Answer:
12.I know that whole numbers go inside the integers circle, and that natural numbers (counting numbers) go inside the whole numbers circle. The irrational numbers circle is in its own category.]
13. It is true that 5 to the 2nd power is 25. So I guess you should just prove that it is true? The way they phrased the question was awkward.
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How much is square root of 5
Answer:
2.2360679775 or simply put 2.2
Step-by-step explanation:
The square root of 5 will not be a perfect square.
what is an equation of the line with slope 3 that goes through point (2/3,4)?
A.y=3x+2
B.y=3x+4
C.y=3x+6
D.y=3x-6
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3, thus
y = 3x + c ← is the partial equation of the line
To find c substitute ( [tex]\frac{2}{3}[/tex], 4) into the partial equation
4 = 2 + c ⇒ c = 4 - 2 = 2
y = 3x + 2 → A
Answer:
A. y = 3x + 2Step-by-step explanation:
[tex]\left(\dfrac{2}{3};\ 4\right)\to x=\dfrac{2}{3},\ y=4\\\\\text{Put to the each equation:}\\\\A.\ y=3x+2\\\\4=3\left(\dfrac{2}{3}\right)+2\\4=2+2\\4=4\qquad\bold{CORRECT}[/tex]
We do not check other equations because all the lines have the same slope. Therefore, they are parallel lines. If one of the lines passes through a given point, then another cannot pass through that point.
Can you guys help me? :-(
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
Find the LCD because like last time, you cannot add or subtract fractions with different denominators.
LCD = 10
Since the second fractions stayed at the same denominator, you will only have to multiply the first fraction.
[tex]\frac{2 * 2}{5 * 2}[/tex]
[tex]\frac{4}{10}[/tex]
[tex]\frac{4 + 5}{10}[/tex]
[tex]= \frac{9}{10}[/tex]
Answer:
2/5 + 5/10 = 9/10
Step-by-step explanation:
Turn 2/5 into 4/10 to make the two fractions' denominators the same by multiplying 2 × 2 =4 and 5 × 2 = 10. Then add 4/10 + 5/10 to get 9/10.
select the correct answer What is |-2.24|?
Absolute values are always non-negative, so |-2.24| equals 2.24.
The absolute value of a number is its distance from zero on the number line, ignoring its sign. For -2.24, the distance from zero is 2.24 units.
This concept is useful in various mathematical calculations, such as finding the magnitude of a vector in physics or determining the error in measurements. In practical terms, it allows us to express distances, differences, or deviations without regard to direction. For example, if you are comparing temperatures, the absolute difference between -5°C and 8°C is 13°C, regardless of whether you are measuring an increase or decrease in temperature. This property makes absolute values valuable in many areas of mathematics, science, and everyday life.
Complete question: What is |-2.24|?
Chris has $400 in his bank account and he deposits
$5 per week thereafter into his
account. His brother Ben has $582 in his account
and withdraws $8 per week from
his account. Assuming this pattern continues, write
and solve an equation to determine how many
weeks it will take for them to have the same
amounts in their bank accounts.
Answer:
400 + 5x = 582 - 8x
14 weeks
Step-by-step explanation:
Set them both up in an equation ---> x = weeks
400 + 5x = 582 - 8x
Solve
13x = 182
x = 14
To determine how many weeks it will take for Chris and Ben to have the same amount in their bank accounts, we can set up and solve an equation based on their weekly deposits and withdrawals. After setting their equations equal to each other and solving for 'x', we find that it will take 14 weeks.
Explanation:To determine how many weeks it will take for Chris and Ben to have the same amount in their bank accounts, we can set up an equation based on their weekly deposits and withdrawals. Let's represent the number of weeks as 'x'.
Chris's bank account balance can be represented by the equation: 400 + 5x
Ben's bank account balance can be represented by the equation: 582 - 8x
To find the number of weeks it takes for their balances to be equal, we can set their equations equal to each other and solve for 'x':
400 + 5x = 582 - 8x
Combining like terms and isolating 'x', we get:
13x = 182
Dividing both sides by 13, we find that x = 14.
Thus, it will take 14 weeks for Chris and Ben to have the same amount in their bank accounts.
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Is this equation an identity?
z = -10 − z
Answer:
y
Step-by-step explanation:
Solve..........................................
Solve 34x+14y=5 for y
The solution for [tex]\(y\)[/tex] in the equation [tex]\(34x + 14y = 5\)[/tex] is [tex]\(y = -\frac{17x}{7} + \frac{5}{14}\).[/tex]
To solve the equation [tex]\(34x + 14y = 5\)[/tex] for [tex]\(y\)[/tex], we need to isolate [tex]\(y\)[/tex] on one side of the equation. Here's the step-by-step process:
1. **Subtract 34x from both sides:**
[tex]\[ 14y = -34x + 5 \][/tex]
2. **Divide both sides by 14 to solve for y:**
[tex]\[ y = \frac{-34x + 5}{14} \][/tex]
Now, let's simplify the expression by breaking it into two terms:
[tex]\[ y = \frac{-34x}{14} + \frac{5}{14} \][/tex]
Simplify each term:
[tex]\[ y = -\frac{17x}{7} + \frac{5}{14} \][/tex]
So, the solution for [tex]\(y\)[/tex] in terms of [tex]\(x\)[/tex] is:
[tex]\[ y = -\frac{17x}{7} + \frac{5}{14} \][/tex]
This equation represents a line in the xy-plane. The coefficient [tex]\(-\frac{17}{7}\)[/tex] is the slope, indicating the rate of change of [tex]\(y\)[/tex] with respect to [tex]\(x\),[/tex] and [tex]\(\frac{5}{14}\)[/tex]is the y-intercept, representing the point where the line crosses the y-axis.
The length of a rectangular poster is 10 inches longer than the width. If the perimeter of the poster is 124 inches, what is the width?
Question 2 options:
Final answer:
To find the width of a rectangular poster with a perimeter of 124 inches and a length that is 10 inches longer than the width, set up the perimeter equation, solve for the width, and find that the width is 26 inches.
Explanation:
The student asks to find the width of a rectangular poster where the length is 10 inches longer than the width, and the perimeter is 124 inches.
Firstly, let's denote the width of the poster as w inches. Therefore, the length is w + 10 inches. The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
We can set up the equation for the given perimeter:
2(w + 10) + 2w = 124
Simplifying the equation:
2w + 20 + 2w = 124
4w + 20 = 124
4w = 104
w = 26
The width of the poster is 26 inches.
5% of Mr. Larios‘s jokes are funny if he makes 16 funny jokes this year how many total jokes does he make
The answer would be "320 jokes."
[tex]\frac{5}{100}[/tex]
[tex]\frac{5}{100} of320[/tex]
[tex]\frac{5}{100} \times320=16[/tex]
[tex]=16[/tex]
Therefore Mr. Larios made 320 jokes this year and only 16 of them were funny.
Hope this helps
Answer:
he makes 320 jokes a year
Step-by-step explanation:
Need help division equation 54 ÷ 1099
Answer:
54/1099=0.04913557779= 0.05
Step-by-step explanation:
Simply put, all you do is divide the two numbers and round it to whatever it tells you to round it to. 5 and above, give it a shove. 4 and below, let it go.
A bag contains 22 1/2 cups .A recipe for pancakes uses 1 1/4 cups of flour .how many batches of pancakes can be made with one bag of flour
Answer:
18 batches of pancakes
Step-by-step explanation:
22.5/1.25=18
Answer:
17 batches
Step-by-step explanation:
Divide (1 1/4 cup per batch) into 22 1/2 cups:
22 1/5 cups
---------------------- = 22.2/1.25 batches = 17.76 batches
1 1/4 cup
--------------
1 batch
One bag of flour will make 17 batches with about 3/4 batch unfinished.
Is it proportional and what’s the solution?
1/4(8x-20)=6x-1(x-25)
Answer:
x=-10
Step-by-step explanation:
Answer:
x = -10
Step-by-step explanation:
I will assume that you meant:
(1/4)(8x-20)=6x - (x-25) = 5x + 25
If this is correct, let's remove the denominator 4 by multiplying all terms by 4:
(8x - 20) = 4(6x - x + 25), or
8x - 20 = 20x + 100
Consolidating the x terms on the right and the constants on the left, we get:
-120 = 12x, or x = -10
a snail moves at a speed of 2.394 inches per minute. if the snail keeps moving at this rate about how many inches will it travel in 7.489 minutes
Answer:
17.928666
Step-by-step explanation:
2.394*7.489
Subtract the following:
–7 – 7=
7 –
7=
-7-(- 7) =
7- (-7)=
Answer:
A. -7 - 7 = -14
B. 7 - 7 = 0
C. -7 - (-7) = 0
D. 7 - (-7) = 14
Answer:
-7 - 7 = -14 ; Two negatives equal a positive
7 - 7 = 0 ;
-7 - (-7) = 0
7 - (-7) = 14 two negatives equal a positive
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What if the teacher divides the the 5 cups of broth among 6 students? Will each student get more than less than 1 cup of broth?
Answer:
Less
Step-by-step explanation:
5 divided by 6 is less than 1.
Answer: 0.83...
Answer:
Each student get less than 1 cup of broth.
Step-by-step explanation:
We have been given that a teacher divides the 5 cups of broth among 6 students. We are asked to determine the amount that each student will get would be more than or less than 1 cup of broth.
Since there are 5 cups of broth, so we can distribute them to 5 students each having one cup of broth.
As the teacher divides the 5 cups of broth among 6 students, therefore each student will get less than one cup that is [tex]\frac{5}{6}[/tex] of cup.
2. Pi is the ratio of what two measures of a circle?
pi is the ratio of the 2 measures 1.5 of a circle.
Answer plz I need help
Answer:
they are both in the thousands place
Step-by-step explanation:
Carlo attends art class every 4 weeks, chess club every 2 weeks, and fencing lessons every 3 weeks. If he attended all three this week, when will he attend all three again?
Carlo will attend art class in 4 weeks,
fencing lessons in 3 weeks,
and chess club in 2 weeks.
Please help: linear algebra problem. (Linear combinations)
Answer:
[tex]\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex]
This tells us that:
[tex]A=\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right][/tex]
[tex]b=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex]
Step-by-step explanation:
So we are saying we have scalars, c and d, such that:
[tex]c\left[\begin{array}{ccc}5\\5\\ 3\end{array}\right]+d\left[\begin{array}{ccc}7\\-8\\-9\end{array}\right]=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex].
So we want to find a way to express this as:
Ax=b where x is the scalar vector, [tex]\left[\begin{array}{ccc}c\\d\end{array}\right][/tex].
So we can write this as:
[tex]\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex]
Ms. How bought a bag of rice for dinner. She used 3/5 kg of the rice and still had 2 1/4 kg left. How heavy was the bag of rice that Ms. How bought?
Answer:
Step-by-step explanation:
First let's look at this with just the whole numbers. Say someone used 2 kg and had 3 left. it should be pretty simple to see that you started with 5 kg. It's basically an algebra problem. if we say x is the starting amount then x-2 = 3. You could then solve for x=5. Now, let's dot he same for your actual numbers.
x - 3/5 = 2 1/4
x = 2 1/4 + 3/5
Now, to add fractions you need to get the same denominators. we are just really concerned with 1/4 + 3/5. Now, you need to knwo you can change fractions. so 1/4 = 2/8 = 3/12 = 4/16 and so on, You are basically multiplying the numerator and denominator by the same number. (1*2)/(4*2) = 2/8. Now, to make both denominators equal you can multiply one fraction by the other denominator.
1/4 + 3/5
(1*5)/(4*5) + (3*4)/(5*4)
5/20 + 12/20 = 17/20.
So now, back tot he main problem, we are adding 2 1/4 + 3/5 = 2 17/20. so the starting amount was 2 17/20 kg.
There is another way to add fractions but it is more involved and this always works so this is what I always use.
Ms. How bought a bag of rice that weighs 57/20 or 2 7/20 kg.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Ms. How bought a bag of rice for dinner.
Assuming she bought x kg of rice.
She used 3/5 kg of the rice and still had 2 1/4 kg left.
∴ x - 3/5 = 9/4.
x = 3/5 + 9/4.
x = (12 + 45)/20 kg.
x = 57/20 kg.
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What is the value of k in the product of powers below?
10^-3 x 10 x 10^k = 10^-3 = 1/10^3
A. -3
B. -1
C. 0
D. 1
Answer:
B. -1.
Step-by-step explanation:
Note: 10 = 10^1 so:
10^-3 x 10 x 10^k = 10^(-3 + 1 + k) = 10^(k - 2).
So 10^(k - 2) = 10 ^(-3)
and k - 2 = -3
k = 2 - 3 = -1.
Answer: -1
Step-by-step explanation:
a scale drawing of new york state 2.5 centimeters represents 10 kilometers how many kilometers are represented by 10 centimeters?
Answer:
40 Km
Step-by-step explanation:
Cross-multiply (rule of three)
2.5 cm--------10 Km
10 cm-----------x Km
2.5/10 = 10/x
so
x = 100/2.5 = 40 Km
which is most likely the correlation coefficient for the set of data shown? A.-0.65 B.-0.19 C.0.19 D.0.75
The most likely correlation coefficient for the set of data shown would be C. 0.19.
What is the correlation coefficient and how to interpret it?The correlation coefficient is a measure of how similar two datasets are acting.
The range of correlation coefficient is [-1, 1]
When the correlation coefficient comes out as -1, it means that both the datasets are negatively oppositely correlated.
One data increases, other data starts decrease in the opposite direction.
If the correlation coefficient comes out as 1, then the values grow exactly similarly, in the same direction.
If the slope of the scatters plot increases from left to your right upwards, the correlation coefficient of the data would be positive.
The scatter plot that is given shows this pattern, therefore, the most likely correlation coefficient of the data set is: C. 0.19.
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Given the function h(x)=4(x−2)2 , what is the value of h(5) ? h(5) =
Answer:
h ( 5 ) = 36
Step-by-step explanation:
Given function :- h ( x ) = 4 ( x - 2 )²
Also, for h ( 5 ) ... we need to replace x with 5 from the given equation :-
h ( 5 ) = 4 ( 5 - 2 )²
h ( 5 ) = 4 ( 3 )²
h ( 5 ) = 4 ( 9 )
h ( 5 ) = 36
So, h ( 5 ) = 36
What is the distance between -7 and 3?
4
-4
9
10
Step-by-step explanation:
In order to solve this I would write out a number line like this
-10 -9 -8 -7 -6 -5 -4-3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Then I would start at -7, and count up to 3
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Ana found a cookie recipe that requires 1/2 cup of amount of coconut oil to be used instead of butter. The recipe makes a total of 100 cookies. The problem us tha Ana onky wants to make 25 cookies. EXPLAIN to Ana how much coconut oil she will need to use in an adjusted recipe to make 25 cookies instead of 100 cookies.
WORTH 20 POINTS!!
PLEASE SHOW YOUR WORK
Answer:
Ana will have to multiply the amount of each item on the recipe by .25
For the 1/2 cup amount of coconut oil to be used instead of butter will be .125 or 1 and 5/8 amount of coconut oil to be used instead of butter.
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Solve -7m^2 + 2m + 7 if m = -3
Answer:
Step-by-step explanation:
if m = -3
-7(-3)²+2(-3)+7 = -63-6+7 = -62
Hey!
---------------------------
Solution:
= -7(-3)² + 2(-3) + 7
= -63 + -6 + 7
= -69 + 7
= -62
---------------------------
Answer:
-62
---------------------------
Hope This Helped! Good Luck!
Parallel to y=2x-4 through (8,8)
Answer:
y = 2x - 8
Step-by-step explanation:
Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so 2 remains the same:
8 = 2[8] + b
↑
16
-8 = b
y = 2x - 8 >> Parallel Equation
I am joyous to assist you anytime.