For every 1 cup of blue paint, [tex]\frac{10}{4}[/tex] cups of red paint are needed
For every 1 cup of red paint, [tex]\frac{4}{10}[/tex] cup of blue paint is needed
For every 4 cups of red paint, [tex]\frac{16}{10}[/tex] cups of blue paint are needed
Solution:
Given that, there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint
Therefore, ratio is
[tex]Red : blue = 3\frac{1}{3} : 1\frac{1}{3}\\\\Red : blue = \frac{10}{3} : \frac{4}{3}[/tex]
For every 1 cup of blue paint, ___ cups of red paint are neededLet "x" be the cups of red paint needed
Then we get,
[tex]\frac{10}{3} : \frac{4}{3}\\\\x : 1[/tex]
This forms a proportion
[tex]1 \times \frac{10}{3} = \frac{4}{3} \times x\\\\x = \frac{10}{4}[/tex]
Therefore, 10/4 cups of red are needed for 1 cup of blue
For every 1 cup of red paint, ___ cup of blue paint is neededLet "x" be the cups of blue paint needed
Then, we get
[tex]\frac{10}{3} : \frac{4}{3}\\\\1 : x[/tex]
This forms a proportion
[tex]\frac{10}{3} \times x = \frac{4}{3} \times 1\\\\x = \frac{4}{10}[/tex]
Thus, 4/10 cups of blue are needed for 1 cup of red paint
For every 4 cups of red paint,___ cups of blue paint are neededLet "x" be the cups of blue paint needed
Then, we get
[tex]\frac{10}{3} : \frac{4}{3}\\\\4 : x[/tex]
This forms a proportion
[tex]\frac{10}{3} \times x = \frac{4}{3} \times 4\\\\x = \frac{16}{10}[/tex]
Thus 16/10 cups of blue paint are needed for every 4 cups of red paint
The ratio of red paint to blue paint is 5:2. Therefore, for every 1 cup of blue paint, 2.5 cups of red paint are needed, for every 1 cup of red paint, 0.4 cup of blue paint is needed and for every 4 cups of red paint, 1.6 cups of blue paint are needed.
Explanation:The initial statement tells us that the ratio of red paint to blue paint needed is 3 1/3:1 1/3. Converting these mixed numbers into improper fractions, that ratio transforms to 10/3:4/3, which simplifies further to 5:2.
So, if you reduce it down:
For every 1 cup of blue paint, 5/2 or 2.5 cups of red paint are needed.For every 1 cup of red paint, 2/5 or 0.4 cup of blue paint is needed.For every 4 cups of red paint, 4*(2/5) or 1.6 cups of blue paint are needed.Learn more about Ratios here:https://brainly.com/question/32531170
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What is 5 divided by 8 ?
Answer:
0.625
Step-by-step explanation:
0.625 * 8 = 5
Answer: 0.625
Step-by-step explanation: When doing 5 divided by 8, you get 0.625
How much do you need to subtract from 35/6 to make 5
The required number would be 5/6 which subtracts from 35/6 to make 5.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
We have to determine the number which subtracts from 35/6 to make 5.
Let's assume that the required number would be x
As per the given question, the required solution would be as:
⇒ 35/6 - x = 5
Rearrange the terms in the above equation, and solve for x
⇒ x = 35/6 - 5
Take the LCM in the terms
⇒ x = (35 - 30)/6
Apply the subtraction operation in the terms
⇒ x = 5/6
Therefore, the required number would be 5/6.
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Please give me answer! (Photo attached)
Answer:
B 3*-3* -4/9
Step-by-step explanation:
A Ferris wheel can accommodate 75 people in 25 minutes. How many people could ride the Ferris wheel in 5 hours? What was that rate per hour?
Answer:
1 hour rate = 180 - 5 hour rate = 900
Step-by-step explanation:
To make the whole equation easy divide the number of people by the time.
75 / 25 = 3
Now the number of people can be adjusted to any amount of time.
For the hour rate multiply the number of people per minute by 60.
3 x 60 = 180
For the five hour rate use the same exact equation but multiply the 60 by 5 first.
3 ( 60 x 5 ) = 900
Hope this helped.
MULTIPLYING POLYNOMIALS
1.(n-4)(n-6)
2.(a+5)(a-6)
3.(4b+6)(b-4)
please help i cant figure these out thank you
[tex](n-4)(n-6) = n^2-10n+24\\\\(a+5)(a-6) = a^2 -a-30\\\\(4b + 6)(b-4) = 4b^2 -10b-24[/tex]
Solution:
Multiplying polynomials:
Multiplying polynomials is same like multiplying numbers
First, multiply the first term in the first parentheses by all the terms in the second parentheses
Now we multiply the second term in the first parentheses by all terms in the second parentheses and add them to the previous terms
[tex]1)\ (n-4)(n-6)[/tex]
[tex](n-4) \times (n-6) = n^2 -6n -4n +24\\\\Simplify\\\\(n-4) \times (n-6) = n^2 -10n + 24[/tex]
Now let us multiply the second given option
[tex]2)\ (a+5)(a-6)[/tex]
Multiply them together
[tex](a+5)(a-6) = a^2 -6a + 5a - 30\\\\Simplify\ by\ combining\ the\ like\ terms\\\\(a+5)(a-6) = a^2 -a -30[/tex]
Now let us multiply the third given polynomial
[tex]3)\ (4b+6)(b-4)[/tex]
Multiply them together
[tex](4b+6)(b-4) = 4b^2 -16b + 6b - 24\\\\Simplify\ by\ combining\ the\ like\ terms\\\\(4b+6)(b-4) = 4b^2 -10b -24[/tex]
Thus the given polynomials are multiplied
The line that has a slope of 2 and passes through (1, -4)
Answer:
y=2x-6
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=2(x-1)
y+4=2x-2
y=2x-2-4
y=2x-6
The perimeter of the sign is 28 meters. If the width of the sign is 4meters, what is the length in meters?
Answer:10
Step-by-step explanation:
28-4-4=20
20÷2=10
10+10+4+4=28
Write the percent of free space on the computer as a decimal.
Volume Capacity Free Space % Free Space
(C:) 200 GB 150 GB 75%
Answer:
0.75
Step-by-step explanation:
Final answer:
To convert 75% to a decimal, divide 75 by 100 to get 0.75. This conversion is necessary to express the percent of free space on a computer in decimal form.
Explanation:
To convert the percent of free space on the computer to a decimal, you can follow these steps:
Take the percent value, which in this case is 75%.Write this percentage as a fraction with a denominator of 100, so 75% becomes ⅔.Divide the numerator by the denominator: 75 ÷ 100 = 0.75.The decimal equivalent of 75% is 0.75. This means that 75% of the computer's storage capacity is free space.
The side length, sofa cube is 4x^2+3. If V=s^3
what is the volume of the cube?
Answer:
64[tex]x^{6}[/tex] + 144[tex]x^{4}[/tex] + 108x² + 27
Step-by-step explanation:
Using the formula for volume, V = s³, then
V = (4x² + 3)³
This may be expanded as
(4x² + 3)(4x² + 3)(4x² + 3) ← expand the first 2 factors using FOIL
= (16[tex]x^{4}[/tex] + 24x² + 9)(4x² + 3) ← distribute by 4x² and 3
= 64[tex]x^{6}[/tex] +96[tex]x^{4}[/tex] + 36x² + 48[tex]x^{4}[/tex] + 72x² + 27 ← collect like terms
= 64[tex]x^{6}[/tex] + 144[tex]x^{4}[/tex] + 108x² + 27
Answer:
[tex]64x^{6}[/tex] + [tex]144x^{4}[/tex] + [tex]108x^{2}[/tex] + 27
Step-by-step explanation:
Do you guys now how to estimate 69.58.
Answer:
The answer is 70 if it's to whole number but if it's just rounding to the tenth spot it's 69.6
Step-by-step explanation:
It's 70 because if the tenth spot(the number after the decimal) is 5 or higher you add one on the one spot so that's why it's 70
Estimates are typically whole numbers.
To estimate an answer, you would take whatever numbers you are trying to add/subtract/multiply/divide ect. and round them to the nearest whole number then complete said action with them.
Example: 3.99 + 33.85 + 31.74
3.99 is closest to 4
33.85 is closest to 34
and 31.74 is closest to 32
Then, we would add up all the numbers: 4 + 34 + 32 = 70
70 is very close to 69.58, therefore 70 is a good estimate.
Solve the linear inequality.
5x-3(x+1)<7
The solution to the inequality 5x-3(x+1)<7 is x<5.
Step-by-step explanation:
Given inequality is;
5x-3(x+1)<7
Solving the inequality
[tex]5x-3x-3<7[/tex]
Adding 3 on both sides both sides of inequality
[tex]5x-3x-3+3<7+3\\2x<10[/tex]
Dividing both sides of inequality by 2
[tex]\frac{2x}{2}<\frac{10}{2}\\\\x<5[/tex]
The solution to the inequality 5x-3(x+1)<7 is x<5.
Keywords: inequality, division
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Is this equation an infinite solution, no solution, or one solution?? 36-7x=-7(x-5) is
Answer:
no solution
Step-by-step explanation:
36-7x=-7(x-5)
first what we have to do is do the multiplications
36 - 7x = -7x + 35
we add 7x from both sides
36 - 7x + 7x = - 7x + 7x + 35
36 = 35
we subtract 36 from both sides
36 - 36 = 35 - 36
0 = -1
This means that the system has no solution
if we look at the equation at the beginning we can realize since we have the same term on both sides "-7x" and a term without x on each side, this means that we can never find a value of x that meets the conditions
How many hours did you sleep each day this month
10 hours, none more, none less
The formula below is used to convert degrees Fahrenheit (F) into degrees Celsius (C). A cookbook asks us
to set the oven temperature to 350° Fahrenheit. Convert this into degrees Celsius, correct to the nearest
degree.
c= 5(F-32)
———-
9
Answer:
177° C
Step-by-step explanation:
substitute F = 350 into the formula
C = [tex]\frac{5(350-32)}{9}[/tex] = [tex]\frac{5(318)}{9}[/tex] = [tex]\frac{1590}{9}[/tex] ≈ 177 ( to the nearest degree )
Janelle ate 82% of the pie. What fraction of the pie remained
A distribution data has a maximum value of 96, a median value of 56.5, and a minimum of 23. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.
Answer:
The standard deviation estimate by the Range Rule of Thumb = 18.3
Step-by-step explanation:
i) maximum = 96
ii) minimum = 23
iii) standard deviation [tex]\approx[/tex] [tex]\frac{(maximum\hspace{0.1cm} - \hspace{0.1cm} minimum)}{4} = \frac{96 - 23}{4} = \frac{73}{4} = 18.25[/tex]
The standard deviation estimate by the Range Rule of Thumb = 18.3
which of the following phrases would represent this expression x/3
Answer:
x is divided by 3
Step-by-step explanation:
Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
{x | x ≤ 2}
{x | -6 ≤ x ≤ 2}
{all reals}
Answer:
all work is pictured and shown
answer is b
Answer:
{x | x ≤ 2}
Step-by-step explanation:
3x squared minus 7x minus 34 is less than or equal to -10x + 2
Answer:
x =-2 or 0
Step-by-step explanation:
Factoring 7x2+3x-34
The first term is, 7x2 its coefficient is 7 .
The middle term is, +3x its coefficient is 3 .
The last term, "the constant", is -34
Step-1 : Multiply the coefficient of the first term by the constant 7 • -34 = -238
Step-2 : Find two factors of -238 whose sum equals the coefficient of the middle term, which is 3 .
-238 + 1 = -237
-119 + 2 = -117
-34 + 7 = -27
-17 + 14 = -3
-14 + 17 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 17
7x2 - 14x + 17x - 34
Step-4 : Add up the first 2 terms, pulling out like factors :
7x • (x-2)
Add up the last 2 terms, pulling out common factors :
17 • (x-2)
Step-5 : Add up the four terms of step 4 :
(7x+17) • (x-2)
Which is the desired factorization
(x - 2) • (7x + 17) = 0
evaluate (4/7 + 8) x (3-(-4))
Answer:
Step-by-step explanation:
To solve the question, apply BODMAS approach. that is solve the brackets, division, multiplication first before the addition and subtraction.
step 1: take the first bracket (4/7 + 8)
[tex]\frac{4}{7} + 8[/tex] is the same as (4/7)+ (8/1). The LCM is 7. multiply each term by the LCM and divide by the denominator.
[tex]\frac{4}{7} + 8[/tex] = [tex]\frac{(4X1) + (8X7)}{7}[/tex] = [tex]\frac{4+56}{7}[/tex] = [tex]\frac{60}{7}[/tex]
step 2: consider the second bracket (3-(-4))
there is a sign multiplication in the terms. minus (-) x minus (-) = plus (+)
therefore the second bracket (3-(-4)) = 3 + 4 = 7
step 3: multiply both brackets.
(4/7 + 8) x (3-(-4)) = [tex]\frac{60}{7} X 7[/tex] = 60
The answer is 60
Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket. Write and solve an equation to find how much money each boy had after buying his ticket
Answer:
The money each boy had after buying his ticket is $2.50.
Step-by-step explanation:
Given:
Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.
Now, to find the money each boy had after buying his ticket.
Let the money each boy had after buying his ticket be [tex]x.[/tex]
Total number of boys = 4.
Total money they had = $40.
Money each boy spent = $7.50.
Now, to write an equation:
[tex]4(x+7.50)=40[/tex]
Now, to solve the equation for getting the money each boy had after buying his ticket:
[tex]4(x+7.50)=40[/tex]
[tex]4x+30=40[/tex]
Subtracting both sides by 30 we get:
[tex]4x=10[/tex]
Dividing both sides by 4 we get:
[tex]x=\$2.50.[/tex]
Therefore, the money each boy had after buying his ticket is $2.50.
Most bees have a body temperature of 35* Celsius. When they sleep, it can drop by up to 2* celsius. What's their range in body temperature written as an inequality with the variable t?
33°≤ t ≤ 35°
Step-by-step explanation:
The body temperature of a bee is given as 35°
When it sleeps, it drops by 2°
The sleeping temperature is therefore : 35°-2°=33°
The rage of body temperature is : 33°-35°
If t is body temperature then the rage in body temperature is;
33°≤ t ≤ 35°
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Keywords : body, temperature, sleep,drop,range, variable
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The graphs of f(x) = 10x and its translation, g(x), are shown.
What is the equation of g(x)?
g(x) = 10x – 3
g(x) = 10x + 3
g(x) = 10x – 3
g(x) = 10x + 3
Answer:
See attachment and explanation
Step-by-step explanation:
Assuming f(x) and its g(x) are the graphs shown in the attachment.
Then we have the base function to be
[tex]f(x) = {10}^{x} [/tex]
We can see from the graph that, f(x) has been shifted up 3 units to obtain g(x).
Hence the equation of g(x) is
[tex]g(x) = {10}^{x} + 3[/tex]
Answer:
g(x) = 10^x – 3 is the answer
\
Step-by-step explanation:
Sao can text 1500 words per hour. He needs to text a message with 85 words. He only has 5 minutes between classes to complete the text. Can he do it in 5 minutes?
Answer:
yes,in fact he can do it in just 4 minutes.
Step-by-step explanation:
number of words he can text per hour=1500
number of words he can text in a minute=1500÷60 (since there are 60 minutes in an hour,we are dividing 1500 by 60 to get the answer in minutes)
=25 words per minute
number of minutes he has=5.
now, we have to multiply the number of words he can type in a minute by the number of minutes he has,so 25×5=125.
he can type 125 words in 5 minutes.
Sao can text 25 words in a minute. Therefore, Sao can text a total of 125 words in 5 minutes. Thus, 85 words can be texted comfortably within this timeframe.
Explanation:In this situation, we first need to determine how many words Sao can type in one minute. Since he can type 1500 words per hour, and there are 60 minutes in an hour, by dividing 1500 by 60, we determine that Sao can type 25 words per minute. Now, given that Sao has 5 minutes to type the message and he can type 25 words per minute, in 5 minutes, he should be able to type 125 words - 5 (minutes) * 25 (words). This means that if Sao has a message with 85 words, yes, he can complete the text in 5 minutes as 85 is less than 125.
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The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge
The missing coordinate r is 11.
Solution:
Given points are (–15, 1) and (–7, r).
[tex]x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7[/tex]
Slope (m) = [tex]\frac{5}{4}[/tex]
To find the missing coordinate r:
Slope formula:
[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]
Substitute the given values in the formula.
[tex]$\frac{5}{4}=\frac{r-1}{-7-(-15)}[/tex]
[tex]$\frac{5}{4}=\frac{r-1}{-7+15}[/tex]
[tex]$\frac{5}{4}=\frac{r-1}{8}[/tex]
Do cross multiplication.
[tex]8 \times 5=4(r-1)[/tex]
40 = 4r – 4
Add 4 on both side of the equation.
44 = 4r
Divide by 4 on both side of the equation.
11 = r
⇒ r = 11
Hence the missing coordinate r is 11.
determine the probability will give brainliest
Answer:
The second option, 0.3 is the probability.
What is 2 2/3 * 1/2 simplified
Answer:
4/3
Step-by-step explanation:
2 2/3=8/3
(8/3)(1/2)=8/6=4/3
What are the zeros of this function?
A. x = 0 and x= 4. B. x= -6 and x= -4
c. x= 4 and x = 6
D. x= -6 and x = 5
Answer:
c
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
An architect is making a floor plan for an apartment. The floor plan will include a Great Room with a length of 30 feet and a width of 20 feet. On her floor plan, 1/4 inch will represent 1 foot of the room’s actual width. What will be the width of the Great Room, in inches, on her floor plan?
Answer:
5 inches
Step-by-step explanation:
we know that
The scale drawing is
[tex]\frac{1}{4}\ in : 1\ ft[/tex]
using proportion find out the width of the great room on her plan
[tex]\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{20}\ \frac{in}{ft}\\\\x=20(1/4)\\\\x=5\ in[/tex]
Answer:
5 inches
Step-by-step explanation:
Hope this helped!!
:
The basketball team is ordering hats for its members. Each hat costs $8. The fee to ship any size order of hats is $6. Let h equal the number of hats ordered and c equal the total cost.
The equation that I think you are looking for is:
c = 8h + 6