Answer:
Actual distance is 4500 cm (45 m).
Step-by-step explanation:
A scale is a representative fraction that can be used to either increase or decrease proportionally the dimension of a given object.
scale = [tex]\frac{distance on map}{actual distance}[/tex]
It is in the form of a ratio.
From the question, Distance on map = 4.5 cm,
scale = 1 : 1000
= [tex]\frac{1}{1000}[/tex]
scale = [tex]\frac{distance on map}{actual distance}[/tex]
Let the actual distance be represented by d.
So that,
[tex]\frac{1}{1000}[/tex] = [tex]\frac{4.5}{d}[/tex]
⇒ d = 4.5 x 1000
= 4500
d = 4500
The actual distance is 4500 cm (45 m).
Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x - 6.
Answer:
y = -0.25x + 2.25
Step-by-step explanation:
First, you can simplify the equation of the line it's perpendicular to (2y = 8x - 6) by dividing both sides by 2. This means you would get y = 4x - 3. From that you can conclude that the slope of that line is 4.
Lines always have a slope that is the negative reciprocal of the slope of the line they are perpendicular to, so you know the slope of the line is going to be -1/4.
So far, you have the equation y = -1/4x + b and you have to find b.
You can substitute in the point (-3, 3) so you would have 3= -1/4 * -3 + b
Solving,
3 = 3/4 + b
b = 2 and 1/4
Therefore the equation is y = -1/4x + 2 1/4 or y = -0.25x + 2.25
If a straight path in the park is 900 feet long, how long would the path be when represented on the map?
Answer:
4.5 inches
Step-by-step explanation:
It depends on what map you have but if you were handed but on a standard map it would be 4.5 inches
Answer: 4.5 inches
Step-by-step explanation:
You estimate that a puppy weighs 12 pounds. The actual weight of the puppy is 14 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.
Answer:
The Estimated weight of the puppy = 12 pounds
Actual weight of the puppy = 14 pounds
Difference in estimated weight and actual weight = 14 - 12
= 2 pounds
⇒ [(14 - 12)*100]/14
⇒ (2*100)/14
⇒ 200/14
⇒ 14.285 %
Write the equation for the proportional relationship. (Don't use spaces)
what equation matches this situation.mai biked x miles han biked 2/3 more than that
Answer:
i need more information like how much mai biked
Step-by-step explanation:
Find the x-intercept and y-intercept of the line.
- 8x+ 5y = 18
Write your answers as exact values. Do not write your answers as ordered pairs.
x-intercept:
Y-Intercept:
can someone help me with this?
please answer the question
Answer:
It is B
Step-by-step explanation:
If you multiply 35 with the number on the left of the chart, it gives the exact number, thus it is correct
Pls help.. my question is... .. Solve: 5 - 2x < 21
Answer
The answer is x > -8
help this is my midterm
Answer:
Solution given:
relationship between perpendicular and hypotenuse is given by sin angle
sin angle =P/h
angle=sin-¹(7/12)=35.68
so
your option is b.36.
At T.J. Maxx, keychains are sold individually. The cost y of keychains is represented by the equation y = 0.95x . The costs of keychains at Marshalls are shown in the table below. Where do the keychains cost?
What is the best approximation for the value of √140?
Answer:
the best approximation is 2√35
Step-by-step explanation:
Solve each system.
y=6x + 6
2x -6y= -2
A girl has 11 coins in dimes and quarters. Their value is $1.55. How many quarters does she have?
8
3
5
Answer:
she has 3 quarters
Step-by-step explanation:
let's call the amount of dimes D
let's call the amount of quarters Q
you know that she has 11 coins in total,
so D + Q = 11.
you also know that each dime is worth 10 cents.
and each quarter is worth 25 cents.
so 10d + 25q = 155
this is a system of equations. solve by substitution:
d = 11 - q
10d + 25q = 155
10(11 - q) + 25q = 155
110 - 10q + 25q = 155
15q + 110 = 155
15q = 45
q = 45/15
q = 3
I REALLY NEED HELP :(
When the expression 102021 − 2021 is evaluated, the result is a very large number.
You probably do not have enough time to perform the calculation. So, in an
effort to save you some time and paper, instead of evaluating the expression
102021 − 2021, determine the sum of the digits in the difference.
Answer:
100,000
Step-by-step explanation:
7s + m + t = l
a = 3(s + 4)
4 = g(s – 7)
22 + 5s = g
r = q – 3s
pls asnser these thank you i will give brainliest to the first one to answer all of them. you have to make s the subject.
Answer:
s=I-t-m/7
s=a-12/3
s=g-22/5
s=r-q/-3
Two step equation with the solution of 5 ..
Answer:
2 times 7, 14-9
Step-by-step explanation:
2 times 7 = 14
14-9=5
Does this graph represent a proportional relationship?
Explain.
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?
answer: 21 students
15% = 0.15
0.15 x 140 = 21
SOLUTION: How much must you deposit into an account that pays 8.75% annual interest, compounded monthly, to have a balance of $1000 after one year?
Answer:
$917
Step-by-step explanation:
Let the money be $x
x×(1+(8.75%/12))^(12)=1000
x=916.5097877016
x=917(cor.to 3 sig.fig.)
Micah is 6 years younger than Raul.
Write an expression to show how to find Micah’s age when Raul is 14. Help plz
Answer:
14-6
Step-by-step explanation:
is -27 divided by (-3) positive or negative & how
Answer:
It is positive (9)
Step-by-step explanation:
Negative ÷ negative = positive
Negative ÷ positive = negative
positive ÷ positive = positive
positive ÷ negative = negative
Negative × negative = positive
negative × positive = negative
positive × positive = positive
Positive × negative = negative
If both symbols are the same, it is positive. If one is positive and one is negative (different symbols), it is negative.
The result is 9. Since both the divisor (-3) and the dividend (-27) are negative, the final result is positive.
When dividing -27 by -3, the result is positive. In this case, the negative signs cancel out each other, and two negatives make a positive.
To understand why, think of division as the process of finding out how many times one number (divisor) can fit into another number (dividend). In this case, we are trying to find out how many times -3 can fit into -27.
-27 ÷ (-3) = 9
Here's the step-by-step calculation: -3 times 9 equals -27, which matches the dividend. So, the result is 9.
Since both the divisor (-3) and the dividend (-27) are negative, the final result is positive.
In conclusion, -27 divided by -3 is positive 9.
To know more about divisor
https://brainly.com/question/552761
#SPJ2
t = (F^3 + G)a
Find a
and that is how you are supposed to do
Can you please help me answer this picture
We'll solve this equation:
5x + 17 = 4(3x - 1)First, let's apply the distributive property:
5x + 17 = 4(3x - 1)
5x + 17 = 12x - 4
Now, add 4 to both sides of the equation:
5x + 17 = 12x - 4
5x + 17 + 4 = 12x - 4 + 4
5x + 21 = 12x
Substract 5x from both sides:
5x + 21 = 12x
5x - 5x + 21 = 12x - 5x
21 = 12x - 5x
21 = 7x
Now, divide both sides by 7
21 ÷ 7 = 7x ÷ 7
3 = xTherefore, x = 3.
B. The equation has one solution.Answer:
Option B. One Solution
Step-by-step explanation:
5x+17= 4(3x-1)
5x+17 = 12x-4
17+4 = 12x-5x
21. = 7x
thus, x=3 (one solution)
Which of the following can be done by using conditional formatting?
Calculate quarterly sales.
Highlight all “no” responses.
Count the number of students in high school.
Calculate average scores on a math test.
Answer:
B
Step-by-step explanation:
Which of the following can be done by using conditional formatting?
Calculate quarterly sales.
Highlight all “no” responses.
Count the number of students in high school.
Calculate average scores on a math test.
Conditional formatting applies formatting to cells if specific conditions are met. For example, conditional formatting can be used to apply background color to “no” responses in a customer satisfaction survey. This will allow the business owner to quickly locate and read customer complaints and identify areas for improvement.
Conditional formatting involves applying cell formats to certain cells, if and only if they meet certain criteria.
Highlighting all "no" responses can be done using conditional formatting.
Options (a), (c) and (d) are all direct calculations that can be executed using Microsoft Excel functions and formulas such as:
SUM; to calculate quarterly sales (a)COUNT, to count number of students (c)AVERAGE, to calculate the average score (d)However, option (b) indicates that;
The cell is to be highlighted
And the condition for highlighting the cell is that:
The content of the cell is "no"
By comparing the above analysis to the meaning of conditional formatting, we can conclude that, conditional formatting can only be applies to option (b).
Read more about conditional formatting at:
https://brainly.com/question/22754240
help ASAP will mark brainliest
Answer:
1/2
if you are happy with my answer, please give brainliest :)
Step-by-step explanation:23+8+10+9=
50
23/50
About 1/2
Ryan drove 205 miles in 5 hours. If he drove at a constant rate, how far did he travel in one hour? On the double number line below, fill in the given values, then use multiplication or division to find the missing value.
I NEED THIS NOWWW PLS HELPPPP
Answer:
Right there
Step-by-step explanation:
You have the answer there the chart is done for you
Answer:
Step-by-step explanation:
So, to solve this, just look at the answers and write out how y would change as you added 1 to x, and the correct answer is whichever matches. The correct answer is D, but I'll edit with exact details so you can look into how to solve this problem when you're not in a hurry.
Two friends live 7 miles apart.One Saturday,the two friends set out on their bikes at 8am and started riding towards eachother one rides at 0.2miles per minute,And the other rides at 0.15 miles per minute,At what time will the two friends meet
Answer:
The two friends meet at [tex]8:20 \:\text {am}[/tex].
Step-by-step explanation:
Given: Two friends live [tex]7[/tex] miles apart. The two friends set out on their bikes at [tex]8[/tex] am and started riding towards each other one rides at [tex]0.2[/tex] miles per minute, and the other rides at [tex]0.15[/tex] miles per minute.
To find: The time when the two friends meet.
Solution:
Distance between two friends [tex]=7 \:\text{miles}[/tex]
Speed of one friend [tex]=0.2 \:\text{miles per minute}[/tex]
Speed of other friend [tex]=0.15 \:\text{miles per minute}[/tex]
Since, both are riding towards each other, the net speed will be [tex]0.2+0.15=0.35 \:\text {miles per minute}[/tex].
We know that, [tex]\text{time}=\frac{\text{Distance}}{\text{Speed}}[/tex]
So, time taken to cover [tex]7 \:\text{miles}=\frac{7}{0.35} =20 \:\text{minutes}[/tex]
Now, both the friends set out on their bikes at [tex]8[/tex] am and started riding towards each other. So, the two friends meet after [tex]20[/tex] minutes.
Hence, the two friends meet at [tex]8:20 \:\text {am}[/tex].
A recipe for sparkling water calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice how much sparkling water will you need to mix 9 quarts of grape juice
Answer: 18 quarts
Step-by-step explanation:
Quantity of sparkling water and gape juice are used in proportion in the recipe.
Let x= quantity of sparkling water when 9 quarts of grape juice is used.
Then,
[tex]\dfrac{x}{9}=\dfrac{1\dfrac12}{\dfrac34}\\\\\Rightarrow\ =\dfrac{x}{9}=\dfrac{\dfrac32}{\dfrac34}\\\\\Rightarrow\ \dfrac{x}{9}=\dfrac{4}{2}\\\\\Rightarrow\ x= 2\times9\\\\\Rightarrow\ x=18[/tex]
Hence, 18 quarts of sparkling water is required to mix with 9 quarts of grape juice.