The area will change if the scale factor length is increased or reduced.
Option A is the correct answer.
What is the scale factor?
This refers to the extent to which a shape is increased or reduced. It is used in drawings of shapes eg rectangles, squares, circles, etc.
What is area?
This refers to the total space occupied by a particular shape or object. it is measured in square meters,m².
The area of an object can change, if the scale factor is increased or reduced by a particular amount.
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Which comparison is true?
A. 0.680 > 0.68
B. 0.74 = 0.740
C. 0.51 < 0.510
D. 0.990 < 0.99
Answer:
The answer is B
Ravi makes lemonade by mixing lemon juice and water.
For every 1 cup of lemon juice, he uses 4 cups of water.
We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.
We know that the lemonade recipe is:
1 cup of lemon juice and 4 cups of water.
This gives us a total of:
1 cup + 4 cups = 5 cups of lemonade.
Then if we want 10 cups of lemonade, we just need to use the double of each one of the ingredients.
this is:
2*(1 cup) = 2 cups of lemon juice
2*(4 cups) = 8 cups of water.
We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.
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Solve the following proportion
X/2 = 8/9
Ross is saving up to buy a new car. he has been saving for 12 months and so far he has $3,200.in another 12 months, he expects to have $8,000.how much is ross saving each month during his 2nd year saving?
Answer:
$400
Step-by-step explanation:
For the first 12 months, he saved
3200/12
= $266.7 each month
In another 12 months,
= $3,200 + x = $8000
(Use x as the unknown total money)
= 8000 - 3200
= 4,800
So, in another 12 months, his total savings will be $4,800
For each month,
= 4,800/12
= $400
HELP ME PLEASE TYYYYY
Answer:
66
Step-by-step explanation:
The ratio of guinea pigs to the total number of animals is 5:11.
So, there are (30)(11/5)=66 animals in all.
can you please help me I need 22 and 23
22. the coordinates are:
[tex]Q(-8,7),R(-7,2),S(-8,13),t(-11,-2)[/tex]So to know if the are parallel or perpendicular we have to calculate the slopes so:
For QR
[tex]m=\frac{2-7}{-7-(-8)}=-\frac{5}{1}=-5[/tex]For ST
[tex]m=\frac{-2-13}{-11-(-8)}=-\frac{15}{3}[/tex]So they are not parallel or perpendicular.
23. the coordinates are:
[tex]Q(-1,4),R(-1,-9),S(11,-2),T(11,6)[/tex]Now the slopes are
For QR
[tex]m=\frac{-9-4}{-1-(-1)}[/tex]This is undefine so is a vertival line
for ST:
[tex]m=\frac{8-(-2)}{11-11}[/tex]Is undefine so is also a vertical line, this means that they are parallel
Find the coefficient of the term x^5 in 2x^5+5x^4-9x+5
Solution:
Given:
[tex]2x^5+5x^4-9x+5[/tex]A coefficient is a number multiplied by a variable.
Hence,
[tex]The\text{ coefficient of }x^5\text{ is 2}[/tex]Therefore, the coefficient is 2.
Aliyah left the airport and traveled home at an average speed of 40 km/h.
Shanice left at the same time and traveled in the opposite direction with an
average speed of 60 km/h. How long does Shanice need to travel before they are
300 km apart?
Answer:
3 hoursStep-by-step explanation:
When moving in opposite directions from the same point the speeds add up.
Total speed:
60 + 40 = 100 km/h
Distance is 300 km, find the time.
time = distance / speedt = 300/100t = 3 hoursAnswer:
Time = 3 hours
Step-by-step explanation:
The total speed is,
→ 40 km/h + 60 km/h
→ 100 km/h
Formula we use,
→ v = d/t
Then the time taken will be,
→ v = d/t
→ 100 = 300/t
→ 100 × t = 300
→ t = 300/100
→ [ t = 3 ]
Hence, answer is 3 hours.
i have three number cards. the median is 4. if the range is 3, whats the missing number?
The missing number in those three card are 5 and 2 when the median is 4 and the range is 3.
Median:
Median refers the middle value of the given set of numbers.
Given,
i have three number cards. the median is 4.
Here we need to find the missing number when the range is 3.
Let us consider x and y be the missing number.
We know that, the range is difference of smallest and largest number,
So, we can write it as,
x - y = 3
Now, we know that the median is the middle value
Then it can be written as,
y, 4, x
The smallest possible values of y is 1, 2, and 3
Similarly, the possible values of x is 5, 6, 7
But based on the value of range we have only take the values, 5 and 2.
Because that one is satisfies the condition of range.
Therefore, the missing numbers are 5 and 2.
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Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (5,-1) Midpoint: (5,-4)
The formula for calculating the midpoint of a line segment is given below
[tex](x,y)=\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}[/tex]Where the values are
[tex]\begin{gathered} x=5,y=-4 \\ x_1=5,y_1=-1 \end{gathered}[/tex]By substituting the values, we will have
[tex]\begin{gathered} (x,y)=\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2} \\ (5,-4)=\frac{(5_{}+x_2)}{2},\frac{(-1_{}+y_2)}{2} \end{gathered}[/tex]By comparing coefficient, we will have
[tex]\begin{gathered} \frac{(5_{}+x_2)}{2}=5 \\ \frac{(-1_{}+y_2)}{2}=-4 \end{gathered}[/tex]Cross multiply to get the values of x2
[tex]\begin{gathered} \frac{(5_{}+x_2)}{2}=5 \\ 5+x_2=10 \\ \text{substract 5 from both sides} \\ 5-5+x_2=10-5 \\ x_2=5 \end{gathered}[/tex]Cross multiply to get the values of y2
[tex]\begin{gathered} \frac{(-1_{}+y_2)}{2}=-4 \\ -1+y_2=-8 \\ \text{add 1 to both sides} \\ -1+1+y_2=-8+1_{} \\ y_2=-7 \end{gathered}[/tex]Hence,
The coordinate of the other endpoint is ( 5, -7 )
jack weighs 13 more pounds than his brother andy if a expression to represent jackd weight.
When we are told that the weight of Jack is 13 pounds more than the weight of his brother this means that the weight of Jack (y) is the weight of his brother (x) plus 13 pounds, then we can express Jack weight with the equation:
y=x+13
(Solving quadratic equations) Hello, I need help with just 3 questions. Thanks :)
Answer:
Check the pic i attached
The equation for line j can be written as y= 1/8 x+7. Parallel to line j is line k, which passes through the point ( – 3, – 1). What is the equation of line k?
Answer:
please help I need thos answer too
Step-by-step explanation:
I wish I knew the answer to this I have 20 mins to be dont and I've already spend 10 on this question
Directions: Solve each system of equations algebraically. Verify the solution using the graph of the system. 1. y=-x-4 y=3.x y 5
y=-x-4 (a)
y=3x (b)
Put (b) into (a) and solve for x:
3x=-x-4
3x+x = -4
4x= -4
Divide both sides by 4
4x/4 = -4/4
x= -1
Replace the value of x on any equation:
y=3x = 3(-1) = -3
Solution : (-1,-3)
Graph:
Use the table below to determine whether the argument is valid. TableI start to fall asleep if I read a math book. I drink soda whenever I start to fall asleep. If I drink a soda, then I must eat a candy bar. Therefore, if I read a math book, then I eat a candy bar.The argument is _____________
Okay, here we have this:
Considering the provided information, we obtain the following:
I read a math book. (p)
I start to fall asleep (q)
I drink soda (r)
I must eat a candy bar. (s)
Therefore:
I start to fall asleep if I read a math book. This can be rewritten as: "if I read a math book then I start to fall asleep". And this is p⇒q.
I drink soda whenever I start to fall asleep. This can be rewritten as:"if I start to fall asleep then I drink soda" . And this is q⇒r.
If I drink a soda, then I must eat a candy bar. And this is r⇒s
Now, we need to check: "If I read a math book, then I eat a candy bar.". That is p⇒s.
So, according with the table this argument satisfy the Transitive Reasoning, so this means that the argument is valid.
Simplify 3p²-2q+2p² +17-q?
F p²-3q+17
G 5p²-3q+17
H p²-q+17
J5p²-q+17
Answer: The answer is G 5p²-3q+17
Step-by-step explanation:
Billie opened a savings account, which pays 3% intrest per year. If she had a balance of $14,935 after one year, how much was her original deposit?
Answer: 27.50
Step-by-step explanation:
solving inequalities in real life 5. Dennis is selling chocolate bars for a fundraiser, and if he sells over $175 worth of candy, he'll win a prize. If chocolates sell for $2.50 a bar, and Dennis has already sold $40 worth of candy, then how many more bars does he have to sell in order to win a prize? 6. The a roller-cod inches ta grows ab months w coaster?
Start by putting the inequality in the form
[tex]ax+c>d[/tex]in this case c wil be how much he has sold, and d will be how much he needs to sell, and a is the price for the bar.
it would look like this
[tex]2.5x+40>175[/tex]solve it like a regular equation
[tex]\begin{gathered} 2.5x>175-40 \\ 2.5x>135 \\ x>\frac{134}{2.5} \\ x>54 \end{gathered}[/tex]He will have to sell over 54 bars to win the prize.
what is the answer to 3v²/v
Answer:
3v
Step-by-step explanation:
When we are dividing two terms with the same base and different exponents, we keep the base and subtract the exponents. So
[tex]\frac{3v^2}{v}=3v^{2-1}=3v[/tex][tex]undefined[/tex]Ronan and Kelsey each think of a number.
2 less than Ronan's number is equal to 4
lots of Kelsey's number.
3 lots of Ronan's number added to Kelsey's
number is 97.
Using the information above, write and
solve two simultaneous equations to work
out Ronan and Kelsey's numbers.
The 2 equations which can be used to solve the given situations of the numbers are:
x - 2 = 4x3x + x = 97What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, the equations that can be formed are:
Let, Ronan's number be 'x' and '4x' be Kelsey's number.
(1) x - 2 = 4xNow, solve as follows:
4x - x = -23x = -2x = -2/3Ronan's number be: -2/3
Kelsey's number be: 4 × 2/3 = -8/3
Let, let, Kelsey's number be 'x' and Ronan's number be '3x'.
(2) 3x + x = 97Now, solve as follows:
4x = 97x = 97/4x = 24.25Ronan's number be: 72.75
Kelsey's number be: 24.25
Therefore, the 2 equations which can be used to solve the given situations of the numbers are:
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−2×(−6)=?[tex]−2×(−6)=?[/tex]
When -2 is multiplied by (-6) the result is 12
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication.
Multiply in mathematics refers to the continual addition of sets of identical size.
When negative signs multiply each other the result is a positive sign also when positive signs multiply each other the result is a positive sign
However, when the signs are not same the result is always negative
In the given problem, the signs are same like negative 2 and negative 6
hence the result is a positive sign
and the quantity 2 multiply the quantity 6 gives 12
therefore -2 * -6 = 12
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A line has a slope of
9 and includes points (9,d) and (8,3). What is the value of d?
The value of 'd' will be;
⇒ d = 12
What is Equation of line?
The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A line has a slope of 9 and includes points (9, d) and (8, 3).
Now,
We know that,
Slope of line (m) = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (3 - d) / (8 - 9)
⇒ 9 = (3 - d) / (-1)
⇒ - 9 = 3 - d
⇒ d = 3 + 9
⇒ d = 12
Thus, The value of 'd' will be;
⇒ d = 12
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40 students participated in track. This was 5% of the students at the school. How many students attend the school?
Answer: 800 students
If there are 40 students who participated and that's 5% of the entire school. 100% of the entire school would be 800.
PLEASE ANSWER I NEED THIS FOR A UNIT TEST AND I DON'T WANT TO FAIL
we will have to follow given below steps if we want to plot this inequality x is less than or equal to 2.6.
What is linear inequality and examples?A linear inequality is formed by any two real numbers or any two algebraic expressions marked by the symbols "," ">," "," or "." Ones of numerical inequality include 911 and 18>17, while algebraic examples include x+7>y, y10-x, and x y > 11
How do you identify a linear inequality?One of the inequality symbols is present in a linear inequality:. It displays non-equal data in graph style. With the inequality sign in place of the equality sign, a linear inequality appears exactly like a linear equation.
The values of x that satisfy the inequality must be determined before we may graph the inequality x = 2.6 on a number line. This can be done by changing x to a variety of values and observing which ones cause the inequality to hold true. When x is less than or equal to 2.6, we know that the inequality x = 2.6 is true. This means that the inequality will be satisfied for any value of x that is lower than or equal to 2.6. This has a range of inclusive values from -infinity to 2.6. We can use a dotted line spanning from negative infinity to 2.6 to graph the inequality on a number line. We would insert a dot for each number between negative infinity and 2.6, including 2.6 itself, since the dots on the line denote the numbers in the range. The dots on the line represent the integers in the range, which spans from negative infinity to 2.6. (i.e., all numbers less than or equal to 2.6). The open circle at 3 shows that the number is outside of the range, while the solid point at 2.6 indicates that the number is within the range.
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150 is 15% of what number?
If 150 is the 15%, to find which number is the 100% we use the rule of 3
[tex]\begin{gathered} x\to100 \\ 150\to15 \end{gathered}[/tex]and the rule say that:
[tex]\begin{gathered} x=\frac{100\times150}{15} \\ x=1000 \end{gathered}[/tex]Please please help me it needs to be in for tomorrow :(
Answer:
[tex]2.44 \times 10^6[/tex]
Step-by-step explanation:
[tex]R=\frac{(3.8 \times 10^5)^2}{5.9 \times 10^4} \\ \\ =\frac{14.44 \times 10^{10}}{5.9 \times 10^4} \\ \\ \approx 2.44 \times 10^6[/tex]
Answer:
I hope it helps .The final answer is 2,447 × 10 to the power of 3
what is this answer
6p>48
Answer: p is greater than or equal to 8
Step-by-step explanation:
To isolate the variable (p) you divide both sides of the equation by 6 to get p by itself and the answer comes out clean because 48 is a multiple of 6.
Answer:
Divide both sides by the same factor
6p > 48
6p > 48
--- ---
6 > 6
result
p > 8
Write an explicit formula for a_na
nthe n^{\text{th}}n
th
term of the sequence 8, 4, 2, ...8,4,2,....
The explicit formula of the sequence is aₙ = 8(1/2)ⁿ
How to determine the explicit formula of the sequence?From the question, we have the following sequence that can be used in our computation:
8, 4, 2
In the above sequence, we can see that the previous term is divided by 2 get the current term
using the above as a guide,
so, we have the following representation
aₙ = aₙ₋₁/2
When represented explicitly, we have
aₙ = a * rⁿ
So, we have
aₙ = 8 * (1/2)ⁿ
Evaluate the products
aₙ = 8(1/2)ⁿ
Hence, the explicit formula is aₙ = 8(1/2)ⁿ
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Given the slope and y-intercept of the line, write the equation in slope-intercept form. Slope = -2/5 and y-intercept = 3
Answer:
Below
Step-by-step explanation:
Slope-y-axis -intercept form is y = mx + b
y = - 2/5 x + 3 Done.
jo buys a pair of boots for £63 in a sale she saves 1/10 of the original price of the boots how much money does she save
Answer:
She saves £6.30
Step-by-step explanation:
You multiply 63 by 1/10 to get 6.30 this is how much she saves