Answer:
[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]
Step-by-step explanation:
Given that:
Last Sunday a certain store sold copies of Newspaper A for $1.00 each
A = 1
and copies of Newspaper B for $1.25 each,
B = 1.25
and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B.
Then ;
[tex]r = \dfrac{A}{A+1.25B} \times 100[/tex] --- (1)
[tex]p = \dfrac{A}{A+B} \times 100[/tex] --- (2)
From (2)
[tex]A+B = \dfrac{A}{p} \times 100[/tex]
[tex]B = \dfrac{A}{p} \times 100-A[/tex]
[tex]B = \dfrac{A( 100-p)}{p}[/tex]
Substituting the value of B into equation (1), we have:
[tex]r = \dfrac{A}{A+1.25 \times { \dfrac{A( 100-p)}{p}}} \times 100[/tex]
[tex]r = \dfrac{A}{A+1.25 \times { A( 100-p)}} \times 100p[/tex]
[tex]r = \dfrac{100p}{p+125 -1.25 p}[/tex]
[tex]r = \dfrac{100p}{125 -0.25 p}[/tex]
multiplying both numerator and denominator by 4; we have
[tex]r = \dfrac{4(100p) }{ 4(125 -0.25) p}[/tex]
[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]
Jamal recorded three values for measuring water in a graduated cylinder. The
values were 25.85, 24.1, and 24.56. What was the TOTAL amount of water
measured? *
Your answer
Answer:
74.51 mlStep-by-step explanation:
Hello!!!
from the problem statement we can infer that Jamal had a container of water where he fetches from to fill the graduated cylinder.
More so, after some couple of trails he recorded as follows
25.85, 24.1, and 24.56.
Hence the total amount of water he measured out of the container after three trials is
25.85+24.1+24.56= 74.51 ml
(assuming the cylinder is calibrated in ml)
The total volume of water he measures is 74.51 ml
Which equation is for a line passing through (-2,3) and (3,4)?
O x-5y-19
0 5x-y-17
O x-5y=-17
O x-y=1
Answer:
I need help on this to what is it
Which of the following is closest to
0 on the number line?
A) - | -5.1 |
B) 4.7
C) - | - 0.9 | D) - | 6.7 |
Answer:
C
Let's simplify the answers. Use absolute value.
| -5.1 | = 5.1 - > |5.1| = 5.1
4.7 - > |4.7| = 4.7
| -0.9 | = 0.9 - > |0.9| = 0.9
- |6.7| = -6.7 - > |-6.7| = 6.7
Now, order each from least to greatest.
0.9, 4.7, 5.1, 6.7
Which one is the smallest? 0.9
So, C is correct.
I'm sorry if I misunderstood.
Please rank Brainliest.
Always try your best and have a good day ;) !
Convert 21/4 into a mixed number
What would be the steps you would
take to solve the following problem?
5-2x=13
Answer:
-4
Step-by-step explanation:
1. Subtract the 5 from both sides
2. Now you have -2x=8. From here you are going to divide -2 from both sides to isolate the x value
3. Once you've done that you will have x=-4
add 16k to the quotient of 4m divided by 11
Answer:
[tex]\Large \boxed{\frac{4m}{11}+16k}[/tex]
Step-by-step explanation:
The quotient is the result from division.
4m divided by 11 is:
[tex]\displaystyle \frac{4m}{11}[/tex]
16k is added to the result.
[tex]\displaystyle \frac{4m}{11}+16k[/tex]
[tex]\sqrt[3]{-100}[/tex]? Please help.
Answer:
-∛100Decimal : -4.64158...Step-by-step explanation:
[tex]\sqrt[3]{-100}\\\\\mathrm{Apply\:radical\:rule}:\\\quad \sqrt[n]{-a}=-\sqrt[n]{a},\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}\\\\\sqrt[3]{-100}=-\sqrt[3]{100}[/tex]
please help! Thank you
Answer: 1. -90
Step-by-step explanation:
5xy², if x=-2 and y=-3
You substitute the value into the original expression
5xy²
=5(-2)(-3)² ⇔ substitution
=(-10)(9) ⇔ multiply 5 and -2, and simplify (-3)²
=-90
Hope this helps!! :)
Steps to solve:
5xy²; x = -2, y = -3
~Substitute
5(-2)(-3)²
~Solve the exponent to y
5(-2)(9)
~Multiply inside
5(-18)
~Multiply
-90 (Option 1)
Best of Luck!
2) You work in the tech field. Your boss has asked that you and your team design a new style phone with a 7" screen display. What are the dimensions of the phone if the aspect ratio is 16:9?
Answer:
dimensions of the phone are 7 inches x 12.44 inches
Step-by-step explanation:
The formula for the aspect ratio of a display device is a proportional relationship between the width and the height of the display.
That is;
Aspect ratio = height/width
Now, we are given;
Aspect ratio = 16:9 or 16/9
Width = 7" = 177.8 mm
Thus;
16/9 = height/177.8
Multiply both sides by 177.8 to give;
Height = (16 × 177.8)/9
Height = 316.089 mm
Converting 316.089 mm to inches gives us 12.44 inches.
Thus, dimensions of the phone are 7 inches x 12.44 inches
MATH ALG II! Need help quick! Will mark brainliest!
Answer: D
Step-by-step explanation:
because yes i solved it
True or false: equilateral triangles can be classified as acute right or obtuse
Answer:
False
Step-by-step explanation:
Equilateral triangles can only be acute.
Because a triangle can only have 180 degrees in angles, in an equilateral triangle all angles must be less than 90 degrees since they all measure the same (60 degrees)
I hope this helps!
-TheBusinessMan
Answer: False.
Step-by-step explanation:
All the angles of an equilateral triangle are 60° all less than 90° so only acute is correct.
Find the value of x ......
Please answer this question.....
Answer:
x=5/2
Step-by-step explanation:
(2/7)^2x *(2/7)=(2/7)^6
(2/7)^(2x+1)=(2/7)^6
Equate indices
2x+1=6
2x=6-1
2x=5
x=5/2
Answer:
When multiplying the same number, raised to different powers, you carry the number forward so (2/7)^6 is part of the answer.
Now, we have to calculate the exponent.
2x + 1 = 6
So, the answer is x = 2.5 which means
[2/7]^(2*2.5) x [2/7]^1 = [2/7]^6 which equals
[2/7]^5 x [2/7]^1 = [2/7]^6
Step-by-step explanation:
*HURRY AND ANSWER CORRECTLY PLS*
A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. What is the probability of a passenger choosing chips and a soda? a.)25% b.)33% c.) 50% d.) 17%
The probability of a passenger choosing chips and soda will be 25%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
A particular airline offers three free snack options to its passengers: cookies, chips, and crackers.
Along with the snack, passengers are offered two free drink options: soda or water.
Then the probability of a passenger choosing chips and soda will be
P = 0.5 x 0.5
P = 0.25
Then the probability in the percentage will be
P = 0.25 x 100
P = 25%
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ1
The sum of four consecutive integers is 78. What
are the 3rd and 4th integers?
Answer:
20, 21
Step-by-step explanation:
The number halfway between the middle two integers is the average of the four:
78/4 = 19.5
Then the four integers are 18, 19, 20, 21.
The 3rd and 4th integers are 20 and 21.
What is the variable in the expression: 3x + 4
Answer:
xStep-by-step explanation:
The variable(what we are to solve for) is x
Answer:
The variable in the expression is x
Step-by-step explanation:
A variable is the symbol used, which is usually a letter.
so in this case x is being used to represent something.
Water flows through a pipe at a rate of 9 gallons every 8 minutes. Express this rate of flow in fluid ounces per hour.
Answer:
[tex]Rate = 8640 fl\ oz/hour[/tex]
Step-by-step explanation:
Given
Rate: 9 gallon in every 8 minutes
Required
Express in fluid ounces per hour
Express rate as follows;
[tex]Rate = \frac{9\ gallon}{8\ minutes}[/tex]
1 gallon = 128 fluid ounces;
So:
[tex]Rate = \frac{9 * 128 fl\ oz}{8\ minutes}[/tex]
1 minutes = 1/60 hour;
So:
[tex]Rate = \frac{9 * 128 fl\ oz}{8 * \frac{1}{60} hour}[/tex]
[tex]Rate = \frac{1152 fl\ oz}{ \frac{8}{60} hour}[/tex]
[tex]Rate = 1152\ fl\ oz/ \frac{8}{60}\ hour[/tex]
[tex]Rate = 1152* \frac{60}{8}\ fl\ oz/hour[/tex]
[tex]Rate = \frac{1152*60}{8}\ fl\ oz/hour[/tex]
[tex]Rate = \frac{69120}{8}\ fl\ oz/hour[/tex]
[tex]Rate = 8640 fl\ oz/hour[/tex]
Determine the missing step for solving the quadratic equation by completing the square. 0 = –6x2 + 24x – 5
Step-by-step explanation:
Check the above photos....
write the divisor to complete the equation number 3
please answer I really need the answers now
Answer:6.3 ÷ 100 = 0.063
Find the value of y for which the value of 1.7y+37 is 14 less than the value of 9.3y–25 HELP QUICK
Answer:
y=10
Step-by-step explanation:
1.7y+37 is 14 less than the value of 9.3y–25
1.7y + 37 = 9.3y - 25 - 141.7y + 37 = 9.3y - 399.3y - 1.7y = 37 + 397.6y = 76y = 76/7.6y = 10Answer is 10
Answer:
y=10
Step-by-step explanation:
10 x 1.7 = 17
17 + 34 = 51
10 x 9.3 = 93
93 - 25 = 51
Same answer, so y = 10
find the equation of the line that is parallel to y=3x-2 and that contains the points ( 2,11)
Answer:
y = 3x+5
Step-by-step explanation:
[tex](2,11)=(x_1,y_1)\\y =3x-2\\m = 3\\\\Substitute \:values\:into \:point \:slope\:form\\y-y_1=m(x-x_1)\\y-11=3(x-2)\\y-11=3x-6\\y=3x-6+11\\y = 3x +5[/tex]
Write a polynomial that represents the area of the shaded region
Answer:
S = 1/2 . x^2 + 11/2 . x + 15
Step-by-step explanation:
- Let S = the area of the shaded region
- From the figure we see that S = 1/2 the area of the rectangle
- The area of the rectangle is (x+5)(x+6) = x^2 + 11x + 30
--> S = 1/2 (x^2 + 11x + 30)
--> S = 1/2 . x^2 + 11/2 . x + 15
-4 - (-9). please help
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 4 - ( - 9)}[/tex]
When there is a ( - ) in front of an expression in Parentheses, change the sign of each term
⇒[tex] \sf{ - 4 + 9}[/tex]
Calculate
⇒[tex] \sf{5}[/tex]
Hope I helped!
Best regards!!
Answer:
5
Step-by-step explanation:
- 4 - ( -9 )
Two negatives multiplied = positive
Therefore,
-4 + 9 = 5
Work out 72 cents as a percentage of 83 cents.
Answer:
86.74%
Step-by-step explanation:
72/83 = 0.8674
86.74%
perform the indicated operation. (4 - 8i)(2 – 5i)
Answer:
-32 - 36i.
Step-by-step explanation:
(4 - 8i)(2 – 5i)
= 4*2 + 4*-5i + 2*-8i + (-8i*-5i)
= 8 - 20i - 16i + 40i^2 Now i^2 = -1 so:
= 8 - 36i - 40
= -32 - 36i.
Hi there! :)
Answer:
[tex]\huge\boxed{-32 - 36i}[/tex]
(4 - 8i) (2 - 5i)
FOIL:
(4 · 2) + (4 · (-5i) + ((-8i) · 2) + ((-8i) · (-5i)) =
Simplify: (Remember, i² = -1:
8 + ( - 20i) + (-16i) + (40i²) =
8 - 20i - 16i - 40
Combine like terms:
-32 - 36i
Write and simplify an absolute value
expression to find the distance between -3
and 8.
-
=[ans]
Find a possible solution to the equation cos(x+2)= sin(3x)
Answer:
x = 22
Step-by-step explanation:
Let's say that a & b are complementary angles...
Then cos a = sin b
We can also write sin(3x) as ,
[tex] \sin(3x) = \cos(90 - 3x) [/tex]
Substituting the value of sin(3x) in the question ,
[tex] \cos(x + 2) = \cos(90 - 3x) [/tex]
Cancelling cos from both the sides gives us -
[tex]x + 2 = 90 - 3x\\ [/tex]
Solving this eqn , x = 22
-9/11 30 as a decimal please help
Answer: -0.81 .30
Step-by-step explanation:
Taila earns d dollars per week. How much does Taila earn in 10 weeks?
Answer:
[tex]10d[/tex] dollars
Step-by-step explanation:
[tex]d[/tex] is a variable, which is just a placeholder for an unknown value. Therefore, we can treat [tex]d[/tex] as if it's a number.
If you earn a certain amount of dollars per week, and you work for 10 weeks, then to find how much money you earn, you'd multiply the amount of weeks (10) by the dollars per week right?
Same logic applies for variables.
Since we have [tex]d[/tex] acting as a placeholder for the amount earned per week, then the total amount of money earned in 10 weeks is [tex]10\cdot d[/tex], which can just be represented as [tex]10d[/tex].
Hope this helped!
23. Eduardo wants to get a grade of 95 in his math
class. His grade will be the average of three test
scores. He got a 91 on the first test and a 89 on
the second test. Write an equation to represent
the situation. What score will he need on the
third test?
Answer:
equation: (91 + 89 + x):3 = 95
score needed: x = 105
Step-by-step explanation:
x - the third test score
average of three it's a sum of the three divided by 3:
(91 + 89 + x):3 = 95
×3 ×3
180 + x = 285
-180 - 180
x = 105
Verizon offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls, and Plan 2 charges $11 per month plus $0.04 per call. For how many monthly calls is Plan 1 more cost effective than Plan 2?
Answer:
Number of monthly calls = 475
Step-by-step explanation:
Given:
Plan 1 = $30 per month unlimited calls
Plan 2 = $11 + $0.04(per call)
Find:
Number of monthly calls, plan 1 better than plan 2
Computation:
Plan 1 (Cost) < Plan 2 (Cost)
30 < 11 + 0.04(x)
19 < 0.04(x)
475 < (x)
Number of monthly calls = 475