480 miles = 7 1/2 hours
y miles = 12 hours
(cross multiply)
answer: 1645.7 miles
What are the solutions of the quadratic equation? x^2-9x+18=0
Answer:
x=6 x=3
Step-by-step explanation:
x^2-9x+18=0
Factor
What 2 numbers multiply to 18 and add to -9
-6*-3 = 18
-6-3 = -9
(x-6) (x-3) =0
Using the zero product property
x-6 =0 x-3 =0
x=6 x=3
While in the store, your father purchases drinks for the six people in your van. Part of your
family wants coffee and the rest want soda.
6. Coffee in the store costs $1.50 per cup and sodas are $1.20 each. The cost of the drinks before tax was $8.40.
a. Write a mathematical model that represents the total number of cups of coffee and
sodas.
b. Write a mathematical model that represents the cost of the coffee and soda.
c. Solve the system of equations using the elimination method.
Answer: (2,4) They bought 2 sodas and 4 coffees.
Step-by-step explanation:
A. c + s=6 where c is the number of coffee and s is the number of sodas
B. 1.50c + 1.20s =8.40
C. -1.50 (c + s) =6(-1.50) we will multiply the first equation by -1.50 to eliminate the c
New equation; -1.50 - 1.50s = -9 -0.3s/-0.3=-0.6/-0.3 s=2
-150 + 1.20s = 8.40
So we know they bought 2 sodas. so we will plot 2 into the equation.
1.50c + 1.20(2)=8.40 c= 4
A town's population is 53 comma 350. About 75 people move out of the town each month. Each month, 175 people on average move into town. A nearby town has a population of 55 comma 825. It has no one moving in and an average of 175 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question.
Answer:
In about 9 months the population of the towns will be equal.
Step-by-step explanation:
The population of both cities, after t months, can be modeled by linear functions.
Town A:
Population of 53330.
About 75 people move out of the town each month. Each month, 175 people on average move into town.
So, after t months, the population will be:
[tex]A(t) = 53300 + (175 - 75)t[/tex]
[tex]A(t) = 53300 + 100t[/tex]
Town B:
Population of 55,825.
An average of 175 people moving away every month.
So, after t months, the population will be:
[tex]B(t) = 55825 - 175t[/tex]
In about how many months will the populations of the towns be equal?
This is t for which:
[tex]A(t) = B(t)[/tex]
[tex]53300 + 100t = 55825 - 175t[/tex]
[tex]275t = 2525[/tex]
[tex]t = \frac{2525}{275}[/tex]
[tex]t = 9.18[/tex]
Rounding to the nearest number
In about 9 months the population of the towns will be equal.
Can you plz answer question on the screenshot?
Answer:
Step-by-step explanation:
Simplify the expressions:
1) [tex]\sqrt{x^6}[/tex] where x<0
2) [tex]\sqrt{m^4}[/tex]
3) 1.5 * [tex]\sqrt{t^1 ^4}[/tex] where t<0
Answer:
1. -x³
2. m²
3. -1.5t⁷
Step-by-step explanation:
x⁶^½ = +/- x³
Since x is negative, postive square root would be -x³
m⁴^½ = +/- m²
Positive square root is m²
t¹⁷^½ = +/- t⁷
Since t is negative, postive square root would be -t⁷
1.5 × -t⁷ = -1.5t⁷
Solve for x
•26.45
•10.93
•14.26
•22.19
•20.26
Answer:
x = 26.45
Step-by-step explanation:
Cos theta = adjacent side / hypotenuse
cos 50 = 17 /x
Switch the x and the cos 50
x = 17 / cos 50
x =26.44730506
Rounding to 2 decimal places
x = 26.45
Find the values of θ at which there are horizontal tangent lines on the graph of r = 1 + cos θ.
Answer:
θ = π/3 and 5π/3
Step-by-step explanation:
x = r cos θ and y = r sin θ. Therefore:
dy/dx = (dy/dθ) / (dx/dθ)
dy/dx = (r cos θ + r' sin θ) / (-r sin θ + r' cos θ)
In this case, r = 1 + cos θ and r' = -sin θ.
dy/dx = ((1 + cos θ) cos θ + (-sin θ) sin θ) / (-(1 + cos θ) sin θ + (-sin θ) cos θ)
dy/dx = (cos θ + cos²θ − sin²θ) / (-sin θ − sin θ cos θ − sin θ cos θ)
dy/dx = (cos θ + cos²θ − (1 − cos²θ)) / (-sin θ (1 + 2 cos θ))
dy/dx = (cos θ + 2 cos²θ − 1) / (-sin θ (1 + 2 cos θ))
The tangent line is horizontal when the numerator of dy/dx is 0 and the denominator of dy/dx is not 0.
0 = 2 cos²θ + cos θ − 1
0 = (cos θ + 1) (2 cos θ − 1)
cos θ = -1 or 1/2
θ = π/3, π, 5π/3
0 = -sin θ (1 + 2 cos θ)
sin θ = 0 or cos θ = -1/2
θ = 0, 2π/3, π, 4π/3
Therefore, the answer is θ = π/3 and 5π/3.
Prodigy math again. Please help,. will give brainliest if right!
Answer:
1. 6 6/10
2. 7 6/10
Step-by-step explanation:
Answer:
1. 8 6/10
2. 9 6/10
Step-by-step explanation:
Which ordered pairs show the location of the bleachers? Check all that apply. (2.0, 1 and one-half) (1.50, 2.0) (–2.0, 1.50) (1.50, –2.0) (1 and one-half, 2) (1 and one-half, negative 2) plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
2 and 5
Step-by-step explanation:
hope this helps :)
The reciprocal of the tangent is the ___.
A. tangent
B. secant
C. cosecant
D. cotangent
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Hello!
Answer:[tex]\boxed{ \bf w~=~4}[/tex]
________________________________________________
Explanation:7(w + 9) = 91
First, we must multiply everything in the brackets by 7.
= 7(w) + 7(9) = 91
= 7w + 63 = 91
Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.
= 7w + 63 = 91
- 63 - 63
7w = 28
Since w is being multiplied, we'll have to perform the opposite operation (which is division).
[tex]\frac{7w}{7} = \frac{28}{7}[/tex]
w = 4
The right answer is 4.
look at the attached picture
Hope it will be helpful to you..
1,2,10,6,4,4,6,3,1,4 what is the median ?
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The median is the middle number in a set of numbers.
First what we need to do is put the numbers from least to greatest (ascending order).
1, 2, 10,6, 4, 4, 6, 3, 1, 4
1, 1, 2, 3, 4, 4, 4, 6, 6, 10
Now that we have ordered them, which one(s) is/are in the middle?
We have two numbers that share the middle. They are 4 and 4.
In cases where two numbers share the middle, we average them out. We do this by adding our two numbers together and then dividing by 2.
4 + 4 = 8
8 ÷ 2 = 4
Therefore our median is 4!
What is the measurement of < SRT
Triangle
R unknow
S 53 degree
T 48 degree
A) 69 °
B) 79°
C) 99°
D)101 °
Answer:
The sum of all the angles of any triangle is 180°
So, 180 - (53 + 48) = 180 - 101 = 79
<SRT = 79°
Answer:
B
Step-by-step explanation:
i took the unit test <3
Find the volume of the pyramid.
Answer:
200cm³
Step-by-step explanation:
Volume=[tex]\frac{LXBXH}{3}[/tex]
so 10×10×6=600
600÷3=200
(06.03)
Given the box plot, will the mean or the median provide a better description of the center? (1 point)
+
15 20
+
0
5
10
25
30
35
Answer: The median will provide a better description of the center because the median is the middle number.
Step-by-step explanation:
The price of technology stock has risen $9.62 today yesterday's price was $9.53 find the percentage increase round your answer to the nearest 10th of a percent
Answer:
0.9%
Step-by-step explanation:
To find the percentage increase, you can use the following formula:
Percentage change= ((Final price-Initial price)/Initial price)*100
Initial price= $9.53
Final price= $9.62
Variation= ((9.62-9.53)/9.53)*100
Variation= 0.9%
According to this, the percentage increase is 0.9%.
The binomial (x + 5) is a factor of x2 + 8x + 15. What is
the other factor?
2
+x
+x
(x + 3)
(x + 7)
(x + 12)
(x + 13)
+
Answer:x+3
Step-by-step explanation:
5×3=15
5+3=8x
Answer:
A
Step-by-step explanation:
What is 4.937 rounded to the nearest hundredth?
A) 4.90
B) 4.93
C) 4.94
D) 5.00
Answer:
C
Step-by-step explanation:
Answer:
The answer is 4.94 (C (If this is wrong I am sorry but I'm pretty sure it is right)
Jack had to purchase a book for college. The book cost $280 at the campus store. Jack found it online for 15% off. How much can he save if he purchases it online?
Answer:
I think its 238.00
Step-by-step explanation:
Consider these triangles with two known angle
measures.
w
Answer the questions about the triangles.
Which equation can be used to determine the measure
of angle Q?
What is the treasure of angle Y?
48°
48R
What can be concluded about the measure of angle Q
and the measure of angle Y?
86x
86
Р
Y
Answer:
1. 48 + 86 + + Q = 180
2. 46 degrees
3. They are congruent
Step-by-step explanation:
I just got them right on edg
Angle sum property (In ΔPQR, ∠P + ∠Q + ∠R = 180°) can be used to determine the measure of angle Q.
Using angle sum property, ∠Y = 46°.
It can be concluded that ∠Y = ∠Q.
What is angle sum property?The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º.
In ΔPQR,
∠P + ∠Q + ∠R = 180° (angle sum property)
86 + ∠Q + 48 = 180
∠Q = 180 - 86 - 48 = 46°
In ΔXYZ,
∠X + ∠Y + ∠Z = 180° (angle sum property)
86 + ∠Y + 48 = 180
∠Y = 180 - 86 - 48 = 46°
As visible, ∠Q = ∠Y.
Learn more about angle sum property here
https://brainly.com/question/4316040
#SPJ3
Find the circumference &’ area. use 3.14 for piround answers to nearest tenths!
I WILL MARK YOU AS BRAINLIEST!
Answer:
A= 185.12 ft²
C= 12.56 ft
Step-by-step explanation:
Area of rectangle is 160 ft²
Area of semi-circle is 25.12 ft²
3.14*4*4=3.14*16=50.24
50.24/2=25.12
160+100.48=260.48 ft² ≈260.5 ft²
3.14*4=12.56
Answer:
185.136
Step-by-step explanation:
20×8=160ft²
3.142×4²= 50.272
50.272÷2=25.136
160+25.146= 185.136
what is x if x/5 =-9
Answer:
x = -45
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides:
(x/5) * 5 = (-9) * 5
x = -9 * 5
x = -45
x = -45 is your answer.
~
Steps to solve:
x/5 = -9
~Multiply 5 to both sides
x/5 * 5 = -9 * 5
~Simplify
x = -45
Best of Luck!
The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches. What is the surface area of the cone? Express the answer in terms of . 240 square inches 384 square inches 480 square inches 624 square inches
Answer:
Step-by-step explanation:
Circumference pf base of cone = 24 inches
2πr = 24
[tex]r=\frac{24}{2\pi}\\\\r=\frac{12}{\pi}[/tex]
Lateral surface area = πrl
[tex]=\pi *\frac{12}{\pi }*20\\\\=12*20\\[/tex]
= 240 square inches
Answer:
240 square inches
Step-by-step explanation:
6. Erin wants to have more than $150 before she goes shopping for gifts for
the holidays. Each time she babysits, she earns $7.50 per hour. Write and
solve an inequality to find h, the number of hours Erin needs to babysit in
order to meet her goal.
Answer: Erin needs to babysit for 20 hours in order for her to meet her goal.
Step-by-step explanation:
7.50h < 150 divide each side of the equation by 7.50
h=20
6x + 2 = 26 what is the answer
Answer: x=4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
6x+2=26
Subtract 2 from both sides to isolate the variable
6x=24
Divide by 6
x=4
Two points are shown on the graph. What is the midpoint between these two points?
A) (1, 5)
B) (-1, 2)
C) (-2, 1)
D) (-5, -3)
Answer: C (-2,1)
Step-by-step explanation:
EVERYTHING IS DUE IN 2 HOURS AND I CANT FIGURE THIS OUT AND CANT CONTINUE WITHOUT IT PLEASE HELP a)find the probability that a randomly selected student from ms laytons class failed the test
b) find the probabbility that a randomly selected student who failed the test from mrs d’s class.
Answer:
Step-by-step explanation:
Answer -
a) 50% or 1/2
Explanation -
12+12=24
therefore, 12/24 = 1/2 which is 50%
b) 46.43% or 13/28
Explanation -
15+13=28
therefore, 13/28 which is 46.6%
Use the correct inverse trig function to find the missing angle, round to the nearest whole number.
15
?
31
Answer:
61 degrees is the missing angle measure
Step-by-step explanation:
[tex]cos^{-1} (\frac{15}{31})[/tex] Use this equation to find the missing angle
61 degrees is the missing angle measure
If this asnwer is correct, please make me Brainliest!
What integer represents a drop in temperature of 12°
Answer:
Integer; - 12
Step-by-step explanation:
If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;
At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;
Answer; - 12
Plzzzzz answer ASAP help meh
Answer:
1= 8
3= 12
5= 16
7= 20
9= 24
Step-by-step explanation:
1+3=4x2=8
3+3=6x2=12
5+3=8x2=16
9+3=12x2=24
ANSWER:1=8
3=12
5=16
7=20
9=24
step -by - step explanation: 1+3=4×2=8
3+3=6×2=12
5+3=8×2=16
9+3=12×2=24
