Answer:
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
Step-by-step explanation:
Let
n = number of nickels
d = number of dimes
p = number of pennies.
n + d + p = 37
0.05n + 0.10d + 0.01p = 1.55
p = 2d
Substitute p = 2d into the equation
n + d + 2d = 37
0.05n + 0.10d + 0.01(2d) = 1.55
n + 3d = 37
0.05n + 0.10d + 0.02d = 1.55
n + 3d = 37 (1)
0.05n + 0.12d = 1.55 (2)
Multiply (1) by 0.05
0.05n + 0.15d = 1.85
0.05n + 0.12p = 1.55
Subtract
0.15d - 0.12d = 1.85 - 1.55
0.03d = 0.3
d = 0.3/0.03
= 10
d = 10
p = 2d
= 2(10)
p = 20
n + d + p = 37
n + 10 + 20 = 37
n + 30 = 37
n = 37 - 30
n = 7
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
Jake walked all the way around the perimeter of a square playground that has sides n feet long, then he walked an additional 20 feet. Which person walked the same distance as Jake?
Options :
Sarah, who walked a straight distance of n+10 feet.
Nancy, who walked around a square garden measuring n+5 feet on each side.
Jules, who walked around a rectangular room measuring n feet wide and 10 feet long.
Billy, who walked around a square lot measuring 20 feet on each side
Answer:
Nancy, who walked around a square garden measuring n+5 feet on each side.
Step-by-step explanation:
Given that:
Jake walked round the perimeter of a square with sides n feets long
Additional distance walked = 20 feets
Perimeter of a square = 4n
Where n = Length of the side
Hence Jake's total distance :
Perimeter walked + additional distance
4n + 20 feets
Comparing to Distance walked by Nancy:
Side length of square garden = n+5
Perimeter of the garden = 4 * side length
Perimeter of the garden = 4 * (n + 5)
Perimeter of the garden = 4n + 20 feets
Hence, Nancy walked the same distance as Jake
I need help on this question can you tell me what the blanks are pls
Answer:
sorry I wish I can help you
Step-by-step explanation:
La profesora repartió témperas del mismo tamaño entre los chicos. Mariana usó 3/5 de su pote y Juan 3/4 del suyo. ¿Quién usó mayor cantidad y por qué? Representa con dibujos los potes y lo que se usó
Answer:
Juan uso mayor cantidad de témpera.
Step-by-step explanation:
Para comparar fracciones que tienen distintos denominadores, como en este caso, es conveniente encontrar fracciones equivalente a las fracciones dadas, donde ambas tengan el mismo denominador. Dos fracciones son fracciones equivalentes cuando representan la misma parte de la unidad.
En este caso, para comparar las fracciones 3/5 y 3/4, obtienes que el mínimo común múltiplo entre los denominadores que es 20 (el denominador común se puede obtener multiplicando ambos denominadores o calculando el m.c.m) y amplificas cada una de las fracciones para que tengan el mismo denominador.
Entonces:
[tex]\frac{3}{5} =\frac{3*4}{5*4} =\frac{12}{20}[/tex]
[tex]\frac{3}{4} =\frac{3*5}{4*5} =\frac{15}{20}[/tex]
Cuando dos o más fracciones tienen igual denominador, es mayor la que tiene mayor numerador. Entonces en este caso podes observar 15/20 es mayor. Como 3/4 es una fracción equivalente a 15/20, entonces 3/3 es una fracción mayor. Por lo que es posible decir que Juan uso mayor cantidad de témpera.
Esto también se puede observar en la representación de la imagen adjunta, donde se divide en 1/4 y 1/5 y se encuentra pintado la cantidad usada por Juan y Mariana. En ese caso se puede ver que el área pintada es mayor en el caso de 3/4, la cantidad usada por Juan.
express 50 1/4 in simplest radical form
Answer:
Step-by-step explanation:
This is just an improper fraction when done.
numerator: 50*4 + 1 = 200 + 1 = 201
denominator: 4
Answer: 201/4
Use always, sometimes or never to make a true statement:
Intersecting lines are _____________ coplanar.
Two planes _____________ intersect in exactly one point.
Three points are _____________ coplanar.
A plane containing two points of a line _____________ contains the entire line.
Four points are _____________ coplanar.
Two lines _____________ meet in more than one point.
Two skew lines are __________ coplanar.
Line TQ and Line QT and are _________ the same line.
Answer:
1. Intersecting lines are always coplanar
2. Two planes never intersect in exactly one point
3. Three points are always coplanar
4. A plane containing two points of a line always contains the entire line
5. Four points are sometimes coplanar
6. Two lines never meet in more than one point.
7. Two skew lines are never coplanar
8. Line TQ and Line QT are always the same line.
Step-by-step explanation:
Note: Coplanar means "In the same plane"
1. Each line exist in many planes. But different lines must share at least one plane for them to intersect. That is why intersecting lines are always coplanar.
2. Two planes never intersect at exactly one point because only lines intersect at a point. Planes can only intersect along a line.
3.Three points are always coplanar because in geometry, a group of points are coplanar because there is a geometric plane that they all lie on.
4. A plane containing two points of a line always contains the entire line. Yes
5. Four points are only sometimes coplanar because there is a probability that they may all not lie on the same plane
6. Two lines never meet in more than one point because lines are basically straight and cannot bend over to intersect at another point
7. Two skew lines are never coplanar because skews lines are lines that do not intersect and are never parallel.
8. Line TQ and Line QT are always the same line because a line is straight and extends from one point to the other. So, if a line is labelled TQ calling it QT means the same thing
Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?
Answer:
10
Step-by-step explanation:
(12 + x0.5) <= 17
help ill give you brainliest
anyone please help me
Answer:
D
Step-by-step explanation:
The perpendicular equation can be found by getting the reciprocal of the slope then multiplying it by -1. The slope is the "m" value of y=mx+b; in this case, the slope is [tex]\frac{2}{5}[/tex].
To find out if it is C or D, you plug in the x value given in the equation (2) and see if it equals the y value given in the equation (-2). C is incorrect, which means that D is correct.
Answer:
The answer is D
Step-by-step explanation:
A pizza dlivery car can travel 11 km for every gallon of gasoline it uses. If the driver's average speed is 28 km/h, how many hours can the driver travel before emptying a full 35 gallon gas tank?
Answer:
13.75 hours
Step-by-step explanation:
First, find how many km the driver can travel:
11(35)
= 385
Then, divide this by 28 to find how many hours the driver can travel:
385/28
= 13.75
So, the driver can travel 13.75 hours
are these equal or not equal?
a. 18/36 _____ 1/2
b. 13/15 _____ 7/10
c. 3/5 _____ 5/9
d. 3/8 _____ 10/16
Answer:
a. is equal.
Step-by-step explanation:
18+18 is 36 and 1+1 is 2. the other questions are not equal.
Hope this helps!
Answer
18/36 = 1/2
13/5 > 7/10
3/5 > 5/9
3/8 < 10/16
I’ll mark brainliest please help!
Answer:
4x + 2 = 30
Step-by-step explanation:
To find the perimeter of a triangle, add up the length of all three sides of the triangle.
Here, the sides of the triangle are "x+6", "x+6", and "2x-10". When you add up all three sides of the triangle, it should be equal to the perimeter, 30. So:
(x+6) + (x+6) + (2x-10) = 30
We can simplify this equation:
(2 * (x+6)) + (2x-10) = 30
2x + 12 + 2x - 10 = 30
4x + 2 = 30
Answer D: 4x + 2 = 30
Five cubic meters of copper has a mass of 44,800 kilograms. What is the density of copper?
Density = mass / volume
Density = 44,800 kg/ 5m^3
Density = 8,960 km/m^3
what’s 15/25 in its simplest form?
Answer: 3/5
Step-by-step explanation: Just divide both by 5.
Please help!
Fill in the blank.
(4/5)×(5 1/2) = ___ / 5×12
Answer:
115.2
Step-by-step explanation:
First we make an equation and replace blank with x.
Look at photos to see solution.
what is the answer to (x+3)^2 +(y-6)^2
Answer:
1the answer is 1! hope this helps.
The answer is x^2+ y^2-27
A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka's shadow. Include all labels.
Answer:
8 meters
Step-by-step explanation:
This is a question that deals with Proportion
Height of flagpole/Shadow of flagpole = Height of Luke/Shadow of Luke
Length of the shadow of Luke = x
= 12/24 = 4/x
We cross Multiply
12 × x = 24 × 4
x = 24 × 4/12
x = 8 meters
Hence, the length of the shadow of Luke = 8 meters
Pls I need help with this
Answer: Yes
The answer is:
Yes, both of this is equivalent.
Step-by-step explanation:
For the reason and solution, here:
1) 4x+6/2+3=
Factor: 2(x+3)Simplify: 2x+62) 4x+9=
This cannot be factored or simplified.For me, these two is equivalent because "4x+9" equivalent is 2x+6 and this is the same if you simplified 4x+6/2+3 so for me, the answer is yes.
Hope this helps and if you could mark this as brainliest. Thanks!
Suppose your community has 3580 people this year. The population is growing 2.5% each year. a. Write an exponential function to model the population. b. What will the population be in 3 years? c. Graph the function and give the domain and range.
Answer:
Step-by-step explanation
sadly i dont understand
please help on either of these questions, im lost. :((
Answer:
2. I think is 5
Step-by-step explanation:
Answer : The answer to the second question is -5. Option A.
I'm confused about what the first question means.
A shipping company charges a $3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds. . George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping. What is the maximum number of pounds that this package could be? The Maximum number of pounds is
Answer:
32 pounds
Step-by-step explanation:
$3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds.
The first step would be to derived an equation
$3 + $0.75
3 + 0.75x
Where x = number of pounds
George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping.
Hence,
3 + 0.75x = 27
0.75x + 3 = 27
0.75x = 27 - 3
0.75x = 24
x = 24/0.75
x = 32 pounds
The maximum number of pounds that this package could be is 32 pounds
please help me this is for algebra 1 the correct answer ill give brainly!
Answer:
1/2x is m and 3 is b
Step-by-step explanation:
y= 1/2x +3
The formula would be MX+B.
so the slope which is m would be 1/2
and the +3 part would be the y intercept
because it's in the slope intercept form
A pitcher ok a baseball team is practicing his fast ball trying to ensure he hits the strike zone. He consistently releases the ball 3.4 feet high while he is pitching. The pitcher must aim for the ball to hit the ground approximately 58.8 feet from the pitcher's mound in order to stay in the strike zone. At what angle of depression, to the tenth of a degree, must he release the ball
Answer:
3.3°
Step-by-step explanation:
The set up of the question will give a right angled triangle where the height covered by the bal is the opposite side.
The length at which the pitcher hit the ground is the hypotenuse.
Given
Opposite side = 3.4m
Hypotenuse = 58.8m
Required
Angle of depression
Using SOH CAH TOA trigonometry identity
According to SOH,
Sin(theta) = opposite/hypotenuse
Sin(theta) = 3.4/58.8
Sin(theta) =0.05782
theta = sin^-1(0.05782)
theta = 3.32°
Hence the angle of depression that he must release the ball to nearest tenth is 3.3°
please solve this math problem look at the screenshot
Answer:
D
Step-by-step explanation:
A graph represents a function of x when it passes the vertical line test. That is, no x values map out to more than 1 y value.
Therefore, D is the only function of x.
For a craft each student will need five rubber bands.There.There are eight students.Rubber bands come in bags of nine. How many will be needed?How many rubber bands will be left over?
Answer:
40 rubber bands are needed
5 rubber bands will be left from 5 bags of of rubber band
Step-by-step explanation:
Each student will need five rubber bands.
There are eight students
Total rubber bands needed = rubber bands per student × number of students
= 5 × 8
= 40
Total rubber bands needed = 40
Rubber bands come in bags of nine.
Number of bags needed = Total rubber bands needed / number of rubber bands in each bag
= 40 / 9
= 4.44 bags
It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5
5 rubber bands bags will be bought which = 5 × 9
= 45 rubber bands
Only 40 rubber bands are needed
Left over rubber bands = 45 - 40
= 5 rubber bands
Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct
Answer: no Tony is not correct It is less than 5 hundred dollars.
Step-by-step explanation: 8×37=296 +200 = 496
Answer:
38
Step-by-step explanation:
The solution to the inequality is x Greater-than-or-equal-to 37.5.
For this situation, only whole number solutions make sense.
Tony needs to round up to 38.
what is this?? i’ve been stuck on this for so long.
Answer:
i say ACD
Step-by-step explanation:
quadrilaterals are shapes with 4 sides.
parallelograms are shapes that have parallel sides.
Answer:
the answer is rhombus and rectangles
Step-by-step explanation:
A landscaper installs 12 sections of the trellis. Each section of the trellis is 0.75 yards long. How many yards of the trellis are installed altogether?
Answer:
9
Step-by-step explanation:
you would do .75*12 because there are 12 stories and each one is .75 yards long, so to get all together, you do 0.75*12
Sorry im in a hurry
If f(x) = 4x - 8, what is the value of f(-3)?
Answer:
-20
Step-by-step explanation:
f(x)= 4x-8 f(-3)
y= 4(-3) -8
y= -12 -8
y= -20
Which scatterplot would have a trend line with a negative slope?
The cost for each soda is $2.25. If your friend Calvin buys a certain number of Coca-Colas (c) and Mountain Dews (m), which answer choice shows an expression that represents the total cost of the Coca-Colas and Mountain Dews that Calvin bought?
Answer:
2.25(c+m)
Step-by-step explanation: