Answer:
the answer is b.)
Step-by-step explanation:
2×2=4×3=12×3=36
A jar contains 6 blue marbles, 4 yellow marbles, and 10 green marbles. What is the probability of randomly choosing a blue marble, replacing it, and then choosing a yellow marble?
Answer:4 out of 19
Step-by-step explanation:
you add them all and then say 4 because that is yellows amount of marbles
Robert is purchasing some packs of chicken from the supermarket. The first pack weights 45 ounces . The second pack weights 3 pounds . Witch pack weights more
Answer:
3 pounds duh
Step-by-step explanation:
Answer: 3 pounds
Step-by-step explanation: 16 oz are in 1 pound and 1 pound times 3 = 3 pounds and 16 times 3 equals 48 and the pack weighs 45 oz therefore 3 pounds is heavier by 3 oz
Help i don’t understand
Answer:
VERTICAL LINES
Step-by-step explanation:
8 less than 5 times a number
Answer:109
Step-by-step explanation:
The inequality obtained from the given statement; 8 less than 5 times a number is 8< 5x.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.
Such values are called solution to that equation or inequality.
A Set of such values is called solution set to the considered equation or inequality.
Given statement; 8 less than 5 times a number
We know that the 8 is less than 5 times a number So, we first put 8 <.
From the given, we have the value 5 being multiplied by a number, that number can be any variable unless that specifically state which variable to use.
Thus, the inequality;
8< 5x
Hence, The inequality obtained from the given statement; 8 less than 5 times a number is 8< 5x.
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Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon. (5 points)
Pentagon with square measuring 7 inches by 4 inches and two triangles with heights of 6 inches and 5 inches.
Group of answer choices
50 in2
59 in2
85 in2
90 in2
Answer:
59 in2
Step-by-step explanation:
we know that
The area of the polygon is equal to the area of rectangle plus the area of two triangles
so
Find the area of rectangle
[tex]A_1=LW[/tex]
we have
[tex]L=7\ in\\W=4\ in[/tex]
substitute
[tex]A_1=(7)(4)=28\ in^2[/tex]
Find the area of triangle with height of 6 in
[tex]A=\frac{1}{2}bh[/tex]
we have
[tex]b=7\ in\\h=6\ in[/tex]
substitute
[tex]A_2=\frac{1}{2}(7)(6)=21\ in^2[/tex]
Find the area of triangle with height of 5 in
[tex]A=\frac{1}{2}bh[/tex]
we have
[tex]b=4\ in\\h=5\ in[/tex]
substitute
[tex]A_3=\frac{1}{2}(4)(5)=10\ in^2[/tex]
The total area is
[tex]A=A_1+A_2+A_3=28+21+10=59\ in^2[/tex]
Answer:
The answer is 59 in2
Step-by-step explanation:
A big cruise ship dropped anchor off the Caribbean island of Barbuda. The heavy anchor was released from a height of
54
5454 meters above the water's surface, and it fell at a constant rate. After
35
3535 seconds, the anchor was
9
99 meters below the water's surface.
How fast did the anchor drop?
meters per second
How long did it take the anchor to reach the water's surface?
seconds
54+9= 63 m = distance and time=35 sec hence, speed= 63/35=9/5=1.8 m/s
time taken to reach water surface= distance/speed=54/1.8=30 sec
how to solve 5×743=(_×700)+(_×40)+(_×3)
Answer:
Step-by-step explanation:
5*743=(5*700)+(5*40)+(5*3)
some of Helen's plants need water every day, some need water every other day,and others need water every third day. if she waters them all today, how many days will it be before she waters them all again
Answer:
6 days
Step-by-step explanation:
Answer:
Step-by-step explanation:
You have to find the Least common Multiple of 1,2,3
LCM (1,2,3) = 6
at a currency exchange,8 u.s dollars can be exchanged for 6 euros. how many euros will you receive for 1 u.s dollar
You will receive 0.75 euros for 1 U.S dollar.
Explanation:In this currency exchange, you receive 6 euros for every 8 U.S dollars. To find out how many euros you will receive for 1 U.S dollar, you can set up a proportion.
Let x represent the number of euros you will receive for 1 U.S dollar. The proportion can be set up as follows: 8 U.S dollars / 6 euros = 1 U.S dollar / x euros.
Now, cross-multiply and solve for x: 8x = 6 * 1. Divide both sides by 8 to isolate x, and you will find that x = 0.75 euros.
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While visiting Crimson Lake, Sally decided to go Kayaking. The rangers charge $8.50 per hour in addition to a $25.00 deposit to rent the kayak. If she rented the kayak from 11:30 a.m. to 2:30 p.m., write and solve a linear equation to find the total cost to rent the kayak.
The total cost to rent the Kayak will be $50.50
Step-by-step explanation:
Let h be the number of hours
Given
Charges per hour = $8.50
Renting Charges = $25.00
The renting charges are constant and will be used only once while the per hour charges will be calculated as number of hours change.
The function will be written as:
[tex]f(h) = 8.50h +25.00[/tex]
Here h is the number of hours.
From 11:30 AM to 02:30 PM makes three hours. So, to find the cost for 3 hours we have to put h = 3
[tex]f(h) = 8.5(3) + 25.00\\= 25.5+25.00\\= 50.5[/tex]
Hence,
The total cost to rent the Kayak will be $50.50
Keywords: Linear functions,, slope
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Which function represents g(x), a reflection of f(x)=4(1/2)^x
across the x-axis?
Answer:
[tex]g(x)=-4(\frac{1}{2})^x[/tex]
Step-by-step explanation:
Given:
The parent function is given as:
[tex]f(x)=4(\frac{1}{2})^x[/tex]
The function [tex]g(x)[/tex] is a reflection of the parent function about the x-axis.
Now, in order to find the function g(x), we need to use the rules of function transformations.
As per transformation rules, when a function is reflected about the x-axis, the function rule is given as:
[tex]f(x)\to-f(x)[/tex]
So, the new function or the reflected function is the negative of the original function.
Therefore, the reflected function [tex]g(x)[/tex] is given as:
[tex]g(x)=-f(x)\\\\g(x)=-4(\frac{1}{2})^x[/tex]
Hence, the function that represents the reflection of the given function across the x-axis is [tex]g(x)=-4(\frac{1}{2})^x[/tex]
Ms. Plumlee is making brownies. Ms. Sed is making brownies as well. Ms. Plumlee makes 12 brownies per hour. Ms. Sed makes 10 brownies per hour. After 24 hours, how many brownies does Ms. Plumlee and Ms. Sed make each?
Answer:
48
Step-by-step explanation:
After 24 hours, Ms. Plumlee makes 288 brownies and Ms. Sed makes 240 brownies.
Explanation:The mathematics problem involves calculating the total number of brownies made by Ms. Plumlee and Ms. Sed. Ms. Plumlee makes 12 brownies per hour, and Ms. Sed makes 10 brownies per hour. We need to find out the number of brownies each of them makes after 24 hours.
For Ms. Plumlee: 12 brownies per hour x 24 hours = 288 brownies.
For Ms. Sed: 10 brownies per hour x 24 hours = 240 brownies.
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What is the value of log5^{125}?
The value of [tex]\log_5{125}[/tex] is 3.
Solution:
Step 1: Given expression is [tex]log_5{125}[/tex].
125 can be expressed as [tex]5^3.[/tex]
[tex]\log_5{125}=\log_5{5}^3[/tex]
Step 2: Using log rule: [tex]\log_a{x^b}=b\log_a{x}[/tex]
[tex]\log_5{5}^3=3\log_5{5}[/tex]
Step 3: Using log rule: [tex]\log_a{a}=1[/tex]
[tex]\log_5{5}= 1[/tex]
⇒ [tex]3\log_5{5}= 3(1)[/tex]
⇒ [tex]3\log_5{5}= 3[/tex]
∴ [tex]\log_5{125}=3[/tex]
Hence the value of [tex]\log_5{125}[/tex] is 3.
8 2/5 - 5 3/5 need help solving step by step
Answer: 2 and 4/5
Explanation: To subtract mixed numbers, first subtract the fractions. Notice here however that we have 2/5 - 3/5 which will give us a negative fraction. Since this will cause us a lot of trouble, instead, let's rewrite the first mixed number.
We can do this by thinking of 8 and 2/5 as 7 + 1 and 2/5 or 7 + 7/5 by changing 1 and 2/5 to the improper fraction 7/5. So 8 and 2/5 can be written as 7 and 7/5.
So we have 7 and 7/5 - 5 and 3/5.
Now, subtract the fractions. So we have 7/5 - 3/5 which is 4/5. Then subtract the whole numbers so we have 8 - 5 which is 2.
2 and 4/5 is in lowest terms so 8 and 2/5 - 5 and 3/5 is 2 and 4/5.
Roman purchased 2 1/2 pounds of
chocolate covered peanuts for $9.75.
What was the price per
pound?
Answer:
$3.90 is the answer.
Step-by-step explanation:
9.75 ÷ 2.5 = 39/10 (3.9).
To check do 3.9 × 2.5 = 9.75.
Final answer:
To determine the price per pound of chocolate covered peanuts, divide the total cost ($9.75) by the total weight (2.5 pounds), resulting in $3.90 per pound.
Explanation:
The question asks to calculate the price per pound of chocolate covered peanuts Roman purchased.
Here is a step-by-step explanation:
First, it is important to take note of the total weight of the chocolate covered peanuts, which is 2 1/2 pounds or 2.5 pounds.
Next, we look at the total price paid for the 2.5 pounds, which is $9.75.
To find the price per pound, divide the total price by the total weight: $9.75 ÷ 2.5 pounds.
The price per pound turns out to be $3.90.
Therefore, the price per pound of the chocolate covered peanuts is $3.90.
5. An attacker swings a board with a mass of 2 kg toward a victim. The acceleration is 10 m/s2 when the board hits the victim. How much force did the board exert on the victim? Obj. 7.2
The force exerted on victim is 20 newton
Solution:
An attacker swings a board with a mass of 2 kg toward a victim
The acceleration is 10 [tex]m/s^2[/tex] when the board hits the victim
To find: Force exerted on victim
The force is given by formula:
[tex]F = mass \times acceleration[/tex]
From given,
[tex]mass = 2 \text{ kg }\\\\Acceleration = 10[/tex] [tex]m/s^2[/tex]
Substituting the values in formula,
[tex]Force = 2 \times 10 = 20[/tex]
Thus force exerted on victim is 20 newton
A mass of 2 kg and an acceleration of 10 m/s², the force is calculated to be 20 Newtons.
To determine the force exerted by the board on the victim, we can use Newton's second law of motion, which states:
⇒ Force (F) = Mass (m) x Acceleration (a)
Given that the mass of the board is 2 kg and the acceleration when it hits the victim is 10 m/s², we substitute these values into the equation:
⇒ F = 2 kg x 10 m/s²
⇒ F = 20 N
Thus, the board exerts a force of 20 Newtons on the victim.
Complete question:
An attacker swings a board with a mass of 2 kg toward a victim. The acceleration is 10 m/s² when the board hits the victim. How much force did the board exert on the victim?
3 more than twice as many oranges equals 18
Answer:
15/2
Step-by-step explanation:
2x+3=18
2x=18-3
2x=15
x=15/2
When Edna divides $35,286 by 7 using long division, is there is a remainder? If yes, what does the remainder mean?
Answer:
yes, the remainder is 6.
Step-by-step explanation:
the remainder is how many is left over if the divisor doesn't go perfectly into the dividend.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The remainder of the division $35,286 by 7 using long division is 6.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x + 5 = 4 is an expression.
We have,
$35,286 ÷ 7
Now,
7) 35286 ( 540
-35
286
-280
6
7 x 5 = 35
7 x 40 = 280
We see that,
Using long division,
The remainder is 6.
Thus,
The remainder of the division $35,286 by 7 using long division is 6.
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Write an equation in slope-intercept form for the line perpendicular to y=−4x+1 that passes through the point (−7,1)
Answer:
all work is shown and pictured
Final answer:
To find the equation of a line perpendicular to y = -4x + 1 that passes through the point (-7, 1), determine the slope, use the point-slope form, and convert it to slope-intercept form.
Explanation:
To find the equation of a line perpendicular to y = -4x + 1 that passes through the point (-7, 1), we first determine the slope of the perpendicular line. The slope of a line perpendicular to a line with slope m is the negative reciprocal of m. So, the slope is 1/4. Next, we use the point-slope form of a line y - y₁ = m(x - x₁) and plug in the point to find the equation in slope-intercept form, y = mx + b.
Plugging in (-7, 1) and slope 1/4 into the point-slope form, we get y - 1 = (1/4)(x + 7). Simplifying gives us y = (1/4)x + 2. Hence, the equation of the line perpendicular to y = -4x + 1 that passes through the point (-7, 1) is y = (1/4)x + 2.
witch of these is a correct expansion of (3x-1)(4x^2+5)
Answer:
12x^3 - 4x^2 + 15x -5
AB= 7x-6 BC= 12-2x B is the midpoint of AC. Find AB
Answer:
8
Step-by-step explanation:
set 7x-6 = 12-2x because midpoint segments are equal to each other than solve
9x-6=12
9x=18
x=2
then substitute in values.
B is the midpoint of AC. Using this information, we can set up an equation to solve for AB. After solving for x, we substitute the value back into the equation to find AB. The length of AB is 8 units.
Explanation:We are given that B is the midpoint of AC. This means that the lengths AB and BC are equal. We can set up an equation to solve for AB.
AB = BC
7x-6 = 12-2x
Now we can solve for x and then find AB.
Bring like terms together:
7x + 2x = 12 + 6
9x = 18
Divide both sides by 9:
x = 2
Now substitute the value of x back into the equation for AB:
AB = 7(2) - 6
AB = 14 - 6
AB = 8
Therefore, AB is equal to 8 units.
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Mr Miller drove 568 miles last week. This week he drove 308 miles on Tuesday and 97 miles on Wednesday. What was the number of miles he drove in these two weeks?
The number of miles Mr Miller drive was 973 miles.
Step-by-step explanation:
Given,
Miles driven on first week = 568 miles
Miles driven on Tuesday this week = 308 miles
Miles driven on Wednesday this week = 97 miles
Total miles driven = Miles in first week + Miles on Tuesday + Miles on Wednesday
Total miles driven = 568 + 308 + 97 = 973 miles
The number of miles Mr Miller drive was 973 miles.
Keywords: addition
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- Rewrite - 7x +9y = 18 in slope-intercept form. Identify the slope and y-intercept
of the line.
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange - 7x + 9y = 18 into this form
Add 7x to both sides
9y = 7x + 18 ( divide all terms by 9 )
y = [tex]\frac{7}{9}[/tex] x + 2 ← in slope- intercept form
with slope m = [tex]\frac{7}{9}[/tex] and y- intercept c = 2
Dedra is making headband to sell to her friends.Each headbands requires 1 7/8 feets fabric.If dedra plans to make 14 headbands than how much fabric will she need .
Answer:
26.25 feets
Step-by-step explanation:
Given:
Each headbands requires 1 7/8 feets fabric
Dedra has to make 14 headbands .
Question asked:
how much fabric will she need to make 14 headbands = ?
Solution:
By applying unitary method :
Length of fabric require to make a headband = [tex]1\frac{7}{8}[/tex]
= [tex]\frac{15}{8}[/tex]
Length of fabric require to make 14 headbands = [tex]14\times\frac{15}{8}[/tex]
= [tex]\frac{210}{8}[/tex]
= [tex]26.25 feets[/tex]
Therefore, Dedra needs 26.25 feets fabric to make 14 headbands.
Four more than seven times a number is the same as twenty less than three times the number. Find the number
Answer:
-6
Step-by-step explanation:
7x +4=3x-20
4x=-24
x= -6
The given problem can be translated into the equation 7x + 4 = 3x - 20. By solving this equation, we find out that the number x is -6.
Explanation:In this mathematical problem, we can define the number we are looking for as x. Based on the problem, we have the equation 7x + 4 = 3x - 20. This equation comes from the problem statement that 'four more than seven times a number is the same as twenty less than three times the number'.
Next, we can solve for x by subtracting 3x from both sides to get 4x + 4 = -20. Then, to isolate x, we subtract 4 from both sides to get 4x = -24. Finally, we divide by 4 on both sides and find that x = -6, which is the solution.
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If f(x)=2x+5x and g(x)=3x-5,find (f+g)(x)
The answer is [tex](f+g)(x)=10x-5[/tex]
Step-by-step explanation:
Given that [tex]f(x)=2x+5x[/tex] and [tex]g(x)=3x-5[/tex]
To find : [tex](f+g)(x)[/tex]
Now, assign the value [tex]g(x)=3x-5[/tex] in [tex](f+g)(x)[/tex]
[tex](f+g)(x)=(f+3x-5)[/tex]
Also, assign the value [tex]f(x)=2x+5x[/tex] in [tex](f+g)(x)[/tex]
[tex](f+g)(x)=(2x+5x+3x-5)[/tex]
Now, adding the like terms , we get,
[tex](f+g)(x)=10x-5[/tex]
Thus, the value of [tex](f+g)(x)[/tex] is [tex](f+g)(x)=10x-5[/tex]
Answer:
[tex]10x-5[/tex]
Step-by-step explanation:
[tex]f(x)=2x+5x[/tex]
[tex]g(x)=3x-5[/tex]
[tex](f+g)(x)[/tex]
[tex]f(x)+g(x)[/tex]
[tex]2x+5x+3x-5[/tex]
[tex]10x-5[/tex]
GUYS PLEASE HELP I WILL GIVE BRAINLEIST PLEASE GUY NEED THIS THANK YOU
enter the missing numbers in the boxes to complete the table of equivalent ratios.
length width
? 5
4 ?
6 ?
8 20
PLEASE HELP I NEED IT
Answer:
The pairs are [tex](2,5)[/tex], [tex](4,10)[/tex] and [tex](6,15)[/tex]
Step-by-step explanation:
We can see the given pairs have the same ratio.
Let us find the ratio of pair [tex](8,20)[/tex]
So, the common ratio is [tex]\frac{8}{20}=\frac{2}{5}[/tex]
Now, we will check each pair, Let the missing number be [tex]x[/tex]
Case-I
[tex](x,5)\\\frac{x}{5}=\frac{2}{5}\\ x=2[/tex] So,the pair is [tex](2,5)[/tex]
Case-II
[tex](4,x)[/tex]
[tex]\frac{4}{x}=\frac{2}{5}\\\\\frac{4}{x}=\frac{2\times 2}{5\times 2}=\frac{4}{10}\\ x=10[/tex]So, the pair is [tex](4,10)[/tex]
Case-III
[tex](6,x)[/tex]
[tex]\frac{6}{x}=\frac{2}{5}\\\\\frac{6}{x}=\frac{2\times 3}{5\times 3}=\frac{6}{15}\\x=15[/tex]So, the pair is [tex](6,15)[/tex]
Now, the required pairs are [tex](2,5)[/tex], [tex](4,10)[/tex] and [tex](6,15)[/tex]
What is a point slope equation of the line with slope - 13 that goes through
the point (5,7)?
O A. y+7=-13(x+5)
O BY+5=-13(x+ 7)
OG 1-7=-13(x - 5)
O D. y-5=-13(x-7)
Answer:
C. y - 7 = -13(x - 5)
Step-by-step explanation:
The point-slope equation for a straight line is
y - y₁ = m(x - x₁)
where m is the slope and(x₁, y₁) is a point on the line.
If m = -13 and (5, 7) is the point, the equation is
y - 7 = -13(x - 5)
3 1/3 of it is 10
Find the number
Answer:
3
Step-by-step explanation:
3 times 3 is 9
1/3 of 3 is 1
add them to get 10
Answer:
3
Step-by-step explanation:
[tex]3x \times \frac{1}{3} x = 10 \\ \frac{10}{3} x = 10 \\ 10x = 30 \\ x = 3[/tex]
x-wanted number
Round 75,218 to the nearest thousand
75,000
Explanation:
The 200 would round down.The 18 would round down aswell.This results in getting the answer 75,000.
Answer:
The answer is 75,000
Step-by-step explanation:
To work this out you need to put a line after the thousand like this 75|218 Then if the numer after is 5 or above you round the number up eg 75|818 Would round to 76000