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Complete Question
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
Mrs. Trout can bake 5 dozen
cookies in 70 minutes. How
many dozen can she bake in
112 minutes?
Answer:
She can bake 8 dozen cookies in 112 minutes.
Step-by-step explanation:
70/5 =14
112/14= 8
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,8) and (3, 4)
Answer:
6.40
Step-by-step explanation:
3x + 9 = 2x + 5
One Solution
No Solution
All real numbers
whats 4*4
hrry answer it
Answer: 16
Steps: 4 × 4 = 16
PLz mark brainliest:)
Answer:
16
Step-by-step explanation:
4*2 is 8 and 8+8 is 16.
10.) Fishermen have been studying how the number of dead sea turtles in the local bay is related to the pollution index of the bay. The number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118. Which value represents the slope and what does it mean in the context of the scenario?
Answer:
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the form:
f (x) = m*x + b or y=m*x + b
where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.
The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis. According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.
You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118. Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.
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4
3
2
1
-5 -4 -3 -2 -1 0
1
2 3
4
5
.
-2
.
4
Which point can Audrey remove?
Choose all that apply.
A (5,-2)
B (-1,3)
C (2, -1)
D (-1, -1)
Answer:
whats that.............
If the area of a rectangle is 6m², then the dimensions must be 2 meters by 3 meters. True or False?
Answer:
true
Step-by-step explanation:
(This is on my quaturly check Help!!!) ABC and CBD are supplementary angles. m/ABC=(5x+12) and m/CBD=(13x+24).Complete all the parts plz!
Answer:
Step-by-step explanation:
Part (A).
Angles ABC and CBD are the supplementary angles.
Therefore, m(∠ABC) + m(∠CBD) = 180°
Now substitute the measure of each angle in the equation,
(5x + 12)° + (13x + 24)° = 180°
18x + 36 = 180
18x = 180 - 36
18x = 144
x = 8
Part (B).
m∠ABC = (5x + 12)
= 5(8) + 12
= 52°
m∠CBD = (13x + 24)
= 13(8) + 24
= 104 + 24
= 128°
Part (C).
We can check the results by adding measures of these angles.
m∠ABC + m∠CBD = 52 + 128
= 180°
Therefore, both the angles are supplementary angles which is already given.
The mean survivial time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years. Based on a particular treatment, an individual's predicted survival time is 2.8 standard deviations beyond the mean. How much longer, after diagnosis, is the patient expected to survive?
Answer:
The time the patient expected to survive after diagnosis is 29 years.
Step-by-step explanation:
It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.
That is,
[tex]\mu=15\\\sigma=5[/tex]
An individual's predicted survival time is a = 2.8 standard deviations beyond the mean.
Compute the time the patient expected to survive after diagnosis as follows:
[tex]X=\mu+a\sigma[/tex]
[tex]=15+(2.8\times 5)\\\\=15+14\\\\=29[/tex]
Thus, the time the patient expected to survive after diagnosis is 29 years.
convert 300 seconds to minutes there are 60 seconds in 1 minute
Answer:
5 Minutes
Step-by-step explanation:
If you divide 300 by 60 you get 5.
Answer: 5 MINUTES
Step-by-step explanation:
Select each polynomial expression that could be factored by grouping.
Answer:
The 2nd and 3rd option
Step-by-step explanation:
They can be separated into 2 pairs and factored
what equation represents the line that passes through (-2,-1) and has a slope of 5
Answer:
y + 1 = 5 (x+2) in point slope form or y = 5 x + 9 in intercept slope form
Step-by-step explanation:
Answer:
y=5x+9
Step-by-step explanation:
N
What is the value of y?
O 3V3 units
O6v3 units
U
3
9V3 units
O 12V3 units
T
M
Answer: b
Step-by-step explanation:
Just took the test
The value of y is 12√3
Pythagoras theoremFrom the diagram given, we are to find the value of "y"
First, we need to get the length of TU
TU² = 6² - 3²
TU² = 36 - 9
TU = √27
Next is to get the value of y
y² = (√27)² + 9²
y² = 27 +81
y = √108
y = 12√3
Hence the value of y is 12√3
Learn more on pythagoras theorem here: https://brainly.com/question/343682
please answer the question hurry up get 25 point
Answer:
[tex]x = - 1.[/tex]
Step-by-step explanation:
[tex] {2}^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1} \\ x = - 1.[/tex]
♨Rage♨
Step-by-step explanation:
Hey there!
Given;
[tex] {2}^{x} = \frac{1}{2} [/tex]
We know that (1/2) can be written as 2^-1. So, it will be;
[tex] {2}^{x} = {2}^{ - 1} [/tex]
Looking on both sides we find that both have same base. So,
x = -1
(Note: While solving the exponential equation you must make base same by simplifying them and then equate the power)
Hope it helps...
HELP please ASAP Hw for math class
A carpenter cuts a circle out of a piece of wood. The radius of the circle is
about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for
Answer:
830.53 in²
Step-by-step explanation:
To find the area of one semicircle, find the area of the full circle and divide it by 2:
Use the circle area formula, A = [tex]\pi[/tex]r²
Plug in 3.14 as pi, and plug in the radius:
A = [tex]\pi[/tex]r²
A = 3.14(23²)
A = 1661.06
Divide this by 2:
1661.06 / 2
= 830.53
So, the area of one semicircle is 830.53 in²
Answer:
850.53 in² is the answer
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?
Given :
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.
He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.
To Find :
Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.
Solution :
Let, after x years Abraham visited y countries.
It is mathematically given as :
[tex]10 + 5x=y[/tex]
Now, it is given that his goal is minimum of 50 countries.
So,
[tex]10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8[/tex]
Therefore, minimum years required to meet his goals are 8.
Hence, this is the required solution.
Answer:
Im pretty sure the answer is C
Step-by-step explanation:
Good Luck!!!
Write an algebraic expression that represents the sum of 3 and one sixth of X
Answer: 3 + 1/6x
Step-by-step explanation:
From the question, we are informed to write an algebraic expression that represents the sum of 3 and one sixth of.
In mathematics, sum means addition. Therefore, the algebraic expression will be gotten by adding 3 to 1/6 of x. This will be:
= 3 + (1/6 × x)
= 3 + 1/6x
Krego earns $2,456.75 every month. He also earns an extra $4.75 every time he sells a new gym membership. Last month, Krego sold 32 new gym memberships. How much money did Krego earn last month? Round to the nearest penny when necessary.
Answer:
$2600.75Step-by-step explanation:
let us first model the total amount he makes
say the number of sales made us x
let the total made be y
y=2456.75+4.5x
given that the amount of sales is 32
let us put x=32 in the expression to get the total amount
y=2456.75+4.5(32)
y=2456.75+144
y=2600.75
therefore if he sale 32 new gym membership he will make $2600.75
Find the value of 5x+6 when x=-2
Answer:
-4
Step-by-step explanation:
5 times negative -2 is -10 and you just add 6 so the answer is -4
The value of 5x + 6 when x = -2 will be -4.
What is Expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is the following expression -
5x + 6
Given is the following expression -
5x + 6
At x = -2, we can evaluate the expression as -
5x + 6
5 x -2 + 6
-10 + 6
-4
Therefore, the value of 5x + 6 when x = -2 will be -4.
To solve more questions on Evaluating expression, visit the link below-
https://brainly.com/question/13589173
#SPJ2
Ron remembers that the second factor was a decimal. Based on the placement of the decimals in the first factor and the product, which must be true of the second factor? The decimal could be one-tenth. The decimal could be two-tenths. The decimal could be five-tenths. The decimal could be seven-tenths.
Answer: The decimal could be two-tenths.
Step-by-step explanation:
Two tenth as a product of decimals, 2/10 = 0.2. What this means is that a tenth is on of equal parts of something. e.g i received two tenth of the 30 bananas, what this implies is that he received 6 pieces of the bananas and this can be gotten by 2/10*30 = 6.
Answer:
b
Step-by-step explanation:
Sofia has an action figure collection. She keeps 185 of the action figures on her wall, which is 37% of her entire collection. What is the total number of action figures in Sofia's collection?
Answer:
222
Step-by-step explanation:
Answer:
500 figures.
Step-by-step explanation:
We know that 185 figures is 37% of her entire collection.
Let c represent the total amount of figures.
Since 185 is 37% or 0.37 of her total collection, we can write the equation:
[tex]0.37c=185[/tex]
Remember that the keyword of tells us it's multiplication.
Therefore, to find the number of figures in her total collection, divide both sides by 0.37:
[tex]c=\frac{185}{0.37}[/tex]
Evaluate. Use a calculator. So:
[tex]c=500[/tex]
Sofia's total collection has 500 figures.
You are making picnic baskets. The list shows the items you are putting into the baskets. You want identical groups of items in each basket with no items left over. What is the greatest number of picnic baskets you can make? 32 sandwiches 40 granola bars 48 apples
Answer:
8 picnic baskets
Step-by-step explanation:
We are told in the question we have :
32 sandwiches
40 granola bars
48 apples
The greatest number of picnic baskets we can have is calculated using greatest common factor method
The factors are:
The factors of 32 are: 1, 2, 4, 8, 16, 32
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Then the greatest common factor is 8.
Therefore, the greatest number of picnic baskets you can make is 8 picnic baskets.
Step-by-step explanation
We are told in the question we have :
32 sandwiches
40 granola bars
48 apples
It will make my life if you help me with this forealzez
Answer:116
Step-by-step explanation:
By definition, a rhombus will have equal opposite angles.
Also by definition, the two angles on the same side of a rhombus are supplementary, or add up to 180 degrees.
Using this, we can make the equation 2c-12+c=180, 3c-12=180, 3c=192, and c =64
Now that we have found out c is 64, we plug it into the angle 2c-12 to get
2*64-12=116.
So again by definition, angle J will be 116 degrees since its an opposite angle.
can anybody help me know the Pythagorean theorem
Answer:
[tex]8^{2} +U^{2} =17^{2}[/tex]
solve the squared numbers
[tex]8^{2} =64[/tex]
[tex]17^{2} =225[/tex]
[tex]64+U^{2} =225[/tex]
subtract 64 from 289
[tex]U^{2} =225[/tex]
square root 225
[tex]U=[/tex][tex]\sqrt{225}[/tex]
simplify that
[tex]U=[/tex][tex]\sqrt{15^2}[/tex]
[tex]U= 15[/tex]
If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2
Answer:
x = -2 or x = -1/2
Step-by-step explanation:
We can just set up an equation where the quadratic is equal to -10, and then solve the equation:
[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]
Now, factor:
[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]
What the equation of the line that is perpendicular to the line y = −3x + 5 that goes through point D (9, 2)?
Answer:
y=1/3-1 ...............
A,B,C OR D
PLS HELP..
Answer:
DDDDDDDDDDDDDd
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
its steeper than the others
Kaylee and Rory have a circular swimming pool. The pool has a cover that fits snuggly over the top of it. If the radius of the pool is 12 ft, what is the surface area of the cover?
Answer:
oi
Step-by-step explanation:
Answer:
11 feet maybe
Step-by-step explanation:
Please help me this is due tomorrow and I just need this. ALSO WHEN YOU ANSWER SHOW ME YOUR STEPS FOR BRAINLEST THANKS!
Answer:
x=3
Step-by-step explanation:
1/4(12x + 4) - 14= -1/2(8x - 16)
1. Simplify each side my multiplying
3x - 13 = -4x + 8
2. Add 13 on each side
3x = -4x + 21
3. Add 4x on each side
7x = 21
x=3