Answer:
Olivia wrapped 6 gifts and prepared 8 giftbags.
Step-by-step explanation:
Write System of Equations:
3x+1.5y= 30 x+y=14
x+y= 14 y=-x+14
3x+1.5y=30
1.5y=3x+30
1.5y divided by 1.5 is y
-3x+30 divided by y is -2x+20
y=-2x+20
Olivia wrapped 6 gifts and made 8 Giftbags.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Olivia can wrap a single gift in 3 minutes and she can do a giftbag in 1.5 minutes
Olivia prepared a total 14 gifts in 30 minutes.
let number of gifts Olivia wrapped be x.
and, number of giftbags she prepared be y.
So, the equations are:
3x+1.5y= 30 .....(1)
x+y=14
Now, plotting these equations on graph we get intersecting point of two lines which shows x= 6 and y=8.
Hence, Olivia wrapped 6 gifts and made 8 Giftbags.
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An auto maker estimates that the mean gas mileage of its sports utility vehicle is at least 20 miles per gallon. A random sample of 36 such vehicles had a mean of 18 miles per gallon and a standard deviation of 5 miles per gallon. At α = .01 can you reject the auto maker's claim?
Answer:
Yes, we reject the auto maker's claim.
Step-by-step explanation:
H0 : μ ≥ 20
H1 : μ < 20
Sample mean, xbar = 18 ;
Sample size, n = 36
Standard deviation, s = 5
At α = 0.01
The test statistic :
(xbar - μ) ÷ s /sqrt(n)
(18 - 20) ÷ 5/sqrt(36)
-2 /0.8333333
= - 2.4
Pvalue from test statistic : Pvalue = 0.00819
Pvalue < α
0.00819 < 0.01
Hence, we reject the Null
Can someone please help me answer this question asap thank you
Answer:
250
Step-by-step explanation:
i did cross multiplication 40/100 = 100/x
100*100 and divide by 40
What is the equation of the line shown in the graph?
Answer:
-6
Step-by-step explanation:
it is going through the y axis
8m - 5.5 =10.1
Help Please
Answer:
= 1.95
Step-by-step explanation:
8 − 5.5 + 5.5 = 10.1 + 5.5
8 = 15.6
8 = 15.6
8 8
first 5.5 means 55/10 and 10.1 means101/10 when we change them to fraction.
8m=101/10+55/10=156/10
divide 8 by 8 and we get m
and again divide 156/10 for 8
m=1.95
there are 24 marbles in a bag: 2/16 of the marbles are red, 1/8 of the marbles are blue, 1/4 of the marbles are yellow, 1/3 of the marbles are black, 1/6 of the marbles are silver. how many of each type of marble is there?
Answer: 3 red marbles, 3 blue marbles, 6 yellow marbles, 8 black marbles, 4 silver marbles
Step-by-step explanation:
I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.
For examples, 2/16 of the marbles are red. 2/16=x/24
You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.
Next, we would do 24 divided by 16= 1.5 Then 1.5 times 2=3
You would follow this rule for each fraction of marbles in order to find the true number of marbles out of 24.
Can I get help with number 14
Answer:
A
Step-by-step explanation:
-y = -2x+5
y = 2x-5
3x+2(2x-5)= -3
Two points are located at (−3,5)
-3
,
5
and (6,1)
6
,
1
.
Complete the equations below to show how you can use the Pythagorean theorem to find the distance between these two points
Answer:
The distance would be [tex]\sqrt{97[/tex].
Step-by-step explanation:
The least distance between them would be to draw a straight line between them.
By calculating the distance between the y values and the x values, you can calculate the distance.
y values:
|5 - 1| = 4
x values:
|6 - -3| = 9
| | = the absolute value, meaning you change the final sign to positive.
Use the Pythagorean theorem [tex]a^2 +b^2=c^2[/tex] and substitute the numbers in.
[tex]4^2 + 9^2=c^2 \\c^2 = 97\\c=\sqrt{97[/tex]
Write the expression using a positive exponent. Leave in fraction form and do not expand numbers, leave in exponential form.
For example, 2^-7 write as 1/2^7, do NOT write as 1/128 or 0.0078125. NO SPACES!
-8k^-4/k^6
Answer:
i have to see the assigment
Step-by-step explanation:
ok soooo
when you rrly think abt it we all have kicked a pregnant lady
Answer:
Step-by-step explanation:
lol true
13. The total cost of 3 equally-priced baseball caps is $48. How
much does a customer save by using a 15%-off coupon to buy
4 baseball caps?
A $21.60
B $9.60
C $7.20
D $2.40
T=21and u =4 what is \sqrt(t+U)
Answer: 5
Step-by-step explanation: 21 + 4 = 25
square root of 25 = 5
Answer and Step-by-step explanation:
T = 21
U = 4
[tex]\sqrt{ 21 + 4} \\\\\\\sqrt{25} \\\\\\5[/tex]
5 is the answer to the expression.
#teamtrees #PAW (Plant And Water)
The amount of carbon-14 in an object is given by y = ae– 0.00012t where a is the initial amount of carbon and t is the age in years. A fossil bone contains 25% of its original carbon-14. What is the approximate age of the bone?
Answer:
The approximate age of the bone is approximately 11552 years.
Step-by-step explanation:
The current proportion of carbon-14 with respect to its original amount is defined by following formula:
[tex]\frac{y}{a} = e^{-0.00012\cdot t}[/tex] (1)
Where:
[tex]y[/tex] - Current amount of carbon-14, no unit.
[tex]a[/tex] - Initial amount of carbon-14, no unit.
[tex]t[/tex] - Time, in years.
If we know that [tex]\frac{y}{a} = 0.25[/tex], then the approximate age of the bone is:
[tex]t = -8333.333\cdot \ln \frac{y}{a}[/tex]
[tex]t\approx 11552.453\,yr[/tex]
The approximate age of the bone is approximately 11552 years.
There are a total of 105 students in a drama club and a yearbook club. The drama club has 15 more students than the yearbook club. How many students are in the drama club? the yearbook club?
2) The equation y = 18x represents the relationship between 2, the number of hours biked, and
y, the distance traveled,
Which ordered pairs represent a number of hours and the corresponding
distance in the given equation? Choose ALL that apply.
(2,36)
(3,54)
(5,23)
(23,5)
(36,2)
(54,3)
Answer:(2,36)and (3,54)
Step-by-step explanation:
Answer:
(2, 36) and (3, 54)
Step-by-step explanation:
I just answer the question from iready and I got it correct.
Roxie plans on purchasing a new desktop computer for $1250. Which loan description would result in the smallest amount of interest she would have to pay?
12 months at 6.25% annual simple interest rate
18 months at 6.75% annual simple interest rate
24 months at 6.5% annual simple interest rate
30 months at 6.00% annual simple interest rate
Answer:
12 months at 6.25%
Step-by-step explanation:
You deposit $1250 into a bank account paying 6.25% simple interest per month. You left the money in for 12 months. Find the interest earned and the amount at the end of those 12 months?
Result:
The interest is $937.5 and the amount is $2187.5.
Explanation:
STEP 1: Convert interest rate of 6.25% per month into rate per year.
STEP 2: Convert 12 months into years.
STEP 3: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this examplee P = $1250, i = 75% and t = 1 years, so
STEP 4: Find an amount by using the formula .
Since P = $1250 and I = $937.5 we have
|x+8|=x+8 what is x?
Answer:
x ≥ 0
Step-by-step explanation:
The absolute value of x+8 equals itself, thus x must be a real number (0 or any positive number).
The value of x in |x+8|=x+8 is -8.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
|x+8|=x+8
Now,
To solve this equation, we need to consider two cases:
Case 1: x+8 is positive or zero. Then |x+8|=x+8 and we can solve for x by subtracting 8 from both sides:
|x+8|=x+8
x+8=x+8
x=x
This means that any value of x is a solution in this case.
Case 2: x+8 is negative. Then |x+8|=-(x+8) and we can solve for x by adding 8 to both sides and dividing by -2:
|x+8|=-(x+8)
x+8=-(x+8)
2x=-16
x=-8
Therefore, by the given equation the answer will be -8.
Learn more about equations here;
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Please help me with this questions please please ASAP ASAP please ASAP help please please ASAP please I'm begging you please please ASAP
Answer:
3/2
I hope this is correct
Answer:
3/2 = 1.5
Step-by-step explanation:
Find two corresponding sides whose lengths are given.
AB and WX
The scale factor from quad ABCD to quad WXYZ is the ratio of a length in WXYZ to the corresponding length in ABCD.
scale factor = 12/8 = 3/2 = 1.5
_______1. What is 22% of 10?
_______2. 16% of 30 is ______.
_______3. 25 percent of 50 is ______.
_______4. What is 65% of 300
_______5. Find 10% of 450
A. 195
B. 45
C. 4.8
D. 12.5
E. 2.2
Pa sagot po pls
Answer:
1. 22% of 10 = 2.2
2. 16% of 30 = 4.8
3. 25% of 50 is 12.5
4. 65% of 300 = 195
5. 10% of 450 = 45
HAHA, I KNEW IT!!!
HOPE THIS HELPS!!!!
MARK AS BRAINLIEST (probably)
GIVE 5 STARS PLEASE
Answer:
E - 2.2C - 4.8D - 12.5A - 195B - 45Step-by-step explanation:
For each questions, multiply the whole number by the percentage.
Or, change each percentage by getting rid of the percentage sign and dividing by 100.
EX : 65% = .65 or 22% = .22
10 x .22 = 2.2
write a letter to your friend in another school telling her why you like your school
Answer:
I hope this helps but I do not really know what your school is like.
Step-by-step explanation:
Dear Friend,
I wish you could be here at my school, it is really a great school. Here everyone is so helpful, and you are sure to find lots of friends. The teachers don't care of your race, gender, or backround, or anyone. Everyone is so nice and caring. Also, their food is healthy and delicious, and they have different varieties of food each day so that you have to pick from. Did I also tell you that, safety is the number one thing that is on the list, they help remind you what you can do to stay safe, and they have top security with guards, cameras, locked gates, and drills. Also, during lunch or recess or lunch they have plenty of things you do, like they have benches for relaxing, basketball courts, and a big soccer field. Finally, bullying is not tolerated here. But, if there is anything that is bothering you, we beautiful amazing counselors that will help you through anything. So, I help this makes you want to come over here.
-Sincerely,
Your friend.
Consider the quadratic equation x2+8x+9=0. Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula?
Answer:
x²+8x+9=0
Comparing above equation with ax²+bx +c
we get
a=1
b=8
c=9
quadratic equation is
[tex]x = \frac{ - 8± \sqrt{ {8}^{2} - 4×1×9} }{2*1} [/tex]
[tex]x = \frac{ -8± \sqrt{ 64-36} }{2} [/tex]
2x+8=±[tex] \sqrt{ {28}}[/tex]
taking + ve
2x=[tex] \sqrt{ {28}}[/tex]-8
x=[tex] 2\sqrt{ {7}}[/tex]-8/2
x=[tex] \sqrt{ {7}}[/tex]-4
taking -ve
2x=-[tex] \sqrt{ {28}}[/tex]-8
x=-[tex] 2\sqrt{ {7}}[/tex]-8/2
x=-[tex] \sqrt{ {7}}[/tex]-4
As given
x²+8x+9=0General equation
Ax²+Bx+COn comparing
A=1B=8C=9Solve the equation.
[tex] {3}^{4(m + 1)} + {3}^{4m} - 246 = 0 \\ [/tex]
[tex]3^{4m+4}+3^{4m}=246\\ (3^{4}+1)*3^{4m}=246\\82*3^{4m}=246\\3^{4m}=3\\m=\frac{1}{4}[/tex]
Exercise 1. A batch of 400 containers for frozen orange juice contains 4 that are defective. Two are selected, at random, without replacement from the batch.
(1) What is the probability that the second one selected is defective given that the first one was defective?
(2) What is the probability that both are defective?
(3) What is the probability that both are non-defective?
Answer:
1. 1/13,300
2. 1/13,300
3. 2607/2660
Step-by-step explanation:
Probability is the ratio of the number of possible outcomes to the number of total outcome. The probability that an event will happen added to the probability of the same even not happening is 1.
Given that there are 400 containers of frozen orange juice with 4 that are defective,
non-defective = 400 - 4 = 396
Probability of selecting
Non-defective = 396/400 = 99/100
Defective = 4/100 = 1/100
the probability that the second one selected is defective given that the first one was defective is the same as the probability that both are defective
= 4/400 *3/399
= 1/13,300
the probability that both are non-defective
= 396/400 * 395/399
= 99/100 * 395/399
= 33*79/20*133
= 2607/2660
What is the factored form of x2 - 6x - 16?
O(x – 4)(x - 2)
O (x + 4)(x - 2)
O(x - 2)(x + 8)
(x-8)(x + 2)
Answer:
( x - 8 ) ( x + 2 )
Step-by-step explanation:
x² - 6x - 16
= x² + 2x - 8x - 16
= x ( x + 2 ) - 8 ( x + 2 )
= ( x - 8 ) ( x + 2 )
Answer: He's right its D.) (x-8)(x=2)
Step-by-step explanation:
7) Find the perimeter of triangle ABC. Round all answers to the nearest tenth.[6 points)
A
Please help!!! I’ll mark brain list too!
Answer: 14.6
Step-by-step explanation:
I made a square around the triangle which I then counted the squares, found the Pythagorean theorem, and then added the missing sides together
plssssssss help solve
Answer:
cosine = adjacent/hypotenuse
cos A = 20/29 (choice: yellow)
Step-by-step explanation:
Answer:
yellow
Step-by-step explanation:
Please help I'm begging a ACE OR GENES To help me please please help please please ASAP please please help please please ASAP please please help
Answer:
3/2
Step-by-step explanation:
WX/AB = 12/8 = 3/2
Answer: 3/2
5. Find mZFOE
35
55
70
110
(1 point)
Answer:
your answer to this question is 35
x^2-8x+15
expresión racional
Answer:
x = 3, 5
Step-by-step explanation:
(x - 3)(x - 5) = 0
PLEASEEEE HELP I WILL GIVE BRAINLIEST!!
June, July, and August are the hottest months in Las Vegas. What are the average maximum temperatures for these months?
HELP HELP HELP
Answer:
The average is 5.41666667 degrees.
Step-by-step explanation:
(-1 1/4 divided by (-0.2)
Answer:
6.25
Step-by-step explanation: