Answer:
If 10 minutes block, then it can be rented for 20 minutes. If no blocks, then 27.27 minutes
Step-by-step explanation:
Initial setup cost is $6.
Every 10 minutes, $5.5 is charges, so each minute [tex]\frac{5.5}{10}=0.55[/tex] is charged.
Let time used be t, so we can set up an equation as:
21 = 6 + 0.55t
Where t is in minutes
we solve for t to find out how many minutes we can rent for $21:
[tex]21 = 6 + 0.55t\\21-6=0.55t\\15=0.55t\\t=\frac{15}{0.55}=27.27[/tex]
since it is charged PER 10 MINUTES, so we can rent it for 10, 20 , 30 minutes etc.
WE CANNOT RENT FOR 30 minutes as we dont have enough money (only for fractional amount of a little over 27 minutes). Thus, we will have to have some money left over and rent for 20 minutes.
For $21, you can rent approximately 20 minutes of time at the local copy center when there's a $6 setup charge and each 10-minute period costs an additional $5.50.
Explanation:The question is asking how much time can be rented for $21 at a local copy center, where there's a $6 setup charge and an additional $5.50 for every 10 minutes. To figure this out, we first need to subtract the setup charge from the total amount of money that can be spent. So, $21 - $6 = $15. Next, we need to see how many 10 minute increments can be rented with $15. Since each 10 minute increment costs $5.50, we divide $15 by $5.50 to get approximately 2.72. Since we can't rent time in fractions of a minute, we round this down to 2. Therefore, we can rent about 20 minutes of time for $21.
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Assessment 1
4. Use the recipe shown in the table to answer the questions below.
Use pictures, tables or number
sentences to solve the task.
Grandma's Recipe for Su
ecipe for Sugar Cookies
1% cups butter
2 cups sugar.
4 eggs
4 teaspoon baking powder
1 YA cups flour
14 teaspoon salt
a) How many cups of sugar are needed for each egg? How do you know?
a)Each egg requires 0.5 cups of sugar in Grandma's recipe.
b)The ratio of baking powder to salt is 3:1.
a) The recipe uses 2 cups of sugar and 4 eggs. To find out how many cups of sugar are needed per egg, we divide the total cups of sugar by the number of eggs:
2 cups of sugar / 4 eggs = 0.5 cups of sugar per egg
So, 0.5 cups of sugar are needed for each egg.
b) Ratio of baking powder to salt
The recipe calls for 3/4 teaspoon of baking powder and 1/4 teaspoon of salt. To find the ratio of baking powder to salt, we divide the amount of baking powder by the amount of salt:
(3/4) teaspoon of baking powder / (1/4) teaspoon of salt = 3
Thus, the ratio of baking powder to salt is 3:1. This means there is three times as much baking powder as salt in the recipe, which aligns with your sister's observation.
The complete question is:
Use the recipe shown in the table to answer the questions below. Use pictures, tables or number sentences to solve the task. Grandma's Recipe for Sugar Cookies 1/2 cups butter 2 cups sugar 4 eggs 34 teaspoon baking powder 1 % cups flour 14 teaspoon salt a) How many cups of sugar are needed for each egg? How do you know? Your sister notices that she needs three times as much baking powder as salt in this recipe. b)What is the ratio of baking powder to salt? Explain your reasoning in words.
The difference between two times six and five
Answer:
The difference between 2 × 6 and 2 × 5 is ...
2 × 5 = 10
And,
2 × 6 = 12
So if you subtract 12 - 10
= 2
Therefor, the difference is by 2
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The difference between two times six and five is calculated by first multiplying two by six to get twelve, then subtracting five from twelve, resulting in seven.
The student has asked about the difference between two times six and five. To solve this, we first calculate two times six, which gives us twelve. Then, we subtract five from twelve to find the difference. Therefore, the calculation we need to make is 12 - 5 = 7.
So, the difference between two times six and five is seven.
Which of the following are right triangles? A) Triangle ABC: AB=76 BC=357 AC=365
B) Triangle ABC: AB=123 BC=836 AC=845
ANSWER
AB=76 BC=357 AC=365 This triangle is a right triangle.
EXPLANATION
We use the Pythagoras Theorem to determine whether the triangles are right triangles.
According to this theorem, the square of the hypotebuse is equal to the sum of the squares of the two shorter legs.
We have:
AB=76 BC=357 AC=365
[tex] {365}^{2} = {76}^{2} + {357}^{2} [/tex]
133225=5776+127449
133225=133225
For the second triangle, we have;
B) Triangle ABC: AB=123 BC=836 AC=845
845²=123²+826²
714025=15129+682276
714025≠697405
The first triangle is a right triangle
Answer:
the firsst one
Step-by-step explanation:
here are the ingredients for making a trifle for four people. 120g strawberry jelly,8 sponge fingers, 420ml custard and 180g tinned fruit. Kevin is going to make a trifle for 3 people. work how much of each ingredients he needs
Answer:
For 3 people Kevin would need 90g of strawberry jelly, 6 sponge fingers, 315ml of custard and 135g of tinned fruit.
Step-by-step explanation:
To work this out you would need to work out how many ingredients would be needed for 1 person, so you would need to divide each ingredient amounts by 4. (For example for the strawberry jelly you would do 120÷4 which is 30).
Then, to work out how many ingredients would be needed for 3 people you would need to multiply the ingredient amounts by 3. (Like 30×3 is 90).
in a triangle there is three angles..one is 32° other is 116° what is the third one?
Answer:32 degrees
Step-by-step explanation:a triangle total is 180 degrees. So subtract 116 and 32 by 180 to get 32
Answer: 32°
Step-by-step explanation: Hello There! The Answer is 32°. This is because when we add up 116° and 32° we get 148° to get the Answer we subtract 148° from 180° and we get a difference of 32°.
What is the product of 2x + y and 5x – y + 3?
Answer:
The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y
Step-by-step explanation:
The product of the two expressions can be expressed mathematically as;
(2x +y) (5x -y +3)
To obtain the product of these expressions, we simply expand the brackets as follows;
2x(5x -y +3) + y(5x -y +3)
= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y
= 10x^2- 2xy + 5xy + 6x - y^2 + 3y
= 10x^2+ 3xy + 6x - y^2 + 3y
The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y
Answer: 10x^2 +3xy + 6x + -1y^2 + 3y
Step-by-step explanation:
write the following parametric equations as a polar equation x=t^2 y=2t
Answer:
[tex]r=4\csc \theta \cot\theta[/tex]
Step-by-step explanation:
The given parametric equations are;
[tex]x=t^2[/tex]
[tex]y=2t[/tex]
We make t the subject in the second equation to get:
[tex]t=\frac{y}{2}[/tex]
We substitute into the first equation to get:
[tex]x=(\frac{y}{2})^2[/tex]
We use the relation:
[tex]x=r\cos \theta[/tex] and [tex]y=r\sin \theta[/tex]
[tex]r\cos \theta=(\frac{r\sin \theta}{2})^2[/tex]
[tex]r\cos \theta=\frac{r^2\sin^2 \theta}{4}[/tex]
[tex]r=4\csc \theta \cot\theta[/tex]
An equation is formed of two equal expressions. The polar form of parametric equations x=t² and y=2t is r = 4cosecθ cotθ.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The following parametric equation x=t² and y=2t in the form of a polar equation can be written as,
y=2t
t = y/2
Substituting the value of y from the second equation in the first,
x = (y/2)²
Using the basic relation we can write, the value of x and y as,
x = r cosθ
y = r sinθ
substitute the value of x and y,
r cosθ = [(r sinθ)/2]
r sinθ = (r²sin²θ)/4
r = 4cosecθ cotθ
Hence, the polar form of parametric equations x=t² and y=2t is r = 4cosecθ cotθ.
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Given that -5 < -3, which statement is not true?
-5 is to the left of -3 on the number line.
-3 is less than -5,
-3 > -5
-3 is to the right of -5 on the number line.
Answer:
- 3 is less than - 5 is not true
Step-by-step explanation:
Numbers to the right of numbers on the number line are greater.
Numbers to the left of numbers on the number line are less
- 3 is to the right of -5 on the number line and is greater than - 5
Which number can each term of the equation be multiplied by to eliminate the decimals before solving? –m + 0.02 + 2.1m = –1.45 – 4.81m
Answer:
100
Step-by-step explanation:
The given equation is;
–m + 0.02 + 2.1m = –1.45 – 4.81m
The highest decimal places is 2.
This implies that, we must multiply each term of the equation by [tex]10^2=100[/tex] before solving in order to eliminate the decimal.
In that case the equation becomes;
–100m + 2 + 210m = –145 – 481m
Hence the number is 100
Answer:
easy answer 100
Step-by-step explanation:
Does anyone know this
Answer:
a2+1)-(4+2a2)
Step-by-step explanation:
to solve this, we need to get rid of the brackets as follow:
3a2+1-4-2a2
ading the common terms we have:
a2 - 3
that is all.
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Gisela cuts an apple into 8 pieces of the same size. What is the angle measure of each piece?
Answer:
45°
Step-by-step explanation:
Imagine a waistband stretched around the middle of an apple, horizontally.
The waistband could be represented by the circumference of the apple, with a central angle of 360°.
Divide this central angle by 8, obtaining 45°. Each piece of apple is measured by a central angle of 45°.
To find the angle measure of each of the 8 pieces of the apple, divide the total degrees in a circle by 8, resulting in each piece having an angle measure of 45 degrees.
To find the angle measure of each piece, we divide the circle into 8 equal slices.
Each slice corresponds to an angle of 360 degrees (the total degrees in a circle) divided by 8, which equals 45 degrees for each piece.
Therefore, the angle measure of each piece of the apple is 45 degrees.
In the formula d=/(x2-x1)^2+(y2-y1)^2 , how does each subtraction expression relate to the Pythagorean theorem?
Answer:
A
Step-by-step explanation:
I don't think you need this
Answer:
option A
Step-by-stevvp explanation:
In the formula [tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
The formula is used to find the distance between two points
(x2-x1) gives the length of one leg
(y2-y1) gives the length of another leg
In a right angle triangle , Pythagorean theorem is [tex]c=\sqrt{a^2 + b^2}[/tex]
where a and b represents the sides of the triangle
Each subtraction expression in the formula represents the leg of the right angle triangle with the hypotenuse of length d
log4(x+2)-log4(x+3)=-1
Answer:
Step-by-step explanation:
I take it that the base of the log is 4.
So the question can be written as
log_4 [(x+2)/(x + 3)] = -1
If you take the antilog of this, you get
(x + 2)/(x+3) = 4^-1 = 1/4
Now Cross Multiply
4*(x + 2) = 1*(x + 3) Remove the brackets on both sides
4x + 8 = x + 3 subtract x from both sides.
4x - x + 8 = x - x + 3 Combine
3x + 8 = 3 Subtract 8 from both sides
3x = 3 - 8 Combine
3x = - 5 Divide by 3
x = - 5/3
Logan can read at a rate of 2/3 page per minute. At that rate, how many pages can he read in 2 hours?
Final answer:
Logan can read 80 pages in 2 hours.
Explanation:
To find out how many pages Logan can read in 2 hours, we need to calculate the total number of minutes in 2 hours, which is 120 minutes. Then, we can multiply the rate at which Logan reads, which is 2/3 page per minute, by the total number of minutes to get the answer.
So, Logan can read:
(2/3) x 120 = 80 pages
Therefore, Logan can read 80 pages in 2 hours.
Which expression is equivalent to...? Assume... screenshots attached, please help!
Answer:
[tex]\frac{\sqrt[3]{5} }{3x}[/tex]
Step-by-step explanation:
Ok, let's do this step by step....
[tex]\sqrt[3]{\frac{10x^{5} }{54x^{8} } }[/tex]
Let's first simplify the x's:
[tex]\sqrt[3]{\frac{10}{54x^{3} } }[/tex]
Then we breakdown the 54 as 2 * 27 then simplify with the 10 above.
[tex]\sqrt[3]{\frac{10}{2 * 27x^{3} } } = \sqrt[3]{\frac{5}{27x^{3} } }[/tex]
Now, we can rewrite this as the following and solve the bottom part:
[tex]\frac{\sqrt[3]{5} }{\sqrt[3]{27x^{3} } } = \frac{\sqrt[3]{5} }{3 \sqrt[3]{x^{3} } } = \frac{\sqrt[3]{5} }{3x}[/tex]
The solution is
[tex]\frac{\sqrt[3]{5} }{3x}[/tex]
Kyle fills the candle
mold with liquid candle wax. If the
candle has a volume of 99 cubic
inches, what is the width of the
mold?
1*3=3
99/3= 33
1*3*33=99
Answer:33in
Multiply the polynomials (8x^2+6x+8)(6x-5) Apex
Answer:
[tex]48x^3+76x^2+78x+40[/tex]
Step-by-step explanation:
[tex](8x^2+6x+8)(6x+5)\\\\48x^3+36x^2+48x+40x^2+30x+40[/tex]
Now that we have distributed the values, we must now combine like terms
[tex]48x^3+36x^2+48x+40x^2+30x+40\\\\48x^3+(36x^2+40x^2)+(48x+30x)+40\\\\48x^3+76x^2+78x+40[/tex]
Answer: 48x^3 -4x^2 + 18x -40
Step-by-step explanation: multiply 8x^2 by 6x and -5 ➡ 48x^3 - 40x^2
multiply 6x by 6x and -5 ➡ 36x^2 -30x
multiply 8 by 6x and -5 ➡ 48x -40
now add the like terms
48x^3 - 40x^2 + 36x^2 -30x + 48x -40 ➡48x^3 -4x^2 + 18x -40
What is the range of the function y=cot(x)?
A) all real numbers
B) all real numbers except pi/2+n pi, where n is any integer
C) all real numbers except n pi/2, where n is any integer
D) all real numbers except n pi, where n is any integer
Answer:
A. all real numbers
Step-by-step explanation:
The range of the function y=cot(x) is (A) all real numbers.
Can anyone help me with this
Answer:
ice cream = 3.80$
cup cake = 4.25$
donuts = 2.5$
Step-by-step explanation:
a=ice cream
b = cup cake
c = donuts
we can write the following equations given from the picture:
a+b+b=12.30$ equation 1
b+c+a=10.55$ equation 2
b+c+c =9.25$ equation 3
using equation 1 we have:
2b+a=12.30
a=12.30-2b
using equation 3 we have:
2c+b=9.25
c=(9.25-b)/2
using equation 2 we have:
b+((9.25-b)/2)+12.30-2b=10.55
((2b+9.25-b)/2) - 2b = 10.55-12.30
((2b+9.25-b-4b)/2) =-1.75
-3b+9.25=2*(-1.75)
-3b= -3.5-9.25
-3b=-12.75
b=12.75/3
so we have b= 4.25$ = cup cake
we have:
c=(9.25-b)/2= (9.25-4.25)/2
c=2.5$= donuts
a= 12.30-2b= 12.30-2*(4.25)
a= 12.30-8.5 = 3.8$ = ice cream
daniel y sus amigos van a un parque de diversiones para subirse a la bola de fuego q cuesta $5 y a los carros chocones q cuestan $1 menos . si daniel sube un total de 11 veces y gasta $50 ¿cuantas veces subio a cada atraccion?
Answer:
6 & 5
Step-by-step explanation:
Daniel and his friends go to an amusement park to get on the fireball that costs $ 5 and the bumper cars cost $ 1 less. If Daniel climbs a total of 11 times and spends $ 50, how many times did he go up to each attraction?
costo de la bola de fuego: $5
costo de los coches de choque: 5 - 2 = $4
número de veces que montó bola de fuego = b
número de veces que montó de choque: m
b + m = 11 --> b = 11 - m
5b + 4m = 50
5(11 - m) + 4m = 50
55 - 5m + 4m = 50
m = 5
b + 5 = 11
b = 6
In a class experiment, Debra finds that the probability that a student has more than three siblings is 3/25 . If the school population is 350, how many students would we expect to have more than three siblings, based on Debra's experiment? A)15 B)25 C)35 D)42
Answer:
choice D) 42 is the final answer.
Step-by-step explanation:
Population of the school = 350
Debra finds that the probability that a student has more than three siblings is [tex]=\left(\frac{3}{25}\right)[/tex]
Then the number of students that we expect to have more than three siblings, based on Debra's experiment [tex]=350\cdot\left(\frac{3}{25}\right)[/tex]
[tex]=\left(\frac{1050}{25}\right)[/tex]
[tex]=42[/tex]
Hence choice D) 42 is the final answer.
Factor this expression 2
Answer:
Step-by-step explanation:
16x^4+56x^2+49
(4x^2+7)^2
asap here plz I'm lost at this equation
Answer:
I believe the answer is C
Hope This Helps! Have A Nice Day!!
Answer:
y= 2
Step-by-step explanation:
A baker had eighteen boxes for donuts. He ended up making seven hundred sixty-three donuts and splitting them evenly between the boxes. How many extra donuts did he end up with?
Answer:
7
Step-by-step explanation:
Simplify this expression: (3s13)(9s-5)
Answer: 39s(9s-5)
Step-by-step explanation:
(3s*13) (9s-5)
remove the parenthesis ex: (a)=a
3s*13 (9s-5)
Multiply the numbers
39s(9s-5)
Step-by-step explanation:
[tex](3s^{13})(9s-5)\qquad\text{use the distributive property}\ a(b-c)=ab-ac\\\\=(3s^{13})(9s)-(3s^{13})(5)\\\\=27s^{14}-15s^{13}[/tex]
Write in vertex form y= -3x^2-18x-31
Answer:
I'm not sure if your asking for an entire equation but the points for the vertex would be (-3,-4)
ANSWER
[tex]y = - 3( {x + 3)}^{2} - 4[/tex]
EXPLANATION
The given function is
[tex]y = - 3 {x}^{2} - 18x - 31[/tex]
Factor -3
[tex]y = - 3( {x}^{2} + 6x) - 31[/tex]
Add and subtract the square of half the coefficient of x.
[tex]y = - 3( {x}^{2} + 6x + {3}^{2} ) - - 3( {3)}^{2} - 31[/tex]
[tex]y = - 3( {x}^{2} + 6x + {3}^{2} ) + 27 - 31[/tex]
Apply perfect squares,
[tex]y = - 3( {x +3)}^{2} - 4[/tex]
The vertex form is:
[tex]y = - 3( {x +3)}^{2} - 4[/tex]
A bicycle has a listed price of $519.99 before tax. If the sales tax rate is 7.75%, find the total cost of the bicycle with sales tax included
Answer:
$560.29
Step-by-step explanation:
To find the total price, first, find out how much of $519.99 is 7.75%
To do this convert %7.75 into a decimal [divide by 100]
7.75% = 0.0775
Now multiply 0.0775 by $519.99
519.99 x 0.0775 = 40.299225
Since 40.299225 is an amount of money, round it to the nearest hundreth in cents.
40.299225 = 40.30
Now add the sales tax and original price.
$40.30 + $519.99 = 560.29
So, the cost of the bicycle after sales tax is $560.29
Find the Value of X.
Answer: 5
Step-by-step explanation: The dot in the middle of the circle is the center point of the circle. This means that it bisects every point from one edge to the other cutting through the middle. The two vertical red lines in the middle of the circle indicate they are the same measure. knowing this and that the angle interiors are 90 degrees, we can conclude that x is the same length as the 5 diagonal from it.
Answe is 5..
The (.) is the center of the circle..
The (|) mesns these lines are equal..
The angles also are right angles and equal..
Means the length ofvthis line also equals the other line = 5
Find the exact value of sec 120°.
For this case we have that by definition:
[tex]Sec (a) = \frac {1} {cos (a)}[/tex]
Then, we can rewrite the expression as:
[tex]Sec (120) = \frac {1} {cos (120)}[/tex]
[tex]cos (120) = cos (180-60) = - cos (60) = - \frac {1} {2}[/tex]
So:
[tex]Sec (120) = \frac {1} {- \frac {1} {2}}\\Sec (120) = - 2[/tex]
Answer:
-2
The exact value of sec 120° is -2 as secant function is the reciprocal of the cosine function,
The secant function is the reciprocal of the cosine function, so we can find sec 120° by finding the reciprocal of cos 120°.
First, let's determine the value of cos 120°.
We know that cos 120° is negative in the unit circle, so we need to find the cosine of the reference angle, which is 60°.
In the unit circle, at 60°, the cosine value is 1/2.
Since cos 120° is negative, the value is -1/2.
Now, we can find the exact value of sec 120° by taking the reciprocal of -1/2:
sec 120° = 1 / (cos 120°) = 1 / (-1/2) = -2.
Therefore, the exact value of sec 120° is -2.
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Evaluate the expression and enter your answer in the box below |0|
Answer:
0
Step-by-step explanation:
When put in between these lines || a negative number becomes positive and a positive number stays the same.