Scale is 1 inch to 6 mile.
So, ½ inch = 6 mile/2 = 3 mile
A can of cashews mixed with almonds costs $24.60. Cashews cost $4.25//lb and almonds cost $3.80/lb. There are twice as many cashews as almonds in the can. How many pounds of each type are in the can?
Answer: 2 and 4 lb
Step-by-step explanation:
Given
There are twice as many cashews as almonds in the can
Cashews costs [tex]\$4.25\ lb[/tex]
Almonds costs [tex]\$3.80\ lb[/tex]
Can costs $24.60
Suppose there are x lb almonds, so there is 2x lb cashews
[tex]\Rightarrow (2x)4.25+x\cdot 3.80=24.60\\\Rightarrow 8.5x+3.8x=24.60\\\Rightarrow 12.3x=24.60\\\Rightarrow x=2\ lb[/tex]
Amount of cashews =4 lb
Amount of almonds =2 lb
lines b and c are parallel. no links.
Answer:
Value of x:
[tex]{ \tt{(13x + 9) + (5x + 9) = 180 \degree}} \\ { \tt{18x + 18 = 180 }} \\ { \tt{18x = 162}} \\ { \tt{x = 9}} \\ [/tex]
Angle m‹6:
[tex]{ \boxed{ \tt{m \angle6 = (5x + 9) \degree}}} \\ { \tt{m \angle6 = (5 \times 9) + 9}} \\ { \tt{m \angle6 = 54 \degree}}[/tex]
Answer:
B. 54 degrees
Step-by-step explanation:
Set up an equation that equals 180 degrees because a line is 180 degrees:
(13x+9)+(5x+9)=180
Solve for x:
x=9
Substitute 9 in 5x+9:
5(9)+9
Solve.
54
Since angle 6 is complementary, it is the same as the 7th angle.
So the answer is B, 54 degrees.
Hope this helps!
[tex]\text{Solve for x.}\\\\5x + 10 = 35[/tex]
Answer:
x = 5
Step-by-step explanation:
5x + 10 = 35
Subtract 10 from both sides
5x + (10-10) = 35 - 10
Simplify
5x = 25
Divide both sides by 5
5x/5 = x
25/5 = 5
We're left with x = 5
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{x = 5}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'....}}\\\\5x + 10 = 35\\-------------\\\rightarrow 5x + 10 - 10 = 35 - 10\\\\\rightarrow 5x = 25\\\\\rightarrow \frac{5x=25}{5}\\\\\rightarrow \boxed{x = 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find fourth proportional of 6, 9, 18. Please say me correct answer
Pier is a teacher
There are 13 boys and 17 girls in the class
Pier chooses one student at random
Workout the probability the student is a boy
Answer:
I think its 43%
Explanation
math
The probability of Pier choosing a boy is 0.43 or 43%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The total number of students in the class is:
13 boys + 17 girls
= 30 students
The probability of Pier choosing a boy is the number of boys in the class divided by the total number of students:
Probability of choosing a boy.
= number of boys / total number of students
Probability of choosing a boy.
= 13 / 30
Probability of choosing a boy.
= 0.4333 or approximately 0.43
Therefore,
The probability of Pier choosing a boy is 0.43 or 43%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
I NEED HELP PLZ ANSWER ILL GIVE BRAINLIEST
Answer:
-3
Step-by-step explanation:
If the equation is y = -5x -3, the y intercept is -3, and the slope is -5x. The number without a variable next to it, of any sort is always the y-intercept.
find the greatest number such that x360y is divisible by 24
Answer:
93600
Step-by-step explanation:
The divisibility rule of 24 is that the number has to be divisible by both 3 and 8. So we need to plug in numbers for x and y to find the greatest number. 93600 should be the answer.
Quadrilateral ABCD is a rectangle. FindBD ifAO = 6x - 22 and OC = 2x + 6.
40 units
20 units
7 units
10 units
Given the function (Image below) [Algebra ll]
Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia. Después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres. ¿Cuántos años cumplidos vivió Augusto?
Answer:
Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.
Step-by-step explanation:
Dado que Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia, y después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres, para determinar cuántos años cumplidos vivió Augusto se debe realizar el siguiente cálculo:
Nacimiento: 23/09/63 AC
Primer año: 23/09/62 AC
Tercer año: 23/09/60 AC
Sesenta y dos años: 23/09/01 AC
Sesenta y tres años: 23/09/01 DC
Setenta y tres años: 23/09/11 DC
Setenta y cinco años: 23/09/13 DC
Así, Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.
Solve for x: 6sin^2x+2sin^2x=1 fir - 90<x<90
Answer:
Here we have the equation:
6*sin²(x) + 2*sin²(x) = 1
and we want to find a solution in the range:
-90° < x < 90°
First, we can take the sin²(x) as a common factor to get:
6*sin²(x) + 2*sin²(x) = (6 + 2)*sin²(x) = 1
8*sin²(x) = 1
now we can divide both sides by 8
sin²(x) = 1/8
now we can apply the square root to both sides:
√(sin²(x) = √(1/8)
sin(x) = √(1/8)
Now remember the inverse sine function, Asin(x)
such that:
Asin( sin(x) ) = sin( Asin(x) ) = x
If we apply that to both sides, we get:
Asin( sin(x) ) = Asin(√(1/8))
x = Asin(√(1/8)) = 20.7°
x = 20.7°
Someone tell me where everyone is going right please !!
Answer:
1min = 0.25miles
5.25miles / 0.25miles = 25 = 25minutes
Step-by-step explanation:
Hope this is right I'm not the best at worded time/distance math questions.
9514 1404 393
Answer:
0 ≤ t < 52.5 minutes
Step-by-step explanation:
Riko will be behind Yuto until her distance traveled matches his. That is, she will be behind for ...
0.35t < 5.25 +0.25t
0.10t < 5.25
t < 52.5
Riko will be behind Yuto on the interval 0 ≤ t < 52.5 minutes.
_____
Additional comment
distance = speed × time
Here, time is measured from when Riko starts riding. In addition to the 5.25 miles that Yuto has already gone, his distance will be the product of his speed (0.25 mi/min) and the travel time (t min). Then Yuto's total distance is 5.25+0.25t miles. The speed×time product is also used to find Riko's distance traveled. In her case, it is 0.35t miles.
I need help ASAP !!!!
ASAP !!
If using the method of completing the square to solve the quadratic equation x^2+3x-17=0x
2
+3x−17=0, which number would have to be added to "complete the square"?
Answer:
17
Step-by-step explanation:
Find z
Help me please
Answer: z=56
Step-by-step explanation:
Based on the figure, we can determine that 3y+8=68 and 4x=2z. With the knowledge that a trapezoid has 360°, we can first find the value of y to get the angle measures of the top angles. We can then subtract that from 360°.
3y+8=68 [subtract both sides by 8]
3y=60 [divide both sides by 3]
y=20
We now know the value of y is 20, but that is not relevant to solving this problem because we already know that the top angles are 68° each. So, we can subtract that from 360.
360-68-68=224
Now, we know that the bottom 2 angles have to add up to 224. Therefore, we can come up with 2 equations.
Equation 1: 4x=2z
Equation 2: 4x+2z=224
We can manipulate Equation 1 to be [tex]x=\frac{1}{2}z[/tex]. Once we plug that into Equation 2, we can find the value of z.
[tex]4(\frac{1}{2} z)+2z=224[/tex] [multiply]
[tex]2z+2z=224[/tex] [add]
[tex]4z=224[/tex] [divide both sides by 4]
[tex]z=56[/tex]
Now, we know that z=56.
Find the size of each of the unknown angles. Help me plz.
The answer is a=b=60 degree and c=120 degree. Give me solution plz
Answer:
a=60 b=60 c=120 is the answer
Someone help me pls
47 as the sum of ______
9514 1404 393
Answer:
(a) 6² +3² +1² +1² = 47
(b) 5² +4² +2² +1² +1² = 47
(c) 3³ +4² +2² = 47
Step-by-step explanation:
It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.
The approach where a cube is required can work the same way.
(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1
__
(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...
__
(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2
Which is a simplified form of the expression -5(y – 2) – 7y?
A. -12y + 10
B. 2y - 10
C. -2y + 10
D. 12y - 10
Answer:
the answer is B
Step-by-step explanation:
-5(y-2)-7y
-5y-10-7y
+7y +7y
answer: 2y-10
Answer:
A. (-12y+10)
Step-by-step explanation:
-5(y-2) - 7y can be simplified to:
-5y + 10 - 7y when you factor the parenthesis.
If you add the y's together, the answer should be:
-12y + 10.
.
The side of an equilateral triangle is 22. Find the exact length of the altitude.
Use the exact value, meaning leave your answer with a radical.
PLEASE HELP THE TEST IS DUE IN 5 MINS
Step-by-step explanation:
here's the answer to your question
Whats the mean, modian, mode, and range, of these five?
6) 35, 74, 76, 93, 84, 22
Mean=
Median=
Mode=
Range=
7) 72, 55, 11, 55, 42, 25, 79, 69
Mean=
Median=
Mode=
Range=
8) 93, 15, 11, 58, 94, 87, 73, 16, 21
Mean=
Median=
Mode=
Range=
9) 17, 45, 12, 74, 89, 57
Mean=
Median=
Mode=
Range=
10) 52, 35, 55, 23, 30
Mean=
Median=
Mode=
Range=
Answer:
Step-by-step explanation:
mean:64
median: (74+76)/2=75
mode: no mode
Range: 71
#2
mean:51
median:(55+55)/2=55
mode:55
Range; 68
Answer:
6)
Mean = 35+ 74+ 76+ 93+ 84+ 22 = 384
mean = total amount/total numbers
384/6 = 64
Median = 76 + 93/2 = 169/2 = 84.5
Mode = there is no mode (there are no numbers repeated)
Range = (biggest - smallest) = 93 - 22 = 71.
7)
Mean = total amount/total numbers
72+ 55 +11+ 55 + 42 + 25 + 79 + 69 = 408/8 = 51
Median = 55 + 42/2 = 97/2 = 48.5
Mode = 55
Range = 79 - 25 = 54
8) Mean = 93 + 15 + 11+ 58+ 94+ 87 + 73+ 16+ 21 = 468/9 = 52
Median = 94
Mode = nothing
Range = 93 - 11 = 82
9)
Mean = 17+45+ 12+ 74+ 89 + 57 = 294/6 = 49
Median = 12 + 74/2 = 43
Mode = nothing
Range = 89 - 12 = 77
10)
Mean = 52+ 35+ 55+ 23+ 30 = 195/5 = 39
Median = 55
Mode = nothing
Range = 55 - 23 = 32
Step-by-step explanation:
I rlly hope this helped i took soooo long(sry for that btw)
Given that is a standard normal random variable, find for each situation (to 2 decimals). a. The area to the left of is . (Enter negative value as negative number.) b. The area between and is . c. The area between and is . d. The area to the left of is . e. The area to the right of is . (Enter negative value as negative number.)
Answer:
-0.80
1.66
0.26
2.56
-0.50
Step-by-step explanation:
The values are the probability values either to the right or left of a given z - value ;
The Z - values could be obtained using the standard normal distribution table or a calculator :
Using the Z probability calculator ;
Area to the left of z is 0.2119
1.)
P(z < z) = 0.2119
z = - 0.8
2.)
Area between - z and z = 0.9030
Area to the left of z = 0.9030 plus
Area to the right of z = (1 - 0.9030) / 2 = 0.097/2 = 0.0485
(0.9030 + 0.0485) = 0.9515
P(z < z) = 0.9515
z = 1.66
3.)
Area between - z and z = 0.2052
Area to the left of z = 0.2052 plus
Area to the right of z = (1 - 0.2052) / 2 = 0.7948/2 = 0.3974
(0.2052 + 0.3974) = 0.6026
P(z < z) = 0.6026
z = 0.26
D.)
The area to the left of z is .9948
P(Z < z) = 0.9948
z = 2.562
E.)
The area to the right of z is .6915.
P(Z < z) = 1 - 0.6915
P(Z < z) = 0.3085
z = - 0.5
Question 17 (5 points)
Determine the value of x in the isosceles trapezoid.
2x
х
x = 60°
x= 65°
x= 180°
*= 90°
0.4x + 3 = 0.2(3x+1) - x
Solve for x
Hello!
0.4x + 3 = 0.2(3x + 1) - x
0.4x + 3 = 0.6x + 0.2 - x
0.4x + 3 = -0.4x + 0.2
0.4x + 0.4x = 0,2 - 3
0.8x = -2.8
x = -2.8 : 0.8
x = -7/2
Good luck! :)
How many solutions exist for the given equation 3x+13=3(x+6)+1 zero one two infinity many
Answer:
Zero
Step-by-step explanation:
Given: 3x+13=3(x+6)+1
Step 1: Expand
3x+13=3x+19
Step 2: Subtract 3 from both sides
3x+13-13=3x+19-13
Step 3: Simplify
3x=3x+6
Step 4: Subtract 3x from both sides
3x-3x=3x-3x+6
Step 5: Simplify
0=6
NO REAL SOLUTIONS
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Answer:
zero
Step-by-step explanation:
3x + 13 = 3(x + 6) + 1
3x + 13 = 3x + 18 + 1
3x - 3x = 18 + 1 - 13
0 = 18 + 1 - 13
0 = 6
NO SOLUTION
For any three rational numbers a, b, & c, we have a + (b+c) = (a+b)+c , this property is called
Answer: Associative Property of Addition
This property says that we can group terms in any order we want, and the results of the addition would be the same.
For example, 2+(3+4) = 2+(7) = 2+7 = 9 and (2+3)+4 = (5)+4 = 5+4 = 9. Therefore, 2+(3+4) = (2+3)+4 is a true equation since both sides evaluate to 9.
This property works not only for rational numbers, but for any real numbers.
The three straight paths, , , and , meet each other at three points, A, B, and C. How do these points of intersection differ from each other? Explain the differences in terms of the angles that you see. Also look at the length of the side opposite each angle. What pattern do you see regarding the measurements? In what situation would all the points of intersection resemble one another? Modify the triangle in GeoGebra to help you with your answers
Answer:
Step-by-step explanation:
I am sort. I have no idea
Answer:
The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.
Step-by-step explanation:
(-6)^-1 multiply by x = 27^-1. find x
pls help beestar is not fun
bobby drove 110 miles and his car used 5 gallons of gas. How many miles can he drive with 16 gallos of gas
Answer:
Bobby can drive 352 miles with 16 gallons of gas.
Step-by-step explanation:
110 miles uses 5 gallons of gas.To find how many miles can be driven with one gallon we divide 110 by 5.
110 ÷ 5 = 22
Therefore to find the amount of miles that can be driven with 16 gallons we multiply 16 × 22 = 352
Which expressions are in simplest form? Check all that apply.