Consider the steps to solve the equation.
2
5
(
1
2
y + 20 ) −
4
5
=
9
20
(2y − 1)
Distribute:
1
5
y + 8 −
4
5
=
9
10
y −
9
20
What is the next step after using the distributive property?
A. Use the multiplication property of equality to isolate the variable term on one side of the equation.
B. Use the multiplication property of equality to isolate the constant on one side of the equation.
C. Combine the like terms on the right side of the equation.
D. Combine the like terms on the left side of the equation.
Answer:
The answer is D
Step-by-step explanation:
D
Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount. The first customer paid $12 for 14 postcards and 5 large envelopes. The second customer paid $24.80 for 10 postcards and 15 envelopes. What was the cost in dollars of each large envelope?
A-$1.42
B- $1.15
C- $0.35
D- $0.63
The cost in dollars of each large envelope is $1.42.
Two equations can be derived from this question:
14p + 5l = 12 equation 1
10p + 15l = 24.80 equation 2
Where:
p = postcards
l = large envelopes
To determine the cost of large envelopes, multiply equation 1 by 10 and equation 2 by 14.
140p + 50l = 120 equation 3
140p + 210 = 347.20 equation 4
Subtract equation 3 from 4
227.20 = 160l
Divide both sides of the equation by 160
l = 227.20 / 160
l = $1.42
To learn more, please check: brainly.com/question/23589883
How to divide 4 divided by 2/3
According to your question, (4 divided by 2/3):-
[tex] \frac{4}{ \frac{2}{3} } [/tex]
By reciprocal, it. becomes:
[tex]4 \times \frac{3}{2} [/tex]
As we know that 2×2 is 4, cancel 4. Then we get:-
[tex]2 \times 3[/tex]
[tex]→6[/tex]
Therefore, the answer is 6
plz help I can't get it
Answer:
A) 0.25/0.6 B) 40:96 E) 1/3 / 0.8
Step-by-step explanation:
A)
0.25/0.6 = 1/4÷3/5
=5/12
B)
40:96 = 5:12 You can divide 40 and 96 both by 8 to get 5:12
=5/12
E)
1/3 / 0.8 = 1/3 ÷ 4/5
=5/12
Hope this helps :)
If a/(a+b) = 37/40 Find a/(a-b)
a/(a+b) = 37/40
(a+b)/a = 40/37
a/a + b/a = 40/37
1 + b/a = 40/37
b/a = 40/37 - 1
= 3/37
1 - b/a = 34/37
(a-b)/a = 34/37
a/(a-b) = 37/34
Good Luck
I need help on this question please factorise into brackets then solve for x
Answer:
x = 7
Step-by-step explanation:
The difference between the length and width is 3 , then length = x - 3
area (A) of rectangle = length × width
A = x(x - 3) = 28 , distribute parenthesis
x² - 3x = 28 ( subtract 28 from both sides )
x² - 3x - 28 = 0 ← in standard form
(x - 7)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 4 = 0 ⇒ x = - 4
However, x > 0 , then x = 7
On a map, the scale is 1 inch = 40 miles. What is the actual distance for 3.25 inches shown on the map?
Answer:
130 Miles
Step-by-step explanation:
Let represent the number of typographical errors made per page typed by a receptionist during a particular day at the office. The following table lists the probability distribution of .
= 0 1 *** 4 5 ( = ) * ** 0.40 0.13 0.02
Assuming that * = 2 (**) and E(X) = 12.77
(a) Find the values of ‘*’, ‘**’, and ‘***’.
(b) Determine P(1 ≤ < 4).
Using the principle of expected value and discrete probability distribution, the missing values are :
* = 0.30** = 0.15*** = 30P(1 ≤ Y ≤ 4) = 0.28The Expected value, E(X) is defined thus :
E(X) = Σ[(X) × (P(X)]The cummulative sum of the probability is 1 :
(* + ** + 0.40 + 0.13 + 0.02) = 1 - - - (1)* = 2(**)Hence, we have ;
2** + ** + 0.40 + 0.13 + 0.02 = 1
3** + 0.55 = 1
3** = 1 - 0.55
3** = 0.45
** = 0.45 / 3
** = 0.15
Hence,
* = 2(0.15)
* = 0.30
To find *** :
E(X) = (0 × 0.30) + (1 × 0.15) + (*** × 0.40) + (4 × 0.13) + (5 × 0.02)
12.77 = 0 + 0.15 + 0.40*** + 0.52 + 0.10
12.77 = 0.77 + 0.40***
12.77 - 0.77 = 0.40***
12.00 = 0.40***
*** = 12.00/0.40
*** = 30
B.)
P(1 ≤ Y ≤ 4) = P(y = 1) + P(y = 4)
P(1 ≤ Y ≤ 4) = 0.15 + 0.13 = 0.28
Learn more : https://brainly.com/question/25716562
What is the length of the unknown leg in the right triangle?
Answer:
a is 20 cm long
Step-by-step explanation:
I used a triangle solver to get that length, sorry I can't actually prove it step by step
hope this helps!
Jackie works as a server at a local restaurant. She makes $8 per hour. She worked 34 hours last week. She made $250 in tips. What was her gross pay?
A model rocket is launched with an initial upward velocity of 125/fts. The rocket's height h (in feet) after t seconds is given by the following.
h=125t- -16t^2
Answer:
H = V0 t + 1/2 g t^2 is the equation in question with V0 and g in different directions, they have different signs
Sales commissions: A company studied two programs for compensating its sales staff. Nine salespeople participated in the study. In program , salespeople were paid a higher salary, plus a small commission for each item they sold. In program , they were paid a lower salary with a larger commission. Following are the amounts sold, in thousands of dollars, for each salesperson on each program
Salesperson
Program 1 2 3 4 5 6 7 8 9
A 55 22 34 22 25 61 55 36 68
B 53 24 36 28 31 61 58 38 72
Required:
Can you conclude that the mean sales differ between the two programs? Use the α = 0.05 level of significance
Using the t-distribution, it is found that since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.
At the null hypothesis, it is tested if the mean sales do not differ between the two programs, that is, the subtraction of the means is 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if they differ, that is:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
The mean and the standard errors for each sample are:
[tex]\mu_1 = 42, s_1 = 5.9675[/tex]
[tex]\mu_2 = 44.56, s_2 = 5.6177[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_2 - \mu_1 = 44.56 - 42 = 2.56[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{5.9675^2 + 5.6177^2} = 8.1957[/tex]
The test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]t = \frac{2.56 - 0}{8.1957}[/tex]
[tex]t = 0.31[/tex]
The critical value for a two-tailed test, as we are testing if the mean is different of a value, with 9 + 9 - 2 = 16 df and a significance level of 0.05 is [tex]|t^{\ast}| = 2.12[/tex]
Since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.
A similar problem is given at https://brainly.com/question/13873630
In which quadrant would you find the graph of (-5, -6)?
O AT
O B) ||
O C) IUI
O D) IV
Answer:
Third quadrant
Step-by-step explanation:
To count quadrants, you do it counter-clockwise, so, since the point is in the (negative, negative) quadrant, it is the third one
If a 32 ft. tall tree casts an 8 ft. shadow , how long of a shadow dc 6 ft. tall man have?
Answer:
1.5ft
Step-by-step explanation:
32/8=4
32/4=8
6/4=1.5
Choose the best answer.
The area of the face of a quarter is about
O A. 63 cm
OB. 63 m2
O C. 63 mm2
O D. 63 dm?
Answer:
One face of a US quarter has an area of approximately 461.21 square millimeters.
Step-by-step explanation:
right answers only plz and thank you
Answer:
letter A
Step-by-step explanation:
3x=0
x=0
x-2=0
x=2
2x+7=0
2x=-7
x=-7/2
NEED HELP PLS
Find the equation of the exponential function represented by the table below:
Answer:
y = 5(4ˣ)
Step-by-step explanation:
Answer:
y = 5 * 4^x
Step-by-step explanation:
exponential functions are of the form
y = ab^x
to find a use point (0, 5)
5 = ab^0
5 = a * 1
a = 5
To find b use any other point
using (1, 20)
20 = 5(b^1)
4 = b^1
b = 4
The equation is
y = 5 * 4^x
HELPPPP!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
125/29.35=4.409171076
4.409171076 is rounded to 4.41
What number should be placed in the box to help complete the division calculation? (1 point) Long division setup showing an incomplete calculation. 19 is in the divisor, 8216 is in the dividend, and 4 hundreds and 3 tens is written in the quotient. 7600 is subtracted from 8216 to give 616. An unknown value represented by a box is being subtracted from 616.
Answer:
The unknown value is being subtracted from 702 is 650
Step-by-step explanation:
Long division setup showing an incomplete calculation
13 is in the divisor
3302 is in the dividend
2 hundreds and 5 tens is written in the quotient
2600 is subtracted from 3302 to give 702
An unknown value represented by a box is being subtracted from 702
We need to find this number
Lets write the steps above
∵ The dividend = 3302
∵ The divisor = 13
- 2 hundreds means 200 and 5 tens means 50
∵ The quotient = 200 + 50 + x
∵ Dividend = divisor × quotient
∴ (13 × 200) + (13 × 50) + (13 × x) = 3302
∵ 13 × 200 = 2600
- Subtract 2600 from the dividend
∴ 3302 - 2600 = 702
∵ 13 × 50 = 650
∴ 702 - 650 = 52 ⇒ 650 is the unknown value
∵ 13 × x = 13x
∵ 52 - 13x = 0
- Add 13 x to both sides
∴ 52 = 13x
- Divide both sides by 13
∴ x = 4
∴ 3302 ÷ 13 = 200 + 50 + 4
∴ 3302 ÷ 13 = 254
∴ From the steps above the missing number subtracted from
702 is 650
Find the lines of symmetry. Select all that apply. Thank you!
Answer:
l and n
Step-by-step explanation:
divide £100 into 1:4
Answer: the answer is 25
Step-by-step explanation:
First do 100/1
Then do 1 x 100/1 x 4
so then divide 100 by 4 =
25/1 =
25
Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $85 and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ?
Answer:
Carla's was the better deal with $68.00
Diane's: $85.00
Step-by-step explanation:
0.2 x 85 = 17
85 - 17 = 68$
Musa had 3/ 5 ton of grain for all the animals on his large farm. He used 1 /20 ton each day to feed all his animals. How many days was it until Musa needed more grain?
Answer:
12 days
Step-by-step explanation:
'd' = number of days
1/20d ≤ 3/5
multiply each side by 20 to get:
d ≤ 60/5 or d ≤ 12
Please help me with these questions. I’m genuinely confused.
Answer:
16. 1 4/5
17. 2 2/3
18. 4/11
19. 4 1/2
20. 4/7
21. 1/2
22. 1 2/5
23. 2 1/2
24. 4 2/3
Step-by-step explanation:
1. subtract whole numbers first
2. subtract fractions next (simplify if you can)
3. subtract fractions and whole numbers
Use set builder notation to write the set E= {1, 3, 9, 27}
PLEASE NO SPAMMING I NEED AN ANSWER NOW
Answer:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Step-by-step explanation:
Given set:
E = {1, 3, 9, 27}We observe that:
1 = 3⁰, 3 = 3¹, 9 = 3², 27 = 3³Each term can be shown as 3ⁿ, where n is natural number between 0 and 3.
Set builder notation:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Here let's observe
1=3^03=3^19=3^227=3^3So set builder form:-
[tex]\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}[/tex]
Help help help pelesss please
Answer:
its 1
Step-by-step explanation:
it literly says it on the grid and its really simple
Simplify the expression.
6(12 – 3) + 4 + (3 × 2)
a.64
b.96
c.144
d.208
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]6(12-3)+4+(3)(2)[/tex]
[tex]=(6)(9)+4+(3)(2)[/tex]
[tex]=54+4+(3)(2)[/tex]
[tex]=58+(3)(2)[/tex]
[tex]=58+6[/tex]
[tex]= 64[/tex]
Answer:64.
Hopefully, this helps you!!
[tex]Sokka[/tex]
0.98x0.23 what is 0.98 times 0.23?
Answer:
0.2254
Step-by-step explanation:
multiply using long multuplication
What is 2346 to the power of 3?
Answer:
12911717736
Step-by-step explanation:
"236" to the power of 3 is the same thing as multiply 236 by itself 3 times.
236 · 236 · 236 55696 · 236 12911717736Therefore, the answer is 12911717736.
Answer:
12911717736
Step-by-step explanation:
You're basically multiplying 2346 by itself 3 times which is why you get 12911717736
Pls help asap the best I can do is 50 points
Answer the ones where the zeros are those are the one that I did bad or left blank
Step-by-step explanation:
8.a.
a function is something that looks like
y = ax + b or similar.
it describes the way to calculate the result for whatever input value you can come up with.
so,
C = 12×d + 8
you could also say
C(d) = 12×d + 8
as, when you rent, you have to pay these $8 in any case, no matter how long you stay, and you need to pay $12 per day you stay.
funny thing is : you understood this perfectly well when doing b.
c.
the constant rate of change is always the factor of the input variable. here : 12
it is the ratio of (y change) / (x change)
or here (C change / d change).
it indicates that for any increase of d by 1 (staying one day longer) the charges C increase by 12.
9.a.
remember, what we just said about the rate of change ?
it is (result change) / (input change).
between 2010 and 2015
the input changed by +5 (from 2010 to 2015).
the result changed by +6.25 (from 37 to 43.25).
the rate of change is therefore
6.25/5 = 1.25 = 1 1/4 = 5/4
the function is therefore
population in millions = (years since 2010)×5/4 + 37
p = y×5/4 + 37
b.
now we want to find the number of years (y) so that the result of that equation is 50.
50 = y×5/4 + 37
13 = y×5/4
52 = 5y
y = 52/5 = 10.4
so, this will be during the 11th year after 2010 = 2021.
10.
be careful and concentrate.
you see that the sequence goes up 20, when n goes up 5 (and not just 1) ? there was your initial mistake.
a.
again, remember the change rate : it is result change / input change.
so, we have here 20/5 = 4.
so,
C(n) = 4×n + 50
b.
n = 12
C(12) = 4×12 + 50 = 98
c.
now we have C(n), and want to find for which n this is true.
C(n) = 78
78 = 4×n + 50
28 = 4×n
n = 7
after 7 visits the costs are 78.
there are the basic costs of 50 (for n = 0 or 0 visits) and then extra 4 for every visit.
d.
the x-axis is for the number of visits, the y-axis for the costs.
so, the line starts at the point (0, 50), and then passes through the points of the original table (5, 70), (10, 90), (15, 110). and if you want you can calculate the points for higher x (or number of visits).