Answer:
1. 1 Burrito Platter = $58.50 , 1 Taco platter = $12.50
2. One pair of boots = $20 , One pair of shoes = $6
Step-by-step explanation:
1. Let the cost of one burrito platter be x and one taco platter be y.
4x + 2y = 259 --- Equation 1
4x + 4y = 284 --- Equation 2
Equations 2-1: 4x + 4y - 4x - 2y = 284 - 259
2y = 25
y = 25 ÷ 2
y = 12.50 (Taco platter)
Substitute y = 12.50 into Equation 1:
4x + 2y = 259
4x + 2(12.50) = 259
4x + 25 = 259
4x = 259 - 25
= 234
x = 234 ÷ 4
x = 58.50 (Burrito platter)
2. Let the cost of one pair of boots be x and one pair of shoes be y.
7x + 8y = 188 --- Equation 1
6x + 8y = 168 --- Equation 2
Equations 1-2: 7x + 8y - 6x - 8y = 188 - 168
x = 20 (Boots)
Substitute x = 20 into Equation 2:
6x + 8y = 168
6(20) + 8y = 168
120 + 8y = 168
8y = 168 - 120
= 48
y = 48 ÷ 8
y = 6 (Shoes)
12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).
[A] S, = 19531
[B] S, = 16536
[C] Sy = 15631
D] S, = 31256
[E] None of these
Understanding:
The sum of a geometric series is, [tex]a+ar+ar^2+ar^3+...[/tex], with a being the start point and r is the common ratio. We can also use the following formula to make life easier [tex]S_n=a\frac{1-r^n}{1-r}[/tex], a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.
Solution:
Our start point is 1, [tex]a=1[/tex],
The common ratio is 5, [tex]r=5[/tex],
And finally, the number of terms is 7, [tex]n=7[/tex].
[tex]S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531[/tex]
The answer is [A] 19531.
Someone Please explain how to do this. HURRY
PLEASE HELP ASAP
Negative 4/4 + 160% + 1/5
ENTER THE ANSWER AS AN EXACT DECIMAL OR SIMPLIFIED FRACTION
Answer:
0.8 or 8/10
Step-by-step explanation:
Answer:
4/5 or 0.8
Step-by-step explanation:
so, -4/4 and 1/5 are both already fractions.
160% as a decimal would be 1.6. 1.6 as a fraction would be 8/5.
-4/4 is just -1
-1+1/5+8/5
so, -5/5 +1/5 +8/5
-5/5 plus 9/5
4/5
the answer would be 4/5 or 0.8
Do these ratios form a proportion?
$42 per 33 customers
$28 per 22 customers
yes
no
Answer:
yes
Step-by-step explanation:
[tex]\frac{42}{33}[/tex] = [tex]\frac{14}{11}[/tex] and [tex]\frac{28}{22}[/tex] = [tex]\frac{14}{11}[/tex]
Both reduce to [tex]\frac{14}{11}[/tex] and form a proportion
HELP MEEEE!!!!! PLZZZZZZZZ
Answer:
9
Step-by-step explanation:
using pemdas, you add the () first which gives you 3. then going in order you divide 6 by 2 which gives you 3. then your left with 3 times 3 which is 9
Answer:
1
Step-by-step explanation:
When solving an expression with different operations, we evaluate:
1. Brackets (This has to take the top priority in any expression with brackets, do the divisions and multiplications in the brackets first before the additions and subtractions if any)
2. Divisions and Multiplication (Do from left to right)
3. Addition and Subtraction (Do from left to right)
6 ÷ 2(1+2) = 6 ÷ 2(3)
= 6 ÷ 6
= 1
what is the domain and range of this linear equation 6x+12y=48
Answer:
(-infinity, infinity)
(-infinity, infinity) ... for both graph below
Step-by-step explanation:
kyle has $1.60 in change in his pocket. He has the same number of quarters as nickels. He has 4 more dimes than quarters. How many of each coin does he have?
In a survey of 1,900 people who owned a certain type of car, 570 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car? nothing% of the people surveyed were satisfied with the car. (Type a whole number.)
Answer:
The percentage of people who are satisfied with this car model is 30%.
Step-by-step explanation:
Given that the survey interviewed 1,900 people who own a certain type of car, and of them 570 said that they would buy the same car model again, to determine the percentage of people who are satisfied with that model it is necessary to perform the following calculation :
1,900 = 100
570 = X
((570 x 100) / 1,900) = X
57,000 / 1,900 = X
30 = X
Therefore, the percentage of people who are satisfied with this car model is 30%.
Evaluate the expression x + 5 when x= 3, y=6 and z=12. A. 11 B. 17 C. 1 D. 8
Answer:
D, 8
Step-by-step explanation:
x=3
x + 5
(3) + 5
=8
Suppose you have a bag containing 2 black marbles and 3 red marbles. You reach into the bag, select a marble, see what color it is and replace it in the bag. Then you repeat this process a second time. What is the probability of picking a red marble both times?
Answer:
[tex]\dfrac{9}{25}[/tex]
Step-by-step explanation:
Given that the bag contains black and red marbles.
Number of black marbles in the bag = 2
Number of red marbles in the bag = 3
Total number of marbles in the bag = Number of black marbles + Number of red marbles = 2 + 3 = 5
Let us have a look at the formula for probability of an event E, which can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(\text{First red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5 }[/tex]
Now, the marble chosen at first is replaced.
Therefore, the count remains the same.
[tex]P(\text{Second red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5}[/tex]
Now, the required probability can be found as:
[tex]P(\text{First red marble})\times P(\text{Second red marble}) = \dfrac{3}{5}\times \dfrac{3}{5} = \bold{\dfrac{9}{25} }[/tex]
can you help me please
Answer:
zero slope
Step-by-step explanation:
its not goin up or down so there is no slope:)
also look below :)
Martha and 4 friends attended a volleyball game. Admission was $3.50 per person. They all got snacks that were $2.50 each and a drink that was $1.50. On the way home they stopped at Starbucks for a frappucino that cost $4.75 per person. Martha paid for everything. How much did she pay?
Answer:
$61.25
Step-by-step explanation:
Given that:
There are 5 persons (Martha and 4 other friends)
Fee for admission for each person = $3.50
Price for snacks for each person = $2.50
Price for drinks for each person = $1.50
Price for frappucino for each person = $4.75
All the money was paid by Martha.
To find:
Total money paid by Martha.
Solution:
First of all, let us find the total cost for one person.
Total cost for one person = $3.50 + $2.50 + $1.50 + $4.75 = $12.25
There are a total of 5 persons.
Therefore total cost = $12.25 [tex]\times[/tex] 5 = $61.25
Total money paid by Marth = $61.25
Which reason is missing in step 2?
CPCTC
definition of supplementary angles
triangle parts relationship theorem
O triangle angle sum theorem
ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .
What are Similar Triangles?Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
Given,
m∠H = 30°
m∠J=50°
m∠P=50°
m∠N=100°
In triangle ΔHKJ
m∠H = 30°
m∠J=50°
m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)
m∠K= 100°
In ΔHKJ and ΔLNP,
m∠J = m∠P= 50°
m∠K= m∠N= 100°
According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.
Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.
Hence, ΔHKJ ~ ΔLNP
learn more about similar triangle
https://brainly.com/question/25882965
Ricardo bought a bicycle that was discounted 20% off the original price. If the original price was $110.00, what was the price of the bicycle after the discount was applied?
Answer:
88$
Step-by-step explanation:
What is the perimeter of the triangle formed by (-3,1),(-3,5), and (4,1)
Answer:
15
Step-by-step explanation:
Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest
A bookshop has an offer. "Buy one book and get one free!" Ria gets 8 books from the shop with that offer. The normal price of each book is £6.99. How much does Ria spend?
Answer: £27.96
Step-by-step explanation:
Since the bookshop has an offer. "Buy one book and get one free!" and we are told that Ria gets 8 books from the shop with that offer. This simply means that Ria bought 4 books and also got 4 free.
Since the normal price of each book is £6.99 and Ria bought 4 books, the amount Ria spend will be:
=£6.99 × 4
= £27.96
what is the answer
Answer:
a=7 i think
Step-by-step explanation:
A submarine hovers at 66 and two-thirds yards below sea level. If it ascends 24 and StartFraction 1 over 8 EndFraction yards and then descends 78 and three-fourths yards, what is the submarine's new position, in yards, with respect to sea level?
Answer:
- 121 7/24
Step-by-step explanation:
Initial Position = 66 2/3 below sea level
Ascent = 24 1/8
Descent = 78 3/4
New position of submarine :
Since initial. Position is below sea level, we finite with a negative sign :
-66 2/3 = - 200 /3
Ascent is positive ; 24 1/8 = 193 / 8
-200 /3 + 193 / 8
(-1600 + 579) / 24
= - 1021 / 24
Descent = 78 3/4 (negative) downward
78 3/4 = - 315/ 4
-1021 / 24 - 315/4
(-1021 - 1890) / 24
= - 2911 / 24
= - 121 7/24
121 7/24 below sea level
WILL GIVE 100 POINTS AND BRAINLIEST TO FIRST TO ANSWER CORRECT
RQ = TQ
1 2
RS _____ ST
Choose the relationship symbol to make a true statement.
Answer:
>
Step-by-step explanation:
In the lesson, we learned that the side opposite the larger angle was larger. In this case; angle 1 is larger than angle 2. This makes line segment RS > ST. Hope this helps!
Also I did this question myself and this was correct. :D.
2) Evaluate 9 X 364 – 9 X 125 – 9 X 39 without the use of your calculator
Show your working.
PLEASE HELP .WILL MARK BRAINLIEST
Answer:
9*364 - 9*125 - 9*39 = 1,800
Step-by-step explanation:
Mental Calculation
If we detect known patterns in the calculations, we could easily give their results without the use of calculators.
We are given the expression to evaluate:
9*364 - 9*125 - 9*39
The first thing to note is the 9 is a common factor of all terms, thus we take it out:
9*(364 - 125 - 39)
The negative numbers can be easily added
125
+ 39
------------
164
Now our expression is much easier:
9*(364 - 164)
The subtraction of 364-164 is 200, thus the result of the operations is:
9*200. We only need to recall 9*2=18 and add two zeros to get 1,800, thus:
9*364 - 9*125 - 9*39 = 1,800
Dahlia noticed that her tomato plant grew new leaves at a steady rate, after the plant sprouted. She recorded the number of leaves on her plant on various days (see table) how many leaves should she expect on the 32nd day
Answer:
D; 85 leaves
Step-by-step explanation:
From what we can see, each 4 days there is a growth of an additional 9 leaves
So for the 20th day, we can see 58
The difference between the 20th and 32nd day is 12
The number of 4s we can see here is 12/4 = 3
For each 4, we can count extra 9 leaves
So for the 12, the number of leaves we can count is 3 * 9 = 27
we proceed to add this to 58
That will yield 58 + 27 = 85
It's c Bye bye have a amazing day
Solve for f.
2f =
-38-22
4
Pls help doing a test?
Answer:
f=2
Step-by-step explanation:
hope this helps you
Do whatever u can no messing round plz
Answer:
1a. 5x+14
1b. 5x+14 < 65
1c. x=51/5
Step-by-step explanation:
Find the apothem of a regular pentagon with a side length of 10
Answer:
GGGG
Step-by-step explanation:
GGGGG
Answer:
20
Step-by-step explanation:
13 points!!
The table below shows the heights of five different people.
table shown below
Jackson has a height of 55 inches. Which is true if Jackson is added to the data set?
Answer:
The Mean Decreases.
Step-by-step explanation:
Answer:
the answer is Cindy and i dont understand what your trying to say but if your saying witch one is closer to Jackson then yeah Cindy
4. Solve each equation for x. (8 points: 2 points each)
a.) 3x-12y=27
b.) 6x-7y=-2
c.) 4x-k=17
d.) kx+c=9
Answer:
a. x = 9 + 4y
b. x = (7y-2)/6
c. x = (17 + k)/4
d. x = (9-c)/k
Step-by-step explanation:
In each of the equations, we want to make x the formula subject
a) 3x-12y = 27
3x = 27 + 12y
3x = 3(9 + 4y)
x = 9 + 4y
b) 6x-7y = -2
6x = 7y-2
x = (7y-2)/6
c) 4x - k = 17
4x = 17 + k
x = (17 + k)/4
d) kx + c = 9
kx = 9-c
x = (9-c)/k
You randomly sample 8 graduate students from an NYU event. 5 of the 8 exhibit higher IQ’s than the median of the general population. The probability of obtaining this result by chance (if those graduate students do not differ in IQ from the general population) is
Answer:
The probability that five of the eight students exhibit an higher IQ than the median of the general population is 0.21875
Step-by-step explanation:
The given parameters are;
The number of students in the sample, n = 8
The number of the students, x, that exhibit higher IQ's than the median = 5
The probability of obtaining the given result by chance is given as follows;
P(x) = n!/((n - x)!x!) × pˣ × qⁿ⁻ˣ
The probability that a student exhibit higher IQ's than the median = 0.5 = p
Similarly, we have, the probability that a student exhibit lower IQ's than the median = 0.5 = q
Substituting the known values, gives;
P(5) = (8!/((8 - 5)!×5!)) × 0.5^(5) × 0.5^(8 - 5) = 0.21875
Therefor, the probability that 5 of the 8 students exhibit an higher IQ than the median of the general population, P(5) = 0.21875.
What is an advantage of portrait orientation for portrait photography (photos of people)?
The composition shows more context.
The composition places attention on the foreground.
The composition minimizes the background.
All of the above
Answer:
all of the above
Step-by-step explanation:
The point of portrait orientation is to make it so the picture focuses on the person. In order to do this you need to minimize the background, place attention on the foreground, and show more context
Answer:
all of the above
Step-by-step explanation:
Agustín fabrica artículos de cuero y los vende con un incremento del 8% de su costo. Si en su última campaña utilizó un cuero de mayor calidad y aplicó un incremento adicional de 12%, ¿cuál fue el aumento único equivalente del precio?
Answer:
El aumento del precio de costo único equivalente es un aumento del 20,96% en el precio de costo
Step-by-step explanation:
Los parámetros dados son;
El porcentaje de aumento en el precio de costo que Augustin vende artículos de cuero = 8%
El aumento adicional de Augustin se aplica cuando usó cuero de mayor calidad = 12%
Sea x el precio de costo
Tenemos, el primer precio de venta = 1.08 × x
El precio de venta del cuero de alta calidad = 12% adicional al precio de venta anterior
∴ El precio de venta del cuero de alta calidad = 1,12 × 1,08 × x = 1,2096 × x
Por lo tanto, el precio de venta del cuero de alta calidad = (1.2096 × 100)% de x = 120.96% de x, lo que da;
El aumento del precio de costo único equivalente = (120,96% - 100%) aumento en x = 20,96%
∴ El aumento del precio de costo único equivalente = 20,96% de aumento en el precio de costo.
The relay race is just over one mile long, approximately yards. If Jack and 4 other people each run a leg of the relay, how many yards will each runner run? Justify your answer using an estimation strategy.
Answer: By dividing 1760 by the jack and his friends, you get 352 yards per person
Step-by-step explanation:
hope it helps please consider giving brainliest
Answer:
im answering so you can give other person brainliest
Step-by-step explanation:
