All of the following expressions have the same value, when x = -2 and y = 4, except _____.
a. x 2y
b. (-2) 2y
c. -4 x 2
d. -2 xy
-2 *2(4) = -2 *8 = -16
(-2) *2(4) = -2 *8 = -16
-4(2)*2 = -8*2 = -16
-2*(-2*4) = -2 *-8 = 16
D is the only one that is positive so D is the answer
C. -4 x^2
next time add the ^ it doesnt copy the small numbers
Rachel bought 6 1/4 pounds of dried fruit. If 1/3 of the fruit was dried apricots, how many pounds of dried apricots did she buy?
Rachel bought 6 1/4 pounds of dried fruit. If 1/3 of the fruit was dried apricots, then the pounds of dried apricots which she bought was 25/12 or 2.08pounds.
What is Arithmetic operation?This basically comprises of operations such as Addition, Subtraction, Multiplication and Division.
Operations such as 'of ' are usually represented with the multiplication sign which is ( × ). In this scenario we were told that 1/3 of the 6 1/4 pounds of dried fruit was dried apricot.
This therefore means that 1/3 of 25/4 = 1/3 × 25/4 = 25/12.
This means that 25/12 or 2.08pounds was bought by her.
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Find the value of 3x + 2 when 7 + x =5
Solve this problem in your notebook using all four steps. Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each. Jane is _____ a0 years old. Harvey is ____ a1 years old.
Answer:
Jane is 12 and Harvey is 36
Step-by-step explanation:
Answer: The jane is 12 years old and Harvey is 36 years old.
Explanation:
Let jane's age is defined by J and Harvey's age is defined by H.
It is given that the Harvey is 3 times as old as Jane. It means the age of Harvey is 3 times of the age of jane.
H = 3J ..... (1)
It also given that the sum their ages is 48.
H + J = 48 ..... (2)
Using equation (1), Put H = 3J,
3J + J =48
4J = 48
J = 12
Substitute this value is equation (1).
H = 3(12)
H = 36
Therefore, the Jane's age is 12 and the Harvey's age is 36.
Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and yrepresents the total cost of the peaches, which best describes the values of x and y?
Let
x----------> represents the number of pounds of peaches bought
y----------> represents the total cost of the peaches
we know that
Peaches are being sold for [tex]2\frac{\$}{pound}[/tex]
so
the equation that best describes the values of x and y is equal to
[tex]y=2x[/tex] or [tex]x=y/2[/tex]
The relationship between the two variables, x, and y, represent a direct variation
therefore
the answer is
[tex]y=2x[/tex] or [tex]x=y/2[/tex]
8x-3y=6-4x in linear equation
Colin drove 45 minutes to the air port. He arrived 90 minutes before his flight departed and then he spent 70 minutes in the air. Once he landed Colin spent 20 minutes gathering his language and the. He drive 35 minutes to his hotel what must be true of any expression that represents the hotel time Collin spent traveling from his house to the hotel.
Given: The time taken to do each activity from Colin's house to his hotel in given.
he drove to the airport for 45 minuteshe waited at the airport for the flight to depart for 90 minuteshis fight duration was 70 minutesupon landing, he gathered his luggage for 20 minuteshe drove to the hotel for 35 minutesTo Find: what is true of any expression that represents the total time Collin spent traveling from his house to the hotel
Solution: Any expression will involve the sum of all the durations of his various activities i.e., 260 minutes or 4 hours and 20 minutes.
Explanation:
As each of the activities described is an independent activity that does not overlap, we can easily sum up the durations of each to find the total time Collin took from his house to the hotel.
We add it as follows :
he drove to the airport for 45 minutes + he waited at the airport for the flight to depart for 90 minutes + his fight duration was 70 minutes + upon landing, he gathered his luggage for 20 minutes + he drove to the hotel for 35 minutes.
So, 45+90+70+20+35 = 260 minutes
which means it took a total of 260 minutes or 4 hours and 20 minutes from Collin's house to his hotel.
Answer:
the answer is A
Step-by-step explanation:
I got a 90 and I got it right and so will u so trust me
Carlos purchased an antique chair for $15 he later so this year for $27 to an antique dealer what was the percent markup of the chair
Answer: The required percent markup is 80%.
Step-by-step explanation: Given that Carlos purchased an antique chair for $15 and later he sold it this year for $27 to an antique dealer.
We are to find the percent markup of the chair.
The markup price of the chair is given by
[tex]m_p=\$(27-15)=\$12.[/tex]
Since Carlos purchased the chair for $15, so the markup percent is given by
[tex]\dfrac{m_p}{15}\times100\%\\\\\\=\dfrac{12}{15}\times100\%\\\\\\=\dfrac{4}{5}\times100\%\\\\=80\%.[/tex]
Thus, the required percent markup is 80%.
The Smiths spend 11% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $4,950 on entertainment. What was their total budget last year?
A constant of proportionality can also be considered a(n)
Answer: A. Unit Rate
2. At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices are as follows:
$2.95
$1.19
$4.61
$1.74
$3.04
$8.83
$1.16
− $0.75 (coupon)
− $1.00 (coupon)
The register gives your total bill as $21.77.
(a) Round each price and coupon to the nearest dollar and then estimate the total amount of the bill.
(b) Using your estimate, determine whether the total on the register is reasonable. Justify your answer.
Answer and explanation:
Given : At the grocery store checkout, you watch at the register as it rings up your purchases and coupons.
The register gives your total bill as $21.77.
To find :
(a) Round each price and coupon to the nearest dollar and then estimate the total amount of the bill.
The prices are as follows:
$2.95 estimated to $3 as (9>5)
$1.19 estimated to $1 as (1<5)
$4.61 estimated to $5 as (6>5)
$1.74 estimated to $2 as (7>5)
$3.04 estimated to $3 as (0<5)
$8.83 estimated to $9 as (8>5)
$1.16 estimated to $1 as (1<5)
− $0.75 (coupon) estimated to -$1 as (7>5)
− $1.00 (coupon) estimated to -$1 as (0<5)
The total amount bill is $3+$1+$5+$2+$3+$9+$1-$1-$1=$22.
So, Estimated total amount of the bill is $22.
(b) Using your estimate, determine whether the total on the register is reasonable. Justify your answer.
The register gives your total bill as $21.77.
The total on the register is reasonable because even with the rounded price at the end the price became same which is reasonable.
As 21.77 estimated to 22 as (7>5).
According to the school survey, 12% of the students at Rockwood Junior High School speak Spanish. There are 36 students at the school who speak Spanish. How many students were surveyed?
Answer:
300 students were surveyed.
Step-by-step explanation:
We are given the following information in the question:
Percentage of students at Rockwood Junior High School who speak Spanish = 12%
Number of students at Rockwood Junior High School who speak Spanish = 36
We have to find the total number of students who surveyed:
Formula:
Let x be the total number of students who were surveyed.
[tex]12\% \text{ of }x = 36\\\\\displaystyle\frac{12}{100}\times x = 36\\\\x = \frac{36\times 100}{12}\\\\x = 300[/tex]
Thus, 300 students were surveyed.
need help finding D=___
Addition and __?___ are operations you can use to join __?____?
Answer: The correct answer is:
Addition and multiplication are operations you can use to join equal groups.
Step-by-step explanation: Confirmed correct.
Please Troy to help me understand this example
How do you change an improper to a mixed numeral
What happens to the arrangement of water molecules as ice melts?
Molecules release enough energy to move from their fixed positions.
Molecules release enough energy to escape as vapor.
Molecules gain enough energy to move from their fixed positions.
Molecules gain enough energy to escape as vapor.
A physicist working in a large laboratory has found that light particles traveling in a particle accelerator increase velocity in a manner that can be described by the linear function −4x + 3y = 9, where x is time and y is velocity in kilometers per hour. Use this function to determine when a certain particle will reach 50km/hr.
The particle will reach 50km/hr when x =
.
Answer:
x = 35.25 hr
Step-by-step explanation:
The velocity model is given by −4x + 3y = 9, where x is time and y is velocity in kilometers per hour.
Solve the equation for x
Add 4x to both sides of the equation
[tex]3y=4x+9[/tex]
Subtract 9 to both sides
[tex]3y-9=4x[/tex]
Divide both sides by 4
[tex]x=\frac{3}{4}y-\frac{9}{4}[/tex]
Now, we have to find x for y = 50
Replace y with 50
[tex]x=\frac{3}{4}\cdot50-\frac{9}{4}\\\\x=\frac{75}{2}-\frac{9}{4}\\\\x=\frac{141}{4}\\\\x=35.25[/tex]
Therefore, the particle will reach 50 km/hr when x = 35.25 hr
a large aquarium has 6 more fish than a small aquarium. There are 19 fish in a large aquarium. How many fish are in a small aquarium
The number of fish in the small aquarium is 13 fish.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The number of fish in the large aquarium = 19
A large aquarium has 6 more fish than a small aquarium.
The number of fish in the small aquarium is
⇒ [tex]19-6[/tex]
⇒ [tex]13[/tex]
Hence we can conclude that the number of fish in the small aquarium is 13 fish.
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what is the preimter and area of a rectangle that is 30 inchs long and 39 inchs wide
Graph y<1−3x .
A graph with y axis ranging from negative 4 to 2 and x axis ranging from negative 1 to 4. A dotted line with arrows at both ends passing through the y axis at one and the x axis at point 3. The graph is shaded above the line.
Number graph with x axis ranging from negative one to five, and y axis ranging from negative four to two. A dotted line with arrows at both ends passing through the y axis at one and the x axis at point three. The graph is shaded below the line.
Number graph with y axis ranging from negative 4 to 2, and x axis ranging from negative 2 to 6. A solid line with arrows at both ends passing through the y axis at one and the x axis at point three. The graph is shaded above the line.
Number graph x axis ranging from negative one to five, and y axis ranging from negative four to two. A solid line with arrows at both ends passing through the y axis at one and the x axis at point three. The graph is shaded below the line.
The correct answer is B. Number graph with x axis ranging from negative one to five, and y axis ranging from negative four to two. A dotted line with arrows at both ends passing through the y axis at one and the x axis at point three. The graph is shaded below the line. I took the test and this answer was correct, I'm 100% sure!
The correct option is (B) which represents the linear inequality y ≤ 1 - 3x as shown in the picture.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
The inequality is:
y ≤ 1 - 3x
As we can see the above expression represents the linear inequality:
After plotting the linear inequality on the coordinate plane.
From the graph, a straight line is drawn and the shaded region represents the solution to the linear inequality.
Thus, the correct option (B) Number graph with an x-axis ranging from a negative one to five, and a y-axis ranging from negative four to two. A dotted line with arrows at both ends passes through the y-axis at one and the x-axis at point three. The graph is shaded below the line is correct.
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fill in the blanks with two rational numbers (other than 1 and -1)
Henry has a bag containing 35 letter tiles some consonants and some vowels He selects a tile without looking and then replaces it if he pull 3 consonants tiles and 4 vowel tiles which is the most likely number of consonant tile in Henry’s bag
what is 10% as a decimal?
it will cost $73 per hour to rent a sailboat and 88 per hour to rent a ski boat. how much more will it cost to rent a ski boat than a sailboat for 4 hours
0.12 or 1.2% which is greater
1.2% is the greater percentage than 0.12
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
We need to find 0.12 or 1.2% which is greater
0.12 isn’t a full percent, the decimal determines the greatness of the two number.
1.2% is the larger number.
1.2% = 1.2/100
= 0.012
Therefore, 1.2% is the greater percentage than 0.12
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What is the value of the function at x= -2?
Answer:
The correct answer is y = 2
How to subtract 4/5 and 3/10 in simplest form
A classmate believes that a triangle can have both a right angle and an obtuse angle. Which of the following statements would you pick to convince him that he is incorrect
(a) It is not possible because the sum of the angles in the triangle can’t exceed 180°
(b)It is not possible because if a triangle has an obtuse triangle, that means all the angles are obtuse angles. (c) It is not possible because if a triangle has a right triangle, that means all the angles are right angles (d)It is possible. The classmate is correct
If y=-7 when x=-21, what is the value of x when y=9