let's firstly convert the mixed fractions to improper fractions.
now, 1¼ dozen of cupcakes.... well, let's keep in mind that a dozen has 12 units, so 1¼ dozen is then 12(1¼) cupcakes total.
[tex]\bf \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}}~\hfill \stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \stackrel{\textit{how many cupcakes in }\frac{5}{4}\textit{ of a dozen?}}{12\cdot \cfrac{5}{4}\implies \cfrac{12}{4}\cdot 5\implies 15} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} cupcakes&\stackrel{cups}{flour}\\ \cline{1-2}\\ 15&\frac{5}{3}\\[1em] c&1 \end{array} \implies \cfrac{15}{c}=\cfrac{~~\frac{5}{3}~~}{1}\implies \cfrac{15}{c}=\cfrac{5}{3} \\\\\\ 45=5c\implies \cfrac{45}{5}=c\implies \boxed{9=c}[/tex]
In the given case, Rashida can make approximately 9 cupcakes with 1 cup of flour.
To determine how many cupcakes Rashida can make with the 1 cup of flour she has, we need to calculate the conversion factor between the given measurement of 1 2/3 cups of flour and the available 1 cup of flour.
The conversion factor is found by dividing the available amount by the required amount
(1 cup ÷ 1 2/3 cups).
We can simplify the fraction to obtain a decimal,
1 ÷ (5/3) = 3/5 ≈ 0.6.
So, Rashida can make approximately
0.6 × 1 1/4 dozen = 0.6 × 15 = 9 cupcakes.
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At first, the ratio of Dave's savings to Sam's savings was 5:4. After each of them donated $40 to charity, the ratio of Dave's savings to Sam's savings became 13:10. What was Dave's savings at first?
Answer:
$300
Step-by-step explanation:
Let D = Dave's savings and S = Sam's savings.
(1) D/S = 5/4
(2) (D – 40)/(S-40) = 13/10 Multiply (1) by 4S
(3) 4D = 5S Multiply (2) by 10(S-40)
10(D - 40) = 13(S - 40) Remove parentheses
(4) 10D – 400 = 13S - 520 Solve (3) for S
S = (4/5)D Substitute into (4)
10D – 400 = 13(4/5)D - 520 Multiply each side by 5
50D – 2000 = 52D – 2600 Subtract 50D from each side
-2000 = 2D – 2600 Add 2600 to each side
600 = 2D Divide each side by 2
D = $300
Dave's savings at first were $300.
A baker can make 30 gingerbread cookies in one half hour. How many can he make in 4 hours
Answer:
So 30:1/2
So you can times both sides by 2
60:1
Now you can multiply 60 by 4 (The total times the time you need)
Your answer is 240
The baker can make 240 gingerbread cookies in 4 hours
Hope that helps feel free to ask more questions
Brainliest??
A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), and C′(15, 0). The origin is the center of dilation. What is the scale factor of the dilation? A. 1.5 B. 2 C. 2.5 D. 3
Answer:
2.5
Step-by-step explanation:
just got it right
Please help. Urgent.
3. ΔPQR ≅ ΔSRT
3. ASA (Angle - Side - Angle) - we have two triangles where we know two angles and the included side are equal
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
4. PR ≅ SR
4. ΔPQR ≅ ΔSRT - the corresponding sides are congruent.
pleaseeeeeeeeeeee
How to write the following in scientific notation :
a. (5×〖10〗^3 )×(3.5×〖10〗^(-1)
b. (8×〖10〗^2 )÷(4×〖10〗^3 )
c. (6×〖10〗^(-3) )^2
[tex]\text{The scientific notation:}\\\\a\times10^n\\\\1\leq a<10,\ n\in\mathbb{Z}[/tex]
[tex]a.\\(5\times10^3)\times(3.5\times10^{-1})=(5\times3.5)\times(10^3\times10^{-1})\\\\=15.75\times10^{3+(-1)}=15.75\times10^2=1.575\times10\times10^2\\\\=1.575\times10^{1+2}=\boxed{1.575\times10^3}[/tex]
[tex]b.\\(8\times10^2)\div(4\times10^3)=(8\div4)\times(10^2\div10^3)=2\times10^{2-3}\\\\=\boxed{2\times10^{-1}}[/tex]
[tex]c.\\(6\times10^{-3})^2=6^2\times(10^{-3})^2=36\times10^{-3\cdot2}=36\times10^{-6}=3.6\times10\times10^{-6}\\\\=3.6\times10^{1+(-6)}=\boxed{3.6\times10^{-5}}[/tex]
[tex]Used:\\\\a^n\times a^m=a^{n+m}\\\\a^n\div a^m=a^{n-m}\\\\(a^n)^m=a^{n\cdot m}[/tex]
a container has dimes and nickels. there are 30 diems in the container .if 50%of the coins in the container are dimes, how many coins are in the container
Dr. Hall files 320 insurance claims every month. if 5% of those claims are rejected, how many claims are rejected? How many are accepted?
Can someone plz solve this for me??
The height of the new rectangle is 7.5cm
We shall use the proportion of the lengths of the original and enlarged rectangles to find the height of the new rectangle
Let the height of the new rectangle = h.
The proportion of the lengths of the original and enlarged rectangles = original length / enlarged length = original height / enlarged height
Plugging in the values, we have:
12/18 = 5/h
12 * h = 18 * 5
We solve for h:
12h = 90
h = 90/12
h = 7.5cm
Thus, the new rectangle's height is 7.5cm.
you sold two different types of wrapping paper for your band fund-raiser. One type sold for $6 a roll and the other for $8 a roll. You collected a total of $92 for the 14 rolls you sold. How many of each type of wrapping paper did you sell?
Answer:
10 and 4
Step-by-step explanation:
So let's set up equations. So x+y=14. And 6x+8y=92. So 2y=8 or y=4. So x=10.
Mr. Logan needs to buy snacks for his daughter's soccer team. He decides to buy crackers and granola bars at a local grocery store. The price of the crackers is $9 for 3 boxes, and the price of the granola bars is $6 for 3 boxes. Mr. Logan ends up buying $20 worth of crackers and granola bars. Which equation represents the relationship between the number of boxes of crackers, x, and the number of boxes of granola bars, y, that Mr. Logan bought at the grocery store?
A. 2x+2y=20
B.2x+3y=20
C.3x+2y=20
D.3x+3y=20
Answer:
Option no C
Step-by-step explanation:
Given:
Price of crackers $ 9 for 3 boxes
Price of Granola Bars $6 for 3 boxes
Total bought $ 20 worth of snacks
To find the equation
Solution:
Price of cracker $ 9 for 3 boxes
price of one box of a cracker = $ 9 / 3
=$ 3 per box
Price of granola bars $ 6 for 3 boxes
price of one box of a granola bars = $ 6 / 3
=$ 2 per box
Let total crackers bought are x
price of x crackers will be 3x
Let granola bars bought are y
price of y granola bars will be 2y
as total price is 20
so price of x crackes + y granolas = 20
which will be
3x + 2y = 20
which will be option no C
A $50 coat is put on sale for $35 find the percent of change
Answer:
70%
Step-by-step explanation:
To solve the equation you would do 35/50= ?/100
So step one would to be to multiply 35 by one hundred.
Then you divide by 50
then you should get 70.
so 70% is the answer
To calculate the percent change for a coat reduced from $50 to $35, you subtract the sale price from the original price, divide by the original price, and multiply by 100, resulting in a 30% decrease.
You first determine the amount of change in price, which is the original price subtracted from the sale price. In this case, the price decreased by $15 ($50 - $35). To find the percent change, divide the amount of change by the original price and then multiply by 100 to convert it to a percentage.
Percent Change = ($15 / $50) × 100
= 0.3 × 100
= 30%
Therefore, the coat was put on sale with a 30% decrease in price.
Isabella is making cookies. The recipe requires 3/4 of a cup of flour and 1/2 of a cup of sugar.
Which of the following is true?
A.
measure of flour > measure of sugar
B.
measure of flour < measure of sugar
C.
measure of flour = measure of sugar
Answer:The measure of the flour is greater than the measure of the sugar
Step-by-step explanation:
when a certain amount is divided into the ratio 2:3, the larger is $1200. What amount was shared?
A.$800.00
B. $400.00
C. $2000.00
D. $1600.00
The total amount shared was $2000.00
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.Ratio is denoted by "is to" (:) between the expressions.How to find what was the amount shared?According to the problem,
A certain amount is divided into the ratio 2:3.The larger amount is $1200We can say that the amount of money is divided in to $2x and $3x
Clearly 3x is larger and will represent $ 1200
∴ 3x = 1200
⇒ x = 400
∴ The other part will be $ 2x = $ 800
∴ Total amount shared was $ (800 + 1200) = $2000.00
So, option C is correct.
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Find the volume of each figure. A cube with s=3. Show your work . Simplify your answers.
Answer:
27 units^3
Step-by-step explanation:
A cube's volume is denoted
[tex]x^{3}[/tex]
where x is a side. 3 is the side so it is
[tex]3^{3}[/tex]
which is 27.
How do I know is this is a proportional relationship
Answer:
They are the same
Step-by-step explanation:
Notice how both 2's, 4's, 6's, and 8's are aligned. The arrows mean this could go on forever, meaning each tic mark would be proportionate. All numbers are even, as well. If you were to find slope, or create an equation, it would be proportionte.
Hope this helps!
I bet the boy can answer the question, with the work !
Answer:
n= 40
Step-by-step explanation:
(60-5)divided by 1 3/8 =n
Answer:
Number of albums in the crate are 40.
Step-by-step explanation:
Lets start the sum to form the equation as per language given.
As given number of albums = n
Therefore n albums will weigh = n×( 11/8) Pounds
Weight of the crate given = 5 pounds
So total weight of the crate including albums = weight of the crate + weight of albums.
So the equation will be 60 = 5 + n×11/8
8×60 = 8×(5+11n/8)
480 = 40 + 11n
11n = 480 - 40
11n = 440
n = 440÷11
n = 40
so number of albums in the crate will be 40.
18) Store A: $25 for a 45 minute lesson Store B: $30 for a 1 hour lesson Store C: $45 for a 1.5 hour lesson Store D: $80 for three 1 hour lessons Julie wants to purchase swim lessons for her son. There are four different stores that offer swim lessons. Based on the lowest cost per minute, which store has the BEST deal? A) Store A B) Store B C) Store C D) Store D
Answer:
Store D has the best deal
Step-by-step explanation:
We will divide cost per minutes
Store A: $25 for a 45 minute lesson
$25/45 minutes
$.5555555 per minute
Store B: $30 for a 1 hour lesson
1 hour = 60 minutes
$30/60
$.5 per minute
Store C: $45 for a 1.5 hour lesson
1.5 hours* 60 minutes/ hour = 90 minutes
$45/ 90
$.5 per minute
Store D: $80 for three 1 hour lessons
3 * 1 hour = 3 hours
3 hours * 60 minutes/ 1 hour = 180 minutes
$80/ 180 =
$.4444 per minute
After calculating the cost per minute for swim lessons at each store, Store D is revealed to have the best deal at approximately $0.44 per minute.
We need to calculate the cost per minute for each option Julie has. Here's the breakdown:
Store A: $25 for a 45-minute lesson = $25 / 45 minutes = approximately $0.56 per minute
Store B: $30 for a 1-hour lesson = $30 / 60 minutes = $0.50 per minute
Store C: $45 for a 1.5-hour lesson = $45 / 90 minutes = $0.50 per minute
Store D: $80 for three 1-hour lessons = $80 / 180 minutes = approximately $0.44 per minute
Comparing these rates, we see that Store D offers the lowest cost per minute for swim lessons. Therefore, the best deal would be with Store D.
i need help w this geometry problem
Answer:
D
Step-by-step explanation:
As the angle Known to us is (2y-3)°
Now
∠B = (2y-3)° (when two parralel lines are cut by another line then angles opposite are equal)
∠D=180-(2y-3)° (Because angle to the line is same as B and as on one line total angle is 180° one part equals to B so other equals to 180-∠B)
Similarly
∠Q=∠D = 180-(2y-3)°
Because interior angles of a line cutting by a same line will be equal
You are baking brownies. The recipe asks for 23 cup of walnuts. All you have is 13 cup. How many walnuts are you missing from the recipe?
You have 1 cup of walnuts missing.
You have 13 cup of walnuts missing.
none of these
You have 23 cup of walnuts missing.
How many thousands = 4,000 ones
I really need help on number one
Pls help I will mark brainliest
Answer:
1 12/13
Step-by-step explanation:
3 1/8 ÷ 1 5/8
We need to change the fractions to mixed numbers
3 1/8 = (8*3+1) /8 = 25/8
1 5/8 = (8*1+5)/8 =13/8
25/8 ÷ 13/8
We can use copy dot flip
25/8 * 8*/13
25/13
Now we change it back to a mixed number
13 goes into 25 1 time with 12 left over
1 12/13
Find the value of each variable and the measure of arc LM. The diagram is not drawn to scale.
Answer:
x = 90
y = 50
Arc LM = 100
Step-by-step explanation:
Arc MK = 180 degrees
<x = 1/2 Arc MK
<x = 90 degrees
<x + <y + 40 = 180 all angles in a triangle add to 180
90 + <y + 40 = 180
130 + < y = 180
Subtract 130 from each side
< y = 50
Arc LM
1/2 Arc Lm = <y
1/2 Arc LM = 50
Multiply by 2
Arc LM = 100
Answer by YourHope:
Hi! :)
x = 90
y = 50
Arc LM = 100
:)
The perimeter of the rectangle below is 220 units. Find the length of side AD.
Length AD= 4z
Length AB= 5z+2
The length of side AD is 48 units.
To find the length of side AD in terms of z, we can use the information given about the perimeter of the rectangle.
The perimeter (P) of a rectangle is given by the formula:
P=2×(Length+Width)
In this case, the length of the rectangle is AD (which is 4z) and the width is AB (which 5z+2).
So, the perimeter (P) is given by:
P=2×(4z+5z+2)
Given that the perimeter is 220 units, we can set up the equation:
220=2×(4z+5z+2)
Now, solve for z:
220=2×(9z+2)
Divide both sides by 2:
110=9z+2
Subtract 2 from both sides:
108=9z
Divide by 9:
z=12
Now that we have the value of z, we can find the length of side AD:
Length AD=4z
Length AD=4×12
Length AD=48
So, the length of side AD is 48 units.
Use elimination to solve the system
6x-4y=6
-6+3y=0
A. (5,6)
B.(-3,-6)
C.(1,0)
D.(4,-8)
Answer:
B. (-3, -6)
Step-by-step explanation:
(1) 6x - 4y = 6
(2) -6x + 3y = 0 Add (1) and (2)
-y = 6 Multiply each side by -1
y = -6 Substitute in (2)
-6x +3(-6) = 0 Remove parentheses
-6x – 18 = 0 Add 18 to each side
-6x = 18 Divide each side by -6
x = -3
The solution is (-3, -6).
how many x-intercepts does the graph of y=4x^2-12x+9
The graph of the equation y=4x²-12x+9 has exactly one x-intercept because the discriminant of the quadratic equation is zero, indicating that there is only one real root.
The graph of the equation y=4x²-12x+9 is a parabola. To determine the number of x-intercepts, we look for solutions to the equation obtained by setting y to zero: 0=4x²-12x+9. The x-intercepts are the points where the graph crosses the x-axis, which correspond to the real roots of the equation.
To find the roots, we can apply the quadratic formula, x = (-b \\u00b1 \\sqrt{b² - 4ac})/(2a), where a=4, b=-12, and c=9. In this case, the discriminant (the part under the square root) is b² - 4ac = (-12)² - 4(4)(9) = 144 - 144 = 0.
Since the discriminant is zero, there is exactly one real root, which means the parabola touches the x-axis at exactly one point. Therefore, the graph of y=4x²-12x+9 has one x-intercept.
100% of this force does work on the object. which one? A.) Arrow B
B.) Arrow C C.) Arrow A
Answer:
Arrow C
Step-by-step explanation:
As we can see that when we apply at arrow A the force is downward while the force acting by the board is upward which cancels the effect so no work will be done
Now about the Arrow B when we apply a force on it then a force will act and body will move so work will be done
we knot that
Work done = Force . Displacement
Work = Fd cos Ф
Here in B it will not be maximum because there will be an angle acting on it which is greater then 0 so it will not maximum
while in case of arrow C the angle between force and displacement is 0
as cos(0)=1
so work done = Fd which is the maximum value
Help plz.....
64 divide 2 x 8 + 12
Answer:
268
Step-by-step explanation:
64 divide 2 times 8 plus 12
32 times 8 plus 12
32 times 8
256 plus 12
268
solve 4-2(2x-7)= -6
A. -6
B. -5
C. -3
B. 6
Answer:
x=6
Step-by-step explanation:
4-2(2x-7)= -6
Distribute the -2
4 -2*2x -2*-7 =-6
4 -4x+14 = -6
Combine like terms
18 -4x = -6
Subtract 18 from each side
18-18 -4x = -6 -18
-4x = -24
Divide each side by -4
-4x/-4 = -24/-4
x =6
Which is the approximate solution for the system of equations 3x+4y=2 and 4x+y=-4
A(-1.4,1.5)
B(1.4,1.5)
C(0.9,-0.2)
D(-0.9-0.2)
[tex]3x+4y=2\qquad\text{subtract 3x from both sides}\\\\4y=-3x+2\qquad\text{divide both sides by 4}\\\\y=-\dfrac{3}{4}x+\dfrac{2}{4}\to y=-\dfrac{3}{4}x+\dfrac{1}{2}\\\\for\ x=0\to y=-\dfrac{3}{4}(0)+\dfrac{1}{2}=0+\dfrac{1}{2}=\dfrac{1}{2}\to\left(0,\ \dfrac{1}{2}\right)\\\\for\ x=2\to y=-\dfrac{3}{4}(2)+\dfrac{1}{2}=-\dfrac{3}{2}+\dfrac{1}{2}=-\dfrac{2}{2}=-1\to(2,\ -1)\\--------------------------------\\[/tex]
[tex]4x+y=-4\qquad\text{subtract 4x from both sides}\\\\y=-4x-4\\\\for\ x=0\to y=-4(0)-4=0-4=-4\to(0,\ -4)\\\\for\ x=-1\to y=-4(-1)-4=4-4=0\to(-1,\ 0)\\\\Answer:\ \boxed{A.\ (-1.4,\ 1.5)}[/tex]
The approximate solution for the system of equations 3x + 4y = 2 and 4x + y = –4 will be (–1.4, 1.5). Then the correct option is A.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equations are given below.
3x + 4y = 2 …1
4x + y = -4 …2
From equation 2, we have
y = –4 – 4x
Put in equation 1, we have
3x + 4(–4 – 4x) = 2
3x – 16x – 16 = 2
–13x = 18
x = –18/13
x = –1.38
x ≈ –1.4
Then the value of y will be
y = –4 – 4(–1.38)
y = 1.52
y ≈ 1.5
Then the correct option is A.
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