Answer:
30
Step-by-step explanation:
The absolute value function always gives a positive value, that is
| - a | = | a | = a
Given
| - 10 | + | - 20 |
= 10 + 20
= 30
Answer:
|-10| + |-20| = 30
Step-by-step explanation:
Absolute Value
The absolute value of x, written |x| is a positive number that represents the distance from the origin and the number.
In practice, the absolute value is found writing the number without the negative sign, if present.
For example:
|-9| = 9
|76| = 76
|0| = 0
The given expression is
|-10| + |-20|
Calculate each absolute value separately:
|-10|=10
|-20|=20
Thus:
|-10| + |-20| = 10+20 = 30
|-10| + |-20| = 30
Please help me with this problem!
how do I solve this equation 5x+7=3x-5
Answer:
x = -6
Step-by-step explanation:
Simplifying
5x + 7 = 3x + -5
Reorder the terms:
7 + 5x = 3x + -5
Reorder the terms:
7 + 5x = -5 + 3x
Solving
7 + 5x = -5 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
7 + 5x + -3x = -5 + 3x + -3x
Combine like terms: 5x + -3x = 2x
7 + 2x = -5 + 3x + -3x
Combine like terms: 3x + -3x = 0
7 + 2x = -5 + 0
7 + 2x = -5
Add '-7' to each side of the equation.
7 + -7 + 2x = -5 + -7
Combine like terms: 7 + -7 = 0
0 + 2x = -5 + -7
2x = -5 + -7
Combine like terms: -5 + -7 = -12
2x = -12
Divide each side by '2'.
x = -6
Simplifying
x = -6
The solution to the equation 5x + 7 = 3x - 5 is x = -6.
We have,
To solve the equation 5x + 7 = 3x - 5, we need to isolate the variable x on one side of the equation.
Here's how we can do that:
Start by subtracting 3x from both sides of the equation to move all the x terms to one side:
5x + 7 - 3x = 3x - 5 - 3x
Simplifying, we get:
2x + 7 = -5
Next, subtract 7 from both sides of the equation to isolate the term with x:
2x + 7 - 7 = -5 - 7
Simplifying, we get:
2x = -12
Now, to solve for x, we divide both sides of the equation by 2:
(2x)/2 = (-12)/2
Simplifying, we get:
x = -6
Thus,
The solution to the equation 5x + 7 = 3x - 5 is x = -6.
Learn more about equations here:
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jennas dogs used 9 chew toys last year. The animal shelter used 2,277 chew toys. How many times as many chew toys did the animal shelter use?
Answer:
253 is the answer
Step-by-step explanation:
Divide 2,277 and 9.
Consider the following Expression.
3(x+2)=-5-2(x-3)
What is the value of x?
this is
the equation on the math
The temperature was –30 C last night. It is now -40 C. What was the
change in temperature?
Answer:
-10 C
Step-by-step explanation:
It started out as -30 degrees, then went down to -40 degrees. Based on this, we can correct that if we add -10 degrees to -30, it will become -40 C.
Answer:
temperature decreased
more
Which describes the role of oxygen in photosynthesis? A. It is a reactant, so it is released by the plant. B. It is a product, so it is released by the plant. C. It is a reactant so it enters the plant. D. It is a product, so it enters the plant.
Answer:
B) It is a product, so it is released by the plant.
Step-by-step explanation:
- Plants release oxygen for humans and humans give carbon dioxide to plants.
- The role of oxygen in photosynthesis is a waste product.
Answer: The oxygen gas is a product, so it is released by the plant.
Explanation:
Photosynthesis is defined as the process by which the producers make glucose with the help of carbon dioxide and water in the presence of sunlight.
The chemical equation representing this reaction follows:
In the above reaction, oxygen gas is written on the product side. So, it is formed by the plant and is released.
Hence, the oxygen gas is a product, so it is released by the plan.
In the Mars Cars video game, players gain and lose points by avoiding or hitting obstacles on a martian race track. First, Gary gained 20 points by jumping over a crater. Then, he lost 45 points for getting stuck in a dust storm
Answer:
-25
Step-by-step explanation:
20 - 45= -25
Answer:
-25
Step-by-step explanation:
8 + 6 + 12 = __ + 12 + 6
Answer:
The number 8 goes in the blank,
Step-by-step explanation:
Its basic commutative property.
Hope this helps!
16/7 - 1/14 subtracting fractions
Answer:
31/14
Step-by-step explanation:
We first need to get common denominators, so we multiply the 16 and the 7 by 2, to get 32/12. Now we can subtract since the fractions have common denominators. After subtracting we get 31/14 or 2 3/14. Hope this helps!
Three consecutive odd integers sum to 15. What are the integers?
Emma and Murphy are friends. Murphy's age is six less than twice Emma's age.
a. Write an algebraic expression to represent Murphy's age.
b. If Murphy is 60 years old, how old is Emma?
Answer:
X=60+6×2
Step-by-step explanation:
Sorry im not great at math but i think that this would be the answer because Murphy is 6 years younger than Emma. It then says TWICE so i assume it means multiply by two. 6×2= 12 so Emma is 12 years older.
Identify the property used in the first four steps to solve the equation (FAST ANSWERS PLS)
4(x-7)=2x-6
Step 1: 4x-28=2x-6
Step 2: 2x-28=-6
Step 3: 2x=22
Step 4: x=11
9514 1404 393
Answer:
distributive propertysubtraction propertyaddition propertydivision propertyStep-by-step explanation:
1. The parentheses are eliminated. The distributive property lets you do that.
2. 2x is subtracted from both sides. The subtraction property of equality lets you do that.
3. 28 is added to both sides. The addition property of equality lets you do that.
4. Both sides are divided by 2. The division property of equality lets you do that.
plz help me!! Polynomial Long Division (Level 2)
f(x) = x2+9
g(x) = X-9
Find f(x)*g(x).
Answer:
f(x)g(x) = x³ - 9x² + 9x - 81
General Formulas and Concepts:
Distributions - Expanding with FOIL (First, Outside, Inside, Last)
Step-by-step explanation:
Step 1: Define
f(x) = x² + 9
g(x) = x - 9
Find f(x) · g(x)
Step 2: Find
Set up expression: f(x)g(x) = (x² + 9)(x - 9)Expand (FOIL): f(x)g(x) = x³ - 9x² + 9x - 81Can someone tell me the degree of g(x)
The x and y’s are on the chart. Just explain the 1st difference, the 2nd difference and so on...
Please no fake answers that are unrelated to this topic
Answer:
the degree of g(x) is 3:
[tex]g(x) = {x}^{3} - 4 [/tex]
At a fast food restaurant, customers are asked if they want to “round up” their bill to the next highest dollar and donate the additional money to charity. The cashier is instructed to tell the customer that their bill is X dollars and Y cents. Assume that the values of Y are equally likely to be any value from 0 to 99 cents and that customers are equally likely to “round up” regardless of the amount of their bill. The density curve below models Y, the donation amount. (a) What is the shape of the distribution of donations? (b) What proportion of donations are at least 85 cents? (c) What percent of donations are between 30 and 40 cents?
Answer:
(a) 0.1414
(b) 0.1010
Step-by-step explanation:
(a)
The density curve is rectangular in shape.
This implies that the distribution of donations is Uniform.
(b)
Compute the probability of donations at least 85 cents as follows:
[tex]P(X\geq 85)=\int\limits^{99}_{85} {\frac{1}{99-0} \, dx[/tex]
[tex]=\frac{1}{99}\times [x]^{99}_{85}\\\\=\frac{99-85}{99}\\\\=0.1414\\\\[/tex]
Thus, the proportion of donations that are at least 85 cents is 0.1414.
(b)
Compute the probability of donations between 30 and 40 cents as follows:
[tex]P(30\leq X\leq 40)=\int\limits^{40}_{30} {\frac{1}{99-0}} \, dx[/tex]
[tex]=\frac{1}{99}\times [x]^{40}_{30}\\\\=\frac{40-30}{99}\\\\=0.1010[/tex]
Thus, the probability of donations between 30 and 40 cents is 0.1010.
a) Calculate the magnitude of the angle a in the diagram above.
b) Find the length of OT
Answer:
angle a = 53.13 degrees and OT = 5cm
Step-by-step explanation:
Tan A = 4/3
A = 53.13
Please help and show the work thank you ! :)
Answer:
The Sidewalk is 16 yards^3
Step-by-step explanation:
To find the this answer its quite simple!
Anytime there's an area problem you would have to multiply to numbers to get the area
in this case 16 is the answer because when you multiply 16 * 16 you get the total area of 256 yards. hope this was understand able!
High Hopes^^
Barry-
ONE EASY FRESHMEN MATH QUESTION!!
Write a compound inequality that is represented by the graph.
5
6
7
8
9
10 11 12
13 14
15
A compound inequality using the variable x is
Answer:
7<x<14
Step-by-step explanation:
A company plans to launch a new product. They have traditionally had a 60% success rate with the launch of new products. Market research predicts that a positive test market results is 80% of successfully launched products and a positive market result for 30% of failed product launches. A) If a market test result comes back negative, what is the probability that the product will be successfully launched?
Answer:
The probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
Step-by-step explanation:
Denote the events provided as follows:
S = a product is successfully launched
P = positive test market result
The information provided is:
P (S) = 0.60
P (P | S) = 0.80
P (P | S') = 0.30
Then,
P (P' | S) = 1 - P (P | S) = 1 - 0.80 = 0.20
P (P' | S') = 1 - P (P | S') = 1 - 0.30 = 0.70
Compute the probability of positive test market result as follows:
[tex]P(P)=P(P|S)P(S)+P(P|S')P(S')[/tex]
[tex]=(0.80\times 0.60)+(0.30\times 0.40)\\\\=0.48+0.12\\\\=0.60[/tex]
The probability of positive test market result is 0.60.
Then the probability of negative test market result is:
P (P') = 1 - P (P)
= 1 - 0.60
= 0.40
Compute the probability that the product will be successfully launched given that the market test result comes back negative as follows:
[tex]P(S|P')=\frac{P(P'|S)P(S)}{P(P')}[/tex]
[tex]=\frac{0.20\times 0.60}{0.40}\\\\=0.30[/tex]
Thus, the probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
The prediction equation y = 5.92x + 119.21 models the median selling price, in thousands of dollars, of new homes in a certain area since 1995. Predict the median selling price in 2015.(Do not separate the numbers
Answer:
$237.61Step-by-step explanation:
given that the function to predict the price is
y = 5.92x + 119.21
x= the number of year,
given that we are predicting from 1995-2015
the difference is 20years
So put x=20 in the expression we have
y = 5.92(20) + 119.21
y=118.4+119.21
y=237.61
the median price is $237.61
A special 20-sided die is constructed so that each face has one of the following numbers on it: 1, 2, 3, or 4. The table below gives the probability of each value (with one value missing).
Answer: .6
Step-by-step explanation:
when you add up all of the probabilities you want them to equal 1, first you need to find the missing probability (.2) then add the probability of 1 and 3 the odd numbers to get .6
Four students decide to flip a coin a number of times and record their results. Dan flips his coin 5 times, Kelly flips her coin 25 times, Amando flips his coin 50 times, and Judah flips his coin 100 times. Whose results will most likely approach the theoretical probability?
Answer:
Judah
Step-by-step explanation:
Because the more times you do the same thing over and over again then average it the more accurate it becomes
A 12 m object is represented in a picture as being 2 cm. What is the scale?
Answer: 1:600
Step-by-step explanation:
From the question, we are informed that 12 m object is represented in a picture as being 2 cm.
To find the scale used, we needed to convert 12m to cm. Since 100cm = 1m, then 12m = 12 × 100 = 1200cm.
Therefore, a 1200cm object is represented in a picture as being 2 cm. The scale will be:
= 2/1200
= 1/600
= 1:600
This means that 1 centimeter in the picture represent 600 centimeter or 6 meters.
Ella purchased a 6-pack of cola for $3.84. What is the cost of 1 can of cola?
Answer:
$0.64
Step-by-step explanation:
6 cans of soda = $3.84
3.84 / 6 = 0.64
1 can of soda = $0.64
Answer:
$0.64
Step-by-step explanation:
Plz help ASAP and good explanation thank you
Round 21.994 to the nearest whole number.
Answer:
22
Step-by-step explanation:
21.994
5+ round up
List from least to greatest
Answer:
The answer is C
.......
what is this fraction as a decimal?
