Answer:
Linda = z - 15
Step-by-step explanation:
Linda spent $15 less than Juan, it means: Linda + 15 = z
Linda + 15 - 15 = z - 15
Linda = z - 15
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The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is . The solution to the inequality is . Sal's mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.
Question:
Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage.
The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is .
The solution to the inequality is .
Sal’s mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.
Answer:
a. [tex]150 + 51x < 100 + 55x[/tex]
b. [tex]x > 12.5[/tex]
c. At least 13 months
Step-by-step explanation:
Given
First Phone;
[tex]Cost = \$100[/tex]
[tex]Additional = \$55[/tex] (monthly)
Second Phone;
[tex]Cost = \$150[/tex]
[tex]Additional = \$51[/tex] (monthly)
Solving (a): The inequality
Represent the number of months with x
The first phone is expressed as:
[tex]100 + 55x[/tex]
The second phone is expressed as:
[tex]150 + 51x[/tex]
For the second to be less expensive that the first, the inequality is:
[tex]150 + 51x < 100 + 55x[/tex]
Solving (b): Inequality Solution
[tex]150 + 51x < 100 + 55x[/tex]
Collect Like Terms
[tex]51x-55x<100 - 150[/tex]
[tex]-4x<-50[/tex]
Solve for x
[tex]x > -50/-4[/tex]
[tex]x > 12.5[/tex]
Solving (c): Interpret the solution in (b)
[tex]x > 12.5[/tex] implies 13, 14, 15....
Hence, She'll keep the second phone for a period of at least 13 months
Answer:
I'm terrible at explaining so here's a screenshot
- Ripper
Step-by-step explanation:
Write an equation of a line that is (a) parallel to the given line and (b)
perpendicular to the given line.
can you answer 7 too ?
Answer:
for question 7 : I think it is no
Step-by-step explanation:
if you plot the points on a quick rough sketch you will find that none of the coordinates are on the same line (which they would have to be for a straight line). No points in those 3 coordinates are the same so the there cannot be two points on the same x or y coordiante therefore there is no right-angles triangle.
If you plot the points roughly there will not be two perpendicular lines so there is no right-angles triangle.
sorry I realise this is confusing :(
Also for Question 5:
Parallel should be anything y= for example, y=6
Perpendicular should be anything x= for example x=6 as y=7 is a horizontal line and x=6 is a vertical line. Y=6 would be parallel because y=(any number with no gradient e.g. 1,2,3,4,etc.) is horizontal.
13/14% of a quantity is equal to what fraction of the quantity?
write 0.63 repeating as a fraction in simplest form
Answer:
2
Step-by-step explanation:
8=
Answer:
63/100 (the simplest form)
Step-by-step explanation:
1. Covert decimal into fraction:
0.63 = 63/100
2. Simplify (1 is the greatest common divisor of 63 and 100. The result can't be further reduced):
63/100
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $720 worth of jewelry. How much did he make in commission? How much did the jewelry store make from his sales?
Answer:
i think its 180 im sorry if wrong
Step-by-step explanation:
Answer:
691.2
Step-by-step explanation:
720(0.04)=28.8
720-28.8=691.2
An 11-inch string is cut into 3 equal pieces. Which expression shows the length of each piece?
A. 11/3
B. 1/11 of 3
C. 3 divided by 11
D. 3÷11
Answer:
a
Step-by-step explanation:
11/3 (eleven divided by three)
Find the slope please
Answer:
m= 1 / -3
Step-by-step explanation:
You have to use the formula
m =
y2 - y1
x2 - x1
plug-in all you numbers
m=
4 - 3
- 1 - 2
Find all the numbers such that one-third of the number is at most five.
triangle ABC is shown in the diagram. The links of the sides are in terms of the variable n, where n >4. complete the inquality
9514 1404 393
Answer:
m∠B < m∠A < m∠C
Step-by-step explanation:
We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.
For n = 4, the side lengths are ...
a = 2(4) = 8
b = (4) +3 = 7
c = 3(4) -2 = 10
The longest side is opposite the largest angle, so the ordering of angles is ...
m∠B < m∠A < m∠C
_____
The triangle inequality requires all of these inequalities be true:
a+b > c ⇒ 3n+3 > 3n-2 . . . always trueb+c > a ⇒ 4n+1 > 2n ⇒ n > -1/2c+a > b ⇒ 5n-2 > n+3 ⇒ n > 5/4That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.
Answer:
M- B M-A M-C
Step-by-step explanation:
yw
I put 37 points in this pls this is urgent!! I’ll give brainliest to best answer... PLEASEE
Answer:
19x + 550n + 200
Step-by-step explanation:
Total cost of the skirts
[tex]7x + 150n + (2n + 1) \times 200 + 4 \times 3x \\ \\ = 7x + 150n + 400n + 200 + 12x \\ \\ = \purple{ \bold{19x + 550n + 200}}[/tex]
Find the quotient: (16x + 24x2) = 2x
Answer:
48x=2x
Step-by-step explanation:
im big brain can i get brainilest
Eugene has five payments left to make on his computer. If each payment is $157.90, how much does he still owe?
$157.90 x 5 = $789.50
He still owes $789.50
This is not math but plz help here are some points
Answer:
the second one
Step-by-step explanation:
Help me please I need help with this
Answer:
A
You plug in the same x value for each and see the answer. So 2(5)*10^4= 100000. And for the other we do 4(5)*10^2 which is 200. Since is says that 2x10^4 is 50 times as great as 4x10^2, we know that a is right because 200 * 50 = 100000.
What is the domian of y=4[x+2]
Answer:
I'm pretty sure The domain of y=4[x+2] is (-infinity, infinity)
( − ∞ , ∞ ) , { x | x ∈ R }
h+9.5= -9.5
find h. help pls, thank you
a line containing the points (4,4) and (8,9)
Answer:
im assuming slope : 5/4 is slope
Step-by-step explanation:
the formula (y₂ - y₁) / (x₂ - x₁) is how you get slope. plug stuff in and you get (9 - 4) / (8 - 4) and thats 5/4
Answer:
y=1.25x-1
Step-by-step explanation:
Hope this helps! PS I'm not assuming anything
Instructions: Find the missing angle in the image below. Do not include spaces in your answers. If you are using a screen-reader, please consult your instructor for assistance. m∠DCF= ∘
$4.50 plus $3.60 per mile. Patrick paid $28.80 to ride a shuttle bus into the city. How many miles did Patrick ride on the shuttle bus?
I'm very sorry but i don't know the answer to this queshtion
Which ordered pair is the solution to the system of equations? {−3x+4y=−20y=x−4 (−4, −8) (4, 8) (−2, −6) (0, −5)
Answer:
Step-by-step explanation:
-3x + 4y = -20
y = x - 4
Put the second equation into the first equation in place of y.
-3x + 4 (x - 4) = -20
Multiply everything in the parenthesis by 4.
-3x + 4x - 16 = -20
Combine like terms.
x - 16 = -20
Add 16 to both sides.
x = -4
Put this into the second equation in place of x.
y = -4 - 4
y = -8
Your solution set is (-4,-8).
Hope this helps!
Answer:
(-4,8)
Step-by-step explanation:
Help!! Its a photo but I need help on it quick!!! Ty if you help me!
Answer:
36
Step-by-step explanation:
Max swims the breaststroke for 4 laps at the speed of 50 meters per minute. He then switches to the backstroke and swims another 4 laps at the speed of 25 meters per minute. A If length of the pool is d meters, how long did it take Max to complete 4 laps breaststroke?
Answer:
The answer is below
Step-by-step explanation:
Max swims the breaststroke for 4 laps at the speed of 50 meters per minute. He then switches to the backstroke and swims another 4 laps at the speed of 25 meters per minute.
a) If length of the pool is d meters, how long did it take Max to complete 4 laps breaststroke?
b) How long did it take Max to complete 4 laps backstroke?
c) It took him 2 minutes longer to complete 4 laps backstroke than 4 laps breaststroke. Write the equation that describes this fact.
d) What is the length of the swimming pool?
Solution:
a) Speed is the ratio of distance to time, it is given as:
speed = distance/time
1 lap = d meters, hence:
4 laps = 4d meters
Max swims the breaststroke at 50 meters per minute. Let us assume the time taken to complete 4 laps is [tex]t_1[/tex] minutes hence:
50 = 4d/[tex]t_1[/tex]
[tex]t_1\\[/tex] = 4d/50
[tex]t_1[/tex] = 2d/25 minutes
b) 1 lap = d meters, hence:
4 laps = 4d meters
Max swims the backstroke at 25 meters per minute. Let us assume the time taken to complete 4 laps is [tex]t_2[/tex] minutes hence:
25 = 4d/[tex]t_2[/tex]
[tex]t_2[/tex] = 4d/25 minutes
c) Since It took him 2 minutes longer to complete 4 laps backstroke than 4 laps breaststroke
[tex]t_2=t_1+2[/tex]
c)
[tex]t_2=t_1+2[/tex]
[tex]\frac{4d}{25}= \frac{2d}{25}+2\\\\multiply\ through\ by\ 25:\\\\4d = 2d +50\\\\4d-2d=50\\\\2d=50\\\\d=25\ meters[/tex]
The pool is 25 meters long
The Marine Discovery Aquarium sells ocean-themed cookies in their gift shop. Last month, they sold 65 shark cookies and 85 clown fish cookies. The cookies were so popular that they want to order more cookies this month. They plan to order 170 clown fish cookies this month. If they keep the same ratio, how many shark cookies should they order this month?
Answer: 130 shark cookies.
Step-by-step explanation: If you divided 170 clown fidh cookies by 85 clown fish cookies you get 2. So same as 85 times 2. Then do the same with the shark cookies. 65 times 2, that equals 130.
Five angles of a hexagon are each 115°. Calculate the size of the sixth angle.
what is the least common denominator of2/3and 5/8
Answer:
16
Step-by-step explanation:
3 and 8 can both go into 16
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
The answer is 5 cups...
La casa de Mauricio está construida en un terreno de forma rectangular, el cual mide el doble de largo que de ancho. Mauricio asegura que el área del terreno es de 242 metros cuadrados. ¿cuál es la expresión algebraica correspondiente al área del terreno?
Answer:
x^2 = 121
Step-by-step explanation:
Sea el ancho del terreno x metros
Dado que la longitud es el doble del ancho, entonces la longitud será 2 * x = 2x
Matemáticamente, el área de un rectángulo es;
Anchura longitud Por lo tanto, tenemos
x * 2x = 242 metros cuadrados
Así; 2x ^ 2 = 242
x ^ 2 = 242/2
x ^ 2 = 121
1
Find the slope of the following graph and write your result in the empty box.
Answer:
Answer:
y = 2x
Step-by-step explanation:
Slope = [tex]\frac{y}{x} =\frac{2}{1}[/tex]
What is the decimal equivalent of 5/11? (round to the hundredths place)
Answer:
0.45
Step-by-step explanation:
Answer:
0.45
Step-by-step explanation:
5 ÷ 11 or 5.0 ÷ 11 = 0.45
Hope this helped!!! Pls mark me brainliest if you want more math answers like this! Also pls thank me!
(-3, 3.6)
(5, 2)
what is the rate of change of y with respect to x for this function
Answer:I got -0.2
Step-by-step explanation:
The rate of change of y with respect to x for this function should be considered to be the -0.2.
Calculation of the rate of change:Since
x = -3
y = 3.6
[tex]x_1[/tex] = 5
[tex]y_1[/tex] = 2
So here the rate of change be
[tex]= (y_1 - y) \div (x_1 - x)\\\\[/tex]
= (2-3.6) ÷ (5 + 3)
= -1.6 ÷ 8
= -0.2
Hence, The rate of change of y with respect to x for this function should be considered to be the -0.2.
Learn more about rate here: https://brainly.com/question/9882283