Answer:
33 nickels, 17 quarters
Step-by-step explanation:
q=quarters, n=nickels
Since total number of coins = 50 and he only has quarters and nickels,
q + n = 50.
Since a quarter is 0.25 dollars, a nickel is 0.05 dollars, and his total is $5.90,
0.25q + 0.05n = 5.90
Multiply the entire second equation by -4 to get -q and eliminate q from both equations: -4(0.25q + 0.05n = 5.90)
So, q + n = 50
And -q -0.2n = -23.6
Cancel q's and add down to combine both equations, so 0.8n = 26.4
Solve for n by dividing 0.8 by both sides, so n = 33
Plug n back into the first equation: q + 33 = 50 and q is thus 17.
Hope this helps!
Find the sum. Enter your answer in the box below as a fraction, using the
slash mark (/) for the fraction bar.
2/13 + 4/13
Answer:
6/13
Step-by-step explanation:
What is the answer for this math problem
Answer:
The group of all ordered pairs lie on the line is (3, 7), (2, 6), (-2, 2) ⇒ D
Step-by-step explanation:
To solve this type of question, Form the equation of the line and substitute the x-coordinate of each ordered pair to find y, if the value of y equal to the value of the y-coordinate of the point, then the point is on the line
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept (value y at x = 0The rule of the slope of the line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]From the given figure
∵ The line passes through points (-4, 0) and (0, 4)
∴ x1 = -4 and y1 = 0
∴ x2 = 0 and y2 = 4
→ Substitute them in the rule above
∵ m = [tex]\frac{4-0}{0--4}[/tex] = [tex]\frac{4}{0+4}[/tex] = [tex]\frac{4}{4}[/tex]
∴ m = 1
∵ b is the value of y at x = 0
∵ y = 4 at x = 0
∴ b = 4
→ Substitute the values of m and b in the form of the equation above
∴ y = 1(x) + 4
∴ y = x + 4 ⇒ equation of the given line
Let us check every group
∵ The ordered pairs are (7, 3), (6, 2), (2, -2)
∵ y = x + 4
∵ x = 7
∵ y = 7 + 4 = 11
∵ y-coordinate = 3
∴ Point (7, 3) doesn't lie on the line
∵ The ordered pairs are (5, 1), (3, 7), (2, 6)
∵ x = 5
∴ y = 5 + 4 = 9
∵ y-coordinate = 1
∴ Point (5, 1) doesn't lie on the line
∵ The ordered pairs are (3, 7), (2, 6), (2, 2)
∵ x = 3
∴ y = 3 + 4 = 7
∵ y-coordinate = 7
∴ Point (3, 7) lies on the line
∵ x = 2
∴ y = 2 + 4 = 6
∵ y-coordinate = 6
∴ Point (2, 6) lies on the line
∵ x = 2
∴ y = 6
∵ y-coordinate = 2
∴ Point (2, 2) doesn't lie on the line
∵ The ordered pairs are (3, 7), (2, 6), (-2, 2)
∵ x = 3
∴ y = 3 + 4 = 7
∵ y-coordinate = 7
∴ Point (3, 7) lies on the line
∵ x = 2
∴ y = 2 + 4 = 6
∵ y-coordinate = 6
∴ Point (2, 6) lies on the line
∵ x = -2
∴ y = -2 + 4 = 2
∵ y-coordinate = 2
∴ Point (-2, 2) lies on the line
∵ The three ordered pairs lie on the line
∴ The group of all ordered pairs lie on the line is (3, 7), (2, 6), (-2, 2)
∵ The ordered pairs are (1, 5), (-6, 2), (-7, -3)
∵ x = 1
∴ y = 1 + 4 = 5
∵ y-coordinate = 5
∴ Point (1, 5) lies on the line
∵ x = -6
∴ y = -6 + 4 = -2
∵ y-coordinate = 2
∴ Point (-6, 2) doesn't lie on the line
A contractor is building a tower shaped like a tall rectangular prism. He is told that the dimensions of the tower must be 50 ft × 80 ft × 250 ft. The building is to have 20 floors with a 2.5 ft tall portion between each floor and for the roof. What is the volume of each floor of the building?
Answer: 50,000ft^3
Step-by-step explanation: You have to multiply 50, 80, 250 then divide by 20 because you’re looking for the floors only and not the roof and floor
Solve the proportion.
x+1/×-1 = 14/20
A: - 3/17
B: 10/7
C: 7/10
D: -17/3
14x+14=20x-20
-6x=-34
x=34/6=-17/3
D: -17/3
Answer:
D
Step-by-step explanation:
x+1/x-1=14/20
so 20(x+1)=14(x-1)
20x+20=14x-14
20x-14x= -14-20
6x=-34
so x=-17/3
What is the value of -4^2+(5-2)(-6)?
O-34
O-2
O 10
O 34
The value of -4² + (5-2) (-8) is -34.
What is Integer?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
We have expression as -4² + (5-2) (-8)
Now, solving the terms in the expression
-4² = -(4 x 4)= -16
and, (5-2) (-6)
= 3 (-6)
= -18
So, the value of -4² + (5-2) (-6)
= -16 - 18
= -34
Learn more about Integer here:
https://brainly.com/question/15276410
#SPJ1
2.
(04.01) WILL GIVE BRAINLIEST
Which of the tables represents a function? (4 points)
Table A
Input Output
8 −9
8 −8
10 −8
Table B
Input Output
4 11
7 12
7 13
Table C
Input Output
−4 0
−3 3
−2 5
Table D
Input Output
10 0
10 4
3 7
Table A
Table B
Table C
Table D
Answer:
C
Step-by-step explanation:
Answer:
it is c
Step-by-step explanation:
hope this helps
one - step adding/ subtraction equation / multiplication/ division problems
The height of the water in an above ground pool is 36 inches. The pool needs to be drained. As the water drains, the height of the water changes at a rate of -1/2 inch per minute. Write and solve and equation to find out how many minutes it will take to drain the pool.
Answer:
It would take x = 72 minutes to drain the pool.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the rate of change or slope and b is the y-intercept
Let 'y' be the height of the water poolLet 'x' be the time in the minute of the water poolAs the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.
Thus,
y-intercept = b = 36As the water drains, the height of the water changes at a rate of -1/2 inch per minute.
Thus, the rate of change or slope = m = -1/2Thus, using the equation
[tex]y = mx+b[/tex]
substituting m = -1/2 and b = 36
[tex]y\:=\:-\frac{1}{2}x+36[/tex]
We know that when the pool drains, the height of water reduces to zero.
Thus, substituting y = 0 in the equation
[tex]0=-\frac{1}{2}x+36[/tex]
switching sides
[tex]-\frac{1}{2}x+36=0[/tex]
subtract 36 from both sides
[tex]-\frac{1}{2}x+36-36=0-36[/tex]
[tex]-\frac{1}{2}x=-36[/tex]
Multiplying both sides by -2
[tex]\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)[/tex]
[tex]x=72[/tex]
Therefore, it would take x = 72 minutes to drain the pool.
how do you graph x ≥ 6 and
x ≥ -0.6
on a line graph
Step-by-step explanation:
A line graph, or a number line, has the numbers on different points along the graph. It's a little hard to explain since I can't draw one, but for x>=6, jut plot 6 on the number line as normal. Then since it could be equal to six, put a closed circle (if it wasn't equal to then it would be an open circle).
Now since x is greater than, draw an arrow to the right (since the numbers increase the farther right you go). The follow the same idea for the other one.
Answer:
Look at the Picture.
Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
Since the greater than sign is used, the circle will be filled in.
Since x is greater than the number, the line arrow will go in the direction of the number that is greater than it.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
Explain how you found your answer
Answer:
let the total cost of a rug be x
then
30% of x =75
30/100*x =75
3x=750
x=750/3 = 250
Marc owe = 250-75 =175
Step-by-step explanation:
Complete the table.
y = f(g(x))
u = g(x)
y = f(u)
y = 8 tan(itx5) u =
I
y = 8 tan u
9514 1404 393
Answer:
u = x +14 u = πx^5Step-by-step explanation:
I find it easiest to match the patterns. You could also work this by finding inverse functions.
1.
[tex]y=u^{-1/2}\\\\y=\dfrac{1}{\sqrt{u}}=\dfrac{1}{\sqrt{x+14}}\\\\u=x+14 \qquad\text{match radical contents}[/tex]
__
2.
[tex]y=8\tan{u}=8\tan{(\pi x^5)}\\\\u=\pi x^5 \qquad\text{match tangent arguments}[/tex]
15r-15s=
can you help
Answer:
=15r−15s
or if it is a factor:
15(r−s)
Can some one help meeee
Answer:
With what? there is nothing here
Step-by-step explanation:
Help me out here please I need some help here
3 1 R7 12 8 27 - 2 4 1 2 O 00 7 4 0 7
What is it
Simplify
5(6-3)+2
Answer:
Step-by-step explanation:
17
PLEASE HELP IT DUE RIGHT NOW!! PLEASE EXPLAIN THE STEPS TO THIS TOO!!
Answer: y int = -1.5
Slope = -1/4
Step-by-step explanation: y int is the point at which the line cross the y axis.
Slope = rise/run
Starting from the point on the left of the graph (-6,0) and going the the other point (2, -2) you can see the it rises -2 point. (0 to -2) the it runs 8 point. (-6 to 2).
Therefore the Slope = -2/8 or -1/4
ill give the crown things
Dash & Lily like to read books. Dash has read 25 books this summer, and Lily has also read some books this summer.
If together they have read 78 books, how many did Lily read?
Answer:
Lily read 53 books
Step-by-step explanation:
78-25=53
Hope this helps! :3
Plz mark as brainliest!
Answer quickly for brainliest!!!
Answer:
Subtract 5 from both sides.
Step-by-step explanation:
Answer:
C. subtract 5 from both sides.
Step-by-step explanation:
when solved, its y=7
х
У
о
12
1
8
N
4
3
о
4
4
Answer:
13
Step-by-step explanation:
Sorry im in 5th grade.
Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio
Answer:
the ratio: 6:1
Step-by-step explanation:
to make it as a ratio :
We will make 4 years as months
So 4x12 =48
then the ratio: 48:8
6:1
hope this helps
Find the factor of 30
Step-by-step explanation:
The factors of number 30 are 1, 2, 3, 5, 6, 10, 15 and 30.
hope it helps!
Answer:
the factors of 30 are 1, 2, 3, 5, 6, 10
Step-by-step explanation:
hope this helps
please mark me as brainliest
Rashawn knows the multiplications 6x4 and 2x4. How can he use their products to find 8x4?
Answer:
Since 6x4=24
and
2x4=8,
we can tell that these answers are common multiples of 8, and so 24 plus 8 equals 32.
Step-by-step explanation:
8x4=32
5/6 × 1/5= 1/6. How the answer came 1/6? Explanation needed.
Answer:
see below
Step-by-step explanation:
5/6 × 1/5= 1/6
Rewrite the fractions
5/5 * 1/6 = 1/6
1 * 1/6 = 1/6
1/6 = 1/6
Answer:
below
Step-by-step explanation:
[tex] \frac{5}{6} \times \frac{1}{5} [/tex]
divided 5 by 5
[tex] 5 \div 5 = 1 [/tex]
multiply 1 by 1/6
[tex] 1 \times \frac{1}{6} [/tex]
hence,
[tex] = \frac{1}{6} [/tex]
I need help!!! Please figure it out and type it out.
Answer:
the mean number is 2.7
Step-by-step explanation:
if you add up the frequency of books then divide by 20 you get 2.7
Here are three symbols.
<
>
=
Write one of these symbols in each box to make four true state
Step-by-step explanation:
4 + 9 = 3 ^ {2}
13=3^{2}
13=9
Answer:
a. <
b. =
c. =
d. >
these are correct I guess
Please help thank u I appreciate it
9514 1404 393
Answer:
m∠ADC = 86°
Step-by-step explanation:
The sum of angles making a straight angle is 180°, so we have ...
(6x +52)° +(9x +23)° = 180°
15x = 105 . . . . . subtract 75°, collect terms, divide by °
x = 7 . . . . . . . . . divide by 15
m∠ADC = (9·7 +23)°
m∠ADC = 86°
Here given that ,
Line BDA is a straight line Angles on the line BDA are ∠BDC & ∠ADCAs we know that , sum of angles on a straight line is always equal to 180° . So ,
=> ( 6x + 52 ) ° + ( 9x + 23 ) ° = 180°
=> 15x + 75° = 180°
=> 15x = 180° - 75°
=> 15x = 105°
=> x = 105°/15
=> x = 7°
Now , by the given information , we need to find the value of ∠ADC
∠ADC = ( 9x + 23 ) °Now substituting the value of x ,
⇒ ∠ADC = 9x + 23
⇒ ∠ADC = 9 ( 7 ) + 23
⇒ ∠ADC = 63 + 23
⇒ ∠ADC = 86°
Use the given numbers.
146,406
364,640
344,636
Part A
Which number has one digit that represents ten times the value of the digit to its right?
Enter your answer in the box.
Answer:
on the third number it says 344,636 and there is a double 4
The area of a rectangular field is 200 m²and its perimeter is 60 m. Find the lengthand width of the field.
Answer:
length: 20m
width: 10m
(or vice versa)
Step-by-step explanation:
By substituting each of the values (20 meters for length and 10 meters for width), you will receive answers that satisfy each of the given traits of the rectangle:
200=20x10
200=200
60=2(20)+2(10)
60=40+20
60=60
Use the following coordinate plane to write the ordered pair for each point.
If you can PLZ help
Answer:
For A it is 0,5
For B it is 1,3
For C it is 4,3
Translate this sentence into an equation.
108 is the product of Carlo's age and 6.
Answer:
Step-by-step explanation:
Let Carlo's age = x
Equation: 6*x = 108
6x = 108
Solution:
6x = 108
x = 108/6
x = 18
Carlo's age = 18 years
Answer:
Solution :-Let the age of Carlo be x
[tex] \tt \: equation \longrightarrow \: 6x = 108[/tex]
Age
[tex] \tt \: 6x= 108[/tex]
[tex] \tt \: x \: = \dfrac{108}{6 } = 18[/tex]