study programs that entail earning or repaying the funds.
Which is something you should consider before taking a loan out for college? Before taking out a loan for college, you should consider all of the above: the interest rate, income potential of your chosen field, and the length of the loan.
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
a. 57x+57=-75x-7557x+57=−75x−75
b. -75x+57=-75x+57−75x+57=−75x+57
c. 75x+57=-75x+5775x+57=−75x+5
d. −57x+57=−75x+75
Answer:
b. -75x+57=-75x+57
Step-by-step explanation:
If an equation after solving does not give the solution but give a true statement then the equation has infinitely many solution,
In option a.
57x+57=-75x-75
57x + 75x = -75 - 57
132x = -132
⇒ x = -1
i.e. it has only one solution,
In option b.
-75x+57=-75x+57
-75x + 75x = 57 - 57
0 = 0 ( True )
i.e. it has infinitely many solution.
In option c.
75x+57=-75x+57
75x + 75x = 57 - 57
150x = 0
⇒ x = 0
i.e. it has only one solution,
In option d.
-57x+57=-75x+75
-57x + 75x = 75 - 57
18x = 18
⇒ x = 1
i.e. it has only one solution.
Answer:
I don’t know if this is different or whatever but I got C
Step-by-step explanation:
Sorry if it’s wrong!
edit it is actually in a different order so make sure to check!
3. Five less than a product of 3 and a number is 40.
Write in an equation with those numbers and x
write 6X10X10X10X10 with an exponent.
Answer:
6 × 10 × 10 ×10 × 10 = [tex]6 \times 10^{4}[/tex]
Step-by-step explanation:
The exponent of any number shows that how many times that number can be used in multiplication. It is the power raised to any number which show the number of times that number is raised by.
6 × 10 × 10 ×10 × 10
Here 10 is multiplied 4 times, therefore the exponent of 10 is 4.
∴ 6 × 10 × 10 ×10 × 10 = [tex]6 \times 10^{4}[/tex]
Final answer:
The expression 6X10X10X10X10 written with an exponent is 6x10⁴, indicating that 10 is multiplied by itself four times and then multiplied by 6.
Explanation:
To write 6X10X10X10X10 with an exponent, we identify the repeated multiplication of 10s. Since there are four 10s multiplied together, we use the exponent 4 to represent this, and the expression becomes 6x10⁴. This is because when you have repeated multiplication of the same number, you can express that number raised to the power of how many times it is multiplied by itself.
A chessboard has an area of 324 square inches. There is a 1 - inch border around 64 squares on the board. What is the length of one side of the region containing a small squares?
The length of one side of the region containing the small squares is 64 inches.
Let x be the length of one side of the region containing the small squares.
The area of the small squares is 64 * 1 = 64 square inches.
The area of the border is (x + 2)^2 - x^2 = 4x + 4 square inches.
Since the area of the small squares and the border is equal to the area of the chessboard, we have:
64 + 4x + 4 = 324
68 + 4x = 324
4x = 256
x = 64
Therefore, the length of one side of the region containing the small squares is 64 inches.
What does this maths sign mean?
Answer:
Step-by-step explanation:
in discrete math, a single vertical line usually means "such that" as it relates to data sets. In this case it looks like a typo.
Nine increased by the product of a number and 2 is less than or equal to 27.
Use the variable w for the unknown number.
Answer:
x≤9
Step-by-step explanation:
9+2x≤27
1) Subtract both sides by 9:
2x≤18
2) Divide both sides by 2:
x≤9
Final answer:
Translate the verbal statement into an inequality, 9 + 2w ≤ 27, then solve for w by subtracting 9 and dividing by 2 to find w ≤ 9.
Explanation:
The statement 'Nine increased by the product of a number and 2 is less than or equal to 27' can be translated into the following inequality: 9 + 2w ≤ 27, where w represents the unknown number. To solve for w, we will follow these steps:
Subtract 9 from both sides: 2w ≤ 18.
Divide both sides by 2: w ≤ 9.
Therefore, the solution to the inequality is w being any number less than or equal to 9.
(+30)÷(-10)+(-20)÷(-1)
5 what is x? Please show work
give. b(x) = |x + 4| what is b(-10)
Answer:
6
Step-by-step explanation:
b(x) = |x + 4|
b(-10) = |-10 + 4|
-10 + 4 = -6
|-6| = 6
b(-10) = 6
Hey!
----------------------------
Solution:
b(x) = |x + 4|
b(-10) = |-10 + 4|
b(-10) = |-6|
b(-10) = |6|
----------------------------
When you see two lines next to a number, it mean the absolute value of that number. So if you have |-5| the absolute value is |5|.
----------------------------
Answer:
6
----------------------------
Hope This Helped! Good Luck!
If y is a positive integer, for how many different values of y is sqrt ^ 3 144 / y a whole number?
Answer: second option.
Step-by-step explanation:
We need the remember that:
[tex]\sqrt[n]{a^n}=a[/tex]
Therefore, the radicand (In this case [tex]\frac{144}{x}[/tex]) must be a perfect cube in order to get a whole number.
Remember that a perfect cube are the numbers that have exact cube roots. Therefore, "y" must be a factor of 144.
Now, we need to descompose 144 into its prime factors:
[tex]144=2*2*2*2*3*3=2^4*3^2[/tex]
Then, the factors of 144 are: [tex]1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144[/tex]
Substitute values into [tex]\frac{144}{x}[/tex] to check:
[tex]\frac{144}{1}=144[/tex]
[tex]\frac{144}{2}=72[/tex]
[tex]\frac{144}{3}=48[/tex]
[tex]\frac{144}{4}=36[/tex]
[tex]\frac{144}{6}=24[/tex]
[tex]\frac{144}{8}=18[/tex]
[tex]\frac{144}{9}=16[/tex]
[tex]\frac{144}{12}=12[/tex]
[tex]\frac{144}{16}=9[/tex]
[tex]\frac{144}{18}=8[/tex] (Perfect cube: [tex]8=2^3[/tex])
[tex]\frac{144}{24}=6[/tex]
[tex]\frac{144}{36}=4[/tex]
[tex]\frac{144}{48}=3[/tex]
[tex]\frac{144}{72}=2[/tex]
[tex]\frac{144}{144}=1[/tex] (Perfect cube: [tex]1=1^3[/tex])
Therefore, for 2 different values of "y" ([tex]y=18[/tex] and [tex]y=144[/tex]) [tex]\sqrt[3]{\frac{144}{y} }[/tex] is a whole number.
Answer:
B) 2
Step-by-step explanation:
Edge 2020
to solve the equation 3x-7=x-2, Alex says the first step is to subtract x from both sides. Danny says the first step is to add 7 to both sides.
a.Solve the equation using Alex's method of first subtracting x from both sides.
b.Solve the equation using Danny's method of first adding 7 to both sides.
c.Who is correct, Alex or Danny? Justify your answer.
d. Is there another correct first step for solving this equation? If so, identify it and use it to solve the equation. If not,explain why not.
Answer:
[tex]x=\frac{5}{2}[/tex]
Step-by-step explanation:
Given : Equation [tex]3x-7=x-2[/tex]
To find : Solve the equation ?
Solution :
a) Solve the equation using Alex's method of first subtracting x from both sides.
Equation [tex]3x-7=x-2[/tex]
Subtract x from both side,
[tex]3x-7-x=x-2-x[/tex]
[tex]2x-7=-2[/tex]
[tex]2x=-2+7[/tex]
[tex]2x=5[/tex]
[tex]x=\frac{5}{2}[/tex]
b) Solve the equation using Danny's method of first adding 7 to both sides.
Equation [tex]3x-7=x-2[/tex]
Adding 7 from both side,
[tex]3x-7+7=x-2+7[/tex]
[tex]3x=x+5[/tex]
[tex]2x=5[/tex]
[tex]x=\frac{5}{2}[/tex]
c) Both are correct in their ways.
d) Is there another correct first step for solving this equation? If so, identify it and use it to solve the equation. If not,explain why not.
Equation [tex]3x-7=x-2[/tex]
We can isolate the terms as like terms place together,
[tex]3x-x=-2+7[/tex]
[tex]2x=5[/tex]
[tex]x=\frac{5}{2}[/tex]
Which expressions are equivalent to 3x + 2(x − 1) − 4?
Answer:
5- x 6
Step-by-step explanation:
What percent of 200 is 0.5?
2.144×10^7÷3.2×10^4
144×10^7÷3.2×10^4 is 4500000000000.
Answer:
6.70×10^2
Step-by-step explanation:
Change the 2.144 to standard form to obtain
2144×(10^-3 ×10^7) and also change the 3.2 to 32 ×10^-1 × 10^4
= 32×10^3
2144 ×10^4/32×10^3. since the base are equal (base 10) take only one and subtract the exponent.(2nd law of indices)
2144/32 × 10^4-3
64.97 × 10^1
6.497×10^1 × 10^1
=6.497×10^2
Which pair of fractions are proportional? A)36/54 and 6/9 B)6/7and 16/21 C) 21/36and 21/42 D) 14/35 and 21/42
Option A
Answer:
[tex]\frac{36}{54} \text { and } \frac{6}{9}[/tex] are proportional.
Solution:
If two fractions are equal, than it is said to be in proportion.
Case 1:
Consider option A
Given fractions are [tex]\frac{36}{54} \text { and } \frac{6}{9}[/tex]
[tex]\frac{36}{54}=\frac{9 \times 2 \times 2}{9 \times 2 \times 3}=\frac{2}{3} \text { and } \frac{6}{9}=\frac{2 \times 3}{3 \times 3}=\frac{2}{3}[/tex]
Hence both the fractions are equal. So they are propotional.
Case 2:
Consider option 2
Given fractions [tex]\frac{6}{7} \text { and } \frac{16}{21}[/tex] cannot be simplified further. Also both the fractions are not equal. So they are not propotional.
Case 3:
Consider option 3
Given fractions are [tex]\frac{21}{36} \text { and } \frac{21}{42}[/tex]
[tex]\frac{21}{36}=\frac{7 \times 3}{6 \times 6}=\frac{7}{12} \text { and } \frac{21}{42}=\frac{7 \times 3}{6 \times 7}=\frac{1}{2}[/tex]
Hence [tex]\frac{7}{12} \text { and } \frac{1}{2}[/tex] are not equal. Hence they are not propotional.
Case 4:
Consider option 4
Given fractions are [tex]\frac{14}{35} \text { and } \frac{21}{42}[/tex]
[tex]\frac{14}{35}=\frac{7 \times 2}{7 \times 5}=\frac{2}{5} \text { and } \frac{21}{42}=\frac{7 \times 3}{7 \times 6}=\frac{1}{2}[/tex]
Hence [tex]\frac{2}{5} \text { and } \frac{1}{2}[/tex] are not equal. Hence they are not propotional.
The answer for the given question is option A
The points (-3, 2) and (9,r) lie on a line with slope 1/2. Find the missing coordinate r.
Answer:
8 = r; (9, 8)
Explanation:
-y₁ + y₂\-x₁ + x₂ = m
-2 + r\3 + 9 = ?\12
-2 + r = 6
+2 + 2
__________
r = 8
The reason why the expression has to equal 6 is because 6⁄12 simplifies to ½, and the numerator has to be a six in order to get the rate of change [slope] of ½, so there you have it.
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Final answer:
To solve for the missing coordinate r on the line with a slope of 1/2, we set up the equation based on the slope formula, which results in r = 8.
Explanation:
To find the missing coordinate r for the point (9,r) that lies on a line with slope 1/2, we can use the formula for the slope of a line between two points, which is (y2 - y1)/(x2 - x1). Here, we have one point (-3, 2) and another point (9, r). We plug these into the formula, setting the slope equal to 1/2, and solve for r:
m = (r - 2)/(9 - (-3)) = (r - 2)/12
Since the slope m is given as 1/2, we can set up the equation:
1/2 = (r - 2)/12
Cross-multiplying gives us:
12 * (1/2) = r - 2
6 = r - 2
Adding 2 to both sides:
r = 8
Therefore, the missing coordinate is r = 8.
2 Points
What is the slope of the line that contains the points (-2,2) and (3,4)?
Answer:
⅖
Step-by-step explanation:
-y₁ + y₂\-x₁ + x₂ = m
-2 + 4\2 + 3 = ⅖
I am joyous to assist you anytime.
Point J is on line segment IK. Given JK = 2x – 1, IK = 3x + 2,
and I J = 3x – 5, determine the numerical length of JK.
Answer:
JK=7
Step-by-step explanation:
From the line segment, since J is on it ,it means the line segment is
represented as I J K
from this illustration, we can say that the longest part of the line segment is from I to K
this means that, IJ +JK =IK
making JK the subject,
JK= IK - IJ
but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5
substituting them in the expression,
2x-1 =3x+2 -(3x-5)
solving for x
2x-1 =3x+2-3x+5
2x-1 =0+7
2x-1 =7
2x=1+7
2x=8
dividing through by 2
2x/2 =8/2
x=4
but the question says we should find the numerical value for JK
but from the line segment,
JK=2x-1
but now we know the value of x to be 2
so substituting it in the formula
JK= 2(4)-1
JK=8-1
JK=7
therefore, the numerical value for JK is 7
The length of JK is found by setting the sum of IJ and JK equal to IK and solving for x. When x=4 is substituted back into the expression for JK, the calculated length of JK is 7 units.
Explanation:To find the numerical length of JK, we can use the fact that IK is the entire line segment, which is the sum of IJ and JK. Therefore, we have the equation IK = IJ + JK. Substituting the given expressions, we get 3x + 2 = (3x - 5) + (2x - 1). Solving for x, we combine like terms and simplify the equation.
First, add the expressions for IJ and JK: (3x - 5) + (2x - 1) = 5x - 6.
Next, set the total length equal to the sum of parts: 3x + 2 = 5x - 6.
Now we solve for x: -2x = -8, leading to x = 4.
Finally, we substitute x back into the expression for JK to find its length: JK = 2(4) - 1 = 8 - 1 = 7.
So, the numerical length of JK is 7 units.
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What is the measure of ∠ A C D ? Upper A is labeled as 33 degree and the angle formed at the vertex Upper B is labeled as 117. The angle formed at the vertex Upper A is labeled as 33 degree and the angle formed at the vertex Upper B is labeled as 117 A. 30 ° B. 63 ° C. 147 ° D. 150
To find the measure of angle ACD, subtract the measures of angles ABC and BCD from 180 degrees.
Explanation:To find the measure of angle ACD, we need to subtract the measures of angles ABC and BCD from 180 degrees since the sum of the angles in a triangle is always 180 degrees.
Given that angle ABC measures 117 degrees and angle BCD measures 33 degrees, we have:
∠ACD = 180 degrees - 117 degrees - 33 degrees
= 147 degrees.
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Quick help guys thanks :)
Answer:
[tex]\large\boxed{t^{-58}u^{-88}v^{-71}w^{-1}}[/tex]
Step-by-step explanation:
[tex]\dfrac{tuv^4w^0}{t^{59}u^{89}v^{75}w}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=t^{1-59}u^{1-89}v^{4-75}w^{0-1}=t^{-58}u^{-88}v^{-71}w^{-1}[/tex]
How are the graphs
of f(x) = x2 and g(x) = -(x + 2)2 - 4
related?
g(x) is f(x) shifted 4 units down and 2 units to the left and flipped over the x-axis.
Without dividing, select the number that is divisible by 3.
A). 1036
B). 1125
C). 1571
D). 2045
Answer:
The answer is B: 1125
Step-by-step explanation:
I divided it for you and it is the only answer that did not have a decimal.