Answer:
part A : $4
part B : $16
Sue buys a certain brand of cereal that costs = $12 per box.
She changes to a super-saving brand of the same size.
The equation showing price y as a function of the number of boxes, x is for the new brand.
y = 8x
for x = 1, y = 8
So for 1 box super-saver cereal brand costs $8.00
Part A. - So saving per box = 12 - 8 = $4
Part B. - Money saved in 1 box = $4
Therefore, money saved in 4 boxes = 4 × 4 = $16
HOPE THIS HELP YOU FRIEND
The price of the Sue's original box is $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we're specified that:
Price of original cereal box = $12 per box.Price of super saving box = y = 8x, where x is the number of boxes.putting x= 1, we get y = 8. Thus, for each box of super saving brand, Sue pays $8.
The difference between both box's price is: 12 - 8 = 4 dollars.
Also, as Sue saves 4 dollars on each box of cereal, and she buys 4 boxes of cereal, then if she buys the boxes of super saving brands, then she saves 4 dollars per box for 4 boxes, whose total is 4 times 4 = 16 dollars.
Thus, the price of the Sue's original box is $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.
Learn more about forming equations here:
https://brainly.com/question/11938672
h(t) = 4t+20 What is h(_____)=4?
Answer: -4
Step-by-step explanation:
For the function 4t + 20, the value of t is -4.
What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given value of function h(t) = 4t + 20.
To find the value of t when h(t) = 4.
Substitute, h(t) 4.
4t + 20 = 4
4t = 4 - 20
4t = - 16
t = -4.
The required value of t is -4.
To know more about Function on:
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A 16 -ounce bottle of Spring Water is $1.76 . A 20 -ounce bottle of Fresh Water is $2.40 . Which statement about the unit prices is true?
Answer:
The difference in unit price is $0.01/ounce
Step-by-step explanation:
A 16 -ounce bottle of Spring Water = $1.76
A 20 -ounce bottle of Fresh Water = $2.40
For the spring water, the unit price = 1.76/16 = $0.11/ounce
For the fresh water, the unit price = 2.4/20 $0.12/ounce
The difference in unit price is $0.01/ounce
How many dots would be in the 7th picture ?
Answer: 28 dots
Step-by-step explanation: In this pattern,
we can see the the first figure is just 1 dot.
The second figure has a new row on the bottom with 2 dots.
The third figure has a new row on the bottom with 3 dots
and the fourth figure has a new row on the bottom with 4 dots.
So continuing with this pattern,
the next figure will have a new row with 5 dots,
the next will have a new row with 6 dots,
and the next will have a new row with 7 dots.
So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.
This simplifies to 28 dots.
Take a look below.
Explain what happens when you solve the mathematical sentence 4 – ( -5)
Answer:
4-(-5)=4+5=9
Step-by-step explanation:
Instead of subtracting the numbers, the subtraction sign and the negative sign in front of the 5 combine to make one big plus sign, therefore resulting in the equation becoming 4+5=9.
A polnt represents:
line segment
a location
O intersection of a plane
none of the above
A point represents a location. A coordinate on a plane .
The intersection of two planes is a line.
I am a number with 45 tens and 3 ones. What number am I
Answer:
453
Step-by-step explanation:
Serenity's monthly bank statement showed the following deposits and withdrawals:
-−$66.85, -−$117.44, $18.84, -−$104.13, $91.23
If Serenity's balance in the account was $45.71 at the beginning of the month, what was the account balance at the end of the month?
Answer:
22.45
Step-by-step explanation:
Answer: The correct answer is -132.64
Separate 126 into two parts so that one part is 16 more than the other part. Find each part. show work
Answer:
55 and 71
Step-by-step explanation:
Let s represent the smaller part.
s +(s +16) = 126
2s = 110
s = 55
s+16 = 71
The two parts are 55 and 71.
_____
After you work a few of these, you recognize that the two numbers will be ...
[tex]\dfrac{126}{2}\pm\dfrac{16}{2}\quad\text{half the sum plus or minus half the difference}[/tex]
In the figure below, the measure of
True
False
Answer:
The answer to this is true because they are open at the same angle
the product of 9 and a number n
Answer:
My answer to the question is 9×n=9n.
Please help me I need to get the right answer
Answer:
b. -2
Step-by-step explanation:
[tex]y =-x-2[/tex]
Let x equal 0
[tex]y = -(0) -2\\y =-0-2\\y =-2[/tex]
Answer:
B
Step-by-step explanation:
So we have the equation:
[tex]y=-x-2[/tex]
This is in the slope-intercept form, where:
[tex]y=mx+b[/tex]
m is the slope and b is the y-intercept.
From the given equation, m is -1 and b is -2.
Therefore, the y-intercept is -2.
Our answer is B
The quadratic function g(x) has a vertex at
(-5, 0) and y-intercept of (0, -5). What is g(1)?
Answer: -7.2
Step-by-step explanation:
The vertex form of quadratic equation :[tex]f (x) = m(x - a)^2 + b,[/tex] where (a,b) is the vertex.
Given: The quadratic function g(x) has a vertex at (-5, 0).
Put (a,b)= (-5,0) for function g(x), we get
[tex]g(x)=m(x-(-5))^2+0\\\\\Rightarrow\ g(x)=m(x+5)^2[/tex]
Also, its y-intercept is (0, -5).
Put x= 0 and g(x) =-5
[tex]-5=m(0+5)^2\\\\\Rightarrow\ -5=m(25)\\\\\Rightarrow\ m=\dfrac{-5}{25}\\\\\Rightarrow\ m=\dfrac{-1}{5}[/tex]
so, [tex]g(x)=-\dfrac{1}{5}(x+5)^2[/tex]
For g(1), put x=1
[tex]g(1)=-\dfrac{1}{5}(1+5)^2\\\\=-\dfrac{1}{5}(6)^2=-\dfrac{1}{5}(36)\\\\=-7.2[/tex]
Hence, g(1) is -7.2.
Find the zeros of the function.
Enter the solutions from least to greatest.
h(x) = (-4x – 3)(x – 3)
lesser x =
greater x =
Answer:
x = -3/4 or x = 3
Step-by-step explanation:
Solve for x over the real numbers:
(-4 x - 3) (x - 3) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
-4 x - 3 = 0 or x - 3 = 0
Hint: | Look at the first equation: Divide both sides by the sign of the leading coefficient of -4 x - 3.
Multiply both sides by -1:
4 x + 3 = 0 or x - 3 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 3 from both sides:
4 x = -3 or x - 3 = 0
Hint: | Solve for x.
Divide both sides by 4:
x = -3/4 or x - 3 = 0
Hint: | Look at the second equation: Solve for x.
Add 3 to both sides:
Answer: x = -3/4 or x = 3
Answer:
lesser x = -3/4
greater x =3
Step-by-step explanation:
h(x) = (-4x – 3)(x – 3)
Set the function equal to zero to find the zeros
0 = (-4x – 3)(x – 3)
Using the zero product property
0 = (-4x – 3) 0=(x – 3)
Solve each equation
3 = -4x 3 =x
-3/4=x 3 =x
lesser x = -3/4
greater x =3
To calculate the height of a tree, Sophie measures the angle of elevation from a point “A” to be 34°. She then walks 10 m directly toward the tree, and finds the angle of elevation from the new point “B” to be 41°. What is the height of the tree, to the nearest tenth of a metre?
Answer:
30.1 Metres
Step-by-step explanation:
For this problem, we will use the law of sines twice to find the height of the tree.
First, you need to draw the image of the tree with two triangles, one with an angle of 34 degrees, and the second with an angle of 41 degrees, both being a right triangle toward the tree. The distance between point A and point B should be 10 meters.
From here, your bottom line of the triangle should be represented as 10 + x for the unknown distance from where Sophie stood to the tree. The x represents the distance from point B to the tree, whereas 10 + x represents the distance from point A to the tree.
Now, let's use the scalene triangle created by the distance between point A and point B to the top of the tree, to calculate the diagonal distance from point B to the top of the tree.
Using this scalene, we have the angles, 34, 7, and 139. Now, use the law of sines to find the diagonal of point B to the top of the tree represented by r.
sin(7) / 10 == sin (34) / r
r == 10 * sin (34) / sin(7)
r == 10 * .55919 / .12187
r == 45.88
Now that we know this diagonal distance, we can use the law of sines again with the second triangle, 41, 49, 90, to find the height of the tree represented by y.
sin(41) / y == sin(90) / 45.88
y == 45.88 * sin(41) / sin(90)
y == 45.88 * .65606 / 1
y == 30.1
So the height of the tree to the nearest tenth of a metre would be 30.1 metres.
Cheers.
Answer:
Hight of the tree: h = 30,1 mStep-by-step explanation:
tan(34°)≈0.6745 tg(41°)≈0.8693
[tex]\tan(34^o)=\dfrac h{x+10}\\\\\tan(34^o)(x+10)=h\\\\x+10=\dfrac h{\tan(34^o)}\\\\x=\dfrac h{\tan(34^o)}-10[/tex] [tex]\tan(41^o)=\dfrac hx\\\\x\tan(41^o)=h\\\\x=\dfrac h{\tan(41^o)}[/tex]
[tex]\dfrac h{\tan(34^o)}-10=\dfrac h{\tan(41^o)}\\\\ h\tan(41^o)-10\tan(34^o)\tan(41^o)=h\tan(34^o) \\\\ h\tan(41^o)-h\tan(34^o)=10\tan(34^o)\tan(41^o) \\\\ h[\tan(41^o)-\tan(34^o)]=10\tan(34^o)\tan(41^o)\\\\h=\dfrac{10\tan(34^o)\tan(41^o)}{\tan(41^o)-\tan(34^o)}\\\\\\h\approx \dfrac{10\cdot0.6745\cdot0.8693}{0.8693-0.6745}=\dfrac{5.8634285}{0.1948}\approx30.1\ m[/tex]
what is the answer to 50-43+(6x8)-9+3 and how do you solve it?
Answer:
Hey there!
50-43+(6x8)-9+3
50-43+48-9+3
7+48-9+3
46+3
49
Let me know if this helps :)
Answer:
= 49
Step-by-step explanation:
50-43+(6x8)-9+3
= 50 - 43 + (48) - 9 + 3
= (50 + 48 + 3) + (-43 - 9)
= 101 - 52
= 49
POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY I JUST STRUGGLE!! LAST QUESTIONS!!
18. What is the range of y=x+3^2?
A) {3^2}
B) {1, 3, 9}
C) All real numbers except 9.
D) All real numbers
Answer:
Step-by-step explanation:
y=x+3² if this is the equation then it is all real numbers
give the range of the relation shown below
Answer:
Range { 3,7,11,15}
Step-by-step explanation:
The range is the output or y values
Range { 3,7,11,15}
Sorry about the glare?
Answer:
1) natural number or whole number
2) rational number
3) irrational number
4) integer
5) associative property under with respect to multiplication over addition
6) left distributive property with respect to multiplication over subtraction
7) communitative property under addition
8) right distributive property with respect to multiplication over addition
9) +7
10) -4/9
11) -3.8
12) root -5
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) rational number
2) 5/4 = 1.25 rational number
3) √11 irrational number
4) - 12 rational number
5) (6*8) *5 = 6*(8*5) Associative property of multiplication
6) 7*(9-5) = 7*9 - 7*5 Distributive property upon subtraction
7) 84 + 16 = 16 +84 Commutative property of addition
8) (12 +5) *6 = 12*6 + 5*6 Distributive property upon addition
Given number additive inverse multiplicative inverse
9) - 7 +7 [tex]\frac{-1}{7}[/tex]
10) [tex]\frac{4}{9}[/tex] [tex]-\frac{4}{9}[/tex] [tex]\frac{9}{4}[/tex]
11) 3.8 -3.8 [tex]\frac{1}{3.8}[/tex]
12) √5 -√5 [tex]\frac{1}{\sqrt{5} }[/tex]
Hint:
To find additive inverse, just reverse it's sign
a additive inverse is -a
-a additive inverse is a
Multiplicative inverse of a number 'x' is 1/x
Multiplicative inverse of a fraction a/b is b/a
evaluate 9/m+4 when m=3
Answer:
[tex] \frac{9}{7} \: or \: 1.28[/tex]
Step-by-step explanation:
[tex] \frac{9}{m + 4} = \frac{9}{3 + 4} = \frac{9}{7} \: or \: 1.28[/tex]
The table shows the price for different numbers of cupcakes: Number of Cupcakes Price (in dollars) 3 12 4 16 5 20 7 28 Does this table of numbers represent a proportional relationship? (
Answer:
Yes
Step-by-step explanation:
If you put all of those points on a graph you get a slope of 4 and a perfectly straight line.
Answer:
The answer is Yes, because the price is 4 times the number of cupcakes because 3 × 4 = $12, 4 × 4 = $16.
Step-by-step explanation:
What decimal is equivalent to 45/54
Answer:
0.83
Step-by-step explanation:
[tex] \frac{45}{54} \\ [/tex]
Use 3 to divide through
[tex] \frac{5}{6 } = 0.8333333[/tex]
Pleaseee help I need fast and right
Answer: e. x≠2 f. x≥-1/2
Step-by-step explanation:
Domain is basically the x value of a function.
----------------------------------------------------------------
Question e.
g(x)=5/(2-x)
First, keep in mind, the denominator of a fraction can not be zero or else it will be undefined.
Since x is in the denominator: 2-x≠0
2-x≠0
x≠2 Yes, this is the domain----------------------------------------------------------------
Question f
h(x)=√(2x+1)
For a standard square root, the value inside can't b negative
So 2x+1≥0
2x≥-1
x≥-1/2 Yes, this is the domainHope this helps!! :)
Please let me know if you have any question
The line a bus arrives at the bus stop every 25 minuetes, and the line B busarrived every 15 minuetes both are at the bus stop right now. In how many minutes will both be at the bus stop again
Answer: 75 minutes.
Step-by-step explanation:
Given that the line a bus arrives at the bus stop every 25 minuetes, and the line B busarrived every 15 minuetes both are at the bus stop right now.
In how many minutes will both be at the bus stop again?
We can achieve that by finding the LCM of 25 and 15
The LCM of both will be 3, 5 and 5
That is, 3 × 5 × 5 = 75 minute.
Therefore, both will be at the bus stop again in the next 75 minutes or 1 hour 15 minutes.
What is the distance between 1240 feet above sea level and 620 feet below sea level
Answer:
1860
Step-by-step explanation:
First, we need to get to 0.
1240 above sea level. The distance to 0 is 1240.
Next, below sea level. The distance to 0 is 620.
So, add 1240 + 620 to find the distance between the 2 numbers.
1860
Hope this helps!!!
At 4:41 P.M., Olivia started to make orange juice. She got out twelve oranges, juiced them, and drank the juice. When she finished it was 5:35 P.M. How long did it take to make and drink the juice? hours minutes
Answer:
54 Minutes
Step-by-step explanation:
subtract 35 from 41=6SUBTRACT 6 minutes from a hourthat gives you 54 minuteshelp please.. its quiet easy anyway xd
Answer:
An equilateral triangle is a triangle in which all three sides are equal. An equilateral triangle is also equiangular, in which all three internal angles are also congruent to each other and are each 60°.
Parallelogram and rhombus possibly.
Trapezoid.
Answer:
Part a)
Three equal sides
Three equal angles
Part b)
1) Rhombus
2) Parallelogram
[Both have 2 pairs of parallel sides and thus have their opposite angles equal]
Part c)
Trapezoid [Have exactly 1 pair of parallel sides]
Solve: 8 [-4 (3-2)] *
Answer:
32
Step-by-step explanation:
simplify
8 [-4 (3-2)]
multiply
8 [-4 (1)]
take absolute value: four becomes positive
8 [-4]
solve
8*4
32
Answer:
i believe its -32
Step-by-step explanation:
Well you start in the parentheses and you get 1 and then you multiply -4 x 1 and you get -4 and then multiply that by 8 and get -32
hope this helps
What kind of writing is found in a scientific essay?
Please help me i am in a bit of a rush
Answer:
0.505 in fraction is 101/200.
it can't be divided into simplest form
The area of a rectangle is represented by the formula A = lw, where I is the length
and w is the width. Solve the formula(equation) for width(w). *
Answer:
w= A / l
Step-by-step explanation:
A = lw
Where,
A= Area of a rectangle
l= Length of a rectangle
w= width of a rectangle
Area of a rectangle = length × width
Solve the formula(equation) for width(w).
A= lw
Divide both sides by l
A / l = lw / l
A / l = w
Width = Area of the rectangle / length of the rectangle
Example: Find the width of the rectangle with length of 6 inches and Area of 12 square inches.
A= 12 square inches
l= 6 inches
w= x inches
A= lw
w= A / l
= 12 / 6
= 2
w = 2 inches