[tex]\text{Hey there!}[/tex]
[tex]\text{3x}>\text{96}[/tex]
[tex]\text{You have to DIVIDE by 3 on BOTH OF YOUR SIDES.}[/tex]
[tex]\dfrac{3\text{x}}{3}>\dfrac{96}{3}[/tex]
[tex]\text{Cancel out: }\dfrac{3\text{x}}{3}\text{ because it equals to 1}[/tex]
[tex]\text{Keep: }\dfrac{96}{3}\text{ because it helps us solve for our answer, to compare}[/tex] [tex]\text{both numbers.}[/tex]
[tex]\text{96}\div3\text{ = 32}[/tex]
[tex]\boxed{\boxed{\bf{Answer:x > 32}}}\checkmark[/tex]
[tex]\text{It's a}[/tex] [tex]\text{(o)(p)(e)(n)(e)(d) circle shaded to the right side of the number line}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Answer:
x>32
Step-by-step explanation:
Divide by 3 from both sides of equation.'
3x/3>96/3
Simplify, to find the answer.
96/3=32
x>32 is the correct answer.
I hope this helps you, and have a wonderful day!
Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked 0.85 miles.
Round each distance to the nearest tenth of a mile.
About how much further did Molly walk than her brother and sister combined?
a) about 1.4 miles
b) about 1.2 miles
c) about 2.4 miles
d) about 2.2 miles
____________________________________________________
Answer:
Your answer would be a) about 1.4 miles
____________________________________________________
Step-by-step explanation:
In order to solve this problem, we're going to need to round to the tenths place.
The tenths place is the decimal place to the right of the decimal.
Example: 0.54 --- 5 would be in the tenths place.
We would use the number next to it to see if we're going to round up or stay the same.
3.45 --- 4 is in the tenths place. When we look at the number next to it, 5, we would notice that it's big enough to make 4 round up. You would round 4 up to 5.
Your decimal should look like this: 3.5
1.23 --- 2 is in the tenths place. When you look at the number next to it, 3, it's not big enough for us to round it up, so we would keep the number 2 the same.
Your decimal should look like this: 1.2
0.85 --- 8 is in the tenths place. When you look at the number next to it, 5, you would see that it's big enough for you to round up, so you would round the 8 to a 9.
Your decimal should look like this: 0.9
Our rounded decimals:
3.5
1.2
0.9
Now, we have our rounded decimals. We're going to need to find how much Molly walked more than her sister and brother.
Molly walked 3.5
Her sister walked 1.2
Her brother walked 0.9
To solve that question, we would get 3.5 and subtract it with the rest of the numbers, since we are subtracting Molly's walk length to her brother and sister's combined walked length.
[tex]3.5 - 1.2-0.9= 1.4[/tex]
You should get 1.4
Therefore, Molly walked 1.4 miles more than her sister and brother combined.
A). about 1.4 miles should be your FINAL answer.
____________________________________________________
Bag A contains 3 white marbles and 2 red marbles. Bag B contains 6 white marbles and 3 red marbles. A person draws
one marble from each bag. Find the probability that both marbles are white.
2/5
3/5
9/14
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Bag A:
White = 3
Total = 3 White + 2 Red = 5
Prob (white marble from A) = [tex]\frac{3}{5}[/tex]
Bag B:
White = 6
Total = 6 White + 3 Red = 9
Prob (white marble from B) = [tex]\frac{6}{9}[/tex]
Prob (white from Bag A and white from Bag B)
= Prob (white marble from A) x Prob (white marble from B)
= [tex]\frac{3}{5}[/tex] x [tex]\frac{6}{9}[/tex]
= [tex]\frac{2}{5}[/tex]
Base your answer to the question on the diagram shown below.
What is the probability of a dart (thrown at random) landing in the area marked F?
The probability of a dart (thrown at random) landing in the area marked F is:
1/16
Step-by-step explanation:We know that the probability of an outcome is defined as the chance of occurrence of an outcome and it is calculated as the ratio of number of favorable outcomes to the total number of outcomes.
We first make equal sections i.e. we divide the figure into equal sections and observe that:
A and D is made up of 4 sections.
B,C and E is made up of 2 sections.
F and G are made up of 1 section.
This means that the total number of sections are: 4+4+2+2+2+1+1=16
Hence,
Probability(landing on F)=1/16
( Since there are total 16 sections and F is made up of 1 )
a rectangular solid that is 6mm long,4mm wide and 8mm high (find volume)
Answer:
192 mm
Step-by-step explanation:
Volume of rectangle = L * B * H
= 6 mm * 4 mm * 8 mm
= 192 mm
PLEASE DO MARK ME AS BRAINLIEST UWU
Solve the equation 3x - 13y = 2 for y.
Answer:
[tex]y = \frac{3}{13}x-\frac{2}{13}[/tex]
Step-by-step explanation:
Move 3x to the other side, since 3x is being moved to the other side the sign will change from a positive to a negative
[tex]-13y = -3x+2[/tex]
Divide both sides by 13
[tex]y = \frac{3}{13}x-\frac{2}{13}[/tex]
Hey there! :)
3x - 13y = 2 ; solve for y.
In order to solve for y, we must isolate it by getting it onto its own side. We can do this by subtracting 3x from both sides.
-13y = -3x + 2
Then, divide both sides by -13.
-13y ÷ -13 = (-3x + 2) ÷ -13
Simplify.
y = 3/13x - 2/13
Therefore, [tex]y = \frac{3}{13}x- \frac{2}{13}[/tex]
Hope this helped! :)
jacob bought a total of 9 pizzas for his class party. The amount of large pizzas was twice the amount of medium pizzas .How many large and how many medium pizzas did they buy
Jacob bought 3 medium and 6 large pizzas for his class party, as the large pizzas were twice the amount of medium pizzas and the total number was 9.
Explanation:Jacob bought a total of 9 pizzas for his class party. The condition given is that the amount of large pizzas was twice the amount of medium pizzas. Let's define the number of medium pizzas as x. Therefore, the amount of large pizzas would be 2x. Since the total number of pizzas is 9, we can write the equation x + 2x = 9. Adding the terms together gives us 3x = 9. Dividing both sides of the equation by 3, we find that x = 3. This means Jacob bought 3 medium pizzas and 2 times 3, which is 6 large pizzas for his class party.
Which of the following represents the factorization of the trinomial below?
8x^2 + 10x+ 3
A. (4x+3)(2x + 3)
B. (4x+3)(2x+1)
C. (4x + 1)(2x + 3)
D. (4x+ 2)(3x + 1)
The correct factorization of the trinomial 8x^2 + 10x+ 3 is option B that is (4x+3)(2x+1).
What is factorization?
It means writing several factors usually of smaller or simpler objects of the same kind.
How to do factorization?
We have been given the following trinomial.
[tex]8x^{2} +10x+3[/tex]
We need 2 numbers in between which when multiplied gives 24 and when adds give 10. The required numbers are 6 and 4.
So,
[tex]8x^{2}[/tex]+6x+4x+3
2x(4x+3)+1(4x+3)
(2x+1)(4x+3)
Hence the required factorization is (2x+1)(4x+3).
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Select all that apply.
Classify the triangle.
scalene
isosceles
equilateral
equiangular
obtuse
right
acute
Answer:
Equilateral, equiangular, acute
Step-by-step explanation:
Since it is an equilateral angle, then it is equiangular and its legs are congruent. Since it has no angle greater than 90º then it is not obtuse. As all angles sizes 60º their measure are equal to under to 90º, this triangle is an acute one. No 90º angle no right angle.
So, in short.
This is a(n)
Equilateral, equiangular and acute
factor -24a^3b^3c^3 - 84a^4b^2c
The answer to your question is b.
1
2.1.3 Quiz: What is a Function?
Question 7 of 10
2 Ports
The amount of time it takes to complete a reading assignment might be a
function of which of the following?
O
A. The cost of the book
O
B. The year the book was published
O
C. The number of pages in the assignment
Answer:
C. The number of pages in the assignment.
A function is an expression that defines the relationship between two variables. The amount of time it takes to complete a reading assignment might be a function of the number of pages in the assignment. So, option C is correct.
What is a function?A function is an expression, that states the relationship between the variables in that expression.
Ley m and n are two variables and are related to each other with a function, f(m) = n.
So, the variable m is called the independent variable and the variable n is called the dependent variable.
Given statement:The given statement is "The amount of time it takes to complete a reading assignment might be a function of-"
From the options,
cost of the variable does not affect the time required to read and the year of publishing also does not affect the time required to read. But the number of pages in the assignment affects the time required to read. As the number of pages increases, the time required to read them also increases, and as the number of pages decreases, the time required to read them also decreases.So, here the time is a dependent variable, and the number of pages in the assignment will be the independent variable.
Thus, option c is correct.
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Does anyone know this answer to this questions
ANSWER
-4.0
EXPLANATION
The given trigonometric equation is
[tex] \tan \: 45 \degree - 10 \: \cos \: 60 \degree[/tex]
From special angles or using the unit circle.
[tex]\tan \: 45 \degree = 1[/tex]
[tex] \cos \: 60 \degree = \frac{1}{2} [/tex]
We make the substitution to get:
[tex]1 - 10 ( \frac{1}{2} ))[/tex]
This simplifies to:
[tex]1 - 5 = - 4[/tex]
Hence the correct answer is -4.0
f(x)x^2-2x and g(x)=6x+4 for which value of x does (f+g)(x)=0
Answer:
(f+g)(x)
Step-by-step explanation:
(f+g)(x)=
[tex] {x}^{2} - 2x + 6x + 4 = {x}^{2} + 4x + 4[/tex]
[tex](x + 2)(x + 2) = 0[/tex]
[tex](x + 2) = 0 \\ x = - 2[/tex]
milk and cream are mixed together for a recipe. the total volume of the mixture is 1 cup. if the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?
Answer:
answer is 1/4 cup
Step-by-step explanation:
Answer:
Amount of cream in cups [tex]=\frac{1}{4}[/tex]
Step-by-step explanation:
Let x be the amount of cream in cups.
Amount of milk = 1 - x cups.
The milk contains 2% fat and cream contains 18% fat.
The mixture contains 6% fat, so we have
[tex]1 \times \frac{6}{100}=x \times \frac{18}{100}+(1-x) \times \frac{2}{100}\\\\6=18x+2-2x\\\\16x=4\\\\x=\frac{1}{4}[/tex]
Amount of cream in cups [tex]=\frac{1}{4}[/tex]
Aretha wanted to gather data about the cost of local bowling leagues in her area. She plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20.
Identify and interpret the y-intercept in this model.
The y-intercept is 20. This is the cost per month.
The y-intercept is 20. This is the cost of registration.
The y-intercept is 15. This is the cost of registration.
The y-intercept is 15. This is the cost per month.
Answer:
B
Step-by-step explanation:
Answer: Option B) The y-intercept is 20. This is the cost of registration.
Given model is: y = 15x + 20.
We compare this equation with y = mx + b.
So,
the slope = m = 15.
y-intercept = b = 20.
Given: The cost consist of a one-time registration fee. It means the fixed cost is the one-time registration fee. It will also be the y-intercept.
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The list shows the final exam grades for Ms. Gold's math class. Make a stem-and-leaf plot for the data.
66,98,92,91,69,55,53,90,67,74,57,58,60,59,86,92,63,55,51,84
To create a stem-and-leaf plot, first, we need to organize the data into stems (tens digit) and leaves (ones digit). For the given data, we can organize it as follows:
How to solveStem | Leaf
5 | 1 3 5 5 7 8 9
6 | 0 3 6 7 9
7 | 4
8 | 4 6
9 | 0 1 2 2 8
The data is then demonstrated by a stem-and-leaf plot as follows:
51, 53, 55, 55, 57, 58, 59, 60, 63, 66, 67, 69, 74, 84, 86, 90, 91, 92, 92, 98
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Find the value of x to the nearest tenth.
11.0
12.9
-10.0
-6.3
I just took a quiz with this question. I got 100% and my answer to this question was 11.0.
Final answer:
To find x to the nearest tenth in the given numbers, move the decimal point ten places to the left to get -10.0.
Explanation:
Move the decimal point ten places to the left to get 0.00000000067.
When dividing by powers of 10, shift the decimal to the left by the number of zeros in the power of ten.
To find x to the nearest tenth in 11.012.9-10.0-6.3, the result would be -10.0.
Say your car doesn’t run on straight gasoline and you have to mix the oil with gas together in a specific ratio of 2.4 fl oz of oil for every gallon of gasoline. If you have 1.5 gallons of gas, how much oil should you add?
Answer:
3.6 fl oz
Step-by-step explanation:
figure out the percentage of the gallon that was used in the original ratio, in this case 1 that was used in 1.5. thats 150%
so no multiply 2.4 by 1.5 to get 3.6
to check work divide both ratios and see if its the same number (i checked)
For 1.5 gallons of gasoline, you should add 3.6 fluid ounces of oil to maintain the required ratio of 2.4 fl oz of oil per gallon of gas.
To calculate how much oil is needed for 1.5 gallons of gasoline when the mixture requires 2.4 fl oz of oil per gallon of gasoline, one can use a simple proportion:
2.4 fl oz oil / 1 gallon of gas = x fl oz oil / 1.5 gallons of gas
Solve for x to find the amount of oil needed for 1.5 gallons of gas:
x = 2.4 fl oz oil * 1.5 gallons of gas
We can multiply 2.4 fl oz by 1.5 to get the amount of oil:
x = 3.6 fl oz oil
Therefore, you should add 3.6 fluid ounces of oil to your 1.5 gallons of gasoline to achieve the correct mixture.
Vertical angles are congruent. Two nonadjacent angles formed by two intersecting lines are vertical angles.
Answer:
A
Step-by-step explanation:
If two nonadjacent angles formed by two intersecting lines = Vertical angles= congruent
Then
Two non adjacent angles formed by two intersecting lines are congruent
Answer:
a
Step-by-step explanation:
Two non adjacent angles formed by two intersecting lines are vertical angles.
A deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami.
Write and solve an equation to show what percent of sandwiches sold were pastrami.
Drag tiles to complete the equation. Tiles may be used once or not at all.
303640455490
p •
= 36
p =
%
Answer: 40%
Step-by-step explanation:
You can set up a ratio to help you solve the problem. See the paper attached. (:
The percentage of pastrami sold was 40 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Number of sandwiches sold in one day = 90
Number of pastrami in 90 sandwiches = 36
To calculate the percentage of pastrami in sandwiches , we divide the total number pastrami to the total number of sandwiches and multiply by 100
So , percentage of pastrami = ( 36 / 90 ) x 100 %
= ( 4 / 10 ) x 100 %
= 4 x 10 %
= 40 %
Hence , The percentage of pastrami sold was 40 %
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Need answer ASAP please! X=
1
3
7
Answer: i believe its 3
Step-by-step explanation:
Answer:
The correct answer is second option
3
Step-by-step explanation:
From the figure we can see that, a circle.
The two lines from a point cut the circle.
To find the value of x
From the figure we can write, the products of parts of line segments are equal.
Therefore,
4 * 9 = x * 12
x = (4 * 9)/12
= 3
Therefore the correct answer s second option
x = 3
What is the length of side BD?
Answer: 26.1
Step-by-step explanation:
[tex]cos\theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos(40^o)=\dfrac{20}{BD}\\\\\\BD=\dfrac{20}{cos(40^o)}\\\\\\BD=26.1[/tex]
jane and ben share a lottery win in the ratio 7:3, if Jane's share of the money is $5600, how much does ben recieve
Let the Total Amount of money won in Lottery be : L
Given - Jane and Ben share the Lottery in the Ratio 7 : 3
[tex]\implies \mathsf{Jane\;share\;of\;money = \left(\dfrac{7}{7 + 3}\right) \times L}[/tex]
[tex]\implies \mathsf{Jane\;share\;of\;money = \dfrac{7L}{10}}[/tex]
Given : Jane's share of money is $5600
[tex]\mathsf{\implies \dfrac{7L}{10} = 5600}[/tex]
[tex]\mathsf{\implies L = \dfrac{56000}{7}}[/tex]
[tex]\mathsf{\implies L = 8000}[/tex]
[tex]:\implies[/tex] Total Lottery Money = $8000
[tex]\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{7 + 3}\right) \times 8000}[/tex]
[tex]\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{10}\right) \times 8000}[/tex]
[tex]\implies \mathsf{Ben's\;Share = \left(3 \times 800\right)}[/tex]
[tex]\implies \mathsf{Ben's\;Share = 2400}[/tex]
Answer : Ben received $2400
Answer:
Ben's share = $2400
Step-by-step explanation:
Ratio = 7:3
Jane's share = 7x
Ben's share = 3x
7x = 5600
x = 5600/7 = $ 800
Ben's share = 3x = 3*800 = $2400
Which equation has a constant of proportionality equal to 9?
Choose 1 answer:
Answer:
(B). [tex]y=9x[/tex]
Step-by-step explanation:
We have been given 4 equations. We are asked to choose an equation which has constant of proportionality equal to 9.
We know that two proportional quantities are in form [tex]y=kx[/tex], where k is constant of proportionality.
(A). [tex]y=\frac{81}{3}x[/tex]
[tex]y=27x[/tex]
We can see that value of k is 27, therefore, option A is not a correct choice.
(B). [tex]y=9x[/tex]
We can see that value of k is 9, therefore, option B is the correct choice.
(C). [tex]y=3x[/tex]
We can see that value of k is 3, therefore, option C is not a correct choice.
(D). [tex]y=\frac{1}{9}x[/tex]
We can see that value of k is 1/9, therefore, option D is not a correct choice.
Can somebody help me answer questions 1-5pls!!!
What is the value of y?
For this case we have by definition, that the sum of the internal angles of a triangle is 180 degrees.
Then, according to the figure we have to:
[tex]x + y + y = 180[/tex]
Where "x" represents the angle of the left side of the triangle, we have that "x" is given by:
[tex]x = 180-114\\x = 66[/tex]
So we have to:
[tex]66 + 2y = 180\\2y = 180-66\\2y = 114\\y = \frac {114} {2}\\y = 57[/tex]
Finally, "y" is equal to 57 degrees.
Answer:
Option C
The value of y in the triangle is,
⇒ y = 57 degree
For this case we have by definition, that the sum of the internal angles of a triangle is 180 degrees.
Then, according to the figure we have to:
⇒ x + y + y = 180
Where "x" represents the angle of the left side of the triangle, we have that "x" is given by:
x = 180 - 114
x = 66 degree
So we have to:
66 + 2y = 180
2y = 180 - 66
2y = 114
y = 57 degree
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What is nine plus nine? I mean what does it equal?
Answer:
18
Step-by-step explanation:
9 + 9 = 18
Answer:
It equals 18.
Step-by-step explanation:
Nine is worth 9 1's.
Nine is also worth 9 1's.
So if you count up all the 1's, it will equal 18.
An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating area as shown in the plan view below..
Use the following formulae:
Perimeter of a rectangle = 2l + 2w
Circumference of a circle = πd
π = 3.14
Area of a rectangle = lw
Area of a circle = πr²
What is the total perimeter of the pitch and seating area?
m
What is the total area of the pitch and seating area?
m2
Answer:
Perimeter: 174.8 m
Area: 1,394 sq m
Step-by-step explanation:
First, the perimeter.
Before we start, let's calculate the circumference of the half-circles at the ends of the field.
The measurement says 2,000 cm, so let's convert it to 20 m for ease.
Circumference of a circle: πd, where d = diameter.. in our case d = 20 m
Circumference of a 20m diameter circle: 20π = 62.8 m
We have 2 half circles... so the perimeter of each half-circle will be: 31.4 m
We also have 800 cm measurement for the "height" of the seating areas... let's convert that in 8 m
We also need to find out the space between the seating area... We know the whole rectangular pitch is 40 m, then we have to subtract the width of both seating areas (20 and 15 m)... so the space between them is 5m
So, starting with the upper left corner of the rectangular pitch, and working our way clockwise, we encounter the following lengths:
P = 40 + 31.4 + 8 + 10 + 8 + 5 + 8 + 25 + 8 + 31.4 = 174.8 m
The total perimeter is then of 174.8 m
For the area, we need to calculate the area of all forms:
Large rectangular pitch:
LR = 40 x 20 = 800 sq m
The two half circles, form a circle, so A = πr², where r is the radius, which is half the diameter.
AC = π (10)² = 100 π = 314 sq m
Then the seating areas:
SA1 = 25 x 8 = 200 sq m
SA2 = 10 x 8 - 80 sq m
Then, we add up everything:
TA = LR + AC + SA1 + SA2
TA = 800 + 314 + 200 + 80 = 1,394 sq m
in the parallelogram, angle QRP = 32 and angle PRS = 84. find angle PQR.
What is the slope of the line y = 3?
Answer here
Answer:
The slope of the line y=3 is 0
Step-by-step explanation:
We need to find the slope of the line y =3
the general form of the equation is
y = mx+b
where m is the slope and b is the y-intercept.
Looking at the given equation
y=3
We can write it as
y =0(x) + 3
So, the slope of the line y=3 is 0
Answer:
The slope is 0
Step-by-step explanation:
Note that [tex]y = 3[/tex] is the equation of a horizontal line that intersects the y-axis at point (0, 3).
The slope of a line is a measure of how the variable y varies when x increases or decreases. In this case, the variable y always has the same value. Therefore the slope is zero.
All horizontal lines have slope [tex]m = 0[/tex]
What is the value of h in the diagram below? If necessary, round your answer to the nearest tenth of a unit
PLS HELP ASAP
Answer:
Value of h is 4.5 unit.
Step-by-step explanation:
Given:
MO = 12 and PO = 2
∠N and ∠p are right angle
To find: Value of h.
In ΔMNO and ΔONP
∠MNO = ∠OPN = 90°
∠MON = ∠NOP ( common angle)
⇒ ΔMNO and ΔONP are similar triangle by AA Similiarity criteria.
Corresponding part of similar triangles are ,
∠OMN = ∠ONP
[tex]\frac{OM}{ON}=\frac{MN}{PN}=\frac{ON}{OP}[/tex]
Consider,
[tex]\frac{OM}{ON}=\frac{ON}{OP}[/tex]
[tex]OM\times OP=ON^2[/tex] .................(1)
Now in ΔONP,
using Pythagoras Theorem
ON² = NP² + OP²
ON² = h² + 2²
ON² = h² + 4 .............(2)
From (1) and (2), we have
12 × 2 = h² + 4
h² = 24 - 4
h² = 20
[tex]h=\sqrt{20}[/tex]
[tex]h=2\sqrt{5}[/tex]
h = 2 × 2.236 ( Value of √5 is 2.236 )
h = 4.472
h = 4.5 unit
Therefore, Value of h is 4.5 unit.