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The bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is needed to make a loaf of bread.
a. If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms.
b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.
Answer:
a. 8.85kg of flour is left.
b. 2.95 bins
Step-by-step explanation:
The bakery bought 4 bags of flour containing 3.5 kg each.
Total kg of flour the Bakery bought : 4 × 3.5kg
= 14 kg of flour
0.475 kg of flour is needed to make a batch of muffins
1 batch of muffin = 0.475kg of flour
4 batches of muffins = ???
Cross Multiply
4 batches × 0.475kg/ 1 batch
= 1.9kg of flour was used.
0.65 kg is needed to make a loaf of bread.
1 loaf of bread = 0.65kg of flour
5 loaves of bread = ???
Cross Multiply
5 loaves × 0.65/1 loaf
= 3.25 kg of flour.
Total kg of flour used = 1.9kg + 3.25kg
= 5.15kg of flour.
The amount of flour left = 14kg - 5.15kg
= 8.85kg of flour is left.
b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour?
3 kg of flour is stored = 1 bin
8.85 kg of flour is stored = x
Cross Multiply
3kg × x = 8.85kg × 1 bin
x = 8.85 kg × 1 bin/3kg
x = 2.95 bins
Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5
Please answer this question
Answer:
she is running at a constant speed
Step-by-step explanation:
the bar is still because she isnt going faster or slowing down she is constant
Answer:
D: She is at a constant speed.
Step-by-step explanation:
she is not acceleraring or decelerating, so her speed is constant
in a geometrical progression,the product of the 2nd and 4th term is double the the 5th terms. and the sum of the first four terms is 80 find the G.p
The 15th term of the geometric progression is 9,565,94.
What is the 15th term of the geometric progression?A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.
From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that
a1 r a1 r3 = 2 a1 r4
The r's and one a1 cancel leaving a1 = 2.
Now, plugging similarly into a1 + a2 + a3 + a4 = 80,
2 + 2r + 2r2 + 2r3 = 80
r3 + r2 + r + 1 = 40
In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.
So the geometric sequence here is an = 2 3n-1. The 15th term is then:
a15 = 2*3^14
a15 = 9,565,938.
Full question:
A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.
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Colin predicted whether he got answers right or wrong in his 50 question exam. He identified the 8 questions he thought he got wrong. It turns out that Colin got 5 questions right that he thought he got wrong. Colin also got a total score of 45 out of 50 in the test. What is the percentage accuracy he had with predicting his scores?
Total questions, T = 50.
Colin thought 8 questions were right.
Colin got 5 questions right that he thought he got wrong.
Total score, s = 45.
So, actual number of questions which are wrong are 5.
Score according to him = 50 - 8 = 42.
Now, we know percentage accuracy is given by :
[tex]\% =100- \dfrac{|Actual\ value-Theoretical\ value|}{Actual\ Vlaue}\times 100\\\\\%=100-\dfrac{|45-42|}{42}\times 100\\\\\%=100-7.14 \%\\\\\%=92.86\%[/tex]
Therefore, percentage accuracy he had with predicting his scores is 92.86%.
Hence, this is the required solution.
ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?
Answer:hope it helps,
Step-by-step explanation:
true or false: an cubic function may have 3 irrational zeros
The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be
(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6
This has the rational roots x = 1, x = 2, x = 3.
However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.
In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.
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Answer:
14 miles
Step-by-step explanation:
make it into an equation 1.50x+3=24 then solve
0.6×100 is equal to
Answer:
60
Step-by-step explanation:
.6 x 100 = 60
Robert conducts an experiment to measure the temperature of a solution. Due to a defect in the apparatus, the temperature of the solution measured in each trial is 5°F more or less than the theoretical temperature of 11°F of the solution.
The following absolute value equation can be used to determine the temperature of the solution measured by Robert:
|x − 11| = 5.
Here, x represents the measured temperature of the solution in degrees Fahrenheit.
Based on the above information, what is the temperature of the solution as measured by Robert?
A.
The temperature of the solution measured by Robert is 5°F or 6°F.
B.
The temperature of the solution measured by Robert is -6°F or 6°F.
C.
The temperature of the solution measured by Robert is -6°F or -16°F.
D.
The temperature of the solution measured by Robert is 16°F or 6°F.
What else would need to be congruent to show that ABC is congruent to DEF by ASA?
Answer:
D
Step-by-step explanation:
Angle Side Angle
Which values are outliers?
5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9
0.8 Outlier
1.1 Outlier
10.2 Not Outlier
10.9 Not Outlier
Need help filling out the chart for #3
Answer:
Slope intercept equation= y2-y1 over x2-x1
When to use= You know the slope and any point
How can you tell when to use a discrete graph as opposed to using a continuous graph? Give an example of each.
Answer:
Continuous graphs have all real numbers
Discrete graphs have whole numbers
Step-by-step explanation:
Which inequalities are true? Select the four correct answers
Will mark Brainiest
Answer:
see below
Step-by-step explanation:
1. 0 < √8 = true
2. √8 < 3 = true
3. √8 > √7 = true
4. √8 < 2 = false
5. √8 > 8 = false
6. 1 < √8 = true
Inequalities help us to compare two unequal expressions. The inequalities that are true are 1, 2, 3 and 6.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The value of √8 is equal to 2.828427, therefore, the inequalities that are true are,
0 < √8√8 < 3√8 > √71 < √8Hence, the inequalities that are true are 1, 2, 3 and 6.
Learn more about Inequality:
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A pack of gum costs $2.95. If it holds 12 sticks of gum, about how much would one individual stick of gum cost?
A $0.05
$4.00
$0.40
D $0.25
E $3.60
Answer:
$0. 25
Step-by-step explanation:
2. 95 ÷ 12 = 0.24583333
Round the number and you would get
0. 25
Answer:
D. $0.25
Step-by-step explanation:
the whole pack costs $2.95 and there are 12 sticks, so you divide the total cost ($2.95) by the amount of sticks (12) and get the answer $0.2458, or $0.25 rounded up. :)
(x - 3)? > -3(x + 2) for x = 3
Answer:
The Left side (0) is greater then the right side (-15)
Step-by-step explanation:
(x - 3) is greater than -3(3+2)
3x + 9 = 2x + 5
One Solution
No Solution
All real numbers
Helppppp Meeeeee !!!!!!!!!
Answer:
a) draw the triangle using the graph points
b) move the triangle 3 points to the left and 1 point down
c) translation
d) draw this shape
e) write down the coordinates
Step-by-step explanation:
The x-3 in translation tells you to move 3 squares to the left along the x axis in translation and y-1 tells you to move down one on the y axis.
What algebraic expression could represent the average of 2x, x + 3, and 6x?
Answer:
3x+1
Step-by-step explanation:
(2x+x+3+6x)/3
9x+3/3
3x+1
The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.
This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.
Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.
In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.
Learn more about Expressions here :
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What is the value of 120?
I need help with number 1 I don’t understand I’ll give BRAINLIEST to whoever helps me the best
Answer:
The answer is B.200
Step-by-step explanation:
145.93×1.37=199.9
We need to multiply because the second team takes the times as longer than the first team. The answer is 200 because we need to roundup 199.9 into 200
Hope it helps :)
Which word best describes the element in box number 2?
a Brittle
b. Gas
С Semiconductor
d. Shiny
the correct answer is c. hope this helped
there are 49 mangoes and 63 avocado's to be sold as part of the fair is school. the organizer wants the same number of items of fruits in each bag. mangoes and avocado's should not be mixed. what is the greatest number of each fruit that can be placed in a bag? A) 7 B) 8 C) 9 D) 10
Answer:
9
Step-by-step explanation:
Give another name for line JK.
Answer:
indecsaty
Step-by-step explanation:
the indecsaty of the line more known as a slope is the other name
if 60% people in a city like cricket 30% like football and the remaining like other games
. 50 .
Answer:
is that supposed to be a question
which of these is correct? will give brainliest C:
Answer:
$7.50/lb answer A is correct
Step-by-step explanation:
Find the unit cost: $ per pound:
Calculate
$3.00
--------------------
(2/5) lb
It's slightly easier to calculate the equivalent
$3.00
------------- = $7.50/lb answer A is correct
0.4 lb
Answer: D. $1.20 per pound
Step-by-step explanation:
Because 2/5= 0.4 in a decimal form.
If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).
1.20= 1.2
True or False: These two equations are equivalent
5x + 18 = 32
18 = 80
Plz help!!! Will mark brainliest!!!!!!
Find the arc length
Answer:
5π
Step-by-step explanation:
Arc length = 1/4 * circumference
Circumference = 2*pi*r = 2*pi*10 = 20pi
Arc length = 1/4 * 20pi = 5pi
ILL MARK BRAINLIST IF YOU SHOW YOUR WORK and get it right ....... Simplify 42/70
Find the GCF(Greatest Common Factor) of 42 and 70: 14
Divide numerator and denominator by the GCF.
42 ÷ 14 = 3
70 ÷ 14 = 5
3/5
Answer:
3/5
Step-by-step explanation:
Think of the GCF of 42 and 70
which is 14 divide by 14 which you will get 3/5
(Alternate method)
If you don't know how to do that I will try to divide by the prime numbers like: 2,3,5,7 etc
until you get to a answer that can't be divided anymore
Hope this helps!