Answer:
0.6x < 12.5
x < 20.83 days
Step-by-step explanation:
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write an inequality that represents the number of days Diego's father can drive the car without the warning light coming on. Explain each part of your inequality
Car fuel capacity = 14 gallons
Fuel capacity that shows warning light = 1.5 gallons
Fuel capacity without warning light = Car fuel capacity - Fuel capacity that shows warning light
= 14 gallons - 1.5 gallons
= 12.5 gallons
Fuel used per day = 0.6 gallons
Let
x = number of days Diego's father can drive the car without the warning light coming on
The inequality is
0.6x < 12.5
Solve for x
x < 12.5/0.6
x < 20.83 days
A=1/2 h(x+y) make x the subject
Answer:
Step-by-step explanation:
A =1/2 *h (x+y)
A =hx+hy/2
A*2 =hx+hy
2A =hx+hy
2A - hy = hx
(2A -hy)/h = x
Answer:
x = [tex]\frac{2A-hy}{h}[/tex]
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] h(x + y) ← multiply both sides by 2 to clear the fraction
2A = h(x + y) ← distribute
2A = hx + hy ( subtract hy from both sides )
2A - hy = hx ( divide both sides by h )
[tex]\frac{2A-hy}{h}[/tex] = x
Help Please question in the picture
Answer:
Option (1)
Step-by-step explanation:
Given figure in the picture has two parallel sides and fulfilling the property of a trapezium.
Since, an isosceles trapezium contains two parallel sides and other pair of the sides are equal in length.
Therefore, the given trapezium can't be an isosceles trapezium.
Option (1) will be the correct option.
The graphs of four quadratic equations are shown. Identify the number of real solutions of each equation by
dragging descriptions to each graph.
Answer:
1. 2 real solutions
2. no real solutions
3. 2 real solutions
4. 1 real solution
Step-by-step explanation:
The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.
What number is equal to 58 × 5-6? 5 -2 5 2 5 48 5 -14
Step-by-step explanation:
please, write the problem statement properly. it is not clear what you are asking for.
for example, the way how you wrote it, the first expression would be
58 × 5 - 6
and that would be (remember, multiplication and division happen before any additions or subtractions)
58 × 5 - 6 = 290 - 6 = 284
nothing on the right side of numbers fits to that.
so, I am speculating. did you mean
58 × (5-6) ?
in that case we get
58 × (5-6) = 58 × (-1) = -58
and then I assume that the right side of all the numbers includes also operations (like +, -, ...), as I see no -58 in the list of numbers.
and then I just propose that the right side could look like
-2×5 - 48 (which would also be -58).
but again, this could be something completely different.
so, please, write your problem statement again. and carefully.
Which type of survey does this example represent?
Mariah wants to know how many hours of sleep the population of her K-8 school gets on an average night. She sends an email to every single student email account asking them to fill out a quick survey. After 5 days, she collects the data and calculates the mean.
A. Random Sample
B. Cluster Sample
C. Convenience Sample
D. Voluntary Response Sample
There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the result is a multiple of 3 and a multiple of 4?
Answer:
1/12
Step-by-step explanation:
multiple of 3 and a multiple of 4 implies it can only be 12.
Since you only have the numbers from 1 to 12,
the prob(the 12) = 1/12
(HELP ASAP NO LINKS OR YOU WILL BE REPORTED)
Which expressions can be used to calculate the volume of the rectangular prism?
Answer:
no clue.com
Step-by-step explanation:
i have no idea.com
pls help pls show how you got the answer
Answer:
L ACB = 25 ( L at centre = 2× L at circumference)
prove
sum = 75
centre = 50
then L AOB +ACB = 75
50 + L ACB =75
L ACB = 75 - 50
then L ACB= 25
HELPP!
A: Line a
B: Line b
C: Line c
D: None of the lines fit the data well
Answer:
B: Line b is the correct answer
Ayuda,help,ayuda,help
Answer:
14/3
Step-by-step explanation:
Set up two ratios and cross multiply. Solve for missing segment.
[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{7}[/tex]
3x = 14
x = 14/3
If f(x) = 3^x + 10x and g(x) = 5x - 3 find (f - g)(x)
Answer:
[tex](f-g)(x) =3^x + 5x + 3[/tex]
Step-by-step explanation:
[tex]f(x) = 3^x + 10 x\\g(x) = 5x -3 \\(f-g)(x) = f(x) - g(x)\\[/tex]
[tex]=(3^x + 10 x) - (5x-3)\\=3^x + 10 x- 5x + 3 \\=3^x + 5x + 3[/tex]
Mrs. Law’s seventh grade class volunteers for two days at an animal shelter. Each day, 30% of students will be assigned to help groom animals, 50% will be assigned to walk animals, and 20% will be assigned to clean the kennels. Michaela designs a simulation to determine how likely it is that she will be assigned to walk animals both days. She assigns digits as follows:• 0, 1, 2 5 Grooming• 3, 4, 5, 6, 7 5 Walking• 8, 9 5 Cleaning Then she generates the following sets of random numbers for her simulation. 2, 9 5, 2 3, 9 0, 1 8, 3 0, 5 0, 5 8, 3 6, 8 4, 7 7, 4 1, 5 Based on the results of the simulation, what is the probability that Michaela will walk animals on: a. both days? b. one day only? c. at least one day?
Based on the results of the simulation, the probability that Michaela will walk animals on:
a. both days = 1/6
b. one day only = 2/3
c. at least one day = 5/6
What is probability?Probability is simply how likely something is to happen.
Grooming = 0, 1, 2
Walking = 3, 4, 5, 6, 7
Cleaning = 8, 9
Based on the data generated in simulation, categorizing it into "Michael will walk animals zero days/ one day only/ both days based on the digit categorization given above.
(2,9) - zero days
(5,2) - one day
(3,9) - one day
(0,1) - zero days
(8,3) -one day
(0,5) - one day
(8,3) - one day
(6,8) - one day
(4,7) - two days
(7,4) - two days
(1,5) - one day
Probability that Michaela will walk animals both days = [tex]\frac{2}{12} = \frac{1}{6}[/tex]
Probability that Michaela will walk animals one day only = [tex]\frac{8}{12} = \frac{2}{3}[/tex]
Probability that Michaela will walk animals at least one day = Probability that Michaela will walk animals one day only + Probability that Michaela will walk animals two days only = [tex]\frac{8}{12}+ \frac{2}{12} = \frac{10}{12} = \frac{5}{6}[/tex]
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Find the solutions to x2 = 20.
O A. X = +52
O B. x = +2/10
OC. x = +2.5
O D. x = +10.12
Answer:
x=±2√5
Step-by-step explanation:
x²=20
x²=4×5
x²=(2√5)²
therefore,x= ±2√5
Select the two values of x that are roots of this equation.
x2 + 3x - 6 = 0
A. X =
-3+15
B.
-3-133
X=
C. x. -3+2/
-3-15
Answer:
b
Step-by-step explanation:
The roots of the quadratic equation x² + 3x - 6 = 0 are, x = [- 3 + √(33)]/2,
x = [- 3 - √(33)]/2.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We any to find any types of roots of a quadratic equation, real, complex or imaginary we use the formula,
[- b ± √(b² - 4ac)]/2a.
Therefore, The roots of the quadratic equation x² + 3x - 6 = 0 is,
x = [- 3 ± √(3² - 4×1×-6)]/2×1.
x = [- 3 ± √(9 + 24)]/2.
x = [- 3 ± √(33)]/2.
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help
dhgdfdfyfyfgfgfjfgfghfhgfdhgdfh
Answer:
5=26
14=17
n=1
31n=31*1=31
which of the following are equation for the line shown below.(-2,4) and 1,-5)
The graph shows the absolute value parent function.
5
-5
5
-5
Which statement best describes the function?
O A. The function is increasing when x < 0.
Answer:
C, never negative
absolute value is like asking for "how much away from zero", so -5 is 5 away from zero.
The graph of the function is increasing when x>0.
What is graph?Graph a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
here, we have,
We know, cube root parent is:
The basic parent cube root function is of the form f (x) = ∛x. It increases on the interval (-∞, ∞). It increases on the interval [0, ∞). It is positive on (0, ∞) and negative on (-∞, 0). It is a non-negative function always (on [0, ∞)). Its absolute min is 0 but no absolute max. Its domain and range is the set of all real numbers.
Given,
The function f(x) = ∛x
Let x = 1, we get f(x) = 1,
x =2, f(x) = 8
if x =3, f(x) = 27.
As we know, with increase in the value of x, the value of f(x) is also increasing.
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two sides of a parallelogram are 6.5 feet and 4.2 feet the measure of the angle between the sides 150° find the area of the parallelogram to the nearest 10th of a square foot
Answer:
13.7
Step-by-step explanation:
-----------------------------
probability................................
Answer:
outcome 10
simple space10
A 5
B 5
C 5
Step-by-step explanation:
Hope this helps!!!
At what rate, in minutes per lap, does this swimmer swim?
Answer:
1.6
Step-by-step explanation:
all u gotta do is divide 6.4 by 4:)
hope that helps!<3
Adwoa received a commission of 20% on bread she sold. In one week, Adwoa's commission was Gh¢540. How much bread did she sell during that week. And find her average daily commission.
Answer:
a). 2700
b). 385.7
Step-by-step explanation:
According to the Question,
Given that, Adwoa received a commission of 20% on the bread she sold. In one week, Adwoa's commission was 540.
let x be the total cost of bread she sells during the week.
a). Thus, 20% of x = 540
x = 540 × (100/20) ⇒ 2700 is the total cost of bread she sells during the week.
b). Now, her average daily commission is 2700/7 ⇒ 385.7
which inequality is shown in the graph
Answer:
Less than.
Step-by-step explanation:
Finish the congruence statement for the triangles in question #4 by filling in the blank:
BCD = ???
Answer:
ASA
Step-by-step explanation:
Given the lines, we know ED = CD
Given the right angles, we know angle DEF = angle BCD
Because angles BDC and FDE are on the same line, and are opposite of each other, those are congruent as well
can someone answer B for me please and thank you sm
Answer:
a = 1/8
b = 8
Step-by-step explanation:
a (1/2) ^3 = (1/2) *(1/2) * (1/2) = 1/8
b( 1/2 ) ^ -3 The negative exponent means 1 / (1/2)^3 = 1/ (1/8) = 8
Find the perimeter of the composite figure
Answer: 172.3ft
Step-by-step explanation:
Express 1800 ml as percentage of 2.1 L
Answer:
1400 ml is 66.67% of 2.1 L
To express one number as a percentage of another, form a fraction using these two numbers and multiply it by 100. Note that the number that is being expressed as a percentage is placed in the numerator of the fraction.
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
A. [tex]2x^2y\sqrt[3]{7xy^2}[/tex]
Step-by-step explanation:
When given the following problem,
[tex]\sqrt[3]{56x^7y^5}[/tex]
The problem asks one to find the cube root of the value under the radical. The cube root of a number is essentially a value that must be multiplied by itself three times to get the result under the radical. An easy way to do this is to prime factorize the value under the radical sign. This will allow one to see the components of the number, thus making it easier to take value out of the radical;
[tex]=\sqrt[3]{7*2^3x^7y^5}[/tex]
Now divide each of the exponents by (3), write the whole result outside the radical, and the remainder under the radical,
[tex]=2x^2y\sqrt[3]{7xy^2}[/tex]
Can someone help me? It's urgent and thank you!
Answer:
option A
Step-by-step explanation:
[tex]\frac{x+ 3}{12x} \ \cdot \ \frac{4x}{x^2 +x - 6}\\\\= \frac{x+ 3}{12x} \ \cdot\ \frac{4x}{x^2 +3x - 2x - 6}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{x(x + 3) -2(x+3)}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{(x + 3)(x -2)}\\\\= \frac{1}{12x} \ \cdot \ \frac{4x}{(x - 2)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\\\= \frac{1}{3} \ \cdot \ \frac{1}{(x - 2)}\\\\= \frac{1}{3(x - 2) }[/tex]
If f(x) = 5x² – 2x + 7 and g(x) = -2x2 +6x + 3
then f (x)-g(x) =
Answer:
7x² - 8x + 4
Step-by-step explanation:
f(x) - g(x)
= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1
= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms
= 7x² - 8x + 4
para realizar una minga en una escuela sehan reunido 750 personas .en la organizacion de las actividades se solicito a 1/15 de total para limpiar los patios y jardines a 2/25 del total arreglar bancas y al rwsto de las peronas se les pidio limpiar las pertas y ventanas de toda la institucion
¿cuantas personas limpiam los patios y jardines ?
¿cuantas personas pintan las paredes ?
¿cuantas personas arreglan las bancas ?
¿cuantas personas limpiam las puertas y ventanas ?
pliss ayuda espara manaña hasta las 5 am :")
