The solution is (1,2)
Step-by-step explanation:
7x + 10y = 27
x - 10y = -19 +--------------------
8x = 8
Divide by 8 on both sides
x = 1
To find y substitute any of the equations to 1
7(1) + 10y = 27
7 + 10y = 27
Substract 7 from both sides
10y = 20
Divide by 10
y = 2
The formula to convert Celsius to Fahrenheit is F= 90+32. Convert 87°F to
Celsius. Round to the nearest degree.
O A. 55°C
O B. 31°C
O c. 16°C
O D. 99°C
SUBMIT
Gabriella makes a profit of $.80 for every cup of coffee that she sells at her coffee shop she wanted to make a profit of at least $75 today on coffee if she’s sold 90 cups today which statement is correct
Answer:
Gabriela needs to sell 4 more cups of coffee to make a profit of $75.
She sells 90 cups and makes $0.80 profit on each cup. That equals $72 profit.
90 x $0.80= $72
She wants to make $75 profit.
$75 - $72 = $3 profit short for the day
$3/$0.80 = 3.75 cups of coffee short so to make her profit she must sell a total of 94 cups of coffee for the day or an additional 4 cups.
Step-by-step explanation:
Why is (-5) to the 28th power positive but without parentheses it is negative?
Answer:= (10+5^2)*((5*-2)+9-3^3)/2
= (10+25)*((5*-2)+9-3^3)/2
= (35)*((5*-2)+9-3^3)/2
= 35*((5*-2)+9-3^3)/2
= 35*((-10)+9-3^3)/2
= 35*(-10+9-3^3)/2
= 35*(-10+9-27)/2
= 35*(-1-27)/2
= 35*(-28)/2
= 35*-28/2
= -980/2
= -490
Step-by-step explanation:
10 gallons equals how many liters
37.8541
roll another one
A hand-held digital music player was marked down by 1/4 of the original price. If the sales price is $128, what is the original price? Show work and explain
What is 4 times of 2 1/2
Answer:
10
Step-by-step explanation:
Change the fraction to a decimal:
2 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5
Multiply:
4 x 2.5 = 10
10 is your answer.
~
Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through (-8,0) and (0,8) Type the point-slope form of the equation of the line.
Answer:
Step-by-step explanation:
(8 - 0)/(0 + 8)= 8/8= 1
y - 0 = x + 8
y = x + 8
please asap help im desperate.......................
Answer:
D
Step-by-step explanation:
What effect does Mathilde's losing the necklace have on the plot in "The Necklace"? It creates doubt in the mind of Madame Forestier' as to Mathidle's honesty. It helps extinguish Mathilde's longing for a life of luxury and wealth. It leads Mathilde and her husband into a life of debt, hard work, and poverty.
Write an equation based on the word problem below and solve it. *
You have $150 in your savings
account. You earn money to
walk your neighbor's dog every
day after school. If it takes you
8 weeks to have $246 in your
account, how much money, m,
do you earn per week?
m = $13 per week
m = $12 per week
Om = $11 per week
O m = $10 per week
Answer:
m = $12 per week
Step-by-step explanation:
The equation would be 8m + $150 = $246. To find out how much money you earn a week, you need to solve for m.
First, subtract $150 from both sides of the equation. Doing so will leave you with an equation of 8m = $96.
Next, divide both sides by 8. This will leave you with m = $12, which is your final answer of how much money you earn a week.
Solve for k.
k/4 + 8 = 12
Answer:
k = 16
Step-by-step explanation:
To solve this we must isolate k. Let's first simplify this equation by subtracting 8 from both sides:
k/4 = 4
Next, remove the fraction by multiplying both sides by 4:
k = 16
A club is choosing 2 members to serve on a committee. The club has
nominated 3 women and 3 men. Based on chance alone, what is the
probability no women are chosen to be on the committee?
Answer: The probability that no women are chosen to be in the committee is 2/5 or 0.40.
Step-by-step explanation:
We have two positions, and we have 6 options for those positions, 3 are men, and 3 are women.
If we want to see the probability where no women are chosen, then this means that in the first selection a man is chosen.
If all the 6 nominees have the same probability of being chosen, then the probability that in the first selection a man is chosen is equal to the number of men divided the total number of nominees, this is:
p1 = 3/6 = 1/2.
Now the same happens for the second selection, but now we have 5 total nominees and 2 are men, so the probability now is:
p2 = 2/5
And the joint probability will be the product of the individual probabilities, then we have:
P = p1*p2 = (1/2)*(2/5) = 2/5.
The probability that no women are chosen to be in the committee is 2/5 or 0.40.
The probability that no woman is chosen to be on the committee is 0.40.
GivenA club is choosing 2 members to serve on a committee.
The club has nominated 3 women and 3 men.
The number of ways to select two persons from 6 will be:
[tex]\rm = ^6C_2[/tex]
Therefore,
The probability that no woman is chosen to be on the committee is;
[tex]= \dfrac{1}{2} \times \dfrac{2}{5}\\\\= \dfrac{1}{5}\\\\=0.40[/tex]
Hence, the probability that no woman is chosen to be on the committee is 0.40.
To know more about Probability click the link given below.
https://brainly.com/question/795909
The sales tax on a used car priced at $4600 is $409.40. What is the sales tax rate?
Answer:
8.9%
Step-by-step explanation:
sales tax rate (in percentage) = 409.40÷4600*100=8.9%
Una planta procesadora de alimentos desea producir 1000 litros de salsa de tomate con 30%de azúcar. Si tienen una salsa con 25% de azúcar y otra con 45%, ¿qué cantidad de cada clase de salsa deben emplear?
Answer: Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.
Step-by-step explanation:
Lo que tiene la planta es:
Una salsa con 25% de azúcar
Una salsa con 45% de azúcar.
Vamos a definir dos cantidades, A y B.
A es la cantidad de salsa con 25% de azúcar usada, y B es la cantidad de salsa con 45% de azúcar usada.
Como queremos producir 1000 litros de salsa, tenemos la ecuación:
A + B = 1000 L
Ahora, queremos que el producto final tenga 30% de azúcar.
El porcentaje de azúcar se define como:
(Cantidad de azúcar/Cantidad total de salsa)*100%.
Ahora, si la cantidad A tiene 25% de azúcar, entonces la cantidad total de azúcar es:
0.25*A
Y la cantidad B tiene 45% de azúcar, entonces acá la cantidad es:
0.45*B
Entonces cuando los mezclamos, la cantidad total de azúcar es:
(0.25*A + 0.45*B)
Y usando la formula de arriba, tenemos que:
100%*(0.25*A + 0.45*B)/(A + B) = 30%
Ahora divido ambos lados por 100%.
(0.25*A + 0.45*B)/(A + B) = 0.30
Entonces tenemos un sistema de dos ecuaciones:
A + B = 1000 L
(0.25*A + 0.45*B)/(A + B) = 0.30
El primer paso es aislar una de las variables en una de las ecuaciones, en este caso voy a aislar A en la primer ecuación:
A = 1000L - B
Ahora puedo reemplazar esto en la segunda ecuación:
(0.25(1000L - B) + 0.45*B)/(1000L - B + B) = 0.30
Y ahora lo resolvemos para B.
(250 L - 0.25*B + 0.45*B)/1000L = 0.30
250L + 0.20*B = 0.35*1000L = 300L
0.20*B = 300L - 250L = 50L
B = 50L/0.2 = 250L
Entonces:
A = 1000L - 250L = 750L.
Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.
Someone please help me.
Answer:
1 is good number 2 is wrong number 3 is good
Step-by-step explanation:
your welcome im juss writting more so it wont say issa short question!!
7. George went to the general store to buy provisions. He bought food items
worth $35. He had a $25 gift card for the store and he also paid $5 in cash.
How much debt does George have with the store?
I need it in ten minutes plz help
Answer:
He needs to pay $5
Step-by-step explanation:
$25 + $5 = $30 < how much he paid
$35 - $30 = $5 < how much more he needs to pay
Answer:
21
Step-by-step explanation:
21 yeet
brainlest plz is 21 if you dont brainlest you are gay
Calculate the regression coefficients in the above table by hand, using the statistics below
100 POINTS!! ASAP - Please SHOW WORK!!
Answer:
h = 435.779 m
Step-by-step explanation:
Step 1: Define variables
∅ = 5°
Hypotenuse (the road) = 5000 meters
We need to find height (or the vertical leg on the triangle) = h
Step 2: Use trig
sin∅ = opposite over hypotenuse
sin5° = h/5000
Step 3: Evaluate
5000sin5° = h
h = 435.779 m
Answer:
the increase of altitude is 435.8 m
Step-by-step explanation:
see attached
inclined road at 5°
after driving 5000 along the end road.
find:
increase of altitude (h)
let Ф = 5°
road = hypothenuse
using the formula Sin Ф = h ÷ hypothenuse
Sin(5) = h
5000
h = Sin (5) x 5000
h = 435.8 m
therefore,
the increase of altitude is 435.8 m
9. When you get to the island, you decide to take a kayak tour to a nearby reef. A kayak is a small boat you row with a paddle. Find the speed for the kayak. Use one of these facts to help. The steamboat's speed is 4 less than 8 times the speed of the kayak. The tall ship's speed is 1 more than 3 times the speed of the kayak. The yacht's speed is 5 less than 15 times the speed of the kayak. Write and solve an equation for the speed of the kayak. Show your work. (5 points: 2 points for writing a correct equation, 3 points for the solution)
10. The length of your trip to the island is 40 nautical miles less than 20 times the distance to the reef. It's 2:00 p.m. now, and your boat leaves the island at 7:30 p.m. Will you be able to kayak to the reef and back by then? If so, how long will you have to spend at the reef? If not, how late will you be for the return trip? Explain how you plan to solve this problem. Then solve the problem, showing all work. (5 points: 2 points for the explanation of the plan, 1 point for deciding if you will make it back to the island on time, and 2 points for determining either how long you can spend at the reef or how late you'll be)
Answer:
hi
Step-by-step explanation:
1. Circle the two boats you picked for your trip.
the yacht and the tall ship (aka the pirate ship)
2. Make sense of the problem.
what do you know?
The tall ship makes the trip in 10 hours. The yacht makes the trip in 2.5 hours. The tall ship is 30 knots slower than the yacht.
what do you want to find out?
How fast is each boat traveling in knots (nautical miles per hour)?
what kind of answer do you expect?
probably just some numbers like 10 miles per hour or 40 miles per hour
Writing some expressions
3. Write an expression for the distance going to the island. Let x be the speed of the boat you are taking to the island. Distance is equal to speed times time. (2 points)
the expression would be D = 10(x-30), d is the distance. it could also be simplified to 10x - 300
4. Write an expression for the speed of the boat coming back from the island in terms of the other boat's speed. Let x be the speed of the boat you are taking to the island. (2 points)
so the yacht's speed would be S = x knots, s is for speed.
5. Write an expression for the distance returning from the island. Use the expression for speed you found in question 4. Remember that distance is equal to speed times time. (2 points)
the distance returning from the island would be D = 2.5x.
6. Each ship travels the same distance. Set the distances equal to each other to get the equation for the speed of the ship you are taking to the island. (1 point)
10x - 300 = 2.5x
7. Solve the equation from question 6 for x. What does this tell you? (5 points: 1 point for showing your work, 3 points for solving for x, 1 point for explaining the answer)
10x - 300 = 2.5x
10x - 300 + 300 = 2.5x + 300
10x -2.5x = 300
7.5x = 300
x = 40
x is the speed of the yacht. (40 nautical miles per hour)
8. How fast does the second boat travel? Show your work. (2 points: 1 point for showing your work, 1 point for the answer)
the yacht travels at 40 nautical miles per hour and the tall ship travels at 100 (10x - 300) nautical miles per hour.
9. When you get to the island, you decide to take a kayak tour to a nearby reef. A kayak is a small boat you row with a paddle.
Find the speed for the kayak. Use one of these facts to help.
The steamboat's speed is 4 less than 8 times the speed of the kayak.
The tall ship's speed is 1 more than 3 times the speed of the kayak.
The yacht's speed is 5 less than 15 times the speed of the kayak.
Write and solve an equation for the speed of the kayak. Show your work. (5 points: 2 points for writing a correct equation, 3 points for the solution)
the equation for the speed of the kayak is 40 = 15x - 5, which in this case, x is the speed of the kayak
40 = 15x - 5
40 + 5 = 15x -5 + 5
45 = 15x
x = 3
therefore, the speed of the kayak is 3 nautical miles per hour.
10. The length of your trip to the island is 40 nautical miles less than 20 times the distance to the reef.
It's 2:00 p.m. now, and your boat leaves the island at 7:30 p.m. Will you be able to kayak to the reef and back by then?
If so, how long will you have to spend at the reef?
If not, how late will you be for the return trip?
Explain how you plan to solve this problem. Then solve the problem, showing all work. (5 points: 2 points for the explanation of the plan, 1 point for deciding if you will make it back to the island on time, and 2 points for determining either how long you can spend at the reef or how late you'll be)
the distance to the island is 100 nautical miles, so the expression would be 100 = 20x -40, with x being the distance to the reef.
we can solve for x by doing:
100 = 20x -40
100 + 40 = 20x - 40 + 40
140 = 20x
140 / 20 = x
x = 7
so the distance from my starting point to the reef will be 7 nautical miles, and the distance from the island to the reef would be 93 nautical miles.in that case, I would be like a day and a half late, but if you are trying to say that the ship is waiting for me at the starting point of my "adventure", then I would not be late if I kayak from my starting point to the reef, in fact, I could stay at the reef for like 50 min, because:
7 / 3 = 2 1/3 hours.
2 1/3 x 2 = 4 2/3 hours or 280 min. (to the reef and back)
7:30 p.m. - 2:00 p.m. = 5 1/2 hours or 330 min. (how much time I have till the ship leaves)
330 - 280 = 50 min. (how many min I can spend at the reef)
This is for the people that want to find out how to find the distance to the island.
jamescodwell answered all the questions correctly btw.
Step-by-step explanation:
Distance travelled divided by trip time = speed
trip time multiplied by speed = distance travelled
So the steamboat makes the trip in 5 hours travelling at a speed of 20 knots.
5 * 20 = 100 The trip to the island is 100 nautical miles.
Which expression is equivalent to –3 – 3x – 1 + x?
2x – 4
–2x + 4
–2x – 4?
4 – 2x
Answer:
-2x-4
Step-by-step explanation:
-3-1-3x+x
-4-2x
Answer:
-2x-4?
Step-by-step explanation:
Assignment on Edge 2021
⊂(®ω®)⊃
Question 5: The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.
74 73 74 77 75 68 73 69 69 69
70 71 73 72 72 71 62 63 66 65
65 64 68 67 67
Find the percentile rank of 73. % =
Answer:
The percentile rank of the data value 73 is 84.
Step-by-step explanation:
In this problem, you want to find the percentile rank of the data value 73 in the data set.
The percentile rank represents the percent of numbers in the data set that have value equal or less than 73.
Take note that there are 25 data values in this data set. It's helpful to sort them in ascending order.
Of these 25 data values, 21 are less than or equal to the data value 73. To find the percentile rank of 73, apply the formula:
percentile rank = (L/N)(100)
where L is the number of data values that are less than or equal to 73, and N is the size of the data set.
Substituting in values for this problem, we have:
percentile rank = (21/25)(100)
percentile rank = (0.84)(100)
Percentile ranks are always expressed as whole numbers.
Evaluating the multiplication above and rounding to the nearest whole number we have:
percentile rank = 84
Interpreting our answer, 84% of the numbers in the data set have values less than or equal to 73.
ILL GIVE YOU BRAINLIST !!! SHOW WORK
Answer:
45
Step-by-step explanation:
5z^x
Substitute each number for the right letter
5(-3)^2
5(9)
45
POSSIBLE POINTS 10
Il Candice can paint a room in 6 hours by herself and Grace can paint the same room in 8 hours by herself, how long will it
take them to paint it together?
Answer: 2 hours
Step-by-step explanation:
If Candice can paint a room in 6 and Grace can paint one in 8 subtract and 6 and get 2 hours
what is 45 +12 -12 +12 -12
Answer:
45
Step-by-step explanation:
1) First, add 45 and 12 which equals to 57.
2)Then, subtract 12 from 57 which equals to 45.
3) Again, add 45 and 12 which equals to 57.
4) Finally, subtract 12 from 57 which leaves us with 45.
Hope this helps!
Answer:
45
Step-by-step explanation:
I NEED HELP ASAP!!!!!!!!
Answer:
you can say how u shop a discount stores like shein and shop for clearance. You can also say that u used to spend money to keep up with the trends but u realized u needed the money for other important things, so u stopped
Step-by-step explanation:
I don’t know how to do it can someone help me?
Answer:f(g(0))= 1/5
g(f(0))= 7
Step-by-step explanation:
for f(g(0))=you solve for g(x) but you plug in 0 for x so g(0)= 8(0)+3
=3
so now you plug in the answer of the function of g(x) witch is 3 and plug it in as the x for F(x) so f(3)= 1/(3)+2
= 1/5
so f(g(0)) is equal to 1/5
Now for G(f(0)) you solve for f(x) by pluging 0 for x so F(0)= 1/(0)+2
=1/2
now you plug in 1/2 for the x of g(x) so g(1/2)= 8(1/2)+3
= 4+3
=7
so g(f(0)) is equal to 7
Hope this helps:)
Yo does anyone know how to do this ?
What is the distance between the point in Maine and the point in Tennessee? Round to the nearest tenth.
Answer:
The distance between the point is 1806 unit
Step-by-step explanation:
Given that,
The distance between the point in Maine and the point in Tennessee.
Suppose, The points are (-801,670) and (990,900)
We need to calculate the distance between the point
Using formula of distance
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Put the value into the formula
[tex]d=\sqrt{(990-(-801))^2+(900-670)^2}[/tex]
[tex]d=1806\ unit[/tex]
Hence, The distance between the point is 1806 unit.
The sum of three integers is 228. The second integer is 1 more than the first, and the third integer is 2 more than the first. Write an equation to determine the integers. Solve your equation. Show your work
Answer:
x=75
Step-by-step explanation:
first no.=x
second no.=x+1
third no.=x+2
now,
or,
x+x+1+x+2=228
or,
3x+3=228
or,
3x=228-3
or,
x=225/3
x=75 ans
Determine whether the geometric series 19.2 + 9.6 + 4.8 + ... converges or diverges, and identify the sum if it exists.
Answer: The infinite geometric series converges to 38.4
====================================================
Explanation:
Divide each term by its previous term
term2/term1 = 9.6/19.2 = 0.5
term3/term2 = 4.8/9.6 = 0.5
The common ratio is r = 0.5
Since -1 < r < 1 is true, this means the infinite geometric series converges.
It converges to...
S = a/(1-r)
S = 19.2/(1-0.5)
S = 38.4
Answer:
Top is right
Step-by-step explanation:
Write the expression: Five times the opposite of a number *
Answer:
5(-x)
Step-by-step explanation: