Answers
Related Questions
Sam baked an equal number of sausage buns and
custard buns. During the day, 68 sausage buns were
sold. Sam also baked another 27 custard buns to meet a last-minute
order. At the end of the day, Sam had baked 6 times as many custard
buns as the number of sausage buns remaining. How many sausage
buns did Sam bake at first?
Answers
Answer:
87
Step-by-step explanation:
number of sausage buns = s
number of custard buns = c
at the start of the day, s = c
at the end of the day
c+27=6(s-68)
since c = s,
s+27=6(s-68)
s+27=6s-408
-5s = -435
s=87
Let us represent:
The number of sausages baked at first = s
The number of custard buns baked at first = c
During the day, 68 sausage buns were sold. This can be expressed using algebraic equations as:s - 68
Sam also baked another 27 custard buns to meet a last-minute order. This can be expressed using algebra as:c + 27
At the end of the day, Sam had baked 6 times as many custard buns as the number of sausage buns remaining.Hence:
c + 27 = 6 (s - 68)
c + 27 = 6s - 408
Note: Sam baked an equal number of sausage buns and custard buns. This means:c = s
Hence,
c + 27 = 6s - 408
s + 27 = 6s - 408
Collect like terms
408 + 27 = 6s - s
435 = 5s
Divide both sides by 5
435/5 = 5s/5
s = 87
Therefore, the number of sausage buns Sam baked at first is 87 sausage buns.
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Write the perimeter of the triangle as a simplified expression
Answers
Perimeter=sum of sides
[tex]\\ \qquad\quad\sf\longmapsto Perimeter=6y+3y+5+y-4[/tex]
[tex]\\ \qquad\quad\sf\longmapsto Perimeter=6y+3y+y+5-4[/tex]
[tex]\\ \qquad\quad\sf\longmapsto Perimeter=9y+y+1[/tex]
[tex]\\ \qquad\quad\sf\longmapsto Perimeter=10y+1[/tex]
The simplified expression of the perimeter of the given triangle is 10y + 1
Use the concept of a triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
In the given figure:
Hypotenuse = 6y
Perpendicular = 3y + 5
Base = y - 4
The perimeter of a triangle = Hypotenuse + Perpendicular + Base
Therefore,
Perimeter of the triangle = 6y + 3y + 5 + y - 4
Perimeter of the triangle = 10y + 1
Hence,
The perimeter of the triangle is 10y + 1.
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Find the place value of 7 in 374596
Answers
Answer:
It is tens
Step-by-step explanation:
3 » ones
[tex]{ \boxed{ \sf{7 \: » \: tens}}}[/tex]
4 » hundreds
5 » thousands
9 » ten thousands
6 » hundred thousands
a system of equations is given below in terms of the scalar parameters a and b.
ax + 2y+ 4z = b
2x +y+3z= a+1
5x-2y+ (a+1)z= 3
(1) Show that if a = -5 or a=2, the system does not have a unique solution.
Answers
A system of equations only has a unique solution if all the equations are linearly independent (this means that we have two or more equations representing the same curve).
Here we have the system:
a*x + 2*y + 4*z = b
2*x + y + 3*z = a + 1
5*x - 2*y + (a + 1)*z = 3
Now we want to show that if a = -5 or a = 2, then the system does not have a unique solution.
To see this, we can just replace a by these values and see that the equations are not linearly independent.
for a = 2 we get:
2*x + 2*y + 4*z = b
2*x + y + 3*z = 2 + 1
5*x - 2*y + (2 + 1)*z = 3
Simplifying this:
2*x + 2*y + 4*z = b
2*x + y + 3*z = 3
5*x - 2*y + 3*z = 3
From the second and third equation we can write:
2*x + y + 3*z = 3 = 5*x - 2*y + 3*z
2*x + y + 3*z = 5*x - 2*y + 3*z
2*x + y = 5*x - 2*y
3*y = 3*x
y = x
now that we know this, we can rewrite the equations as:
4*(x + z) = b
3*(x + z) = 3
Now we can take the quotient of the two equations to get:
(4*(x + z))/3*(x + z) = (4/3) = b/3
b = 4
Then the equations become:
4*(x + z) = 4
3*(x + z) = 3
Here we can divide te above one by 4 and the below one by 3 to get:
(x + z) = 1
(x + z) = 1
So both equations represent the same line, thus, the system does not have a unique solution.
Now for a = -5:
-5*x + 2*y + 4*z = b
2*x + y + 3*z = -5 + 1
5*x - 2*y + (-5 + 1)*z = 3
Simplify it:
-5*x + 2*y + 4*z = b
2*x + y + 3*z = -4
5*x - 2*y - 4*z = 3
Now we can rewrite the first equation as:
-5*x +2*y - b = -4*z
and the third one as:
-4*z = 3 - 5*x + 2*y
Then we can write:
-5*x +2*y - b = -4*z = 3 - 5*x + 2*y
-5*x +2*y - b = 3 - 5*x + 2*y
Now we can remove the -5*x in both sides to get:
+2*y - b = 3 + 2*y
Now we can remove the 2*y in both sides to get:
-b = 3
b = -3
Replacing this in our system we get:
-5*x + 2*y + 4*z = -3
2*x + y + 3*z = -4
5*x - 2*y -4*z = 3
Now we can multiply the first equation by -1:
-1*(-5*x + 2*y + 4*z)= -1*(-3)
5*x - 2*y - 4*z = 3
This is the same as the third equation, so here we can see that the first and third equations represent the same line, thus, the system of equations does not have a unique solution.
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create 5 problems using all operations that has a solution of 5
Answers
Answer:
((5*5) + (10-5) * (50/100)) ÷ 3 = 5
((4*4)+(17-8 *(1.378/2)) ÷ 3.445 = 5
Step-by-step explanation:
how much is 72 kilograms in pounds
Answers
Answer:
158.733 that's the answer
9514 1404 393
Answer:
about 159 pounds
Step-by-step explanation:
The exact conversion factor from kilograms to pounds is ...
1 lb = 0.45359237 kg
So, to find the number of pounds, you multiply:
[tex]72\text{ kg}\times\dfrac{1\text{ lb}}{0.45359237\text{ kg}}\approx\boxed{158.7328\text{ lb}}[/tex]
The conversion is often approximated by 1 kg = 2.2 lb, which gives an answer that is about 0.21% low.
cho hàm số y= x^{3} +3x^{2} -1 .viết phương trình tiếp tuyến tại điểm có hoành độ bằng -1
Answers
hope you do not mind expressing this on in English ♂️
What is the smallest number that has both 8 and 9 as a
factor?
A 72
B 36
C 54
D 48
Answers
Answer:
A
Step-by-step explanation:
8 and 9 can go in 72.
Look for the LCM of 72
Answer:
72
Step-by-step explanation:
72 has both 8 and 9 as its factors from the alternatives
Apart from 72,
the available options does not have both 8 and 9 being its factors.
Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.
Answers
Answer:
7 DVDs
Step-by-step explanation:
Christine spent $29.50 in total, and $5 on the membership.
so the amount of money spent on DVDs is $29.50 - $5, or $24.50.
The number of DVDs she rent are $24.50 / $3.50 = 7 DVDs
Answer:
7 DVDs
Step-by-step explanation:
We can create an equation to found out how many DVDs she rents. Let d = number of DVDs she rents.
3.50d + 5 = 29.50
~Subtract 5 to both sides
3.50d = 24.50
~Divide 3.50 to both sides
d = 7
Best of Luck!
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
Answer:
a = 6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 8^2 = 10 ^2
a^2 +64 = 100
a^2 = 100 -64
a^2 = 36
Take the square root of each side
sqrt(a^2) = sqrt(36)
a = 6
Does the table represent a function? Why or why not?
Answers
Answer:
A.
Step-by-step explanation:
one x value cant go to two y values
Answer:
No....Not at all
You can select option A as the correct answer
Step-by-step explanation:
There can be two possibilities
x is an independent variable and y is a dependent variabley is an independent variable and x is a dependent variableFrom the definition of Function, We know, the value of a dependent variable corresponds to exactly one value of the independent variable
For possibility 1, For x = 5 and 9, y = 2 & for x = 5 and 7, y = 3
So this can't be a function
For possibility 2, For y = 3 and 2, x = 5
So this can't be a function
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
A sofa is on sale for $442, which is 85% of the regular price.
Answers
X*0.85 =442$ /0.85
X = 442$/0.85
X = 520$
Regular price is:520$
[tex]\frac{442}{x} = \frac{85}{100} \\85x = 44200\\x = \frac{44200}{85} = 520[/tex]
Original price is 520
How to solve 3/7m=6 ?
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m = 14[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm'...}}}\\\\(\frac{3}{7}) m=6\\\\-------------\\\rightarrow (\frac{3}{7}m)7 = 6*7\\\\\rightarrow 3m = 42\\\\\rightarrow \frac{3m=42}{3}\\\\\rightarrow \boxed{m= 14}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
what fraction of a minute is 50 seconds
Answers
[tex]\large \mathfrak{Solution : }[/tex]
we know,
[tex]60 \: \: sec = 1 \: \: min[/tex][tex]1 \: \: sec = \dfrac{1}{60} \: \: min[/tex][tex]50 \: \: sec = \dfrac{1}{60} \times 50 \: \: min[/tex][tex]50 \: \: sec = \dfrac{5}{6} \: \: min[/tex]50 seconds is 5/6 th of a minute.
FIRST -CORRECT- ANSWER WILL GET BRAINLIEST!!
Find u.
A. 2√2
B. 2
C. 4
D. √2
Answers
Answer:
u=2 root 2
Step-by-step explanation:
All 45 45 90 degree triangles follow the same pattern
ANSWER FAST 50 POINTS PLEASE !!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)
Answers
Line 1-Line 2-Associative property .
Line 2-Line 3- Distributive property
Solution:-
[tex]\\ \rm\longmapsto (9+x)x[/tex]
[tex]\\ \rm\longmapsto x(x+9)[/tex]
[tex]\\ \rm\longmapsto x(9+x)[/tex]
[tex]\\ \rm\longmapsto x^2+9[/tex]
pls help! I need the answer quickly!
Answers
========================================================
Explanation:
Let's say we had a circle with radius 5
It's area would be
A = pi*r^2
A = pi*5^2
A = 25pi
Now let's increase this by a factor of 4. We'll multiply the area by 4
new area = 4*(old area) = 4*(25pi) = 100pi
Now, we'll use this area value to find what the radius must be
A = pi*r^2
100pi = pi*r^2
100 = r^2
r^2 = 100
r = sqrt(100)
r = 10
The old radius r = 5 jumps to r = 10 so that the area quadruples.
We see that the radius has doubled. This must also mean the perimeter around the circle, aka circumference, must also have doubled.
C = 2*pi*r = 2*pi*5 = 10pi = old circumference
C = 2*pi*r = 2*pi*10 = 20pi = new circumference
This is directly because r has been doubled
-------------
Here's one way to think of why this works:
Consider a square of side lengths 3. It's area is 3*3 = 9.
If we double the sides, then we have a 6 by 6 square of area 6*6 = 36.
Note the jump from 9 to 36 is "times 4". This multiplier 4 is from each side doubling and we have 2*2 = 4.
If you were to triple each side, then the area multiplier would be 3*3 = 9
Multiplying each side by k leads to an area multiplier of k^2.
Write sentences to explain 1/5 x 1/2 = 1/10
Answers
Answer:
Explaination down below
Step-by-step explanation:
Before you start this question, make sure you know this rule. When multiplying fractions, Multiply the numerator by the other numerator and multiply the denominator by the other one.
[tex]\frac{1}{5}[/tex] x [tex]\frac{1}{2}[/tex]. 1*1=1, so one is the numerator. 2*5= 10 so 10 is the denominator.
The final answer is [tex]\frac{1}{10}[/tex].
You could also look at it another way. What is one half of one-fifth?
That is another way to look at it.
If this helped, please mark me as brainliest. Thank you! ;)
Samuel reads 19 pages per hour. In all, how many hours of reading how many hours of reading will Samue l have to do this week in order to have read a total of 38 pages?
Answers
Answer:
Just 2 hours
Step-by-step explanation:
Since it takes 1 hour for 19, 19+19 is 38, so it takes 2 hours
Some Word Problems
1. You are making sandwiches for a large crowd. All must be identical and must contain 2 slices of bread, 2 teaspoons mustard, 3 slices salami, 2 slices of cheese, 2 lettuce leaves, and 1 slice tomato.
You have on hand
2 loaves of bread, 20 slices each 3 pounds of cheese, each pound gives 16 slices 1 quart of mustard 60 slices of salami An unlimited supply of tomatoes from your garden 3 head of lettuce, approximately 15 leaves in each
How many sandwiches can you make?
For which ingredients is (are) there no leftovers?
In case you've forgotten your kitchen conversions: 1 quart = 4 cups; 1 cup = 16 tablespoons; 1 tablespoon = 3 teaspoons
Answers
We are to find how many sandwiches can be made and the ingredients that has leftovers
You can make 20 sandwiches
lettuce has 1 leftover and tomato has unlimited leftover
Recipe for Sandwiches:
Bread = 2 slices
Mustard = 2 teaspoons
Salami = 3 slices
cheese = 2 slices
Lettuce = 2 leaves
Tomato = 1 slice
3 pounds of cheese = 16 × 3 slices = 48 slices2 loaves of bread = 20 slices × 2 = 40 slices1 quart of mustard = 4 cups × 16 tablespoons × 3 teaspoons= 192 teaspoons
lettuce = 3 heads × 15 leaves= 45 leaves
Recipe available:
Bread = 40 slices
Mustard = 192 teaspoons
Salami = 60 slices
cheese = 48 slices
Lettuce = 45 leaves
Tomato = unlimited
Bread
Recipe available / original recipe
= 40 slices / 2 slices
= 20 servings
No leftovers
Mustard
Recipe available / original recipe
= 192/2
= 96 servings
No leftovers
Salami
Recipe available / original recipe
= 60 / 3
= 20 serving
No leftovers
Cheese
Recipe available / original recipe
= 48/2
= 24 servings
Lettuce = 45/2
= 24 remaining 1
leftover = 1
Tomato = unlimited leftovers
The ingredients available can only make 20 sandwiches equally
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In a survey of small business owners, a response to which of the following questions would be qualitative?
a. How much did your business have in profits last year?
b. How long have you owned a business?
c. What type of business do you own?
d. How many businesses do you own?
Answers
For the considered survey, the questions whose response is going to be qualitative is given by: Option C: "What type of business do you own?"
What is qualitative data?
Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.
In contrast, there is quantitative data which can be expressed numerically.
Option A, Option B and Option D will get answers which would be in numbers. Thus, their responses would be quantitative.
Option C's question will get response as type of business that the business owners own. So its not in numbers and tells about the characteristic of businesses.
Thus, for the considered survey, the questions whose response is going to be qualitative is given by: Option C: "What type of business do you own?"
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A share of stock is now worth 20% of its value from a year ago. If it is now worth $44,250, what was it worth a year ago?
Answers
Answer:
$8850
Step-by-step explanation:
44250 divided by 0.2 (output value converted from percentage to decimal)
Similarly, if you want to add percentage, multiply instead of divide!
What is the value of the expression when n = 3?
-2 n(5 + n-8-3n)
12
24
42
ОО
54
Answers
Answer:
The value = 54
Step-by-step explanation:
–2n(5+n–8–3n) = –2(3)(5+3-8-3(3)) = –6(5+3-8-9)=–30–18+48+54=54
I hope I helped you^_^
Find the midpoint of the line segment with the given endpoints.
(-1, 5), (6,6)
A) (-3.5, -0.5)
C) (13,7)
B) (2.5, 5.5)
D) (2,6)
Answers
Which expressions is equivalent to 3x (2x– 3)?
(hint: select ALL that apply. Remember to distribute!)
Answers
Hi ;-)
[tex]3x(2x-3)=3x\cdot2x-3x\cdot3=\\\\=\boxed{6x^2-9x}=\boxed{-9x+6x^2}[/tex]
[tex]3x(2x - 3) = 3x2x - 3x3 \\ = 6 {x}^{2} - 9x \\ thank \: you[/tex]
4. (k? - 4k+7)+(k? +9k – 3)
ON SA
Answers
Answer:
7k + 4
Step-by-step explanation:
I don't know what ON SA means, but here's how I solved it:
(k - 4k + 7) + (k + 9k – 3)
(-3k + 7) + (10k - 3)
(-3k + 10k) + (7 - 3)
7k + 4
-1 and 3 tenths plus 4 tenths
Answers
The answer you are looking for is -9/10, or -0.9.
Solution:
-1 3/10+4/10
-13/10+4/10
-9/10, or -0.9
Answer:
-0.9
Step-by-step explanation:
2 Rodney owns 5 shirts for every 2 pairs of jeans he owns. Draw a model to
represent the two quantities and then write a ratio to compare the quantities.
Explain your reasoning.
Answers
Ratios are used to show the relationships between 2 or more related variables.
The ratio that compare the quantities is: [tex]x : y = 5 : 2[/tex].See attachment for the modelLet
[tex]x \to[/tex] Shirts
[tex]y \to[/tex] Pair of jean
The given parameter can be represented as:
5 shirts = 2 pairs of jeans
Replace the terms with their variables
[tex]5x = 2y[/tex]
Represent as a ratio:
[tex]x : y = 5 : 2[/tex]
Hence, the ratio that compares the two quantities is: [tex]x : y = 5 : 2[/tex]
See attachment for the model that represents the two quantities
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sketch the curve of y=x² with conclusion.
Answers
Step-by-step explanation:
I have attached pictures. Hopefully they are visible.
:)
Can someone help me with an idea please? I need something like this for math and science week but i think my idea is really lame. It has to be a photograph and it can be physics, chemistry or math! Pls lmk your ideas cuz im running out of them
Answers
Answer:
take a light bulb and a potato and some wires connect together will give light
Answer:
i have attached a pic of an idea that might help you
:)
