What are the opposites of the whole numbers from 35 to 45
The opposites of the whole numbers from 35 to 45 are; -35, -36, -37, -38, -39, -40, -41, -42, -43, -44, -45.
How to label number opposites?
The opposite of a number is the opposite sign of that same number. Thus;
Opposite of a is -a.
Opposite of -b is b.
Now; Numbers from 35 to 45 are; 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45.
Thus, their opposites are; -35, -36, -37, -38, -39, -40, -41, -42, -43, -44, -45.
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What is the product in simplest form? −8/9⋅5/6
A.−1
B.−13/15
C.−20/27
D.−15
Marjorie consumed 1.5 gallons of water in one day. How many milliliters are equal to 1.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters? (3 points)
5.6775 milliliters
567.75 milliliters
5,677.5 milliliters
56,775 milliliters
The amount of water consumed each day is 1.5 gallons = 5667.5 millilitres. The correct option is C.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The amount of water in millilitres will be calculated as,
1 Gallons = 3.785 litres
1.5 Gallons = 3.785 x 1.5 litres
1.5 Gallons = 5.6775 litres
1.5 gallons = 5.6775 x 1000 mililitres
1.5 Gallons = 5677.5 mililitres
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which of these skills do you need more help with select all that apply
A. finding the square and square roots of numbers
B. idrntifying rational and irrational numbers
C. comparing values of rational and irrational numbers
D. evaluating perfect squares and cubes
E. using roots to represent solutions to equations
write the product of 7×7×7×7 in exponential form
Product of 7×7×7×7 is 7⁴ in exponential form.
What is exponent?Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6. This can be written as 6⁴
Given expression,
7×7×7×7
7 is multiplied to itself 4 times
= 7⁴
Hence, 7⁴ is the product of 7×7×7×7 in exponential form
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An investment is currently worth 1.035×108 dollars . Thirty years ago, the investment was worth 2.3×105 dollars. How many times greater is the value of the investment today than the value of the investment thirty years ago? A. 0.45 B.450 C.4500 D. 45,000
The correct option is: B. 450
Explanation
Current value of the investment is [tex]1.035\times 10^8[/tex] dollars and 30 years ago, the value of the investment was [tex]2.3\times 10^5[/tex] dollars.
Suppose, the value of investment today is [tex]n[/tex] times greater than the value of the investment thirty years ago.
So, the equation will be........
[tex]n(2.3\times 10^5)=1.035\times 10^8\\ \\ n= \frac{1.035\times 10^8}{2.3\times 10^5}=0.45\times 10^3 = 450[/tex]
Thus, the value of the investment today is 450 times greater than the value of the investment thirty years ago.
Answer: B. 450
Step-by-step explanation:
Given: An investment is currently worth =[tex]1.035\times10^8[/tex] dollars .
Thirty years ago, the investment was worth =[tex] 2.3\times10^5[/tex] dollars.
Now, the number of times the value of the investment today than the value of the investment thirty years ago is given by :-
[tex]n=\frac{1.035\times10^8}{2.3\times10^5}\\\\=0.45\times10^{8-5}........\text{Since }a^na^m=a^{m+n}\\\\=0.45\times10^3\\\\=0.45\times1000=450[/tex]
Hence, the value of the investment today is 450 times greater than the value of the investment thirty years ago.
Solve for x. y=7x−7z−9
Answer:
The value of x is [tex]x=\frac{y+7z+9}{7}[/tex]
Step-by-step explanation:
Consider the provided equation.
[tex]y=7x-7z-9[/tex]
We need to solve the equation for x.
Add 7z to both the sides.
[tex]y+7z=7x-7z+7z-9[/tex]
[tex]y+7z=7x-9[/tex]
Add 9 to both the sides.
[tex]y+7z+9=7x-9+9[/tex]
[tex]y+7z+9=7x[/tex]
Divide both sides by 7.
[tex]x=\frac{y+7z+9}{7}[/tex]
Hence the value of x is [tex]x=\frac{y+7z+9}{7}[/tex].
What is the simplified value of the expression below? 8.5+(12+4)x2-7
A. 10.5
B. 33.5
C. 88.5
D. 97.5
Answer:33.5
Step-by-step explanation:
Solve for x, assuming a, b, and c are negative constants.
(ax + b)/c ≤ b
Solving for some variable means finding its value for which the given statement is true. Thus, the solution to given inequality is [tex]x \leq \dfrac{b(c-1)}{a}[/tex] (if a/c is non-negative)or [tex]x \geq \dfrac{b(c-1)}{a}[/tex] (if a/c is negative)
What type of operations are allowed in inequality?All such operations such that inequality doesn't gets modified( for example, if left expression is bigger than right one, then that expression cannot go bigger than the later expression).
For the given case, the inequality given is:
[tex](ax+b)/c \leq b[/tex]
Its solution can be found by doing operations which doesn't modify the inequality and takes all the terms such that one side is 'x' and other side are constants.
[tex](ax+b)/c \leq b\\\\\dfrac{a}{c}x + \dfrac{b}{c} \leq b\\\\\text{Subtracting b/c from both the sides}\\\\\dfrac{a}{c}x \leq b - \dfrac{b}{c}\\\\\text{Supposing that a/c is non-negative, multiplying both sides by c/a}\\\\x \leq \dfrac{c}{a} \times \dfrac{bc - b}{c} = \dfrac{b(c-1)}{a}\\\\x \leq \dfrac{b(c-1)}{a}[/tex]
(i assumed a/c non-negative, since multiplying with negative quantity can modify the sign of inequality, so ≤ would have become ≥ )
If a/c is negative, then:
[tex]x \geq \dfrac{c}{a} \times \dfrac{bc - b}{c} = \dfrac{b(c-1)}{a}\\\\x \geq \dfrac{b(c-1)}{a}[/tex]
Thus, the solution to given inequality is [tex]x \leq \dfrac{b(c-1)}{a}[/tex] (if a/c is non-negative)
or [tex]x \geq \dfrac{b(c-1)}{a}[/tex] (if a/c is negative)
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Final answer:
To solve for x, we can multiply both sides of the equation by c, subtract b from both sides, and then divide both sides by a to isolate x. The solution is x ≤ (bc - b)/a.
Explanation:
To solve for x in the equation (ax + b)/c ≤ b, we can first multiply both sides of the equation by c to eliminate the denominator:
ax + b ≤ bc
Next, we can subtract b from both sides:
ax ≤ bc - b
Finally, we divide both sides by a to isolate x:
x ≤ (bc - b)/a
Since a, b, and c are negative constants, the values of b and c are negative. Therefore, the numerator of the inequality will always be negative, resulting in a positive value for x. So the solution is:
x ≤ (bc - b)/a
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 4/17 cups from the first orange, 3/10 cups from the second orange, 9/20 cups from the third orange, 3/11 cups from the fourth orange, and 7/15 cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need?
The amount of juice needed is about 0.487 cups
Amount of oranges squeezed :
First orange = 4/17 cups
Second orange = 3/10 cups
Third orange = 9/20 cups
Fourth orange = 3/11 cups
Fifth orange = 7/15 cups
Total amount of oranges needed = 2 cups
The amount of extra orange needed = x
Adding :
(4/17 + 3/10 + 9/20 + 3/11 + 7/15) + x = 2
(13200 + 168300 + 252450 + 153000 + 261800) / 561000
(848750 / 561000) + x = 2
1.5129 + x = 2
x = 2 - 1.5129
x = 0.4871 cups
The amount of juice needed is about 0.487 cups
This grid shows the location of four animals.
Where is Chewy located?
A:(3, 6)
B:(5, 1)
C:(6, 3)
D:(1, 5)
PLEASE HELP ME ASAP! I HAVE A UNIT TEST! Jessica is filling glasses with water. Each glass holds 3/5 cup of water. She pours 4 1/5 cups of water into the glasses. How many glasses does she fill with water?
What is the product in simplest form? −5/12 ⋅ 8/13 Please answer
Find a report in a newspaper magazine or on the Internet that uses results from a servery. Evaluate how the survey uses ratios to reach
conclusion
What is the value of the expression? Drag and drop the answer into the box to match the expression. 0.9(1/2−2)+0.6
A patrol unit has 13-gallon fuel tank and averages 15 miles per gallon of fuel used. If the officer assigned to the unit works four 10-hour shifts per week and typically drives 100 miles per shift. How much fuel will the officer's unit use in one week?
The officer's unit will use approximately 26.67 gallons of fuel in one week.
Explanation:To calculate the amount of fuel the officer's unit will use in one week, we need to determine the total distance driven in a week and then calculate the amount of fuel needed for that distance.
Since the officer works four 10-hour shifts per week, the total driving time in a week is 40 hours (4 shifts x 10 hours per shift). If the officer typically drives 100 miles per shift, then the total distance driven in a week is 400 miles (100 miles per shift x 4 shifts).
Now, let's calculate the amount of fuel needed for 400 miles at an average fuel economy of 15 miles per gallon.
Fuel used = Total distance driven / Fuel economy = 400 miles / 15 miles per gallon
Fuel used = 26.67 gallons
Therefore, the officer's unit will use approximately 26.67 gallons of fuel in one week.
Pilar used five reusable shopping bags recent purchase she made at a grocery store. Each bag decreased the amount she spent by 10 cents. What was the change to the amount Pilar spent at the grocery state by using the reusable bags?
Pilar saved a total of $0.50 by using five reusable shopping bags, with each bag providing a $0.10 discount on her purchase.
Pilar used five reusable shopping bags for a recent purchase she made at a grocery store, where each bag decreased the amount she spent by $0.10. To calculate the total amount saved by Pilar, we must multiply the number of bags by the savings per bag. So the calculation is as follows:
Number of reusable bags = 5
Savings per bag = $0.10
Total savings = Number of reusable bags imes Savings per bag = 5 imes $0.10 = $0.50
Therefore, by using the reusable bags, Pilar saved a total of $0.50 on her grocery purchase.
Jeremiah is saving money from a tutoring job.After the first three weeks,he saved $135.Assume the situation is proportional.Use the unit rate to write an equation relating the amount saved s to the number of weeks w worked.At this rate,how much will Jeremiah save after eight weeks?
)Maya is showing her work in simplifying (5.2 − 4.5) − 5.5 + 4.8. Identify any error in her work or reasoning.
Step 1: (5.2 − 4.5) − 5.5 + 4.8
Step 2: 5.2 + (− 4.5 − 5.5) + 4.8 (identity property)
Step 3: 5.2 − 10 + 4.8
Step 4: 5.2 + 4.8 − 10 (commutative property)
Step 5: 10 − 10 = 0
Answers:
A. She wrote identity instead of commutative in Step 2.
B. She wrote commutative instead of distributive in Step 4.
C. She wrote identity instead of associative in Step 2.
D. She wrote commutative instead of associative in Step 4.
Hello,
The correct answer is C) She wrote identity instead of associative in Step 2.
Hope this helps!!!! :)
**(Vanessa)**
140% or 0.14 which is greater?
a cricket chirps 40 times a minute when the temperature is 50 degrees. write an equation representing the temperature in terms of number of chirps per minute
The relationship between temperature and the number of chirps per minute can be represented by the equation C = 0.8T, where C is the number of chirps per minute and T is the temperature.
Explanation:The relationship between the temperature and the number of chirps per minute can be represented by an equation.
Let's assume that the temperature is denoted by T and the number of chirps per minute is denoted by C. According to the given data, when the temperature is 50 degrees, the cricket chirps 40 times per minute. We can use this information to write the equation as:
C = kT
where k is a constant.
To solve for the value of k, we can substitute the temperature and the number of chirps per minute into the equation:
40 = k * 50
Dividing both sides by 50 gives us:
k = 40/50 = 0.8
Therefore, the equation representing the temperature in terms of the number of chirps per minute is:
C = 0.8T
Helpppp meeeeeee eeeeeee
Answer:
no
Step-by-step explanation:
Joanna joins a CD club. She pays $7 per month plus $10 for each CD that she orders. Write an inequality to find how many CDs she can purchase in a month if she spends no more than $100. Identify what your variable represents.
Jerry has 2 1\2 pounds of peanuts to share equally. He plans to share the peanuts amoung 5 people. How many pounds of peanuts will each person get? Express your answer in simplest form.
last year there were 20 girls on the volleyball team this year the number of girls decreased by 10% how many girls are on the volleyball team this year
What is true about the product, a fraction less than 1 is multiplied by 9/10
It was estimated that a giraffe would be 15.5 feet tall when fully grown. its actual height was 16.25 feet. what was the percent error between the actual and estimated values of height
Doug is twice Anne's age. Doug is 34 years old. How old is Anne
What is 76912 divided by 92
8.50 as a rational number?