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Gennadij [26K]
1 year ago
12

Do you know has three times as many dimes as quarters the dollar amount of her dimes and quarters is $6.05 how many quarters doe

s she have
Mathematics
1 answer:
vesna_86 [32]1 year ago
5 0

The number of quarters she have 11.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let consider y = quarters; x = dimes

We know that there are 3 times as many dimes as quarters. So we can state that x = 3y.

Then, we say that 25y + 10x = 605

(Value of coin * amount of coins)

Then we substitute x=3y into the equation, yielding:

25y + 10(3y) = 605

25y + 30y = 605

55y = 605

605/55 = 11 = y

Therefore, the number of quarters she have 11.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

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Solve the following exponential equations.<br> 10^(3x−5) = 7^x
zalisa [80]

Answer:

x = 2.3202

Step-by-step explanation:

Given equation:

10^{(3x-5)} = 7^x

on taking log both sides, we get

\log(10^{(3x-5))} =\log(7^x)

now,

using the property of log function

log(aᵇ) = b × log(a)

therefore,

we get

(3x-5)log(10) = xlog(7)

now,

log(10) = 1

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log(7) = 0.84509

thus,

( 3x - 5 ) × 1 = 0.84509x

or

3x - 0.84509x - 5 = 0

or

2.15491x = 5

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x = 2.3202

4 0
3 years ago
A recipe calls for 1/4 cup of apples and 3/8 cup of peaches. how many total fruit will Be used it the recipe. (I'm to lazy to tr
Zina [86]

Answer:

5/8

Step-by-step explanation:

1/4 (2/2)=2/8

3/8 (already simplified)

2/8+3/8=5/8

7 0
2 years ago
What is the number 1,340,000 from standard form to scientific notation
Kisachek [45]
6 1.34*10 Just move it to the left 6 times
7 0
3 years ago
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Cherie is jogging around a circular track. She
skelet666 [1.2K]

Answer:

Measure of minor angle JOG is 95.5^{\circ}

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.  

\therefore m JG = 200 yards, JO=120 yards.  

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle \angle JOG = \theta.

To calculate the central angle, use the arc length formula as follows.  

Arc\:Length\left(s\right) = r\:\theta  

Where \theta is measured in radian.

Substituting the value,

200=120\:\theta  

Dividing both side by 120,

\dfrac{200}{120}=\theta  

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

\therefore \dfrac{5}{3}=\theta  

Therefore value of central angle is \angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}, since angle is in radian

Now convert radian into degree by using following formula,

1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}

So multiplying \theta with \left(\dfrac{180}{\pi}\right)^{\circ} to convert it into degree.

\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}

Simplifying,

\therefore \theta = 95.49^{circ}

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Can anyone help me please?
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