Answer:
13 quarters and 21 nickels
Step-by-step explanation:
In this problem, a random person has $4.30 in his/her piggy bank. That is only nickels (0.05) and quarters (0.25). There are 8 more nickels than quarters. With that info, I can use the equation 0.25x + 0.05(x + 8) = 4.3 to figure out how many nickels and quarters there are.
0.25x + 0.05(x + 8) = 4.3 (Use the distributive property to multiply 0.05 by x and 8)
0.25x + 0.05x + 0.4 = 4.3 (Add 0.25x to 0.05x to get 0.3x)
0.3x + 0.4 = 4.3 (Subtract 0.4 from both sides)
0.3x = 4.3 - 0.4 (Subtract 0.4 from 4.3)
0.3x = 3.9 (Divide both sides by 0.3)
x = 3.9/0.3 (Divide 3.9 by 0.3)
x = 13
Knowing that there are 8 more nickels than quarters, I can degree there are 13 quarters and 21 nickels.
Substitute x for 13 in the equation to see if this is true.
0.25(13) + 0.05(13 + 8) = 4.3
3.25 + 0.05(21) = 4.3
3.25 + 1.05 = 4.3
4.3 = 4.3
So, x is 13.
There are 13 quarters and 21 nickels do we have.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
$4.30 in your piggy bank with only nickels and quarters. You have 8 more nickels than quarters
0.25x + 0.05(x + 8) = 4.3
Apply distributive property
0.25x + 0.05x + 0.4 = 4.3
0.3x + 0.4 = 4.3
Subtract 0.4 from both sides
0.3x = 4.3 - 0.4
0.3x = 3.9
Divide both sides by 0.3
x = 3.9/0.3
x = 13
Hence, there are 13 quarters and 21 nickels we have.
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Out of 50 bagels on a tray, 32 of them are cinnamon bagels. What percent of the bagels are cinnamon bagels?
Answer:
64 o/o
Step-by-step explanation: 50 times 2 is 100 and 32 x 2 is 64
Geometry i need help rn and could you tell me the name of this subject
Answer:
12Step-by-step explanation:
x is a midsegment of a given triangle as it connects the midpoints of the two sides.
Midsegment is parallel to the third side and equals to half of its measure:
x = 24/2 = 12SUPER EASY PLEASE HELP:)
Answer:
Step-by-step explanation:
y = -4/5x + 2
y = 2/3x + 2
2/3x + 2 = -4/5x + 2
10/15x + 12/15x + 2 = 2
22/15x = 0
x = 0
y = 2/3(0) + 2
y = 0 + 2
y = 2
(0, 2)
What would be the first step you do to solve the equation below?
2x - 4 = 12
Find the equation of the line shown.
Answer:
(0,5) will be linear equation
Use the order of operations to simplify this expression
|7-8|•4+3(-1)
A construction crew has just built a new road. They worked for 2 weeks. They built the road at a rate of 2.56 kilometers per week. How many kilometers of road did they build?
section 4 algebra nation
⚠️⚠️⚠️⚠️⚠️⚠️HELP QUICK! ⚠️⚠️⚠️⚠️⚠️⚠️
Solve
4x = 2y + 6
y = 2x-3
Infinitely Many Solutions
No Solution
(0,0)
(1.5, 0)
(40 points) !!!!!!!URGENT!!!!!! jack and jill both drive the same distance to the beach. by driving 15 mph faster than jack jill can get there in 3 hours while it takes jack 4 hours. how fast does each of them drive !!!!!!URGENT!!!!!
describe how to classify a polynomial as a monomial, a binomial , a trinomial, or none of these.
Answer:
A polynomial is an expression, and since mono means 1, monomial has 1 term in the expression, binomial has two, trinomial 3
The answer is:
⇨ belowWork/explanation:
Here's how we classify polynomials based on the number of terms:
monomial - has only one term
binomial - has two terms
trinomial - has three terms
polynomial - has four terms or more
Hence, these are the classifications.The graph shows the number of songs downloaded after x hours.
What is the slope of the line?
(D is only marked bc I couldn’t unmark)
Step-by-step explanation:
For every 2 hours across, the line graph goes up by 15 songs.
Therefore the slope of the line is 15/2. (D)
What is an equation in point-slope form of the line that passes through the point (6, −2) and has a slope of 3? A. y + 2 = 3(x − 6) B. y + 2 = −3(x − 4) C. y + 1 = 6(x − 4) D. y + 1 = −6(x + 4)
Answer:
answer A is correct because the formula of equation in point slope is
y-y1=m(x-x1)
where,(x1,y1)point is given that is (6,-2)
slope=m=3
equation in point-slope form of the line that passes through the point (6, −2) and has a slope of 3 is y + 2 = 3(x − 6)
What is Equation?statement of equality between two expressions consisting of variables and/or numbers.
As, equation line is:
y-y1=m(x-x1)
We have,
coordinates (6, −2) and slope=3
So,
y+2=3(x-6)
y+2=3x-18
y-3x= -20
Hence, equation in point-slope form of the line that passes through the point (6, −2) and has a slope of 3 is y+2=3(x-6).
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A ball is thrown vertically from the top of a building. The height of the ball after t seconds can be given by the function
Answer:The instantaneous velocity of the ball after 4 seconds is -0.4 m/s
Step-by-step explanation:
Step-by-step explanation:
If f(x) is the function which represents the distance that a particle moves after x seconds, with velocity v and acceleration a, then
v(x) = f'(x) ⇒ first derivative
a(x) = f"(x) ⇒ second derivative
∵ A ball is thrown vertically from the top of a building
∵ The height of the ball after t seconds can be given by the
function s(t)= -0.1(t -2)² + 10
- To find the function of the velocity differentiate s(t)
∵ s(t) = -0.1(t - 2)² + 10
- Solve the bracket
∵ (t - 2)² = t² - 4t + 4
∴ s(t) = -0.1(t² - 4t + 4) + 10
- Multiply the bracket by -0.1
∴ s(t) = -0.1t² + 0.4t - 0.4 + 10
- Add the like terms
∴ s(t) = -0.1 t² + 0.4t + 9.6
Now let us differentiate s(t)
∵ s'(t) = -0.1(2)t + 0.4(1)
∴ s'(t) = -0.2t + 0.4
- s'(t) is the function of velocity after time t seconds
∵ s'(t) = v(t)
∴ v(t) = -0.2t + 0.4
We need to find the instantaneous velocity of the ball after 4 seconds
Substitute t by 4
∴ v(4) = -0.2(4) + 0.4
∴ v(4) = -0.8 + 0.4
∴ v(4) = -0.4
∴ The v is -0.4 m/s ⇒ -ve means the velocity is downward
The instantaneous velocity of the ball after 4 seconds is -0.4 m/s
read and analyze the problem below. Was the problem solved correctly? If not, explain the error and answer it correctly.
Solve:
2x - 8 + 3x + 2 = 4x + 10 + 3x - 6
student work:
2x - 8 + 3x + 2 = 4x + 10 + 3x - 6
5x - 6 = 7x + 16
-5x -5x
-6 = 2x + 16
-16 -16
-22 = 2x
2 2
-11 = x
PLEASE HELP ME!
help me plzzzz and tyyyy
Answer:
her language arts hw takes longer and it takes 2/9 hr longer
Step-by-step explanation:
first of all, 4/9 > 2/9
4/9-2/9=2/9
What was the error made in this conversion?
A.)The 1 mile and 3,218 meters in Step 1 should be switched.
B.) The 1,609 meters and the 3,218 meters in Step 1 should be switched.
C.)The conversion factor should be added in Step 2 instead of being multiplied.
D.)The conversion factor should be divided in Step 2 instead of being multiplied.
Answer:
B.) The 1,609 meters and the 3,218 meters in Step 1 should be switched.Step-by-step explanation:
Step 1 is incorrect. It should be:
3218 meters x 1 mile / 1609 meters = 2 milesCorrect answer option is B
HEEEEEEELPPPPPPPPPPPPPPPP
Which is the correct algebraic expression for each phrase?
2.5 times as many pages.
a. 2.5p
b. p+2.5
c. 2.5÷p
d. p-2.5
a lighthouse is located on an island 200 feet from the shore of the mainland as shown. If x=0.65, what is D?
please help ASAP
Answer:
251.222 feets
Step-by-step explanation:
X = 0.65 rad
To degree ;
X = 37.24°
We need to obtain the height :
Using Sine rule :
(37. 24 + y + 90) = 180
y = 52.76
y / sin Y = D / sin D
200/ sin 52.76 = D / Sin 90
251.22231 = D / sin 90
251.22231 * sin 90 = D
Sin 90 = 1
D = 251.222 feets
What is 10% of $10 what is 10% of $10
Answer:
$9
Step-by-step explanation:
This means the cost of the item to you is $9. You will pay $9 for a item with original price of $10 when discounted 10%. In this example, if you buy an item at $10 with 10% discount, you will pay 10 - 1 = 9 dollars.
If 6:2=8x then answers are A.2x=14 B.2x=48 c. 6x=10 D. 6x=16
Answer:
16x = 6Step-by-step explanation:
If 6:2=8x then answers are A.2x=14 B.2x=48 c. 6x=10 D. 6x=16
6:2=8x can also be written as 6/2 = 8x/1
Cross multiply
2 * 8x = 6*1
16x = 6
Hence the expression can also be written as 16x = 6
Can you help me with this question?
Answer:
Reason SAS postulate
Step-by-step explanation:
The two triangles must be congruent.
Reason: SAS postulate
5x5:):):):):):):):):):):):)free
Answer:
25
Step-by-step explanation do 5 five times
1. Which two points on the number line are opposites?
——————————————-
-2 A -1 B 0 C 1 D
Not points B and C
2. Which two points on the number line are opposites? Use the number line above
Not points C and D
3. Which fraction is represented by point A on the number line ?
Not 1/4
Answer:
Option D. A and D
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
Sorry I’m really late ✌️
Identify the additive inverse and multiplicative inverse for the following number.
−3/4
Answer:
3/4 and - 4/3Step-by-step explanation:
Additive inverse ⇒ sum of numbers is zero:
-3/4 + x = 0x = 0 - (-3/4) = 3/4Multiplicative inverse ⇒ product of numbers is 1:
-3/4 * x = 1x = 1 ÷ (-3/4) = 1* ( - 4/3) = -4/3Step-by-step explanation:
the additive inverse and multiplicative inverse for the following number -3/4=-4/3
6sacks of potatoes weigh 122.4 kg and 4 sacks of onions weigh 50 kg. What is the total amount of 1 sack of potatoes and 1 sack of onions
Answer: See explanation
Step-by-step explanation:
6 sacks of potatoes weigh 122.4 kg
1 sack would weigh 122.4 kg ÷ 6
122.4 ÷ 6 = 20.4
1 sack of potatoes weighs 20.4 kg
4 sacks of onions weigh 50 kg
1 sack would weigh 50 kg ÷ 4
50 ÷ 4 = 12.5
1 sack of onions weighs 12.5 kg
This year, Martin's income is 1 /4 greater than his income from last year. If s represents his income from last year, what is his income this year?
1/4s
Step-by-step explanation:
Multiply 1/4 with s
Answer:
1/4s
Step-by-step explanation:
x 1/4 by s
what is the value of the expression shown? 7 [(7 + 7) +7
Answer:
105
Step-by-step explanation:
7 (7x7) + 7 is the same as 7 x 14 + 7 so that would equal 105
Jen simplified a radical expression. Her work is shown.
√
50
x
3
y
5
5
Step 1:
√
10
x
3
y
5
Step 2:
√
10
⋅
x
2
⋅
x
⋅
y
2
⋅
y
2
⋅
y
Step 3:
x
y
2
√
10
x
y
Did Jen make an error?
A.
Jen made an error in Step 1.
B.
Jen made an error in step 2.
C.
Jen made an error in step 3.
D.
Jen did not make an error.
Answer:
im taking the same test lol
Step-by-step explanation: