Answers
9514 1404 393
Answer:
1. 2x +2y = 310; x -y = 55
2. y = 50, x = 105
Step-by-step explanation:
Let the numbers be represented by x and y. Double the numbers would give 2x and 2y. We're told the sum of the doubled numbers is 310, so one equation is ...
2x + 2y = 310
The difference of the numbers is (x-y). We're told that difference is 55, so the other equation is ...
x - y = 55
__
We can divide the first equation by 2, and subtract the second.
1/2(2x +2y) -(x -y) = 1/2(310) -(55)
2y = 100 . . . . . . . simplify
y = 50 . . . . . . . . . divide by 2
x -50 = 55 ⇒ x = 105 . . . . use the second equation to find x
The two numbers are 105 and 55.
Related Questions
y-(-3y) combine the like terms to create an equivalent expression
Answers
Answer: 4y
Step-by-step explanation:
Distribute the negative sign to get rid of the parentheses
y+3y = 4y
A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder
Answers
Answer:
H ≈ 10.994424 m ≈ 11 mStep-by-step explanation:
[tex]V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m[/tex]
I need some help here please
Answers
Answer:
d. raíz de 44
[tex] \sqrt{48 \\ } [/tex]
That’s because in radicals if there’s a square inside they square root that and put it on the outside. For example for √8, it would be 2√2, since the four can be square rooted, and there is still a 2 left inside the square root. For √48, there is a sixteen inside so you square root the 16 and get 4√3. Hope this helps
what is £120 by 40% Decreased
Answers
Explanation:
Decrease: (1-40%)
120 x (1-40%)
= 120 x 60/100
= 120 x 3/5
= 360/5
= £72
Answer:
£72
Step-by-step explanation:
100% - 40 = 60%
60/100 = 0.6
0.6 * £120 = £72
40/100 = 0.4
0.4 * £120 = £48
To check:
£72 + £48 = £120
Hope that helps!
What is the volume of a cylinder with radius 6 and height of 4. Use 3.14 for pi
Answers
HELLP ILL GIVE ALL MY POINTS IF SOMEONE HELPS The ratio of bows to headbands of Monique’s hair accessories is 8:4.
Select all true statements.
For every 8 hair accessories, 4 are bows.
For every 8 bows, there are 4 headbands.
For every 8 headbands, there are 4 bows.
For every 8 hair accessories, 4 are headbands.
For every 12 hair accessories, 4 are headbands.
Answers
Answer:
Its a
Step-by-step explanation:
Answer:
B and D I think
Explaination:
its bows to hair so its 8:4
and add head bands to bows thats 12
12:4
( all to headbands)
Hope it make sense
2. A plastic smartphone case is roughly rectangular and measures 6 in. by 3 in. The back side of
the case has two sections cut out: a l in. by 0.5 in. rectangle for the camera and a triangle that
is 1.5 in. wide and 1.5 in. tall so that the brand logo on the phone is visible when it is in the
case. What is the approximate area of the plastic on the phone?
15.25 in.2
0 16.375 in.2
019.625 in 2
20.75 in 2
Answers
Answer:
ITs 16.375 in.2
Step-by-step explanation:
If your in connections and you have Lesson 4: Area of Other Figures
Math 7 B Unit 3: Measurement the whole quick check answers are
1. D. 40.5cm2
2. B. 16.375 in.2
3. B 540cm2
4. C 460
Your welcome also I swear these are right!
The perimeter of triangle ABC is 96. Find the value of x. 4x + 1 2x 3x + 2 perimeter of ABC = 96
Answers
Answer:
4.5is answer
Step-by-step explanation:
perimeter of ABC = 96
4x + 1 2x 3x + 2=96
21x=96
x=96/21=4.5
which graph models the solution of the Inequality -6 ≤ -3x
Answers
First make x the subject which would be -6/-3 ≤ x
Which is 2 ≤x and that is represented in B
We know that graph (B) models the solution of the given inequality -6 ≤ -3x.
What are graphs?Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function.Line graphs, bar graphs, pie charts, scatter plots, and histograms are examples of common graph types. Graphs are a fantastic tool for displaying statistics and visualizing data. To depict numerical data that is unrelated to one another, a bar graph or chart may be utilized.So, in the given inequality:
-6 ≤ -3xWe know that:
Make x subject: -6/-3 ≤ xWhich is 2 ≤ x, represented in a graph (B).Therefore, we know that graph (B) models the solution of the given inequality -6 ≤ -3x.
Know more about graphs here:
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A middle school took all of its 6th grade students on a field trip to see a symphony at
a theater that has 4500 seats. The students filled 2205 of the seats in the theater.
What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
Answer:
49%
Step-by-step explanation:
to get the percentage you put the number of occupied seats over total number of seats and multiply it by 100 over 1
16. Hanna has a bag of 23 marbles. 5 marbles are red, 6 marbles are blue, and the rest
are pink. Abby takes out two pink marbles without replacing them. What is the
probability that the next marble he draws will be blue?
A. 10/21
B. 4/21
C. 2/7
D. 6/23
Answers
Answer:
C. 2/7
Step-by-step explanation:
When two pink marbles are taken without replacement then the total number of marbles in the bag are reduced to 21 marbles. So the blue marble, which are currently in total 6 marbles, is taken out of the total of 21 marbles. The calculation of which is done as below:
Probability of Next Marble to be blue
= Blue Marble / Total Marbles in the bag
= 6 / 21
= 2 / 7
Hence, the correct option is C. 2/7
Determine whether ABCD is a parallelogram if AB = 6, BC = 12, CD = 6, and DA = 12. Justify your answer
A/ Yes; Opposite sides are congruent to each other.
B/ Yes; Opposite sides are parallel to each other.
C/ Yes; Opposite angles are congruent to each other.
D/ No
Answers
Everything at a store is on sale for 25% off. The regular price of a jacket is $35.00. What is the discount price?
Answers
Answer:
$26.25
Step-by-step explanation:
35(1-0.25)
= 35(0.75)
= 26.25
Each 5% is 1.75
Need 5 of these so 8.75
Because it is a discount 35-8.75=$26.25
HELPPP PLEASE!!!! HELP
Answers
2 x=7
3 t=3
B1 x=3
2 x=2
3 z= √6
When adding two mixed numbers, you should add the ignore the fractions and add the mixed numbers first.
True
False
Answers
Answer:
FALSE
.....
I think?
? pls help lol ??????????????????
Answers
Answer:
d is not a function
Step-by-step explanation:
The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges
Answers
Answer:
$1.38
Step-by-step explanation:
The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges
The cost difference is calculated as:
Cost of 6lbs of oranges - Cost of 4lbs of oranges
Cost of 6lbs of oranges = $6.18
Cost of 4lbs of oranges = $4.80
Hence,
= $6.18 - $4.80
= $1.38
Is my answer right? if not can you please show me the correct answer
Answers
Answer: No, is a=9
Step-by-step explanation:
Written as a simplified polynomial in standard form, what is the result when
(x - 2)^2is subtracted from 9x^2-8x?
Answers
Answer:
9x^2 - 10x -4
Step-by-step explanation:
It is set up like this
9x^2 - 8x
- (x-2)2
First solve (x-2)2
the answer is (2x-4)
so now you can do this instead
9x^2 - 8x
- 2x - 4
----------------------------------
9x^2 - 10x +4
9x^2 minus zero is 9x^2
-8x-2x is -10x
0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive
A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus
like this
9x^2 - 8x
+ -2x + 4
----------------------------------
9x^2 - 10x +4
Answer:
8x^2-4x-4
Step-by-step explanation:
On delta math
- 5x + 9y = - 32
-5x - 3y = 4
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :)
Please help.. Answer number 34 and 35. For number 34 find the measures of the numbered angles in each isosceles trapezoid. For number 35 find the measures of the numbered angles in each kite.
Answers
Answer:
33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°
34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°
35. m∠1 = 90°, m∠2 = 25°
Step-by-step explanation:
33. The given parameters of the isosceles trapezoid are;
The measure of one of the base angles = 45°
For an isosceles trapezoid, the base angles are equal, therefore, we have;
The measure of the other base angle = m∠3 = 45°
Similarly, m∠1 = m∠2
Also, we have;
The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°
∴ 45° + m∠3 + m∠1 + m∠2 = 360°
By substituting the known values, we have;
45° + 45° + m∠1 + m∠2 = 360°
From m∠1 = m∠2, we have;
45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°
2·m∠1 = 360° - 90° = 270°
∴ m∠1 = 270°/2 = 135°
m∠1 = 135° = m∠2
Therefore, we have;
∠3 = 45°, ∠1 = 135°, ∠2 = 135°
34. The measure of the base angles = 80°
∴ The measure of the other base angle = m∠1 = 80°
m∠2 = m∠3
80° + m∠1 + m∠2 + m∠3 = 360°
∴ 80° + 80° + 2·m∠2 = 360°
m∠2 = (360° - (80° + 80°))/2 = 100°
m∠2 = 100° = m∠3
35. The kite comprises of two half isosceles triangles
The base angles of the right half isosceles triangle = 65°
The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)
Therefore, m∠1 = 90°
The diagonals bisect the angles at the vertices (Kite theorem)
Therefore, we have;
65° + 90° + m∠2 = 180°
m∠2 = 180° - (65° + 90°) = 25°
m∠2 = 25°.
I have a friend Robert who is an expert at taking the difference of consecutive perfect squares. This means that if I give him a number $x$, he immediately computes $$x^2 - (x - 1)^2$$and gives me the result. I decided one day to first give Robert the number $9$, then the number $6$, and finally the number $4$. Robert gave me three numbers in return. What is the sum of these three numbers?
Answers
Answer:
35
Step-by-step explanation:
Please look at the attachment down below.
Hope this helped! :)
The sum of three number is 35.
What is Square?A square number is the result when a number has been multiplied by itself.
For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.
Given:
if the number given is 9
9² - (9 - 1)² = 9² - 8²
= 81-64
= 17.
if the number given is 6.
6² - (6 - 1)² = 6² - 5²
= 36-25
= 11.
if the number given is 4.
4² - (4 - 1)²= 4² - 3²
= 16-9
= 7.
Thus, the sum of three number is
=17 + 11 + 7
= 35
Learn more about square here:
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Write down in terms of n an expression for the nth term of the following sequence
12 16 20 24 28
Answers
Answer:
4n + 8
Step-by-step explanation:
The soccer club held a spaghetti dinner. They sold 39 child tickets for $3.75 each and 27 adult tickets for $5.95 each. The amount for 11 child tickets was refunded. Estimate the amount of income received by the soccer club.
Answers
Answer:
265.65
Step-by-step explanation:
(3.75*39)+(27*5.95)-(11*3.75) = 265.65
At a zoo, the price of 4 adult tickets and 6 child tickets is $77.The price of 6 adult tickets and 4 child tickets is $83. What is the ticket price for one adult and for one child?
Answers
Answer:
the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5
Step-by-step explanation:
Given that:
the price of 4 adult tickets & 6 child tickets = $77
the price of 6 adult tickets & 4 child tickets = 83
then the price of 1 adult ticket and 1 child ticket will be:
Let assume that the cost of 1 adult ticket to be $p
Then;
the cost of 4 adult ticket = $4p
Similarly, the cost of 6 adult ticket = $6p
However, assuming that the cost of 1 child ticket is $q
Then;
the cost of 6 child ticket = $6q
the cost of 4 child ticket = $4q
∴
We can express them with their given prices that:
4p + 6q = 77 --- (1)
6p + 4q = 83 --- (2)
From equation (1), let 4p = 77 - 6q
Then; [tex]p = \dfrac{77 - 6q}{4}[/tex]
replace the value of p into equation (2)
∴
[tex]6 \Big ( \dfrac{ 77 - 6q }{4}\Big) + 4q = 83[/tex]
[tex]\dfrac{462 - 36q}{4}+ 4q = 83[/tex]
[tex]115.5 - 9q + 4q = 83 \\ \\ 115.5 -5q= 83 \\ \\ 115.5 - 83 = 5q \\ \\ 32.5 = 5q[/tex]
[tex]q= \dfrac{32.5}{5}[/tex]
q = 6.5
Since q = 6.5, then using equation (1)
4p + 6(6.5) = 77
4p +39 = 77
4p = 77 -39
4p = 38
p = 38/4
p = 9.5
Thus, the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5
Anais bought 4 1/2 yards of ribbon. She had 3 feet 8 inches of ribbon left after trimming some curtains. How many inches of ribbon did anais use to trim the curtains
Answers
Answer:
First convert all numbers into inches since that is the answer being solved for.
1 yard =36 inches
4.5 x 36 = 1,620 inches
1 foot = 12 inches
3 x 12 = 36 inches
36 + 8 = 44 inches
Now take 1,620 inches (starting ribbon measure) and subtract 44 inches (what was left over) to get the inches used to trim curtains.
1,620 inches - 44inches =
1,576 inches were used to trim the curtains.
Step-by-step explanation:
Brainly highly appreciated <3
If a field's length is 75m and breadth is 50m then what is the area?
Answers
Answer:
3750m^2 is it's area hope it helps
Answer:
3750m²
Step-by-step explanation:
75x50=3750
What is the solution set of –|x| = –8?
{8}
{–8}
{–8, 8}
no solution
Answers
Answer:
its c -8,8
Step-by-step explanation:
please help me with this
Answers
Answer:
a=8/2 b=9/4 c=13/5
In 42 minutes, Mr. Goo can run 6 miles. How long does it take him to run 1 mile?
Answers
Answer:
7 min
Step-by-step explanation:
Answer:
7 Minutes
Step-by-step explanation:
If you divide 42 by 6, you get 7.