Suppose that Carol has x 10p coins in her purse. Since she has three times as many 20p coins as 10p coins, then she has 3x 20p coins in her purse.
x coins of 10p value $0.10x and 3x coins of 20p value $0.60x.
In total this amount of money is $(0.10x+0.60x)=$0.70x that is exactly $4.20. Thus, you get the equation
0.70x=4.20.
Solve it:
[tex]x=\dfrac{4.20}{0.70}=6.[/tex]
Carol has 6 coins of 10p and 3·6=18 coins of 20p.
Answer:
I'm not sure how euros work but I'm almost certain there are 18 20p coins
Step-by-step explanation:
Which expression is equivalent to 3 + 4y – y(9 – 2y) + 5?
A. 8 – 7y
B. 2y^2 - 5y + 8
C. -2y^2 - 5y + 8
D. -6y^2 + 27y + 8
Answer:
C.
Step-by-step explanation:
Because the expression simplified is 2y^3-5y+8, so the answer is C.
Hope this helps! :)
~Angel
Answer:
The expression 3 + 4y – y(9 – 2y) + 5 is equivalent to 2y² -5y + 8 .
Option (B) is correct .
Step-by-step explanation:
As the expression given in the question be
= 3 + 4y – y(9 – 2y) + 5
First open the bracket
= 3 + 4y – 9y +2y² + 5
= 2y² -5y + 8
Therefore the expression 3 + 4y – y(9 – 2y) + 5 is equivalent to 2y² -5y + 8 .
Option (B) is correct .
4^3 · 4-^6 Simplified
A) 4-3
B) 4-9
C) 4-18
D) 43
4^3 · 4-^6
= 4^(3 + (-6))
= 4^-3
Answer
A) 4^-3
Find the equation of the line in slope-intercept form.Slope is 2/3 through (3, 4)
Answer:
y = (2/3)x + 2
Step-by-step explanation:
Start with the general slope-intercept form y = mx + b. Substitute 3 for x and 4 for y and 2/3 for m, and find the intercept, b:
4 = (2/3)(3) + b, or 2 = b. Then the desired equation is y = (2/3)x + 2.
Vector bought 15.6 pounds of paintballs. all together, the balls cost 35.99. About how much dis the psinballs cost per pond?
Based on the information given the amount that the paintballs cost per pond is $2.30.
Paintballs cost per pond:Using this formula
Paintballs cost per pond=Cost of balls/Number of pounds of paintballs
Where:
Cost of balls=$35.99
Number of pounds of paintballs=15.6 pounds
Let plug in the formula
Paintballs cost per pond=35.99 / 15.6
Paintballs cost per pond=$2.30
Inconclusion the amount that the paintballs cost per pond is $2.30.
Learn more about cost per pond here:https://brainly.com/question/26233980
What is 351,875 round to thew nearest hundred thousand
The answer to what is 351,875 rounded to the nearest hundred thousand is 400,000. I am positive.
River raft rentals are 7$ per hour plus a deposit fee of $25 per person. Write an expression for the total cost of renting a raft for h numbers of hours.
Answer:
Step-by-step explanation:
since h = hours
the answer is 25+7h
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
Solve for x over the complex numbers.
x^2 + 8x + 20 = 0
Ron made 2/3 of a quart of hot chocolate. Each mug holds 1/3 of a quart. How many mugs will ron be able to fill ?
pretty sure its 2 mugs
Answer:
2 mugs.
Step-by-step explanation:
We have been given that Ron made [tex]\frac{2}{3}[/tex] of a quart of hot chocolate. Each mug holds [tex]\frac{1}{3}[/tex] of a quart.
To find the number of mugs that can be filled by [tex]\frac{2}{3}[/tex] quart of hot chocolate, we will divide [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{3}[/tex] as:
[tex]\frac{2}{3}\div\frac{1}{3}[/tex]
Now, we will convert the division problem to multiplication problem by flipping the 2nd fraction as:
[tex]\frac{2}{3}\times\frac{3}{1}[/tex]
[tex]\frac{2\times 3}{3\times 1}[/tex]
[tex]\frac{2\times1}{1\times 1}[/tex]
[tex]2[/tex]
Therefore, Ron will be able to fill 2 mugs.
Carpeting costs $9.99 a yard. If Jam buys 17.4 yards, how much will it cost her ?
Answer:
$173.83
Step-by-step explanation:
Which equation is equivalent to 3[7x-4(x-3)]+1=16
the solution in the photo
What is the rule for the nth term, an, when the first 4 terms of the sequence are 4, 16, 64, 256?
A.
an=(‒4)^n ‒ 1
B.
an=4n
C.
an=4^n ‒ 1
D.
an=4^n
4, 16, 64, 256
4¹, 4², 4³, 4⁴
Do you see the pattern? [tex]a_{n} = 4^{n}[/tex]
Answer: D
If u is <1,5> find ||u||
A.4
B.6
C. Square root 6
D. Square root 26
u = <1,5> is a vector in the form <a,b> with a = 1 and b = 5.
||u|| = sqrt(a^2+b^2) is the magnitude or length of the vector
||u|| = sqrt(1^2+5^2)
||u| = sqrt(26)
The answer is choice D
Check out the attached image below for a visual.
Dan weighed his dogs Spot and Rover in March and April, and recorded the weight change for each dog. He recorded a change of 2 1/2 pounds for Spot and -2 3/4 pounds for Rover. He sats Spot's weight changed by a greater amount because 2 1/2 > -2 3/4. Do you agree? Explain.
Use the diagram below. Is each statement true?
The image consists of five ray originated from point O. The rays formed in the clock wise direction are ray OA, ray OB, ray OC, ray OD and ray OE. Measure angle COB is 56 degrees and measure angle BOA is 44 degrees.
a. ∠EOB and ∠AOC are supplementary angles.
b. ∠AOC and ∠BOC are complementary angles.
c. ∠EOD and ∠DOC are adjacent angles.
A. a. yes
b. no
c. yes
B. a. yes
b. yes
c. no
C. a. no
b. no
c. yes
D. a. no
b. yes
c. no
Answer:
Option (C)
Step-by-step explanation:
First draw the diagram
When the sum of two angles is 90 degree, the angles are complementary to each other.
When the sum of two angles is 180 degree, the angles are supplementary to each other.
Angle EOD and angle DOC are adjacent to each other.
Choose the correct statement.
-2<-3
5>6
4>-4
0<-6
For every point I have
Part A Tim wants to buy three pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds that a pair of jeans costs $24 at the local store. If he buys online, each pair would cost $22, and he would have to pay a shipping fee of $6 per order.
Part B Look at the table that represents the local store. For each row in the table, find the ratio of the number of pairs of jeans to the cost of the jeans.
Part C Are the ratios that you calculated in part B equivalent? Based on these ratios, what can you conclude about the relationship between the number of pairs of jeans that Tim buys at the local store and the cost?
Part D Next, look at the table that represents the online store. For each row in the table, find the ratio of the number of pairs of jeans to the cost of the jeans.
Part E Are the ratios that you calculated in part D equivalent? Based on these ratios, what can you conclude about the relationship between the number of pairs of jeans that Tim buys at the online store and the cost?
Part F The local store where Tim shops charges a 7% sales tax for clothing. Complete the table by figuring the cost of the jeans after sales tax is applied. The first row has been done for you.
Part G From part F, find the ratio of the number of pairs of jeans to the cost with sales tax for each row in the table. Part H Are the ratios that you calculated in part G equivalent? Show your work to support your answer. What does this tell you about the relationship between the number of pairs of jeans and the cost with sales tax applied?
Please, I'm giving all of my points for this
add 24, 22, and 6. for the ratio see if they all match up to the prices to the number of pairs of jeans. then just look at ur table for jeans and see which one has the greatest value. by equivalent it means are they the same as the one that is greatesst on table D and see if any of them are equivalent to the one you chose for E. for F all you would have to do is divide the number in A by 7. then just look at ur previous tables and find ur ratio
Tim will pay the same amount whether buying locally or online, without considering sales tax. The price per jeans remains constant in both local and online stores. When sales tax is applied, the ratio of number of pairs to price changes, increasing the cost per pair.
Each part of the problem step by step:
Part A:
Tim wants to buy three pairs of jeans. He can either purchase them at a local store for $24 each or online for $22 each plus a $6 shipping fee per order.
Part B:
For the local store, the ratio of the number of pairs of jeans (3) to the cost per pair ($24) is 3/24 = 1/8.
Part C:
The ratios calculated in Part B are not equivalent. As the number of pairs of jeans increases at the local store, the cost decreases proportionally.
Part D:
For the online store, the ratio of the number of pairs of jeans (3) to the cost per pair ($22) plus the shipping fee ($6) is 3/(22+6) = 3/28.
Part E:
The ratios calculated in Part D are not equivalent either. As the number of pairs of jeans increases online, the cost per pair decreases due to the shipping fee.
Part F:
To find the cost of jeans at the local store with a 7% sales tax, multiply the cost by 1.07 (since it's an increase of 7%). The table can be filled accordingly.
Part G:
Now, calculate the ratio of the number of pairs of jeans (3) to the cost with sales tax for each row in the table.
Part H:
The ratios calculated in Part G are not equivalent. The relationship between the number of pairs of jeans and the cost with sales tax applied at the local store shows that as the number of pairs increases, the cost with tax also increases proportionally.
Learn more about Buying locally or online, here:
https://brainly.com/question/37407030
#SPJ3
What is the product of the ten one-digit numbers
The product of all ten one digits numbers will be 0.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
All the ten one digit numbers are;
⇒ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Now,
The product of all the ten one digit numbers is,
⇒ 0 × 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9
⇒ 0
Thus, The product of all ten one digits numbers will be 0.
Learn more about the multiplication visit:
https://brainly.com/question/2811940
#SPJ2
Find the coordinates of the points of intersection of the graphs with coordinate axes:
y = -1.5x + 3
x intercept is (Say the two points)
y intercept is (say the two points)
Answer: x-=(2,0) y-=(0.3)
Step-by-step explanation:
Im a gangster
Write the equation of the line, given the y and x-intercepts. y-intercept = 8, x-intercept = 1.6
PLEASE HELP! I HAVE LIMITED TIME, WILL MARK BRAINLIEST!
The answer is D. U and T
Why hello there
The correct answer to you question will be D. U and T
Important: If my answer did help please mark me as brainliest thank you and have a great day!
What is the greatest common factor for 13 and 39
The greatest common factor (GCF) of the given set of numbers, 13 and 39 is calculated as: 13.
How to find the greatest common factor (GCF)?To find the greatest common factor (GCF) for 13 and 39, follow these steps:
Step 1: List the factors of each number.
Factors of 13: 1, 13
Factors of 39: 1, 3, 13, 39
Step 2: Identify the common factors shared by both numbers.
Common factors of 13 and 39: 1, 13
Step 3: Determine the greatest common factor from the common factors.
Greatest common factor (GCF) of 13 and 39: 13
So, the greatest common factor for 13 and 39 is 13.
Learn more about greatest common factor (GCF) on:
https://brainly.com/question/219464
#SPJ6
Suppose 40 cars start at a car race. In how many ways can the top 3 cars finish the race?
Hello Athena...
Any of the 40 cars can finish first
Any of the 39 cars can finish second
Any of the 38 cars can finish third
40 x 39 x 38 = 59,280
Answer - There are 59,280 ways the top 3 cars can finish the race.
The number of ways that the top three cars can finish the race will be 59280 ways.
This is a question relating to permutations and combinations. Based on the information given in the question, the calculation will be solved thus:
= 40!/(40 - 3)!
= 40!/37!
= 40 × 39 × 48
= 59280
Therefore, the number of ways that the top three cars can finish the race will be 59280 ways.
Read related link on:
https://brainly.com/question/11283443
Evaluate 12x−3y 12x−3y when x=− 1 4 x=−14 and y=3 y=3 .
The value of the given expression would be = - 177.
How to calculate the given expression?
To evaluate the given expression, the following steps should be taken as follows:
Given:
12x-3y
where
X = -14
y = 3
= 12(-14)-3(3)
= -168-9
= -177
4th Grade
What fraction does x represent?
The x would equal (according to this number line) 2/8
x = 2/8 OR x = 1/4
Hope this helps you
-AaronWiseIsBae
The fraction that x represents would be; 3/10
What is a fraction?A fraction represents a part of a number or any number of equal parts. When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.
There is a fraction, which contains numerator(upper value) and denominator(lower value).
WE have shown the x variable on the number line.
The total points on the number line from 0 to 1 is 8.
According to this number line.
the line is divided into 10 interval, Hence fraction that the expression represent as;
Fraction = 0.1. + 0.1 + 0.1
Fraction = 1/10 + 1/10 + 1/10
Fraction = 3/10
Hence the fraction that x represents is; 3/10
Therefore, the value of x would be;
x = 3/10
Learn more about fraction;
https://brainly.com/question/729654
#SPJ2
find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.
1. (4, 1) slope = 6
2. (6,-3) slope= -5
3. (-8, 2) slope = -1/2
4. (-7,-1) slope = 0
Answer:
1. [tex]y=6x-23[/tex]
2. [tex]y=-5x+27[/tex]
3. [tex]y=-\frac{1}{2}x-2[/tex]
4. [tex]y=-1[/tex]
Step-by-step explanation:
- The equation of the line is:
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
- You have to find the y-intercept [tex]b[/tex], so, you must substitute the given point and the slope into each equation and solve for [tex]b[/tex], and then you must rewrite the equation of the line with the slope and the y-intercept calculated:
1. [tex]1=6(4)+b\\ b=-23\\ y=6x-23[/tex]
2. [tex]-3=-5(6)+b\\ b=27\\ y=-5x+27[/tex]
3. [tex]2=-\frac{1}{2}(-8)+b\\b=-2\\ y=-\frac{1}{2}x-2[/tex]
4. [tex]-1=0(-7)+b\\ b=-1\\ y=0x-1\\ y=-1[/tex]
There are 15 cats ready for new homes at the pet store. There are 5 cages with cats in the store. If each cage has the same number of cats, how many cats are in each cage?
There are 3 cats in each cage. They way you get this answer is by dividing the total amount of cats (15) by the total amount of cages (5). hope this helps
We find that there are 3 cats in each cage.
To find out how many cats are in each cage, we need to divide the total number of cats by the number of cages. There are 15 cats ready for new homes and 5 cages. If each cage has the same number of cats, we perform the following calculation:
Count the total number of cats: 15 cats.
Count the total number of cages: 5 cages.
Divide the total number of cats by the number of cages: 15 cats / 5 cages = 3 cats per cage.
Therefore, there are 3 cats in each cage.
How is angle a related to angle d? A) vertical angles B) alternate interior angles C) alternate exterior angles D) corresponding angles
Answer:
because they are across from each other vertically
Step-by-step explanation:
Solve each equation by graphing. Round to the nearest tenth.
-2x²+2= -3x
A) −1, −2
B) 2, −0.5
C) −1, 2
D) 0.5, −3
B
rearrange into standard form : ax² + bx + c = 0 (a≠ 0)
2x² - 3x - 2 = 0
(x - 2)(2x + 1) = 0 ( equate each factor to zero and solve for x )
x - 2 = 0 ⇒ x = 2
2x + 1 = 0 ⇒ x = - 0.5
Solve the inequality.
7x − 9 > 2x + 6
A) x > 3
B) x > 3/5
C) x > −3
D) x > −3/5
Answer:
Option D. [tex]x> -3/5[/tex]
Step-by-step explanation:
we have
[tex]7x-9 > 2x + 6[/tex]
solve for x
Subtract 2x both sides
[tex]7x-9-2x > 2x+6-2x[/tex]
[tex]5x-9 > 6[/tex]
Adds 9 both sides
[tex]5x-9-9 > 6-9[/tex]
[tex]5x> -3[/tex]
Divide by 5 both sides
[tex]5x/5> -3/5[/tex]
[tex]x> -3/5[/tex]
If you brought 20 apples for a 1.00 how much does one apple cost