Algebraic equation is a mathematical way of expressing the way in which two expression are set equal to each other with given conditions. Using the algebraic equation we get that the age of the ms. Ford was exactly twice as old as ms. Lincoln. before 22 years ago.
Given-
The age of the Ms. Ford is 48.
The age of the Ms. Lincoln is 35.
What is Algebraic equation ?Algebraic equation is a mathematical way of expressing the way in which two expression are set equal to each other with given conditions.
Let x years ago the age of the ms. Ford was exactly twice as old as ms. Lincoln.
Thus x years ago the age of the ms. Ford was [tex](45-x)[/tex]
x years ago the age of the ms. Lincoln was [tex](35-x)[/tex].
Make a equation using the given information. As the x years ago the age of the ms. Ford was exactly twice as old as ms. Lincoln. Therefore,
[tex](48-x)=2(35-x)[/tex]
[tex]48-x=70-2x[/tex]
[tex]2x-x=70-48[/tex]
[tex]x=22[/tex]
Hence, the age of the ms. Ford was exactly twice as old as ms. Lincoln. before 22 years ago.
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IS MY ANSWER CORRECT? If you would like to make $1213 in 8 years, how much would you have to deposit in an account that pays simple interest of 5%?
I=1213(.05)(8) I=388.16 Interest Earned is $388.16 1213+388.16=1601.16
The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. Which sentence most closely summarizes the data?
About 160 people weigh more than 165 pounds.
About 320 people weigh more than 165 pounds.
About 320 people weigh less than 165 pounds.
About 640 people weigh less than 165 pounds.
The correct summary of the data is that about 160 people weigh more than 165 pounds, based on the empirical rule for a normal distribution.
Explanation:To summarize the data of the measured weights of 1,000 men in a certain village, which follows a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds, we can use the empirical rule (68-95-99.7). According to this rule, approximately 68% of data values fall within one standard deviation of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.
In this context, since 165 pounds is one standard deviation above the mean (150 + 15 = 165), it means approximately 16% of men (100% - 84%) will weigh more than 165 pounds, which translates to about 160 people (0.16 * 1000).
Therefore, the correct summarization is: About 160 people weigh more than 165 pounds.
Solve by elimination
-3x+2y=10
-2x-y=-5
Simplify (7 +i) – (6 – 2i)
–2
1 – i
1 + 3i
4 ...?
There are "n" delicious sweets in the bag. You know that 6 of them are orange and the rest are yellow. Hannah takes a random sweet from the bag and eats it. Then she takes a second sweet from the bag and eats that one. You know that the probability that Hannah eats two of the orange sweets is 1/3. How many sweets were in the bag before Hannah ate any
4 tens 19 tens 22 ones
According to rule of mathematics, these given numbers will be presented according to their respective decimal places:
Step-by-step explanation:
4 tens can be represented as 40.
19 tens can be represented as 190.
22 ones are simply 22.
A laboratory technician needs to make a 40-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration?
To make a 40-liter batch of a 40% acid solution, the laboratory technician can combine a batch of pure acid with another batch that is 20% acid.
Explanation:To make a 40-liter batch of a 40% acid solution, the laboratory technician can combine a batch of pure acid with another batch that is 20% acid. Here is a step-by-step process:
Let's assume the volume of the pure acid solution is x liters.The volume of the 20% acid solution needed can be calculated using the equation: (40 - x) = 0.2(x), where 40 - x is the volume of the 20% acid solution required and 0.2(x) is the volume of acid in that solution.Solving the equation, we get 40 - x = 0.2x, which simplifies to 1.2x = 40. This equation can be solved to find x, which represents the volume of the pure acid solution.Once x is found, the volume of the 20% acid solution can be calculated by subtracting x from 40.The laboratory technician can mix x liters of pure acid with (40 - x) liters of the 20% acid solution to obtain the desired concentration of 40% acid in a 40-liter batch.Therefore, the laboratory technician can combine a batch of pure acid with another batch of 20% acid to obtain a 40-liter batch of a 40% acid solution.
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Which of the following statements are true about WaterSense toilets?
a.
WaterSense toilets prevent toilet leaks
b.
WaterSense toilets saved customers 9.3 billion gallons of water in 2008
c.
WaterSense toilets come with attached float booster
d.
WaterSense toilets use about 5-7 gallons of water per flush
Answer:
I just took the test, the answer is
B: WaterSense toilets saved customers 9.3 billion gallons of water in 2008
The only option that is true about water sense toilets is that; B: WaterSense toilets saved customers 9.3 billion gallons of water in 2008
What are water sense toilets?The WaterSense label is a label that is mostly used on toilets that are certified by an independent body to satisfy well established high performance and efficiency standards.
Now, only water-saving toilets that complete the certification process can have the WaterSense label. From research it was discovered that WaterSense toilets saved customers 9.3 billion gallons of water in 2008 and so option B is correct.
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The area of a rectangle is 96 square feet. The ratio of the width to the length is 2:3. The width of the rectangle is how many feet?
The width of the rectangle, with an area of 96 square feet and a width-to-length ratio of 2:3, is 8 feet.
The student asked to find the width of a rectangle given that the area of the rectangle is 96 square feet and the ratio of the width to the length is 2:3.
To solve this, first let's assign variables to the dimensions of the rectangle. Let the width be 2x feet and the length be 3x feet, where x is a common multiple. Since the area of a rectangle is the product of its width and length, we can set up an equation:
(2x) × (3x) = 96
Solving for x gives:
6x^2 = 96
x^2 = 16
x = 4 feet
Now that we have the value of x, we can find the width by multiplying x by 2:
Width = 2x = 2(4 feet) = 8 feet
Therefore, the width of the rectangle is 8 feet.
What is the unite rate for 42 laps in 6 races?
fill in the blank
1. x-7>10
x>____
If you only have a 3-quart pitcher and a 5-quart pitcher, how can you measure exactly 1 quart?
how can you prove a triangle is a right triangle
To prove a triangle is a right triangle, use the Pythagorean theorem: a² + b² = c².
To prove that a triangle is a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This is expressed as: a² + b² = c², where c is the hypotenuse, and a and b are the other two sides.
Here are the steps to prove that a triangle is a right triangle:
Measure all three sides of the triangle.Identify the longest side, which will be the hypotenuse in a right triangle. Label it as c.Label the other two sides as a and b.Calculate a², b², and c².Check if the equation a² + b² = c² holds true.If the equation is correct, the triangle is a right triangle.
Additionally, you can verify it using a compass and ruler to draw precise triangles and measure the angles, although measurement errors are common. Understanding the Pythagorean theorem is crucial for these calculations.
What's does tumultuously mean??
Answer:yeah what they said
Step-by-step explanation:
The U in the upper right corner stands for the
bigger set
universal set
infinite set
complement
Answer:
Universal set
Step-by-step explanation:
We need to find U in the upper right corner stands for what
Option 1 : bigger set
We cannot say this a bigger set without comparing it with another sets and since it is also containing another sets So, it is not said to be a bigger set.
Option 1 is wrong .
Option 2 : Universal Set
Definition of Universal Set : The set which contains all elements or all objects and of which all other sets are subsets.
Since we can see that SET M and SET N are contained in SET U
Thus U is a universal set.
Option 2 is correct .
Option 3: infinite set
we can see in the figure that it is finite set .
So, it is not infinite set.
Option 3 is wrong .
Option 4: complement
it is not a complement set (refer given figure )
Option 4 is wrong .
Richie wants to paint his bedroom ceiling in for walls. The ceiling in each of the walls are 8' x 8'. A gallon of paint covers 40 ft.². Write an expression that can be used to find the number of gallons of paint Richie needs to buy period
What is the sum of 1/4 and 1/5?
How many ways can you make 17 as the product of two numbers in multiplication?
Hey anyone cane u answer these two questions and explain and show your work how u got the answer please. Step by step. Thank you!
What should you do to both sides of the inequality in order to solve x + (-2) > 3?
Answer:
subratct 2 from both sides
Step-by-step explanation:
i took this class
What is the value of x in the equation 4(2x + 14) = 0?
9
7
−7
−9
Value of [tex]x[/tex] in the given equation [tex]4(2x+14)=0[/tex] is equal to [tex]-7[/tex].
What is equation?" Equation is defined as the algebraic expression which represents the relation between the variables and number using sign of equality."
According to the question,
Given equation,
[tex]4(2x+14)=0[/tex]
Simplify the given equation to get the value of [tex]x[/tex],
[tex]4 \neq 0[/tex]
Therefore,
[tex]2x+14 = 0\\\\\implies 2x = -14\\\\\implies x = -7[/tex]
Hence, value of [tex]x[/tex] in the given equation [tex]4(2x+14)=0[/tex] is equal to [tex]-7[/tex].
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What is 0.00004 in its standard form ??
The number 0.00004 is expressed in standard form or scientific notation as [tex]4.0 \times 10^{-5}[/tex], moving the decimal 5 places to the right because the number is smaller than 1.
To express the number 0.00004 in standard form or scientific notation, we need to rewrite it so that it has one non-zero digit to the left of the decimal point. Move the decimal place to the right until you have that single non-zero digit. Count the number of places you've moved it; this number will determine the exponent of 10 in the standard form.
In this case, we move the decimal point:
Since we moved the decimal 5 places to the right, the power of 10 will be negative because the original number is less than 1.
Therefore, the standard form or scientific notation of 0.00004 is: 4 × 10⁻⁵.
Consider the function represented by the equation 1/2j+1/4k=3. Which shows the equation written in function notation with j as the independent variable?
F(j)=-2j+12
F(j)=-1/2j+6
F(k)=-2k+12
F(k)=-1/2k+6
How many pounds are in 427.06 g?
1 gram = 2.20 × 10^-3 lb
A.
939 lb
B.
0.939 lb
C.
194.12 lb
D.
194,118 lb
The result is 0.939 lb, so the correct answer is option B.
1 gram = 2.20 × [tex]10^{-3}[/tex] lb
We can set up a multiplication to convert grams to pounds:
427.06 g × 2.20 × [tex]10^{-3}[/tex]lb/g
Carrying out the multiplication:
427.06 × 2.20 × [tex]10^{-3}[/tex]
= 0.939 lb
Thus, the amount in pounds is 0.939 lb.
The correct answer is:
B. 0.939 lb
Taking the speed of the radio signal as 3×108 m/s, calculate the time taken for a signal to reach a GPS receiver from a GPS satellite at a position 21 000 km distant from the receiver. Assume that the speed of the signal is unchanged over the whole path length. Express your answer in milliseconds
If the perimeter of a square is 16”, what is the length of each side of the square?
3x^2 + 5x =8
Solve with the quadratic formula. I messed up somewhere in my solving... Steps would be great~!
A bakery uses 3/10 of a cup of flour in one batch of biscuits. the bakery used 3/5 of a cup of flour yesterday. how many batches of biscuits did the bakery make?
Answer:
Step-by-step explanation:
Which expression is equivalent to 4t + 3t?
Final answer:
The expression that is equivalent to 4t + 3t is 7t, as you combine the like terms by adding their coefficients.
Explanation:
The student has asked which expression is equivalent to 4t + 3t. This is a problem in basic algebra and involves combining like terms. To find the equivalent expression, we simply add the coefficients (numbers in front of the variable 't') together. Since both terms have the same variable 't', we combine 4 and 3 to get 7. Therefore, the equivalent expression to 4t + 3t is 7t.
which two square roots are used to estimate the square root of 42
25, 36
36,49
46,64
or 25,64