The equation represents the distributive property, a fundamental concept in algebra where a number is distributed across an addition inside a parenthesis, and then the individual products are summed.
Explanation:The equation 17⋅44+17⋅56=17⋅100 showcases the distributive property of multiplication over addition. The distributive property allows one to multiply a number by a group of numbers added together by doing each multiplication separately and then adding the results. This property is very useful in algebra and simplifying mathematical expressions. In this case, 17 is multiplied by 44 and 56 individually, and then the products are added to get the same result as multiplying 17 by the sum of 44 and 56, which is 100.
What number is a common denominator for 3/8and1/3
Simplify a - {b - [c- (d - e) - f] - g]
Answer is a - b + c - d + e - f + g
Answer:
After Simplifying we get a - b + c - d + e - f + g
Step-by-step explanation:
We are given : a - { b - [ c - ( d - e ) - f ] - g }
We have to simplify it.
Step 1: First open the parenthesis mean ( ) brackets
we get , a - { b - [ c - d + e - f ] - g }
Step 2: Now we open Square brackets .i.e., [ ]
we get, a - { b - c + d - e + f - g }
Step 3: In last we open curly brackets .i.e, { }
we get, a - b + c - d + e - f + g
Therefore, After Simplifying we get a - b + c - d + e - f + g
One positive number is 5 times another number . The difference between the two numbers is 80, Find the numbers.
The two numbers in increasing order are ________ and ______
Find the unknown length x in each right triangle ,to the nearest tenth.please help
The following are the value of the unknown length x to the nearest tenth;
9. x = 9.0
10. x = 16.3
11. x = 54.1
12. x = 46.7
What is the value of the unknown length?
9.
cos θ = Adjacent / Hypotenuse
cos θ = 90° - 37° = 53°
cos 53° = x/15
cross product
15 × cos 53° = x
15 × 0.601815023152048 = x
x = 9.0272
Approximately, 9.0
10.
cos θ = Adjacent / Hypotenuse
cos 53° = x/27
cross product
27 × cos 53° = x
27 × 0.601815023152048 = x
x = 16.25
Approximately, 16.3
11.
cos θ = Adjacent / Hypotenuse
cos 75° = 14/x
cross product
x × cos 75° = 14
x = 14/cos 75°
x = 14/0.258819045102520
x = 54.1
12.
cos θ = Adjacent / Hypotenuse
cos θ = 90° - 24° = 66°
cos 66° = 19/x
cross product
x × cos 66° = 19
x = 19/cos 66°
x = 19/0.406736643075800
x = 46.7132
Approximately,
x = 46.7
Riley road his bike for 360 minuets. If he traveled 2 miles per hour. How many miles did he travel
7.8 + n = 38.2 plez i need help
Miss Penny inherits $720.
She decides to save some of the money and spend the rest.
The ratio of savings to spending money is 5:4
How much does she save and how much does she spend?
Savings :
Spending Money :
^^ answer ASAP!!
Answer this correct plz
ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ? Enter your answer in the box. EF = in.
Can u solve for me because this is confusing and I don’t get the e
What is the median of 8,42,13,7,50,91
Please help. +10 Cant figure this one out.
The point (a, b) lies on the line with the equation 3x + 2y = 12. When a = 4, what is the value of b?
What is the range of the graph? Please help me and thank you!
Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Denver was $300. Now the cost is $375. What is the percent increase?
4. At a baseball game, the ratio of Barons fans to Blue Sox fans is 8 : 3. If you know that at least 22,000 people are attending the game, at least how many Blue Sox fans are there?
Answer:
Step-by-step explanation:
2*37=6000
Pedro scored 17 out of 20 on a quiz. What was his score as a percent?
Answer:
he's right tried to answer first
Step-by-step explanation:ut 85%
Rewrite the following equation in slope-intercept form. 5x − 14y = 16 Write your answer using integers, proper fractions, and improper fractions in simplest form.
The equation 5x − 14y = 16, when rewritten in slope-intercept form, is[tex]y = (5/14)x - 8/7.[/tex]
Explanation:To rewrite the given equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we'll isolate y. Starting with the equation 5x − 14y = 16:
1. Subtract 5x from both sides to move the x term to the other side:
-14y = -5x + 16
2. Divide every term by -14 to solve for y:
y = (5/14)x - 8/7
In this form, the coefficient of x represents the slope (m), which is 5/14, and the constant term is the y-intercept (b), which is -8/7. The slope indicates the rate of change of y concerning x, and the y-intercept represents the point where the line intersects the y-axis.
By following these steps, we've successfully transformed the given equation into slope-intercept form, making it easier to interpret and work within the context of linear relationships.
To convert the equation 5x - 14y = 16 to slope-intercept form, solve for y to yield y = (5/14)x - 8/7, where the slope is 5/14 and the y-intercept is -8/7.
Explanation:To rewrite the equation 5x − 14y = 16 in slope-intercept form, we need to solve for y to get the equation in the form of y = mx + b, where m is the slope and b is the y-intercept.
First, we subtract 5x from both sides of the equation:5x − 14y − 5x = 16 − 5xThis simplifies to −14y = −5x + 16.Next, we divide each term by −14 to solve for y:y = (−5x + 16) / −14Finally, we simplify the equation:y = (5/14)x − 16/14In simplified form, the slope-intercept form of the equation is y = (5/14)x − 8/7. Here, the slope (m) is 5/14 and the y-intercept (b) is −8/7.
what values of a, b, c would you use in the quadratic formula for the following equation? 5x^2+9x=0
the expressions are too hard to do so pls tell me the answer
line XY is perpendicular to line CD at D. Which conclusion can be drawn?
What is the surface area of the cube
64mm
192mm
384mm
512mm
A dot ran from -34 to -66. What distance did it cover? If this run took the dot 5 minutes, what was the average speed?
The dot's average speed was 384 units per hour
To find the distance the dot covered, we can subtract the initial position from the final position:
Distance = Final position - Initial position
[tex]\[ \text{Distance} = (-66) - (-34) \]\[ \text{Distance} = -66 + 34 \]\[ \text{Distance} = -32 \][/tex]
However, distance is a scalar quantity, so the negative sign indicates the direction. To find the magnitude of the distance, we take the absolute value:
[tex]\[ |\text{Distance}| = |-32| \][/tex]
[tex]\[ |\text{Distance}| = 32 \text{ units} \][/tex]
So, the dot covered a distance of 32 units.
To find the average speed, we use the formula:
[tex]\[ \text{Average speed} = \frac{\text{Distance}}{\text{Time}} \][/tex]
Given that the run took the dot 5 minutes, we need to convert the time to hours for the speed to be in units of distance per hour:
[tex]\[ \text{Time} = 5 \text{ minutes} = \frac{5}{60} \text{ hours} = \frac{1}{12} \text{ hours} \][/tex]
Now, plug the distance and time into the formula:
[tex]\[ \text{Average speed} = \frac{32 \text{ units}}{\frac{1}{12} \text{ hours}} \]\[ \text{Average speed} = 32 \times 12 \]\[ \text{Average speed} = 384 \text{ units/hour} \][/tex]
So, the dot's average speed was 384 units per hour.
How do u solve b+2.25=1
what is the volume of a shpere when the diameter is 6cm?
Final answer:
To find the volume of a sphere with a diameter of 6 cm, first determine the radius, which is 3 cm, and then use the formula V = (4/3)πr³ to calculate the volume, resulting in approximately 113.097 cm³.
Explanation:
The volume of a sphere is calculated using the formula V = (4/3)πr³, where V represents the volume and r is the radius of the sphere. When the diameter of the sphere is given as 6 cm, the radius is half of that, which is 3 cm. Therefore, substituting the radius into the formula yields:
V = (4/3)π(3 cm)³ = (4/3)π(27 cm³) = 36π cm³
This results in a volume of approximately 113.097 cm³ (since π is approximately 3.14159).
Find the area of the following circle. ( = 3.14; round answer to the nearest whole number). Circumference = 120 cm. (Hint: Find r from C = 2r (round r to tenths); then find area). Area = cm2
Answer:
Area of circle is 1145.50 cm²
Step-by-step explanation:
Given : Circumference of circle = 120 cm
We have to find the area of the given circle.
Consider the given circle
We know circumference of circle = [tex]2\pi r[/tex]
Thus, [tex]120=2\pi r[/tex]
Put π = 3.14
We have,
[tex]120 =2\times 3.14\times r[/tex]
Divide both sides by 6.28, we have,
r = 19.1 cm
Now, area of circle = [tex]\pi r^2[/tex]
Put r = 19.1
We have
Area of circle = 1145.50 cm²
Thus, Area of circle is 1145.50 cm²
There can be at most 125 customers in a certain resturant. Write an inequality that represents the number of customers in the resturant.
Answer:
125 ≤ c
Step-by-step explanation:
What is the area of this parallelogram?
28 m²
56 m²
84 m²
120 m²
PLEASE HELP I AM FAILING AND I NEED AYUDA ASAP
PLEASE HELPP
What is the solution of the system of equations?
{13x−6y=23x−4y=−10
Enter your answer in the boxes..
Answer:
the solution is the point [tex](2,4)[/tex]
Step-by-step explanation:
we have
[tex]13x-6y=2[/tex] ------> equation A
[tex]3x-4y=-10[/tex] ------> equation B
we know that
The solution of the system of equations is the intersection point both graphs
Using a graphing tool
The intersection point is the point [tex](2,4)[/tex]
see the attached figure
therefore
the solution is the point [tex](2,4)[/tex]
the answer is (2,4) the expert is right i put it and got it right
Jennifer is planning a holiday. The hotel costs $60 per night and her flights cost $150. She has a budget of £500 for hotel and flights. Up to how many nights can she afford in the hotel?
Answer:
5 nights
Step-by-step explanation:
Let x represent the number of nights. She can spend up to and including 500; this gives us the inequality
60x+150 ≤ 500
Subtract 150 from each side:
60x+150-150 ≤ 500-150
60x ≤ 350
Divide both sides by 60:
60x/60 ≤ 350/60
x ≤ 5.83
Since she cannot stay just a portion of a night, she can stay up to 5 nights.
Jennifer can afford to stay in the hotel for up to 10 nights.
Explanation:To determine the number of nights Jennifer can afford in the hotel, we need to subtract the cost of the flights from her budget and divide the remaining amount by the cost per night.
First, convert Jennifer's budget from pounds to dollars. Assuming an exchange rate of 1 pound = 1.5 dollars, £500 is equal to $750.
Next, subtract the cost of the flights from Jennifer's budget to find her remaining budget for the hotel. $750 - $150 = $600
Finally, divide the remaining budget by the cost per night to find the number of nights she can afford. $600 / $60 = 10 nights.
Therefore, Jennifer can afford to stay in the hotel for up to 10 nights.