Given:
The inequalities are:
1. [tex]x-85.2\leq 14.6[/tex]
2. [tex]\dfrac{x}{6}>-23[/tex]
3. [tex]x-43<37[/tex]
4. [tex]8x\leq 128[/tex]
5. [tex]x+4.7>21.6[/tex]
To find:
The inequalities that have 4 as a solution.
Solution:
We need to put [tex]x=4[/tex] in each inequality, to check whether it is a solution or not.
1. The inequality is
[tex]x-85.2\leq 14.6[/tex]
Putting [tex]x=4[/tex], we get
[tex]4-85.2\leq 14.6[/tex]
[tex]-81.2\leq 14.6[/tex]
This statement is true. So, the inequality [tex]x-85.2\leq 14.6[/tex] has 4 as a solution.
2. The inequality is
[tex]\dfrac{x}{6}>-23[/tex]
Putting [tex]x=4[/tex], we get
[tex]\dfrac{4}{6}>-23[/tex]
[tex]0.67\leq -23[/tex]
This statement is true. So, the inequality [tex]\dfrac{x}{6}>-23[/tex] has 4 as a solution.
3. The inequality is
[tex]x-43<37[/tex]
Putting [tex]x=4[/tex], we get
[tex]4-43<37[/tex]
[tex]-39<37[/tex]
This statement is true. So, the inequality [tex]x-43<37[/tex] has 4 as a solution.
4. The inequality is
[tex]8x\leq 128[/tex]
Putting [tex]x=4[/tex], we get
[tex]8(4)\leq 128[/tex]
[tex]32\leq 128[/tex]
This statement is true. So, the inequality [tex]8x\leq 128[/tex] has 4 as a solution.
5. The inequality is
[tex]x+4.7>21.6[/tex]
Putting [tex]x=4[/tex], we get
[tex]4+4.7>21.6[/tex]
[tex]8.7>21.6[/tex]
This statement is false. So,4 is not a solution of the inequality [tex]x+4.7>21.6[/tex].
PLS HELP ASAP WILL GIVE BRAINlEST AND 100 POINTS
A bus travels from town A to town B. If the bus's speed is 50 km/hr, it will arrive in town B 42 min later than scheduled. If the bus increases its speed by \displaystyle \frac{50}{9}
9
50
m/sec, it will arrive in town B 30 min earlier than scheduled. Find:
A) The distance between the two towns;
B) The bus's scheduled time of arrival in B;
C) The speed of the bus when it's on schedule.
Answer:
60 km/hr
Step-by-step explanation:
First we will determine the speed of the bus following it's increase. The speed is increased by:
50m/9sec=50.60.60/9/1000 .km/hr=20 km/hr
Therefore, the new speed is V = 50 + 20 + = 70
km/hr. If x is the number of hours according to the schedule, then at the speed of 50 km/hr the bus travels from A to B within ( x + 42/60 ) hr. When the speed of the bus is V = 70 km/hr, the travel time is x -30/60 hr. Then:
50(x+42/60)=70(x-30/60)
5(x+7/10)=7(x-1/2)
7/2+7/2=7x-5x
2x = 7
x=7/2 hr
So, the bus is scheduled to make the trip in 3 he 30 minutes.
The distance between the two towns is 70 ( 7/2 – 1/2 ) = 70 • 3 = 210 km and the scheduled speed is:
270/7/2=60km/hr
Show all of your work. Simplify the expression: - 3a + 7 + 5a
Answer:
2a + 7
Step-by-step explanation:
-3a + 7 +5a
subtract the negative 3 from the 5
2a + 7
Answer: it would be 2a+7
Step-by-step explanation: Hope this help :D
The price of a watch was increased by 20% to £198.
What was the price before the increase?
Answer:
$165 Hope this helps! May I have brainliest? I need to level up?
Step-by-step explanation:
To find the original price before the increase, divide the new price by 1 + the percent of increase.
198 / 1.20 = 165
The original price was $165
Can one of you guys help me
Find x. Hypotenuse would be 16 and opposite would be y and x would be adjacent
Answer:
x= 6.762° y= 14.501°
Step-by-step explanation:
remember if you don't have the missing angle adjacent(side) to the right angle, it wont work. If you ever need to find it, tell me.
LAST QUESTIONS ABT THIS ASSIGNMENT, DUE IN 6 MINS!!
Answer: 168
Step-by-step explanation: just multiply base times length times height
Confused!! Please answer!!
A quadratic function f models the predicted population growth in Town F after x years. An exponential function g models the predicted population growth in Town G after x years. Use the table to compare the average rate of change for each function from x = 1 to x = 3. Which function has a greater average rate of change over this interval? Enter either f or g in the box.
Answer: g
Step-by-step explanation:
Answer:
g(x)
Step-by-step explanation:
i took the test
I need help with this question, plsssssssss
Answer: 60 also your welcome
Write a positive or negative integer that represents the situation. You earn $15 raking leaves. The integer represents the situation.
Answer:
+$15
Step-by-step explanation:
Amount earned for raking leaves = $15
Representing the amount earned above. As a positive or negative integer will depend on what the money is used for or stands for.
Amount earned for working adds to one's wealth while expenses will be represented as negative as it decreases the amout one has ;
Hence, integer ; +$15
DONT SEND LINK OR I REPORT Is the relation shown a function? Explain.
Answer:
It is because x does not repeat
(っ◔◡◔)っ ♥ Hope It Helps & Please Consider Giving Brainliest♥
HELP WHAT IS THE EQUATION !????
Answer:
17 + 6h = 71
Step-by-step explanation:
17 dollars for a bike + 6 times the amount of hours will equal the total that he gave.
to manipulate this equation to find h, isolate it first.
6h = 71 - 17
6h = 54
h = 54/6
h = 9
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 2/7 of
the drink is apple juice and 1/2 is orange juice then write the ratio of cranberry juice to apple
juice to orange juice in its simplest form.
Answer:dwqdwdqw
Step-by-step explanation:
abuhchqecieuc
Which of the following expressions represents the value, in dollars, of a certain number of dimes, d, and pennies, p?
Answer:
If your answer choices are:
0.01d + 0.10p
0.10d + 0.01p
0.11dp
0.11d + p
A dime is 10% of a dollar and a penny is 1% of a dollar, or 0.10 and 0.01
Then 0.10d + 0.01p is the expression
Hope this helps!
**PLEASE HELP TIMED TEST**
Which expression is equivalent to the following complex fraction?
+
х
Y ||
2
X
Answer:
option A is equivalent to the complex fraction
A tree outside Dave’s house is 12 feet tall
Answer:
wheres the reszt of the question?
Step-by-step explanation:
A VERTICAL line passes through the point (4, 5). Find an equation for this line.
A)
X = 4
B)
y = 5
C)
y = 4
D)
y = 4x + 5
Answer:
A
Step-by-step explanation:
slope of a vertical line is undefined
the equation is x= 4
Apply the distributive property to create an equivalent expression. 6(5x -3) (HELP PLSSS)
find the measure of ONE interior angle of a regular polygon with the given number of sides.
A. 6
B. 10
C. 15
Answer:
156
Step-by-step explanation:
Answer:
the answer is c.
Step-by-step explanation:
Find the volume of the sphere.
Either enter an exact answer in terms of 7 or use 3.14 for I and round your final answer to the nearest hundredth.
units
Answer:
Volume of the given sphere = 4.19 units³
Step-by-step explanation:
Volume of a sphere is given by the expression,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = radius of the sphere
From the picture attached,
Radius of the sphere 'r' = 1 unit
Volume of the given sphere = [tex]\frac{4}{3}\pi (1)^3[/tex]
= [tex]\frac{4}{3}\pi[/tex]
= [tex]\frac{4}{3}(3.14)[/tex]
= 4.187
≈ 4.19 units³
Use the information given to enter an equation in standard form.
(5, 12) and (4, 10) are on the line.
DESPERATE FOR ANSWER
Answer:
2x - y = -2
Step-by-step explanation:
[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]m = \frac{10-12}{4-5} =\frac{-2}{-1} =2[/tex]
[tex]10=2(4)+b\\10=8+b\\2=b\\y=2x+2\\2x-y=-2[/tex]
2. Pat also made a container of punch. She gave 1/12 of the punch to her mother to try and ⅛ of the punch to each of her two sisters. What fraction of the punch was left to take to the party? (*Hint 12/12 - 1/12 - 1/8 - 1/8 = ?)
lol, pls help as soon as you can!
Answer:
2/3
Step-by-step explanation:
1 - (1/12 + 2·1/8)
= 12/12 - (1/12 + 1/4)
= 12/12 - (1/12 + 3/12)
= 12/12 - 4/12
= 8/12 which reduces to 2/3
Write the equation of the line passing through point (-2 - 2) with a slope of -1
Substitute into y = mx + b and for b
HELP WHAT WHATS THE EQUATION
Answer:
p=17+6h
Step-by-step explanation:
01. En una piscigranja el 30% de boquichicos es el 20% del número de carachamas. Si sólo hay boquichicos y carachamas. ¿Qué porcentaje del 80% del total es el número de boquichicos? A) 30% B) 50% c) 40% D) 60% E) 25% 02. Se sabe que un libro de de Psicología es más caro que uno de Inglés; uno de Matemática más caro que uno de Historia, pero más barato que uno de Psicología. ¿Cuál es el más caro? A) Psicología B) Historia C) Matemática D) Inglés E) No se puede determinar 03. Calcular la cantidad total de esferas en el siguiente arreglo triangular. A) 4950 B) 5000 C) 4850 D) 5050 E) 5151 04. Calcular "E" y dar como respuesta la suma de sus cifras. A) 900 B) 1200 c) 1800 D) 2700 E) 9990
Answer:
0.1. B) 50%
0.2 A) Psicología
Step-by-step explanation:
01. Dejemos que 'x' e 'y' representen el porcentaje de boquichicos y carachamas en la piscifactoría, tenemos;
Dado que el 30% de los boquichicos es el 20% del número de carachamas
30% x = 20% y
∴ 0.3 · x = 0.2 · y
Por lo tanto, tenemos;
x / y = 0,2 / 0,3 = 2/3
Por lo tanto, por cada 100% de pescado, tenemos;
x + y = 100%
x = 2/3 · y
2/3 · y + y = 100%
5 · años / 3 = 100
y = 100 × 3/5 = 60%
El porcentaje de carachamas en la finca, y = 60%
∴ x = 100% - y = 100% - 60% = 40%
El porcentaje de boquichicos en la finca, x = 40%
Por lo tanto, tenemos el 80% del pescado en la granja, obtenemos;
Si hay 100 peces en la granja, 80% = 80 peces
Pero el número de los 100 peces que son boquichicos en la granja = 40% × 100 = 40 peces
Por lo tanto, los boquichicos son la mitad del 80% del número de peces o el 50% de los peces en la piscifactoría.
La opción correcta es;
B) 50%
02. Tenemos;
El costo de un libro de psicología> El costo de un libro en inglés
El costo de un libro de matemáticas> El costo de un libro de historia
El costo de un libro de psicología> El costo de un libro de matemáticas
Por lo tanto, tenemos;
El costo de un libro de psicología> El costo de un libro de matemáticas> El costo de un libro de historia
∴ El libro de Psicología es más caro que todos los demás libros y, por tanto, es el libro más caro
La opción correcta es;
A) Psicología
1. Find the missing reference angle using arcsin, arccos, or arc tangent. (Round to
the nearest whole number)
39
10
1?
Your answer
Answer:
15°
Step-by-step explanation:
Reference angle = [tex] \theta [/tex]
Side Opposite to reference angle = 10
Hypotenuse = 39
Let's use arcsin:
recall: SOHCAHTOA
Therefore:
[tex] \theta = sin^{-1}(\frac{Opp}{Hyp}) [/tex]
Substitute
[tex] \theta = sin^{-1}(\frac{10}{39}) [/tex]
[tex] \theta [/tex] = 14.8571655° = 15° (to nearest whole number)
Shaylyn measured her house as 5 meters tall.Which of these is an equivalent measurement
A. 0.3 miles
B. 7.3 yards
C. 16.4 feet
D. 27.2 inches
Jeff wants to upgrade the entertainment center. The price of a television was reduced from $2, 500 to $2,000. By what percentage was the price of the television reduced?
the polynomial y = x^{5} + x^{3} - x^{2} - 1 factors into (x^{2} + 1) (x^{3} - 1). what is the multiplicity of the root (x^{3} - 1)?
Answer:
The multiplicity of the root is 1
Step-by-step explanation:
Firstly, we need to understand what multiplicity is
By multiplicity, we simply refer to the number of times we have the certain root repeating itself
From the factorization, each of the given roots were only repeated once
That indicates that the given multiplicity is 1
James joins Club one which charges a monthly membership of 19.99 how much will James spend in all if he continues his membership for six months
Generally speaking, the ____ quality, the ___
price.
1. lower; higher
2. higher; lower
3. higher; higher
4. There is no relationship between price and quality.