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sergij07 [2.7K]
3 years ago
6

The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x+12=48,where x represents

the cost of a. Ticket.how much is one ticket
Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

Answer:

x=9; one ticket is $9

Step-by-step explanation:

4x+12=48

4x=48-12

4x=36

x=36/4

x=9

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Sandra throws an object straight up into the air with initial velocity of 38 ft per square from platform that is 30 ft above the
expeople1 [14]

Answer:

3 seconds.

Step-by-step explanation:

We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.

To find the time it will take for object to hit the ground, we will use formula:  

h(t)=-16t^2+v_0t+h_0, where, v_0 represents initial velocity and h_0 represents initial height.

Upon substituting our given initial velocity and initial height, we will get:

h(t)=-16t^2+38t+30

We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:

-16t^2+38t+30=0

Divide by 2:

-8t^2+19t+15=0

Upon using quadratic formula, we will get:

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-19\pm\sqrt{19^2-4(-8)(15)}}{2(-8)}

t=\frac{-19\pm\sqrt{361+480}}{-16}=\frac{-19\pm\sqrt{841}}{-16}

t=\frac{-19\pm29}{-16}

t=\frac{-19-29}{-16},t=\frac{-19+29}{-16}

t=\frac{-48}{-16},t=\frac{10}{-16}

t=3,t=-\frac{5}{8}

Since time cannot be negative, therefore, it will take 3 seconds for object to hit the ground.

7 0
3 years ago
A flashlight is projecting a triangle onto a wall, as shown below.
zavuch27 [327]

Answer:

Hence the correct option is 3rd option. 40

Step-by-step explanation:

If two figures are similar, then the ratio of the corresponding sides is proportional.

\frac{15}{30} =\frac{20}{n} \\\\n=\frac{30 \times 20}{15} \\\\n= 40.

6 0
2 years ago
Please help. Flow chart proof. I'll give brainliest
AveGali [126]

Step-by-step explanation:

Statement | Reason

CB=AB         Given

DBC=DBA   Given

DB = DB      Reflexive Property

/_\ DBC

=~

/_\DBA        SAS

Sorry for the formatting the =~ means congruent.

4 0
2 years ago
Whats 2+2tgggggvvvvvvv
amid [387]

Answer:

is this a joke? xd. 2+2=4.

4 0
3 years ago
Read 2 more answers
Collette wanted to know if there was a difference in favorite food types among students at her large high school. She took a ran
AleksandrR [38]

Answer:

(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

Step-by-step explanation:

Given :

n(American) = 29

n(Chinese) = 16

n(Mexican) = 19

n(Italian) = 28

Expected value = (29 + 16 + 19 + 28) / 4

Where, 4 = sample size

Expected value, E = 23

χ² = (Observed value - Expected value)² / expected value

χ² = (29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

3 0
3 years ago
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