A group of friends wants to go to the amusement park. They have $180.50 to spend on parking and admission. Parking is $19.50, and tickets cost $23 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
equation:
answer p:
a.
The required equation is 23p + 19.50 = 180.50
Let p represent the number of people who can go to the amusement park.
Since the ticket costs $23 per person, the total amount paid for ticket is rate × number of person = $23 × p = 23p.
Since we pay $19.50 for parking, the total amount spent is T = 23p + 19.50
Since the total amount equals $180.50. T = 180.50
So, 23p + 19.50 = 180.50
The required equation is 23p + 19.50 = 180.50
b.
Solving 23p + 19.50 = 180.50, we have
23p = 180.50 - 19.50
23p = 161
p = 161/23
p = 7
So, the number of people who can go to the amusement park is 7.
Learn more about linear equations here:
https://brainly.com/question/24307397
Write an equation of a line that is perpendicular to y = 2/3 x + 8 and has a y-intercept of
2.
Answer in slope-intercept form
Answer:
y = -3/2x + 2
Step-by-step explanation:
Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.
y = 2/3x + 8 becomes
2 = -3/2(0) + b We substitute in the x and y values, but we have to figure out what the last number will be.
2 = 0 + b
b = 2
So put the whole equation together
y = -3/2x + 2
Tim is 40 lbs less than his bother. If together they weigh 220, how much does Tim weigh?
Answer: Tim weighs 90 lbs and his brother weighs 130 lbs
1234567891011121314151617181920
Answer:
What's this question? Oh my gosh!
Please and thank youuuuuu! :)
We know the slope intercept formula. Using the formula, we can find the slope.
Formula: y = mx + bGiven equation: y = 4x - 6m = Slopeb = y-interceptNow, let's compare both equations to find out what is the slope.
=> y = mx + by = 4x - 6
Conclusion:We can clearly see that m is replacing with 4. That basically means the slope is 4.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
How many planes appear in the figure?
Answer:
5
Step-by-step explanation:
Which ordered pair is the solution set
for 3x + 5y < 10?
Answer:
Slope is -3/5
Slope intercept form: y<-3/5x+2
Step-by-step explanation:
Your going to have a shaded region, with a dashed line
the y intercept will be (2)
the x intercept will be (3.333,0)
Juan texts 20 messages in 5 minutes. At this rate how many text messages can he send in 30 minutes
The answer 120 MESSAGES
Solve 5,964 ÷ 7 = ________. Use an area model to help you.
Answer:
The answer is 852 I think. Please tell me if this is correct.
Step-by-step explanation:
2/7x9 in simplest form
Answer:
2/63
Step-by-step explanation:
I'm going to assume that the x is a multiplication symbol.
7 x 9 = 63
Therefore, the simplest form would be 2/63
A television set costs $4500 cash. When bought on hire-purchase, a deposit of $450 is
required, followed by 12 monthly payments of $400. How much is saved by paying cash?
Answer:
$750
Step-by-step explanation:
did the problem
David made $80,950 last year. If his income is decreased by 7.25%, what is his adjusted
income, Ai? (show equation).
HELPP PLEASEEE
Answer:
75081
Step-by-step explanation: multiply 80950 by 0.9275
Given that △ABC is an isosceles triangle with AB⎯⎯⎯⎯⎯≅AC⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯ bisecting ∠BAC, which of the following proves that ∠ABD≅∠ACD?
The isosceles triangle having an angle bisector [tex]\overline{AD}[/tex] forms two congruent triangles.
ΔBAD ≅ ΔCAD, therefore, ∠ABD ≅ ΔBAD, by CPCTCReasons:
The given parameters are;
ΔABC is an isosceles triangle.
[tex]\overline{AB}[/tex] ≅ [tex]\overline{AC}[/tex]
[tex]\overline{AD}[/tex] bisects ∠BAC
Therefore, the proof that ∠ABD ≅ ∠ACD is given as follows;
1. [tex]\overline{AB}[/tex] ≅ [tex]\mathbf{\overline{AC}}[/tex] (Given)
2. [tex]\overline{AD}[/tex] bisects ∠BAC (Given)
3. ∠BAD ≅ ∠CAD (Definition of angle bisector)
4. [tex]\overline{AD}[/tex] ≅ [tex]\mathbf{\overline{AD}}[/tex] (Reflexive property of congruency)
5. ΔBAD ≅ ΔCAD (Side Angle Side, SAS rule of congruency based on steps 1, 3 and 4)
6. ∠ABD ≅ ∠ACD (Congruent Parts of Congruent Triangle are Congruent, CPCTC)
Learn more about SAS rule of congruency here:
https://brainly.com/question/6422888
When trying to find the amount of interest you will pay if you borrow money, what three things
must you calculate? Think PRT.
O Partial amount, interest rate, time
O Principal, review, time
O Principal, interest rate, time
O Pay, rate, terms
unit 5 relationships in triangles homework 1 triangle midsegments
Q10
∠1 = ∠5 = 180° - 144° = 36°∠2 = 56°∠3 = 180° - 56° = 124°∠4 = 144° - 56° = 88°∠5 = ∠1 = 36°Q11
∠1 = 35°∠2 = 180° - 35° = 145°∠3 = 90° - 35° = 55°∠4 = 180° - ∠5 = 180° - ∠3 = 180° - 55° = 125°∠5 = ∠3 = 55°Simplify the expression: 4 + 5(2x - 3) - 6x *
16x + 19
-16x -11
4x -9
4x + 9
Step-by-step explanation:
4+5 (2x-3)-6x
9 (2x-3)-6x
18x-27-6x
12x-27
Answer:
[tex] \sf \: 4x - 11 [/tex]
Step-by-step explanation:
Given expression,
→ 4 + 5(2x - 3) - 6x
Let's simplify the expression,
→ 4 + 5(2x - 3) - 6x
→ 4 + 10x - 15 - 6x
→ (10x - 6x) + (4 - 15)
→ (4x) + (-11)
→ 4x - 11
Hence, the answer is 4x - 11.
please help!!!!!
Solve.
−4/9x+2.4=6
Enter your answer as a decimal or as a mixed number in simplest form in the box.
x =
-8.1
Step-by-step explanation:
[tex] \frac{ - 4}{9} x + 2.4 = 6[/tex]
Times all by 9 to get rid of fraction
[tex] - 4x + 21.6 = 54[/tex]
Take 21.6 away from both sides
[tex] - 4x = 32.4[/tex]
Divide by -4
[tex]x = - 8.1[/tex]
Answer: -8 1/10
Step-by-step explanation:
Find the coordinates of the points D (4,-4) and E (5,-5) after the transformation (x,y) →
(x+ 3. y -5)
D = (7, -9)
E = (8, -10)
hope this helps!
Jimmy takes a loan of 10,000$ at 12% per year as rate of interest . Find the amount, he will be required to pay after 1 year to settle the loan .
kindly stay out if u don't know the answer :)
spams , plagiarism = reported
Thanks for answering...
Answer:
1200 I THINK
Step-by-step explanation:
Answer :-
11200Step by step explanation :-
Here,
Principal = 10,000Time = 1 year rate = 12 %The intrest payable on 100$ for 1 year = 12 $
The interest payable on 10,000$ borrowed for 1 year
[tex]( \frac{12}{100} \times 10000)[/tex][tex]1200[/tex]so, at the eand of the year , he has to give an amount of $ ( 10,000 + 1200 )
11200 $
1. A hot air balloon 4s anchored to the ground by a 152-foot long
rope. The balloon hovers 132 feet above the ground. Which
statement is true?
(a) The angle the rope makes with the ground is about 30"
(B) The angle the rope makes with the ground is about 67
(C) The horizontal distance between the anchor and balloon is about 201 feet.
(D) The horizontal distance between the anchor and the balloon is about 75
foot,
19
100 students are interviewed to see which of biology chemistry or physics , they prefer 30 students are girls 16 of the girls like biology 9 of the boys prefer physics 2 out of the 34 who prefer physics are girls what percentage prefer biology
Well, it says that 34 kids like physics and since there is 100 students, we know 34% of the kids like physics. This means 66% like biology.
The triangles are congruent due to which criteria?
SAA
SAS
SSS
HL
Answer:
SAS is the answer
Step-by-step explanation:
Answer:
HL.
Step-by-step explanation:
Right triangles with the hypotenuse and one leg congruent
What is the value of x + y for the system of equations y= 2x - 2 and y= 4x + 6?
Answer:
x= -1
y= 2
Step-by-step explanation:
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2
y-intercept = 2/1 = 2
When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x= -1
x-intercept = 2/-2 = 1/-1 = -1
plssssssssssssssssss
Answer:
1. RQP
2. QOP
Step-by-step explanation:
the answer for the first question is RQP and the answer for the second question is QOP
Answer:
i)PQO
ii)QOP
Step-by-step explanation:
Please help! I’m so confused.
Answer: M = 12.50
Step-by-step explanation:
If the polynomial
[tex] {x}^{19} + {x}^{17} + {x}^{13} + {x}^{11} + {x}^{7} + {x}^{5} + {x}^{3} [/tex]
is divided by (x² + 1), then the remainder is:
(a) 1
(b) x² + 4
(c) -x
(d) x
Please solve this for me. Spam free answer required. Thank you.
Answer:
(C) - xStep-by-step explanation:
Given polynomial:
x¹⁹ + x¹⁷ + x¹³ + x⁷ + x⁵ + x³Group as follows:
(x¹⁹ + x¹⁷) + (x¹³ + x¹¹) + (x⁷ + x⁵) + (x³ + x) - x = x¹⁷(x² + 1) + x¹¹(x² + 1) + x¹⁵(x² + 1) + x(x² + 1) - xAs we see all terms have (x² + 1) as factor apart from the last one.
It means the remainder is - x
Correct choice is C
David makes a pizza with 8 slices of equal size . He covers 5 of the 8 slices with pepperoni. What percentage of the pizza is covered with pepperoni
Answer:
5/8 * 100 = 62.5 %
What is the value of i 20+1?
1
–1
–i
i
Answer:
2
Step-by-step explanation:
i^2 = -1
i^4 = 1
i^20 repeats the cycle 5 times, making i^20 = 1
Answer:
the answer is D) i
Step-by-step explanation: i got it wrong to the bozo who said 1 and it says the answer is i
How many Joules must be added to 45.2 g of iron to raise its temperature from
12.5 °C to 76.8°C?
Answer:
297 J
Step-by-step explanation:
The key to this problem lies with aluminium's specific heat, which as you know tells you how much heat is needed in order to increase the temperature of
1 g
of a given substance by
1
∘
C
.
In your case, aluminium is said to have a specific heat of
0.90
J
g
∘
C
.
So, what does that tell you?
In order to increase the temperature of
1 g
of aluminium by
1
∘
C
, you need to provide it with
0.90 J
of heat.
But remember, this is how much you need to provide for every gram of aluminium in order to increase its temperature by
1
∘
C
. So if you wanted to increase the temperature of
10.0 g
of aluminium by
1
∘
C
, you'd have to provide it with
1 gram
0.90 J
+
1 gram
0.90 J
+
...
+
1 gram
0.90 J
10 times
=
10
×
0.90 J
However, you don't want to increase the temperature of the sample by
1
∘
C
, you want to increase it by
Δ
T
=
55
∘
C
−
22
∘
C
=
33
∘
C
This means that you're going to have to use that much heat for every degree Celsius you want the temperature to change. You can thus say that
1
∘
C
10
×
0.90 J
+
1
∘
C
10
×
0.90 J
+
...
+
1
∘
C
10
×
0.90 J
33 times
=
33
×
10
×
0.90 J
Therefore, the total amount of heat needed to increase the temperature of
10.0 g
of aluminium by
33
∘
C
will be
q
=
10.0
g
⋅
0.90
J
g
∘
C
⋅
33
∘
C
q
=
297 J
I'll leave the answer rounded to three sig figs, despite the fact that your values only justify two sig figs.
For future reference, this equation will come in handy
q
=
m
⋅
c
⋅
Δ
T
, where
q
- the amount of heat added / removed
m
- the mass of the substance
c
- the specific heat of the substance
Δ
T
- the change in temperature, defined as the difference between the final temperature and the initial temperature of the sample
The key to this problem lies with aluminium's specific heat, which as you know tells you how much heat is needed in order to increase the temperature of
1 g
of a given substance by
1
∘
C
.
In your case, aluminium is said to have a specific heat of
0.90
J
g
∘
C
.
So, what does that tell you?
In order to increase the temperature of
1 g
of aluminium by
1
∘
C
, you need to provide it with
0.90 J
of heat.
But remember, this is how much you need to provide for every gram of aluminium in order to increase its temperature by
1
∘
C
. So if you wanted to increase the temperature of
10.0 g
of aluminium by
1
∘
C
, you'd have to provide it with
1 gram
0.90 J
+
1 gram
0.90 J
+
...
+
1 gram
0.90 J
10 times
=
10
×
0.90 J
However, you don't want to increase the temperature of the sample by
1
∘
C
, you want to increase it by
Δ
T
=
55
∘
C
−
22
∘
C
=
33
∘
C
This means that you're going to have to use that much heat for every degree Celsius you want the temperature to change. You can thus say that
1
∘
C
10
×
0.90 J
+
1
∘
C
10
×
0.90 J
+
...
+
1
∘
C
10
×
0.90 J
33 times
=
33
×
10
×
0.90 J
Therefore, the total amount of heat needed to increase the temperature of
10.0 g
of aluminium by
33
∘
C
will be
q
=
10.0
g
⋅
0.90
J
g
∘
C
⋅
33
∘
C
q
=
297 J
I'll leave the answer rounded to three sig figs, despite the fact that your values only justify two sig figs.
For future reference, this equation will come in handy
q
=
m
⋅
c
⋅
Δ
T
, where
q
- the amount of heat added / removed
m
- the mass of the substance
c
- the specific heat of the substance
Δ
T
- the change in temperature, defined as the difference between the final temperature and the initial temperature of the sample
In your case, aluminium is said to have a specific heat of
0.90
J
g
∘
C
.
So, what does that tell you?
how to find the perimeter of a triangle with vertices
Answer:
P = A + B + C
Step-by-step explanation:
Essentially, just add the length of each side. The sum is the perimeter.
Hit brainliest if this was helpful :)
add each side
hope ithelps you