the difference of two numbers is 8. their sum is 17. find the two numbers?
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Answer:
4.512.5Step-by-step explanation:
Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...
s + (s+8) = 17
2s = 17 -8 = 9
s = 9/2 = 4.5
s+8 = 4.5 +8 = 12.5
The two numbers are 4.5 and 12.5.
_____
Comment on problems of this type
A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...
two numbers = (sum ± difference)/2
Here, that is ...
two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)
a glass jar has 64 chocolate. mark, dave and ralph will share the chocolate in the ratio of 1:1:2, how many chocolates will each one of them get?
Step-by-step explanation:
64/(1+1+2)
= 64/4
= 16
1 : 1 : 2
mark = 1×16 = 16
dave = 1×16 = 16
ralph = 2×16 = 32
Step-by-step explanation:
hope it helps
please rate
DONT DO PART C you do not need to do that one i only need help on A and B please.
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x - y = 5 → (1)
4x + y = - 10 → (2)
Rearrange (1) expressing y in terms of x
(a)
y = x - 5 → (3)
Substitute y = x - 5 into (2)
4x + x - 5 = - 10
5x - 5 = - 10 ( add 5 to both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
Substitute x = - 1 into (3) for corresponding value of y
y = - 1 - 5 = - 6
(b)
As a check
Substitute x = - 1, y = - 6 into the left side of the 2 equations and if equal to the right side then they are the solution
(1 ) x - y = - 1 - (- 6) = - 1 + 6 = 5 ← True
(2) 4x + y = 4(- 1) + (- 6) = - 4 - 6 = - 10 ← True
Thus solution is (- 1, - 6 )
please help me out with this
What is the domain of the function graphed below?
Answer:
Positive infinite to negative infinite
Step-by-step explanation:
(-4z+1) (5z-2)=
solution plz.
Answer:
-20z² + 13z - 2.
Step-by-step explanation:
hello !
you use the F.O.I.L method to multiply these two. first, you multiply the first terms, which are:
(-4z)(5z) = -20z²
then, the outside terms, which are:
(-4z)(-2) = 8z
then, the inside terms, which are:
(1)(5z) = 5z
then, lastly, the last terms, which are:
(1)(-2) = -2
Therefore, we get:
-20z² + 8z + 5z - 2.
combine like terms, and the answer is:
-20z² + 13z - 2.
Question Progress
Solve the inequality 5y + 4 < 3y + 17
Answer:
y < [tex]\frac{13}{2}[/tex]
Step-by-step explanation:
Given
5y + 4 < 3y + 17 ( subtract 3y from both sides )
2y + 4 < 17 ( subtract 4 from both sides )
2y < 13 ( divide both sides by 2 )
y < [tex]\frac{13}{2}[/tex]
Answer:
y < 13/2
Step-by-step explanation:
What is the height and area of the polygon?
Answer:
Below in bold.
Step-by-step explanation:
If we draw a line from top right vertex perpendicular to the bottom line we get a right triangle.
Height of this triangle = sqrt(5^2 - 3^2) = 4.
This is also the height of the polygon.
The polygon is a trapezium so:
Area of the polygon = 1/2(5 + 8) * 4
= 6/5 * 4
= 26 m^2.
Okay lets get one thing straight Tsukki is not a nerd he is shmexy ! And Kyo is not just "okay" he is mega hot!
Answer:
Nope. Icy-hot, you've got it all wrong, Tsukkishima is a godda.mn nerd like Deku, and Kyo is meh.
What is the distance between (7,-3) and (4, -5)
Answer:
(3,2)
Step-by-step explanation:
Please do number 3___________________
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Answer:
m∠SVW = 80°
Step-by-step explanation:
3. The sum of same-side interior angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.
4x + 5x = 180
9x = 180 . . . . . . . . collect terms
x = 20 . . . . . . . . . . divide by 9
m∠SVW = 4x° = 4(20)°
m∠SVW = 80°
_____
4. Then m∠VWT = 180° -80° = 100° = 5x°.
__
5. Consecutive interior angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)
Help will give crown Find the missing side length
Answer:
11cm
Step-by-step explanation:
JJack, Jill, and Bill each carried a 48-fluid ounce bucket full of water down the hill. By the time they reached the bottom, Jack's bucket was only 3/4 full, Jill's was 2/3 full, and Bill's was 1/6 full. How much water did they spill altogether on their way down the hill?
Answer:
Jill lost 1/3
Bill lost 1/6
and Jack lost 1/4
Make a common denominator - let's use 12
Jill lost 4/12
Bill lost 2/12
Jack lost 3/12
Add them together = 9/12
reduce by dividing by 3.
total of 3/4 spilt
48 divided into 4 parts then multiplied by 3 of those parts
48 / 4 * 3 = 36
Step-by-step explanation:
Calculate the area of a kite that has diagonals that measure 6 centimeters and 8 centimeters.
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Answer:
24 cm²
Step-by-step explanation:
When the diagonals of a quadrilateral cross at right angles, the area of it is half their product.
A = (1/2)(d1)(d2)
A = (1/2)(6 cm)(8 cm) = 24 cm²
The area of the kite is 24 square centimeters.
allison read 4/8 of an hour everyday of the week. How many hours does she read each week
Answer:
3 1/2 hours
Step-by-step explanation:
Multiply 4/8 by 7 and you get 28/8 whihc reduces to 3 4/8 and 4/8 can be simplified to 1/2
Answer:
Step-by-step explanation:
Hi! So I am not sure if when you mention for the week if she is talking about the school week(5Days) or a regular week (7 days). So we'll do both.
We know that 4/8 hour can be simplified to 1/2 hour. We also know that 1 hour is 60 minutes ... so 1/2 hour is 30 minutes. This means she reads 30 minutes per day.
School Week: 5 Days
30 minutes x 5 Days = 150 minutes or 2 hours and 30 minutes (2 1/2 hours) (20/8 of an hour)
Regular Week: 7 Days
30 minutes x 7 days= 210 minutes or 3 hours and 30 minutes (3 1/2 hour) (28/8 of an hour)
Please mark me the brainliest or not ! I hope this answers your question
Carla was asked to draw all the lines of symmetry for a regular pentagon. She drew
the picture below. What was Carlas mistake? Explain in detail what she did wrong
and what the correct image would look like.
Answer:
Simple, Her Pentagon is not straight
Step-by-step explanation:
Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.
Hope this helps ^
We have that the correct Pentagon should have
Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straightSymmetry
This can be defined as an exact correspondence between different part of a system .
Therefore it can be said that Carla's Pentagon lacks Symmetry
Where a
Pentagon
is defined as a a shape with five sides and five angles
In this sense the is absolutely nothing with Carla's Pentagon
But if Carla is going for a pentagon with equal sides and and, Then
Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straightFor more information on this visit
https://brainly.com/question/17054992
You have a friendship club. There are 12 members in your club. On the twelfth day of each month, you have a friendship call. Each member of the club talks to every other member that day by phone. This way everybody expresses his or her friendship with each other. How many conversations are made on that day?
Answer: There are a total of 66 conversations.
Step-by-step explanation:
Ok, we have 12 members.
let's call them:
member 1, member 2, member 3, etc...
Let's assume that member 1 starts talking to the others, then he talks to:
member 2, member 3, member 4, etc.
So member 1 talks to the other 11 members.
We have already 11 conversations.
Now let's count the conversations of member 2.
He talks to member 1, member 3, etc.
But the conversation between member 1 and member 2 was already counted, so we do not count it this time, then here we have other 10 conversations.
now for member 3. He talks with member 1, member 2, member 4, member 5, etc...
But conversations between member 1 and member 3, and member 2 and member 3 are already counted, so here we have 9 new conversations.
We already can see the pattern here.
For each new member that we count, the number of conversations is one less than for the previous member.
The total number of conversations will be:
11 + 10 + 9 + 8+ 7 + 6+5 + 4 + 3+ 2+ 1 = 66
Drag numbers to show which are closest to ‐1 and ‐14 on the number line.
A number line from negative 1 to 1 in fourths.
Closest to ‐1
Closest to ‐14
The closest number to -1 from the given options is -0.82
The closest number to -1/4 from the given options is -0.28
How to Interpret Number Lines?
A number line is a visual representation of numbers on a straight line. This number line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
Now, from the number line given we want to find the numbers that are closest to -1 and -1/4.
The closest number to -1 from the given options is -0.82
The closest number to -1/4 from the given options is -0.28
Read more about Number Lines at; https://brainly.com/question/4727909
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Jana has $10. She wants to buy a bottle of nail polish for $9.50. The sales tax is 7%. Does she have enough money?
Answer:no, she would be 17 cents short
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
Compute the tax =
9.50 * 7% = 9.5 * .07 or 66.5 cents.
Since she only has $10, she does not have enough money.
A 2-year loan of $500 is made with 4% simple interest.Find the interest earned
Answer:
$40
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 500(.04)(2)
Based on the information given the interest earned is $40.
Using this formula
Interest =Principal× Rate× Time
Where:
Time =2 year
Principal=$500
Rate=4% or 0.04
Let plug in the formula
Interest=500(0.04)(2)
Interest=$40
Inconclusion the interest earned is $40.
Learn more here:https://brainly.com/question/20981855
I need help I can’t understand having the answer is going to help a lot
Answer:
Step-by-step explanation:
35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4
What errors did her coach make in the following example
Answer:
its the last one & the 3rd one.
hope that helps
Write and solve an equation to answer the question,
"18 is 32% of what number w?"
An equation is
= 0.32
The solution is w=
Answer:
the answer is 56.25
Step-by-step explanation:
.32x=18
×=56.25
Help would be appreciated thanks .
Answer:
my answer was wrong and cannot help
PLEASE HELP ME!!!!!!!!!!!!
Rosa is selling juice and cookies for a fundraiser. She earns $2 for every cookie and $3 for every bottle of juice. She wants to earn at least $24 from all the sales. Let x represent the number of cookies sold and y represent the number of bottles of juice sold. What does the slope of this inequality represent? 2x + 3y ≥ 24
Answer:
The slope is 2. It represents the price of the cookies.
Step-by-step explanation:
The slope is 2 because its in frount of the x and 2 is the price of the cookies.
Which are the partial products for 8x362? Select all that apply.
Answer:
Are you guys classmates?
35= h(b1+b2) solve for b2
Answer: look at the picture and I don’t know how to solve for b but I can do h
Step-by-step explanation: hope this help :)
Answer:
i dont know
Step-by-step explanation:
i dont know
Evaluate x=-3, y=4, z=-5
Answers suggested below
-17
41
23
-40
-58
-16
Answer:
2. -16
6. 23
7. -40
8. -17
9. 41
10. -58
There are 120 counters in a bag.
40% of the counters are red.
3/8 of the counters are yellow.
The rest of the counters are green.
Find what fraction of the counters are green.
Answer:
9/40
Step-by-step explanation:
120 × ⅖ = 48
120 × ⅜ = 45
120 - 93 = 27
27/120 = 9/40
Based on the proportions and the counters in the bag, the fraction that is green is 9 / 40.
Number of Green countersYou can find the number of green counters by:
= Number of counters - Red counters - Yellow counters
= 120 - (120 x 40%) - (120 x 3/8)
= 120 - 48 - 45
= 27 green counters
Fraction of green counters= Number of green counters / Total number of counters
= 27 / 120
To take it to the lowest term, divide both numbers by 3:
= 9 / 40
In conclusion, the fraction is 9 / 40.
Find out more about fractions at https://brainly.com/question/17743912.
what’s the answer, help please !
