Answer: 4 flour + 3 sugar = 44lbs
6 flour = 48lbs
We can divide 48lbs by 6 bags of flour to get 8lbs per bag of flour.
4 bags of flour multiplied by 8lbs is 32lbs. 44lbs - 32lbs = 12lbs
12lbs divided by 3 bags of sugar = 4lbs per bag of sugar.
The ratio is flour to sugar: 8:4 or 2:1
We create two equations based on the information given: 4F+3S=44 and 6F=48. By solving these equations, we find the weight of a bag of flour is 8 pounds and the weight of a bag of sugar is 4 pounds. Thus, the ratio of weight is 2:1.
Explanation:
We can solve this problem by setting up two equations based on the information given and then solve the equations to find the weights of the bags of flour and sugar. Let's denote the weight of a bag of flour as F and the weight of a bag of sugar as S.
According to the problem, 4 bags of flour plus 3 bags of sugar weigh 44 pounds. So we can write the equation 4F + 3S = 44.The problem also tells us that 6 bags of flour weigh 48 pounds. So we have another equation 6F = 48.From the second equation, we can find that F = 48 / 6 = 8 pounds. Substitute F = 8 into the first equation, we find S = 4 pounds.
Therefore, the ratio of the weight of a bag of flour to a bag of sugar is 8:4 or simplified to 2:1 (option a).
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HELP ME PLSSS!!!!! I'LL GIVE BRAINLIEST!!!
What is the best approximation of the solution to the system? (Round to the nearest whole number).
Explain what is similar or different about the two lines. Use the key vocabulary words: Slope and Y-Intercept.
For the first question you best estimate would be : (1, 7) because these points are the closest co-ordinates to the real answer
Second question answer will be: The 2 lines have different slope, one is negative and another is positive. The y-intercepts for both equation are different but the x co-ordinate in both intercepts is 0
Answer: fvkglf
Step-by-step explanation: wdkogtrjfigtrkfijpwoeeefkjdmsjlfmhuygbnm,kjliuhyjbnmbgtfrghjklhyughbjnkuyliuynijedju ypour welcomebhf
alma is finding the measures of the angles in a triangle that have the ratio 1:3:5. circle her mistake and correct it
x + 3x +5x = 180
8x = 180
x = 22.5
Answer:
error in summing terms in x
Step-by-step explanation:
x + 3x + 5x = 180 ( collect like terms on left )
9x = 180 ← ( 9x not 8x )
divide both sides by 9
x = 20
Alma made a calculation error in solving for the angles with a ratio of 1:3:5. The correct values for x, which is the smallest angle, should be 20 degrees with the middle and largest angles being 60 degrees and 100 degrees respectively.
Alma is attempting to solve for the measures of angles in a triangle with a ratio of 1:3:5. However, there seems to be a mistake in her calculation. To correct it, we start with her equation x + 3x + 5x = 180, which represents the fact that the sum of the angles in a triangle is always 180 degrees (Theorem 20).
Combining like terms we do have 9x = 180. Solving for x gives us x = 20.
Therefore, the measure of the smallest angle is 20 degrees, the middle angle is 60 degrees, and the largest angle is 100 degrees.
how do you do these problems?? Help please!!!!
Answer:
290 ans 4/5 miles
Step-by-step explanation:
174/24=7.25
7.25X40=290
Next problem
10/2=5
4/5
What are the factors of x2 – 100?
(x – 50)(x + 50)
(x – 10)(x + 10)
(x – 25)(x + 4)
(x – 5)(x + 20)
Answer:
(x-10)(x+10)
Step-by-step explanation:
Here, the given expression,
[tex]x^2-100[/tex]
[tex]=(x)^2-(10)^2[/tex]
By using the identity [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]=(x+10)(x-10)[/tex]
[tex]=(x-10)(x+10)[/tex] ( By the commutative property )
Since, further factorization is not possible,
Hence, the factors of [tex]x^2-100[/tex] are,
[tex](x-10)(x+10)[/tex]
Second option is correct.
For the first 30 km, the bicyclist rode with a speed of v km/hour. For the remaining 17 km he rode with a speed which was 2 km/hour greater than his original speed. How much time did the bicyclist spend on the entire trip? Let t be the time (in hours), and find t if: v=18
Answer:
t= 2.52 hours
Step-by-step explanation:
It is given that for first 30 km, the speed of bicyclist is v km/hour
time taken to cover first 30 km is given by
[tex]t_{1} =\frac{30}{v}[/tex] ( [tex]time=\frac{distance}{speed}[/tex])
for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed
so the speed to cover next 17 km = v+2
time taken to cover next 17 km is given by
[tex]t_{2} =\frac{17}{v+2}[/tex]
now total time t spent by the bicyclist to cover entire trip is given by
[tex]t=t_{1} +t_{2}[/tex]
[tex]t=\frac{30}{v} +\frac{17}{v+2}[/tex]
now if v=18 , we have
[tex]t=\frac{30}{18} +\frac{17}{20}[/tex]
now to add fractions we make the denominator same
Hence we will find the LCM of 18 and 20
LCM of 18 and 20 = 180
now we need to make both the denominator equal to 180
[tex]t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}[/tex][tex]t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}[/tex]
[tex]t=\frac{453}{180} =2.52[/tex] hours (approx)
Answer:
2 hours 31 minutes
Step-by-step explanation:
A dilation can be used to build a geometric pattern. The graph shows the first three terms of a pattern by applying the same dilation rule to the previous square, starting with the smallest square.
What will be the coordinates of the upper-right vertex of the next largest (fourth) square in the pattern?
(5, 5)
(7, 7)
(8, 8)
(16, 16)
Answer:
the right answer is (8, 8)
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
got it right on edg
write the equation of the line in slope- intercept form:
9y-27x=18
The slope-intercept form:
[tex]y=mx+b[/tex]
[tex]9y-27x=18[/tex] add 27x to both sides
[tex]9y=27x+18[/tex] divide both sides by 9
[tex]\boxed{y=3x+2}[/tex]
3x+5=17 what's the answer
3x+14==11
3x + 5 = 17 subtract 5 from both sides
3x = 12 divide both sides by 3
x = 4
3x + 14 = 11 subtract 14 from both sides
3x = -3 divide both sides by 3
x = -1
Answer:
4 and -1
Step-by-step explanation:3x+5=17, x=4 because 17-5=12 and 12 divided by 3 is 4.
3x=14=11 we need to subtract 14 from both sides which will give us an end result of 3x=-3, so x =-1
A student took a system of equations, multiplied the first equation 2 by 3 and the second equation by , then added the results together. Based on this, she concluded that there were no solutions. Which system of equations could she have started with?
A. -2x+4y=4
-3x+6y=6
B. 3x+y=12
-3x+6y=6
C.3x+6y=9
-2x-4y=4
D.2x-4y=6
-3x+6y=9
Answer:
C)3x+6y=9
-2x-4y=4
Step-by-step explanation:
A student took a system of equations, multiplied the first equation 2 by 3 and the second equation by , then added the results together.
Lets check with each option
We multiply the first equation by 2 and second equation by 3 and add it.
When both x and y terms gets cancelled then we can say there were no solutions.
A) -2x+4y=4
-3x+6y=6
Equation becomes
-4x + 8y = 8
-9x + 18y = 18
------------------------
-13x + 26y = 26
B) 3x+y=12
-3x+6y=6
Multiply first equation by 2 and second equation by 3
6x + 2y = 24
-9x + 18x = 18
------------------------
-3x + 20y = 42
C)3x+6y=9
-2x-4y=4
Multiply first equation by 2 and second equation by 3
6x + 12y = 18
-6x - 12y = 12
---------------------------
0 = 30
Both x and y terms becomes 0. Hence there is no solution for these system of equations.
Answer:
.3x+6y=9
-2x-4y=4
Step-by-step explanation:
college bridje
work out 5/7 of 100
Give your answer correct to the nearest whole number
Answer:
71
Step-by-step explanation:
One way in which to work this out is to multiply 100 by 5, obtaining 500, and then dividing this result by 7. The nearest whole number is 497, or 71.
Write 209 is v divided by 255 as an equation
Answer:
209 = v / 255
Step-by-step explanation:
209 is v divided by 255
The word is means equals
209 = v / 255
Solve for x using cross multiplication
Answer:
x = 4
Step-by-step explanation:
cross- multiplying gives
5 × 3x = 4(2x + 7) ← distribute
15x = 8x + 28 ( subtract 8x from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Cross multiplication is used to solve equations with fractions or ratios. Multiply across the equals sign ('cross multiply'), and then isolate 'x' by adjusting the equation. Replace variable with actual figures to get the exact value.
Explanation:Cross multiplication is a mathematical technique used to solve problems involving fractions or ratios. Let's do an example. Suppose we have a ratio equation like this: a/b = c/ x (x is the variable we need to find).
The first step is to cross multiply. So, you multiply 'a' and 'x', and 'b' and 'c'. This gives us: ax = bc.
Next, we isolate 'x' by dividing both sides of the equation by 'a'. This gives us: x = bc/a.
Now, put the actual numbers into the equation to get the value of 'x'.
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I need help can someone please help me
Answer:
its 33 cm
Step-by-step explanation:
What is the solution of the following system?
{5x + 5y = 15
{6x - 4y = -12
Identify the slope of the line shown in the graph below: slope = -1
Slope = 0
Slope = undefined
Slope = 1
Answer:
Vertical lines have an undefined slope. Horizontal lines have a 0 slope.
So, undefined.
Step-by-step explanation:
Answer:
undefined
Step-by-step explanation:
this slope is undefined because it goes straight down and is vertical. the x and y-coordinates never change and there is no run when doing rise over run.]
pls mark brainliest
Can someone show me an example of long division?
Answer:
When you have large numbers to divide,
draw a tableau for long division on the side.
Write the steps that will be your guide,
D, M, S, B and R – Abide by to long divide!
Step-by-step explanation:
Answer:
Step-by-step explanation:
simplify (4^-2)^5 ???????
Answer:
Its 1/4^10
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.
What is power?Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression (4⁻²)⁵ can be simplified as shown below.
(4⁻²)⁵
= (1/4²)⁵
= (1/16)⁵
= 1⁵/16⁵
= 1 / 1048576
It can also be rewritten in the form of exponents as,
(4⁻²)⁵
= 4⁽⁻²ˣ⁵⁾
= 4⁻¹⁰
Hence, the given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.
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Solve these for points
I5 - 9I =
I5I - I9I =
3xy^3 + 5- x- 2xy^3= xy^3 +11
Solve please
Answer:
Step-by-step explanation: 3XY 3+5-X-2XY3=XY3+11 USE THE COMMUTATIVE PROPERTY TO REODER THE TERMS...3Y3+5-X-2XY3=XY3+11 COLLECT LIKE TERMS Y3+5-X-Y3X+11..Cancel equal terms on both sides of the equation 5-x=11 move constant to the right side and change its sign -x=11-5 subtract the numbers -x=6 final answer is X=-6
Find the solutions of the form x=a,y=0and x=0 ,y=b for the following equations: 2x+5y=10 and 2x+3y=6. is there any common solution?
Answer:
see explanation
Step-by-step explanation:
To find the intercepts, that is where the graph of the lines cross the x and y axes.
• let x = 0, in the equation for y-intercept
• let y = 0, in the equation for x-intercept
Consider each equation separately
2x + 5y = 10
x = 0 : 5y = 10 ⇒ y = 2 ⇒ (0, 2) ← y -intercept
y = 0 : 2x = 10 ⇒ x = 5 ⇒ (5, 0) ← x- intercept
2x + 3y = 6
x = 0 : 3y = 6 ⇒ y = 2 ⇒ (0, 2) ← y- intercept
y = 0 : 2x = 6 ⇒ x = 3 ⇒ (3, 0 ) ← x- intercept
The common solution is the y-intercept in both equations (0, 2 )
a can of vegetable soup cost $2.88 for 12 oz a can of chicken soup cost $2.25 for 9 oz which kind of soup cost less
Answer:
Vegetable soup costs less because it's only $0.24/oz while chicken soup costs $0.25/oz.
Step-by-step explanation:
Vegetable = $2.88/12 = $0.24/per 1 oz
Chicken = $2.25/9 = $0.25/per 1 oz
HELP ASAP! WILL MARK AS BRAINLIEST (if you get answers correct)
1. (-6,-1), (-2,-3)
a. (-4,-2)
b. (2,-5)
c. (-2,1)
d. (-3.5,-2.5)
2. (-4,-5), (2,3)
a. (-4.5, 2.5)
b. (-3,-4)
c. (8,11)
d. (-1,-1)
3. (-3,-1), (3,5)
a. (-2,4)
b. (0,2)
c. (-3,-3)
d. (9,11)
4. What is the midpoint between (-3,-2) and (4,7)?
a. (2.5, 0.5)
b. (3.5, 4.5)
c. (-7, -9)
d. (0.5, 2.5)
Answer:
Step-by-step explanation:
If you want the mid point for these questions then for the 1st
1. add -6 and -2 which is -8 then divide by 2 which is -4, then add -1 and -3 which is -4 and then divide by 2 which is -2. so the mid point is (-4,-2)
2. its the same as above first add -4 and 2 which is -2 then divide by 2 which is -1, then add -5 and 3 which is -2 and divide by 2 which is -1. the point is (-1,-1)
3. -3+3=0 dived by 2 which is 0, -1+5=4 divide by 2 which is 2
point is (0,2)
4. -3+4=1 divide by 2 which is 1/2 =0.5, -2+7=5 then divide by 2 which is 5/2=2.5. point is (0.5,2.5)
please help! Above☝️
Problem 7a
Answer: [tex]18 \le y < 300[/tex]
where y is the amount of tax paid in dollars
So y is between 18 and 300; including 18 but excluding 300.
-----------------------
Explanation:
x = annual income (in dollars)
y = amount of tax you have to pay (in dollars)
If x is between 600 and 10,000 then y is 3% of that, so y = 0.03*x is the rule for the first tax bracket.
If someone's income is x = 600 dollars, then they have to pay y = 0.03*600 = 18 dollars. This is the "floor" or lowest amount of tax that must be paid. We can't go any lower.
On the other side of the spectrum for this bracket, the highest income possible is x = 10,000 so 3% of this is y = 0.03*x = 0.03*10000 = 300 dollars. This is the "ceiling" or highest amount of tax paid for this bracket.
======================================
Problem 7b
Answer: Annual income is over $10,000
Possible annual incomes can be expressed by this compound inequality [tex]12000 \le x \le 19000 [/tex] meaning the incomes could be between $12,000 and $19,000 (inclusive of both endpoints).
-----------------------
Explanation:
From part A above, we found that the highest paid tax in the first bracket was $300 (well $299.99 because the exact amount 300 wasn't included). The lowest amount 400 is well above the ceiling mentioned, so we must be in the second tax bracket.
Here's how we compute the second tax bracket: we take 3% of 10,000 to get $300 and then we add on 5% of the remaining income over $10,000. The equation that represents this is y = 0.05*x + 300 where x is the extra amount of money over $10,000. For example, if I said x = 20, then we are 20 dollars over $10,000
Plug in y = 400 and let's solve for x to get
y = 0.05*x + 300
400 = 0.05*x + 300
0.05x = 100
x = 100/0.05
x = 2000
Meaning that a person making an extra $2000 on top of the $10,000 already taxed earns a total of $12,000 annually
Repeat for y = 50
y = 0.05*x + 300
750 = 0.05*x + 300
0.05x = 450
x = 450/0.05
x = 9000
So the annual income is 10,000+x = 10,000+9,000 = 19,000
======================================
Problem 7c
Answer: Anyone earning over $20,000 will pay less in tax at the 4% tax rate.
-----------------------
Explanation:
y = original tax rate for the second bracket (3% of first 10,000 plus 5% extra)
y = 5% of (extra amount over $10,000) + (3% of 10,000)
y = 5% of (x - 10000) + (3% of 10,000)
y = 0.05*(x-10000) + 300
z = 4% of annual income
z = 0.04*x
We want to see what x values will make z smaller than y
z < y
0.04x < 0.05*(x-10000) + 300
0.04x < 0.05*x-0.05*10000 + 300
0.04x < 0.05*x-500 + 300
0.04x < 0.05*x-200
0.04x-0.05*x < -200
-0.01*x < -200
x > -200/(-0.01) ......... note the inequality sign flips
x > 20000
If you earn more than $20,000 then the original rule of "3% plus the first $10,000 plus 5% of any extra income" will charge more tax. So for higher earners, they will want the flat tax rate of 4%
Berto invested in a precious mineral. The value of the mineral tend to increase by about 11% per year. He invest $40,000 in 2015 How much more will he invested be worth in 2020
the difference from 40000 to the future value in 2020, namely 5 years later is simply the yield or interest amount.
[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$40000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &5 \end{cases} \\\\\\ I=(40000)(0.11)(5)\implies I=22000[/tex]
Dan's father is an orange farmer and he brought 32 orange it to class today if each child got four oranges and five children did not want oranges how many children are in the class?
Answer: There are 13 children.
Step-by-step explanation:
1. Let's call x the number of children in the classroom. We know that each child received 4 oranges, except 5 of them.
2. There were 32 oranges in total.
3. We can write this problem as an equation that represents the number of oranges distributed, as follows:
[tex]4(x-5)=32[/tex]
4. Now we solve the equation to find the value of x:
[tex]x-5=\frac{32}{4}[/tex]
[tex]x-5=8[/tex]
[tex]x=13[/tex]
5. There are 13 children in the classroom. 8 of them received oranges and the rest did not.
Georgia and Courtney share sweet in the ratio 4:7. Courtney gets 24 sweets than Georgia. How many sweets do they both get?
Answer:
Georgia would get 32 sweets and Courtney would get 56 sweets.
Step-by-step explanation:
This question asks you to find equivalent fractions or ratio. They give us the starting ratio of 4:7, which represents that for every four sweets that Georgia receives, Courtney receives 7. They also tell us that Courtney gets 24 more sweets than Georgia. If we let 'x' equal the number of sweets that Georgia receives and 'x+24' equal the number of sweets that Courtney receives, then we can set up a proportion where 4/7 = x/(x+24). We then can use cross-multiplication and division to solve for the value of 'x'. In this case 4(x +24) = 7x. We use distribution to get 4x + 96 = 7x, then inverse operations (subtracting 4x from both sides) to get 96 = 3x, then inverse operations to divide 3 by both sides to get x=32. 32 would be the number of sweets Georgia receives and 32+24=56 would be the number of sweets that Courtney receives.
Georgia and Courtney share sweets in the ratio 4:7, meaning for every 4 sweets Georgia gets, Courtney has 7. Given that Courtney gets 24 more sweets than Georgia, together they get a total of 88 sweets.
Explanation:This question is about the concept of ratio in mathematics. Georgia and Courtney share sweets in the ratio 4:7. This can also mean that for every 4 sweets Georgia gets, Courtney gets 7. But, the question mentions that Courtney gets 24 more sweets than Georgia.
Let's assume that Georgia gets 4x sweets and Courtney gets 7x sweets. So, 7x - 4x = 24, because Courtney gets 24 more sweets. Hence 3x equals to 24. Therefore, x = 24/3 = 8.
Now to find how many sweets each gets, we multiply their ratio parts by this value. For Georgia, we get: 4 * 8 = 32 sweets, and Courtney gets, 7 * 8 = 56 sweets. Both together get 32 + 56 = 88 sweets.
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WILL MARK BRAINLIEST! Please help me. :(
Answer:
A
Step-by-step explanation:
Distribute the (-)
6x^3y^3+x^3y^3 + 5x^2y^2 - x^2y^2 - x^2y+x^2y +xy^2 +3x+3x +2-4
Cancel out bold and add:
7x^3y^3 + 4x^2y^2 +xy^2+6x-2
help please than you
If 40% of a number is 80 what is 25% of that number?
Answer:
25% of 200 is 50
Step-by-step explanation
40% of a number is 80
.40 * n = 80
Divide each side by .4
.40 n/.4 = 80/.4
n = 200
The number is 200
Now lets find 25 percent of that number
.25 * 200 = 50
peter had 400 stamps. 5/8 of then are U.S. stamps and the reat ate Canadian stamps. he gave 1/5 of the U.S. stamps to his friend. how many stamps did he have left?
Answer:
350 Stamps left
Step-by-step explanation:
First do 5/8*400= 250
Then take 1/5 of it 1/5*250
You end up with 50 so do 250-50= 200 and add the 150 Canadian stamps to get a total of 350 stamps.
You can use the fact that value of a fraction of a number can be calculated by multiplying that fraction with that number.
Peter is left with 350 stamps.
How to calculate value of fraction of a number?The value of a fraction of a number can be calculated by multiplying that fraction with that number.
For example, 2/3 of 30 is calculated as: [tex]\dfrac{2}{3} \times 30 = 2 \times 10 = 20[/tex]
How to calculate the number of stamps peter is left with?Count of total stamps = Count of US stamps + Count of Canadian stamps.
Number of US stamps = 5/8 of total stamps.
Total stamps = 400.
Thus,
[tex]\text{Number of US stamps} = \dfrac{5}{8} \times 400 = 5 \times 50 = 250[/tex]
Thus, we have:
400 = 250 + Count of Canadian stamps.
400 - 250 = Count of Canadian stamps.
Count of Canadian stamps = 150
Since Peter gave 1/5 of US stamps to his friend, thus:
[tex]\text{Count of US stamps Peter gave} = \dfrac{1}{5} \times 250 = 50[/tex]
Thus, out of 400 stamps, Peter gave 50 stamps.
Thus, peter is left with 400 - 50 = 350 stamps.
Thus,
Peter is left with 350 stamps.
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