Answer:
3/2 is greater than 1
Step-by-step explanation:
A little trick to immediately know if a number is more or less than when it involves fractions versus whole numbers is that improper fractions will always be greater than 1.
If you want to confirm this, dividing 3/2 equals 1.5, ergo 1.5 > 1.
In essence, improper fractions will always represent a number greater than one contrasted to proper fractions because if you put it on a perspective (let's say you have 13 pie slices but you only needed 12, that means there is a pie slice that's extra that makes it greater than the original pie slices).
Hope that helps :)
A car drives ninety-one miles on seven gallons of gas. How many miles does the car
travel per gallon?
Answer:
13
Step-by-step explanation:
Which pair of sentences explains what happens if the wire breaks? A. The wire is part of the electric circuit. The electric current will not flow if it breaks B. The wire is not part of the electric circuit. The electric current will continue to flow, but the bulb will not light C. The wire is not part of the electric circuit. The electric current will flow but the bulb is burned out. D. The wire is part of the electric circuit. The electric current will flow if the glass bulb is not
Answer:\ a.The wire is part of the electric circuit. The electric current will not flow if it breaks
Step-by-step explanation:
Hope this helps!
une boxes.
Find:
5% of 90 m =
m
25% of 88 kg =
kg
75% of 264 =
Answer:
1) 5% of 90m= 4.5m
2)25% of 88kg = 22kg
3) 75% of 264= 198
Step-by-step explanation:
1) 90m = 100% (divide by 10)
9 = 10% (divide by 2)
4.5 = 5%
2) 88kg = 100% (keep on dividing by 2)
44kg = 50%
22kg=25%
3) 264 = 100%
132 = 50%
66 = 25% (add)
198=75%
Find the unknown length x in the right triangle, to the nearest tenth.
Answer:
x = 13.5
Step-by-step explanation:
sin 40 = x/21
0.6428 = x/21
x = 13.5
A test has multiple choice questions with 3 choices for each answer; only one answer is correct for each question. Suppose a student guesses the answer to each question. Assuming the guesses are independent, find the probability that the student will guess correctly when answering two questions. a) 1/3 b)1/9 c)1/18
Answer:
A 1/3
Step-by-step explanation:
1. The rules for adding and subtracting rational expressions are the same as
the rules for adding and subtracting numerical fractions. *
True
False
Extra Example 3: Hazel has $23.28 in her purse. She has $5.60 more than Nixon.
Paul says that Nixon has $28.88. Yolanda says that Nixon has $17.68. Who is
correct?
Answer:
Yolanda is correct.
Step-by-step explanation:
If Hazel has $23.28 and $5.60 more than Nixon, then Nixon will have $17.68 because 23.28-5.60 is 17.68.
The only way Paul would be right is if Nixon has $5.60 more than Hazel because 23.28+5.60 is 28.88.
What is the solution to the inequality 7x + 2 < -3x + 1?
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Step-by-step explanation:
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A family has a monthly income of $2800 and plans to spend 12% of this amount on entertainment. How much will be spent on entertainment?
A 12-sided die is rolled. The set of equally likely outcomes is \ 1.2.3.4.5.6.7.8.9.10.11.12) . Find the probability of rolling a 9
Answer:
1/12
Step-by-step explanation:
write a equation of the line that passes through each pair of points (1,0) (5,-1)
Answer:
Slope : -1/4
Equation: y = -x + 1/4
Step-by-step explanation:
You start by finding the slope using the slope formula. Then after finding the slope you use one of the pairs to substitute in the equation y = mx+b then after doing that you solve for your b since it will be the only missing variable. Then you have your equation.
if f(x) = -x^3 + x^2 + x, find f(-2)
Answer:
Hope this helps let me know
Answer:
-(-2)^3 + (-2)^2 + -2
2^3 -2^2 -2
8+4-2
=10
Simplify fully 4a sqaured +8a +2 I-a squared +9a -3
Answer:
The simplified expression is: [tex]3a^2 + 17a - 1[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]4a^2 + 8a + 2 - a^2 + 9a - 3[/tex]
We can fully simplify the expression by combining the like terms. So
[tex]4a^2 + 8a + 2 - a^2 + 9a - 3 = 4a^2 - a^2 + 8a + 9a + 2 - 3 = 3a^2 + 17a - 1[/tex]
The simplified expression is: [tex]3a^2 + 17a - 1[/tex]
It costs $120 for 20 students to visit an aquarium. How much does it cost for 152 students? Set up a proportion to solve.
Answer:
152 times 6=912
Step-by-step explanation:
$120 for every 20 students
it cost $6 for every 1 student
$6 times 152=912
The area of the triangle below is 8.91 square inches. What is the length of the base?
2.2 in is the height will mark BRAINLIEST!!!!!!
Aj jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets 4 orange sweets and 3 white sweets.
Ola chooses a sweet at random .what is the probability that she pick either a yellow or orange sweet ?
Answer:
[tex]\frac{9}{24}[/tex]
Step-by-step explanation:
Add all the sweets together ( that will be your denominator )
5+4+8+4+3= 24
The probability she will pick and yellow and orange ( add those numbers together)
Yellow + orange = Numerator
5+4=9
How you answer should be lay out :
[tex]\frac{Orange+ yellow sweets}{Total amount of sweets}[/tex]
Answer:
9/24
Step-by-step explanation:
add the sweets (for denominator) 5+4+8+4+3 =24 then add yellow + orange (which is 9)
Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?
Answer:
He made $414.90 in all.
Step-by-step explanation:
56.25 * 6 = $337.50
25.80 * 3 = $77.40
77.40 + 337.50 = $414.90
Here is the histogram of a data distribution. All class widths are 1.
What is the median of this distribution?
O A. 4
O B. 3
O C. 6
D. 5
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Statistics of a Categorised data.
We know that medium is the middle most point of any observation table or a Histogram displayed,
Hence we can clearly see here that, observation - 4 on the x-axis is the middle most entry of the Histogram, around which all other entries are equal.
===> Hence, option A.) 4 is correct answer.
Of the 292 students at Central Middle School, 25% are on the honor roll.
How many students are on the honor roll?
Answer:
73 students
Step-by-step explanation:
0.25×293=73
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c/( x + 1) dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation? Use the methods outlined in this section to find the minimum.
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
Simplify: (3y^4 - 2y^2 + 3y - 2) - (-4y^4 - 2y^2+ 3)
Answer:
7y^4+3y-5
Step-by-step explanation:
PLZ HELP ME ASAP PLS
Answer:
The answer is B no triangles can be made. for it to be a triangle two sides must be greater than the third side. is 14+6 greater that 5? Yes but 6+5 isn't greater than 14 so the answer would be no triangles can be made
Find the area of the figure.
7 cm
8 cm
11 cm
The area is
square centimeters.
Answer:
let's divide the figure in rectangle and triangle.
first we should find the area of triangle.
area of triangle =1/2×base×height
area of triangle=1/2×11cm×7cm
area of triangle=38.5cm²
area of rectangle =length ×width
area of rectangle =11cm×8cm
area of rectangle =88cm²
area of the figure=38.5cm²+88cm²
area of the figure=126.5cm²
Last week Besty made an 80 on her quiz. This week she made a 75. What is the percent of decrease in her score?
If triangle ABC is similar to triangle PQR, find the value of x and y.
Answer:
x = 9
y = 6
Step-by-step explanation:
ΔABC ~ ΔPQR
Therefore, corresponding sides of these similar triangles will be in the proportional.
[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]
[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]
[tex]\frac{6}{x}= \frac{8}{12}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]
y = [tex]\frac{12\times 4}{8}[/tex]
y = 6
please help! i’m giving 20 points. THANK YOU!
Answer:
A. Distance KL = 7.36 m
B. Height ML = 4.25 m
C. The maximum height is 6.96 m
Step-by-step explanation:
A. Determination of distance KL
Hypothenus = KM = 8.5 m
Angle θ = 30°
Adjacent = KL =?
Cos θ = Adjacent / Hypothenus
Cos 30 = KL / 8.5
0.866 = KL / 8.5
Cross multiply
KL = 0.866 × 8.5
KL = 7.36 m
Thus, the distance is 7.36 m
B. Determination of height (ML)
Hypothenus = KM = 8.5 m
Angle θ = 30°
Opposite = ML =?
Sine θ = Opposite /Hypothenus
Sine 30 = ML /8.5
0.5 = ML / 8.5
Cross multiply
ML = 0.5 × 8.5
ML = 4.25 m
Thus, the height is 4.25 m
C. Determination of the maximum height.
Hypothenus = KM = 8.5 m
Angle θ = 55°
Opposite = ML =?
Sine θ = Opposite /Hypothenus
Sine 55 = ML /8.5
0.8192 = ML / 8.5
Cross multiply
ML = 0.8192 × 8.5
ML = 6.96 m
Thus, the maximum height is 6.96 m
The graph shows the relationship between the distance a car is driven and the number of gallons of gasoline used. Identify the value in d in the point (1, d). What does that point represent?
A. d=25; the unit rate is 25 miles per gallon
B. d=25; the unit rate is 25 gallons per mile
C. d=50; the unit rate is 50 miles per gallon
D. d=50; the unit rate is 50 gallons per mile
Answer:
A. d = 25; the unit rate is 25 miles per gallon
Step-by-step explanation:
The point (1, d) on the graph represents (x, y), where,
x = gasoline used = 1 gallon
y = distance = d = 25 miles
That is, (1, d) represents when x = 1, y = 25.
Thus, (1, 25) is the unit rate which is 25miles per gallon.
Round 2,389.3 to the nearest ten
Answer:
2,390
Step-by-step explanation:
Answer:
Step-by-step explanation:
2390
Hope that helps!
answer please.. need asap. algebra
What is the range of the function shown on the graph above
Answer:
d
Step-by-step explanation:
there isnt an arrow saying it keeps going past 10