Answer:
B
Step-by-step explanation:
Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50
Answer: Smaller number = 6
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
Let the larger number be y.
Three times a larger number is 30 more than 5 times a smaller number. This will be:
3 × y = (5 × x) + 30
3y = 5x + 30 ...... i
The sum of the larger number and 5 times the smaller number is 50. This will be:
y + 5x = 50 ...... ii
From equation ii
y + 5x = 50.
y = 50 - 5x ...... iii
Put the value of y = 50 - 5x into equation i
3y = 5x + 30
3(50 - 5x) = 5x + 30
150 - 15x = 5x + 30
150 - 30 = 5x + 15x
120 = 20x
x = 120/20
x = 6
The smaller number is 6
Note that y + 5x = 50
y + 5(6) = 50
y + 30 = 50
y = 50 - 30
y = 20
The bigger number is 20
Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?
Answer:
$6727.50
Step-by-step explanation:
35/1000*6500
= 35*6.5
=227.50
6500+217.50
6727.50
What does 43/12 is equivalent too?
Hi there!
Fractions can be equivalent to a lot other fractions...
Explanation:
43/12x2 would be 86/24 so that would be equivalent.
Let do another one..
43/12 when doing this, you can decide to divide or not but this is in the simplest form already so we can just multiply 43 and 12 with anything we want so let do... 5.
So 43 multiply by 5 would be..215 and 12x5 would be 60. So another equivalent fractions that’s the same as 43/12 or we can say 86/24 is 215/60.
I also added how I got the equivalent fractions just in case you don’t understand still...
Todoroki's training practice starts at 9:45 A.M and ends at 12:35 P.M. How long is Todoroki's training practice?
Answer:
2 hours and 9 minutes
Step-by-step explanation:
What two numbers are located 3/4 unit from 1/10 on a number line?
Answer:
-13/20 and 17/20Step-by-step explanation:
The numbers are either side from 1/10
To the left:
1/10 - 3/4 = 2/20 - 15/20 = -13/20To the right:
1/10 + 3/4 = 2/20 + 15/20 = 17/20
Another chance for brainliest if it correct ! Please help
Answer:
Step-by-step explanation:vdcdcdcdcdc
Solve the equation. Check your solutions.
|4b+4|=|2b+8|
Answer:
b = 2 or b = -2Explanation:
|4b + 4| = |2b + 8|
Solve absolute value
|4b + 4| = |2b + 8|
Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)
4b + 4 = 2b + 8 (Possibility 1)
4b + 4 − 2b = 2b + 8 − 2b (Subtract 2b from both sides)
2b + 4 = 8
2b + 4 − 4 = 8 − 4 (Subtract 4 from both sides)
2b = 4
2b / 2 = 4 / 2 (Divide both sides by 2)
b = 2
4b + 4 = −(2b + 8) (Possibility 2)
4b + 4 = −2b − 8 (Simplify both sides of the equation)
4b + 4 + 2b = −2b − 8 + 2b (Add 2b to both sides)
6b + 4 = −8
6b + 4 − 4 = −8 − 4 (Subtract 4 from both sides)
6b = −12
6b / 6 = -12 / 6 (Divide both sides by 6)
b = -2
b = 2 or b = -2You are selling concessions at a local swim meet. Hot dogs are being sold for
$1.00 and soda is being sold for $0.50. At the end of the day you made $150.
Let x represent the number of hotdogs sold and y represent the number of
sodas sold. Write an equation that can be used to find the number of hotdogs
and sodas sold at the swim meet.
Answer:
150 = 0.50y + 1.00x
Step-by-step explanation:
Answer fasttt plsssssss
Answer:
25ax25b= 625
a recipe for sparking grape juice calls for 1 1/2 quarts of sparking water and 3/4 quarts of grape juice. how much sparking water would you need to mix with 9 quarts of grape juice?
Answer:
you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice
Step-by-step explanation:
1 1/2 is double of 3/4 so you just need to double 9 quarts of grape juice
Answer:
18 quarts of sparkling water
Step-by-step explanation:
9÷0.75=12 to figure how many times the recipe is multiplied.
12x1.5=18 to figure out how much sparkling water
3/4 = 0.75
1 1/2 = 1.5
graph the image of M (–10,–7) after a rotation 180° counterclockwise around the origin.
Answer and Step-by-step explanation:
The point will be (7, 10).
#teamtrees #WAP (Water And Plant)
The image of the point M is M' = (10, 7) as shown in the graph below.
What is Coordinate Geometry?One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.
As per the given data:
Coordinates of point M = (-10, -7)
Rotation to be given = 180° (counter - clockwise)
For drawing the image of point M (-10, -7):
Step 1: Create a line connecting the origin to the point M (-10, -7) and extending across the third and first quadrants.
Step 2: Modify the x and y coordinates signs to reflect the 180° rotation, then mark the point in the first quadrant.
The image of the point M is M' = (10, 7) as shown in the graph below.
Hence, the image of the point M is M' = (10, 7).
To learn more about Coordinate Geometry, click:
brainly.com/question/7869125
#SPJ2
A cyclist travels at an average speed of 13 mph for 3 hours.
How far did she travel in miles?
Answer:
39 miles
Step-by-step explanation:
We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.
To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.
Meaning that for every hour, 13 miles were driven.
Therefore we need to multiply 13 by 3 to get our answer :
13 miles * 3hrs
39 miles
Jack spends 15% of his pocket money on sweets and 35% on magazines.He saves the rest.Work out how much he spends and saves each week
in the diagram shown, which angle pairs form complementary angle
Answer: angle DBE & angle ABD and angle EBF & angle FBC
Step-by-step explanation:
complimentary angles add up to 90 degrees, so just find the pairs of angles that add up to 90 degrees.
Express as integer: a deposit of $100
Answer:
Well if you deposit something you won't have it so negative. If you earn something then it is positive. So it is negative
Step-by-step explanation:
:)
solve the problem for number 13.
Answer:
m ∠Y = 39°
Step-by-step explanation:
The sum of all angles in a triangle is 180°, so you just have to add m∠Z and m∠X, which will be 113 + 28 = 141. 180 - 141 = 39°
Answer:
if the shape is a triangle, just find the 3rd number and they should all add to 180 degrees.
What is the greatest common factor (GCF) of 12x and (3x^2 + 6x)?
(B) 3x
(C) X + 2
(D) 3x(x + 2)
(A) 3
Help please :>
Convert 108 km/hr into m/s
Answer:
hello :) the answer is 30 m/s
Answer:
30m/s
Step-by-step explanation:
Convert km to m:
108 —> 108000
Convert hr to s
1 —> 3600
Now put them back into their place in the fraction: 108000/3600
Simply the fraction: 30m/s
A mountain climber climbed down a cliff 10 metres at a time. He did this 5 times in one
day. What was the overall change in his elevation?
-50m
150m
-150m
50m
Answer:
-50 m
Step-by-step explanation:
its negative elevation because he is going down
(HELP FAST PLEASE)
Rodrigo scored 17 goals in 6 games. At this rate how many goals will he score in 4 games? Round your answer to the nearest whole number.
Answer:
I think of scoring 6 goal
Answer:
approximately 12
Step-by-step explanation:
17 divided by 6 is 2.83333333 (it keeps going) 2.833333 rounded to the nearest whole number is 3 so if rodrigo scores approx 3 goals a game for 4 games it would be 12
Identify the correct explanation for why the triangles are similar. Then find OP and MN.
Options:
A. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=8 and MN=4.
B. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
C. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=4 and MN=8.
D. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
Answer:
The correct explanation is option B;
B. ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6
Step-by-step explanation:
The given parameters are;
[tex]\overline {LP}[/tex] = 5
[tex]\overline {NP}[/tex] = 10
[tex]\overline {LN}[/tex] = [tex]\overline {LP}[/tex] + [tex]\overline {NP}[/tex] = 15
[tex]\overline {OP}[/tex] = x - 3
[tex]\overline {MN}[/tex] = x + 1
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠L ≅ ∠L [tex]{}[/tex] By Reflexive property of congruency
[tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex] [tex]{}[/tex] Given
∠LOP ≅ ∠LMN [tex]{}[/tex] By the Corresponding angles Postulate
Therefore
ΔLOP ~ ΔLMN [tex]{}[/tex] By AA similarity Postulate
Where we have that ΔLOP and ΔLMN, we get;
[tex]\overline {OP}[/tex]/[tex]\overline {MN}[/tex] = [tex]\overline {LP}[/tex]/[tex]\overline {LN}[/tex] = 5/15 = 1/3
∴ (x - 3)/(x + 1) = 1/3
3·(x - 3) = 1·(x + 1)
3·x - 9 = x + 1
3·x - x = 1 + 9 = 10
2·x = 10
x = 10/2 = 5
x = 5
[tex]\overline {OP}[/tex] = (x - 3) = 5 - 3 = 2
[tex]\overline {OP}[/tex] = 2
[tex]\overline {MN}[/tex] = x + 1 = 5 + 1 = 6
[tex]\overline {MN}[/tex] = 6
Therefore, the correct option is ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.
Tom has ⅞ cup of olive oil. He uses ½ cup to make salad dressing and ¼ cup to make tomato sauce. How much olive oil does Tom have left?
Answer:
1/8 cup left
Step-by-step explanation:
Starts with 7/8
Uses 1/2 which equals 4/8
Then uses another 1/4 which equals 2/8
4/8+2/8 is 6/8 so he uses 6/8 of olive oil
He has 7/8 and uses 6/8 so 7/8-6/8 quals 1/8
If an orange is 14cm in diameter.if 3/7 of it is juice,what volume of juice can you get from 5 such oranges.
(Pie=22/7)
Answer:
3079.5 cm^3
Step-by-step explanation:
We need to find the volume of the orange using the volume of a sphere formula V= 4/3 (π)(r^3). So we plug in the numbers V= 4/3 (22/7) (7^3) and solve. Simple simply the exponent and multiply everything. V= 4/3 (22/7) (343)= 1437 cm^3. Then we take 3/7 from the volume to focus on the juice. 1437(3/7) = 615.9 cm^3. Then multiply by five to find the volume of juice from 5 oranges. 615.9(5)= 3079.5 cm^3
What is the slope? ASAP!!!
Answer:
2/1 I think but i don't know
-6, 12 ,-24 ,48 what would be the next term in this sequence (help ASAP please )
7c - 4
algebraic expression
Answer:
4 taken away from 7 times a number
Step-by-step explanation:
4 taken away (-4) from 7 times (7x) a number (c)
7c - 4
Answer:
It's the 3rd one. Four taken away from the product of seven and a number
Step-by-step explanation:
since it's 7c this shows that we are multiplying them together and then taking away 4.
PLEASE HELP I WILL MARK YOU BRAINLIEST
Toby wants to make 5 pizzas using the same amount of sauce per pizza. He has 10 5/7cups of sauce. How many pizzas can he make?
You have 17 1/2 pounds of frozen fish in each of 7 sacks. How many pounds of fish do you have the total?
Answer:
you have 8.5 pounds of fish
Step-by-step explanation:
1/2 =0.5 and 0.5 ×16 =8
and thata will leave one half left which means you will have 8.5 pounds of fish the pizza one i'm not too sure about you would have to tell how much sauce there is supposed to be per pizza then i would be able to answer.
Hope this helps
I WILL MARK BRAINLIEST
Answer:
I think the answer would be the very first one.
they all need to have '' ( ) '' in them.
if a number is outside of that, it needs to at least have a letter beside the number
here's an example
Factored form:
2x(x + y)
not factored:
2(x - y)
but for the first one, it's correct from the rest of them.
Evaluate 3√343 + 3/4 3√-8
Answer:
5 1/2 is the answer, hope this helps
pls help me for brainless
and 60points
Answer:
2nd
Step-by-step explanation:
Answer:
the orange one
Step-by-step explanation:
3x^2+x-2
3x^2 cant be broken down more because its a prime number. the only thing that can change is the x^2. the main difference between the blue and orange one is that the blue one has the second sign incorrect.
