Answer: 5(3n+4r)
Step-by-step explanation:You need to find the gcf/factor .So the gcf of 15 and 20 is 5.So know that you know the gcf ,you divide 15n by 5 which gives you 3n and divide 20r by5 which gives you 4r.Now the last thing you do is,take the GCF which is 5 and place a Parentheses and take 3n and 4r and add them together.
So you get 5(3n+4r) as your expression that is equivalent to 15n + 20r .
Hope it helps . :)
A family discount card offers deals for the cinema. The card states:
The cost of an adult is $10. A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to save
money on the cost of the card? 7m
Answer:
a)£21.80
b) 3 trips
Step-by-step explanation:
The cost of an adult is $10.
A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
(a)
Adults: 2 × £10 = £20
(45 ÷ 100) x £20 = £9
£20 - £9 = £11
Children: 3 × £6 = £18
2 /5 of £18 = £7.20
£18 - £7.20 = £10.80
Total: £11 + £10.80 = £21.80
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?
(b) Cost without discount = £20 + £18 = £38b)
No card
1 trip
1 × £38 = £38
2 × £38 = £76
3 × £ 38 = £114
With card
£40 + (1 × £21.80) = £61.80
2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60
3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40
3 trips before the discount card starts being cheaper than regular price
True or False: The rate at which men and women preferred SUV's are exactly the same.
True
False
Answer:
False
Step-by-step explanation:
The male's want sports cars more and the female's want SUV's more.
Which object has volume?
a bottle of orange paint
a soccer pitch
a playing card
a stop sign
Answer:
All of them but the biggest is soccer pitch
Step-by-step explanation:
Volume is how much something takes up of space.
Use Pythagorean theorem to solve for x
Answer:
339.7705
Step-by-step explanation:
\int \frac{x}{\left(1-x^2\right)^{\frac{3}{4}}}dx
Answer:
x 5/4 y 10/3 over 2
Step-by-step explanation:
Write 16.24 as a fraction in simplest form
Answer:
2/3
Step-by-step explanation:
16/24 = 14/ 21 = 12/ 18 10/ 15 8/12 6/9 4/6 = 2/3
The simplest form of the number 16.24 in fraction would be 406/25.
Used the concept of fraction which states that,
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that,
The number is 16.24.
Now, it can be written as,
[tex]16.24 = \dfrac{16.24 \times 100}{100}[/tex]
[tex]= \dfrac{1624}{100}[/tex]
Therefore, the simplest form is,
[tex]= \dfrac{406}{25}[/tex]
To learn more about the fraction visit:
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Please help this is my last attempt and I keep getting it wrong :( please and thank you picture is attached
Answer:
-7
Step-by-step explanation:
the co ordinate of f(-5) is -7
Can Somebody please help me?
is a spray bottle a gallon pint quart or cup
Answer:
most bottles are
about 2 pints
Step-by-step explanation:
Plz mark brainliest!
Answer:
I depends on the size a big can have 2 cups ,a medium can have 1 cup and the small has 2 pints
Step-by-step explanation:
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Angle DEB is 71. What size is ABD
Answer:
71°
Step-by-step explanation:
ABD is alternate to DEB. Therefore ADB = DEB = 71°
The required size of angle ABD is 71.
What is alternate segment theorem?The theorem states that “For any circle, the angle formed between the tangent and the chord through the point of contact of the tangent is equal to the angle formed by the chord in the alternate segment”.
Now it is given that,
angle DEB = 71
Also given that B is the point on the circumference of the circle, and suppose “O” be the centre of the circle.
Now, AC is the tangent of the circle that passes through point B.
The tangent makes an angle ABD with the chord BD.
Now, given that ∠DEB = 71 in the alternate segment.
Now, we have to prove that ∠ABD = 71.
Thus, OD =OB (Both are the radii of the circle)
Also, ∠ODB = ∠OBD (since the angles opposite to the equal sides are equal)
Since, OBD is an isosceles triangle
∠BOD = 180° – ∠ODB – ∠OBD
∠BOD = 180° – 2∠OBD …(1)
Since, the line segment AC is the tangent line,
∠OBA = 90°
Therefore, ∠OBA = 90° – ∠OBD …(2)
From the equations (1) and (2), we can write
∠AOB = 2∠DEB
We know that the angle at the centre of the circle is twice the angle at the circumference of the circle.
∠BOD = 2∠DEB
∠DEB = (½)∠BOD
Now, substitute ∠BOD = 2∠DEB in the above equation, we get
∠DEB = (½)2∠DEB
∠DEB = ∠DEB
⇒ ∠DEB =71
Thus, the required size of angle ABD is 71.
To learn more about angles :
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Find the area of the shape shown below.
Answer:
Total Area = 26.75
Step-by-step explanation:
Remark
The hardest triangle to see is the top one. So we'll start with it.
It has a vertical leg of 3.5 and a horizontal one of 2 + 2 + 5 = 9
Top Triangle Area
Area = 1/2 base * height
Area = 1/2 * 9 * 3.5
Area = 15.75
Triangle on the lower left
Area = 1/2 * 2 * 2
Area = 2
Square on lower middle
Area = 2*2
Area = 4
Triangle on lower right area
Area = 1/2 * 2 * 5
Area = 5
Total Area
Total Area = 5 + 4 + 2 + 15.75
Total Area = 26.75
find the value of -12.8-88.2
Answer:
-101
Step-by-step explanation:
Answer:
-101
Step-by-step explanation:
-12.8-88.2 is equal to -101
Question 7
1 pts
8. Tianna worked 45 hours last week. Her employer pays time and a half for hours over 40. Her gross pay was $451.25. What is her
hourly rate?
Answer:
$9.50
Step-by-step explanation:
40x + (5*1.5*x) = 451.25
40x + 7.5x = 451.25
47.5x = 451.25
x = 9.50
13. Which property is illustrated by the statement 3•1=3?
A Associative
C. Distributive
B. Commutative
D. Identity
it's a I know this because I'm in the 8th
Step-by-step explanation:
it's a
there are 36 students playing tag at recess. this is six times as many as are playing hopscotch which model shows the comparison
Answer:
6 are playing hopscotch
Step-by-step explanation:
simplify the expression -2(t + 7)
Answer:
-2t-14
Step-by-step explanation:
Answer:
-2t - 14
Step-by-step explanation:
-2(t + 7)
distribute
(-2 * t) + (-2 * 7)
-2t + -2 * 7
-2t - 14
The histogram gives information about a fitness club
Answer:
a)
b) 99
Step-by-step explanation:
i'm not sure about a
but for b i got 99 members
Which Word names of the shape that looks like a rectangle
Answer:
The name of the shape that looks like a rectangle is a square
Cesar bought lunch at school. He had a sandwich and a drink that cost $12. His drink cost $3.50. Solve the equation 12=s+3.50 to find the cost of 's sandwich, s.
Answer:
$8.50
Step-by-step explanation:
12=s+3.50
-3.50 -3.50
8.50=s
"in the table below, Identify the figure,find it's perimeter, and find it's area.". <- that's the question
Answer:
✔️Quarter circle
✔️Area = 38.5 cm² (nearest tenth)
✔️Perimeter = 25.0 cm (nearest tenth)
Step-by-step explanation:
✔️The figure given is a ¼ circle
Radius is given as = 7 cm
✔️Area = ¼(πr²)
Plug in the value of r
Area = ¼(π*7²)
Area = ¼(π*49)
Area = 38.5 cm² (nearest tenth)
✔️Perimeter = ¼(2πr) + 2r
Plug in the value of r
Perimeter = ¼(2*π*7) + 2(7)
Perimeter = ¼(14π) + 14
Perimeter = 25.0 cm (nearest tenth)
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.
A. 2 x ? = 7 1/2
B. 7 1/2 x ? = 2
C. 2 x 7 1/2 = ?
D. ? x 7 1/2 = 2
E. ? x 2 = 7 1/2
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Step-by-step explanation:
7 [tex]\frac{1}{2}[/tex] ÷ 2
A. 2 × ? = 7[tex]\frac{1}{2}[/tex]
Divide 2 on both sides to bring all the constants on one side...
? = 7 1/2 ÷ 2
B. 7 1/2 x ? = 2
Divide 7 1/2 on both sides to isolate the ?
? = 2 ÷ 7 1/2
C. 2 x 7 1/2
You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2
D. ? x 7 1/2 = 2
Divide 7 1/2 on both sides
? = 2÷ 7 1/2
E. It's basically the same thing as A
Whatever is bolded is the answer
I hope this made sense and I hope this helps!!!
The product of two whole numbers is 608 and their sum is 51 .what are the two numbers ?
Answer:
The product of 19 and 32 is 608 and their sum adds up to 51.
The two numbers are: 19 and 32
An item is originally $52. It is on sale for 20% off. What is the sale price?
Answer:
$41.6
Step-by-step explanation:
20/100 x 52 = 10.4
52 - 10.4 = 41.6
MATH WORK PLEASE HELP GIVING MANY POINTS ONLY DO THE ONES IN PURPLE!!
Answer:
Step-by-step explanation:
8,3,4,6,7,2,5,
Given a1 = 1 and an = an-1 + 2. Find a7.
A 9
B 11
C 7
D 13
Answer:
7
Step-by-step explanation:
Sorry if my answer is wrong
PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!
Answer:
4 quizzes are taken per week
1. What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (ie, if you increase one variable what happens to the acceleration?)
Answer:
Force = mass * acceleration
Acceleration = force/mass
As force increases, acceleration increases.
As mass increases acceleration decreases
Step-by-step explanation:
Find the value of x help please.
Answer:
x= 6
Step-by-step explanation:
since the triangle is isosceles we know that opposite sides are equal
[tex]5x+5=35\\\\5x=35-5\\\\5x=30\\\\x=\frac{30}{5}\\\\x=6[/tex]
Answer:
[tex]\boxed {\boxed {\sf x=6}}[/tex]
Step-by-step explanation:
An isosceles triangle has 2 equal base angles and 2 equal legs.
In this triangle, 16 must be the base, because the base angles are adjacent. Therefore, the legs are 35 and 5x+5. They must be equal to each other.
[tex]35=5x+5[/tex]
Solve for the value of x by isolating the variable on one side of the equation.
5 is being added to 5x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
[tex]35-5=5x+5-5 \\ 35-5=5x\\30=5x[/tex]
x is being multiplied by 5. The inverse of multiplication is division. Divide both sides by 5.
[tex]\frac{30}{5} =\frac{5x}{5} \\\frac{30}{5}=x\\6=x[/tex]
The value of x is 6.
4. If f(x) = 3x + 2, find f(4)?
Answer:
3(4)+2= 14
Step-by-step explanation:
Answer:14
Step-by-step explanation:
You plug in the value of x=4, into the function. Giving you f(4)=3(4)+2