x mL of the 35% saline solution contains 0.35x mL of salt.
10 mL of the 75% solution contains 0.75 • 10 mL = 7.5 mL of salt.
After mixing, the scientist would have a total volume of (x + 10) mL. We know its concentration is 40%, so it contains 0.40 (x + 10) mL of salt.
The total amount of salt before and after mixing must be the same, so
0.35x + 7.5 = 0.40 (x + 10)
Solve for x :
0.35x + 7.5 = 0.40x + 4.0
0.10x = 3.5
x = 35
The scientist used 35 mL of the 35% solution.
Riley drank 8/10 quart of iced tea and her friend drank 0.3 quart. How much more of a quart of iced tea did Riley drink than her friend?
Answer:
1/2
Step-by-step explanation:
0.3 can be converted into 3/10. TO find out how much more of a quart of iced tea that Riley drank than her friend, we have to subtract the amount of iced tea that her friend drank from the amount that Riley drank.
8/10 - 3/10 = 5/10
Now, we have the opportunity to simplify the fraction. 5/10 is the same as 1/2. Therefore, Riley drank 5/10, or 1/2, more than her friend. I hope this helps! Have a lovely day!! :)
will give brainliest if your answer is CORRECT
Answer:
I really don't know but i'm getting a gut feeling looking at B
Step-by-step explanation:
Like i said i don't know but b seems good enough
Yesterday a car rental agency rented 4 convertibles and 30 other vehicles. Considering this data, how many of the first 68 vehicles rented today should you expect to be convertibles?
100 points and brainliest to answer
Answer:
8
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Given:
number of convertibles = 4total number of vehicles = 30 + 4 = 34[tex]\implies \sf P(convertible)=\dfrac{4}{34}=\dfrac{2}{17}[/tex]
To find the expected number of convertibles from the first 68 vehicles:
[tex]\begin{aligned}\implies \sf P(convertible) \times 68 & =\sf\dfrac{2}{17} \times 68\\\\ & = \sf8\end{aligned}[/tex]
Answer:
30 other vehicles + 4 convertibles = 34 cars
34 * 2 = 68
30 * 2 other vehicles + 4 * 2 convertibles = 68 cars
60 other vehicles and 8 convertibles
hope it helps you
What is the discriminant of the quadratic equation 7x2 – 9x – 9=0?
A)171
B)333
C)-333
D)-171
Answer:
B) 333.
Step-by-step explanation:
The discriminant of ax^2 + bx + c = 0
is b^2 - 4ac
So here we have:
(-9)^2 - 4*7*-9
= 81 + 252
= 333.
write 1.257 multiply by 10 to the power of 5
Answer:
1.257*10^5
Step-by-step explanation:
10 to the power of 5 : [tex]10^{5}[/tex]
1.257 multiply by 10 to the power of 5 : [tex]1.257[/tex] x [tex]10^{5}[/tex]
For each ordered pair, determine when weather it’s a solution to 7x -6y=19
Solutions:
(7,5)
(1,-2)
(-5,3)
(-4,0)
Options A and B
Solution:In order to determine whether or not an ordered pair is a solution to an equation, plug in the values of x and y:7x-6y=197(7)-6(5)=1949-30=1919=19We have a true statement. Therefore, the ordered pair is a solution to the equation 7x-6y=19.Let's try the other ordered pairs.7(1)-6(-2)=197+12=1919=19Here's another true statement.Let's check the remaining two options:7(-5)-6(3)=19-35-18=19-53≠19Here we have a false statement.7(-4)-6(0)=19-28-6=19-34≠19Therefore, the ordered pairs that make this equation true are (7,5) and (1,-2)Hope it helps.
Do comment if you have any query.
Which expression represents the value of the series below? 3 7 11 15 ... 1,671
Answer:
Let n be the sequence number, starting with 0. The first number is 3, each succeeding number is incremented by 4. The nth number would have the value 3+4n
Step-by-step explanation:
Using the above formula yields the attached table of values. We see that if n=417, that the value of 1,671 is correctly predicted.
Barbara got a flat tire and does not have a spare. she needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire. she borrows $75 and plans to pay it back when she gets paid in 8 days. barbara is charged a fee of $15 and the term on her loan is 8 days. approximately what is the annual percentage rate on her loan? a. 228% b. 487% c. 913% d. 973%
The annual percentage rate of the loan is approximately 913%. option c is correct.
What is the annual percentage?The yearly interest earned by an amount charged to borrowers or paid to investors is referred to as the annual percentage rate.
APR is a percentage that indicates the real annual cost of money for a loan or investment over the period of the loan.
The amount borrowed = $75
no of days =8 days
Fees charged = $15
The annual percentage is found as;
[tex]\rm r = \frac{final \ value}{initial \ value } -1 \\\ \rm r = \frac{f 90}{75 } -1 \\\\ r=0.20 \\\\[/tex]
If the rate of interest is 20% then the annually the rate is obtained as;
[tex]\rm r_{annual}= \frac{0.20}{8 \ days} \times \frac{365}{1 \ year} \\\\ \rm r_{annual}=913 /year[/tex]
Hence the annual percentage rate of the loan is approximately 913%. option c is correct.
To learn more about the annual percentage refer to the link;
https://brainly.com/question/17613825
Answer:
C
Step-by-step explanation:
Barbara got a flat tire and does not have a spare. She needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire. She borrows $75 and plans to pay it back when she gets paid in 8 days. Barbara is charged a fee of $15 and the term on her loan is 8 days. Approximately what is the annual percentage rate on her loan?
a.
228%
b.
487%
c.
913%
d.
973%
C
What is the surface area of the right cone below?
A. 3047 units-
B. 4967 units?
C. 1841 units-
D. 248 units
Answer:
184π units²
Step-by-step explanation:
see attached for reference
given sloped height = 15 units
base radius = 8 units
the height of the cone can be found by using the Pythagorean equation
(sloped height)² = height ² + (base radius)²
15² = h² + 8²
h² = 15²-8² = 161
h = √161
Base surface area = πr² = π 8² = 64π units²
Lateral Surface Area,
= πr √(r² + h²)
= π(8) √[ (8)² + (√161)² ]
= 8π√(64 + 161)
= 8π√225
= 8π (15)
= 120π
Surface area = base area + lateral surface area
= 64π + 120π
= 184π units²
Answer:
C. 184π units²Step-by-step explanation:
Surface Area of a cone : πrl + πr² = πr(l + r)
r = radiusl = slant heightSolving
SA = π x 8 (15 + 8)SA = π x 8 x 23SA = 184π units²A restaurant chain order £3940 of rice and £20 bags about how many £20 bags of rice did the chain order
Answer:
Step-by-step explanation:
Koro - Sensei has 8 more students in his class than Ms.Fizzle. They have a total of 32 students together. Calculate the number of students in Koro - Sensei's class
Answer:
Koro-Sensei's class has 20 kids in it.
Step-by-step explanation:
This is simple.
Ex: 20-12 = 32
Please help I need to pass this class
Answer:
Shown Below...
Step-by-step explanation:
6) 5.25% will be 5.25/100 = 0.0525
0.0525 x $333.75 = $17.5 (rounded)
$333.75 + $17.5= $351.25
7) 15% will be 15/100 = 0.15
0.15 x $16 = $2.4
$16 + $2.4 = $18.4
8) 20% will be 20/100 = 0.2
0.2 x $2800 = $560
Since it is off the original price, this will be subtraction.
$2800 - $560 = $2240 will be the sales price.
----------
8.25% will be 8.25/100 = 0.0825
0.0825 x $2240 = $184.8
$2240 + $184.8 = $2424.8 will be the total price including tax.
How many minutes does it take arnob to catch up to kathleen? 9.8 10 73.5 75
Answer:
so the anwer is d 75
75
D
.......
Answer:
75
Step-by-step explanation:
i got it right
Give the appropriate theorem or postulate that can
be used to prove the triangles similar:
A. AA Postulate
B. ASA Postulate
C. SSS Postulate
D. SAS Postulate
Answer:
The right answer is A. AA Postulate
what is the slope for 10 and 11?
HII can someone plss help me with this question. I got 192 but i dont know how to turn it into a base with an exponent. ----> b^e
= 1 × 3 × 4 × 4 × 4
= 1 × 3 × 64
= 3 × 64
= 192
Easy peasy...
What is the mean?
557544
Answer:
5
Step-by-step explanation:
mean = average
5 + 5 + 7 + 5 + 4 + 4 = 30
30/6 = 5
which represents the exspession 3 fewer than p
Answer:
p-3Step-by-step explanation:
Let me show you how to answer this question correctly.
A variable is P. Letters are represented as numbers by variables.
If you have fewer than that, you must subtract.
Therefore, the expression is p-3, which is our answer.I hope this helps! Let me know if you have any questions.
Answer:
[tex]p - 3[/tex]
Step-by-step explanation:
Step 1: Convert to an expression
3 fewer than p
This means that given a variable named p, we have 3 less than that so it can be simply displayed by p - 3.
Answer: [tex]p - 3[/tex]
3x^2=4x+3 Solve using quadratic formula
Answer:
The answer is in a picture, and please mods, check the picture before deleting it can be helpful sometimes.
Step-by-step explanation:
Here it is:
If m and n are whole numbers such that m^n = 121, then find the value of (m-1)^n+1.
Because m and n are whole numbers, we only have 3 values for m, and 3 values for n :
[tex]1^{121} ; 11^{11} ;121^{1}[/tex] (or you can say because 121 only have the factors of 1 ; 11 ; 121, those are the only possible values for m and n, then conclude the possible values)
Now, we will substitute them in :
If m = 1 ; n = 121
[tex](1-1)^{121+1}[/tex] = 0
If m = 11 ; n = 11
[tex](11-1)^{11+1}[/tex] = 1000000000000
If m = 121 ; n = 1
[tex](121-1)^{1+1}[/tex] = 14400
What is the volume of the right triangular prism shown below?
V = Bh
b = 1/2bh
Answer:
165
Step-by-step explanation:
V=BH
B=[tex]\frac{1}{2\\}[/tex]BH
V=([tex]\frac{1}{2}[/tex] x 5 x 6) x 11
V= ([tex]\frac{30}{2}[/tex]) x 11
V= 15 x 11
V= 165 f[tex]t^{2}[/tex]
HELP ME PLEASEEEE!!! 50 POINTS + BRAINLYEST!!!!
NO LINKS PLEASE!!!!!!
The graph shows two lines, A and B.
A coordinate plane is shown with two lines, A and B, graphed. Line A has a slope of negative 1 and crosses the y axis at 5. Lin
Picture's in the box bellow.
How many solutions are there for the pair of equations for lines A and B? Explain your answer. (5 points)
Answer:
For question 1)
Line A's Gradient= -1
y=-x+5 where 5 is the y-intercept
Line B's Gradient= 1
y=x+3 where 3 is the y-intercept
By equating two equations....
-x+5=x+3
2x+3=5
2x=2
x=1
1 solution
For question 2) answer would be the first option
Step-by-step explanation:
PLEASE HELP VERY URGENT
Suppose you know the following facts about angle ABC and angle DEF: (1) both triangles have sides of length a and b (2) For angle ABC, a^2 + b^2 = c^2 (3) For angle DEF, angle F is a right triangle. Use the list of expressions below to find the value of c in angle ABC and the length of the hypotenuse of angle DEF.
The value of c in angle ABC is _______ and the length of the hypotenuse of angle DEF is ________.
A. square root of a^2 + b^2
B. a^2 + b^2
C. b^2 - a^2
D. square root of a^2 - b^2
E. a^2 - b^2
F. square root of b^2 - a^2
(if u have trouble reading the text look at the attached photo for the question)
Answer:
A. square root of a^2 + b^2 for both answers
Step-by-step explanation:
The first problem, we are given
a^2 + b^2 = c^2
What we do is solve for c.
sqrt(a^2 + b^2) = c
c = sqrt(a^2 + b^2)
For problem 2,
WE can apply the Pythagorean theorem because we have a right triangle.
The equations is
a^2 + b^2 = c^2 like the first problem
Solving gets us
sqrt(a^2 + b^2) = c
c = sqrt(a^2 + b^2)
Simplyfy the following fraction: 50/75
Answer: 2/3
Step-by-step explanation: 50/75
25 can go into both.
50 divided by 25 = 2
75 divided by 25 = 3
Wendell is building a doghouse using these pieces of wood:
The pieces of wood to build a doghouse with the highest point to the lowest point of 28 inches.
Each length with one mark (I) is 36 inches. Each length with two marks (II) is 18 inches. Each length with three marks (III) is 30 inches. Each end has a height (from the highest point to the lowest point) of 28 inches.
The doghouse will have the shape shown once it is built.
The shape of the doghouse.
Part A
If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, what shape would the slice be?
If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.
What is a solid figure?A solid figure is a three dimensional shape having length, width and height. Examples of solid figures are cylinders, cone, pyramid and prism.
The shape represented by the doghouse would be a pentagonal prism. If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.
Find out more on solid figure at: https://brainly.com/question/8774322
A trader sold a bag of sugar at kshs. 4000. The buyer was allowed a trade discount of 10%. If he pays the debt in two weeks and a cash discount of 3% if payment is made within one month. Calculate the amount the trader received if the buyer paid within 15days
Answer:
4,013 dollars
Step-by-step explanation:
Can someone explain this to me , I'm behind in a lot of homework
Answer:
13: 16
14: 6.28
15: √45
Step-by-step explanation:
13: Count the number of spaces from A to D or B to C, which is 4.
Then, count the number of spaces from A to B or C to D, which is also 4.
After that, multiply the two numbers. You should now have an answer of 16.
14: You want to find the diameter of the circle, which is 2.
Then, multiply 2 by 3.14, aka pi. You should now have an answer of 6.28.
*15: Count the number of spaces from A to C, which is 6.
Then, count the number of spaces from A to B, which is 3.
After that, square both of the numbers. 6 x 6 = 36 and 3 x 3 = 9.
Now, the final step. Add both numbers together. 36 + 9 = 45.
You should now have an answer of √45.
I hope this helped!
*Solved using the Pythagorean theorem. Steps one and two can be done in the opposite order.
The probability of obtaining a head when a certain coin is flipped is about 0. 65. Which of the following is closest to the probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times?.
The probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times is 0.370
How to determine the probability?The given parameters are:
Sample size, n = 25Probability of success, p = 0.65Number of success, x ≤ 15The probability is represented using the following binomial formula
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]
Using the above formula, we have:
[tex]P(x \le 15) = 0.370[/tex]
Hence, the probability is 0.370
Read more about probability at:
https://brainly.com/question/251701
How do you create a rectangular prism with a volume of 315 cubic inches?
A rectangular prism with volume of 315 cubic inches can be formed with length, width and height of of 9inches, 7 inches and 5 inches respectively
How to form a rectangular prism with the given volumeVolume of a rectangular prism = lwh
where
h = heightw = widthl = lengthTherefore,
volume of the rectangular prism = lwh
315 = lwh
315 = 9 × 7 × 5
Therefore, a rectangular prism with volume of 315 cubic inches can be formed with length, width and height of 9inches, 7 inches and 5 inches respectively.
learn more on rectangular prism here: https://brainly.com/question/16043272
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Q1- Tommy pays $22.50 for 2.6 pounds of salmon. What is the price per pound of salmon?
Q2- The cost of 3 pounds of grapes is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x?
Q3- 1/2 of a pizza cost $9.50. How much would it cost for one whole pizza?
Q4-The cost of 1/4 cup of ice cream is $3.00. How much would it cost for one whole cup?