Answer:
she bought 70 shares of the $15 shares
she bought 20 shares of the $20 shares
Step-by-step explanation:
this would be solved using simultaneous equation
let a = $15 shares
b = 20 shares
a + b = 90 equation 1
15a + 20b = 1450 equation 2
Multiply equation 1 by 15
15a + 15b = 1350 equation 3
subtract equation 3 from equation 2
5b = 100
b = 20
substitute for b in equation 1
20 + a = 90
a = 70
The inverse of the function
Answer:
It should be B
Step-by-step explanation:
If the cost, C(x), for manufacturing x units of a certain product is given by
C(x) = x2 – 15x + 34
find the number of units manufactured at a cost of $8350.
Answer:
99 units.
Step-by-step explanation:
The cost function for manufacturing x units of a certain product is:
[tex]C(x)=x^2-15x+34[/tex]
We want to find the number of units manufactured at a cost of $8350. Therefore:
[tex]8350=x^2-15x+34[/tex]
Subtract 8350 from both sides:
[tex]x^2-15x-8316=0[/tex]
This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = -15, and c = -8316. Thus:
[tex]\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{15\pm\sqrt{33489}}{2}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{15\pm183}{2}[/tex]
Therefore, our solutions are:
[tex]\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84[/tex]
We cannot produce negative items, so we can ignore the second answer.
Therefore, for a cost of $8350, 99 items are being produced.
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple interest will she have to pay on the loan?
Answer:
$2750 worth of simple interest
Step-by-step explanation:
The equation for simple interest is to multiply the amount by the time by the rate:
22000 * 5 * 0.025 = 2750
201
Which equation, when paired with y = 2x+5,
creates an inconsistent system?
O 2x + y = 5
o y = 2x + 5
O 2x - 4y = 10
O 2y - 4x = -10
10
X
-20
20
DONE
-101
-20
The pair of equations creates an inconsistent system will be y = 2x + 5 and 2y - 4x = -10. Then the correct option is D.
What is a linear equation?The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If the slopes are equal but have different intercepts then the lines are parallel, then the system has no solution or is inconsistent.
The equation is given as,
y = 2x + 5
Check option D, then we have
2y - 4x = -10
y - 2x = - 5
y = 2x - 5
The slope of the lines is the same but with different intercepts.
Thus, the correct option is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ7
Each students in class 38 students was asked to report how many siblings he has. Data a 0/38 Data b 1/38 Data c 13/38 Data 8/38 Based on the data, estimate the probability that a randomly selected students from this class is an only child.
Answer:
8/38
Step-by-step explanation:
You got it right, trust yourself
A pair of sunglasses is priced $15. If they are on sale for 30% off, what is the sale price?
Answer:
12 dollars
Step-by-step explanation:
This means the cost of the item to you is $12. You will pay $12 for a item with original price of $15 when discounted 20%. In this example, if you buy an item at $15 with 20% discount, you will pay 15 - 3 = 12 dollars.
Answer:
$4.50
Step-by-step explanation:
We know that there are sunglasses has a price of fifteen dollars.
We also know that said glasses are on sale for 30% off.
We need to find the sale price of these sunglasses.
When you need to find a certain sale price for an item, you need to multiply the original price by the percent it's on sale for.
[tex]OGprice * percent -off[/tex]
[tex]15*30[/tex]%
[tex]4.5[/tex]
Therefore, the sale price is 4 dollars and 50 cents.
Which of the following properties justifies that: "If XU = UV and UV PQ, then XU = PQ"?
a. reflexive b. symmetric
c. transitive d. equivalence
Answer:
Transitive property
Step-by-step explanation:
Given
[tex]XU = UV[/tex]
[tex]UV = PQ[/tex]
Then:
[tex]XU = PQ[/tex]
Required
Determine the property
The property is transitive.
It states that:
Given that:
[tex]a= b[/tex] and [tex]b = c[/tex]
Then:
[tex]a = c[/tex]
When this is applied here, we have:
Given that:
[tex]XU = UV[/tex] and [tex]UV = PQ[/tex]
Then:
[tex]XU = PQ[/tex]
As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For
one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 120 milligrams of Medication A with 180
milligrams of Medication B. However this week, the doctor said to only use 165 milligrams of Medication B.
How many milligrams of Medication A should be mixed this week?
Answer:
Hi ^^
-------------------------
Solution:
Step one- Set up a ratio:
· Originally the ratio was: 110:143, make that equivalent to x:117
--> 110/143 = x/117 <-- notice this is A/B = A/B
--> to solve for x, just multiply by 117
x = 110 * 117 / 143 = 90 mg
----------------------------------------------------------------------------------------
·You should use 90 mg of medication A
oki baiiii ^^
Is (9,5) a solution to this system of inequalities?
X + y > 14
7x + 13y > 15
yes
no
Answer:
yes it is..............
Test Your Skills
4.
1. The ratio of girls to boys in the
art club is . If there are 36 boys
in the club, how many girls are in
the club?
Answer:
complete your question po kasi di ko po masasagutan yan kung hindi po yan completo
Question
The area of a triangular painting is 50 square inches. The base is 20 inches. What is the height?
Answer:
2.5 inches
Step-by-step explanation:
Area= 50 square inches
Base= 20 inches
Height=?
Area= base×height
50= 20× x
50= 20x
x= 50/20
= 2.5
Hence the height is 2.5 inches
Answer:5 inches
Step-by-step explanation:
how can i solve this problem if its congruent or not
9514 1404 393
Answer:
∆BCR ≅ ∆BAR
x = 6
Step-by-step explanation:
For congruence, define point R where the altitude line meets segment AC.
The diagram shows you AR ≅ RC. You know BR ≅ BR by the reflexive property, and you know that ∠BRC ≅ ∠BRA = 90°. You can therefore claim ...
∆BCR ≅ ∆BAR . . . . by the SAS congruence postulate
__
To solve for x, you don't need to show congruence of the right triangles. You only need to realize that the markings on segment AC show the left half is the same length (x) as the right half. The Pythagorean theorem is used to find x.
x² +8² = 10²
x² = 100 -64 = 36
x = √36 = 6
The length of x is 6 units.
_____
As you can see here, an altitude that is a median divides the isosceles triangle into two congruent right triangles. (That altitude also bisects angle B.)
You may recognize that the side ratios in the right triangle are 8:10 = 4:5. The missing side completes the Pythagorean triple 3:4:5, so is 2·3 = 6 = x.
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled. What is the probability of rolling a number greater than 2
Answer:
4/6 or 2/3. Depends if your teacher wants it reduced.
Step-by-step explanation:
Each number has a 1 out of 6 chance to be rolled. so it's 1/6 for rolling a 3, 1/6 for rolling a 4, 1/6 for rolling a 5, and 1/6 for rolling a 6. 4 x 1/6 = 4/6
Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
5
8
∘
58
∘
x
∘
x
∘
6
6
6
6
5.8
5.8
Answer:
10
Step-by-step explanation:
he question lacks appropriate diagram. Find the diagram attached below.
From the isosceles triangle shown, we can see that it is made up of two right angled triangle.
Using the Pythagoras theorem to solve for the adjacent side of both right angled triangles we will have;
From the formula:
Hyp² = Opp²+Adj²
Adj² = Hyp² - Opp²
The hypotenuse and the opposite of both triangle is equal. Hence their adjacent side will also be equal.
Given Hypotenuse = √74
Opposite = 7
Adj² = Hyp²-Opp²
Adj² = (√74)² - 7²
Adj² = 74-49
Adj² = 25
Adj = √25
Adj = 5
The adjacent of both sides are equal
x = 2 × Adjacent side
x = 2(5)
x = 10
I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT.What is the solution to the inequality 3+5/7x>1+x?
Answer:
C: X <= 7
Step-by-step explanation:
Reimagine the inequality as
3 - 1 >= X - 5/7*X
2 >= 2/7*X
1 >= 1/7 * X
7 >= X
Helppppppppp meeee pleaseeee
Answer:
99 kilograms
Step-by-step explanation:
if 1 tire is 11 kg then 9 tires is 99
1 tire = 11
9 tires= 11 * 9
=99 kg
Dominic is going to invest $1,800 and leave it in an account for 17 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Dominic to end up with $4,700?
Answer: 5.8%
Step-by-step explanation: got it right lol
Laurie is working on a carpentry project. She has n feet of wood. While working, she realized that she needs 1/4
more wood than she currently has. Which expressions represent the total amount of wood she needs for her project? Select all that apply.)
A.n+1/4
B.5/4n
C.1/4n
D.5/4+n
E.n+1/4n
Answer:
E because if she needs 1/4 more than what she already has then you have to multiply 1/4 of the wood she already has and add the wood that she already has
Fill in the blanks to complete the sentences below. (a) As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches ______. (b) If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than ______ standard errors from the population proportion. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.)
Answer:
a) the proportion of 95% confidence intervals that include the population proportion approaches 0.95
b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Step-by-step explanation:
a)
Given the the data in the question, confidence level is 95%.
In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.
b)
Given the the data in the question, confidence level is 95% and sample proportion
we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.
The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.
hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion
hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Using confidence interval concepts, it is found that:
a) As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 95%.
b) If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than 2 standard errors from the population proportion.
Item a:
For a x% confidence interval, approximately x% of confidence intervals will include the population proportion, and this percentage approaches x as the number of intervals increase, hence, the correct sentence is:
As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 95%.
Item b:
By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, hence, the correct sentence is:
If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than 2 standard errors from the population proportion.
A similar problem is given at https://brainly.com/question/23536238
Supposed that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in the tank. When carrying 14 gallons of fuel the airplane weighs 2177 pounds when carrying 42 gallons of fuel it weighs 2331 pounds. How much does the airplane weigh if it is carrying 48 gallons of fuel?
Answer:2885
Step-by-step explanation:
Select the statement that describes this expression: 5 x (3 + 4) − 4. (2 points)
a
5 times the sum of 3 and 4, then subtract 4
b
5 times 3 plus 4 minus 4
c
5 more than the sum of 3 and 4, and then subtract 4
d
5 times 3 plus the difference of 3 and 4
If x =10 what is x over 2 plus 3x ??
Answer:
35
Step-by-step explanation:
Substitute x in the equation for 10
x/2 = 10/2
+ 3x = + 3(10)
10/2 = 5
+ 3(10) = + 30
5 + 30 = 35
What is 863 divided by 4
Answer:
215.75
Step-by-step explanation:
. .
----
The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.
Answer: thier salaries are $5000 and $5500
Step-by-step explanation:
Let the average weekly salary of one employee be =x
And that of the other employee be = x+500
Such that if thier average of their salaries= $5250
So, their total salary= $5250 x 2=10,500
The equation to solve each employee salary becomes
x+x+500=10,500
2x+500=10,500
2x=10,500-500
2x=10,000
x=10,000 /2
x= first employee salary =$5000
second employee = x+500 =$5500
Hailey made the following statement: "It is impossible to build a rectangular prism with a volume of 40 units 3 if one side measures 5 units." Key represents 1 cubic unit Select the two figures below that prove Hailey's statement is false.(no links/files)
Answer:
The answer is 3) and 4)
Step-by-step explanation:
They both have 40 units and a side that measures 5 units
Can someone help me please ?
Answer:
It's 48 degrease
Step-by-step explanation:
Both of the other angles are the same which means that the other two are gonna be the same.
I have this trigonometry worksheet, I just need help with questions from 18 to 28. thanks :)
George has $12, which is $7 more than Tom has. How much money does Tom have?
a theater has 32 rows of seats. if there are 15 seats in the first row, 19 seats in the 2nd row, 23 in the 3rd row, and so on, how many seats total are there in all
Answer:
2464
Step-by-step explanation:
I added it up :)
which table has a constant of proportionality between y and x of 1/5? (from khan academy)
A.x-y
2-4/5
7-14/5
12-24/5
B.x-y
8-8/5
9-9/5
10-2
C.x-y
3-16/5
5-26/5
7-36/5
Answer:
C
Step-by-step explanation:
Solve for each choice until you get the answer 1/5.
A.
2 - 4/5
10/5 - 4/5 = 6/5; this is not 1/5
B
8 - 8/5
40/5 - 8/5 = 32/5; this is not 1/5
C
3 - 16/5
15/5 - 16/5 = -1/5
5 - 26/5
25/5 - 26/5 = -1/5
7 - 36/5
35/5 - 36/5 = -1/5; although this is negative, it still has the same proportionality of 1/5