There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
idk how to do math
that's why we have the beautiful internet
I give Brainliest!!!
Part 1: Given triangle ABC and AC = BC, find a and the side lengths of the triangle.
a=
Side BC=
Side AC=
Part 2: Based off your knowledge of side lengths and triangles, what can you for sure classify the above triangle as
Triangle ABC:
Answer:
Part 1)
a=3; BC=10; AC=10
Part 2)
Isosceles Triangle
Step-by-step explanation:
Part 1)
We know that AC=BC.
Therefore, their lengths are equivalent.
So, we can write the following equation:
[tex]6a-8=4a-2[/tex]
Let’s solve for a. Subtract 4a from both sides:
[tex]2a-8=-2[/tex]
Add 8 to both sides:
[tex]2a=6[/tex]
Divide both sides by 2. Therefore, the value of a is:
[tex]a=3[/tex]
Now, we can substitute the value back to find AC and BC.
For AC, we have:
[tex]AC=6a-8\\[/tex]
Substitute 3 for a:
[tex]AC=6(3)-8=18-8=10[/tex]
So, the value of AC is 10.
For BC, we have:
[tex]BC=4a-2[/tex]
Substitute 3 for a:
[tex]BC=4(3)-2=12-2=10[/tex]
Therefore, both AC and BC measure 10 units, which was expected.
Part 2)
Remember that:
A triangle is scalene if all three of its sides are different. A triangle is isosceles if two of its sides are equal. And a triangle is equilateral when all of its sides are equal.We know that AC is equal to BC. So, two sides are equal.
We don’t know anything about AB. AB could or could not be equal.
Therefore, the best answer is that Triangle ABC is an isosceles triangle.
Explain how to find the distance between two integers using the difference
Answer:
When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them. For example -3 and -1. But distance can not be negative.
Step-by-step explanation:
edge 2021
Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.
Answer:
Step-by-step explanation:
Given
Volume of cylinder =36π
Radius of cylinder=3cm
Volume of cylinder=πr^2h
πr^2h=36π
r^2h=36. ( π cancel from both side)
3×3×h=36
h=36/9
h=4cm
Answer:
h=4cm
Step-by-step explanation:
Parallelogram JKLM is half as wide as it is long. If side Which statements are true? Select all that apply.
JK is 2 inches long, find the length of the remaining sides. O Parallelograms have opposite sides that are
2 in.
congruent.
K
If side JK is 2 inches long, then side ML must also
be 2 inches long.
If side JK is 2 inches long, then side KL must also
be 2 inches long.
Side JK is half as long as side KL.
O Side JK is twice as long as side KL.
M
Sides KL and JM are both 4 inches long.
Sides KL and JM are both 1 inch long.
Answer:1,2,4,6
Step-by-step explanation:
I just finished this assignment!!! Good luck and God bless.
slope = -2. y-intercept: (0, 0)
in slope intercept form
pls help i need it to be 2-3 sentences help pls ill give u brainliest
Answer:
If I went to a religious service I would probably wear a dress and something nice you know since I would be going to church.
If I went to school during the colonial America then for me as a girl they didn't wear pants to much but I wouldn't mind. So I would probably be wearing a dress too.
If I were a boy I'd just wear pants.
Step-by-step explanation:
Hope this helps!
Put them in order from least to greatest -1,-3,4,0,0.5,-1.5,2,-0.5,1,2
Answer:
-4,-3, -1,-1.5,-0.5, 0, 0.5,1,2,2,4
Good Luck!!!
7(3x+-9) what is the answer
Answer: 21x - 63
explanation:
Answer:
21x-63
Step-by-step explanation:
Translate each inequality. Do not solve.
"Seven more than three-fourths of a number is 31
Please help:(
A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost
Answer:
$49.12
Step-by-step explanation:
217 is what percent of 775
Answer:
28 percent
Step-by-step explanation:
you divide 217 by 775 and you get 0.28
Answer:
The answer is 28%
Step-by-step explanation:
217:775*100 =
(217*100):775 =
21700:775 = 28
217 percentage of 775 = 28.
Yw Have A Wonderful Day !! :)
PLEASE HELP ME ASAP THIS A MODULE TEST PLS PLS PLS
Bianca has a part-time job mowing lawns for her neighbors. The table below shows the amount of money Bianca earned for different numbers of hours of work:
Number of Hours Worked ║Money Earned (dollars)
Bianca's Earnings from Lawn Mowing
4 60
6 90
8 __
105
Part A: What are the missing numbers in the table? Show your work. (4 points)
Part B: Bianca also walks her neighbors' dogs from time to time. The ratio of the number of hours Bianca walks dogs to the money she earns in dollars is 1:8. How much money will Bianca earn by walking dogs for 4 hours, 6 hours, and 8 hours? (3 points)
Part C: How many more dollars does Bianca earn mowing lawns for 5 hours than walking dogs for 5 hours? Show your work. (3 points)
Answer:1:20, common sense would say 4 to 60, 8 to 90 so we can tell we are adding by 30s therefore number one is 20. 2: 32 for 4 hours, 48 for 6 hours, 64 for 8 hours, so if she works 5 hours mowing lawns she gets 75, and walking dogs for 5 hours would give her 40 so 75-40= 35, Here are all the answers, 1=20. 2=32,48,64. 3=35
Step-by-step explanation:look up
Which is the sum of -4 and its additive inverse?
Answer:
-4 +4 =0
Step-by-step explanation:
The sum of a number and its' additive inverse is 0
The additive inverse of -4 is 4
-4 +4 =0
The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 5 cups of strawberries per 14cup of sugar.
Answer: 0.357
Step-by-step explanation:
Here is the remainder of the question:
What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar?
We are going to solve this by using direct proportion,
y = kx
where,
x = number of cups of sugar = 14
y = number of cups of strawberries = 5
k = constant of proportionality
We slot the values into y = kx
y = kx
5 = 14k
k = 5/14
k = 0.357
The constant of proportionality is 0.357
Find the value of W please help due tomorrow
Answer:
59 degrees
Step-by-step explanation:
All the angles of a triangle (when combined) result in 180 degrees. This means that:
Angle 1 + angle 2 + angle 3 = 180 degrees.
We can see here that the shape here is a right triangle (noted by the square in the corner). This means that the angle set with the square is equal to 90. With this, we already have two of our angles! All we need is to set the equation using w, the angle you'll want to find:
31 + 90 + w = 180
w = 59
And there you are! Make sure to practice a few more problems like these to really get the hang of it. Good luck!
Kim sold a house for $230,000 and made a 3% commission. How much money did Kim make in commission for selling the house?
Answer: kim made $6,900 in commission for selling the house
Step-by-step explanation:i took the test
Please help me to figure this picture out, what is this mean
Answer:
Wallows is an American alternative rock band based in Los Angeles composed of Dylan Minnette, Braeden Lemasters, and Cole Preston. The band began releasing songs independently in April 2017 starting with "Pleaser", which reached number two on the Spotify Global Viral 50 chart.
I NEED HELP IMMEDIATELY. MY ASSIGNMENT IS DUE IN AN HOUR
Answer: the first one would be 31.65
Step-by-step explanation:
First you have to do the a2+b2 thing to get the adjacent number then you do cos^-1(6.98/8.2) and you’ll get 31.655
For the third one x will equal 44.41
8
Juan deposited $450 in an account that earned 7.5% simple interest.
- He did not make additional deposits and he didn't withdraw any money from the
account.
What was the balance in Juan's investment account after 3 years?
F $101.25
G $559.03
H $109.03
J $551.25
Answer:
J $551.25Step-by-step explanation:
Step one:
given data
principal= $450
rate= 7.5%= 0.075
time = 3 years.
Step two:
the simple interest formula is
A=P(1+rt)
Substituting we have
A=450(1+0.075*3)
A=450(1+0.225)
A=450(1.225)
A=551.25
The answer is $551.25
A 2-month membership to the gym costs $125. Jim would like to be a member for 8
months. What is the total amount he will pay for 8
months?
Answer:teps:
125 divided by 2 (to find the cost for one month) ans: $62.50
Then you multiply $62.50 times 8 to find the total cost for 8 months ans: $500.00
I hope this helpe
Step-by-step explanation:
Answer:
500 dollars for eight months
Mr. Gonzalez joined a gym that had an initial membership fee of $199 and a monthly cost of $35. How
many months would he have been a member if he paid a total of $829?
Answer:
sorry
Step-by-step explanation:
Philip’s meal costs $12.82 at a local restaurant. The server did their job very well and Philip would like to leave a 20% tip. What amount of money should he leave as a tip?
Answer:
$2.56
Step-by-step explanation:
If you multiply 12.82 by .20, you would get 2.564. Then you just round it up and the answer you get is $2.56. Hope this helps!
What are the like terms you must combine first? 4(x + 3) – 2x + 8 = 28
Answer:
the answer is x = 4
Step-by-step explanation:
first you wanna subtract 8 from both sides
then it should look like this... [tex]4\left(x+3\right)-2x=20[/tex]
then this... 2x+12=20
next you need to subtract 12 from both sides
then it'll look like this 2x=8
then this... [tex]\frac{2x}{2}=\frac{8}{2}[/tex]
lastly your gonna simplify it and and your answer will be...
x = 4
hope this helps :)
Write the slope intercept form of the equation of each line given the slope and y-intercept. Slope = 0, y-intercept = 5
Answer:
0+5=5
Step-by-step explanation: If u add nothing then it stays like that
Answer:
5
Explanation:
I'm a goat so I know everything
POSSIBLE POINTS: 28.57
The flight path of a volleyball is modeled by the equation h (x) = -0.034x2 + 1.3z +5.5, where h(x) is the height of the volleyball and x is the
horizontal distance measured in feet from where the ball was hit. Determine the maximum height of the volleyball
O 19.118 feet
O 18.344 feet
O 17 926 feet
O 16.982 feet
O 15.004 feet
O 14.621 feet
O 13.955 feet
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ET Review
Can please someone help with this im have troubles to solve this
Answer:
f(4)=3(4)+2
=12+2
=14
f(-2)=3(-2)+2
=-6+2
= -4
The graph of y = f(x) is shown below. Find all values of x where f(x) = -5.
Picture of graph is there
40 points casue I need this answer
Find the slope of the line that contains (−9, 1) and (3, 6).
Answer:
5/12
Step-by-step explanation:
slope is [tex]\frac{1y-2y}{1x-2x}[/tex]
so [tex]\frac{6 - 1}{3 - (-9)}[/tex] and that is 5/12
Please mark brainliest!!! Thanks.