Seven less than the sum of p and t is as much as 6

Admission fee to park is 1.5 for child and 4 dollars for adult. 302 people entered park total dollars collected 928. How many ch

Vilka [71]

Answer:

No. of adults = 302 - x = 302 - 112 = 190

Step-by-step explanation:

Let no. of child = x

Total people = 302

No. of adults = 302 - x

Now from the given data

Admission fee to park for child = 1.5

Admission fee to park for adult = 4

Total fee collected from children = 1.5 x

Total fee collected from adults = 4 × (302 - x)

Total fee collected = 928

1.5 x + 4 × (302 - x) = 928

1.5 x + 1208 - 4 x = 928

2.5 x = 1208 - 928 = 280

x = 112

Therefore no. of child = x = 112

No. of adults = 302 - x = 302 - 112 = 190

3 0

3 years ago

Find the nonpermissible replacement for y in the expression y-3/y+3

Nastasia [14]

Answer:

The nonpermissible replacement of the variable y is -3

Step-by-step explanation:

The nonpermissible replacement of the variable in a certain expression is the value of the variable that will make the denominator of the expression zero.

The expression $\dfrac{y-3}{y+3}$ has the denominator $y+3.$

This denominator cannot be equal zero, thus,

$y+3\neq 0,\\ \\y\neq -3.$

7 0

3 years ago

Example 2.20

mixas84 [53]

The period of days (value of x) for which Faizal promised to pay the bank RM 2,000 after getting 7% discounted present value of RM 1,930 is <em>180 days.</em>

The value of x is the period of days (number of days) that the loan from the bank will last before Faizal, who received RM 1,930 discounted at 7%, would repay the bank the principal and interest of RM 2,000.

This implies that Faizal is paying an interest of RM 70 (RM 2,000 - RM 1,930), since he borrowed RM 1,930 and will repay RM 2,000.

Data and Calculations:

Present value of loan received = RM 1,930

Discount rate per year = 7%

Future value of the loan to be repaid to the bank = RM 2,000

Interest expense for one year based on 7% = RM 140 (RM 2,000 x 7%)

Interest expense for 180 days or 6 months = RM 70 (RM 2,000 - RM 1,930) or (RM 2,000 x 7%) x 180/360

Interest expense that equals RM 70 will be half of a year or 180 days (RM 140 * 180/360)

Thus, the period of days (x) that will lapse for Faizal to repay the bank is 180 days or half of a year (6 months).

Learn more about time period of a loan here: brainly.com/question/19118285

7 0

3 years ago

Find the value of r so the line that passes through each pair of points has the given slope.

3241004551 [841]

Answer:

r = 1

Step-by-step explanation:

slope = change in y / change in x, so:

change in y / change in x = 2/3

5 - r / 7 - 1 = 2/3

5 - r / 6 = 2/3

$\frac{5-r}{6}=\frac{2}{3}$

now solve this equation.

first, multiply both sides by 6 to get rid of the fraction:

$5 - r = 4$

subtract 5 from both sides

$-r=-1$

multiply both sides by -1

$r=1$

7 0

3 years ago

Jesse recorded the temperatures at which two oils freeze: Oil Temperature Sesame oil −6.2 °C Peanut oil 3.1 °C Which statement a

AVprozaik [17]

Answer: C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C

Step-by-step explanation:

Given that:

Freezing point of sesame oil = - 6.2°C

Freezing point of peanut oil = 3.1°C

Comparing the two temperatures :

Freezing(when a substance turns to solid) usually occurs at low temperatures. The temperature of sesame oil(-6 2°C) is lower than that of peanut oil(3.1°C).

Hence, it can be concluded that Sesame oil freezes at lower temperature than peanut oil.

Mathematically,

-6.2°C < 3.1°C

6 0

3 years ago

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