Answer:
Step-by-step explanation:
Givens
4 scones
1 loaf of bread
Total cost = 3.30
Equation
Let the loaf of bread = b
Let the scones = s
Cost = b + 4s
Solution
Substitute the givens into the equation
b + 4s = Cost
90 + 4s = 3.30 Subtract 90 from both sides
90-90 + 4s = 3.30-90 Combine
4s = 2.40 Divide by 4
4s/4 = 2.40/4
s = 0.6 of a pound
Answer: 1 scone = 60 pence.
mutiply (x-3)(4x+2) using the foul method
Answer: [tex]4x^2-10x-6[/tex]
Step-by-step explanation:
[tex](x-3)(4x+2)[/tex]
[tex]Expand[/tex] [tex]the[/tex] [tex]polynomial[/tex] [tex]using[/tex] [tex]the[/tex] [tex]FOIL[/tex] [tex]method[/tex].
Therefore your answer is [tex]4x^2-10x-6[/tex]
Answer:
4x^2 -10x + 6
Step-by-step explanation:
multiply (x-3)(4x+2) using the foil method
(x*4x)+(x*2)+(-3*4x)+(3*2)= 4x^2+2x-12x+6 = 4x^2 -10x + 6
Determine if square root of three is rational or rational and why
Answer:
Irrational
Step-by-step explanation:
If the number goes on and on it’s irrational
Hope this helps! ;-)
Answer:
It is not rational because the square root of 3 is not a fraction nor a repeating decimal.
Plot the points on the coordinate plane and answer the questions. K(11, ....), L(...., 11), and M(40, ....) are on that line, too. What are the missing coordinates?
Answer:
K(11,19), L(7,11), M(40,77).
Step-by-step explanation:
In my local travel shop i can exchange euros for british pounds when i come back from holiday. I get £1 for every 1.46 euros. Complete this table for different values of euros that people exchanged in front of me in the shop.
21. 14.60 euros in pounds =
22. 109.50 euros in pounds =
23. 73 euros in pounds =
24. 365 euros in pounds =
Answer:
21. £10
22. £75
23. £50
24. £250
Step-by-step explanation:
Rate: 1.46 euros per £1
Q21
14.60 euros in pounds14.60/1.46 = £10Q22
109.50 euros 109.50/1.46 = £75Q23
73 euros73/1.46 = £50Q24
365 euros365/1.46 = £250Answer:
21. £10
22. £75
23. £50
24. £250
Step-by-step explanation:
Exchange rate:
£1 = ∈1.46
To convert from euros to pounds, divide the euros by 1.46
To convert from pounds to euros, multiply the pounds by 1.46
Question 21
14.60 euros = 14.60 ÷ 1.46 = £10
Question 22
109.50 euros = 109.50 ÷ 1.46 = £75
Question 23
73 euros = 73 ÷ 1.46 = £50
Question 24
365 euros = 365 ÷ 1.46 = £250
What is the value of x?
what is the answer for r= 8, d = 2x - 4?
Answer:
2
Step-by-step explanation:
2x -4= 0
2x-4+4=0
2x=0+4
2x=4
2x/2=4/2
x=2
Find the equation of a line parallel to -x + y = -5 that passes through the point
(-6,-8).
Oy=x-5
O-x+y=-2
Submit Answer
Oy=-x-2
O-z-y=14
Answer:
O -x+y=-2
Step-by-step explanation:
-x + y = -5
⇔ y = x - 5
a line parallel to y = x - 5 must have the same slope as the line y = x - 5
Then
The equation of the parallel line is of the form : y = x + p
Finding p :
the point (-6,-8) lies on the parallel line means :
-8 = -6 + p
Then
p = -8 + 6 = -2
Finally :
y = x - 2 ⇔ -x + y = -2
Mrs. Clements has a table with a top that is shaped like the trapezoid shown. Find the area of the table top in square feet? hurry plss
It is to be noted that the area of the Trapezoid is: 28 Feet. See the details of the solution below.
What is the formula for the area of a Trapezoid?The formula for the area of a regular Trapezoid is:
A = h * ((a+b)/2);
Where
A = Area
a = Short Base
b = Long Base
h = Height
So what is the solution for the above trapezoid?Following the above formula,
A = 4 * ((5+9)/2)
A = 4 * (14/2)
A = 4 * 7
A = 28 Feet.
Learn more about Trapezoids at:
https://brainly.com/question/1410008
#SPJ1
1) |x-(-18)| if x<-18
2) |2x| if x<0
3) |x-120| if x<120
The results of the absolute value expressions are:
|x - (-18)| if x < -18 is greater than 0|2x| if x < 0 is greater than 0|x - 120| if x<120 is greater than 0How to solve the absolute value expressionsExpression 1:
We have: |x - (-18)| if x<-18
Open the bracket
|x + 18|
If x < -18, then the values of x are above -18 i.e. -19, -20...
This means that: |x + 18| > 0
Hence, |x - (-18)| if x < -18 is greater than 0
Expression 2:
We have: |2x| if x < 0
If x < 0, then the above equation would be greater than 0
Hence, |2x| if x < 0 is greater than 0
Expression 3:
We have: |x - 120| if x<120
If x < 120, then the values of x are less 120 i.e. 119, 118...
This means that: |x - 120| > 0
Hence, |x - 120| if x<120 is greater than 0
Read more about absolute value expressions at:
https://brainly.com/question/3381225
#SPJ1
9. The number of books in a class library is 17 more than 3 times the number of students in the class. If 5 students are absent, each student can borrow exactly 4 books from the library. Find the number of students in the class.
Answer: 37 students in the class
Step-by-step explanation:
Let n = number of books,
Let s = number of students
We get the following expressions:
n = 3s + 17
4 = [tex]\frac{n}{s-5}[/tex]
Solve this system using substitution:
[tex]4=\frac{3s+17}{s-5}[/tex]
[tex]4(s-5) = \frac{3s+17}{s-5} (s-5)[/tex]
[tex]4s -20 = 3s+17\\[/tex]
[tex]s-37 = 0\\[/tex]
[tex]s=37[/tex]
The tree diagram represents an
experiment consisting of two trials.
Enter the probability to the hundredths place.
Do not round.
The value of the probability P(D) is 0.74
How to estimate the probabilty?Using the tree diagram, the value of P(D) is represented as:
P(D) = P(B and D) + P(A and D)
Using the values on the tree diagram, we have:
P(D) = 0.4 * 0.8 + 0.6 * 0.7
Evaluate
P(D) = 0.74
Hence, the value of the probability P(D) is 0.74
Read more about probability at:
https://brainly.com/question/25870256
#SPJ1
Tony bought a $25 hornets t-shirt and used a coupon for a 25% discount. Keith bought an identical t-shirt at a different store for $19.95. which statement is true?
A.Tony paid $2.55 less than keith paid.
B.Tony paid $1.20 less than keith paid.
C.Keith paid $2.55 less than tony paid.
D.Keith paid $1.20 less than tony paid.
Answer: Tony paid $1.20 less than Keith paid.
Step-by-step explanation: Easy math, try asking your teacher for help. It takes time.
Can the sides of a triangle have lengths 2, 13, and 14?
Answer:
Yes
Step-by-step explanation:
The larger side is smaller than the other sides combined
(2 + 13) > 14
Hope this helps
Circle K has a radius of 8 inches. Diameter AKC is drawn and point F is located on the circle such that
FC = 6. Which of the following is closest to the length of FA?
(1) 5.3
(2) 8.7
(3) 12.4
(4) 14.8
If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.
LengthMAC=1/2×360°=180°
mΔAFC=1/2×180°=90°
Circumference angle theorem
AK=8
AC=2
AK=16
Pythagorean theorem
FA²+FC²=AC²
Substitution
FA²+6²=16²
FA²+36=256
FA²=√220
FA=14.8
Therefore the figure that is closest to the length of FA is: 14.8.
Learn more about length here:https://brainly.com/question/2217700
#SPJ1
pls help i’ll give 20 points and brainliest
Answer:
all you have to do is plug points into the equation m=(x1-x2)/(y1-y2) to find the slope. then choose one of the points to plug into the equation y-y1=m(x-x1).
Step-by-step explanation:
use the formulae for each question.
why π is not equal to 3.1416
Answer:
pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive
Step-by-step explanation:
In decimal form, the value of pi is approximately 3.14. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). (To only 18 decimal places, pi is 3.141592653589793238.)
Need help please .The ares of the sector shown below is 59 yd^2 find the length of the radius. Round to the nearest whole number use 3.14 for pi
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=59\\ \theta =40 \end{cases}\implies 59=\cfrac{(40)\pi r^2}{360}\implies 59(360)=40\pi r^2 \\\\\\ \cfrac{59(360)}{40\pi }=r^2\implies \cfrac{531}{\pi }=r^2\implies \sqrt{\cfrac{531}{\pi }}=r\implies 13\approx r[/tex]
What is the slope of a line that goes through (2,-2) and (5,6)?
Step-by-step explanation:
The slope formula from 2 points is:
m=(y2-y1)/(x2-x1)
So input the numbers:
m = (6 - -2) / (5 - 2)
Solve within parenthesis:
m = (8) / (3)
Then divide!
8/3 = 2 2/3
the slope of the line is 2 and 2/3
A drama class has a total of 35 students the number of females is 13 less than the number of males. How many males and how many females are in the class
Subtract the difference of girls and boys from total kids:
35 -13 = 22
Divide 22 in half:
22/2 = 11
number of females = 11
Number of males = 11 + 13 = 24
Answer:
24 males, 11 females
Step-by-step explanation:
Solved with equations:
m = males, f = females
The equations:
[tex]m+f=35\\m-f=13[/tex]
Add the two equations:
[tex]2m=48[/tex]
[tex]m=48/2=24[/tex] males
Number of females:
[tex]24+f=35\\f=35-24\\f=11[/tex]
Hope this helps
2) A 6-pack of energy drinks costs $3.00. The unit rate is $
Your answer
Keller has $15 from babysitting. He spends $3 on a cat toy and
$3 on markers.
Match the model to the correct equation showing how much
money Keller has left.
$15
15 = m +3+3
15 + 6 = m
15 - 3 - 3 m
3+3+15 m
Subre
Answer:
c.
Step-by-step explanation:
15-3-3=9...........
What is the additive inverse of the complex number –12 4i? –12 – 4i –12 4i 12 – 4i 12 4i
The additive inverse of the complex number -12 + 4i is 12 - 4i
How to determine the additive inverse?The complex number is given as:
-12 + 4i
The additive inverse of a complex number a + bi is -a - bi
This means that the additive inverse of -12 + 4i is 12 - 4i
Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i
Read more about complex numbers at:
https://brainly.com/question/10662770
#SPJ4
Answer:
It's C
Step-by-step explanation:
At a park, the logging trail is a circle with a radius of 200 meters. how far is it around the trail? use 3.14 or pi. show your work
Answer:
400π
Decimal Form:
1256.63706143
Explanation: To find the around the trail, you'll use the circumference formula.
2πr
2 x 3.14 x 200
One cubic foot of concrete weighs about 145 pounds. What is the weight of 19 cubic feet of concrete?
Answer:
2755
Step-by-step explanation:
One cubic foot=145 pounds, so we can do 145x19=2755 lbs.
The required weight of 19 cubic feet of concrete is 2755 pounds.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
One cubic foot of concrete weighs about 145 pounds.
weight of 19 cubic feet of concrete = 19 × 145 = 2755 pounds.
Thus, the required weight of 19 cubic feet of concrete is 2755 pounds.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
6 + 33 divided by 9 what is it
Answer:
I think its 4.9
Step-by-step explanation:
i used a calculator
Answer:
6+33/9 ≈ 9.67
Step-by-step explanation:
first you have to divide 33 by 9 getting roughly 3.67
once you have that u add 6
roughly giving you 9.67
89. 70 is what percent of 350?
Step-by-step explanation:
100% = 350
1% = 100%/100 = 350/100 = 3.5
how many % are 70 ? well, as many as often 1% fits into 70 :
70/3.5 = 20%
write your answer in scientific notation:
5,870,000,000,000 x 2000
Answer:
1.174 X 10^16
Step-by-step explanation:
since 5,870,000,000,000 X 2000 = 11,740,000,000,000,000 = 1.174 X 10^16
21.
1 point
A movie theater is showing three different movies. The dot plots represent
the ages of the people who were at the Saturday afternoon showing of each
of these movies. One of these movies was an animated movie rated G for
general audiences. Do you think it was Movie A, B. or C?*
movie A
30 35
45 50
55
movie B
50
10
movie C
Mark only one oval.
A
000
15
age
35
.....
45
50
Answer:
One of these movies was an animated movie rated G for general audiences. Do you think it was movie A, B, or C?
movie B
Which movie has a dot plot with ages that that center at about 30 years?
movie C
What is a typical age for the people who were at Movie A?
40
Step-by-step explanation:
I had the same question but I'm pretty sure that is the correct answer for it, sorry if I am wrong.
To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards
The perimeter of the picnic area is 107 yards
Complete Question:A triangular picnic area has the side lengths of 45, 31 and 31 yards; To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards
How to determine the perimeter?From the complete question, we have:
Shape: Triangle
Side lengths = 45 yards, 31 yards, 31 yards
The perimeter is the sum of the side lengths.
So, we have:
Perimeter = 45 + 31 + 31
Evaluate
Perimeter = 107
Hence, the perimeter of the picnic area is 107 yards
Read more about perimeter at:
https://brainly.com/question/24571594
#SPJ1
Answer:B
Step-by-step explanation:
107 Yards
What is the circumference of the circle?
Answer:
[tex]\huge\boxed{\bf\:E) \: \: 31.4 \: \:feet}[/tex]
Step-by-step explanation:
Since the tetherball is in the centre of the circle, any distance from it to the edge of the circle will be its radius. So, radius (r) = 5 ft.
Now, the formula for the cirumference of a circle = 2πr
Circumference of the circle
= 2πr
= 2 × 3.14 × 5 [π = 3.14]
= 31.4 feet (option E)
[tex]\rule{150pt}{2pt}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}}\diamond[/tex]
What is the circumference of the circle? (Its radius is 5 ft)
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
The distance from the tetherball pole to the edge of the circle is the radius of the circle; we're given that it's 5 feet (ft).
We're asked to find the circumference of the circle, which can be found using the following formula:-
❖ [tex]\sf{C=2\pi r}[/tex]
Where:-
C=circumferenceπ=pi (3.14...)r=radiusSubstitute 5 for r:-
[tex]\sf{C=2\pi (5)}[/tex]
On simplification,
[tex]\sf{C=10\pi}[/tex]
On further simplification,
[tex]\sf{C=31.4\:feet}[/tex]
So we conclude that the right option is:-
[tex]\checkmark\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:E}}}\bigstar\dashleftarrow\checkmark[/tex]
Good luck.-- - - - - - - - - - - - - - - - - - - - - - -- - - - - - - -