Answers
Related Questions
Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $50 in tips. Write an equation to represent this situation and solve the equation to determine how many appointments Maci had.
Part B: Logan made a profit of $235 as a mobile groomer. He charged $75 per appointment and received $40 in tips, but also had to pay a rental fee for the truck of $10 per appointment. Write an equation to represent this situation and solve the equation to determine how many appointments Logan had.
Answers
Maci and 2 appointments and Logan had 3 appointments.
How many appointments did Maci and Logan have?The linear equation that represents the total amount earned by Maci is:
Total amount earned = (amount per appointment x number of appointments) + tips
$170 = ($60 x a) + $50
$170 = $60a + $50
$170 - $50 = $60a
$120 = $60a
a = $120 / $60
a = 2
The linear equation that represents the total amount earned by Logan is:
Profit = total revenue - total cost
Profit = (fee per appointment x number of appointments) + amount received in tips - (rental fee x number of appointments)
$235 = ($75 x a) + $40 - ($10 x a)
$235 = $75a + $40 - $10a
$235 = $65a + $40
$235 - $40 = $65a
$195 = $65a
a = $195 / 65
a = 3
To learn more about profit, please check: https://brainly.com/question/26181966
#SPJ1
Find each missing length to the nearest tenth.
Answers
9514 1404 393
Answer:
6.7
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
x^2 = 6^2 +3^2 = 45
x = √45 ≈ 6.7
The missing side length is about 6.7 units.
Answer:
The missing side length s 6.7 units.
Step-by-step explanation:
hope it helps
Last week Connor and his roommates ate 1 1/6 cartons of yogurt, and this week they ate 3 cartons. How much more yogurt did they eat this week compared to last week?
Answers
Step-by-step explanation:
last week they ate 1 1/6 = 6/6 + 1/7 = 7/6 cartons.
this week they ate 3 = 3×6/6 = 18/6 cartons.
so, how much more did they eat ?
it is not fully clear to me, if we need to find the absolute difference in cartons, or if we need the factor between both amounts (like "how many times did they eat more ?").
to be safe I give you both.
in absolute difference :
18/6 - 7/6 = 11/6 cartons = 1 5/6 cartons more.
as factor :
7/6 × x = 18/6
7x = 18
x = 18/7
they ate 18/7 = 2 4/7 times more
ax - by = 9 28x + 98y = 126 In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of a - b ?
Answers
I do not know.
good luck fella.
ananannananaba
Using the slope formula, find the slope of the line through the given points.
(2,6) and (6,2)
Answers
Answer:
m=(y2-y1)/(x2-x1)
=(2-6)/(6-2)
=-4/4
=-1
Step-by-step explanation:
1. The figure shown is composed of a right triangle and a parallelogram.
25 points
4 m
0.5 m
3.2 m
What is the area of the figure in square
meters? (7.1B, 710, 7.1E, 7.1F)
12.8 m
6.4 m2
O 7.7 m2
13.6 m
Answers
Answer:
13.6 m²
Step-by-step explanation:
The area of the triangle is equal to
\( \frac{3.2 \times 0.5}{2} = 0.8 \: {m}^{2} \)
Therefore, the area of the figure is equal to
\( (4 \times 3.2) + 0.8 = 12.8 + 0.8 = 13.6 \: {m}^{2} \)
Which expression is equivalent to 5x + 5x?
Answers
Answer:
2x×5x
Step-by-step explanation:
5+5=10
5×2=10
10x
18) What is the slope of the line that contains points (–6, –6) and (–3, 1)?
Answers
The slope of the line is 7/9
How to determine the slope of the lineIt is important to note that the equation of a line is represented as;
y = mx + c
Where;
y is a point on the linem is the slope of the linex is a point on the x - axisc is the intercept of the y-axisThe formula for calculating the slope of a line is expressed as;
Slope, m = y₂ - y₁/x₂ - x₁
Now, let's substitute the values into the formula from the points given we have;
Slope, m =1 -(-6)/ -3 - (-6)
expand the bracket
Slope, m = 1 + 6/ 3 + 6
add the values
Slope, m = 7/9
Hence, the value is 7/9
Learn more about slope here:
https://brainly.com/question/3493733
#SPJ1
4/7 x 3/8 then simplify
Answers
Answer:
0.2142857143
Step-by-step explanation:
4/7 × 3/8
=12/56
=0.2142857143.
for each parallel lines. you are given the measure of one angle
Answers
Answer:
The question is not complete
PLEASE HELP IM SO LOST
Answers
Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2
Step-by-step explanation:
You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about
for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'
in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)
as such the line x = 4 will cut the function f(x) in 'half'
If the radius of both of the green circles is 10 cm, find the area of the yellow region (outside of the circles but inside the rectangle)
Answers
The area of the yellow region if the radius of each of the circles is 10 cm is calculated as: 171.7 cm².
How to Find the Area of Circles and Rectangles?The formula that is used to find the areas of circles and rectangles are given below:
Area of a circle = πr², where r is the radius.Area of a rectangle = length × width.Given the diagram in the attachment which shows the green circles and the rectangle, we can deduce the following:
Radius of the each of the circles (r) = 10 cm
Length of the rectangle = 4(r) = 4(10) = 40 cm
Width of the rectangle = 2(r) = 2(10) = 20 cm
The area of the yellow region = area of the rectangle - area of the 2 circles
= (length × width) - 2(πr²)
Substitute
The area of the yellow region = (40 × 20) - 2(π × 10²)
= 800 - 628.3
= 800 - 628.3
= 171.7 cm²
Learn more about the area of rectangles and circles on:
https://brainly.com/question/27073300
#SPJ1
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
A rectangular box without a top is have a volume of 12 cubic feet. Find the dimensions of
the box that will have minimum surface area.
Answers
We treat A as a function of the variables and b and equating its partial derivatives with respect to a and b to 0. This gives {-64/(a^2)}+b=0, which means b=64/a^2. Since A(a,b) is symmetric in a and b, partial differentiation with respect to b gives a=64/b^2, ==>a=64[(a^2)/64}^2 =(a^4)/64. From this we get a=0 or a^3=64, which has the only real solution a=4. From the above relations or by symmetry, we get b=0 or b=4. For a=0 or b=0, the value of V is 0 and so are inadmissible. For a=4=b, we get h=32/ab =32/16 = 2.
Therefore the box has length and breadth as 4 ft each and a height of 2 ft.
find the value of x. SIMPLEST RADICAL FORM
Answers
For given triangle, x is 4√5 using Pythagorean theorem.
What is Pythagorean Theorem?
Pythagoras Theorem (also known as Pythagorean Theorem) is a mathematical concept that explains the relationship between the sides of a right-angled triangle. The sides of a right triangle are also referred to as Pythagorean triples. This theorem's formula and proof are discussed with examples here.
The Pythagorean theorem is used to calculate the length of an unknown side and the angle of a triangle. We can deduce the base, perpendicular, and hypotenuse formulae from this theorem.
The Pythagoras Theorem formula is presented in the definition as:
Perpendicular² + Base² = Hypotenuse²
c² = a² + b²
Now,
Given that perpendicular =19
Hypotenuse=21
then Base²=21²-19² using Pythagoras theorem
Base=√441-361
=√80
=4√5
Hence,
x is 4√5
To know more about Pythagorean theorem visit the link
https://brainly.com/question/343682?referrer=searchResults
#SPJ1
Which type of sampling method is being employed in the following example:
"A study was being conducted after a tsunami. The researcher was trying to assess the needs of the victims in a single
downtown high rise apartment building. So, she sent a messenger to ask one person on each floor what their needs were to
get an idea of what was needed to support the people in the building.”
Answer choice
a) Simple Random Sampling
b) Stratified Sampling
c) Clusters Sampling
d) Sampling of Convenience
e) Systematic Sampling
Answers
A problem states: "There are 5 more girls than boys at the party. There are 27 children at the party in all. How many boys are there at the party?"
Let b represent the number of boys.
Which expression represents the number of girls?
5−b
b + 5
b⋅5
b−5
Answers
Answer:
b + 5
Step-by-step explanation:
If there are 5 more girls and b represents boys, then adding 5 to b (boys) gives you the number of girls. Hope this helps!
Answer:
The second one
Step-by-step explanation: 27-5=22 then u divide 22 divided by 2 and you get 11 then you add five girls to the 11 and you get 16 so there's 11 boys and 16 girls at the party which makes the equation 11+5=16 so the answer is number b (the second one).
Step by Step please, list all information given by the marks on the diagram.
Answers
Answer:
C
Step-by-step explanation:
(4x + 1) and 57 are vertically opposite angles and are congruent, so
4x + 1 = 57 ( subtract 1 from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
A ball is dropped from a height of 94 meters. Its height exactly t seconds later is given by
h(t) = −4.9t² + 94
Find the time when the ball hits the ground.
t
Select an answer
Find the velocity of the ball at any time t.
v(t)
Find the acceleration of the ball at any time t.
a(t)
Find the velocity of the ball at the instant it hits the ground.
Select an answer
At what speed does the ball hit the ground?
Select an answer
What is the acceleration of the ball as it hits the ground?
Select an answer
Answers
Answer:
\(h(t) = - 4.9 {t}^{2} + 94\)
\( - 4.9 {t}^{2} + 94 = 0\)
\( {t}^{2} = \frac{94}{4.9} = \frac{940}{49} \)
\(t = \frac{2 \sqrt{235} }{7} \: seconds = 4.38 \: seconds \)
The ball hits the ground when t = 4.38 seconds.
\(v(t) = - 9.8t\)
\(v( \frac{2 \sqrt{235} }{7} ) = ( - \frac{49}{5}) ( \frac{2 \sqrt{235} }{7} ) = - \frac{14 \sqrt{235} }{5} = - 42.92\)
At t = (2/7)√235 seconds = 4.38 seconds, the velocity of the ball is (-14/5)√235 m/sec = -42.92 m/sec, so the speed of the ball is (14/5)√235 = 42.92 m/sec.
\(a(t) = - 9.8\)
The acceleration of the ball at any time t is -9.8 m/sec². So at t = (2/7)√235 seconds, = 4.38 seconds, the acceleration of the ball is -9.8 m/sec².
Answer:
1. t= 0.98
2. v(t)= -9.8t
3. a(t)= -9.8
4. v(0.98)= -9.604 m/s
5. |v(0.98)|= 9.604
6. a(0.98)= -9.8 m/s²
Step-by-step explanation:
To find out when the ball goes splat on the ground, and then use some fancy math to figure out how fast and furious it was falling, follow these steps:
1. The ball goes splat when its height is zero, so we need to solve h(t) = 0. Using the quadratic formula, which you probably learned in high school and then forgot, we get:
t = (-b ± √(b² - 4ac)) / (2a)
where a = -4.9, b = 0 and c = 94. Plugging in these numbers, we get:
t = (-0 ± √(0² - 4(-4.9)(94))) / (2(-4.9))
t = (0 ± √(1846.8)) / (-9.8)
t = (0 ± 42.96) / (-9.8)
t = -4.38 or 0.98
We ignore the negative value because it means the ball was already on the ground before we threw it, which is silly. So the time when the ball goes splat is t = 0.98 seconds.
2. The speedometer of the ball at any time t is given by the slope of h(t) with respect to t:
v(t) = h’(t) = -9.8t
v(t) = -9.8t
This is a straight line that shows that the speedometer of the ball is going down at a steady rate of -9.8 m/s².
3. The gas pedal of the ball at any time t is given by the slope of v(t) with respect to t:
a(t) = v’(t) = -9.8
a(t) = -9.8
This is a flat line that shows that the gas pedal of the ball is always -9.8 m/s², which is equal to the force that makes things fall on Earth.
4. The speedometer of the ball at the moment it goes splat is given by plugging in t = 0.98 into v(t):
v(0.98) = -9.8(0.98)
v(0.98) = -9.604
Therefore, the speedometer of the ball at the moment it goes splat is -9.604 m/s.
5. The actual speed of the ball at the moment it goes splat is given by taking off the minus sign from its speedometer:
|v(0.98)| = -9.604
|v(0.98)| = 9.604
Therefore, the actual speed of the ball at the moment it goes splat is 9.604 m/s.
6. The gas pedal of the ball as it goes splat is given by plugging in t = 0.98 into a(t):
a(0.98) = -9.8
Therefore, the gas pedal of the ball as it goes splat is -9.8 m/s².
If the area of the following parallelogram is 30 square centimeters, what is the length of the base?
25 cm
5 cm
6 cm
150 cm
Answers
Answer: 6 cm
Step-by-step explanation:
The formula for the area of a parallelogram is
hb=a
Where
b is the base
h is the height (5 for this)
and a is the area (30 for this)
Let's sub these values into our equation
\(5b=30\)
Divide both sides by 5 to isolate b
\(5b=30\\\frac{5b}{5} =\frac{30}{5} \\b=6\)
The base is 6cm long.
Answer:
Base = 6 cm
Step-by-step explanation:
Given:
\(\text{Area of parallelogram} \text{ = 30 cm}^{2}\)
\(\text{Height of parallelogram = 5 cm}\)
Formula:
\(\text{Area of parallelogram} = \text{Base} \times \text{Height}\)
Substitute the height and the area of the parallelogram:
\(:\implies 30 \ \text{cm}^{2} = \text{Base} \times 5\)
Divide both sides by 5:
\(:\implies \dfrac{30}{5} = \dfrac{\text{Base} \times 5}{5}\)
Simplify both sides:
\(:\implies 6 \ \text{cm} = \text{Base}\)
Charlene was making some chocolate squares for her class party. She had 8 packages of the mix. Each package called for cup of milk. How many whole cups of milk would Charlene use for all 8 packages?
Answers
The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.
What is a square?A square is a type of quadrilateral that has four sides with four angle 90° at each edge.
The number of chocolate square mixture Charlene would use for the party = 8 packages.
The number of packages that require a cup of milk = 1
Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.
Learn more about square here:
https://brainly.com/question/25092270
#SPJ1
Last question then I’ll be done I’m pretty sure. Please help and I’ll mark brainliest if it lets me. Just give me a small explanation!
Answers
The problem solving is on the image, 6th grade
Answers
How do you solve this??
21 a(little 6) b(little 5)
————————————
7 a(little 3) b
Answers
\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
To solve this problemWe can use the rules of exponents and simplify the terms with the same base.
Dividing the coefficients: 21 / 7 = 3.
For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)
Similarly,\(b^5 / b = b^(5-1) = b^4\).
Putting it all together, the simplified expression is:
\(3a^3b^4.\)
Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
Learn more about rules of exponents here : brainly.com/question/11975096
#SPJ1
A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?
Answers
A store sells 5 oranges and 10 apples.
What is the cost amount?
The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.
Here, we have
Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.
We have to determine how many of each type of fruit were sold.
We, let the oranges be x.
let the apples be y.
x + y = 15...(1)
1x + 2y = 25...(2)
We subtract equation(2) from equation(1), we get
y = 10
Now we put the value of y in equation (1) and we get
x + 10 = 15
x= 5
Hence, a store sells 5 oranges and 10 apples.
To learn more about the cost amount from the given link
https://brainly.com/question/25811981
#SPJ1
A soccer player has a large cylindrical water cooler that measures 3 feet in diameter and is 4 feet tall. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water are in the water cooler when it is completely full? Use π = 3.14 and round to the nearest hundredth. 28.26 gallons 113.04 gallons 211.38 gallons 845.54 gallons
Answers
The volume of the cylindrical water cooler is 211.38 gallons. Therefore, option C is the correct answer.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a soccer player has a large cylindrical water cooler that measures 3 feet in diameter and is 4 feet tall.
Now, radius = 3/2 =1.5 feet
We know that, the formula to find the volume of a cylinder is πr²h.
Here, 3.14×1.5²×4
= 28.26 cubic feet
In gallons = 28.26×7.48
= 211.38 gallons
Therefore, option C is the correct answer.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ1
The correct option is C, 211.38. Hope this helps :)
Which numbers between 10 and 20 do not appear in the table at all?
Why don’t they appear?
Answers
Answer:
the answer is 11, 13, 17
Step-by-step explanation:
this is because they do not have any even number that multiplies into them.
If cos(x)=5/6 , and x is in quadrant I, determine the exact value of each of the following. Use fractions and radicals only, no decimals.
sin(x/2)=
cos(x/2)=
tan(x/2)=
please help
Answers
According to the trignonmentry of half angles, the value of sin(x/2) is √(1-5/6)/2, cos(x/2) is √(1+5/6)/2 and the value of tan(x/2) is √11/6/(√(1 + 5/6)
Trigonometry of half angles
Trigonometry of half-angle formula is used to determine the exact values of the trigonometric ratios of angles such as 15° that is half of the standard angle 30° and 22.5° that is the half of the standard angle 45 and so on. So if θ is an angle, then the half angle is represented by θ/2.
Given,
Here we need to find if cos(x)=5/6 , and x is in quadrant I, determine the exact value of each of the following.
sin(x/2), cos(x/2), tan(x/2).
According to the concepts in trigonometry,
We know that the following formulas.
=> sin(x/2) = √(1-cosx)/2
=> cos(x/2) = √(1+cosx)/2
=> tan( x/2)=sin x/1+cosx
Here we know that cos (x) = 5/6
Thus implies that 5 is the opposite and 6 is the hypotenuse, then the adjacent is
Therefore, we can calculate the value of the adjacent a as,
=> a = √(6²-5²)
=> a = √36-25
=> a= √11
Therefore the value of sin x= √11/6
So, the value of sin(x/2)= √(1 - 5/6)/2
And the value of cos(x/2)= √(1 + 5/6)/2
Finally, the value of tan(x/2)=√11/6/(√(1 + 5/6)
To know more about Trignonmentry of half angles here.
https://brainly.com/question/16946858
#SPJ1
X and Y are mathematically similar chocolate boxes.
Y
X has a volume of 130 cm^3 and a surface area of 202^2 cm?.
The volume of Y is 638.69 cm^3.
What is the surface area of Y?
Answers
Answer:
992.43 cm²
Step-by-step explanation:
From the question given above, the following data were obtained:
Volume of shape X (Vₓ) = 130 cm³
Surface area of shape X (SAₓ) = 202 cm²
Volume of shape Y (Vᵧ) = 638.69 cm³
Surface area of shape Y (SAᵧ) =?
The surface area of shape Y can be obtained as follow:
Since the shape are similar, then:
Vₓ / Vᵧ = SAₓ / SAᵧ
130 / 638.69 = 202 / SAᵧ
Cross multiply
130 × SAᵧ = 638.69 × 202
130 × SAᵧ = 129015.38
Divide both side by 130
SAᵧ = 129015.38 / 130
SAᵧ = 992.43 cm²
Thus, surface area of shape Y is 992.43 cm²
What is the slope of the line shown below?
PLEASE HELP OMG
Answers
Answer:
3 becuase y divided by x
Step-by-step explanation: