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2 years ago

Did Suzie solve the problem correctly?

Mathematics

1 answer:

Snezhnost [94]2 years ago

3 0

Well what’s the problem??

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A jar containing only dimes and quarters contains a total of 54 coins. The value of all the coins in the jar is $9.15. Solve by

Paladinen [302]

Answer: the jar contains 29 dimes and 25 quarters.

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a quarters is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

Let x represent the number of dimes contained in the jar.

Let y represent the number of quarters contained in the jar.

A jar containing only dimes and quarters contains a total of 54 coins.. This means that

x + y = 54

The value of all the coins in the jar is $9.15. This means that

0.1x + 0.25y = 9.15 - - - - - - - - - - - 1

Substituting x = 54 - y into equation 1, it becomes

0.1(54 - y) + 0.25y = 9.15

5.4 - 0.1y + 0.25y = 9.15

- 0.1y + 0.25y = 9.15 - 5.4

0.15y = 3.75

y = 3.75/0.15 = 25

x = 54 - y = 54 - 25

x = 29

7 0

3 years ago

Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

otez555 [7]

We can write the function in terms of y rather than h(x) so that:

y = 3 (5)^x

A. The rate of change is simply calculated as:

r = (y2 – y1) / (x2 – x1) where r stands for rate

Section A:

rA = [3 (5)^1 – 3 (5)^0] / (1 – 0)

rA = 12

Section B:

rB = [3 (5)^3 – 3 (5)^2] / (3 – 2)

rB = 300

B. We take the ratio of rB / rA:

rB/rA = 300 / 12

rB/rA = 25

So we see that the rate of change of section B is 25 times greater than A

7 0

3 years ago

Quadrilateral ABCD has the following vertics:A( -3,0) B (7,2) C (1,-4) D (-9,-6) is Quadrilateral A B C D a parallelgram, and wh

alekssr [168]

Answer:

in my opinion I think it parallelogram because it has four sides which are A,B,C,D

7 0

3 years ago

Solve for x in the equation below(all in picture).

EleoNora [17]

Answer:

x = - 5, x = 2

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ( $\frac{x}{y}$ )

$log_{b}$ x = n ⇔ x = $b^{n}$

note that log x = $log_{10}$ x

Given

log (x² + 3x) - log10 = 0, then

log( $\frac{x^2+3x}{10}$ ) = 0, thus

$\frac{x^2+3x}{10}$ = $10^{0}$ = 1 ( multiply both sides by 10 )

x² + 3x = 10 ( subtract 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

Solution is x = - 5, x = 2

6 0

2 years ago

Read 2 more answers

Find the perimeter of a rectangle with sides 3x + 6 and -2x -8

vazorg [7]

Answer:

2x - 4

Step-by-step explanation:

2(3x + 6) = 6x + 12

2(-2x - 8) = -4x -16

6x + 12 - 4x - 16 = 2x - 4

3 0

3 years ago

Read 2 more answers