Answer:
1. Josie needs 21 litres of fruit juice need 28 litres of lemonade.
2. Josie can make an extra of 35 litres of punch.
3. 5:8
Step-by-step explanation:
a) The ratio of the fruit juice to lemonade = 3:4
Total litres of punch to be made = 49
Amount of fruit juice needed = [tex]\frac{3}{7}[/tex] x 49
= 21 litres
Amount of lemonade needed = [tex]\frac{4}{7}[/tex] x 49
= 28 litres
Thus, she would need 21 litres of fruit juice need 28 litres of lemonade.
b) She has 15 litres of fruit juice left. Let the litres of punch to be made be represented by s.
[tex]\frac{3}{7}[/tex] x s = 15
s = 35
Josie can make an extra of 35 litres of punch.
c) For the second batch, she needs;
15 litres of fruit juice needs 20 litres of lemonade.
But adding 4 more litres to the lemonade makes the total litres of lemonade to be 24.
Thus the ratio of the juice to lemonade = 15:24
= 5:8
what is x and y. help plz!!!!!!!
Answer:
x = 11
y = 1
Step-by-step explanation:
N : M
8 : 1
8 N = 1 M
since there is 1 M per every 8 N, y would be 1
to find x, just take 88 and divide it by 8 to get 11
Maggie uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
2.76 pints
Step-by-step explanation:
Given that:
Tottal amount of paint used = 6.9 pints
The faction of white paint used = 3/5
Hence, Amount of white Paint used :
3/5 * 6.9 = (3 * 6.9) / 5 = 4.14 pints of white paint.
Pints of blue paints used :
Total pints - pints of white used
6.9 - 4.14 = 2.76 pints of blue paint
Round 15.92453786 to the nearest thousandths
Answer:
15.925
Step-by-step explanation:
HEEEEEELP MEEEEEEEEEEEE
A rational function g is given below. Find all values of a for which g(a)=16. g(x)=(4)/(x+1)+(20)/(x^(2)+2x+1)
Answer:
a = 2/3
Step-by-step explanation:
(4(x+1) + 20 )/(x+1) = 16
4x + 4 + 20 = 16x + 16
12x = 8
x = 2/3
Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. Circle O is shown. Line segments B O, A O and C O are radii with length 8 centimeters. The length of arc B A is 8.4 centimeters. Angle A O C is 45 degrees. Rounded to the nearest whole degree, what is the measure of angle BOA? ° Rounded to the nearest tenth of a centimeter, what is the length of arc BAC? cm
Answer:
i) 60°
ii) 14.7 cm
Step-by-step explanation:
length of Arc BA = 8.4 cm
length of radius = 8 cm
angle AOC = 45°
BO = AO = CO = 8 cm
i) What is the measure of Angle BOA
= length of Arc BA / Radius
= 8.4 / 8 = 1.05 radians = 60.16° ≈ 60°
ii) what is the length of arc BAC
= radius * angle BAC * [tex]\pi /180[/tex]
angle BAC = angle AOC + angle BOA
= 45° + 60° = 105°
hence length of arc BAC
= 8 * 105 * [tex]\pi /180[/tex]
≈ 14.7 cm
Answer:
Rounded to the nearest whole degree, what is the measure of angle BOA?
60
°
Rounded to the nearest tenth of a centimeter, what is the length of arc BAC?
14.7
Step-by-step explanation:
edge 2021
1. A rectangular picture 6cm by 8cm is enclosed by a frame 1/2cm wide. Calculate the area of the frame. A.15sq cm B. 20 sq cm C. 13 sq cm D. 16 sq cm E. 17
Answer:
The area of 1/2 cm wide frame = 48 - 35 = 13 cm²
Step-by-step explanation:
Length of rectangular picture frame = 6 cm
Width of rectangular picture frame = 8 cm
Area of rectangular picture frame = 6×8 cm² = 48 cm²
Length, excluding 1/2 cm wide frame of rectangular picture = (6–1/2-1/2) = 5 cm
Width, excluding 1/2 cm wide frame of rectangular picture = (8–1/2-1/2) = 7 cm
Area, excluding 1/2 cm wide frame of rectangular picture = 5×7 cm² = 35 cm²
Area of 1/2 cm wide frame = 48 - 35 = 13 cm²
Therefore, the area of 1/2 cm wide frame = 48 - 35 = 13 cm²
Catherine put $5500 into a savings account that earns 4% compound
interest monthly. After six months, how much money will she have total?
need help, tyyyyyyyy
Answer:
$30
Step-by-step explanation:
s = shorts
t = tshirts
s + 2t = 60
s + 3t = 75
s + 2t = 60
rewrite
-2t -2t
s = 60 - 2t
s + 3t = 75
plug in
(60 - 2t) + 3t = 75
solve
60 - 2t + 3t = 75
60 + t = 75
-60 -60
t = 15
s + 2t = 60
plug in
s + 2(15) = 60
s + 30 = 60
-30 -30
s = 30
what kind of angel is it?
Answer:
90°> =Acute
90°< =Obtuse
(90°= )= Right
how to factor a polynomial in the form p^2-m^2
HELP!!
Answer: if you are going to put it like p^2-m^2 no one going to have that answer so I need the p and the m like for example the p=5 and the m=4
Step-by-step explanation: so it going to be like
Evaluate for m=4,p=5
5^2−4^2
=9
So I can’t answer how you put it
Area of shape please help
Answer:
i think its 230cm but i could be wrong let me know
Step-by-step explanation:
Writing You want to buy a pet iguana that costs $50. You already have $16 and you plan to save $7
per week. If w represents the number of weeks until you have enough money to buy the iguana, what
equation could you use to find the value of w? Use pencil and paper. Explain how you could set up an
equation to find the amount of money you should save each week if you want to buy the iguana in
three weeks.
Answer:
50 = 16 + 7w
amount to save each week for 3 weeks = $11.33
Step-by-step explanation:
Cost of pet iguana = $50
Amount you have = $16
Savings per week = $7
Number of weeks = w
Equation:
50 = 16 + 7w
To find w
50 - 16 = 7w
34 = 7w
w = 34/7
w = 4.86
Approximately w = 5 weeks to the nearest whole week
if you want to buy the iguana in
three weeks
Let x = amount to save each week for 3 weeks
50 = 16 + 3x
50 - 16 = 3x
34 = 3x
x = 34/3
x = 11.33
amount to save each week for 3 weeks = $11.33
1) d=rt
d = distance traveled by a moving object
r = rate of speed
time the object travels
t = time the object travels
Your first stop is in Bend, which is 122 miles away. How
fast do you need to travel in order to make it there in 3
hours?
Answer:
41 mph
Step-by-step explanation:
122 = 3r
r = 40 2/3 mph
If f(x)=2x−3 and g(x)=4x+5, what is (f⋅g)(x)?
A)(f⋅g)(x)=8x−15
B)(f⋅g)(x)=6x+2
C)(f⋅g)(x)=8x2+22x−15
D)(f⋅g)(x)=8x2−2x−15
9514 1404 393
Answer:
D) (f⋅g)(x)=8x2−2x−15
Step-by-step explanation:
(f·g)(x) = f(x)·g(x) = (2x -3)(4x +5) = 2x(4x +5) -3(4x +5)
= 8x² +10x -12x -15
(f·g)(x) = 8x² -2x -15
The original perimeter of a rectangle is 30cm, if we enlarge it by a scale factor of 4
what is the new perimeter?
120
1920
480
Quotient of a number and 3 increased by -7 Equals negative 144
Answer:
x = -411
Step-by-step explanation:
Number = x
Quotient of a number and 3 : [tex]\frac{x}{3}[/tex]
(x/3) increased by (-7) : [tex]\frac{x}{3}+ (-7)[/tex]
[tex]\frac{x}{3} -7 = - 144\\\\\frac{x}{3}= -144 + 7\\\\\frac{x}{3}= -137\\\\x = -137*3[/tex]
x = - 411
Answer:
-411
Step-by-step explanation:
x / 3 + -7 = -144
x / 3 = -144 + 7
x = -137 x 3
x = -411
Hope that helps!
HELP ASAP.!!!!!!! Jahlil is saving money at a constant rate to buy a new TV. After saving for $3$ months, Jahlil has $\$330$ . After saving for $5$ months, Jahlil has $\$510$ . Construct a function that models the relationship between the amount of money Jahlil has saved and the number of months he has saved for. Show or explain how you constructed the function. Respond in the space provided.
Answer:
y=90x+60
Step-by-step explanation:
x=months
y=dollars
Find dollars/month by finding the slope.
(3, 330), (5, 510)
-> (510-330)/(5-3) -> 90
Since its a constant rate, the function will be in the form, y=mx+b, and since we found the slope we can plug m=90.
y=90x+b
To find be, we simply substitute one of the points.
330=90(3)+b
b=60
Thus, plugging it in,
y=90x+60
i need help please i really don’t get it
Answer: no se ve bien
Step-by-step explanation:
mucha ilumnacion
Rondel Wilson borrowed $2,000 to replace the furnace in his house. The promissory note he signed was for 3 months at 15.25% interest. Rondel had _______ interest and ______ total amount due.
Answer:
Barack Obama
Step-by-step explanation:
Barack Hussein Obama II is an American politician and attorney who served as the 44th president of the United States from 2009 to 2017. A member of the Democratic Party, Obama was the first African-American president of the United States. He previously served as a U.S. senator from Illinois from 2005 to 2008 and as an Illinois state senator from 1997 to 2004.
Need help Now
-10(-9x + 6=
What's the answer? not very good at math
Answer:90x+60
Step-by-step explanation:
Answer:
90x - 60
Step-by-step explanation:
-10(-9x + 6)
=90x - 60
(I also looked it up)
Explain the difference in meaning between 8^2 +2^2 and (8 + 2)^2?
8^2 +2^2 is 68 because you only square the integer. In (8 + 2)^2, you square the product of the equation.
Answer:8^2+2^2=68 and (8 + 2)^2=100
Step-by-step explanation:
8^2+2^2
=64+2^2
=64+4
=68
(8+2)^2
=10^2
=100
jennifer is a wedding planner. She set up five chairs at each table for the reception. If( t )represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 5 + t
B. t + 5
C. 5t
D. t - 5
Answer:
C. : 5t
--
Once we find out the number of tables at the reception, we can then multiply the number of tables to 5t.
The measure of an angle is 178.2°. What is the measure of its supplementary angle?
heelllllllllllllppppp :(((((
Step-by-step explanation:
20/3 6 teams at least
hope it helps
if I am wrong report me
Write the slope-intercept form of the linear equation of a line with slope of -3/4 and a y intercept of (3,0)
Answer:
y= -3/4 +3
Step-by-step explanation:
slope-intercept form formula is y=mx+b
mx= slope
b= y-intercept
Therefore, if you input the numbers into the equation it is
y=-3/4 +3
it is 3 because this point is located at 3 on the y-axis
Milan raises dairy cow he has 165cows.Each cow produced2 gallons of milk every day.How many gallons did the cows produce per day,show solution using grid method
Answer:
Cows produce milk per day = 330 gallons
Step-by-step explanation:
Given - Milan raises dairy cow he has 165 cows. Each cow produced
2 gallons of milk every day.
To find - How many gallons did the cows produce per day ?
Show solution using grid method.
Proof -
Given that,
Total cows Milan raises = 165
Now,
Given,
1 cow produce milk = 2 gallon
⇒ 165 cows produce milk = 165 × 2 gallons
Now,
By using grid method , we have
165 × 2
X 100 60 5
2 200 120 10
⇒ 165 × 2 = 200 + 120 + 10 = 330 gallons
∴ we get
Cows produce milk per day = 330 gallons
$400 interest is earned on a principal of $2,000 at a simple interest rate of 5% interest per year. For how many years was the principal invested?
Answer:
4 years
Step-by-step explanation:
Given data
Simple interest= $400
Principal= $2000
Rate= 5%
The simple interest formula is given as
SI=PRT/100
substitute and solve for T
400=2000*5*T/100
cross multiply
400*100= 10000*T
40000=10000T
T= 40000/10000
T= 4 years
Hence the time taken is 4 years
Can someone please check my answer???
Answer:
your answer will be option B
Step-by-step explanation:
hope it helps ^_^
ANSWER THIS ASAP I ONLY HAVE 12 MINUTES!!! What inequality is represented by this graph?
Answer: B, is the answer
Step-by-step explanation:
The way that the line goes from 6 is represented by the equation
Answer:
x less than 6
Step-by-step explanation:
the line is going down from six and six isnt filled in so it couldnt be equal to 6