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pickupchik [31]
1 year ago
14

A piggy bank is full of dimes and quarters. The total

Mathematics
1 answer:
Talja [164]1 year ago
3 0

She has  27 quarters and 73 dimes.

Write a system of equations.

Let x be the number of quarters, and y be the number of dimes.

x+y=100

0.25x+0.10y=14.05

Solve by substitution:y=100−x

∴0.25x + 0.10(100 - x) = 14.05

0.25x+10−0.10x=14.05

0.15x+10=14.05

0.15x=4.05

x=27

Solve for y now:

y+27=100

y=100−27

y=73

Hence, She has 27 quarters and 73 dimes.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

Finding the values of the variables that cause the equality to hold true is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.

To learn more about account form the given link:

brainly.com/question/10413253

#SPJ9

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Find a polynomial with a degree of 3, and the zeros 1,7, & -4 with no other zeros.
jarptica [38.1K]

Answer:

f(x)=(x+4)(x-7)(x-1)

Step-by-step explanation:

zeroes are when you plug in that x value and get y=0

therefore if you set x = that number and solve for 0 you get a "function"

multiplying these together will yield the complete 3rd degree polynomial

x = 1

x-1=0

x=7

x-7=0

x=-4

x+4=0

f(x)=(x+4)(x-7)(x-1)

If needed you could expand but I'm too lazy

5 0
2 years ago
A customer went to a garden shop and bought some potting soil for $12.50 and 5 shrubs. The total bill was $62.50. Write and solv
lesya692 [45]

Answer:  Equation:  5x = 62.50 - 12.50    or   x = \frac{62.50-12.50}{5}  

x is the cost of each shrub  x = $10

Step-by-step explanation:  Total bill = $62.50.

Subtract the cost of potting soil for $12.50 to find the cost of just the shrubs.   5x  equals that amount

5x = 62.50 - 12.50

5x = 50   divide both sides by 5  

5x/5 = 50/5

x = 10

6 0
3 years ago
HELPPPPPPPPPPP PLEASEEEEEEE <br> What point does the line pass through?
Lina20 [59]

Answer:

It passes through (1,1).

5 0
2 years ago
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HELP, I’M STUCK !
vaieri [72.5K]

Since P(<em>X</em> = <em>x</em>) = 0.3 for all 0 ≤ <em>x</em> ≤ <em>α</em>, we have

\displaystyle\int_{-\infty}^\infty P(X=x)\,\mathrm dx=1\implies0.3\int_0^\alpha\mathrm dx=0.3\alpha=1\implies\alpha=\dfrac{10}3

So,

P(X>2) = \displaystyle\int_2^\infty P(X=x)\,\mathrm dx=0.3\int_2^{\frac{10}3}\mathrm dx

P(X>2)=0.3\left(\dfrac{10}3-2\right)=\boxed{\dfrac25}

6 0
2 years ago
PLEASEEEEEEE HELPPPPP
coldgirl [10]

If their perimeters are equal, we can add up all the side lengths of each triangle, and set the perimeters equal to each other to find the value of x that satisfies the equation:

x - 2 + x + 3x + 1 = 2x - 5 + x + 4 + 6x - 7

Combine like terms:

5x - 1 = 9x - 8

And finally, solve for x:

7 = 4x

x = \frac{7}{4}

Therefore, x is equal to \frac{7}{4}.

<em>Hope this helps! :)</em>

6 0
3 years ago
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