Answer:
Stephen gets £147
Step-by-step explanation:
Given
Let
[tex]S = Stephen; B = Bridget; R = Richard[/tex]
So:
[tex]S + B + R = 490[/tex]
[tex]R = 2S[/tex]
[tex]S = 3B[/tex]
Required
Find S
Make B the subject in [tex]S = 3B[/tex]
[tex]B = \frac{S}{3}[/tex]
Substitute: [tex]R = 2S[/tex] and [tex]B = \frac{S}{3}[/tex] in [tex]S + B + R = 490[/tex]
[tex]S + \frac{S}{3} + 2S = 490[/tex]
Take LCM
[tex]\frac{3S + S + 6S}{3}= 490[/tex]
[tex]\frac{10S}{3}= 490[/tex]
Solve for S
[tex]S = \frac{490 * 3}{10}[/tex]
[tex]S = 49 * 3[/tex]
[tex]S = 147[/tex]
Stephen gets £147
MGSE8.G.8: Graph and label triangle PQR whose
vertices are located at P(-5, 2), Q(7,-3), R(7, 2).
Determine the length of each side and show work
to justify your answers.
Answer:
Step-by-step explanation:
The measure of sides of ΔPQR are PQ=13 units, QR=5 units and RP=2 units.
Given that, triangle PQR whose vertices are located at P(-5, 2), Q(7,-3), R(7, 2).
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x1, y1) and (x2, y2) is Distance = √[(x2-x1)²+(y2-y1)²].
Using distance formula,
PQ =√[(7+5)²+(-3-2)²]
= √169
= 13 units
QR =√[(7-7)²+(2+3)²]
= √25
= 5 units
RP =√[(-5+7)²+(2-2)²]
= √4
= 2 units
Therefore, the measure of sides of ΔPQR are PQ=13 units, QR=5 units and RP=2 units.
To learn more about the distance formula visit:
brainly.com/question/27262878.
#SPJ2
me pueden ayudar por favor si no saben no respondan (:
Answer:
Step-by-step explanation:
y varies directly as x if y is 2 when x is 8 then the constant of variation is 1/4
a.true
b.false
Answer:
a. True.
Step-by-step explanation:
y = kx
y = 2 when x = 8 gives:
2 = 8 * k
k = 2/8 = 1/4.
Given triangle ABC if AB=( 2x-5 ). and AC = (3X -9) Find the value of X if AB = AC
Answer:
x=4
Step-by-step explanation:
if AB = 2x-5 and AC = 3x-9 and AB=AC then:
2x-5 = 3x-9
-x-5=-9
-x=-4
x=4
A line of best fit for a data set has equation y = 3x - 4. What y-value would you predict for an x-value of 8 in this data set?
A 4
B. 8
C. 16
D. 20
Answer:
D. 20
Step-by-step explanation:
The line of best fit for the equation is:
[tex]y = 3x - 4[/tex]
When x = 8
We have to find y. So
[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]
So the correct answer is given by option D.
Here are some of the lowest tempatures recorded in the last 2 centuries for some US cities. Tempatures are in degrees Farhrenheit. Which of these states has the lowest record tempature?
-Death valley, CA -45 in January of 1937
-Danbury,CT was -37 in Febuary of 1943
-Monticello, FL was -2 in Febuary of 1899
- East saint Louis,IL was -36 in January of 1999
- Greenvillie, GA was -17 in january of 1940
Answer:
wouldn't it be A?
Step-by-step explanation:
factor the expression using gcf 98-70
Answer:
The Greatest Common Factor (GCF) for 70 and 98, notation CGF(70,98), is 14.
Step-by-step explanation:
Susan wants to collect data about the exercise habits of her friends.
Which questions are statistical questions she could ask?
Select each correct answer.
What time of the day are my friends most likely to exercise?
How many days each week does Melanie exercise?
What types of exercise do my friends prefer?
Does Heather like to do different exercises?
How many times a week do my friends exercise?
Answer: I hope this helps you.
Mike is 6.2 feet tall and casts a shadow that is 10.7 feet long. At the same time, a tree casts a shadow that is 37.5 feet long. How tall is the tree to the nearest tenth of a foot?
Answer:
I think it's 38
PLEASE HELP I WILL GIVE YOU BRAINLIEST
Answer
32
Step-by-step explanation:
fffff
A. Zara is learning about surface area and volume in math class. She begins to notice that she can apply this geometry in everyday life. When her mom makes a jelly sandwich for her lunch, Zara notices it is similar to a rectangular prism and decides to measure its dimensions. She measures the length as 13 cm, the width as 10.8 cm, and the height as 3 cm, as shown below. What is the volume of Zara's sandwich? Show your work.
B. What is the surface area of Zara's sandwich? Show your work.
C. Zara cuts her sandwich in half down the middle, dividing it into two equal pieces. She then stacks one half of the sandwich on top of the other, as shown below.
Please help I have been stuck for a while now
Answer:
D
Step-by-step explanation:
The line-of best fit is where a line would be drawn if there was one. The line goes through the majority of the dots and doesn't touch the outliers. Also the line is strait.
HELP CAN SOMEONE HELP ME MATH I'LL GIVE BRAINLIEST
Answer:
Student C wrote the correct inequality
the inequality will be less than or equal to since we want to spend (exactly) 300 or less. We only buy one jacket for 60 dollars so it will be added seperately to the total number of jackets. We are buying multiple jackets and each jacket costs $40. P = # of pants. So the inequality will look like
60 + 40P (less than or equal to symbol) 300
Hope I'm not too late :)
can someone help me with this math problem pls? will give thanks!
Answer:
sin(A) = opp / hyp
=a/hyp. =9/15
cos(A) = adj/hyp
=b/hyp. =12/15
Tan(A) = sin(A) / cos(A)
= 9/15 / 12/15
=9/12. (you can further simplify it)
same for the B angle,
sin(B) = b/15
=12/15
cos(B) = a/15
=9/15
tan(B) = sin(B) / cos(B)
= 12/15 / 9/15
=12/9
Jesse went out for a 4-course meal were he had a choice of 3 salads, 3 appetizers, 4 entrees, and 5 desserts. How many different four-course meals are possible?
Answer:
180 different four-course meals
Step-by-step explanation:
So you have one out of 3 salads, one out of 3 appetizers, one out of 4 entrees, and one out of 5 deserts. To find the number of meals that are possible, multiply 3 by 3 by 4 by 5
3 * 3 = 9
9 * 4 = 36
36 * 5 = 180
the square below is being reduced by a scale factor of one-third. what is the perimeter of the new drawing
Answer:
one side = 3cm
Step-by-step explanation:
S.f=1/3
1 side=9÷3 = 3
Use the distributive property to expand (simplify): 5(12mu - 7v)
Answer:
60mu - 35vStep-by-step explanation:
You disturbute 5 into the 12 and add mu and your answer and distribute 5 into the 7 and keep the v with your answer.Hopes this works.[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\textsf{The \textbf{distributive property} states the following:}[/tex]
[tex].\qquad\bullet\sf{a(b+c)=ab+ac}[/tex]
[tex]\textsf{So we take a number or a variable \textbf{a} and distribute it by multiplying it times b and c}[/tex]
[tex]\textsf{Now we simplify.}[/tex]
[tex]\textsf{5(12mu-7v)=5*12mu-5*7v=60mu-35v}[/tex]
[tex]\Large\textsf{\textbf{Answer: 60mu-35v}}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]
After eating dinner at a restaurant, Alex's bill before tax is $78.00. The sales tax rate is 8%. Alex decides to leave a 20% tip for the waiter based on the pre-tax amount. How much money will Alex pay total, including tax and the tip?
Alex's will pay a total of $99.86
Step-by-step explanation:
Tax Rate:
$78.00+8%
8% of $78.00=6.24
78.00+6.24=84.24
Tip:
20% of 78.00=15.6
Total:
(Bill+Tax) 84.24+(Tip)15.6=$99.86
Roger decides to buy a new printer. He wants a printer which prints the most pages per minute (ppm). Printer A can print up to
33
pages per minute, which can be modeled with the equation
p
=
33
m
where
p
represents the number of pages and
m
represents the number of minutes passed. The rate at which the second printer functions is shown in the table.
Which printer should Roger choose, and how many more pages a minute will he be able to print?
Printer A;
5
more pages per minute
Printer A; 5 more pages per minute
Printer B;
2
more pages per minute
Printer B; 2 more pages per minute
Printer B;
5
more pages per minute
Printer B; 5 more pages per minute
It does not matter; both printers print at the same rate.
It does not matter; both printers print at the same rate.
Answer:
That's alot of words its kinda hard to understand
Find the area of a parallelogram. If base = 24 cm; height= 15 cm
Find the area of a rectangle. If length = 12 cm; height= 3 cm.
Find the area of a rectangle. If length = 25 cm; height= 4 cm.
Find the area of a square. If one side measures 16 cm. *
6. Find the area of a square. If one side measures 100 cm. *
7. Find the area of a triangle. If base is 24 cm; height = 3. *
8. Find the area of a circle. If the diameter is 10 cm . *
9. Find the area of a circle. If the radius is 7 cm . *
10 . Find the area of a semicircle. If the radius is 4 cm . *
Answer:
1. 360 , 2.36, 3.100, 4.256, 5.10000 , 6.72,
please help with these problems!! It’s getting really late and they’re due !!
Answer:
b = 9 inches
Step-by-step explanation:
Given that,
The area of triangle LMN = 36 inch²
The height of the triangle, h = 8 inches
We need to find the base of the triangle. The formula for the area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\b=\dfrac{2A}{h}\\\\b=\dfrac{2\times 36}{8}\\\\b=9\ inches[/tex]
So, the base of the triangle is equal to 9 inches.
I need help on the second problem!!!
Help me please im stuck
Answer:
28.26
Step-by-step explanation:
A=3.14 r^2
3.14x3x3
3.14x9
28.26
Hope this helps! :)
(Please don't hate on me if its wrong)
A chocolate company makes dark chocolate bars. The quality control department of the company has found that the weights of the chocolate bars follow a normal distribution, with a mean of 85 grams and standard deviation of 1.2 grams. To ensure a consistent product, the company has a policy to reject any chocolate bars weighing less than 82.6 grams or more than 87.4 grams. Approximately what percent of chocolate bars are rejected?
a. 0.12%
b. 0.15%
c. 0.30%
d. 2.50%
e. 5.00%
Need help. Find the value of x
Answer:
Step-by-step explanation:
14
A______is a data point that lies away from most of the other data points.
-cluster
-outlier
-trend line
-variable
circle P is representing by the equation (x - 2)^2 + (y + 2)^2 = 9.
plot point P on the given coordinate plane.
Answer:
Solution given.(x - 2)^2 + (y + 2)^2 = 9.
comparing above equation with (x-h)²+(y-k)²=r²
we get
centre(x,y)=(2,-2)
radius [r]=3units
can someone help with this (please) :D
Answer:
i think the answer to this question is 2.461
Step-by-step explanation:
For a semicircle, the total perimeter includes half of the circumference + the diameter.
The half circumference is given by 2 pi r / 2
So the perimeter of 19.02 = 2pi r/ 2 + 2r
Find the approximate perimeter of the trapezoid? PLSSS HELPPP
Answer:
49
Step-by-step explanation:
side 1 = |18-3|= 15
side 2 = |12-3| = 9
side 3 = |16-4| = 12
side 4: [tex]\sqrt{(18-12)^2 + (4-16)^2} \\ \sqrt{36+144} \\ = \sqrt{180} \\ = 13,4[/tex]
perimeter = 15 + 9 + 12 + 13,4= 49,4 = 49
Are the expressions equivalent? Select all that apply.
A:3n + 2 - 4n and 2 - n
B:5(3x + 2) and 15x + 10
C:2(r×r×r) and 6r
D:-8(2z – 3) and -16z - 3