Answer:
Since the Crayola box contains more markers that should be the right choice.
Step-by-step explanation:
In order to calculate the number of markers each box contains, we need to divide the width of the box by the width of the markers for each box and compare their numbers. Since the lengths are given in mixed fractions, we will first convert them to pure fractions.
For Crayola:
[tex]\text{box width} = 2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \text{ inches}[/tex]
[tex]n = \frac{\frac{11}{4}}{\frac{1}{4}} = 11[/tex]
For the Sharpie:
[tex]\text{box width} = 3 + \frac{3}{5} = \frac{15}{5} + \frac{3}{5} = \frac{18}{5} \text{ inches}[/tex]
[tex]n = \frac{\frac{18}{5}}{\frac{4}{10}} = \frac{18*10}{5*4} = \frac{180}{20} = 9[/tex]
Since the Crayola box contains more markers that should be the right choice.
To plot the point (5, -3) you would move up 5, then left 3.
True
False
Hey there! :)
Answer:
False.
Step-by-step explanation:
In a point, the coordinates are in the format:
(x, y).
In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:
Move right 5, down 3.
Answer:
False
Step-by-step explanation:
To plot the point (5, -3) you would move right 5, then down 3.
X+ y = 9
X- y = 7
O A. (16, -7)
O B. (8, 1)
O C. (12,-3)
D. (7,0)
Answer:
B. (8,1)
Step-by-step explanation:
x+y=9
x-y=7
x=7+y
Therefore in the equation x+y=9 , x=7+y
(7+y)+y=9
7+2y=9
2y=9-7
2y=2
y=2/2=1
therefore x=7+y
=7+1=8
The solution of the system of equation are,
⇒ (8, 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
System of equations are,
x + y = 9 .. (i)
x - y = 7 .. (ii)
Now, We can simplify as;
From (i);
x = 9 - y
Put in (ii);
x - y = 7
9 - y - y = 7
9 - 2y = 7
9 - 7 = 2y
2y = 2
y = 1
From (i);
x = 9 - y
x = 9 - 1
x = 8
Thus, The solution of the system of equation are,
⇒ (8, 1)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Solve for x: 2000=5000e^4x
Answer:
x = -0.23
Step-by-step explanation:
2000=5000e^4x
=> e^4x = 2000/5000 = 2/5
taking the natural logarithn on LHS and RHS
ln e^4x = ln2/5
=> 4x lne = ln2/5
we know ln e = 1, also ln a/b = lna - ln b
ln 2 = 0.693, ln 5 = 1.609
4x = ln2 - ln5
4x = 0.693 - 1.609
x = -0.916/4 = -0.229
Thus, x = -0.23 rounded to two decimal place.
Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.
Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.
Let
A
AA be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and
B
BB be the event that he selects an outfit with a black shirt.
The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
The probability of the white shirt and the gray slack is;
[tex]\rm P(A) = \frac{1}{6}[/tex]
The probability of the outfit with the black shirt is;
[tex]\rm P(B) = \frac{F(S)}{T(S)} \\\\ \rm P(B) = \frac{5,6}{1,2,3,4,5,6)} \\\\ \rm P(B) ==\frac{2}{6} \\\\ P(B) = \frac{1}{3}[/tex]
The probability that the no favorable outfit with the white shirt and black is;
P(A∩B)=0
The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt is found by the formula;
P(A or B)= p(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=P(A)+P(B)-P(A∩B)
[tex]\rm P(A \ U \ B)= \frac{1}{6}+\frac{2}{6} -0 \\\\\ P(A \ U \ B)=\frac{1}{2}[/tex]
Hence, the probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].
To learn more about the probability, refer to the link;
brainly.com/question/1210781
#SPJ2
The probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.
We have to given that,
Mark is going to an awards dinner and wants to dress appropriately.
And, Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie.
Since, There are six possible outfits, and we want to find the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt.
We can use the addition rule of probability:
P(A or B) = P(A) + P(B) - P(A and B)
where P(A) is the probability of selecting an outfit with a white shirt and grey slacks,
P(B) is the probability of selecting an outfit with a black shirt, and
P(A and B) is the probability of selecting an outfit with both a white shirt and grey slacks, and a black shirt.
From the six possible outfits, there is one outfit with a white shirt and grey slacks, and one outfit with a black shirt, so:
P(A) = 1/6
P(B) = 1/6
There is no outfit that satisfies both events A and B, so:
P(A and B) = 0
Therefore:
P(A or B) = P(A) + P(B) - P(A and B)
= 1/6 + 1/6 - 0
= 1/3
So, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ6
Complete question is,
Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.
Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.
Let A be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and B be the event that he selects an outfit with a black shirt.
What is P (A or B) , P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?
Multiple (2x+1)(x-5)
Answer:
2x² - 9x - 5
Step-by-step explanation:
Step 1: FOIL
2x² - 10x + x - 5
Step 2: Combine like terms
2x² - 9x - 5
Answer:
2x^2−9x−5
Step-by-step explanation:
(2x+1)(x−5)
=(2x+1)(x+−5)
=(2x)(x)+(2x)(−5)+(1)(x)+(1)(−5)
=2x^2−10x+x−5
=2x^2−9x−5
A car travels at 60 miles per hour. If d is the distance traveled and t is the time in hours:
Write a function for the distance traveled d in t hours.
What is the dependent variable?
What is the independent variable?
Make a table with at least 5 coordinate pairs.
Graph the coordinate pairs and draw the function
The first one to answer with explanation get 100 pts and brainliest..
Answer:
Step-by-step explanation:
first we will break the parts of the question down:
d= distance
t= time
function: d=t(60)
the independent variable is t, time, because the (distance) that the car travels depends on how long the car has been traveling for (time) meaning that the dependent value is distance.
A table we can create with 5 coordinate pairs is:
(time) (distance)
1 hr 60miles
2 hr 120 miles
3 hr 180 miles
4 hr 240 miles
5 hr 300 miles
(to graph the coordinate pairs, you can graph the points listed in the table. the time value represents the x value since it is the independent variable, and the y value will be the distance values since it is dependent.)
the volume of a sphere is 4000 pi m^3. what is the surface area of the sphere to the nearest square meter? A. 2,614m^2 B. 3,836m^2 C. 1,307m^2 D. 794m^2
Answer:
A. 2614 m^2 to the nearest square meter.
Step-by-step explanation:
Volume of the sphere
= 4/3 pi r^3 = 4000 pi
4/3 r^3 = 4000
r^3 = 4000 * 3/4 = 3000
r = ∛(3000)
The surface area
=4 pi r^2
= 4 * pi * (∛(3000)^2
= 4 * pi * 208.008
= 2613.91 m^2.
Determine the points for the graph of the relation
x=2y2 + 6 using the y-values given in the table.
A. (-2, 14), (-1,8), (0, 6), (1,8), (2, 14)
B. (14,-2), (8, -1), (6,0), (8, 1), (14, 2)
C. (8,-2), (2,-1), (0, 0), (2, 1), (8, 2)
D. (2,-2), (4, -1), (6,0), (8, 1), (10, 2)
Answer:
Option B.
Step-by-step explanation:
The given relation is
[tex]x=2y^2+6[/tex]
At y=-2,
[tex]x=2(-2)^2+6[/tex]
[tex]x=2(4)+6[/tex]
[tex]x=8+6[/tex]
[tex]x=14[/tex]
Similarly,
At y=-1,
[tex]x=2(-1)^2+6=8[/tex]
At y=0,
[tex]x=2(0)^2+6=6[/tex]
At y=1,
[tex]x=2(1)^2+6=8[/tex]
At y=2,
[tex]x=2(2)^2+6=14[/tex]
So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).
Therefore, the correct option is B.
Somebody please prove if a triangle with side length of 6,8,10 is a right triangle using the Pythagorean theorem!! Will mark Brainliest
Help fill in the blanks no
Answer:
Here is the full proof:
AC bisects ∠BCD Given
∠CAB ≅ ∠CAD Definition of angle bisector
DC ⊥ AD Given
∠ADC = 90° Definition of perpendicular lines
BC ⊥ AB Given
∠ABC = 90° Definition of perpendicular lines
∠ADC ≅ ∠ABC Right angles are congruent
AC = AC Reflexive property
ΔCAB ≅ ΔCAD SAA
BC = DC CPCTC
HELP ME PLEASE!!! ASAP!!!!!! What was the average speed of this journey?
Answer:
B
Step-by-step explanation:
Take total displacement and divide by the time it took.
Find the missing segment in the attached image
Answer:
25 units
Step-by-step explanation:
This problem can be solved by using concept of Basic proportionality theorem.
This theorem states that if there is line drawn parallel to any side of the triangle, and it intersect the other two sides, then
segment divided on those two sides are in equal proportion.
Let naem this triangle
the side containing 15 and 6 be AB, with A be point on segment having length 15 units
B be point on segment having length 6 units
c be point on segment having length ? units
DE line parallel to BC
Thus, if apply Basic proportionality theorem. in this then ratio formed will be
15/6 = ?/10
5/2 = ?/10
?= 5/2* 10 = 25
The length of missing segment is 25 units.
PLEASE HURRY Find the measures of the numbered angle
Answer:
90°
Step-by-step explanation:
The sum of the arcs around the circle is ...
2x +4x +4x +2x = 360°
x = 360°/12 = 30°
The numbered angle is the average of the measures of the intercepted arcs, so is ...
(4x +2x)/2 = 3x = 3(30°) = 90°
The numbered angle is 90°.
Please solve yes please
Answer:
h(t) = h₀ + v₀·t + 1/2 g t² with
h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²
4.9 seconds
Step-by-step explanation:
16.087 (t - 2.48648)^2 - 94.5842 = 0
solving as a quadratic equation yields t ≈ 4.9 seconds
Angles F and H are congruent.
Angles c and e are congruent.
Angles a and g are congruent.
Angles f and c are congruent.
Answer:
Last Choice: Angles F and C are congruent
Step-by-step explanation:
Angles F and C are congruent because they are vertical angles.
All other pairs of angles in the choices are not necessarily congruent.
Divide(or reduce) your answer if necessary 12 and 1/4 divide by 1/8
Answer:
98
Step-by-step explanation:
First to do this you must turn 12 and 1/4 into an improper fraction. 12 and 1/4 as an improper fraction is 49/4, as their are 49 1/4s in 12 and 1/4.
Now to divide 49/4 by 1/8, you keep 49/4, turn the division sign into a multiplication sign, and turn 1/8 into 8/1 (flip numerator and denominator)
This turns 49/4÷1/8 into 49/4×8/1. Now to multiply you get 49 × 8 as the numerator and 4 × 1 as the denominator. This ends up being 392/4. You then can simplify by dividing both numbers by 4, and get 98/1 or 98.
Answer: 98
Step-by-step explanation: To divide 12 and 1/4 by 1/8, first write 12 and 1/4 as the improper fraction 49/4.
So we have 49/4 ÷ 1/8.
Now, since dividing by a fraction means the same thing as multiplying by the reciprocal of the fraction, we can rewrite 49/4 ÷ 1/8 as 49/4 × 8/1.
Before multiplying however, always try to cross-cancel.
In this problem, the 4 and 8 cross-cancel to 1 and 2.
So we have 49/1 × 2/1 which is 98/1 or 98.
Please help i will mark brainliest!
Describe how to transform the graph of f(x) = x² to obtain
the graph of the related function g(x) = f(–4x – 3)) + 1.
Then draw the graph of g(x).
Answer:
The functions given are:
f(x) = x²
g(x) = f(-4x-3) + 1
First, find f(-4x-3):
f(x) = x²
f(-4x-3) = (-4x-3)²
Find g(x):
g(x) = f(-4x-3) + 1
g(x) = (-4x-3)² + 1
g(x) = (-1)² (4x+3)² + 1
g(x) = (4x+3)² + 1
First take
y = (x)²
Compress the graph along x axis by multiplying x with 4
y = (4x)²
Shift the graph left by 0.75 units, by adding 3 to x term.
y = (4x+3)²
Shift the graph up by 1 unit by adding 1 to the total terms.
y = (4x+3)² +1
explain rate of change in graphs
Answer:
change in y
over
change in x
---------------------------------------
please make me brainliest
15 points, 5 stars and thanks will be your reward if you answer this question correctly: a(7x+2)=bx+8 a and b are both integers. What is the value of b?
Answer:
b = 28
Step-by-step explanation:
Given
a(7x+2)=bx+8
=> 7ax + 2a = bx + 8
in both the equation there is a term containing x and a term not containing x.
since value of both equation is equal. hence
term containing x on both side will be equal to each and
term independent of x will be equal in both the equation
thus
7ax = bx
2a = 8
=> a = 8/2 = 4
now, plugging a = 4 in 7ax = bx
7*4x = bx
=> b = 7*4x/x = 28.
Thus, value of b is 28.
PLSSS HELPPPP!!! Find all real zeros and complexof each equation f(x)=(x^2+4)(x^2-9)
Answer:
x = ± 3, x = ± 2i
Step-by-step explanation:
Given
f(x) = (x² + 4)(x² - 9)
To find the zeros let f(x) = 0, that is
(x² + 4)(x² - 9) = 0
Equate each factor to zero and solve for x
x² - 9 = 0 ( add 9 to both sides )
x² = 9 ( take the square root of both sides )
x = ± [tex]\sqrt{9}[/tex] = ± 3
x² + 4 = 0 ( subtract 4 from both sides )
x² = - 4 ( take the square root of both sides )
x = ± [tex]\sqrt{-4}[/tex] = ± [tex]\sqrt{4(-1)}[/tex] = ± [tex]\sqrt{4}[/tex] ×[tex]\sqrt{-1}[/tex] = ± 2i
Thus zeros are
x = - 3, x = 3 ← real
x = - 2i, x = 2i ← complex
A swimming pool measures 35 feet by 50 feet long. What is the ratio of the length to the length to the perimeter in simplest form?
Answer:
7:10:34
Step-by-step explanation:
1. Ratio outline:
Length 1:Length 2:Perimeter
2. Length 1 = 35 feet
3. Length 2 = 50 feet
4. Perimeter = Length of all sides
- Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170
5. Substitute the values into the ratio outline:
35:50:170
6. Convert into simplest form: Divide by greatest common factor (5)
7:10:34
Find the measures of the supplementary angles that satisfy each case. m∠1:m∠2=5:4
Answer:
100 and 80 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees. Here we are to find two such angles that are in the ratio 5:4. To do this, we set up and solve the following equation:
5x + 4x = 180, or
9x = 180, or
x = 20.
Then one angle is 5(20) and the other is 4(20), or 100 and 80.
Note that these two angles add up to 180 degrees, as they must.
The two supplementary angles are 100 and 80 degrees.
Answer:
I apologize for the confusion caused. Let's go through the problem again to determine the correct answer.
We have a police helicopter flying at 120 mph at an altitude of 1.5 miles above a highway. The radar detects an oncoming car at a distance of exactly 3 miles from the helicopter, and this distance is decreasing at a rate of 190 mph.
To find the speed of the car, we need to consider the relative motion between the car and the helicopter. From the perspective of the helicopter, the car's speed is the sum of its own speed and the rate at which the distance is decreasing.
Let's denote the speed of the car as "v_car" and the speed of the helicopter as "v_helicopter." The relative speed between the car and the helicopter is the difference between the two speeds, given by:
Relative speed = v_car - v_helicopter
Since the distance between the car and the helicopter is decreasing at a rate of 190 mph, the relative speed is -190 mph (negative because the car is approaching the helicopter).
However, since we want to find the speed of the car, we need to consider the magnitude of the relative speed. Taking the absolute value, we have:
|Relative speed| = |v_car - v_helicopter| = |-190|
Now, let's solve for the speed of the car:
|v_car - 120| = 190
We can solve this equation by considering two cases:
Case 1: v_car - 120 = 190
v_car = 190 + 120
v_car = 310 mph
Case 2: -(v_car - 120) = 190
-v_car + 120 = 190
v_car = 120 - 190
v_car = -70 mph
Since speed cannot be negative, we discard Case 2.
Therefore, the correct answer is that the speed of the car, as detected by the radar, is 310 mph.
THIS QUESTION ANSWERLet's assume that the measure of angle 1 is represented by "x" and the measure of angle 2 is represented by "y". We are given that the ratio of the measures of angle 1 to angle 2 is 5:4. This can be expressed as:
x:y = 5:4
Since the angles are supplementary, the sum of their measures is 180 degrees:
x + y = 180
To solve this system of equations, we can use the ratio given to express one variable in terms of the other. Let's express "x" in terms of "y":
x = (5/4) * y
Substituting this expression for "x" into the second equation:
(5/4) * y + y = 180
Multiplying through by 4 to eliminate the fraction:
5y + 4y = 720
9y = 720
Dividing both sides by 9:
y = 80
Substituting the value of "y" back into the expression for "x":
x = (5/4) * 80
x = 100
Therefore, the measures of the supplementary angles that satisfy the given ratio are angle 1 with a measure of 100 degrees and angle 2 with a measure of 80 degrees.
I am very sorry maybe I did mistake in the previous questions answer so this is the revised ONE and sO please DO SEE once okay !!!
16 2/3 percent of what number is 72
Since the ratios all come out to be the same, that means the triangle are
A) Congruent
B) similar
Answer:
❤similar.........hope its helpful❤I think similar is the correct answer
5
Which graph shows the solution set for zx-352?
-8 -7 -6 -5 4 -3 -2 -1 0 1 2
-8 -7 -6 -5 4 -3 -2 -1 0 1 2
+
-8-7 -6 -5 4 -3 -2 -1 0 1 2
-8-7 -6 -5 4 -3 -2 -1 0 1 2
Answer:
the 2nd one
Step-by-step explanation:
b/c
-5/2x-3≤2
-5/2x≤3+2
-5/2x≤5
-5x≤10
x≥10/-5
x≥-2
The two pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
A. 5.12 mm³
B. 6.66 mm³
c. 7. 14 mm³
D. 8.07 mm³
Answer:
A) 5.12mm³
Step-by-step explanation:
Step 1
Find the volume of the bigger pyramid
This is a triangular based pyramid.
The formula to use is given as Volume of Pyramid =
1/3 × Area of the triangle × Height
Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²
Volume of the large pyramid = 1/3 × 6mm² × 5mm
= 10mm³
We are given the length of the small pyramid as 4mm
We would be using was is known as scale factor to find the volume of the small pyramid
The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³
k = 4³/5³
k = Volume of small pyramid/ Volume of large pyramid
Volume of small pyramid = X
Volume of large pyramid = 10mm³
Hence,
4³/5³ = X/10
Cross Multiply
= 4³ × 10 = 5³ × X
X = (4³ × 10)/ 5³
X = 5.12mm³
Find the similarity ratio of a cube with a surface area of 36 m² to a cube with a
surface area of 81 m2
Answer:
4.9
Step-by-step explanation:
In this case, the ratio of the surface area is equal to the square root of the ratio of surface area ; 6 : 9
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or
[tex]\dfrac{a}{b}[/tex]
The ratio of a cube with a surface area of 36 m² to a cube with a
surface area of 81 m².
The face assumed to be square, hence the area is equal to the square of the length.
36 / 81 = 6 / 9
Learn more about ratio here:
brainly.com/question/186659
#SPJ2
Find the unit price for each size of the peanut butter and determine which size is the better buy? 18 oz- $3.28 22oz-$3.99 28oz-$4.89
Answer:28oz-$4.89 is better deal. It is 17.5 cents per oz.
Step-by-step explanation:
Answer: The best option would be the 28 oz option
Step-by-step explanation:
First you would divide the dollar amount by the amount of ounces to get how much it is per ounce. For the 18 oz jar it is about 0.182 per ounce. For the 22 oz jar it is about .181 per ounce. For the 28 it is about 0.175 per ounce. Therefore the 28 oz is the best option.
Solve the system of linear equations. 3x + y = 9 y − 2x = 4 A) (1, 6) B) (−1, 6) C) (1, −6) D) (−1, −6)
Hey there! :)
Answer:
A) (1, 6)
Step-by-step explanation:
Solve by setting both equations equal to each other. Begin by rearranging each equation to equal y:
3x + y = 9
y = -3x + 9
--------------
y - 2x = 4
y = 2x + 4
---------------
-3x + 9 = 2x + 4
Add 3x to both sides:
-3x + 3x + 9 = 2x + 3x + 4
9 = 5x + 4
Subtract 4 from both sides:
9 - 4 = 5x + 4 - 4
5 = 5x
Divide both sides by 5:
5/5 = 5x/5
x = 1. Substitute 1 into an equation to solve for y:
3(1) + y = 9
3 + y = 9
y = 9 - 3
y = 6.
Therefore, the coordinates of the solution are:
A) (1, 6)
Answer:
[tex]\boxed{OptionA}[/tex]
Step-by-step explanation:
3x+y = 9
y-2x = 4
Subtracting both equations
=> 3x+y-(y-2x) = 9-4
=> 3x+y-y+2x = 5
=> 3x+2x = 5
=> 5x = 5
Dividing both sides by 5
=> x = 1
Now, Putting x = 1 in the first equation
=> 3(1)+y = 9
=> 3+y = 9
=> y = 9-3
=> y = 6
Ordered pair = (x,y) = (1,6)