Show all working!!!
A trader has 8 bags each containing 9kg of sugar. If he wants to put the sugar into new bags each containing 6kg. How many of the new bags are required?
a. 7
b. 10
c. 12
d. 18
e. 54
A box of cereal states that there are 84 calories in a 3/4-cup serving. What is the unit rate for calories per cup? How many calories are there in 3 cups of the cereal?
Answer:112 calories per cup.
Step-by-step explanation:
question
how would you solve this problem
the ratio of *name*'s age to his brother's is 2:3. In ten years, the ratio would be 4:5. How old is *name* and his brother now and in 10 years?
also how would you solve it if the ratio changed to something different, ex: 1:3 to 3:5 in 10 years
Answer:
*name* is 10 years old now and brother is 15 years now
In 10 years they would be 20 and 25 respectively
Step-by-step explanation:
Let x = *name*'s age now
let y = brother's age now
The first relationship is that the ratio of their ages now is 2:3 or, in fraction form 2/3
That means x/y = 2/3
Cross multiply => 3x = 2y =>
3x - 2y = 0 [1]
10 years from now x would become x + 10 years, y would become y + 10 years and the new ratio is 4/5
So (x + 10)/(y+10 = 4/5
Cross-multiply
5(x + 10) = 4(y + 10)
5x + 50 = 4y + 40
Subtract 4y from both sides
5x + 50 -4y = 40
and subtract 50 from both sides:
5x - 4y = 40 - 50
5x -4y = -10 [2]
Eliminate y terms by multiplying [1] by 2 and subtracting [1] from that
[1] x 2
=> 2(3x - 2y) = 2 x 0
=> 6x - 4y = 0 [3]
[3] - [2]
6x - 4y - (5x -4y) = 0 - (-10)
6x - 4y -5x + 4y = 10
x = 10
Using equation [1] we get
x/y = 2/3
=> 10/y = 2/3
10 x 3/2 = y
5 x 3 = y
y = 15
So their ages are 10 and 15 now.
In 10 years they would be 20 and 25
If the ratios change we would have a different set of equations to solve for
For example if the current ratio is 1/3
Then we would get x/y = 1/3
or 3x - y = 0 [4]
and if 10 years from now the ratio is 3/5 then
(x + 10)/(y + 10) = 3/5
=> 5(x+10) = 3(y + 10)
=> 5x + 50 = 3y + 30
=> 5x - 3y = -20 [5]
And we would solve these equations to get x and y in a similar mannter
FYI the answers would be
x = 5, y = 15
Which statements are correct interpretations of this graph?
(multiple choice!)
(please don't be rude.)
There are 3 g of dietary fiber in every 2 tomatoes.
There are 1.5 g of dietary fiber per tomato.
There are 0.7 g of dietary fiber per tomato.
There are 2 g of dietary fiber in every 3 tomatoes.
Answer:
There are 3 g of dietary fibre in every 2 tomatoes.
Step-by-step explanation:
If you read from the first blue dot closest to the origin you can see 2 tomatoes contains 3g of dietary fibres hence making the first option true.
Answer:first and second
Step-by-step explanation:
chart:3 fiber= 2 tomatoes
=1.5 fiber=1 tomato
Write the inequality for the graph.
Answer:
x ≥ 4
Step-by-step explanation:
The number 4 and all the numbers above 4 are a solution.
A textbook is 5/6 of an inch thick. If 18 textbooks will be stacked one on top of the other, how tall will the stack be?
Answer:
15.
Step-by-step explanation:
If explanation is needed please notify me!
Solve negative a minus five eighths equals three fifths for a.
a equals 49 over 40
a equals negative 49 over 40
a equals 1 over 40
a equals negative 1 over 40
help me please i need so much help
Answer:
x=11
y=4
Step-by-step explanation:
To solve for x, the polygon is symmetrical (because it is regular). So x-3 = 8
x= 11
Similar means the sides are proportional (will be in a ratio)
Big polygon ~ small polygon
16 ~4
8~y/2
We can use these to solve for y.
[tex]\frac{16}{4} =\frac{8}{y-2}[/tex]
Cross multiply: 16y-32 = 32
y=4
(4.6s + 2)(3.5) =
what is the answer
can someone help please? take ur time btw :D
Answer:
Negative 7/40 or - 7/40
Step-by-step explanation:
Answer: -7/40
Step-by-step explanation:
first multiply the two negatives so it becomes (2-|-1/4+2 x 3/5|) /(-6)
then that becomes (2- | -1/4 + 6/5 | ) /(-6)
the sum of those two fractions become (2- | 19/20|) /(-6)
(2-19/20)/(-6)
2 - 19/20 /-6
21/20 /-6
multiple both by a negative so that become -21/20 /6
multiply the 6 with the recirocal so it becomes 1/6
-21/20 and 1/6 turn into -7/20 and 1/2 by canceling out with the greatest common factor of 3
now multiply both and u get -7/40
Pls help with this assignment 20p + brainlyest
Answer: Answering all under step by step
Step-by-step explanation:
for a point just put a dot
for a line just draw a line with arrows pointing on both sides
for a line segment draw a line with two dots on the ends
for a ray draw a line with one side with an arrow and the other a dot
the difference between line and line segment is that a line is extended in both directions infinitely but a line segment has two endpoints
the difference between line segment and a ray is that a line segment has two endpoints and stops at the points while a ray goes on forever in one direction
for parallel lines just draw two lines on top of each other both going on forever
perpendicular line cross each other only once and never again. u can just make them look like a cross
draw a triangle on the top left dot. then draw a box around any two points and the line in between. and then draw a circle around either of the corners.
help me please :")))))))))))
Answer:
first one
Step-by-step explanation:
The correct option is B i.e., triangle RST ~ triangle UVW;5/6
Given,
In the Polygons,
In DRST, RS = 10 , RT = 15 and mDR = 32
In DUVW, UV = 12 , UW = 18 and mDU = 32.
To check the similarity and give the similarity ratio.
Now, According to the question:
Analysis the above given:
Here, RS/ UV = RT/UW = 5/6
AND, ∠R = ∠V = 32°
and, there is two sides are equal and one angle is equal.
Then, By postulate SAS two polygons are congruent.
Hence, The correct option is B i.e., triangle RST ~ triangle UVW;5/6
Learn more about Triangles at:
https://brainly.com/question/2773823
#SPJ1
yo can I get some help im being timed
Answer:
d the last one
Step-by-step explanation:
Answer:
The answer is D
pls help fraction math 100 points
ASAP its pretty easy
Answer: post image of the math Sheri walked 15/16 of a mile to school and then 7/8 of a mile to the library. Estimate how far Sheri walked in total.
Step-by-step explanation:
1.8125 miles
just added 15/16 + 7/8
1.8125 miles
15/16 + 7/8
100 points pretty easy math
(If your expert or above you don't need to explain)
I think it is 2 miles
What is the value of (−145) − 82 − (−17)?\
GIVING BRAINLIEST!!!!!!!
Which quantity is greater than |–2.4|?
A. –6.3
B. –3
C. |–3.75|
D. |–1|
Answer:
C. |-3.75|
Step-by-step explanation:
You want to compare the given numbers to |-2.4|.
Absolute valueThe absolute value of a number is its distance from zero on the number line. It is always positive.
ComparisonHere, we're comparing the answer choices to +2.4, and we want to find the one that is greater.
-6.3 < 2.4-3 < 2.4|-3.75| = 3.75 > 2.4 . . . . . this is the correct choice|-1| = 1 < 2.4The quantity |-3.75| is greater than |-2.4|.
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The table shows a proportional relationship.
x 12 8 24
y 3 2 6
Describe what the graph of the proportional relationship would look like.
A: A line passes through the point (0, 0) and continues through the point (3, 12).
B: A line passes through the point (0, 0) and continues through the point (2, 8).
C: A line passes through the point (0, 0) and continues through the point (6, 24).
D: A line passes through the point (0, 0) and continues through the point (12, 3).
Answer:
D
Step-by-step explanation:
D is the only one that has the correct placement for x,y
D is thy correct answer because thy person who made this answer is smart
3.34x10 of a fourth? right??
33,400
Which inequality is true?
A. |5| < |–3|
B. |2| < |–4|
C. |–5| < |–3|
D. |–4| < |–2|
Answer:B
Step-by-step explanation:
yes
Answer: D and C are true
f - 8/9 = 5/9
What is f? f=?
5/9 + 8/9 = 13/9 = 1 4/9
Answer: 13/9 or 1 and 4/9
Answer:
f = 13/9 or 1.444...
Step-by-step explanation:
f - 8/9 = 5/9
Add 8/9 to both sides,
8/9 + f - 8/9 = 5/9 + 8/9
This cancels out the - 8/9.
f = 13/9 or 1.444...
4.2x10 of a fifth=420,000 you welcome
help me please I gave up
Answer:
i think it's 47
Step-by-step explanation:
difference between AD and WZ is 44
if DC is 3
then YZ is 47
because 3+44=47
Which quantity is greater than |–2.4|?
A.–6.3
B.–3
C.|–3.75|
D.|–1|
Answer:
The answer is D
the answer is D because it goes -1 then -2 then -3 and so on
In ΔJKL, m∠J = 78° and m∠L = 90°. Determine the measure of the exterior angle to ∠K.
168°
102°
57°
12°
Answer:
168°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle, which is k, in this case.
m∠J = 78 and m∠L = 90° so the measure of exterior angle to ∠K:
78 + 90 = 168°
HELP plsss ASAP will give BRAINLIEST
Answer:
it 4
Step-by-step explanation:
4, 8, 12, 16, 20, 24.
and there's 6 lines and 4x6 equals 24
Answer:
16
Step-by-step explanation:
4*6=24
4*4=16
PLS HELP ME OUT URGENT!!!!!!
Answer:
the answer is c (-1)
Step-by-step explanation:
slope is y^2-y^1 over x^2-x^1. so for x, -1-(-5) equals 4. so x is -1
Which inequalities are correct? Select all that apply.
Answer:
b
c
f
Step-by-step explanation:
-2 is greater than -2 1/2 not less than
1 is greater than -.5 but -1 can't be greater than -.5
-3.4 is greater than -4 but 3.4 can't be less than -4
How does the Distributive Property help when combining like terms to solve the equation 4x + 6x = 30?
Answer: it helps by making the question 10 times easier
Step-by-step explanation: because 4 and 6 both have the variable X they are like terms and can be added to each other unlike 30 it doesn’t have a variable meaning 4x or 6x cannot combine with 30 because it doesn’t have the variable X. Moving on 4x+6x is 10x as you add the number but X stays the same and so 10x=30 so you divided both sides by 10 because inverse operations and you get x=3 then after you import that into the question 4(3)+6(3)=30 which is the same as 12+18=30 which is true 30=30
Solve the equation −12 + x = −16 for x.
Answer:
-4
Step-by-step explanation:
First, add 12 on both sides and then you must end up with - 4