A boy has 11 coins in dimes and quarters. Their value is $170. How many of each does he have? (Hint: Let x be the number of quarters and 11 - x be the number of dimes.)​

Answers

Answer 1

Answer:

x - number of dimes, y - number of quarters

x + y = 11

0.10 x + 0.25 y = 1.70

0.10 x + 0.25 ( 11 - x ) = 1.70

We can solve it:

0.10 x + 2.75 x - 0.25 x  = 1.70

0.15 x = 1.05

x = 1.05 : 0.15        

x = 7  ( a boy has 7 dimes and 4 quarters )

Answer: D ) 0.10 x + 0.25 ( 11 - x ) = 1.70

Step-by-step explanation:


Related Questions

Triangle JKL is shown below.
K
24
L
28
Which equation should be used to find the
length of JK?

Answers

where are the answer choices ?

write a unit rate for 25 pounds in 10 weeks

Answers

Step-by-step explanation:

Answer:

= 2.5 Pounds per Week

Showing Work

This is a fraction equal to

25 Pounds ÷ 10 Weeks

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 10

25 Pounds ÷ 10

10 Weeks ÷ 10

=

2.5 Pounds÷1 Week

=

2.5 Pounds

__________

Week

= 2.5 Pounds per Week

Plz, answer this question plz!

Answers

Answer:

the second option im pretty sure

Answer:

4/48. I don't know for sure, but I think B is the correct answer

A box of 500 envelopes costs $14.89. Before buying, Mr. Ruiz wants to know the price for one envelope. His son Alan quickly makes a calculation and says, "You can buy almost 34 envelopes for $1.00." Here is Alan's work. 500 500 +14.89 33.6 $14.89 $ 14.89 +14.89 $1.00 Mr. Ruiz thanked his son, but said that was not the answer he was looking for. What is the cost for one envelope to the nearest whole number in cents?
PLEASE HELP ME DON'T ANSWER IF YOUR NOT SURE!!​

Answers

Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation: hope this helps

What expressions represent the sum of 2 divided by x and 15

Answers

Idiomatically speaking, to write a function “in terms of” a given variable or variables means to write an algebraic expression using only that variable or variables. So for instance, given an equation x+2y−3z=0, we can solve for z in terms of x and y as z=13(x+2y).

HELP PLEASE!! need this asap.
y = 4x + 3
y = -x - 2

Answers

Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest

Step-by-step explanation:

pls help! ill give brainless to the best answer !!

what is 25% of 75? show your work.

Answers

Answer:

18.75

Step-by-step explanation:

25% of 75 =

0.25 x 75 =

18.75

Hope that helps!

Answer:

18.75

Step-by-step explanation: I don't really know what work to show it was all mental

What does S in Math means?

Answers

Step-by-step explanation:

subtract

i think this

someone help please ⠀




Answers

Answer:

3/5 = 0.6 = 60%

16/25 = 0.64 = 64%

11/20 = 0.55 = 55%

4/25 = 0.16 = 16%

17/100 = 0.17 = 17%

7/20 = 0.35 = 35%

give the lowest common multiple and the highest common factor for each pair of numbers 100 and 132​

Answers

Answer:

LCM,

(Least common multiple)

100 and 132 is 3300

The GCF

(Greatest common factor)

100 and 132 is 4

Please hurry this is 7th grade hon

Answers

Answer:

1. place the circle on -1

2. open circle

3. Left

Step-by-step explanation:

a car accelerates from 25 km/hr to 55 km/hr in 30 seconds. what is its accelerates ?

Answers

Here's link to the answer:

tinyurl.com/wpazsebu

PLISS ANSWER :C DONT ANSWER IF YDK THAnKSSS
*also pls look at both images :)*

Answers

Answer:

First image: (6, -1)

2nd image: y = 63

Explanation:

1)

2x + y = 11

1/2x - 5y = 8

y = -2x + 11

1/2x - 5(-2x + 11) = 8

1/2x + 10x - 55 = 8

10.5x - 55 = 8

10.5x = 63

x = 6

2x + y = 11

2(6) + y = 11

12 + y = 11

y = -1

(x , y) = (6, -1)

2)

1/4(8y - 4.8) = 2 (0.9y + 5.4) + 3/5

2y - 1.2 = 1.8y + 10.8 + 0.6

0.2y - 1.2 = 11.4

0.2y = 12.6

y = 63

james bought an ipad for $450 his friends carl buys the same one for 12% off how much did carl pay

Answers

Answer:

$365.99

Step-by-step explanation:

$450 - 12% = $365.99

a=960 rounded to the nearest 10
b=89.0 rounded to 1 DP
Find the minimum (to 2 DP) of a÷b

Answers

Step-by-step explanation:

a÷b=960÷89=10.78651685=10.79 or 17.8

Given the equation of the line -6x + 2y = 10

Answers

Answer:

x=  1 /3 y+ −5 /3

y=3x+5

Step-by-step explanation:

brainliest?

Answer:

Give my man brainliest

Step-by-step explanation:

Don't report this

please help asap.1-5.

Answers

1) x-(-6)
2) n/-7
3)y+(-4)
4)add +8 to the right side
5) divide 5 from the right side

Sry if some on them are wrong

write an equation of the line that passes through the given points (3,1) (0,10)

Answers

Answer:

y = -3x + 10

Step-by-step explanation:

10-1/0-3 = -3

y = -3x + b

1 = -3(3) + b

1 = -9 + b

10 = b

check your answer:

10 = -3(0) + 10

10 = 10

b should be 10

Justin went out to lunch. His bill was $3.18. If he gave the waitress $10.00, how much change should he receive? A. $7.82 B. $5.82 C. $6.82 D.

Answers

$10.00 - $3.18= C. $6.82

Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]

Answers

Answer:

θ = [tex]\frac{\pi }{3}[/tex] (60° )

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

cos²θ - sin²θ = 2 - 5cosθ

cos²θ - (1 - cos²θ) = 2 - 5cosθ

cos²θ - 1 + cos²θ = 2 - 5cosθ

2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )

2cos²θ + 5cosθ - 3 = 0 ← in standard form

(cosθ + 3)(2cosθ - 1) = 0 ← in factored form

Equate each factor to zero and solve for θ

cosθ + 3 = 0

cosθ = - 3 ← not possible as - 1 ≤ cosθ  ≤ 1

2cosθ - 1 = 0

cosθ = [tex]\frac{1}{2}[/tex] , so

θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )

Answer:

[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex]

[tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]

[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]

Find the smallest value of m such that the LCM of m and 34 is 374.

Answers

Answer:

11

first you use a number tree

34 374

/\ /\

2 17 2 187

/\

11 17

express the numbers in prime factors

374=2×11×17

34 =2×17

in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17

So m factors are 2 and 11

which means m is 2×11=22

22 in its smallest form is 11

What the answer someone help me!!!

Answers

Step-by-step explanation:

the answer to your question is

16/9

Answer:

16/9

Step-by-step explanation:

remove the bracket

100 POINTS! PLEASE HELP!!
Hey y'all! I haven't gotten a correct answer/explanation for this question and I struggling so if someone could help, I'd really appreciate it! :)

Suppose RT= 16 in. and ST= 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.

Answers

Step-by-step explanation:

yes it possible to find the length of tu

Question 16
What is the slope of a line passing through (2, 2) and (3,5)?

Answers

5 because of slope equation

Order the following numbers from least to greatest : 2.67 5.28 1.73 4.92 2.56

Answers

Answer:

is this helpful i hope it is

Re-write the quadratic function below in Standard Form?
y = –2(x + 4)(x - 3)

Answers

y = -2(x + 4)(x - 3)

y = -2(x² + x - 12)

y = -2x² -2x + 24

Convert the equation into standard form.

25x2 – 9y2 + 200x + 18y + 166 = 0

StartFraction (x minus 8) squared Over 9 EndFraction minus StartFraction (y + 2) squared Over 25 EndFraction = 1
It's D on edge

Answers

Answer:

d

Step-by-step explanation:

it says it in the question lol

Answer:

The answe is D on edge

Step-by-step explanation:

HELP ME PLEASE (no links)

Answers

Answer:

y = 1.5x

Step-by-step explanation:

We are to find the equation of the straight line

Using the coordinate (0, 0) and (200, 300)

Slope m = 300-0/200-0

m = 300/200

m = 1.5

Since the line pass through the origin, the y intercept is 0

Substitute m = 1.5 and b =0 into y = mx+b

y = 1.5x + 0

y = 1.5x

This gives the required equation

substitution 2x - 3y + = -45, x + 6y = 45

Answers

Answer:

y = 9

x = -9

Step-by-step explanation:

2x - 3y + = -45

x + 6y = 45,   x = 45 - 6y

substitute for x:

2(45 - 6y) - 3y = -45

90 - 12y - 3y = -45

combine like terms:

90 - 15y = -45

15y = 135

divide both sides of the equation by 15:

y = 9

x = 45 - 6(9) = -9

what is the exact value of cos5pie/12

Answers

Answer:

Exact Form: −e12

Decimal Form: −0.22652348…

Step-by-step explanation:

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