If the original number can be written as ab, where a is the digits in the tens place and b is in the ones place, then it can be expanded as
10a + b
where a and b are chosen from {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. The sum of the digits is 9, so
a + b = 9
Reversing the digits gives the number ba, or
10b + a
which is larger than ab by 45, so
10b + a = (10a + b) + 45
-9a + 9b = 45
a - b = -5
Solve for a and b :
(a + b) + (a - b) = 9 + (-5)
2a = 4
a = 2
Then
a + b = 9
2 + b = 9
b = 7
So the original number if (C) 27.
If I have two points on a graph, let's say (4,5) and (8,10) what is the slope between the points?
Answer:
[tex]\displaystyle m=\frac{5}{4}[/tex]
Step-by-step explanation:
The slope between any two points is given by the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are our two points.
So, let’s let (4, 5) be (x₁, y₁) and let (8, 10) be (x₂, y₂). Substitute appropriately:
[tex]\displaystyle m=\frac{10-5}{8-4}[/tex]
Evaluate:
[tex]\displaystyle m=\frac{5}{4}[/tex]
Therefore, the slope between the two points is 5/4 or 1.25.
What can you hold in your right hand but not your left?
Answer:
Your left elbow/left hand
Step-by-step explanation:
Why do you think it is important to graph certain values?
Send help asap (´༎ຶོρ༎ຶོ`)
Graphs aren't mandatory, but they may help visual learners see why an equation works a certain way. Also, they are a visual tool to quickly find a solution to a problem. Furthermore, they help with presentations to quickly convey an idea to someone (who may not be well versed in mathematics).
For example, if you save $10 a week and already have $50 in a savings account, then the equation you graph is y = 10x+50. Here x is the number of weeks and y is the amount saved.
Now let's say you want to find out how many weeks it would take to have $90 total. You could use guess and check to get the answer. Or you could use algebra and the substitution property. The visual way would be to graph y = 10x+50 and y = 90 together to note how the two lines intersect at (4, 90) to indicate it will take x = 4 weeks to have y = 90 total.
Three restaurants sell turkey sandwiches in a small town: Delicious Deli, Garden Fresh, and Uptown Eatery.
Delicious Deli sells 5 turkey sandwiches for $20.00.
Garden Fresh sells 2 turkey sandwiches for $8.50.
Uptown Eatery sells 3 turkey sandwiches for $13.50.
The graph shows Delicious Deli’s turkey sandwich sales, where x represents the number of turkey sandwiches sold, and y represents the total cost.
Answer:
$4 per Turkey
Step-by-step explanation:
Look on the graph and follow every number to the cost:
2 Turkeys: $8
4 Turkeys: $16
5 Turkeys: $20
Notice how there is a Pattern:
8, 16, and 20 are all multiples of 4
4 x 2 = 8
4 x 4 = 16
4 x 5 = 20
So, the constant of proportionality for the coast per sandwich and Delicious Deli is $4
Question is: Andre solved an equation, but when he checked his answer he saw his solution was incorrect. He knows he made a mistake, but can’t find it. Where is andres mistake and what is the solution to the equation?
Answer:
-1=x He messed up on the third step.
Step-by-step explanation:
I worked out the equation and found that when he switched -6x over to -4 he did not change the symbol. So instead of 6+4 he did 4-6. I finished the equation and got -1
Which is the best approximation for the value of 1022
Answer:
We know that √100= 10, so √102 is approximately 10
Step-by-step explanation:
Hope that helped!
David and Jillian are playing a boardgame together Jillian wants to trade her wool cards for David ore cards the double number line shows that David will trade three ore cards to Jillian for six wool cards based on the ratio shown in the double number line how many wool does Jillian need to trade for ore cards?
Answer:
Step-by-step explanation:
Given that:
Jillian is willing to trade her wool cards for David ore cards
The double number line indicates that:
David will trade three ore cards to Jillian for six wool cards;
Based on the ratio, we have:
[tex]= \dfrac{6}{3}[/tex]
= 2
Thus, the number of wool Jillian would need to trade for 1 ore card will be
= 1 × 2
= 2
For 2 ore card
= 2 × 2
= 4
For 3 ore card
= 3 × 2
= 6
The number of wool Jillian would need to trade for 4 ore card will be
= 4 × 2
= 8
what is 8/5+ (-1/3)
Answer:
19/15
Step-by-step explanation:
Leila said that the ratio 2 to 5 may also be written as 2:5. What is another way of writing a ratio?
Answer:
3
Step-by-step explanation:
I have done the test bere
The ratio 2 to 5 can be written as 2 : 5 or 2/5 or 2/(2 + 5) = 2/7 and
5/(2 + 5) = 5/7.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
A ratio a : b can be written as a/b. It can also be written as a/(a + b) and
b/(a + b).
So, the ratio 2 to 5 can be written as 2 : 5 or 2/5 or 2/(2 + 5) = 2/7 and
5/(2 + 5) = 5/7.
learn more about proportion here :
https://brainly.com/question/7096655
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Write a different expression that has the same quotient as (−3)/8 and −(3/8) .
30 POINTS!!!!!!!!!!!!
Which graph represents the equation -5x+4y>-1?
======================================================
Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.
[tex]-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\[/tex]
This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
After a large storm, Pablo had 8 inches of water in his 30-foot by 40-foot
basement. His sump pump pumped out 200 cubic feet of water an hour.
Assuming no more water seeped into the basement, how long would it
take to pump all the water out of the basement? *
Step-by-step explanation:
After a large storm, Pablo had 8 inches of water in his 30-foot by 40-foot
basement. His sump pump pumped out 200 cubic feet of water an hour.
Assuming no more water seeped into the basement, how long would it
take to pump all the water out of the basement? *
O A. g(x) = 4x^2
O B. g(x)=2x^2
C. g(x)= 1/4^2
O D. g(x)= (1/4x)^2
Answer:
im pretty sure A. correct me if im wrong please
Step-by-step explanation:
mark spent 135$ on his comic book collection. he just sold it online for 310$. approximately what is the profit as a percent of his original cost?
A 56%
B 130%
C 44%
D 230%
Answer:
It would be B
Step-by-step explanation:
310-135=175
175/135
Write the equation y = 4x – 20 in Standard Form (AX + By = C) with integer coefficients
HELP ASAP PLEASE
=============================================
Work Shown:
y = 4x - 20
4x - 20 = y ...... swap both sides
4x = y + 20 ..... adding 20 to both sides
4x - y = 20 .... subtracting y from both sides
The equation is now in standard form (Ax+By = C) where,
A = 4B = -1C = 20Container A and Container B have leaks. Container A has 800 ml of water, and is leaking 6 mil per minute. Container B has 1,000 ml, and is leaking 10 mil per minute. Write and equation that would show how many minutes, m, it take for the two containers to have the same amount of water.
Answer:
50 minutes (I think)
Step-by-step explanation:
A= 800 - 6m
B = 1000 - 10m
800 - 6m = 1000 - 10m
4m = 200
50 = m
3) Manuel constructs a scale model of a building with a rectangular base.
Her model is 3 inches in length and 1 inch in width. The scale on the model
is 1 inch = 43 feet. What is the actual area, in square feet, of the base of
the building? (draw it out to help answer the question)
Answer:
14
Step-by-step explanation:
Answer:
B
Step-by-step explanationWhat are the coordinates of point Q?
Save and Exit
Next
Submit
and return
Answer:
4,2 1/2
Step-by-step explanation:
Q is located to theight of the x-axis, meaning the first number is a positive, and going up a little past 2 but not past 3. and in the middle so 2 1/2.
1 1/4 hours is = how many minutes
Answer: 75 minutes
Step-by-step explanation:
Answer:
75 minutes
Step-by-step explanation:
1 hour= 60 minutes
1/4 of an hour= 25 minutes
1 1/4= 75 minutes
Hope this helped!
The point slope form of a line with a slope of 2 through (1, 4) is y – 4 = 2(x – 1).
Group of answer choices
True
False
Answer:
TRUE
Step-by-step explanation:
y-4 = 2(x-1)
here, 4 is representing the y value and 1 is representing the x value.
And the slope is 2.
help ASAP part 3/9
math
Answer:
Step-by-step explanation:
12-3y<27
-3y<15
divide by negative 3. note: when you divide by a negative, the inequality sign flips
y>-5
The high temperature on Saturday was 15.5 degrees Fahrenheit. The temperature dropped 21.3 degrees by Sunday morning
Then it increased by 7.9 degrees by noon on Sunday. What was the temperature then?
Answer:
1.7 degrees fahrenheit
Step-by-step explanation:
What’s 0.2 repeating as a fraction?
Answer:
1/5
Step-by-step explanation:
Answer:
1/5 are you joking?
Step-by-step explanation:
A wire, 224 inches long, is cut into three pieces. The first is twice as long as the second.
The third is one-half as long as the second. How long is the second piece?
Answer:
64in
Step-by-step explanation:
first =2* second
second=2*third since the third is half of second
first =2*2*third=4*third
now lets put them all together
first+second+third=224
4*third+2*third+third=224
7*third=224 so the third part is 32
but we need the second piece
2*32=64
What is the equation of the function shown in the graph provided?
f(x)=?
Answer:
f(x)=3x
Step-by-step explanation:
What ratio will have a trail with 7:2
Answer:
7/2
Step-by-step explanation:
Please help me this is my last question
Answer:
12 blocks away from each
Step-by-step explanation:
Answer:
10 blocks
Step-by-step explanation:
6^2 + 8^2 = 100
[tex]\sqrt{100}[/tex] is 10
What is the slope of a line PERPENDICULAR to y = -x + 2.5
Answer:
M = -1
Step-by-step explanation:
A telescope is on sale for $126. This represents a 30% discount. What was the original price of the telescope?
Answer:
163.80 hope this helped
Step-by-step explanation:
convert 7yd 2ft = ____ft
Answer:
23 feet
Step-by-step explanation:
1 yard = 3 feet, so 7 yards is 21 feet, plus 2 is 23 feet.
