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nadya68 [22]
2 years ago
8

Help me find the answer!! 2-step equation

Mathematics
1 answer:
Vladimir79 [104]2 years ago
8 0

\looparrowright \sf3\leqslant \dfrac{y}{ - 5}  + 7

\looparrowright \sf3 - 7\leqslant \dfrac{y}{ - 5}

\looparrowright \sf - 4\leqslant \dfrac{y}{ - 5}

\looparrowright \sf - 4 \times  - 5\leqslant {y}

\looparrowright \sf 20\leqslant {y}

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Tees and Cops
WINSTONCH [101]

If altogether they spent a total of $71,  and a cap cost $5, then the price of a t-shirt is $8. Option A is correct

From the question, we are told that all caps cost $5 each

Let the cost of each shirt be x:

If Andy bought a t-shirt and a cap for each of his six friends, there will be 6 shirts and 6 caps

If <u>Bob returned two caps and two t-shirts</u>, there will be 4 caps and 4 shirts left

If <u>Carl bought three t-shirts and returned a cap,</u> the number of caps remaining will be 3 caps and the number of shirts remaining will be 7 shirts

If they spent a total of $71, this means;

3(5) + 7x = 71

15 + 7x = 71

7x = 71 - 15

7x = 56

x = 56/7

x = 8

This shows that the price of a t-shirt is $8

Learn more here: brainly.com/question/16510024

3 0
2 years ago
The height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t^2 + 88t where "t" is the time it is
Dvinal [7]

By definition of the zeros of ta quadratic function,  for 5.5 seconds the ball is in the air before it hits the ground.

<h3>Zeros of a function</h3>

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

<h3>Time the ball is in the air before it hits the ground</h3>

In this case, the height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t² + 88t, where "t" is the time it is in the air.

When the ball hits he ground, he height h has a value of zero. This is h=0. Replacing in the previous expression for the height you get:

0= -16t² + 88t

It can be solved by extracting the term "t" as a common factor:

0= t×(-16t + 88)

The Zero Product Principle says that if the product of two numbers is 0, then at least one of the factors is 0. Then:

t= 0

or

0= -16t + 88

Solving: -88= -16t

(-88)÷ (-16)=t

<u><em>5.5= t</em></u>

Finally, this means that for 5.5 seconds the ball is in the air before it hits the ground.

Learn more about the zeros of a quadratic function:

brainly.com/question/12649112

brainly.com/question/21320065

brainly.com/question/12037466

#SPJ1

3 0
1 year ago
Suppose y varies jointly as x and z. If y=15 when x=1/2 and z=6, what is the constant of variation?
Mashcka [7]

Answer:

y= 15

Step-by-step explanation:

Y= Kxz

y=6  x=1/2   z=6

15= K (1/2) (6)

15= K (3)

K= 5

SO

y= (5) (1/2) (6)

Y= 15

4 0
2 years ago
Read 2 more answers
How many meters does 20 yards equal
Yuliya22 [10]

Answer:


Step-by-step explanation:One yard equals 0.9144 meter. Therefore 20 yards = 20 * 0.9144 = 18.288 meters


3 0
3 years ago
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
Whitepunk [10]

Answer:  

0.32 decay

Step-by-step explanation:

3 0
2 years ago
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