Answer:
The number of pennies owned is 7 pennies
Step-by-step explanation:
The given parameters are;
The number of pennies left over when we break the pennies into groups of 2s = 1 penny
The number of pennies left over when we break the pennies into groups of 3s = 1 penny
Let the number of pennies owned = c
What we are given are as follows;
2 × a = c - 1
3 × b = c - 1
2 × a = 3 × b
a/b = 3/2
Therefore, if we multiply 2 by 3, and 3 by 2 we get 6
2 × 3 = 6, similarly 3 × 2 = 6
If we put 6 = c - 1, we get;
c = 6 + 1 = 7
c = 7
The number of pennies owned = 7 pennies.
Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5. There are 270 students at his school. Statement 3: There are exactly 30 more girls than boys. True False Explain your thinking.
Answer: True
Step-by-step explanation:
Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5.
There are 270 students at his school.
Then, Total boys = [tex]\dfrac{4}{4+5}\times270=\dfrac{4}{9}\times270=120[/tex]
Total girls =[tex]\dfrac{5}{4+5}\times270=\dfrac{5}{9}\times270=150[/tex]
Clearly, (Number of girls) > (Number of boys)
Difference = (Total girls) - (Total boys)
= 150-120
= 30
So, Statement 3: "There are exactly 30 more girls than boys". is absolutely true.
i need it in 4min or less Which of the following could be true if one decreases their long term liability and increases their liquid assets? a. Paid off credit card balance and added money to savings. b. Paid off medical bills and invested money. c. Paid down mortgage and received a cash prize. d. Paid taxes owed and bought a car.Which of the following could be true if one decreases their long term liability and increases their liquid assets? a. Paid off credit card balance and added money to savings. b. Paid off medical bills and invested money. c. Paid down mortgage and received a cash prize. d. Paid taxes owed and bought a car.
Answer:
C. Paid down mortgage and received a cash prize.
Answer:
c
Step-by-step explanation:
simplify : -2(3v -6)
with steps too please
Answer:
-6v - 12
v = -2
Step-by-step explanation:
Simplify:
Apply the rules of the distributed property by multiplying -2 and 3v and -2 and -6: -6v - 12Solve:
Now that we have our simplified form, we can find what v is. First divide each side by -6 to cancel out the -6 next to v. It should now look like this: v = -2In right angled triangle (not drawn to scale) measurment (in cm) of two sides are indicated in figure Find value of x in case. (pic is attached on which figure is drawn)
Answer:
5.29 units
Step-by-step explanation:
By Pythagoras theorem:
[tex] {6}^{2} + {x}^{2} = {8}^{2} \\ 36 + {x}^{2} = 64 \\ {x}^{2} = 64 - 36 \\ {x}^{2} = 28 \\ x = \sqrt{28} \\ x = 5.29150262 \: units \\ x \approx 5.29 \: units[/tex]
1) A rectangular carpet has a perimeter of 288 inches. The length of the carpet is 96 inches more than the
width. What are the dimensions of the carpet?
Answer:
The width is 24 inches and the length is 120 inches.
Step-by-step explanation:
Let x represent the width of the carpet
The length can be represented by x + 96
Create an equation:
x + x + x + 96 + x + 96 = 288
Add like terms and solve for x:
4x + 192 = 288
4x = 96
x = 24
So, the width is 24 inches. Plug this into x + 96 to find the length:
x + 96
24 + 96
= 120
So, the width is 24 inches and the length is 120 inches.
Calculate the slope.
Answer: 2/3
Step-by-step explanation:
Since the line is going through the origin it slope will use the formula y/x = k where k is the slope. So you can use any point on the number line to determine the slope.
use the point (3,2) using the formula y/x = k divide the y by x.
k = 2/3
Answer: 0.67
Step-by-step explanation:
Look at the points (3,2), (6,4), and (9,6)
Cool Down: Almond Bags Bags of almonds from a food producer are advertised to weigh 500 grams each. Twenty bags of almonds are weighed. The scatter plot shows the absolute error between the actual weight and the advertised weight of those bags. Estimate the largest absolute error.
Answer:
12 grams
Step-by-step explanation:
Absolute error is the difference between the measured value and the actual value.We can see on the plot that absolute error is spread between zero and 12 grams.
The largest absolute error is approximately 12 grams as per plot on the top right. It gives the bag weight of 512 grams vs advertised 500 grams.
Answer:
It’s 11
Step-by-step explanation:
The cube of a positive number divided by the square of the same positive number is a. 2 b. 4 c. 6 or d. 8
Answer:
this question makes zero sense please rephrase it
Step-by-step explanation:
simplify (5m-2n)². please help me with this.
Answer:
25 m^2 -20mn +4n^2
Step-by-step explanation:
(5m-2n)²
(5m-2n)(5m-2n)
FOIL
first 5m*5m = 25m^2
outer 5m*-2n = -10mn
inner -2n * 5m = -10mn
last -2n * -2n = 4n^2
Add together
25m^2 -10mn -10mn + 4n^2
25 m^2 -20mn +4n^2
simplify ( root 3 + root 7) over 2
Answer:
5 r o 2 t
Step-by-step explanation:
(√3+√7)²
We know ,[(a+b)²=a²+2ab+b²]
=>(√3+√7)²=(√3)²+2(√3)(√7)+(√7)²
=>(√3+√7)²=3+2√21+7
=>(√3+√7)²=10+2√21
Identify the domain of the function. A) (−2, 4) B) (−3, 3) C) [−2, 4] D) [−3, 3]
Answer:
(-2,4)
Step-by-step explanation:
The domain is the values for the input
X goes from -2 to 4 not including the endpoints
(-2,4)
How many terms are shown? 3x-2y+4-3z
A. 1
B. 2
C. 3
D. 4
7. How does using a bar diagram help you in predicting the solution to ratio and rate problems?
8. How can you use a bar diagram to check the accuracy of the solution to a ratio or rate problem?
My sister need help asap
Answer:
7) ratio and rate are actually the same thing
they gives a fixed value when two quantities when plotted on a bar diagram helps in determining as well as predicting the solution of the problem.I'm not sure about 7
Is there any theorem or postulate that could prove that CB and EF are congruent? it could be multiple steps but i have no idea. ill give brainliest if its right :)
Answer:
AAS (angle, angle, side)
Step-by-step explanation:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent. The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles. hope this helps you :)
Define the terms factor and quantity. Then for the expression −3(4+x)(z−2−y), list all of the factors, and specify which are quantities.
Answer:
A factor are numbers or variables that can be being multiplied to each other to get another number. A factor is a quantity which is used to multiply or divide another quantity to indicate a measurement difference
A quantity is the total number or amount and it is the subject in a given mathematical operation
In the expression, -3×(4 + x)×(z - 2 - y), the factors are;
-3, (4 + x), and (z - 2 - y)
The quantities are the values that are subject to the mathematical operations including;
3, 4, x, z, 2, and y
Step-by-step explanation:
The algebraic expression for "the quotient of 73 and x" is
Answer
it could be 73/x
Step-by-step explanation:
Solve k(m) – p when k= -5, m = 8, and p = -12 a. -28 b. -62 c. 28 d. 64
Answer:
-28 is the answer.
Step-by-step explanation:
=k(m) – p
substituting the values k = -5, m = 8 and p = -12
=-5×(8) – (-12)
=-40+12
=-28 is the answer.
hope it will help :)
Answer:
A. -28
Step-by-step explanation:
1. K= -5, M= 8, -5x8 gives you -40
2. p = -12, subtract, -40 - -12 = -28.
The temperature at 9:00pm one evening was 40 Fahrenheit. Over the next 4 hours the temperature dropped at n average rate of 3 per hour. What was the temperature at 1:00am?
Answer:
28 degrees Fahrenheit
Step-by-step explanation:
If the temperature at 9:00pm one evening was 40 Fahrenheit. And for the next 3 hour it dropped 3 degrees per hour then it would be
40 - 4 times 3 =
40 - ( 4 times 3 ) =
40 - 12 = 28 degrees Fahrenheit
Bruce wants to find the perimeter of a rectangular plot of land. The length is (6x-29) km. The width measures (5x-17) km. What is the perimeter of the plot of land
Units for the perimeter are in kilometers
==============================================
Work Shown:
L = length = 6x-29
W = width = 5x-17
P = perimeter of rectangle
P = 2*(L + W)
P = 2*(6x-29 + 5x-17)
P = 2*(11x - 46)
P = 2*11x + 2*(-46)
P = 22x - 92
If we knew the value of x, then we could find the actual numeric value for the perimeter. However, we don't have that info, so we leave it as is.
If the angles of a triangle are (2y - 5)degrees, (y + 20)degrees, and (3y-5) degrees what are the values of the angles
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{51.68 \: , \: 48.34 \:, \: 80.02}}}}[/tex]Step-by-step explanation:
Let's solve:
As we know that the sum of angles of traingle adds to 180°
[tex] \sf{2y - 5 + y + 20 + 3y - 5 = 180}[/tex]
Collect like terms
⇒[tex] \sf{6y - 5 + 20 - 5 = 180}[/tex]
⇒[tex] \sf{6y + 15 - 5 = 180}[/tex]
⇒[tex] \sf{6y + 10 = 180}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{6y = 180 - 10}[/tex]
Calculate the difference
⇒[tex] \sf{6y = 170}[/tex]
Divide both sides of the equation by 6
⇒[tex] \sf{ \frac{6y}{6} = \frac{170}{6} }[/tex]
Calculate
⇒[tex] \sf{y = 28.34}[/tex]
Now, let's replace the value:
⇒[tex] \sf{2y - 5 = 2 \times 28.34 - 5 = 51.68}[/tex]
⇒[tex] \sf{y + 20 = 28.34 + 20 = 48.34}[/tex]
⇒[tex] \sf{3y - 5 = 3 \times 28.34 - 5 = 80.02}[/tex]
Hope I helped!
Best regards!!
Answer:
51 2/3 , 48 1/3 and 80 degrees.
Step-by-step explanation:
The 3 angles add up to 180 degrees.
2y - 5 + y + 20 + 3y - 5 = 180
6y + 10 = 180
6y = 180 - 10
6y = 170
y = 170 / 6 = 28 1/3 degrees.
So the 3 angles are 2(28 1/3) - 5, 28 1/3 + 20 and 3(28 1/3) - 5.
Which are the most important task for project planning?
NB: Please give brainliest to those who ask it.
Answer:
1. Adjusting the budget and communicating with the team assessing the final project.
2. Finishing up old projects.
3. Creating a time line and making the budget updating the schedule.
4. Prioritizing tasks and distributing resources.
5. Scheduling meetings and updating spreadsheets assigning resources to tasks.
Hope it helps!!Please mark me as the brainliest!!!Thanks!!!!❤❣❤
which is a defind term a angle b line c point d plane
Answer:
a angle
Step-by-step explanation:
Point, line, and plane are undefined terms.
Angle is a defined term.
A bank charges a 14% interest per annum on a loan. What is the interest rate if charged yearly?
Answer: Per annum means yearly so the interest rate will be 14% as well.
Step-by-step explanation:
20 points!!! pls help
Answer:
C
Step-by-step explanation: c and d are not aligned unlike the rest of them.
Daniel glues two pieces of wood together as part of a model. One piece is 1/2 inch long, and the other is 3/4 inch long. What is the total length of the wood when glued together?
5 points
Answer:
5/4
Step-by-step explanation:
Total length = Sum of the length of the two pieces of wood :
[tex] \frac{1}{2} + \frac{3}{4} \\ lcm = 4 \\ [/tex]
Adjust values according to the lcm
[tex]4 \div 2 \times 1 = 2 \\ 4 \div 4 \times 3 = 3 \\ = \frac{3 + 2}{4} \\ = \frac{5}{4} [/tex]
Answer:
(I think it MIGHT be) 5/4
Step-by-step explanation:
The girl that answered me up above is right
NEED HELP ASAP ALGEBRA 2
Answer:
a=9
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2
a^2 +40 ^2 = 41^2
a^2 + 1600 = 1681
a^2 = 1681-1600
a^2 = 81
Take the square root of each side
sqrt(a^2) = sqrt(81)
a = 9
Answer:
9.
Step-by-step explanation:
Pythagoras Theorem is used in this case:
a² + b² = c²
a² + 40² = 41²
a² + 1600 = 1681
a² = 1681 - 1600
a² = √81
a = 9
9 is the third answer.
if two points are givin, then exactly one line can be drawn through those two points. which geomerty trem does the statement represent
Answer:
the correct answer is
Step-by-step explanation:
hope this helps u!!
If a number line shows tick marks that are not labeled, can you determine the coordinate of a point located at an unlabeled tick mark?
If other tickmarks are labeled, then you could do some detective work (of sorts) to figure out the unlabeled tickmarks.
For example, let's say we had a number line with 1,2,3,... and let's say that 7 was covered up or erased or smudged. So we have 1,2,3,4,5,6,__,8,9. We could then easily determine that 7 must go in that blank spot. This is just one example of course.
Another example could be that if we had a tickmark right in the middle of two whole numbers, say 0 and 1. This unlabeled tickmark would most likely be 1/2 = 0.5 as its at the halfway point between 0 and 1.
[tex]M\times 2^3\times 3^7=6^7.[/tex]. Find M.
Step-by-step explanation:
steps by steps are in the picture I hope this helps you!
1. Which of the following is a rational number? (4 points)
V15, 116, 121, V22
O V15
O V16
O V21
O √22
Please I need help!