Answer:
Multiply=times top then bottom. 1/2*1/3=1*1/2*3=1/6
Divide Fractions=take reciprocal then multiply. 1/2=1/3=1/2*3/1=3/2
Step-by-step explanation:
Not needed
Let fx) = x + 11 + 2 and g(x) - 2 x + 11. When does f(x) = g(x)?
Answer:when x= -2/3
That means, when the common product of f(x) & g(x) is x+2/3
Step-by-step explanation:
A college student mows lawns to cover his weekly expenses. The student charges $10 for each hour he spends .mowing lawns Identify the related and unknown quantities.
Which two unknown quantities in this situation are related?
A.
The amount of money the student earns
B.
The number of college students mowing lawns
C.
The number of hours the student spends mowing lawns
D.
The number of lawns the student mows
Answer:
A. and C.
Step-by-step explanation:
Diana worked on her science project for 513 hours. Gabe worked on his science project 114 times as long as Diana. Paula worked on her science project 34 as long as Diana. How long did Gabe and Paula work on their projects?
Answer:
Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
Step-by-step explanation:
It is given that,
Diana worked on her science project for 5 1/3 hours.
Gabe worked on his science project 1 1/4 times as long as Diana.
Paula worked on her science project 3/4 as long as Diana.
Solution,
ATQ,
Gabe worked for :
[tex]5\dfrac{1}{3}\times 1\dfrac{1}{4}\\\\=\dfrac{16}{3}\times \dfrac{5}{4}\\\\=\dfrac{20}{3}\ h\\\\=6\dfrac{2}{3}\ h[/tex]
Pauls worked for :
[tex]\dfrac{3}{4}\times 5\dfrac{1}{3}\\\\=\dfrac{3}{4}\times \dfrac{16}{3}\\\\=4\ h[/tex]
Hence, Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
For f (x), evaluate the following:
a, f(0)
b. f(6)
Show all of your work
Answer:
a). f(0) = 4
b). f(6) = 8
Step-by-step explanation:
a). When x < 5, piecewise function to be considered,
f(x) = x + 4
Since, x = 0 is less than x = 5
f(0) = 0 + 4
f(0) = 4
b). When 5 ≤ x < 7,
Piecewise function to be considered,
f(x) = 8
Therefore, for x = 6,
f(6) = 8
Solve the system by substitution.
y = -7x + 6
y = -10x
Answer:
(-2, 20)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = -7x + 6
y = -10x
Step 2: Solve for x
Substitution
Substitute in y: -10x = -7x + 6Add 10x to both sides: 0 = 3x + 6Isolate x term: -6 = 3xIsolate x: -2 = xRewrite: x = -2Step 3: Solve for y
Define equation: y = -10xSubstitute in x: y = -10(-2)Multiply: y = 20Answer:
x = -2
y = 20
Step-by-step explanation:
y = -7x + 6
y = -10x
y = -10x
-7x + 6 = -10x
3x = -6
x = -2
y = -7x + 6
y = -7 ( -2 ) + 6
y = 14 + 6
y = 20
For a crafts fair, Charlie made 25 necklaces with 96 beads in each necklace. Shaniqua made 28 necklaces with 84 beads in each necklace. Who used more beads? _____________________ How many more beads? ____________________
Answer:
A. Charlie
B. Charlie used 48 more beads than Shaniqua
Step-by-step explanation:
Charlie:
25 necklaces with 96 beads in each necklace.
Total beads used = number of beads per necklace × number of necklace
= 96 × 25
= 2,400 beads
Shaniqua:
28 necklaces with 84 beads in each necklace.
Total beads used = number of beads per necklace × number of necklace
= 84 × 28
= 2,352 beads
A. Charlie used more beads
B. 2,400 beads - 2,352 beads= 48 beads
Charlie used 48 more beads than
Shaniqua
The toy factory at the North Pole uses 350 feet of wood to make 200 toys. At this rate,
how many feet of wood re needed to make 1 toy?
Answer:
1.75 feet of wood
Step-by-step explanation:
350/200 = 1.75
x/1 = 1.75
Multiply both sides by 1 to isolate x.
x = 1.75
Which one is correct please help
16x – 20y
20y = 60
Slope intercept form
Answer:
16x=60
X=15/4
Step-by-step explanation:
Solve.
The perimeter of a college athletic field is 100 meters and the length is 18 m more than the width
Find the length, width and area.
take the breadth as x and accordingly length as (x+18)
the formula for finding the perimeter of a rectangle is 2(l+b) now put the correct values as shown in the picture and form an equation this way you will be able to find x which is the breadth and length Is 18 morethan breadth ,now as u have found both length and breadth go ahead and find the area whose formula is length×breadth
HOPE IT HELPS
look at pic n answer plz, its math
Answer:
the answer is G because each grab the probability is 1/5 and 1/5*1/5= 1/25
What is the diameter of the circle shown above?
A) 1 inch
B) 3.14 inches
C) 8 inches
D) 16 inches
HURRY PLEASE DUE IN A FEW MINUTES!!! WILL MARK THANKS, 5 STARTS AND BRANLIEST IF RIGHT!!!!!!
Answer:
D. 16 in.
Step-by-step explanation:
The radius of the circle is 8 in. The diameter of any circle is twice the radius.
2 x 8 = 16
The diameter is 16 in. long.
I hope this helped :)
A family has a hybrid car that gets 40 miles per gallon (mpg) and a pickup truck that gets 17 mpg. They drive at least 500 miles per week using both vehicles but don't want to use more than 20 gallons of gas. Make a recommendation for using each vehicle. Part A Write an expression that represents the total amount of gasoline used. Then write an inequality to show the maximum amount of gasoline that the family wants to use. Define the variables and list any constraints on the variables.
Answer:
[tex]Z=x+y[/tex]
[tex]x+y<20[/tex]
Step-by-step explanation:
Let the gallons of fuel used in the hybrid per week car be [tex]x[/tex] and [tex]y[/tex] be the number of gallons used in the pickup truck per week.
Number of miles driven using both vehicles is at least 500 per week. The inequality that represents the number of miles driven is.
[tex]40x+17y\geq 500[/tex]
The expression of total amount of fuel used would be [tex]Z=x+y[/tex].
Now the sum of the fuels used in both the cars is more than 20 gallons per week. The inequality that represents the total amount of gasoline used is
[tex]x+y<20[/tex]
The volume of a cube is 125 cubic inches what is the length of 1 edge of the cube
Answer:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.
Step-by-step explanation:
Mark me as brainliest!
what is the solution to -6(3a+4)=3a-3
Answer:
a = -1
Step-by-step explanation:
-6(3a+4) = 3a-3
-18a-24 = 3a-3
-24+3 = 3a+18a
21a = -21
a = -21 ÷ 21
a = -1
Help brainliest for correct answer
Answer:
14 degrees.
Step-by-step explanation:
I am assuming that the 56 degree angle is at the centre of the circle.
The angle at the top in the circle = 1/2 * 56 = 28 degrees.
The reflex angle = 360 - 56 = 304 degrees.
If we draw a line from the vertex of the 56 degrees angle to the vertex of 28 degree angle we bisect the reflex angle and the 28 degree angle. Also the 2 triangles formed are congruent ( by SSS).
So x = 180 - 1/2 * 28 - 1/2 * 304
= 180 - 14 - 152
= 180 - 166
= 14 degrees.
Can anyone help me please??? Almost done Thank you!!
Answer:
you might’ve already answered this but it’s 65
Step-by-step explanation:
the two sides in a triangle have to be congruent so if one angle is 65, the other has to be 65 too :)
Answer:
65
Step-by-step explanation:
the given triangle is an isoceles triangle and opposite angles of opposite equal sides of isosceles triangle are equal
whats 2+2x (7/7)= to
Answer:
2+2x(7/7)= 0 (you do what's in the parenthesis first)
2+ 2x (1) =0 (then you multiply, and anything times 1 is itself)
2 + 2x= 0 (subtract 2 from both sides to get the x-term alone)
2x= -2 (divide both sides by 2 to get x isolated)
x= -1 (is your answer)
I really need help plz
Answer:
I think answer is A
Step-by-step explanation:
Cause you notice time is the x and distance (meters) is the y. So 1 minute = 200 meters.
Find the distance between the two points in simplest radical form.
(-5,8) and (-3, 1)
Given:
The two points are (-5,8) and (-3,1).
To find:
The distance between the given two points in simplest radical form.
Solution:
Distance formula: The distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between (-5,8) and (-3,1) is
[tex]d=\sqrt{(-3-(-5))^2+(1-8)^2}[/tex]
[tex]d=\sqrt{(-3+5)^2+(-7)^2}[/tex]
[tex]d=\sqrt{(2)^2+(-7)^2}[/tex]
[tex]d=\sqrt{4+49}[/tex]
[tex]d=\sqrt{53}[/tex]
Therefore, the distance between two points (-5,8) and (-3,1) is [tex]\sqrt{53}[/tex] units.
Tickets for a family of 6 to go skiing cost $48. whats the unit price ?
Two brothers, Michael and Alan, were in a bowling league that met once a
week. From past experiences, it is known that both brothers' scores are
approximately normally distributed where Michael has a mean score of 150
with a standard deviation of 30, and Alan has a mean score of 165 with a
standard deviation of 15. Assuming that their scores are independent, which
of the following values is closest to the probability that Michael will have a
greater core than Alan in a single game?
0.16
0.28
0.31
0.33
0.37
Answer:
The correct option is;
0.28
Step-by-step explanation:
The given parameters are;
The mean score for Michael, [tex]\bar x _1[/tex] = 150
The standard deviation, σ₁ = 30
The mean score for Alan, [tex]\bar x _2[/tex] = 165
The standard deviation, σ₂ = 15
Taking n₁ = n₂ = 1
[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Taking μ₁ - μ₂ = 0
[tex]z=\dfrac{(150-165)}{\sqrt{\dfrac{30^{2} }{1}-\dfrac{15^{2}}{1}}} \approx -0.577[/tex]
The p-value for a z-score of -0.577 from the z-table is 0.28434
Therefore, the probability that Michael, with mean score, [tex]\bar x _1[/tex] = 150 will have a greater score than Alan, with a mean score of [tex]\bar x _2[/tex] = 165 is 0.28434 ≈ 0.28
Therefore, the correct option is 0.28
What is the slope of the line represented by 3x - 7y = 28?
How do I solve and respond to this question?
Answer:
i think its 6 and 8
Step-by-step explanation:
sorry if i get it wrong
can you tell me if it is right or wrong
The price of a car has been reduced from $18,500 to $14,800. What is the percentage decrease of the price of the car?
Answer:
125%
Step-by-step explanation:
Una empreza tiene contratadas 75 personas. En las oficinas trabaja el 16% de los hombres y 20% de mujeres, si el total de personas q trabaja en oficinas es de 13 personas ¿Cuantod hombres y cuantas mujeres hay en la empreza?
Answer:
50 hombres y 25 mujeres
Step-by-step explanation:
Sea m el número de hombres y w el número de mujeres.
El total es 75
Así; m + w = 75 •••••••• (i)
Además; 16% de m + 20% de w = 13
0,16 m + 0,2 w = 13
Multiplicar por 100
16m + 20w = 1300 ••••• (ii)
De i, m = 75-w 16 (75-w) + 20w = 1300
1200 - 16w + 20w = 1300
4w = 1300-1200
w = 100/4 w = 25
Recordar; w + m = 75
25 + m = 75
m = 75-25
m = 50
Two candidates ran for class president. The candidate that won received 60% of the 380 total votes. How many votes did the winning candidate receive?
this all my points pls dont troll;-;
Answer: 228
Step-by-step explanation:
10% of 380 is 38.
The winning candidate got 60% of the votes.
So, we will multiply 38 by 6.
38 x 6 = 228
The answer to the question is 228.
convert 18 1/10 into a decimal.
Answer:
the answer is 18.1 1/10 is the same thing as .1
If a population grows by 69%, what is the multiplier?
I can't figure out d - 11
Answer: d = 17
Step-by-step explanation:
d - 11 = 6
So, by adding 11 to each side you'd get rid of the -11 on the left and isolate the variable
d = 17