Dennis needs to fix a leaky roof on his house but does not own a ladder. He thinks that a 25-foot ladder will be
long enough to reach the roof, but he needs to be sure before he spends the money to buy one. He chooses a
point P on the ground where he can visually align the roof of his car with the edge of the house roof. Help Dennis
determine if a 25-foot ladder will be long enough for him to safely reach his roof.
Answer: 15 ft 9 in
Step-by-step explanation:
The division of fraction 9/14 by 15/2 in simplest form is 3/70 by dividing both the numerator and the denominator by the GCD
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, the reciprocal of 15/2 is 2/15. Therefore, we can rewrite the division as multiplication:
(9/14) * (2/15)
Next, we can multiply the numerators together and the denominators together:
(9 * 2) / (14 * 15)
Simplifying further, we get:
18 / 210
To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and the denominator, which is 6 in this case. Dividing both the numerator and the denominator by the GCD, we get:
18 ÷ 6 / 210 ÷ 6
This simplifies to:
3 / 35
Therefore, the division of 9/14 by 15/2 in simplest form is 3/70.
In summary, to divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Then, we simplify the resulting fraction by finding the GCD of the numerator and the denominator and dividing both by the GCD. Applying these steps to the given fractions, we obtain the simplified form of 3/70.
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Find 27.1% of 208. Round to the nearest tenth.
Answer:
56.4 is your answer
Correct me if I'm wrong.
Answer:
56.368
Step-by-step explanation:
For Problem 10, simplify the expressions using properties of operations. 10. (t - 1) – (-7t+2)
Answer:
8t-3
Step-by-step explanation:
(t-1)-(-7t+2)
t-1+7t-2
t+7t-1-2
8t-1-2
8t-3
what is 115.7 rouned the ones place
Answer:
brainliest please
Step-by-step explanation:
116
What is the slope-intercept form of the equation of a line with a slope of 2 and a y-intercept of -7?
a. y = 2x - 7
b. 7x - y = -2
c. y = -2x + 7
d. y = -7x + 2
=====================================================
We're given:-
[tex]\bigstar{\boxed{\pmb{Slope:-~2;~y-intercept:-~-7}}[/tex]
To find:-
[tex]\bigstar{\boxed{\pmb{equation~of~the~line}}[/tex]
Solution:-
Notice that we're asked to write the line's equation in slope-intercept form.
Slope-intercept looks like so:
[tex]\bigstar{\boxed{y=mx+b}[/tex]
where m -> slope & b -> y-intercept
Oh wow, it's really easy now, because we should just plug in the values:-
[tex]\bigstar{\boxed{\pmb{\maltese{y=2x-7}}}}[/tex]
=================================================
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
What is the difference of the polynomials?
(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)
–6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5
–6x4y – 2x3y2 – x2y3 – 3xy4 – y5
–6x4y + 3x3y2 + 4x2y3 – 3xy4 + y5
–6x4y – 7x3y2 + 4x2y3 – 3xy4 – y5
Answer:
The first
Step-by-step explanation:
The difference of the given polynomials is - 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵.
The given polynomials
(-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)
The difference in the given polynomialsThe difference in the given polynomials is calculated as follows;
(-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)
open the brackets;
-2x³y² + 4x²y³ - 3xy⁴ - 6x⁴y + 5x²y³ + y⁵
add similar terms together;
- 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵
Thus, the difference of the given polynomials is - 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵.
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-29=9-6k-2k - 1please do the work, i’ll mark as brainliest
Answer:
k = 37/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-29 = 9 - 6k - 2k - 1
Step 2: Solve for k
Combine like terms: -29 = 8 - 8k[Subtraction Property of Equality] Subtract 8 on both sides: -37 = -8k[Division Property of Equality] Divide -8 on both sides: 37/8 = kRewrite/Rearrange: k = 37/8Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: -29 = 9 - 6(37/8) - 2(37/8) - 1Multiply: -29 = 9 - 111/4 - 37/4 - 1Subtract: -29 = -75/4 - 37/4 - 1Subtract: -29 = -28 - 1Subtract: -29 = -29Here we see that -29 does indeed equal -29.
∴ k = 37/8 is the solution to the equation.
John delivers newspapers every morning in his neighborhood. He gets paid based on the number of hours x, that he works. This table reflects John's pay scale.
Answer:
w = 2 + 8x
Step-by-step explanation:
this is the only equation where, after plugging in hours and wages, the values are correct
The equation where, after plugging in hours and wages, the values are correct would be; w = 2 + 8x
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given that John delivers newspapers every morning in his neighborhood.
John gets paid based on the number of hours x, that he works.
Thus the only equation where, after plugging in hours and wages, the values are correct would be;
w = 2 + 8x
Substituting x = 1
w = 2 + 8(1)
w = 10
Hence, this equation is correct.
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I need some help on this question! I will mark you if you answer.
Answer:
definitely 145
Step-by-step explanation:
It is 145 degrees I hope this helps :)
What is the solution of the system? Use elimination.
5x-6y=-32
3x+6y=48
Answer:
x=2 y=7
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
I need number 7!plz help
Answer:
x-4,y-3
Step-by-step explanation:
left = negative , down = negative
Ali receives a 4% commission for all his sales. His sales for January were $15,000. What was the commission amount he earned for the month of January?
Answer:
$600
Step-by-step explanation:
Convert the 4% commission into a decimal, which is 0.04.Multiply the sales ($15,000) by the commission as a decimal (0.04). This is $600, which is the answer.
HELPPPP PLS IM BEING TIMED!! 10 POINTS
consider the pairs of ratios given in the first column and determine whether or not the ratios form a proportion
Ratios
Yes, they are
proportional
No, they are not
proportional
8 old rings for every 1 new ring 16 old rings for every 2
new rings
o
$9:4 visitors - $18:8 visitors
16 e mails to 6 text messages - 10 e-mails to 4 text
messages
SHOW HINT
Answer:
1) Proportinal
2)Non Proportinal
3)Proportinal
Step-by-step explanation:
Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation:
Find the value of X.
Answer:
its 70
Step-by-step explanation:
he angle subtended by an arc at the centre of a circle is twice the angle subtended by the same arc at any other point on the remaining part of the circle.
2∠ACB=∠AOB
∠AOB=2×35=70°
Mr. Lee mailed 3 packages. The greatest amount he paid to mail one of these packages was $3.60. The least amount he paid to mail one of these packages was $1.70. What could be the total amount Mr. Lee paid to mail the packages?
Answer:
8.30
Step-by-step explanation:
Lee mailed 3 packages
If he paid 1.70 for 1 package and 3.60 for 2 package
= 3.60×2 + 1.70
= 7.2+1.70
= 8.9
If Lee paid 3.60 for 1 package and 1.70 for 2 packages
= 3.60 + 1.70(2)
= 3.60 + 3.4
= 7
Hence the price paid to mail the thee packages is 8.30 because it falls in between 7 and 8.9
Answer: a. $8.30
Step-by-step explanation:
Highest paid was $3.60 and lowest paid was $1.70. There is a middle package that cost less than $3.60 and more than $1.70.
= 3.6 + 1.7
= $5.30
This rules out option c because we have not added the price of the third package and it is already higher than option c.
Add the maximum twice:
= 3.6 + 3.6 + 1.7
= $8.90
If the second package was assumed to have the same cost as the highest paid, the total would still be less than options b and d which makes them both wrong.
Option a is the most feasible answer.
Sarah has 30 oranges an 48 plums . What is the ratio of oranges to plums
Answer:
30:48
Step-by-step explanation:
because there are 30 oranges and 48 plums. I got this by putting oranges in front of plums to get the ratio of 30:48
can someone please help its due soon.ill give brainliest!
Step-by-step explanation:
LINE K is linear equation
y = mx + b
m = delta y/ delta x
= 6/3
= 2
b = y-intercept (at x = 0, y = 0)
y = 2x
What is the value of x?
answer: 12
Step-by-step explanation:
so..my teacher NEEDS work from us so please don't put a random answer i need the work for that. thanks
Answer:
Original Equation: s + 3 1/2 = 8 1/2
Subtract 3/12 from both sides: s + 3 1/2 - 3 1/2 = 8 1/2 - 3 1/2
Simplify: s = 5
So, A is the correct answer.
Let me know if this helps!
A bicycle has a listed price of $682.99 before tax. If the sales tax rate is 8.25%, find the total cost of the bicycle with sales tax
included.
Round your answer to the nearest cent, as necessary.
Answer:
739.34
Step-by-step explanation:
When salt and water are combined, they form a salt or saline solution. How much ml of water must be added to 150 mL of an 80% saline solution to produce a 30% saline solution?
Answer:
We must add 400 ml of water.
Step-by-step explanation:
We can use the following equation:
[tex]C_{i}V_{i}=C_{f}V_{f}[/tex]
Where:
C(i) is the initial concentration of the solution (80%)C(f) is the final concentration of the solution (30%)V(i) is the initial volume (150 ml)V(f) is the final volumeNow, we just need to solve the equation for V(f).
[tex]V_{f}=\frac{C_{i}V_{i}}{C_{f}}[/tex]
[tex]V_{f}=\frac{80*150}{30}[/tex]
[tex]V_{f}=400\: ml[/tex]
Therefore, we must add 400 ml of water.
I hope it helps you!
Can someone plzzz help ASAP
Answer:
x = 7 √3 km
Step-by-step explanation:
Here, we want to get the value of x
As we can see, we have a right angled triangle with hypotenuse 14 km
we can use the Pythagoras’ theorem to get the value of x
Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
14^2 = x^2 + 7^2
x^2 = 196-49
x^2 = 147
x = 7 √3 km
What is the slope of (-1,-2) and (5,-3)
Answer:
M = -1/6
Step-by-step explanation:
HELP ASAP IM IN A LIVE LESSON
Answer: 70 Degrees
Step-by-step explanation:
65+45=110
180-110=70 degrees
1. 6x - 29 = 115
2. 3y - 1 = 29
3. 4z - 32 = 36
find x, y, and z
Answer:
x = 24 , y = 10, z = 17
Step-by-step explanation:
Given
6x - 29 = 115
6x = 115 + 29
6x = 144
x = 144 / 6
x = 24
3y - 1 = 29
3y = 29 + 1
3y = 30
y = 30 / 3
y = 10
4z - 32 = 36
4z = 36 + 32
4z = 68
z = 68 / 4
z = 17
Hope it will help :)
Graph the system of equations on the grid below and then mark ther point of intersex (Point C)
Y=3x+3
Y=x+5
Answer:
Step-by-step explanation:
do your best job
Point of intersection of equations is (1 , 6)
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
Given equations
y = 3x + 3 ---------(1)
y = x + 5 ---------(2)
Subtracting equation 2 from equation 1.
y - y = 3x + 3 - (x + 5)
0 = 3x + 3 - x - 5
0 = 2x - 2
x = 1
Putting value of x in equation 2
y = 1 + 5
y = 6
Intersection point,
(x , y) = (1 , 6)
Hence, (1 , 6) is the point of intersection of given equations.
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-2(-5x - 10) + 30 = -110
Answer:
your answer will be x=−16
Step-by-step explanation:
Simplify −2(−5x−10)+30
10x+50=−110
10x=−160
Divide each term by 10
and simplify.
x=−16
I hope this helps ^_^
Marcos debe pintar 5/9 de la cubierta de un velero. Al acabar el día ha pintado 21/36 . ¿Ha conseguido cumplir su objetivo? ¿Ha pintado más? ¿Ha pintado menos?
Answer:
a) Have you managed to meet your goal?
Yes
b) Have you painted more? Have you painted less?
You have painted more.
Step-by-step explanation:
Marcos should paint 5/9 of the deck of a sailboat.
At the end of the day he painted 21/36.
Reducing this to the simplest form = 21/36
Dividing Numerator and Denominator by 3
= 7/12
Finding the difference between both fractions
= 7/12 - 5/9
The Lowest Common Denominator = 36
= 21 - 20/36
= 1/36
Therefore:
a) Have you managed to meet your goal?
Yes
b) Have you painted more? Have you painted less?
You have painted more.
What does it mean to be proportional?
In other words what is the meaning of proportional?
SOLVE FOR POSSIBLE BRAINLIEST
Answer:
in my words proportional means having equal portions lets say you cut a pizza into 4 separate pieces if you had 1 piece that was half and three pieces random that is not proportional but if you have 4 quarters that is proportional
Step-by-step explanation:
In a circle if radius 12 feet is a central angle that intercepts an arc of length 6 yards . Find the radian measure of the central angle.
Answer:
Find the Central Angle from the Arc Length and Radius
You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.
Step-by-step explanation: