Answer: The cost of a single group lesson is $5 and a single private lesson is $25
Step-by-step explanation:
Let the cost of a single group lesson be y.
Let the cost of a single private lesson be z.
A karate school offers a package of 12 group lessons and 2 private lessons for $110. This can be written as:
12y + 2z = 110 ..... equation i
It also offers a package of 10 group lessons and 3 private lessons for $125. This can be written as:
10y + 3z = 125 ...... equation ii
Combining equation i and ii
12y + 2z = 110 ..... equation i
10y + 3z = 125 ...... equation ii
12y + 2z = 110 × (3)
10y + 3z = 125 × (2)
36y + 6z = 330 ....... equation iii
20y + 6z = 250 ...... equation iv
Subtract equation iv from iii
16y = 80
y = 80/16
y = 5
From equation ii
10y + 3z = 125
10(5) + 3z = 125
50 + 3z = 125
3z = 125 - 50
3z = 75
z = 75/3
z = 25
The cost of a single group lesson is $5 and a single private lesson is $25
A group lesson costs = $5.
A private lesson costs = $25.
Let a group lesson costs = $x
A private lesson costs = $y.
According to the question:
12x + 2y = 110
10x + 3y = 125
Solving them we get x = 5, y = 25
Learn more: https://brainly.com/question/8806877
The owner of two grocery stores recorded the number of shoppers at each store for 10 days. On day 5, Store B had a sale. The number of shoppers per day at the stores are shown in the table.
Answer:
Step-by-step explanation:
IIncrease decrease decrease
I need help with this question
Answer: (2)
Step-by-step explanation:
The probability of a dart landing in the shaded area is approximately
Answer:
79%
Step-by-step explanation:
Area of rectangular region = 3*6 = 18 sq inches
Diameter of circle = 3 in
-> radius (r) = 3/2 = 1.5 inches
[tex]Area \: of\:both \: circular \: regions \\ =2( \pi {r}^{2} ) \\ =2( 3.14 \times {1.5}^{2} ) \\ = 14.13 \: {in}^{2} \\ \\ P(dart \: landing \: in \: the \: shaded \: area) \\ = \frac{Area \: of \: both \: circular \: regions}{Area \: of \: rectangular \: region} \\ = \frac{14.13}{18} \\ = 0.785 \\ \approx \: 0.79\\=79\%[/tex]
A music producer is making a list of vocalists needed to record an album. For each day of recording, a different number of vocalists are needed. The first day, six vocalists are needed. Each day after that, the number of vocalists needed doubles. The producer must pay by the day for each vocalist. To find the total price, the producer needs to know how many vocalists sang in total at the end of the 10th day. Use a series to find the sum after the 10th day. 114 150 3,066 6,138
Answer:
6,138
Step-by-step explanation:
Given the following:
Vocalist needed :
First day (a) = 6
For subsequent days : number doubles
Using the relation. :
Sn = a(r^n -1)/(r -1)
Where a = first term = 6
r = common ratio = r3/r2 = r4/r3
Since number doubles after each consecutive day, then ; r = 2, n = 10
Sn = 6(2^10 -1)/(2 -1)
Sn = 6(1024 - 1) / 1
Sn = 6144 - 6
Sn = 6138
(4/25) to the power of negative 1/2
Answer:
5/2
Step-by-step explanation:
[tex] {( \frac{4}{25} )}^{ - \frac{1}{2} } [/tex]
Apply indices rule and Simplify
[tex] \frac{1}{ {( \frac{4}{25} )}^{ \frac{1}{2} } } = \frac{1}{ \sqrt{ \frac{4}{25} } } = \frac{1}{ \frac{2}{5} } \\ = \frac{1}{1} \div \frac{2}{5} [/tex]
[tex] = \frac{1 \times 5}{1 \times 2} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} [/tex]
You are adding orange juice to a 10-liter capacity jar. The equation 3x – 2y = -5 relates the amount of juice y, in liters, with the number of minutes, x, you add juice. How much juice was in the jar to start?
At what rate is the jar filled?
Answer: 5/2 liters (or 2.5 liters) of juice were in the jar to start.
The jar was filled at a rate of 5 minutes.
Step-by-step explanation: Firstly, rearrange the equation so that y = mx + b. If you move the x over, you get -2y = -3x -5. To get rid of the -2 in front of the y, divide both sides by -2. Then you get y = 3/2x + 5/2.
The amount of juice in the jar initially is b, also known as the y-intercept.
If you look at the equation, you see that 5/2 is our y-intercept which means the jar initially had 5/2 liters of juice at the start (this is the same as 2.5 liters because 5 divided by 2 is 2.5).
To find the rate at which the jar was filled, you need to solve for x. Plug in the 10 liters for the y and solve.
y = 3/2x + 5/2
10 = 3/2x + 5/2
Now, subtract 5/2 from both sides.
7.5 = 3/2x
Divided both sides by 3/2 to get x alone, which will give you the number of minutes in which the jar was filled.
5 = x
The jar was filled at a rate of 5 minutes.
Item 21
Question 1
Write and solve an inequality that represents the value of x.
Area <30 cm2
Answer:
1st: 5x
2nd: 6ft
Step-by-step explanation:
I really don't know how just got the answer right.
[tex]\sqrt{9-4\sqrt{5} }\:+\sqrt{5}
The answer is 2. Solve if you can. It is 100% correct.
[tex]\\ \rm\Rrightarrow \sqrt{9-4\sqrt{5}}+\sqrt{5}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{9-8.8}+2.2[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{0.2}+2.2[/tex]
[tex]\\ \rm\Rrightarrow 0.3+2.2[/tex]
[tex]\\ \rm\Rrightarrow 2.5[/tex]
[tex]\\ \rm\Rrightarrow 2(approx)[/tex]
Answer:
Algebraic "proof" that the solution is 2:
[tex]\sqrt{9-4\sqrt{5} }\:+\sqrt{5}[/tex]
[tex]=\sqrt{4-4\sqrt{5}+5 }\:+\sqrt{5}[/tex]
[tex]=\sqrt{2^2-4\sqrt{5}+(\sqrt{5})^2 }\:+\sqrt{5}[/tex]
[tex]=\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5}[/tex]
[tex]=(2-\sqrt{5})+\sqrt{5}[/tex]
[tex]=2[/tex]
However, this is not the correct mathematical solution to the problem.
The order of operations for [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] dictate that the operation inside the parentheses must be carried out first.
As [tex]2-\sqrt{5} < 0[/tex], then [tex](2-\sqrt{5})^2[/tex] will always be positive.
If [tex](2-\sqrt{5})^2[/tex] is always positive, then [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] will always be positive.
As √5 > 2 and [tex]\sqrt{(2-\sqrt{5})^2 } > 0[/tex] then [tex]\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5} > 2[/tex]
So mathematically, the actual solution to the expression is 2.47 (nearest hundredth) not 2.
Mrs. Lovejoy makes flower arrangements. She has 36 red carnations, 60 white carnations, and 72 pink carnations. Each arrangement must have the same number of each color. What is the greatest number of arrangements she can make if she uses every carnation?
Answer:
12 arrangements
Step-by-step explanation:
We solve this question using the Greatest Common Factor method.
We are told that:
She has 36 red carnations, 60 white carnations, and 72 pink carnations.
The same number of each item should be in each basket.
The greatest number of baskets is calculated as follows:
Step 1
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Step 2
We Identify the number that is greatest and common amongst 36,60, and 72
This is 12.
Then the greatest common factor is 12
Therefore, the greatest number of arrangements she can make if she uses every carnation is 12 arrangements
pls answer the question attached.
I WILL MARK U BRAINLIST
Answer:
area = 84 cm²
Step-by-step explanation:
the quadrilateral is made up of 2 triangles ABD and BDC
area of Δ ABD = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
A = [tex]\frac{1}{2}[/tex] × BD × AE = [tex]\frac{1}{2}[/tex] × 14 × 7 = 7 × 7 = 49 cm²
area of Δ BDC = [tex]\frac{1}{2}[/tex] × BD × CF = [tex]\frac{1}{2}[/tex] × 14 × 5 = 7 × 5 = 35 cm²
area of ABCD = 49 + 35 = 84 cm²
Use the distributive property to simplify the
expression.
8(3 + 4) = 24+ ?
Answer:
32
Step-by-step explanation:
8(3 + 4) ← multiply each term in the parenthesis by 8
= 8(3) + 8(4)
= 24 + 32
Evaluate... k/2 + 9 = 30
Answer:
K = 42
Step-by-step explanation:
K/2 = 21
2* k/2 =2*21
k=42
Please solve the question. Unit 10: circles homework 2: Central angles, arc measures, and arc length.
The central angle (127 degrees) is the angle at point K
The measures of JL and JML are 127 and 233 degrees, respectively
How to determine the measures of angles JL and JML?From the complete question, we have:
JL = 127 degrees.
The sum of angles at a point is 360 degrees
So, we have:
JML + 127 = 360
Subtract 127 from both sides
JML = 233
Hence, the measures of JL and JML are 127 and 233 degrees, respectively
Read more about circles and arcs at:
brainly.com/question/25305793
The temperature at noon on a cold winter day was −14 3/4 °F. By evening, the temperature had dropped to −18 1/4 °F. By how much did the temperature change?
Answer:
temperature decreased by -3.5 degrees
Step-by-step explanation:
-14 3/4 = -14.75
-18 1/4 = -18.25
-14.75 + X = -18.25
X = -3.5 or -3 2/4
find the value of x will mark brainliest and all tht jazz
Answer:
x = 20
Step-by-step explanation:
these are alternate interior angles, which means they're equal.
you can use that information to make this equation:
x + 40 = 3x
subtract x from both sides
40 = 2x
divide both sides by 2
20 = x
add the following polynomials (2x + 5) + (-1x -4) Answer options: 3x + 9, 3x + 1, 1x + 1, 1x + 9
Answer:
1x+1
Step-by-step explanation:
just open the parentheses
Factor the polynomial completely using the x method. x2 16x 48 an x-method chart shows the product a c at the top of x and b at the bottom of x. above the chart is the expression x squared 16 x 48. which equivalent four-term polynomial can be created using the x method? x2 8x 8x 48 x2 – 12x – 4x 48 x2 12x 4x 48 x2 – 8x – 8x 48
The equivalent four-term polynomial which can be created using the x method is,
[tex]x^2 +12x +4x+ 48[/tex]
How to find factor of polynomial using X method?The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result. X-method is the method to find the factors of the polynomial equation.
The polynomial equation is given as,
[tex]x^2 +16x +48[/tex]
An x-method chart shows the product a c at the top of x and b at the bottom of x for the standard polynomial equation. The standard polynomial equation can be given as,
[tex]ax^2+bx+c[/tex]
Comparing the given equation with standard polynomial equation, we get,
[tex]a=1\\b=16\\c=48[/tex]
The x method chart is attached below for the given equation.
The terms 16 x can be divided into the two terms 12x and 4x using the X-method. Thus the equation will become,
[tex]x^2 +12x +4x+ 48[/tex]
Thus, the equivalent four-term polynomial which can be created using the x method is,
[tex]x^2 +12x +4x+ 48[/tex]
Learn more about the X method here;
https://brainly.com/question/24379507
Answer:
C. x2 + 12x + 4x + 48
The base of a triangle is 26cm less than the height of the triangle. What is the area of the triangle in square centimeters? brainly
How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4.5 cm? round your answer to the nearest tenth. use 3.14 for pi. 0.3 cm 0.7 cm 2.9 cm 7.1 cm
The arc length of the sector is 7.065 approximately 7.1 cm. Then the correct option is D.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The central angle of π/2 radians in a circle with a radius of 4.5 cm.
Then the arc length will be
[tex]\rm Arc \ length = \dfrac{\pi /2}{2 \pi} * 2*\pi * 4.5\\\\\\Arc \ length = \dfrac{1}{2} * 3.14*4.5\\\\\\Arc \ length = 7.065[/tex]
Then the arc length is 7.065 approximately 7.1 cm. Then the correct option is D.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
D is the answer
Step-by-step explanation:
No Reason just try it out
Suzy has 3 apples and 2 cherries how much fruit does she have?
Answer:
5
Step-by-step explanation:
3+2=5
✎Question:.
[tex]Suzy \: has \: 3 \: apples \: and \: 2 \: cherries \: how\: much \: fruit \: does \: she \: have?[/tex]
✎Given:
3 apples2 cherries✎Answer:
Total fruits=apples+cherries
=2+3
=5✓
Marcos mixes 504 ounces of lemonade. he wants to fill the 14 cups he has with equal amounts of lemonade how much lemonade should he put in each cup/
Answer:
36
Step-by-step explanation:
Take 504 ounces of that lemonade and divide that into 14 cups.
And you get 36 ounces for each cup.
Answer:
36
Step-by-step explanation:
504 divided by 14 = 36
Solve x - 2. 6 Greater-than-or-equal-to 9. 4 and graph the solution on the number line. Which statements are true? Check all that apply. X Greater-than-or-equal-to 12 x Greater-than-or-equal-to 6. 8 A closed circle is used on the graph. An open circle is used on the graph. The arrow on the graph points left. The arrow on the graph points right.
Answer:
X Greater-than-or-equal-to 12 A closed circle is used on the graph. The arrow on the graph points right.Step-by-step explanation:
This one-step inequality can be solved by adding the opposite of the constant that is added to x. A number line graph of the solution is attached.
x -2.6 ≥ 9.4
x ≥ 12.0 . . . . . . add 2.6 to both sides
The "greater than" relation means that numbers larger than 12 will be included in the solution set. Shading of the number line will be to the right of 12.
The "or equal to" relation means that 12 itself is included in the solution set. This is indicated by a closed circle at 12 on the graph.
The true statements are ...
X Greater-than-or-equal-to 12 A closed circle is used on the graph. The arrow on the graph points right.Answer:
A C F are the answers for the question
There are 40 cows and 15 chicken. Compare the number of cows to the number of chicken. Write you answer three ways. Your answer
Answer:
they're are more cows than chickens, they're less chickens than cows, the number of cows is 25 more than the number of chickens
Step-by-step explanation:
hope this helped love!
James has read 108 pages of a book in 3 days. At that rate, how many days would it take him to read 576 pages of the book?
Answer:
16 days
Step-by-step explanation:
If 108 is divided by 3 is equal to 36 so in one day james can read 36 pages
So 576 divided by 36 is 16
Answer:
16 daysStep-by-step explanation:
This is because 1 day = 36 pages
16 days = 576
1. Given
total number of pages = 576
read number of pages = 108
read number of pages in days = 3
2. Unknown
days to read 576 pages = ?
3. Equation
108/3 = 36
576/36 = 16
4. Check
16*36 = 576 = 576
Correct!
Hope this helps,
Kavitha
A group of friends decides to share a limo for prom. The rental cost is $750 plus a $25 fee for each occupant. There is a
minimum of two passengers, and the limo can hold up to 14 people. Write and solve an inequality to determine how many
people can share the limo for less than $120 per person.
Answer:
8 people
Step-by-step explanation:
120x=750+25x
120x-25x=750
95x=750
x=7.89
round up to 8 and check answer
(25×8)+750=950
950÷8 people =$118.75 per person
Jada estimates the perimeter of her garden by rounding the length and width to the nearest whole number. Which equation shows her estimate?
A. 10 + 5 + 10 + 5 = 30 meters
B. 12 + 3 + 12 + 3 = 30 meters
C. 13 + 3 + 13 + 3 = 32 meters
D. 13 + 4 + 13 + 4 = 34 meters
Jada also estimates the perimeter of her garden by rounding the length and width to the nearest tenth. Which equation shows this estimate?
A. 12.6 + 3.2 + 12.6 + 3.2 = 31.6 meters
B. 12.6 + 3.3 + 12.6 + 3.3 = 31.8 meters
C. 12.5 + 3.5 + 12.5 + 3.5 = 32 meters
D. 12.7 + 3.3 + 12.7 + 3.3 = 32 meters
What is the exact perimeter of Jada’s garden?
Answer:
what is the answer
Step-by-step explanation:
Answer:
all i just know is the first question is C
Step-by-step explanation:
Factor the expression 4x + 32. Explain each step you
take in the process.
Answer:
4(x+8)
Step-by-step explanation:
4(x+8)= 4 X x + 4 X 8
= 4x + 32
Answer: 4(x+8)
because 4 is the greatest common factor of 4 and 32. you distribute the 4 into the parenthesis and get 4x+32
Step-by-step explanation:
find the unknown value 30% of = 30
Answer:
9
Step-by-step explanation:
Please help me with this
Answer:
Just search from other websites
Step-by-step explanation:
easy
What are coordinates of points A, B, C, and D?
Answer:
See below.
Step-by-step explanation:
A = (-2/3, 0)
B = (-1/6, 0)
C = (1/2, 0)
D = (4/3, 0)
Step-by-step explanation:
the interval between 0 and 1 shows us, that on that scale the distance between 2 full numbers is split into 6 parts.
so, every little marker represents 1/6.
A goes 4 markers below 0 (left of 0) and is -4/6 = -2/3.
B goes 1 marker below 0 and is -1/6.
C goes 3 markers above 0 (right of 0) and is 3/6 = 1/2.
D goes 2 markers above 1 and is
1 + 2/6 = 6/6 + 2/6 = 8/6 = 4/3 = 1 1/3
please pick the format your teacher wants you to use to write the result.
if you actually need decimals instead of fractions :
-2/3 = -0.666666666...
-1/6 = -0.166666666...
1/2 = 0.5
4/3 = 1.333333333...