1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kari74 [83]
3 years ago
13

Ashley has $9.05 in dimes and nickels. If she has a total of 108 coins, how many of each type does she have?

Mathematics
1 answer:
klemol [59]3 years ago
6 0

Answer:

73\:\mathrm{dimes},\\35\:\mathrm{nickels}

Step-by-step explanation:

We can write the following system of equations:

\begin{cases}10d+5n=905,\\d+n=108,\\\end{cases}, where d is the number of dimes she has and n is the number of nickels she has.

Multiply the second equation by -5 and add both equations to solve for d:

\begin{cases}10d+5n=905,\\-5d-5n=-540,\\\end{cases}\\5d=365,\\d=\fbox{$73$}.

Plug d=73 into any equation to solve for n:

73+n=108, \\n=\fbox{$35$}

You might be interested in
PLSSSS HELPP MEEEEE BRAINLIEST REWARDD
Lubov Fominskaja [6]

Answer:

40.) the third one

42.)the last one

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
According to industry sources, online banking is expected to take off in the near future. The projected number of households (in
Airida [17]

Answer:

(a) The least-square regression line is: y=4.662+2.709x.

(b) The number of households using online banking at the beginning of 2007 is 31.8.

Step-by-step explanation:

The general form of a least square regression line is:

y=\alpha +\beta x

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>α</em> = intercept

<em>β</em> = slope

(a)

The formula to compute intercept and slope is:

\begin{aligned}        \alpha  &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}  \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        \end{aligned}

The values of ∑<em>X</em>, ∑<em>Y</em>, ∑<em>XY</em> and ∑<em>X</em>² are computed in the table below.

Compute the value of intercept and slope as follows:

\begin{aligned}        \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 68.6 \cdot 55 - 15 \cdot 218.9}{ 6 \cdot 55 - 15^2} \approx 4.662 \\ \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 218.9 - 15 \cdot 68.6 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 2.709\end{aligned}

The least-square regression line is:

y=4.662+2.709x

(b)

For the year 2007 the value of <em>x</em> is 10.

Compute the value of <em>y</em> for <em>x</em> = 10 as follows:

y=4.662+2.709x

  =4.662+(2.709\times10)\\=4.662+27.09\\=31.752\\\approx 31.8

Thus, the number of households using online banking at the beginning of 2007 is 31.8.

5 0
3 years ago
If, P(x,y) is a point on the unit circle determined by real number δ, then tanδ = what
Lisa [10]
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}&#10;=\cfrac{y}{r}&#10;=\cfrac{1}{csc(\theta)}&#10;\\ \quad \\\\&#10;% cosine&#10;cos(\theta)=\cfrac{adjacent}{hypotenuse}&#10;=\cfrac{x}{r}&#10;=\cfrac{1}{sec(\theta)}&#10;\\ \quad \\\\&#10;% tangent&#10;tan(\theta)=\cfrac{opposite}{adjacent}&#10;=\cfrac{y}{x}&#10;=\cfrac{sin(\theta)}{cos(\theta)}

\bf cot(\theta)=\cfrac{adjacent}{opposite}&#10;=\cfrac{x}{y}&#10;=\cfrac{cos(\theta)}{sin(\theta)}&#10;\\ \quad \\\\&#10;% cosecant&#10;csc(\theta)=\cfrac{hypotenuse}{opposite}&#10;=\cfrac{r}{y}&#10;=\cfrac{1}{sin(\theta)}&#10;\\ \quad \\\\&#10;% secant&#10;sec(\theta)=\cfrac{hypotenuse}{adjacent}&#10;=\cfrac{r}{x}&#10;=\cfrac{1}{cos(\theta)}\\\\&#10;-------------------------------\\\\&#10;P(x,y)\implies \delta\qquad tan(\delta)=\cfrac{y}{x}
5 0
3 years ago
Which is a perfect cube? <br> 24?<br> 27?<br> 33?<br> 36?
In-s [12.5K]

Answer:

27

Step-by-step explanation:

A perfect cube is a number that can be cubed into an integer.  The only number here is 27, which is 3^3

6 0
3 years ago
Read 2 more answers
Pls solve for x hurry !
wariber [46]

Answer:

7

Step-by-step explanation:

7x + 68 = 2x + 103

Subtract 2x from each side

5x + 68 = 103

Subtract 68 from each side

5x = 35

divide 5 from 35 and you get X = 7

6 0
3 years ago
Other questions:
  • In your own words, explain the place value relationship when the same two digits are next to each number in a multi-digit number
    14·1 answer
  • Kyra and five friends shared a bag of fruit snacks. Each person got no more than 3 fruit snacks. The inequality x÷6 &lt;3 repres
    14·2 answers
  • How are parallelograms related to triangles and rectangles?
    14·1 answer
  • I’ll mark brainly answer correct
    12·2 answers
  • A box contains 17 balls numbered 1 through 17. Two balls are drawn in succession without replacement. If the second ball has the
    13·1 answer
  • Which one is the correct answer, and why?
    7·1 answer
  • What must be the value of x?
    15·2 answers
  • Write the slope-intercept form of the equation of each line?
    15·1 answer
  • 9 kg of washing powder cost $10.80. What is the cost of 1 kg of washing powder?
    5·2 answers
  • A garden has a perimeter of 160 feet. The length is 12 more than the width. Find the length width of the garden.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!