144 = 12² = (3 x 4)²
Hope this helps
franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are there. How many girls are there.
Answer:
There are 60 boys and 80 girls in Franklin School.
Step-by-step explanation:
"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4
It can also be written as 3/4
Also given
Total number of students: 140
We will use ratios to find the number of boys and girls in shool.
First of all, we have to calculate the sum of ratio which is: 3+4 = 7
Let b be the number of boys and g be the number of girls
Then
[tex]b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80[/tex]
Hence,
There are 60 boys and 80 girls in Franklin School.
Help help help help help
Answer:
Option 2: [tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex] is the correct answer.
Step-by-step explanation:
Given function is:
[tex]f(x) = -\frac{3}{4x}[/tex]
There are few steps to find inverse of a function. We will apply them one by one onto the function
Step 1: Replacing f(x) with y
[tex]y = -\frac{3}{4x}[/tex]
Step 2: Replacing y with x and x with y
[tex]x = -\frac{3}{4y}[/tex]
Step 3: Solving the equation in step 2 for y
[tex]x = -\frac{3}{4y}\\y = -\frac{3}{4x}[/tex]
Step 4: Replacing y with inverse of f
[tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex]
Hence,
Option 2: [tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex] is the correct answer.
A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 210 feet. How long will it take to move from one end to the other?
PLEASE HELP ME WILL REPORT IF TROLL
Answer:
The answer is 1470 seconds.
Step-by-step explanation:
Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.
a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?
Answer:
(17.5 / 120 - 2v) + (15 / v)
Step-by-step explanation:
Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,
chauffeur is paid $15/hour
gas cost = $3.5/gallon.
Gasoline cost per mile :
Cost per gallon = $3.5
Cost per gallon * 1/(m(v))
$3.5 * 1 / (120 - 2v) / 5
$3.5 * 5 / 120 - 2 v
= 17.5 / 120 - 2v
Time = distance / speed
Chauffeur cost = 15 per hour / v
Hence ;
Total cost :
Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
Answer would be - (17.5 / 120 - 2v) + (15 / v)
First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 vThen result will be = 17.5 / 120 - 2v
Time = distance / speed Chauffeur cost = 15 per hour / v
Hence ;
The total cost will be : Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
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Prove that 11n-4n is divisible by
7 for all positive integers.
Steve has converted his garage into a separate living space and listed the property for short-term rental on an online platform. Steve spends an average of 15 hours each week performing activities related to the rental property. Which activity is considered a substantial service?
1. Administrative activities, including paying bills and advertising the rental.
2. Changing sheets and towels between rentals.
3. Re paring carpet damaged by quests
4. Transporting quests to and from the airport and sightseeing trips.
Answer: 4. Transporting quests to and from the airport and sightseeing trips.
Step-by-step explanation:
Substantial services in regards to this question, are those described as being done outside the normal scope of business for the convenience of the customers or guests in this scenario.
Transporting guests to and from the airport and taking them on sightseeing trips is outside the scope of the rental business and so they are considered to be substantial services.
Find the slopes of the liner functions
Y= -2x +7
The slope of line given by the linear equation?
The slope of the line shown ?
Answer:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points lie on the lineLet us use these rules to answer the question
∵ The linear equation is y = -2x + 7
→ By comparing it with the form of the linear equation above
∴ m = -2
∵ m is the slope of the line represented by the given equation
∴ The slope of the line given by the linear equation is -2
From the given figure
∵ The line passes through points (6, 0) and (0, 6)
∴ x1 = 6 and y1 = 0
∴ x2 = 0 and y2 = 6
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{6-0}{0-6}=\frac{6}{-6}[/tex]
∴ m = -1
∵ m is the slope of the line shown in the graph
∴ The slope of the line shown in the graph is -1
Change the radical √5/√8
into simplest radical form a/b √c, where a, b, and c are all integers.
Answer:
[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]
Step-by-step explanation:
Given
[tex]\frac{\sqrt{5}}{\sqrt{8}}[/tex]
Required
Express in its simplest form
To do this, we simply radicalize the given expression by multiplying the expression by the denominator over the denominator.
In other words:
[tex]\frac{\sqrt{5}}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}[/tex]
[tex]\frac{\sqrt{5}*\sqrt{8}}{\sqrt{8}*\sqrt{8}}[/tex]
[tex]\frac{\sqrt{40}}{\sqrt{64}}[/tex]
Take positive square root
[tex]\frac{\sqrt{40}}{8}[/tex]
Express 40 as 4 * 10
[tex]\frac{\sqrt{4*10}}{8}[/tex]
[tex]\frac{\sqrt{4}*\sqrt{10}}{8}[/tex]
[tex]\frac{2*\sqrt{10}}{8}[/tex]
Simplify:
[tex]\frac{1*\sqrt{10}}{4}[/tex]
[tex]=\frac{1}{4}\sqrt{10[/tex]
Hence:
[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]
Sample Work Suppose you are constructing a LEGO Technic Land Rover Defender with a total of 2573 pieces. You have already put together 253 pieces. Every minute you add 5 more pieces. Part A Is the relationship linear? How do you know?
Answer:
The relationship is linear.
Step-by-step explanation:
A linear relationship is a trend in the data that can be modeled using a straight line, such that a relationship between two variables x and y is linear if the rate of change is constant. That is, whenever x increases by 1, and it always increases by the same constant.
The constant by which y increases as x increases by 1 is called the slope and is denoted by the letter m. Being b the y-intercept, the linear relationship is modeled by the expression:
y=m*x + b
In this case x represents the minutes and y is the total number of pieces put together, so that each time x (minutes) increases by 1, "y" increases by 5 pieces. So knowing that you have already collected 253 pieces, the expression of the linear relationship is:
y=5*x + 253
The relationship is linear.
giving brainliest !!!
The first time the us enacted a temporary income tax was
Answer:
the revenue act of 1862
Step-by-step explanation:
President Abraham Lincoln signed it
giving brainliest !!!
Answer:
Given
Step-by-step explanation:
Statement 1: AB is parallel to CD is justified as 'Given'
Why it said he used partial products to write 7 × 870 = 5600 + 49 explain why its error in use math to justify your explanation
The person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.
The given equation is 7 × 870 = 5600 + 49.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Now, product of two numbers 7 and 870 is
7 × 870=6090
⇒ 7 × 870 = 5600 + 490
Hence, the person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.
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A rectangle made of square tiles measures 9 tiles long and 4 tiles wide. What is the length of a similar rectangle whose width is 8 tiles?
the answer is in the picture.
What is the sum of two consecutive numbers is 141
The two consecutive integers such that their sum is 141 will be 70 and 71.
What is a number system?The number system is a way to represent or express numbers.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Let's say that two consecutive integers are x and x + 1.
x + x + 1 = 141
2x + 1 = 141
2x = 140
x = 70
So, x + 1 = 71
Thus, it will be 70 and 71.
Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".
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1,682inches rounded to the nearest hundredth is 1,68?
,
Answer:
correct its 1.68
Step-by-step explanation:
What is the area, in square feet, of the shaded part of the rectangle below?
5ft
17 ft
11 ft
Determine which statement uses a valid argument.
A.
If it is hot outside, then Matt will not wear a jacket. Matt is not wearing a jacket. Therefore, it is hot outside.
B.
If it is Tuesday, then the library is open. The library is open. Therefore, it is Tuesday.
C.
If it is summertime, the museum closes at 6 p.m. It is 7 p.m. in the summertime. Therefore, the museum is closed.
D.
All practicing lawyers must pass the bar exam. Chris did not pass the bar exam. Therefore, Chris is a practicing lawyer.
Answer:
The answer is C.
Step-by-step explanation:
- If it is summertime, the museum closes at 6 p.m. It is 7 p.m. in the summertime. Therefore, the museum is closed.
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a negative number the inequality symbol.
Answer:
read
Step-by-step explanation:
The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.
A:
✔ 24 > 16
B:
✔ –22 < –6
C:
✔ 21 > –18
D:
✔ –25 < 5
Multiplying both sides of an inequality by a positive number
✔ does not change
the inequality symbol.
Here fools the rights answers hope it helps O<O
Answer:
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D.
The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.
A:
✔ –16 < –4
B:
✔ 40 > 8
C:
✔ –45 < 15
D:
✔ 35 > –20
Multiplying both sides of an inequality by a negative number
✔ reverses
the inequality symbol.
Find the gradients of lines A and B.
R
B
R
P-
a
0
Wb
Z
Z
4. a) In the adjoining figure, show that a = 90° -
2
AAX
YAB
A
Step-by-step explanation:
qbbab w qnajkwkqqnnqnwn
Mrs. Robert’s vegetable garden is 6 feet wide and 8 feet long. A drawing of the garden has a scale of 1 inch 2 feet. What is the area of the garden on the scale drawing? a. 192 in b. 12 in c. 7 in d. 28 in
Answer:
Step-by-step explanation:
It’s 24
Answer:
b.12 inch squared
Step-by-step explanation:
6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm 6 cm
The perimeter of the polygon above is
Answer:
this is a uniform polygon (that is all its sides are of the same value)
6 into number of sides
6 × 10
60
the perimeter of the polygon is 60
Step-by-step explanation:
i hope this helps.
have a great day ahead :D
Answer:60
Step-by-step explanation:
3. Which is equivalent to the expression below?
4e 6 -2e + 5f + 2 - 2
a. be + 3f + 4
b. 2e + 7f + 4
C. 6e + 7f + 8
d. 2e + 3f + 8
Answer:
B
Step-by-step explanation:
I took an educated guess because i really wasnt sure
Answer:
B. 2e + 7f + 4
Step-by-step explanation:
I took the quiz
A bridge is supported by triangular braces. IF the sides of each brace have the lengths 3 feet, 46 feet, and 40 feet, find the measure of the angle opposite of 46 feet side.
Answer:
46.76
Step-by-step explanation:
Applying the law of cosines
The manager of a football team is keeping track of the yards
gained or lost on each play of a football game. On the first
play, the team gained 4 yards. On the second play, the team
lost 33 yards. On the third play, the team gained 11 yards.
What was the position of the ball relative to its starting point
after the first three plays of the game?
Answer: -48 yd
Step-by-step explanation:
Hurry Please!!!
True or False
The graph of y=2x is similar but also different from the graph
of y=2x−7.
True
False
Explain the reasoning of your answer above.
Answer:
True
Step-by-step explanation:
The lines has the same slope but y=2x-7 is lower than y=2x
Write an equation in standard form.
Answer:
[1,2]; m = 7
Step-by-step explanation:
A ratio can be expressed as a _______________ description, with a _______________, or as a _______________. I need help filling in the blanks.
Answer:
A ratio can be expressed as a word description, with a colon or as a fraction.
Step-by-step explanation:
A ratio can be expressed as a word description, with a colon or as a fraction.
Quantitatively, a ratio is a number representing a comparison between two named values. It is the relative magnitude of two quantities usually expressed as a quotient.
Thus, a ratio can be expressed as a word description between two quantities, for example:
four to five.
It can be represented with a colon. i.e 4:5
Or as a fraction i.e. [tex]\dfrac{4}{5}[/tex]
What is the value of p in the proportion below?
20/6 = p/12
O 2
O 10
O 40
O 72
Answer:
p = 40
Step-by-step explanation:
20/6 = p/12
Reduce the fraction on the left side.
10/3 = p/12
Cross multiply.
3p = 10 * 12
Divide both sides by 3.
p = 10 * 4
p = 40