Pablo goes to the grocery store every 2 days, and Wanda goes to the grocery store every 3 days. If they both went to the grocery store today, how many days will it be before they both go to the grocery store on the same day?
Answer:
6 more days till they both go to the store at the same day
Which of the following is an equivalent expression to the expression
Answer:
a. \(a^{\frac{1}{12} }\)
Step-by-step explanation:
\(\frac{a^{\frac{1}{3} } }{a^{\frac{1}{4} } }\) = \(a^{\frac{1}{3}-\frac{1}{4} }\) = \(a^{\frac{1}{12} }\)
Find the value of each expression 1.4^2, 300 divided by 2 (0.5+4.5)^2 , and 1/3 divided by 2 (1/2)^3
Answer:
Step-by-step explanation:
Recall that in the problem x÷y=z
x
÷
y
=
z
, also written
yzx
y z
x
x
x
is called the dividend , y
y
is the divisor , and z
z
is the quotient .
Step 1: Estimate the answer by rounding . You'll use this estimate to check your answer later.
Step 2: If the divisor is not a whole number, then move the decimal place n
n
places to the right to make it a whole number. Then move the decimal place in the dividend the same number of places to the right (adding some extra zeros if necessary.)
Step 3: Divide as usual. If the divisor doesn't go in evenly, add zeros to the right of the dividend and keep dividing until you get a 0
0
remainder, or until a repeating pattern shows up.
Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
Step 5: Check your answer against your estimate to see if it's reasonable.
Example:
Divide.
0.45÷3.6
0.45
÷
3.6
Step 1: Since the divisor is greater than the dividend, we will get an answer less than 1
1
. Since 0.45
0.45
is about one tenth as big as 3.6
3.6
, we expect an answer close to 0.1
0.1
.
Step 2: The divisor is not a whole number, so move the decimal point one place to the right to make it a whole number. Move the decimal point in the dividend one place to the right also.
364.5
36
4.5
Step 3: Divide normally, adding extra zeros to the right of 4.5
4.5
when you run out.
361254.50036⎯⎯⎯⎯⎯9072⎯⎯⎯⎯180180⎯⎯⎯⎯⎯⎯0
36
125
4.500
3
6
_
90
72
_
180
180
_
0
Step 4: Put the decimal point in the quotient directly above the decimal point in the dividend.
360.1254.50036⎯⎯⎯⎯⎯9072⎯⎯⎯⎯180180⎯⎯⎯⎯⎯⎯0
36
0.125
4.500
3
6
_
90
72
_
180
180
_
0
We get 0.125
0.125
.
Step 5: Compare with your initial estimate. 0.125
0.125
is close to 0.1
0.1
, so we're good!
Sometimes, it's easier to use mental math to solve a decimal division problem. This is a good strategy when you can see that if you move the decimal points around, you can change the problem into one you've memorized the answer to.
Example:
Divide.
0.42÷70
0.42
÷
70
We know that 42÷7=6
42
÷
7
=
6
.
If the dividend is decreased by a factor of 10
10
, then the quotient will also decrease by a factor of 10
10
.
42÷7=64.2÷7=0.60.42÷7=0.06 42÷7=6 4.2÷7=0.6 0.42÷7=0.06
And if the divisor is increased by a factor of 10
10
, then the quotient will decrease by a factor of 10
10
.
0.42÷70=0.006
0.42
÷
70
=
0.006
So, the answer is 0.006
0.006
.
The sum of three numbers is 15. The sum of the first number and three times the second number is 15. The sum of the second number and
the third number is 8. What are the three numbers?
Answer:
Im not sure if this is correct
x=7
y=8/3
z=16/3
Step-by-step explanation:
The three equations are
x+y+z=15
x+3y=15
y+z=8
you can use substitution for the first and third equation so it would be
x+8=15
x=7
then use sub for the second equation
7+3y=15
3y=8
y=8/3
and you can finish by using sub for the third equation
8/3+z=8
3z=16
z=16/3
I hope this is correct
9. Apply The number of people in the United States who are at least 100
years old grew about 66% from 1980 to 2010. Write that information as a
conditional statement.
Answer: If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
Step-by-step explanation:
A really simple conditional statement can be written as:
If P, then Q
Where P is the hypothesis, and Q is the conclusion.
In this case, we know that:
"The number of people with age equal or larger than 100 years old, grew about 66% from 1980 to 2010"
This means that if in 1980 we had N people in that age range, in 2010 we have N*(166%/100%) = N*1.66
Then we can write a conditional statement:
If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
Circle A has center of (4,6) and a radius of 5, and circle B has a center of (1,0) and a radius of 15. What steps will help show that circle A is similar to circle B? Dilate circle Dilate circle A by a scale factor of 3. translate Circle A using the rule (x - 3, y + 6). Rotate circle A 180° about the center. reflect circle A over the y-axis.
The answer is A. Dilate circle A by a scale factor of 3
I took the test :)
PLEASE HELP
Libby flips a quarter 2 times in a row.
What is the probability of the quarter landing on heads at least 1 time?
A. 1/4
B. 1/3
C. 3/4
D. 1/2
What is the measure of Arc BA? An explanation would be much appreciated.
Answer:
m<BA = 180degrees
Step-by-step explanation:
First you must know that measure of <BA is 180 degrees and m<CD = m<BA
Since <CD = 16z - 12, hence;
180 = 16z - 12
16z = 180++12
16z = 192
z = 192/16
z = 12
Get <BA
m<BA = 16z - 12
m<BA = 16(12) - 12
m<BA = 192 - 12
m<BA = 180degrees
3/8(3/4+5/6 )−1/2 what is the answer please help
Answer: 0.09375
Step-by-step explanation:
YEETUS
Simplify.
14.8 + 6.25 + 0.97
Answer:
22.02
Step-by-step explanation:
1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p
show that both are commutative
Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
How to explain the commutative property.It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property
From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.
In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.
Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
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algebra and trigonometry difference
Answer:
Algebra deals with knowing the value of unknown variables and functional relationships, while trigonometry touches on triangles, sides and angles and the relationship between them.
Algebra is more on polynomial equations, x and y while trigonometry more on sine, cosine, tangent, and degrees.
Trigonometry is much more complicated than algebra but algebra has its uses in our daily lives, be it calculating distance from point to another or determining the volume of milk in a milk container.
Step-by-step explanation:
Answer:
Although both Algebra II and Trigonometry involve solving mathematical problems, Algebra II focuses on solving equations and inequalities while Trigonometry is the study of triangles and how sides are connected to angles.
hope this answer helps u
pls mark as brainliest .-.
Solve for x.
x 5
- = -
3 8
The value of x = \(1\frac{7}{8}\)
Given: \(\frac{x}{3}\) = \(\frac{5}{8}\)
Solution: To solve for the value of x we have to take all the variables,i.e, x to one side and the rest on the other side,
\(\frac{x}{3}\) = \(\frac{5}{8}\)
Taking 3 to the other side, it changes from division to multiplication,
x = \(\frac{5}{8}\) * 3
x= \(\frac{15}{8}\)
As it is an improper fraction we need to convert it into a proper or a mixed fraction form,
x = \(1\frac{7}{8}\)
The first option amongst all the options is the correct one.
Thus, the value of x = \(1\frac{7}{8}\).
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Please help with this one ASAP.
Answer:
B
Step-by-step explanation:
The answer is B
Thank you
Hope i helped
Solve for x: 3x+2=11
Answer:
X= 3
Step-by-step explanation:
To solve this, you must first subtract 2 from 11, to get the 3x isolated.
You'll then have 3x=9, but the x is not alone, so you subtract the 3 from both sides. This leaves you with 3
the value of x will be 3 for the given function 3x+2=11.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given a function 3x+2=11
Simplifying the function:
=> 3x + 2 = 11
subtract by 2
=> 3x +2 - 2 = 11-2
=> 3x = 9
divide by 3 into both sides
=> x = 3
Therefore, the value of x will be 3 for the given function.
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A salt shaker company produces salt shakers of various heights they create a table showing how many salt Greynolds each size salt shaker holt does the star represent a proportional relationship click on the correct response then answer the question below
Part C
Find the average and margin of error for each of the following: the entire sample, 1950s records, 1960s records, 1970s records, Company A records, Company B records, and Company C records.
Part D
An oil embargo in the 1970s made vinyl more expensive, which some collectors say caused a decrease in average vinyl weight from 1970 onward. Do the data support this claim? Why or why not? Be sure to discuss averages, margins of error, and anything else that is relevant in your answer.
The average is 40 and the margin of error is 10.95.
What is margin of error?
The margin of error is a statistic expressing the amount of random sampling in the result of a survey.
Average (A) = sum of all the value/ given set.
A = (51+ 41 + 28)/3 = 40
margin of error = 100/square root of 120 = 10.95.
Therefore, the average is 40 and the margin of error is 10.95.
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Deanna's times, seconds, for running the 100 meter dash this week were: 10.80 0,10.99,11.02,10.80,11. and 10.96 . 10.78 1.10, 10.88, 10.72, 10.15 Which measure of center would most accurately describe Deanna's typical time, and what is the value of that measure of center? Move a word and a value to complete the sentence . The best center of measure for this data is the which is equal toseconds mean median 10.88 10.9010,8 11.1
Answer:
If you help me ill help you
Step-by-step explanation:
Carmen's father is 28 years older than her, 3 years ago we was 5 times her age, what are their ages?
The best centre of measure for this data is the mean which is equal to 10.90 seconds.
Mean, median and mode are use to measure for central tendency. Therefore, let's arrange the values in ascending order.
10.72, 10.75, 10.78, 10.80, 10.80, 10.88, 10.96, 10.99, 11.02, 11.10, 11.10,
According to the data, the values are very close to catch. Therefore, the mean will be used. Therefore,
mean = sum of data / number of data
mean = 10.72 + 10.75 + 10.78 + 10.80 + 10.80 + 10.88 + 10.96 + 10.99, 11.02 + 11.10 + 11.10 / 11
mean = 119.9 / 11
mean = 10.90
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What is the value of the product (3 – 2i)(3 + 2i)?
Answer:
13
Step-by-step explanation:
(3 - 2i)(3 + 2i)
Expand
(9 + 6i - 6i - 4i^2)
Add
(9 - 4i^2)
Convert i^2
i^2 = (\(\sqrt{-1}\))^2 = -1
(9 - 4(-1))
Add
(9 + 4)
= 13
Answer:
13.
Step-by-step explanation:
(3 - 2i)(3 + 2i)
= (3 * 3) + (-2i * 3) + (2i * 3) + (-2i * 2i)
= 9 - 6i + 6i - 4\(\sqrt{-1} ^{2}\)
= 9 - 4(-1)
= 9 + 4
= 13
Hope this helps!
The Venn diagram below shows the events A and B, and the probabilities p, q and r.
It is known that P(A)=0.43 , P(B)=0.62 and P(A∩B)=0.27 .
Calculate the value of p
Calculate the value of q
Calculate the value of r
Find the value of P (A given NOT B)
The value of q is 0.35.
The value of p is 0.16.
The value of r is 0.27.
The value of P(A given NOT B) is approximately 0.4211.
To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.
Given:
P(A) = 0.43
P(B) = 0.62
P(A∩B) = 0.27
Calculating the value of p:
The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.
We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:
p = P(A) - P(A∩B)
= 0.43 - 0.27
= 0.16
Therefore, the value of p is 0.16.
Calculating the value of q:
The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.
We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:
q = P(B) - P(A∩B)
= 0.62 - 0.27
= 0.35
Therefore, the value of q is 0.35.
Calculating the value of r:
The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.
We are given that P(A∩B) = 0.27, so the value of r is 0.27.
Therefore, the value of r is 0.27.
Finding the value of P(A given NOT B):
P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.
To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.
P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)
We can calculate the value of P(A given NOT B) using the provided probabilities:
P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))
= 0.43 - 0.27 / (1 - 0.62)
= 0.16 / 0.38
≈ 0.4211
Therefore, the value of P(A given NOT B) is approximately 0.4211.
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SOMEONE PLEASE HELP IM FAILING THIS CLASS
Given the similar triangles, find the value of x.
AABC~AAGF
Answer:
x = 4
Step-by-step explanation:
Given that ∆ABC ~ ∆AGF, it follows that their lengths would be proportional to each other. This implies that:
AB/AG = AC/A F
Substitute
55/22 = 30/(4x - 4)
5/2 = 30/(4x - 4)
Cross multiply
5(4x - 4) = 30(2)
20x - 20 = 60
20x - 20 + 20 = 60 + 20
20x = 80
Divide both sides by 20
20x/20 = 80/20
x = 4
40 is 120% of what number
Answer:
If you are using a calculator, simply enter 120×100÷40, which will give you the answer.
Step-by-step explanation:
(-37)+(-2) please tell quickly
Answer:-39
Step-by-step explanation:
The first thing is to open the bracket.
By doing that, the question becomes -37-2.
note that plus×minus=minus.
Hence,-39 as the final answer
1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
What is the measure, in degrees, of the highlighted angle?
Answer:
\(36^\circ\)
Step-by-step explanation:
If you add the measures of the two marked angles, you get \(180^\circ\). The two angles form what some call a linear pair.
Set up and solve an equation.
4x + x = 180
5x = 180
x = 180 / 5
x = 36 degrees
what is the value of 4/5(8+7)-2/3(8+7)
Answer:
The answer is 2.
Hope this helps and if you could mark this as brainliest. Thanks!
What is the equation of this graphed line? Enter your answer in slope-intercept form in the box.
Answer:
y= -1/3x + -5
Step-by-step explanation:
y= mx + b
b= y-intercept, which is -5. (x-value where the lines goes through the y-axis)
To find the slope, you take the
Change of y/ Change of x
Take two points (I did, (0,-5) and (3, -6) ). (x,y)
-6 - (-5)= -1
3 - 0= 3
-1/3= m
If one circle has a diameter of 20 cm and a second circle has a diameter of 40 cm, what is the ratio of the area of the larger circle to the area of the smaller circle?
Answer:
The ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1
Step-by-step explanation:
The diameter of a larger circle = d = 40 cm
r = d/2 = 40/2 = 20 cm
The area of the larger circle = πr²
= 3.14 (20)²
= 3.14 × 400
= 1256 cm²
The diameter of a smaller circle = 20 cm
r = d/2 = 20/2 = 10 cm
The area of the smaller circle = πr²
= 3.14 (10)²
= 3.14 × 100
= 314 cm²
Thus,
The area of the larger circle = 1256 cm²
The area of the smaller circle = 314 cm²
Therefore,
The ratio of the area of the larger circle to the area of the smaller circle will be computed as:
1256:314 or 1256/314reducing the ration into a simpler form
1256/314 = 4/1Thus, the ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1
Components inside a computer such as CPU and motherboard are all examples of _____. software hardware
Answer:
it's hardware.
.
hope I helped!
ANSWER PLS ABOUT FRACTIONS
Answer:
Step-by-step explanation:
\(\frac{3}{5} +\frac{1}{4} +\frac{3}{8} =\) Distance Janie walked
First add \(\frac{1}{4} and\frac{3}{8}\) canvert 1/4 by multiplying by 2/2 to get a commmon denominator.
\(\frac{1}{4} *\frac{2}{2} =\frac{2}{8}\)
\(\frac{2}{8} +\frac{3}{8} =\frac{5}{8}\)
Now find a common denominator for 3/5 and 5/8 by multiplying 3/5 by 8/8 and 5/8 by 5/5.
\(\frac{3}{5}*\frac{8}{8}=\frac{24}{40}\)
\(\frac{5}{8}*\frac{5}{5}=\frac{25}{40}\)
Now add them.
\(\frac{24}{40}+\frac{25}{40}=\frac{49}{40}=1\frac{9}{40}\)miles
You can also convert all to decimals and add.
3/5 = .6
1/4 = .25
3/8 = .375
.6 + .25 + .375 = 1.225
Also 1 \(\frac{9}{40}\) = 1.225