5(x – 2) = 30 Help her follow these steps to finish solving for x.
5(x-2) = 30
distribute the 5 by multiplying it with what is inside the parenthesis
5x-10 = 30
add 10 to both sides:
5x = 40
divide both sides by 5
x = 40/5
x = 8
Which equation correctly applies the distributive property?
−1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25
−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6
(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)
70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
How many 3/4 cup servings are in 1/2 of a cup of milk? Write your answer in simplest form.
The number of 3/4 cup servings that are in 1/2 of a cup of milk is [tex]\frac{2}{3}[/tex]
In order to determine the number of 3/4 cup servings that are in 1/2 cup of milk, divide the fraction of the cup of milk by the fraction of cup servings
Cup of milk ÷ Number of cup servings
= [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex]
[tex]\frac{1}{2}[/tex] x [tex]\frac{4}{3}[/tex]
= [tex]\frac{4}{6}[/tex]
In order to express the answer in its simplest form, divide the numerator by two and the denominator by 2. The numerator and the denominator are both divided by two because two is a common factor of 4 and 6
= [tex]\frac{2}{3}[/tex]
Please check here to learn how to divide fractions: https://brainly.com/question/7722714?referrer=searchResults
y = -3x - 2
4y = -12x - 8
how many solutions does the system have?
Final answer:
The system of equations y = -3x - 2 and 4y = -12x - 8 is dependent with an infinite number of solutions because both equations represent the same line.
Explanation:
The system of equations given is:
y = -3x - 2
4y = -12x - 8
If we examine the second equation, we can simplify it by dividing everything by 4, yielding:
y = -3x - 2
Both equations are now identical, which implies that they are the same line graphed on a coordinate plane. The system is considered dependent, and the number of solutions is infinite because every point on the line y = -3x - 2 is a solution to the system.
what is the simplified value of 40+2⋅3−2 and 40+2⋅3−2 and 9+32−1⋅4
Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer.
Haruka hiked several kilometers in the morning in the morning. She only hiked 6 kilometers in the afternoon, which was 25% less she had hiked in the morning. How many kilometers did haruka hike in all?
The complete distance Haruka hiked can be calculated by converting the percent to decimal.
The total distance is 14 km Haruka hike in all.
Given:
She hiked in afternoon is [tex]6\: \rm km[/tex].
Let the distance hiked in morning is [tex]x[/tex].
As per the question, 6 kilometers 25% less she had hiked in morning.[tex]\begin{aligned}\left(\dfrac{100\%-25\%}{100}\right)x&=6\\0.75x&=6\\x&=\dfrac{6}{0.75}\\x&=8\\\end[/tex]
Therefore, Haruka hiked [tex]8\:\rm km[/tex] in morning.
Calculate the total distance hiked.
[tex]\rm Total\: distance=8+6=14 \:\rm km[/tex]
Thus, the total distance is 14 Km Haruka hike in all.
Learn more about percent is here:
https://brainly.in/question/6495601
PLEASE HELP 20 POINTS
Calculate the Average Time and Average Speed for each vehicle.
Car 1 Car 2
Trial 1 = 4.12 seconds 8.33 seconds
Trial 2 = 4.41 seconds 8.25 seconds
Trial 3 = 3.96 seconds 8.66 seconds
Average Time = ? ?
Distance = 2 meters 2 meters
Average Speed= ? ?
Divide. Use partial quotients. 1056÷48
The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold. $966 = $14t
Please help! Which of the following is an example of an open equation? 5x+7=12 12+(-8)=4 25=5(5) 8+0=8
Plz Helppppp and can u explain why ?
Karen wants to buy a $22.50 jacket that is marked 20% off. Select from the drop-down menu to correctly complete the sentence. The best estimate for the discount can be found using the expression
discount = price times % off
discount = 22.50 x 0.20
discount = $4.50
Answer:
[tex]\$22.50*0.20=\$4.50[/tex]
Step-by-step explanation:
Let
x-------> original price
y------> percentage of discount
z-----> discount
we know that
[tex]z=xy[/tex]
In this problem we have
[tex]x=\$22.50[/tex]
[tex]y=20\%=\frac{20}{100}=0.20[/tex]
Substitute the values
[tex]z=\$22.50*0.20=\$4.50[/tex]
What is the value of expression? 57.8 x 64 HELP PLEASE ASAP
Which table shows a proportional relationship? x 1 2 3 4 5 y 9 10 11 12 13 b 1 4 5 7 11 c 3 12 15 21 33 p 1 3 5 7 9 q 0 2 4 6 8 r 3 6 10 12 15 s 2 4 6 8 10
Proportional relationships are relationships between two variables where their ratios are equivalent. b and c represents Proportional relationships.
What is proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent
The first table is
x 1 2 3 4 5
y 9 10 11 12 13
The ratios are not same
1/9, 2/10=1/5, 3/11, 4/12=1/3, 5/13
So it is not a proportional relationship.
b 1 4 5 7 11
c 3 12 15 21 33
The ratios are same .
1/3, 4/12=1/3, 5/15=1/3, 7/21=1/3, 11/33 =1/3.
Hence b and c table shows proportional relationship.
p 1 3 5 7 9
q 0 2 4 6 8
The ratios are not same it does not show proportional relationship.
r 3 6 10 12 15
s 2 4 6 8 10
The ratios are not same it does not show proportional relationship.
Hence the table b and C shows proportional relationship.
To learn more on Proportional relationship click:
https://brainly.com/question/12917806
#SPJ5
Simplify and express the answer as a decimal. (−3+6) 2 ÷4.5
Jodys older brother is only three years less than twice Jodys age. If the sum of their ages is 30, then which of the following is the age of jodys brother? A)7 B)11 C)19 D)23
Jody's older brother's age can be found using the equation x + 2x - 3 = 30 and solving for x. The answer is C) 19.
Explanation:To solve this problem, we can set up an equation using Jody's age and Jody's older brother's age. Let's let Jody's age be x. According to the problem, Jody's older brother is three years less than twice Jody's age, so his age is 2x - 3. The problem also tells us that the sum of their ages is 30, so we can write an equation: x + (2x - 3) = 30. Solving this equation will give us the age of Jody's older brother.
Combining like terms and solving the equation, we get 3x - 3 = 30. Adding 3 to both sides, we get 3x = 33. Dividing both sides by 3, we find that x = 11. Therefore, Jody's older brother's age is 2x - 3 = 2(11) - 3 = 22 - 3 = 19.
So, the correct answer is C) 19.
Learn more about algebra here:https://brainly.com/question/24875240
#SPJ2
If Sam invested $3,000 and he earned $300 over six months, the principal is _____.
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Answer: Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
What is the distance between -7.5 and -15.3 on a number line
The distance between points -7.5 and -15.3 on a number line is 7.8.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The numbers on number line are -7.5 and -15.3.
Now, Distance between -7.5 and -15.3 can be calculated as;
= - 7.5 - (-15.3)
= - 7.5 + 15.3
= 7.8
Thus, The distance between points -7.5 and -15.3 on a number line is 7.8.
Learn more about the number line visit:
https://brainly.com/question/13550165
#SPJ2
Beth read 10 pages in a book stopping at the top of page a on what pages did she begin
Find sum or difference.
1/6 + 3/8
A. 4/6
B. 4/8
C. 4/14
D. 13/24
find common denominator:
6*4 =24, 8*3 = 24
1/6 = 4/24
3/8 = 9/24
4/24 + 9/24 = 13/24
Answer is D
Which diagram does not result in the expression 4x+4
1/4 0f 15? What is the answer
Solve the equation 1/8x=5
The value of x in the equation is 40.
How to solve equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
In other words, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Therefore, let's solve for the variable x in the equation as follows;
1 / 8 x = 5
cross multiply
x = 8 × 5
x = 40
The value of x is 40.
learn more on equation here: brainly.com/question/30936704
#SPJ6
A shoe store marks up its merch by 8%. What was the selling price of a pair of shoes whose wholesale price is $24.50?
from 91 books to 145 books
find the percent increase. round to the nearest percent.
Factor the expression. 50k^3 – 40k^2 + 75k – 60
Answer:
ur final answer will be 5 x (2k^2+3) x (5k-4). its correct i just did the test
Step-by-step explanation:
Ali's dog weighs 8 times as much as her cat.together,the two pets weigh 54 pounds. How much does Ali's dog weigh?
How do you turn percents into fractions?
Step 1: You want to remove the percent sign and then put the number over 100.
Step 2: If the percent is not a whole number then you want to multiply the top and bottom number by 10 but only for every number that comes after the decimal point.
Step 3: Always simplify if possible.
Examples:
43% = [tex]\frac{43}{100}[/tex]
78% = [tex]\frac{78}{100}[/tex] = [tex]\frac{39}{50}[/tex]
0.4% = [tex]\frac{0.4}{100}[/tex] = [tex]\frac{4}{1000}[/tex] = [tex]\frac{1}{250}[/tex]
Converting percents to fractions involves writing the percent as a fraction with a denominator of 100 and then simplifying. For example, 75% is equivalent to 75/100, which simplifies to 3/4. Decimals can be converted to percents by multiplying by 100 and adding the percent sign.
Converting Percents to Fractions
To convert a percent to a fraction, start by writing the percent value as a fraction with a denominator of 100. For example, 75% would be written as 75/100. The next step is to simplify the fraction if possible. To simplify, you find the greatest common divisor (GCD) of the numerator and the denominator and divide both by this number. For instance, the GCD of 75 and 100 is 25, so when we divide both the numerator and the denominator by 25, we get 3/4. Hence, 75% as a fraction in simplest terms is 3/4.
When converting to decimals, simply divide the numerator by the denominator. So, 75% becomes 0.75 when turned into a decimal. Conversely, to convert a decimal to a percent, you multiply by 100 and add the percent symbol (%). For instance, converting the decimal 0.75 to a percent, you would calculate 0.75 * 100 which equals 75%, completing the conversion.
Calculating percents is about understanding the ratio or fraction that the percent represents. The term 'percent' literally means 'per hundred', so any percent can be thought of as that number over 100. For example, 3% means 3/100 and 100% represents a whole or 1 as it's equivalent to 100/100.