Answer:
Number of 7 inch plate = 8
Number of 12 inch plate = 7
Step-by-step explanation:
There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7in or 12in. The diameter of all 15 plates combined is 140in. Which system of equations can be used to find the number of 7in plates, x , and the number of 12in plates, y , that are in the cabinet?
Given that :
Total Number of plates = 15
Diameter of each plate : 7 in or 12 in
Diameter of all 15 plates = 140 in
Let number of 7 in and 12 in diameter plates = x and y respectively ;
x + y = 15 - - (1)
7x + 12y = 140 - - - (2)
x = 15 - y
Substitute x = 15 - y in (2)
7(15 - y) + 12y = 140
105 - 7y + 12y = 140
105 + 5y = 140
5y = 140 - 105
5y = 35
y = 7
From x = 15 - y
x = 15 - 7
x = 8
Number of 7 inch plate = 8
Number of 12 inch plate = 7
A city has 28 ambulances and 36 fire trucks . Find the ratio of the number of ambulances to the number of ambulances to number of fire trucks in simplest form
Answer:
28:35, which in fraction form is 28/35, but simplified is 4/5 or 4:5
Step-by-step explanation:
A triangle ABC and its translated image XYZ are shown below.What relationship CANNOT be used to prove that triangle ABC is congruent to triangle XYZ?
Answer:
The answer is "Angle-Angle-Angle".
Step-by-step explanation:
Please find the image file in the attachment.
The angle of an image, composed of two rays at such a popular end-state, could be described. Angles with a tape measure are measured in degrees, When the three angles congruence between two triangles, that is NOT the congruence of a triangle. It seems to be the same (and similar form, yet we know nothing of their scale. We may call us comparable.
The table shows a relationship between the number of
tennis balls that fit into a given
number of cans.
Fill in the missing values to complete the table. Use
the spaces to the right to explain your values,
Answer:
What events or steps are described?
Do these things need to occur in a particular order?
Step-by-step explanation:
The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?
Answer:
The measure of a base angle of one of the triangles is 54°
Step-by-step explanation:
In the isosceles triangle, the angle between the two equal sides called the vertex angle and the other two angles are equal and called base angles
∵ The total number of degrees in the center is 360°
∵ All five vertex angles meeting at the center are congruent
→ To find the measure of each vertex divide 360° by 5
∴ The measure of each vertex = 360° ÷ 5
∴ The measure of each vertex = 72°
∵ The base angles are equal in the isosceles triangle
∵ The sum of the measures of the angles of a triangle is 180°
→ Assume that the measure of each base angle is x
∴ x + x + 72° = 180°
∴ 2x + 72° = 180°
→ Subtract 72 from both sides
∵ 2x + 72 - 72 = 180 - 72
∴ 2x = 108
→ Divide both sides by 2 to find x
∴ x = 54
∴ The measure of each base angle = 54°
∴ The measure of a base angle of one of the triangles is 54°
Ty is placing CDs in boxes. There are a total of 7,200 CDs. Each box holds 90 CDs. How many boxes will Ty fill? A. 80 B. 70 C. 100 D. 90
Answer:
80 boxes.
Step-by-step explanation:
Total CDs available = 7200CDs
Amount of CD in each box = 90 CDs
To get the number of boxed Ty will fill, we will say;
90CDs = 1box
7200 CDs = x
Cross multiply
90 * x = 7200 * 1
90x = 7200
x = 7200/90
x = 80
Hence Ty will fill total of 80 boxes.
Answer:
80 CDS
Step-by-step explanation:
Total CDs available = 7200CDs
Amount of CD in each box = 90 CDs
To get the number of boxed Ty will fill, we will say;
90CDs = 1box
7200 CDs = x
Cross multiply
90 * x = 7200 * 1
90x = 7200
x = 7200/90
x = 80
Hence Ty will fill total of 80 boxes.
A car is traveling at a rate of 32 miles per hour. At this rate, how many miles will the car will travel in 30 minutes?
Pls this will make my christmas
Answer:
32/2 is 16.
So.... 16 miles per 30 minutes
Step-by-step explanation:
Merry Christmas
Answer:
16 miles in a half hour
Step-by-step explanation:
divide the hour in half and then divide the 32 mph to get the 16 mph.
Cindy was making desserts for a bake sale. She had 24 cups of sugar to work with. She used 3/4 of the sugar to make pies. She used the remaining sugar to make giant cookies. If each giant cookie needed 3/5 of a cup, how many cookies could Cindy make?
Answer:
she had 23 and 1/4 cups of sugar left to make the cookies.
93/4 is the improper fraction of that.
[tex]\frac{93}{4} / \frac{3}{5}[/tex]
the lowest common multiple is 20, so convert the fractions to have common denominator
[tex]\frac{465}{20} / \frac{12}{20}[/tex]
divide the numerators and you have your answer
38.75 cookies
Step-by-step explanation:
Exactly 512 tickets were sold for the talent show at Cypress Middle School. The number of student tickets sold was three times the number of adult tickets sold. How many adult and student tickets were sold?
Answer:
Number of adult tickets sold = 128
Number of student tickets sold = 384
Step-by-step explanation:
Given that:
There are two types of tickets:
1. Student tickets
2. Adult tickets
As per the question statement, number of student tickets sold were three times the adult tickets sold.
Let the number of adult tickets sold = [tex]x[/tex]
So, number of students tickets sold = [tex]3x[/tex]
Total number of tickets sold = Number of adult tickets sold + Number of student tickets sold = 512
[tex]\Rightarrow x+3x=512\\\Rightarrow 4x=512\\\Rightarrow x = 128[/tex]
Therefore, the answer is:
Number of adult tickets sold = 128
Number of student tickets sold = [tex]3\times 128[/tex] = 384
Beth works at a car lot. This week she sells $23,200 in cars. She earns 4% commission for all the
cars she sells. How much will she earn this week?
Answer:
$928
Step-by-step explanation:
23200/100 = 232
232 * 4 = 928
gary Sanchez struck out 112 times in 350 at bats. What PERCENTAGE of his at-bats were strike outs?
Answer:
it would be 32/100
Step-by-step explanation:
Answer:
32% of his bats were stuck out.
Step-by-step explanation:
What is the solution to the equation x/3+x/6=7/2?
A. x=3/2
B. x= 7/3
C. x= 3
D. x= 7
Answer:
x=7
Step-by-step explanation:
Marcello is an artist who makes oil paintings and charcoal sketches. He sells each oil painting for $500 and each charcoal sketch for $300. Marcello wants to create 56 works total. Write and solve a system of equations to determine how many pieces of artwork he must sell in order to make exactly $20,000
Answer:
He needs to sell 25 pieces of artwork.
Step-by-step explanation:
$500 for an oil painting.
$300 for a charcoal sketch.
56 pieces of artwork total.
$20,000 goal.
500 + 300
= 800
$800 for 1 oil painting and 1 charcoal sketch.
20,000 ÷ 800
= 25
He needs to sell 25 pieces of artwork to make $20,000.
which mathematical property is shown here
7+2=2+7
1 distributive property
2 commutative property
Answer:
Commutative property
Answer:
It is commutative property!
Step-by-step explanation:
Distributive is when the numbers are distributed while commutative is when you can swap around the numbers and nothing would change therefore the equation you gave is a commutative property
seven times a number equals
70
Show work
Answer:
7 times 10 equals 70
Step-by-step explanation:
70 divided by 7 equal 10 and 70 divided by 10 equal 7
Michells aim to swim a total of 23 miles in 4 weeks. The table below shows the number of miles she swam in the first 3 weeks. How many more miles does Michelle have to swim in week 4 to reach her target?
Answer:
c
Step-by-step explanation:
I said so and I did maths
The prices of different types of nuts are shown in the table.
Type of Nut Price per Pound
Almonds $9.15
Cashews $10.75
Peanuts $3.95
Mila buys 1.4 pounds of almonds, 0.8 pound of cashews, and 2.6 pounds of peanuts.
How much does Mila spend in all?
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
Hiiii please help and show how u did it
Answer:
x = 23
Step-by-step explanation:
Given
[tex]\frac{x-11}{2}[/tex] - [tex]\frac{x-3}{5}[/tex] = 2
Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions
5(x - 11) - 2(x - 3) = 20 ← distribute and simplify left side )
5x - 55 - 2x + 6 = 20
3x + 49 = 20 ( add 49 to both sides )
3x = 69 ( divide both sides by 3 )
x = 23
Solve x to the 4th power -3 x to the third power minus x squared minus 27x minus 90 equals 0 by finding all roots
Answer:
4x-27x-54-90=
Step-by-step explanation:
well first you have to subtract x which is -23x
then u have to bring 90+54 on the other side
which then leaves you with
-23x=144
x=-6.260869565217391
can i also get brainliest please
The United States government used to make coins of many different values
cont
3 cents
20 cents
$2
$5
For each coin, state its worth as a percentage of $1.
Type the answers in the boxes below.
1. cent
50
2. 3 cents
3
3. 20 cents
4. $2
Answer:
1. 50%
2. 3%
3. 20%
4. 200%
Step-by-step explanation:
Here, we want to find the worth of each coin as a percentage of $1
We simply divide the worth by $1 and multiply by 100%
$1 is same as 100 cents
Thus;
1. 50 cent
= 50/100 * 100% = 50%
2. 3 cents
= 3/100 * 100% = 3%
3. 20 cents
= 20/100 * 100% = 20%
4. $2
= 2/1 * 100% = 200%
FIVE AND FOUR TENTHS AS A DECIMAL AND FRACTION
Answer:
Decimal: 5.4
Fraction: 27/5
At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a children's ticket.
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Answer:
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Step-by-step explanation:
A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second.For which of these functions doesy represent the altitude of the hot air balloon if x represents the number of seconds since the pilot started her landing?
help helppp help i need answerr thank Uuuuuuuuu
Answer:
see explanation
Step-by-step explanation:
(a)
The angles are vertical and congruent, that is
x - 10 = 125 ( add 10 to both sides )
x = 135
-------------------------------------------------
(b)
Supplementary angles sum to 180°
The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then
2x + 3x = 180
5x = 180 ( divide both sides by 5 )
x = 36
thus
2x = 2 × 36 = 72
3x = 3 × 36 = 108
Then the 2 angles are 72° and 108°
Now you can mark them brainliest.
3 years ago lower bought a new car for 21,700 when she traded the car into a dealer last week it was worth 13,020. Find the percent decrease in the car's value over the 3 year.
Answer:
1.67 percent
Step-by-step explanation:
Someone please help on question 9
I will give you Brainliest
Answer:
(B). 38 cm³
Step-by-step explanation:
V = a² [tex]\frac{h}{3}[/tex]
a = 4.5 cm
h² = (6.1)² - ( [tex]\frac{4.5}{2}[/tex] )² = 32.1475
h = √32.1475 ≈ 5.67
V = (4.5)²( [tex]\frac{\sqrt{32.1475} }{3}[/tex] ) ≈ 38.27 ≈ 38 cm³
Answer:
[tex]38 cm^3[/tex]
Step-by-step explanation:
Given the slant height and a base side length of a right square pyramid, we can use these numbers to solve for the volume.
The formula for the volume of a square pyramid is generally known as:
[tex]V = 1/3 a^2h[/tex], where the variable 'a' represents the base side length and 'h' represents the height.
Since we are given the slant height, we can use Pythagorean's Theorem to calculate the height (non-slanted) when given a base side length by using the equation below:
[tex]a^2+b^2=c^2[/tex]
This is a special case because this is a right square pyramid, meaning we can use C squared and substitute that for the given slant height, 6.1 cm. The leg of the right triangle, which is [tex]\frac{s}{2}[/tex], takes place of 'b' which is 4.5. Now, given all of this, we can plug in our known values. Height is what we are solving.
[tex]h^2+\left(\frac{4.5}{2}\right)^2=6.1^2[/tex]
Now we will simplify and solve everything, and we get h; or the height, which equals 5.668977.
Now we can finally use the general formula to solve the volume of a square pyramid.
[tex]V = 1/3 a^2h[/tex]
Let's plug in everything now to find the volume — which we know that the height is approximately 5.66, and the base side length is 4.5.
[tex]V=\frac{1}{3}\left(4.5\right)^2\left(5.66\right)[/tex]
The volume from this formula equates to 38.205 cm³, or roughly 38 cm³, meaning the answer is B.
Una caja contiene 3 bolas verdes, 5 bolas rojas y 2 bolas azules. Si se extraen al azar dos bolas sin reposición, ¿cuál es la probabilidad de que la primera sea azul y la segunda sea verde?
Responder:
1/15
Explicación paso a paso:
Dado que :
Número bolas verdes = 3
Número de bolas rojas = 5
Número de bolas azules = 2
Dibujo sin reemplazo; probabilidad de que el primero sea azul, el segundo sea verde
Probabilidad = resultado requerido / Total de resultados posibles
Resultados posibles totales = 3 + 5 + 2 = 10
P (1er azul) = número de azules / 10
P (1er azul) = 2/10 = 1/5
Sin reemplazo :
Total restante = 10 - 1 = 9
P (segundo verde) = número de verdes / 9 = 3/9
Probabilidad del primer azul y del segundo verde:
1/5 * 3/9 = 3/45 = 1/15
The probability that the first is blue and the second is green is 1/15
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcomeIf a box contains 3 green balls, 5 red balls and 2 blue balls, the total number of balls is 10balls
Total outcome = 10 ballsIf blue is selected at first, the probability of selecting blue is 2/10 = 1/5If green is selected without replacement, the probability of selecting green will be 3/9Pr(selecting red and then green) = 1/5 * 1/3 = 1/15Learn more on probability here: https://brainly.com/question/24756209
A bicycle wheel has a diameter of 28 inches. Which expression can be used to describe the circumference of the wheel as it relates to diameter?
Given:
The diameter of a bicycle wheel is 28 inches.
To find:
The circumference of the wheel as it relates to diameter.
Solution:
We have,
Diameter: [tex]d=28\text{ inches}[/tex]
We know that,
Radius: [tex]r=\dfrac{d}{2}[/tex]
[tex]r=\dfrac{28}{2}\text{ inches}[/tex]
The circumference of a circle is
[tex]C=2\pi r[/tex]
Putting [tex]r=\dfrac{28}{2}[/tex], we get
[tex]C=2\times \pi \times \dfrac{28}{2}[/tex]
[tex]C=28\times \pi[/tex]
Therefore, the correct option is (H).
Need help on this please and thank you
Step-by-step explanation:
a. 4/7t =56
4t= 392
t=98
b. 4=1/2 b -12
4+12=1/2 b
16=1/2 b
so, b =32
Jeyniel wrote the expression x^3/y^2. If x=4 and y=2; how much is the value of the expression? *
Answer:
The answer is 16
Step-by-step explanation:
X^3=64
Y^2=4
so 64 divided by 4 is 16
Answer:
16
Step-by-step explanation:
this might help you
Elias has joined a game rental service. The membership has an initial fee of $35.00 and each game rental costs $5.00. This table shows the linear relationship between the total cost, y, and the number of games Elias rents, x. Fill in each box to correctly model the relationship between x and y.
Answer:
y=mx+b
y=35+5x
Step-by-step explanation: