Answer:
If the scale on a map is 5in : 3 miles, it means every 3 inches is 5 miles. 6 inches is 10 miles and so on.
Mrs. Watson wants to buy some dresses for her trip to Houston. There are three boutiques, each offering a different deal.
Table
Lara's Boutique 4 dresses for $64
The Dress Shop 5 dresses for $75
Marge's Dresses 8 dresses for $160
Which boutique has the best deal for dresses?
A. Both Marge's Dresses and Lara Boutique
B. The Dress Shop
C. Lara's Boutique
D. Marge's Dresses
Answer:
B. The Dress Shop.
Step-by-step explanation:
To find the best deal, we want to find the cost for one dress.
Lara's Boutique: $64 for 4 dresses.
x / 1 = 64 / 4
x = 64 / 4
x = $16 per dress.
The Dress Shop: $75 for 5 dresses.
x / 1 = 75 / 5
x = 75 / 5
x = $15 per dress.
Marge's Dresses: $160 for 8 dresses.
x / 1 = 160 / 8
x = 160 / 8
x = $20 per dress.
The boutique with the best deal will have the cheapest dresses. So, the best deal would be at B. The Dress Shop.
Hope this helps!
Please answer this question now
Answer:
f =7.5Step-by-step explanation:
[tex]Opposite =f\\Hypotenuse = 9\\Adjacent = 5\\\alpha = 50\\Using \: Pythagoras \:Theorem \\Hypotenuse^2 = Opposite^2 +Adjacent^2\\9^2 = f^2+5^2\\81=f^2+25\\81-25=f^2\\56=f^2\\\sqrt{56} = \sqrt{f^2} \\f = 2\sqrt{14} \\f = 7.483\\\\f = 7.5[/tex]
Answer choice
D) A worker with 15 years of service gets 5 weeks of vacation and each year.
Answer: it seems to be D, but the equation makes practically no sense!
The value of the factor changes for the different amounts of service years and vacation weeks.
Step-by-step explanation: The equation means that the employee is trying to figure out the value of the "v-factor" for how vacation time is earned.
If you substitute the number of service years into the left side of the "formula" and vacation weeks on the right side, then solve for "v", v(15)=5 you get v= 1/3 or 0.33
If you substitute other numbers, like v(2)=2, so v= 1 then v(30) = 8, v = 4/15 or 0.2667. You see the factor's value decreases. The company is much more generous to to employees with one or two years of service than with the older ones.
Help me plz? Plllzzzz?
Maddy and her cousin work during the summer for a landscaping company. Maddy's cousin has been working for the company longer, so her pay is 30% more than Maddy's. Last week, Maddy's cousin worked 27 hours, and Maddy worked 23 hours. Together, they earned $493.85. What is Maddy's hourly pay?
Find the product.
(6xyz4)(5xy3)
PLEASE HELP!!! ASAP!!
Answer:
[tex]30x^2y^4z^4[/tex]
Step-by-step explanation:
If we multiply 6x by 5x, we get [tex]30x^2[/tex].
If we multiply y by [tex]y^{3}[/tex], we get [tex]y^{4}[/tex].
z stays the same, since it's not being multiplied by anything.
Hope this helped!
Answer:
Step-by-step explanation:
Multiply each term:
30x^2y^4z^4
Plz mark me brainliest!!
find the area of triangle whose vertices are (- 8,4 )(- 6,6) and (- 3,9)
Answer:
Area of the triangle = 0
Step-by-step explanation:
We are given the vertices of a triangle as: (- 8,4 ), (- 6,6), (- 3,9)
The formula to find the Area of the triangle =
1/2[ x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
Where :
(x₁, y₁) = (- 8,4 )
(x₂, y₂) = (- 6,6)
(x₃, y₃) = (- 3,9)
Area of the triangle = 1/2[-8(6 - 9) + -6(9 - 4) + -3(4 - 6)]
= 1/2[ (-8 × -3) +( -6 × 5) +( -3× -2)]
= 1/2[ 24 - 30 + 6)
= 1/2[ 24 + 6 - 30]
= 1/2 [30 - 30]
=1/2[ 0 ]
= 0
Therefore, the area of triangle whose vertices are (- 8,4 ), (- 6,6) and (- 3,9) is ZERO( = 0 )
Plot the image of point C under a dilation about the origin (0,0) with a scale factor of 1/2
Answer:
See Attachment for graph
Step-by-step explanation:
Given
Point C
Required
Plot C when dilated by 1/2
First, we have to determine the coordinates of point C
From the attached graph;
[tex]C = (0,6)[/tex]
Next, is to determine the new point when dilated;
This is calculated as thus;
[tex]New\ Point = Old\ Point * Scale\ Factor[/tex]
[tex]C' = (0,6) * \frac{1}{2}[/tex]
Expand the bracket
[tex]C' = (0 * \frac{1}{2}, 6* \frac{1}{2})[/tex]
[tex]C' = (0, \frac{6}{2})[/tex]
[tex]C' = (0, 3)[/tex]
This implies that C' will be plotted at x =0 and y = 3
(See attached for point C')
Answer:
(0,3)
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the
nearest tenth
Answer:
x = 64Step-by-step explanation:
To find x we use tan
tan∅ = opposite / adjacent
From the question
The adjacent is x
The opposite is 30
So we have
tan 25° = 30/x
x tan 25 = 30
Divide both sides by tan 25
x = 30/tan 25
x = 64.34
x = 64 to the nearest tenth
Hope this helps you
In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown.
Choose True Or False for each statement
Answer:rut
Step-by-step explanation:
Completing the square........... (+25 points+!) Someone please help:)
Answer:
D)
[tex]5 \times {10}^{ - 12} [/tex]
Step-by-step explanation:
velocity(v) = distance/time
but distance =
[tex]3 \times {10}^{ - 4} [/tex]
and velocity =
[tex]6 \times {10}^{7} [/tex]
[tex]6 \times {10}^{7} = \frac{3 \times {10}^{ - 4} }{time} [/tex]
[tex]time = \frac{3 \times {10}^{ - 4} }{6 \times {10}^{7} } [/tex]
[tex]time = 5 \times {10}^{ - 12} [/tex]
What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3
Answer:
n=2
Step-by-step explanation:
⁴/5n-¹/5=²/5n
first we remove the denominators by multiplying all the numbers with their lcm
Lcm of 5n and 5 is 5n thus:
(5n×⁴/5n)-(¹/5×5n)=²/5n×5n
4-n=2
4-2=n
n=2
confirmationinsert 2 insted of n
⁴/5(2)-¹/5=²/5(2)
⁴/10-¹/5=²/10. simplify
²/5-¹/5=¹/5
¹/5=¹/5
so the correct value of n is 2
PLEASE help me with this!!
Answer:
Option D
Step-by-step explanation:
H(x) = 3^(2x)
G(x) = reflecting H(x) across the y-axis and shifting 2 units down
=>G(x) = 3^(-2x) - 2
3^(2x) and 3^(-2x) - 2 are valid with all values of x.
=> There is no change in the domain of H(x) and G(x), in which all values of x satisfy H(x) and G(x).
3^(-2x) > 0
=> G(x) = 3^(-2x) - 2 > -2
=> Range of G(x) is from -2 to inifinity
Answer:
D.
Step-by-step explanation:
Well lets graph it first,
Look at the image below↓
So the red line is the new line which has been reflected and shifted down 2.
Meaning the domain turns into positive numbers but still remains infinite.
And the range changes
So we can cross out A and B.
Before the range was lower than 1 and now its (-2,∞)
Thus,
answer choice D is correct.
Hope this helps :)
find the slope y=2x+5
Answer:
slope is 2
Step-by-step explanation:
the equation of linear is y=mx+b, where m is the slope
therefore, m=2 which means the slope is 2
Answer:the slope is 2
Step-by-step explanation:
the equation y=mx+b represents m as the slope.
What is the answer now in two minutes
Answer:
m<R=48.2 to the nearest tenth
Step-by-step explanation:
1. sin(m<T)=2/3
m<T=arcsin(2/3)=41.81 degrees
m<R=180-90-m<T=180-90-41.81=48.19 degrees
Please hel- I really need this it’s not a test I’m not cheating please help
Answer:
x = 45
Step-by-step explanation:
Since ray IK║EH and IG is a transverse,
∠GIK ≅ ∠IGF [Corresponding angles]
Therefore, m∠IGF = x
Since, m∠JIF + m∠GIF = 180° [Supplementary angles]
2x + m∠GIF = 180°
m∠GIF = (180 - 2x)
Similarly, m∠IFE + m∠IFG = 180°
3x + m∠IFG = 180°
m∠IFG = (180 - 3x)
By the property of a triangle,
"Sum of all interior angles of a triangle is 180°"
m∠IGF + m∠GFI + m∠FIG = 180°
x° + (180 - 2x)° + (180 - 3x)° = 180°
(x - 2x - 3x) + 360 = 180
-4x + 360 = 180
4x = 360 - 180
4x = 180
x = 45
Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence? Answer:
Answer:
The total number of dots on the 200th triangle is 603
Step-by-step explanation:
Please check the attachment for the diagram of the triangular dots that completes the question
From the diagram, we can see that the first triangle has 6 total dots, second has 9 total dots, third has 12 total dots;
This shows a arithmetic progression pattern of the triangles where we have our first term being 6, with our common difference being the number of dots increment on all sides as we progress which is 3
Now we want to calculate for the 200th triangle
Mathematically, the nth term of an arithmetic sequence is given as;
Tn = a + (n-1)d
where a = 6 , d = 3 and n = 200
Substituting these values in the equation above, we have
Tn = 6 + (200-1)3
Tn = 6 + 199(3)
Tn = 6 + 597
Tn = 603
A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent function. Which graph shows the boat's value decreasing at a rate of 40% per year? The graph starts on the left near the x-axis, and near the point negative 20 comma 5 curves upward to the right. The graph starts on the left near the horizontal line x equal 25, and near the point negative 20 comma 30, the graph curves upward to the right. The graph starts on the top left near the y-axis and moves downward to the right. The graph makes a sharp turn near the point 10 comma 2.5 and continues to the right along the x-axis. The graph starts on the top left near the y-axis and moves downward to the right. The graph makes a sharp turn near the point 5 comma negative 30 and continues to the right along the horizontal line x equals negative 25.
Answer:
C
Step-by-step explanation:
The required graph has been attached below which shows the boat's value decreasing at a rate of 40% per year.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
A boat's value over time is given as the function f(x) and graphed below. A(x) = 400(b)ˣ + 0 as the parent function.
Given that the boat's value decreases at a rate of 40% per year.
So after each year, the value becomes = 1 - 40% = 1 - 0.40 = 0.60 of the previous year.
So the equation becomes: A(x) = 400(0.60)ˣ + 0
Since, b = 0.60 < 1, so A(x) is a decreasing function. And for every value of x, A(x) > 0.
The attached graph meets these requirements.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
The table below shows some inputs and outputs of the invertible function f ff with domain all real numbers.
x: -14,-7,-12,9,10,-2
f(x):11,-12,5,1,-2,13
f^-1(1)+f(−14): ?
f^-1(−2): ?
PLEASE HELP!
Answer: [tex]f^{-1}(1)+f(-14)=20[/tex]
[tex]f^{-1}(-2)=10[/tex]
Step-by-step explanation:
The given table :
x: -14,-7,-12,9,10,-2
f(x):11,-12,5,1,-2,13
Since f is invertible ( given) , then [tex]f^{-1}(x)[/tex] exists.
Now , from table [tex]f^{-1}(1)=9[/tex] [ x= 9 corresponding to f(x) =1]
[tex]f(-14)=11[/tex] [ f(x) = 11 corresponding to x=-14]
then, [tex]f^{-1}(1)+f(-14)=9+11=20[/tex]
So, [tex]f^{-1}(1)+f(-14)=20[/tex]
Also, x= 10 corresponding to f(x) =-2, then
[tex]f^{-1}(-2)=10[/tex]
Elsa's magic wand can cast 53 spells. Her wand can cast 17fewer spells than her sister Anna's wand, which is a little bigger and has more glitter. How many spells can Anna's wand cast?
Answer:
Anna's wand can cast 70 spells
Step-by-step explanation:
Elsa's wand can cast 53 spells
her wand casts 17 fewer cells than her sister Anna's
Amount of spells cast by Anna's wand = ?
We write the question down in the form of an equation
[tex]x - 17 = 53[/tex]
where [tex]x[/tex] is the amount of spells Anna's wand can cast.
we then proceed to solve by collecting like terms to different sides of the equation. We'll have
[tex]x = 53 + 17[/tex]
which leaves us with
[tex]x = 70[/tex]
This means that Anna's wand can cast 70 spells.
Help me to solve this problem ASAP please, also {} is incorrect.
Answer:
8/9
Step-by-step explanation:
2/3 + 1 / ( 2 2/5) - 1/x = 1/3 - 1 / ( 2 2/3)
Changing to improper fractions
2 2/5 = ((5*2+2) / 5 = 12/5
2 2/3 = ( 3*2+2) /3 = 8/3
2/3 + 1 / ( 12/5) - 1/x = 1/3 - 1 / ( 8/3)
1 over and improper fraction flips the improper fraction 1 / ( a/b) = b/a
2/3 + 5/12 - 1/x = 1/3 -3/8
Subtract 2/3 from each side
5/12 -1/x = 1/3 -2/3 -3/8
5/12 -1/x = -1/3 -3/8
Subtract 5/12 from each side
-1/x = -1/3 -3/8-5/12
Multiply each side by 24 to get rid of the fractions
-24/x = -24/3 -3*24/8 -5*24/12
-24/x = -8 -9 -10
-24/x = -27
Multiply each side by x
-24 = -27x
Divide by -27
-24/-27 =x
8/9 =x
the sum of a two digit number and the number obtained by interchanging the digits is 154.If the tens digit number is 2 more than units digit number find the original number.
Please help me i want answer full process.I will mark the answer as brainliest plz plz plz helpe
Answer:
86
Step-by-step explanation:
We can set the first digit as (10x+y)
We can interchange it to be (10y+x)
X is the second digit and Y is the first.
1) (10x+y) +(10y+x) =154
2) 11x+11y=154
3) 11(x+y) =154
4) x+y=14
5) x+x+2=14
6) 2x=12
7) x=6
8) y=6+2=8 , so y =8
Need help, there are also two more questions to answer after those but I couldn’t put them in the picture, they are semicircle and radius. Thanks
Answer:
arc KL=minor arc
arc LJK=major arc
Step-by-step explanation:
so minor arc is a arc which is larger than a semicircle .
a major arc is a circle having measure less than radians.
Twins Bruno and Charlie both work at the same restaurant for an hourly rate. Bruno earns minimum wage as a dishwasher, while Charlie earns $2.00 more per hour as a cook. The difference in their wages is becauseTwins Bruno and Charlie both work at the same restaurant for an hourly rate. Bruno earns minimum wage as a dishwasher, while Charlie earns $2.00 more per hour as a cook. The difference in their wages is because
Answer:
The difference in their wages is because the quantity of output produced by a unit of labor is higher for a cook than a dishwasher and also because Bruno is an unskilled labor while Charlie can be categorised as a semiskilled labor.
Step-by-step explanation:
Bruno is a dishwasher
Charlie is a cook
Bruno earnings=$x
Charlie earns $2 more than his twin Bruno
Charlie earnings= $x+2.00
At the same restaurant for an hourly rate
The difference in the wages of Bruno and Charlie is as a result of the productivity of labor
The quantity of output produced by a unit of labor is higher for a cook than a dishwasher and also because Bruno is an unskilled labor while Charlie can be categorised as a semiskilled labor.
What is the probability that Annie rolls a sum of 6 and José rolls doubles?
Answer:
5/216
Step-by-step explanation:
There are 5 possibilities that Annie will roll a 6 out of 36 possible outcomes and there 6 possible outcomes of Jose rolling doubles out of 36 if you multiply these possibilities 5/36 x 6/36 you get 5/216. Sorry if wrong that's what I put for my test.
Write the rule for this sequence '32,16,8,4'
Step-by-step explanation:
This is a sequence of divide by 2 or half of the number so 32 16 8 4 2 1
U
Which statements are true about x? Select three
options
B
XEBUC
Oxenc
OXEAUC
Oxeanc
ΕχεΑ
с
Answer:
A, B, C
Step-by-step explanation:
x is in the intersection of sets B and C, in set B, in set C, in the union of sets B and C, in the union of sets A and C
Answer: A, B, C
Answer:
[tex]\huge\boxed{x\in\bigg(A\cup C\bigg)}[/tex]
[tex]\huge\boxed{x\in\bigg(B\cup C\bigg)}\\\\\boxed{x\in\bigg(B\cap C\bigg)}[/tex]
Step-by-step explanation:
Look at the picture
A basket is filled with 8 white eggs and 10 brown eggs. Half of the white eggs are cracked.
An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg?
Write your answer as a fraction in simplest form.
Answer:
4 by 9 should be the answer
Step-by-step explanation:
N/A
Answer:
I think it is 2/9. I'm not sure.
Step-by-step explanation:
10/18 are brown eggs.
8/18 are white eggs.
4/18 are cracked.
Simplified answer is 2/9 chance.
Which of the following is a rational number?
Answer:
The answer is B
Answer: B
Step-by-step explanation:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
All you need to do is find which of following is a whole number or integer.
A 10-sided die numbered 1 to 10 is rolled once. Find these probabilities.
A. Pr(8)
B. Pr(odd)
C. Pr(even)
D. Pr(less than 6)
E. Pr(prime) (remember that 1 is not prime)
F. Pr(3 or 8)
G. Pr(8, 9 or 10)
H. Pr(greater than 9)
^please explain what’s a “die” all I know was “dice” but dice is 6 sided yea?
^and please explain the answer... I’m international student so I still need some explanation for the questions and answers thank you
Answer:
A. Pr(8) = 1/10
B. Pr(odd) = 1/2
C. Pr(even) = 1/2
D. Pr(less than 6) = 1/2
E. Pr(prime) = 2/5
F. Pr(3 or 8) = 1 / 5
G. Pr(8, 9 or 10) = 3/10
H. Pr(greater than 9) = P(10) = 1/10
Step-by-step explanation:
We assume a FAIR 10-faced die, meaning there is an equal probability of throwing any one of the ten numbers.
With 10 possible outcomes each with equal probability, the probability of throwing any number is 1/10.
(It is preferable to work with fractions in probability because fractions are exact numbers, while decimals can often be rounded, or truncated).
A. Pr(8) means probability of throwing an 8, therefore Pr(8) = 1/10
B. Pr(odd) there are 5 odd number from 1 to 10, so Pr(odd) = 5/10 = 1/2
C. Pr(even) there are 5 even number from 1 to 10, so Pr(even) = 5/10 = 1/2
D. Pr(less than 6) there are 5 numbers less than 6 (between1 to 10),
so Pr(less than 6) = 5/10 = 1/2
E. Pr(prime) (remember that 1 is not prime)
A prime number is an integer not divisible by any number except one and itself.
Between 1 to 10, the four prime numbers are 2,3,5,7
therefore Pr(prime) = 4/10 = 2/5
F. Pr(3 or 8)
(3 or 8) make 2 successful outcomes out of 10, so Pr(3 or 8) = 2/10 = 1 / 5
G. Pr(8, 9 or 10)
similarly, (8,9 or 10) make three successful possible outcomes out of 10, so
P(8,9 or 10) = 3/10
H. Pr(greater than 9)
there is only one successful outcome, namely "10" out of 10 possible outcomes. So
P(greater than 9) = P(10) = 1/10
1. please explain what’s a “die” all I know was “dice” but dice is 6 sided yea?
A die is singular for dice, which can take up any number of faces. With a 10-faced solid, we can make a 10-faced die numbered 1 to 10.
2. and please explain the answer... I’m international student so I still need some explanation for the questions and answers thank you
See solutions above.
Answer:
Remember that standard probabilities are defined as the ratio between the number of favorable cases, and the total number of possible events.
In this case, we have a 10-sided die, which means its faces are numbered from 1 to 10, which gives us 10 total number of possible events. In other words, the denominator of the ratio is going to be 10.
Now we're able to find each probability.
(A) Probability of getting an 8:[tex]P_{8} =\frac{1}{10}=0.10[/tex]
The numerator is 1 because there's only one number 8 in the die, that means the number of favorable cases is 1, and, as we said before, the total number of possible events is 10.
(B) Probability of getting an odd number:[tex]P_{odd} =\frac{5}{10}=0.5[/tex]
The numerator is 5 because there are 5 odd numbers from 1 to 10. In other words, there are 5 favorable cases to this probability.
(C) Probability of getting an even number:[tex]P_{even}=\frac{5}{10}=0.5[/tex]
There are 5 even numbers from 1 to 10, that's why we had the same probability.
(D) Probability of getting a number less than 6:We know that there are only 5 numbers less than 6 for this die.
[tex]P_{<6}=\frac{5}{10}=0.5[/tex]
(E) Probability of getting a prime number:A prime number is such that it can be divided only by itself and the unit. So, there are four prime numbers from 1 to 10, which are 2, 3, 5, 7.
[tex]P_{prime}=\frac{4}{10}=0.4[/tex]
(F) Probability of getting 3 or 8:When we are going to find the probability of an event "or" another, we must sum those favorable cases.
[tex]P_{3 \ or \ 8} =\frac{1+1}{10}=\frac{2}{10}=0.2[/tex]
(G) Probability of getting 8, 9, or 10:In this case, we need to some all three favorable cases. The die has only one 8, one 9 and one 10. So, the probability is
[tex]P_{8,9,10}=\frac{1+1+1}{10}=\frac{3}{10} =0.3[/tex]
(H) Probability of getting a number greater than 9:We know that there's only one number greater than 10 on such die.
[tex]P_{>10}=\frac{1}{10}=0.1[/tex]
Lastly, "die" refers to this special 10-sided dice. In other problems, you can find "a die" with more faces even. But, in general, "die" refers to a dice.