The day in June, Jessica volunteered at both locations if she volunteers at the library every 6 days and at a veterinarian's office every 10 days is June 30, so option F is correct.
What is LCM?The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.
For instance: The LCM of 2 and 3 is 6.
Given:
Jessica volunteers library every 6 days,
Jessica's veterinarian's office, every 10 days,
So for her visit to both, the place takes the LCM of 6 and 10,
LCM of 6 and 10 = 30,
Hence, on the 30th day, she visits both places so if she starts volunteering from the 1st of June then she will visit both places on the 30th of June.
Therefore, The day in June, Jessica volunteered at both the location if she volunteers at a library every 6 days and at a veterinarian's office every 10 days. Jessica’s first visit to the library was on June 6 and her first visit to the veterinarian's office was on June, 1st is June 30.
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Answer:June 30th
Step-by-step explanation:
So Jessica volunteers every 6 days and 10 days at different places.From June 6th and June 1st you see which one is good for both of them and then June 30th is the answer.
Can someone help me with this?
Answer:
add to 180, equal, add to 180, equal
Step-by-step explanation:
<1 + <2 = 180
<1 = <3
<3 + <4 = 180
<2 = <4
if a 48-gram serving of pasta contains 6 g of protein how many grams of protein are in a 1,362 gram box of pasta
Answer:
170.25 grams of protein
Step-by-step explanation:
6/48 = p/1362
cross multiply
6 x 1362 = 48p
8172 = 48p
isolate variable (p) with division
8172/48 = p
170.25 = p
What is the length of the diagonal of a non -regulation tennis court with length 20 feet and width 15 feet
Answer:
25 feet
Step-by-step explanation:
using the sides 20 and 15, use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the 2 side lengths and the diagonal.
[tex]a^{2} +b^{2} =c^{2} \\20^{2} +15^{2} =c^{2} \\400+225=c^{2} \\625=c^{2} \\25=c[/tex]
(no links) Please Help!
Answer:
Part A: D Part B: B
Step-by-step explanation:
This question is so free
Expand and simplify (2x + 1)(x + 3)
expand and simplify (2x + 1)(x + 3)
answer : [tex]2x^2+7x+3[/tex]
-
explanation : expand the polynomial using the FOIL method.
-
FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.
-
step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)
ex : [tex]2x * x+2x * 3+x+3[/tex]
step 2 : calculate the product
ex: [tex]2x^2+2x * 3+x+3[/tex]
step 3 : calculate the product
ex: [tex]2x^2+6x+x+3[/tex]
step 4 : collect like terms
ex: [tex]2x^2+7x+3[/tex]
-
solution : [tex]2x^2+7x+3[/tex]
hope this helps !
- audrey ♡
In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84. What ratio represents the cosecant of ∠P?
Given:
In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84.
To find:
The cosecant of ∠P.
Solution:
In a right angle triangle,
[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Perpendicular}[/tex]
It is also written as:
[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Opposite}[/tex]
In triangle PQR, QP is the hypotenuse because ∠R=90°.
[tex]\text{cosec}P =\dfrac{QP}{RQ}[/tex]
[tex]\text{cosec}P =\dfrac{85}{13}[/tex]
Therefore, the required trigonometric ratio is [tex]\text{cosec}P =\dfrac{85}{13}[/tex].
Kong took 15%, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds.
How many seconds did Nolan take?
Answer:
Step-by-step explanation:
Which means that Nolan took 100 seconds. This is all from Khan Academy so it's correct!!
Una persona compra borregos, cabras y puercos jabalí. Son 100 animales vivos en total y paga $100 mil pesos. Cada borrego costó $500 pesos, tres cabras cuestan $4000 y cada puerco jabalí $3500.
Si denotamos con la variable xel número de borregos comprados por la persona, con y el número de cabras y con z el número de puercos jabalí, escribe las ecuaciones que representan las relaciones entre x,y,zde acuerdo a la información proporcionada.
Answer:
I'm sorry I just need points
Step-by-step explanation:
Use I = PRT to find the total amount in the savings account.
$1555.00 at 8% for 2 years
PLEASE HELP ASAP
Answer:
[tex]\boxed {\boxed {\sf \$ 1803.80}}}[/tex]
Step-by-step explanation:
We are using the formula I=PRT and calculating simple interest.
[tex]I=PRT[/tex]
I is the interest, P is the principal or starting amount, R is the interest rate as a decimal, and T is the time in years.
We know that there is $1555.00 at 8% for 2 years. First, convert the interest rate to a decimal. Divide the rate by 100 or move the decimal place 2 spots to the left.
8/100 = 0.08 8. --> 0.8 --> 0.08Now we know all the values:
P= 1555.00 R= 0.08T= 2Substitute the values into the formula.
[tex]I= (1555.00)(0.08)(2)[/tex]
Multiply.
[tex]I=124.4(2)[/tex]
[tex]I=248.8[/tex]
The account earned $248.80 in interest, but the question asks for the total amount in the account. We must add the interest to the starting amount.
[tex]1555.00 +248.80[/tex]
[tex]1803.8[/tex]
After 2 years, the savings account had $1803.80
Step-by-step explanation:
Principal=P=1555
Rate of Interest=I=8%=0.08
Time=t=2
Interest=I=PRT
➜1555×0.08×2
➜248.8
Savings=P+I➜1555+248.8
➜1803.8
Help pls I’ll give extra pointz
Answer:
The answer is (A) decreases
-4, 1, 8, 4, 8, 7, 10, -5, -2, 7
Work out the mean temperature
Please help me the homework is due tomorrow
Which graph represents an odd function?
please hurry its timed
Considering it's definition, an odd function is represented by the second function given.
What defines an odd function?An odd function is defined by the following rule:
f(x) = -f(x).
This means that for example:
If f(1) = -1, then f(-1) = 1.If f(2) = 0, then f(-2) = 0.If f(3) = 5, then f(-3) = -5.The only graph for which this relation is valid in this problem is the second graph, from which all examples off the numeric values were taken, hence an odd function is represented by the second function given.
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what is 5 1/2 + 2 1/7
Answer:
[tex]7\frac{9}{14}[/tex]
Step-by-step explanation:
5 1/ 2 +2 1/ 7
= 11/ 2 +2 1/ 7
= 11/ 2 + 15/ 7
= 107/ 14
=7 9/ 14
Answer:
7 9/14
Step-by-step explanation:
Combine the whole numbers and fractions together:
(5 + 2) + ( 1/2 + 1/7)
The whole numbers part is:
5 + 2 = 7
For the fractions part:
The Least Common Multiple (LCM) of 2 and 7 is 14. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
1/2 + 1/7 = 1 × 7 + 1 × 2
--------- ------- = 7 /14 + 2/14 = 7 9/14
2 × 7 + 7 × 2
Slope = 4
Y-intercept = -1
Answer:
y = 4x -1
Step-by-step explanation:
You use the equation y = mx + b
m is the slope, so you just substitute 4 for m, and b is the y-intercept, so you substitute -1 for b
Which of the following graphs is the same as y = log1/2x?
Answer:
x=2^-y
A
Step-by-step explanation:
x | y
1 | 0
2 | -1
4 | -2
Jill owe $4 dollars to Jennifer, $4 to Michelle, and $4 to Eileen. How much does she owe altogether?
Answer:
12
Step-by-step explanation:
4+4+4=12 :)
Answer:12
Step-by-step explanation:
Find the value of the expression 3+4r+n3 n=1 and r=2
Answer:
14
Step-by-step explanation:
I'll show you how I did it.
3+4r+n3=?
3+(4*r)+(n*3)=?
3+8+3=?
11+3=14
Pls help!!
Jody has 15 pound bag of potatoes. She uses 3/4 of the bag to make potato salad. How many pounds of potatoes does Jody use for the potato salad?
Answer:
11.25
Step-by-step explanation:
15x3/4=45/4=11.25pounds
256-x²/4
factorise in process
Answer:
[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]
Step-by-step explanation:
The given expression is : [tex]256-\dfrac{x^2}{4}[/tex].
We need to factorize it.
We know that, 16² = 256
So,
[tex]256-\dfrac{x^2}{4}=(16)^2-(\dfrac{x}{2})^2[/tex]
We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]
[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]
Hence, this is the required solution.
A smartphone costs $250. Sales tax is 7%. What is the total cost, including tax?
The cost of the smartphone, with tax, is $
Answer:17.5
Step-by-step explanation:
Our output value is 250
We represent the unknown value wit “x”
250= 100%
x= 7%
By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
250/x = 100%/7%
Again, the reciprocal of both sides gives
x/250= 7/100
X= 17.5
17.5=7% of 250
When Rashaad goes bowling, his scores are normally distributed with a mean of 175
and a standard deviation of 13. Using the empirical rule, determine the interval that
would represent the middle 68% of the scores of all the games that Rashaad bowls.
Answer:
The interval (162, 188)would represent the middle 68% of the scores of all the games that Rashaad bowls.
Step-by-step explanation:
As per the empirical rule of normal distribution, for any normally distributed curve, the values lie between the extreme values i.e
(μ - σ) and (μ + σ).
Given
μ = 175
σ = 13
(μ - σ) = 175 -13 = 162
(μ + σ) = 175 + 13 = 188
Hence the required interval is 162, 188
Use a permutation expression to solve.
In a race of 39 people, how many different ways can the runners place in 1st, 2nd, and 3rd?
9,139
18,278
54,834
59,319
Answer:
C. 54,834
Step-by-step explanation:
Took the test
[tex]\int\{-2+(x^{2} +3x)^(6/5) - x^3} \, dx[/tex]
Apply sum rule:
- 2dx + (x^2 +3x) 6/5dx = x^3dx
2dx = 2x
(x^2 + 3x) 6/5dx = 6/5 (x^3/3 + 3x^2/2)
x^3dx = x^4/4
-2x + 6/5 (x^3/3 + 3x^2/2) - x^4/4
Add constant
-2x + 6/5 (x^3/3 + 3x^2/2) - x^4/4 + c
Can someone please help me with both I will mark u brilliant
Answer: Question 5 is 18
Question 6 is 11
Step-by-step explanation:
Solve the rational equation:
1 1 1
x-2x+3 5
O A. X=-6.09, x= 5.09
B. There is no solution.
O C. x=-3.09, x= 2.09
D. X=-3, x= 2
The solutions for the equation 23 - x² - 2x = 0 are:
x = 4
x = -6
Option A is the correct answer.
We have,
To solve the rational equation:
1/(x - 1) - 1/(x + 3) - 1/5 = 0
We need to find the common denominator and combine the fractions on the left-hand side.
The common denominator is (x - 1)(x + 3)(5).
Multiplying each term by the common denominator:
[(x + 3)(5) - (x - 1)(5) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0
Simplifying:
[5(x + 3) - 5(x - 1) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0
[5x + 15 - 5x + 5 - (x² + 3x - x - 3)] / [(x - 1)(x + 3)(5)] = 0
[5x + 15 - 5x + 5 - x² - 3x + x + 3 ] / [(x - 1)(x + 3)(5)] = 0
Simplifying further:
[23 - x² - 2x ] / [(x - 1)(x + 3)(5)] = 0
Now, we set the numerator equal to zero since a fraction is zero if and only if its numerator is zero:
23 - x² - 2x = 0
To solve the quadratic equation 23 - x² - 2x = 0, we can rearrange it to the standard form:
x² + 2x - 23 = 0
Now, we can solve it using factoring, completing the square, or the quadratic formula. Let's solve it using the quadratic formula:
The quadratic formula states that for an equation in the form
ax² + bx + c = 0, the solutions for x are given by:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation x² + 2x - 23 = 0, the coefficients are a = 1, b = 2, and
c = -23.
Substituting these values into the quadratic formula:
x = (-2 ± √(2² - 4(1)(-23))) / (2(1))
Simplifying:
x = (-2 ± √(4 + 92)) / 2
x = (-2 ± √96) / 2
x = (-2 ± 4√6) / 2
Simplifying further:
x = -1 ± 2√6
Therefore,
The solutions for the equation 23 - x² - 2x = 0 are:
x = -1 + 2√6 = 3.89 = 4
x = -1 - 2√6 = -5.89 = -6
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Which expression is equivalent to7sqrt x^2/ 5 sqrt y^3
?Assume y/=0,
Answer:
7sq rt = 2.6457513110645907 = sqrt y^3
Step-by-step explanation:
If 154 pounds is the lightest weight, then
pounds is the heaviest.
170
163
169
Answer:
169 Pounds
Step-by-step explanation:
...
Line A passes through the point (-8, 3) and is perpendicular to the line represented by the equation
y = -4x + 9. Line A can be expressed as an equation of the form y = mx + b.
Part A
What is the value of m for line A?
Part B
What is the value of b for line A?
Answer:
Did u get the answers ?
Step-by-step explanation:
I need help lol
Answer: A: -4 B:-29
Step-by-step explanation:
determine a if x-2 is a factor of f(x)=x^4-3x^3+ax^2-16x+20
Answer:
x-2 is factor so 2 is zero of f(x) =x^4-3x^3+ax^2-16x+20
Step-by-step explanation:
2^4-3×2^3+a×2^2-16×2+20
solve this Answer is come.THANK YOU.
If (x - 2) is a factor of the polynomial f(x) = x⁴ -3x³ + ax² -16x + 20.
Then the value of a is -17.
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
A polynomial,
x⁴ -3x³ + ax² -16x + 20.
If x - 2 is a factor the x = 2 is the zeros of the polynomial.
When x = 2,
then,
x⁴ -3x³ + ax² -16x + 20 = 0
2⁴ -3(2)³ + a(2)² -16(2) + 20 =0
48 + 20 + 4a = 0
4a = -68
a = -17
Therefore, the value of a is -17.
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THIS QUESTION IS WORTH 50 POINTSMatt and his friends hike 42 mi over a holiday weekend. they hike for 5 hours on saturday, 6 hours on sunday, and 3 hours on monday. they go hiking the following weekend. if they hike at the same rate as they hiked over the holiday weekend, how long will it take to hike 12 mi