Solve scale drawing problems Learn with flashcards, games, and more — for free. ... A plum tree is 7 inches tall on the scale drawing. What is ... The scale factor is 1/20. ... Josh wants to add a model of a tree to his model railroad layout. How big should the model tree be if the actual tree is 315 inches and the scale is 1:90?
Answer:
4.5 inches
Step-by-step explanation:
The scale factor is 1:20 which is 1/20, and the actual height is 90 inches.
First, write down the proportion:
1/20 = x/90
Multiply both sides by 90.
=> x = 90/20
=> x = 4.5in
Therefore, the height of the model is 4.5 inches.
Hope this helps :)
How to factor binomials?
Answer:
Let us consider a binomial expression
For example,
x²+(a+b)x+ab
x²+ax+bx+ab
x(x+a)+b(x+a)
(x+a)(x+b)
Therefore, the above binomial expression has two factors (x+a) and (x+b).
Now by numericals
Consider, x²+12x+35
[tex] {x}^{2} + 12x + 35\\Factors\:of\: 35\: is\: 5\: and\:7 \\ {x}^{2} + 5x + 7x + 35 \\ x(x + 5) +7(x + 5) \\ (x + 5)(x + 7)[/tex]
Here, (x+5) and (x+7) are the factors of the binomial expression x²+12x+35.
Answer:
Binomials are two-term expressions connected with a plus sign or minus sign, such as {ax+b}ax+b. The first term will always include a variable, while the second term may or may not. 1st: factoring is when you break a large number down into it's simplest divisible parts. Each one of these parts is called a "factor." So, for example, the number 6 can be evenly divided by four different numbers. 2nd: A binomial is simply the addition or subtraction of two numbers, at least one of which contains a variable. Sometimes these variables have exponents, like x^5 or 5y^6. 3rd :When first factoring binomials, it can help to reorder equations with ascending variable terms. This means you find the highest possible number that both parts of the binomial are divisible by. If you're struggling, simply factor both numbers on their own, then see what the highest matching number is.
Step-by-step explanation:
Show steps please, Need answer ASAP
Sam needs a bowll to mix her punch. She has a 2-cup bowl, a 4-cup bowl, and a 6-cup bowl. What is the smallest bowl Sam can use to make the punch? Explain.
Answer: 2-cup bowl
Step-by-step explanation:
Given: Sam has 2-cup bowl, a 4-cup bowl, and a 6-cup bowl.
here, Quantity in 2-cup < Quantity in 4-cup < Quantity in 6-cup .
So, 2-cup bowl is the smallest bowl with the least capacity.
So, if Sam is interested to make the punch in the smallest bowl, then she will absolutely take 2-cup bowl.
Hence, the smallest bowl Sam can use to make the punch =2-cup bowl
Which angle is supplementary to angle # 3? (Brainliest + Bonus points for the best correct and explanatory answer)
SAT/ACT If n is divisible by 2,5, and 14, which of
the following is also divisible by these numbers?
A n+7
D n + 20
B n + 10
E n + 70
C n + 14
Answer:
Option E : n+70 is the correct answer.
Step-by-step explanation:
Given that:
n is divisible by 2,5 and 14.
We have to add a number to n which will make the resulting number also a divisible of 2, 5 and 14.
Therefore,
We will add a number that is multiple of 2,5 and 14
Here,
7 is not a multiple of 2,5 and 14.
20 and 10 are multiples of 2 and 5 but not 14.
70 is a multiple of 2,5 and 14.
14 is a multiple of 2 and 14 but not 5.
Hence,
Option E : n+70 is the correct answer.
The radius of a circular sign is 12 inches. Equal parts of the sign are painted red and yellow. How many square inches are painted in each color? Use 3.14 for Pi
Answer:
226.08 square inches
Answer:
Step-by-step explanation:
First we find Area
12^2* 3.14= 452.16
Then we know that half of the sign is painted red and the other half is painted yellow
452.16 / 2 = 226.08
226.08 square inches is painted yellow and 226.08 square inches is painted red
Sara needs 3/4 cups of sugar to make 1/2 of her brownie recipe. How much sugar does she need to make the entire recipe?
Answer:
1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}[/tex]+[tex]\frac{3}{4}[/tex]=[tex]\frac{6}{4}[/tex]
Suppose a point at (2,3) is translated to (7, -1). What rule describes this translation
How many solutions?
у
The neighborhood park has a rectangular shape. What is the perimeter of the park?
Step-by-step explanation:
perimeter formula is adding up all the sides
so
5x-40 + 5x-40 + 3x-18 + 3x -18
= 16x -116
Examples of long division?
Determining if a function is linear which table represent a linear function?
Answer: It’s the last one, D
Step-by-step explanation: because It’s the last one, D
The correct function which is linear shown in table 4.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
To find a function is linear which table represent a linear function.
Now, From table 4;
Rate of change are,
⇒ (3 - 1) / (1 - 0)
⇒ 2
⇒ (5 - 3) / (2 - 1)
⇒ 2
Thus, The correct function which is linear shown in table 4.
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3x + 2 + 11x=
I'm confused....
Answer:
i think you put a 0 if there is nothing there
if you need more help let me know :)
Step-by-step explanation:
3x + 2 + 11x=0
14x+2=0
14x=-2
x=-1/7
The cost of a game g with 7% sales tax can be represented by the expression g + 0.07g. Simplify the expression. Then determine the total cost of the game after sales tax if the original price is $52. (Remember that the coefficient of g is 1).
Answer:
$58.64
Step-by-step explanation:
The total cost of a game g with 7% sales tax can be represented by the expression
g + 0.07g
From the above question,
g = Original price of the game = $52.
The total cost of game g =
$52 + 0.07 × $52
$52 + $3.64
= $58.64
What is the slope of the line that goes through the points (1,4) and (13,10)?
Answer:
The slope is 1/2 :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
(10 - 4)/(13 - 1) = 6/12 = 1/2 is the slope of the line
Can anyone help me with this question .
Please do not answer if you do not know .
Answer:
D. y=6x-5
Step-by-step explanation:
the equation for a linear line: y=mx+b
m: slope
b: y-intercept
you know that m=6 and b=-5
plug the values into the equation
y=6x-5
Answer:
i do not know ._.
Step-by-step explanation:
Help ASAP !!!!!!!!!!!!!!!
Answer:
2 5/6Step-by-step explanation:
1 1/2 + 1 1/3 is 2 5/63x+1 =7 solve the 2 step equation
Answer:
The value for x is 2
Step-by-step explanation:
3x+1=7
3x=6
x=2
help pls i give brainliest pls
Answer:
7 years older than jason
Step-by-step explanation:
-10 + 3 = -7 is an equation
7 years older than jason cannot be converted into an equation bc there's not enough info, so it is not.
x + 7 = 20 is an equation
three times a number is twelve, so 3x = 12, which is an equation
Y=x (58 power) /5
solve for y
Answer:
y = x^58/5
Step-by-step explanation:
Nothing further can be done with this topic. just remove the parentheses and it becomes x^58 and u cannot dive because they’re like terms
pls help with this, I'm confused
Answer:
Step-by-step explanation:
Elaine opened a savings account with a deposit of $1000. The interest on her account is compounded each year at a rate of 2%. Elaine will not make any additional deposits to or withdrawals from her account. What will be the balance in Elaine's account at the end of 3 years? Round your answer to the nearest whole dollar.
Answer:
$1,061.21
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Present value (PV) = $1,000
Rate of interest compounded yearly (r) = 2%
Time period (n) = 3
So, we can calculate the future value (FV) by using following formula,
Future Value = PV(1 + r)^n
By putting the value, we get
FV = $1,000 ( 1 + 0.02)^3
= $1,000 ( 1.02)^3
= $1,000 ( 1.061208)
= $1,061.21
use the given functions to answer the question.
f(x)=x^2+2x-5
g(x)--3x^2-4x+1
what is f(x)-g(x)
-2x²-2x-4
Is the answer. I know because I took the test.
*starts crying from happiness*❤️❤️❤️❤️❤️❤️❤️❤️❤️
Step-by-step explanation:
HELP WHAT IS THE RECIPROCAL OF 3 5/6
Answer:
6/23
Step-by-step explanation:
what's the length of the hypotenuse
Step-by-step explanation:
[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = {15}^{2} + {15}^{2} \\ {c}^{2} = 450 \\ c = \sqrt{450} = \sqrt{ {15}^{2} \times 2 } = 15 \sqrt{2} [/tex]
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
O A. Yes, because 92 + 122 = 152
B. No, because 9 + 12 15.
C. Yes, because 92 + 122> 152.
D. No, because 92 + 122 + 15 ^2
Answer:
A yes
Step-by-step explanation:
you use the pythagorean theorem
Answer:
B
Step-by-step explanation:
Given that events A and B are independent with P(A) = 0.52 and
P(BA) = 0.35, determine the value of P(B), rounding to the nearest
thousandth, if necessary,
Answer:
3.5
Step-by-step explanation:
On a highway, a random sample is taken of the speed, in mph, of 50 cars. A mean speed of 61.8 mph is calculated with a margin of error of +2.3 for a 95% confidence interval What is the interval estimate of the population mean?
A) 58.7 <h<64.9
B)59.5<h<61.8
C)59.5<h<64.1
D)61.8<h<64.1
The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
The interval estimate of the population mean can be found out using the following formula:
[tex]\overline X\pm MOE[/tex]
Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.
On a highway, a random sample is taken of the speed, in mph, of 50 cars.
A mean speed is 61.8 mphThe margin of error is +2.3 The confidence interval is 95%Put the values in the above formula as,
[tex]61.8\pm 2.3\\59.5,641[/tex]
Thus, the interval estimate of the population mean
[tex]59.5 < h < 61.8[/tex]
Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
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Heather performs an experiment to measure the acceleration of an object due to earths gravitational and discovers the acceleration of an object is 10.91 meters per second. The actual acceleration of the object is 9.80 meters per second.
The percentage error in the acceleration is 11.3%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The actual acceleration of the object is 9.80 meters per second.
The acceleration of an object is 10.91 meters per second.
Now,
Percentage error.
= (Experiment acceleration - Actual acceleration) / Actual acceleration x 100
= (10.91 - 9.80) / 9.80 x 100
= 1.11 / 9.80 x 100
= 11.33 %
Thus,
The percentage error is 11.3%.
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