Answer:
The pints of each of the two existing types of drinks are 22 and 88 respectively.
Step-by-step explanation:
We are given that the Royal Fruit Company produces two types of fruit drinks. The first type is 70% pure fruit juice, and the second type is 95% pure fruit juice. The company is attempting to produce a fruit drink that contains 90% pure fruit juice.
Let the first type of fruit drink pints in the mixture be 'x' and the second type of fruit drink pints in the mixture be 'y'.
So, according to the question;
The first condition states that we have to make 110 pints of a mixture of two types that is pure fruit juice, that means;x + y = 110
x = 110 - y ---------------- [equation 1]
The second condition states that the first type is 70% pure fruit juice, and the second type is 95% pure fruit juice, that means;[tex]0.70x+0.95y=0.90\times 110[/tex]
[tex]70x+95y=9900[/tex]
[tex]70(110-y)+95y=9900[/tex]
[tex]7700-70y+95y=9900[/tex]
[tex]25y=9900-7700[/tex]
[tex]y=\frac{2200}{25}[/tex]
y = 88
Now, putting the value of y in equation 1 we get;
x = 110 - y
x = 110 - 88 = 22
Hence, the pints of each of the two existing types of drinks are 22 and 88 respectively.
Find the value of 5 times 2^3
Answer:
40
Step-by-step explanation:
5 times 2^3=
5 times 8=
40
Solve the radical equation the square root of 8x+9=x+2, how would you start it?
Answer: I will start it by squaring both sides of the equation.
The solution is x = 5 or x=-1
Step-by-step explanation:
[tex]\sqrt{8x+9} =x+2[/tex] Square the left and right sides. The square root of 8x+9 squared is 8x+9 and the x+2 squared is x^2 + 4x +4. We will now have the new equation,
8x + 9 = [tex]x^{2}[/tex] + 4x + 4 now set them equal zero first sutract x^2 from both sides
-x^2 -x^2
-x^2 + 8x + 9 = 4x +4 subtract 4x from both sides
-4x -4x
-x^2 +4x + 9 = 4 Finally subtract 4 from both sides
-4 -4
-x^2 + 4x +5 = 0 Remember the largest degree has a negative coefficient so divide them all by -1.
x^2 - 4x -5 = 0 Now find two numbers that their product is -5 and their sum is -4. the numbers 1 and -5 works out.
Now rewrite the whole equation as,
x^2+ 1x -5x -5=0 Factor by grouping on the left side
x(x+1) -5(x+1)= 0 Factor out x+1
(x+1)(x-5) = 0 Now apply the zero product
x+1 = 0 or x-5 = 0
-1 -1 +5 +5
x = -1 or x = 5
Evaluate 6^2 ÷ (3 + 9).
Answer:
the answer is three.
Step-by-step explanation:
first, simplify the exponent, which would be 36, then solve the 3+9, which is 12, then that leaves you with 36/12, and 12 goes into 36 3 times, so three is your answer
Answer:
The answer is 3
Step-by-step explanation:
To evaluate, we must do the order of operations. PEMDAS:
P=Parenthesis
E=Exponents and Radicals
M=Multiply
D=Divide
A=Add
S=Subtract
Because 6^2 ÷ (3 + 9), we must do the parenthesis which is add then simplify the exponent and lastly divide. So the equation will be:
6^2 ÷ (3 + 9)
= 6^2 ÷ 12
= 36 ÷ 12
= 3
I hope this helps! I'm sorry if it's wrong or complicated.
4b+9b simplified version
Answer:
13b
Step-by-step explanation:
Add 4b and 9b together because they are like terms,
so 4b + 9b = 13b
Answer:
13b
Step-by-step explanation:
4b+9b
Combine like terms
13b
At a certain hospital, the probability of a child being born female is 0.51. If 80 babies are born on the a certain day, the probability that more than half of these babies are female is closest to? a. 0.61, b. 0.70, c. 0.39, d. 0.47, 0.53 (I will award you the brainiest)
Answer :
0.53
Step-by-step explanation:
Given the following :
Probability of female = probability of success on a single trial = 0.51
Number of babies = 80
Probability that more than half of the babies are female : p(X >80/2) = P(X > 40)
The problem can be solved using the binomial probability function :
P(X > 40) = [ p(X= 41) + p(X= 42) +.... +p(X= 80)]
In other to save computation time, we can use the binomial probability calculator
Hence ; P(X > 40) = 0.527 = 0.53
Triangle has a leg that Triangle has a leg that measures 20 units and a hyptenuse that measures 25 units what is the length of the third side
Answer:
15Step-by-step explanation:
Hypotenuse = 25
Opposite=20
Adjacent =?
Use Pythagoras Theorem :
[tex] {hypotenuse}^{2} = {opposite}^{2} + {adjacent}^{2} [/tex]
Input values
[tex] {25}^{2} = {20}^{2} + {x}^{2} \\ 625 = 400 + {x}^{2} \\ 625 - 400 = {x}^{2} \\ 225 = {x}^{2} [/tex]
Square root both sides
[tex] \sqrt{225} = \sqrt{ {x}^{2} } \\ 15 = x \\ x = 15[/tex]
PLEASE HELP FAST
Which of the following is a quadratic equation written in standard form?
5x−15=0
7x2−15=32x
8x2−10x=0
6x2=14−17x
Answer:
8x^2 - 10x = 0
Step-by-step explanation:
Standard format of a quadratic equation :
ax^2 + bx + c = 0
Find major of 1 in the diagram.
Answer:
85° (C).
Step-by-step explanation:
35° should go over to the other side of the line:
180 - 35 = 145°
Find angle 1:
145 + 130 + angle 1 = 360°
360° = 275° + angle 1
angle 1 = 360 - 275
angle 1 = 85°
85° which is C is the answer.
Answer:
Your correct answer is option C. 85 degrees.
Step-by-step explanation:
35 degrees goes over to the other side of the line:
180 - 35 = 145°
All you need to do is find angle 1.
145 + 130 + angle 1 = 360 degrees
360 degrees = 275 degrees + angle 1
angle 1 = 360 - 275
angle 1 = 85 degrees.
Therefore, option C. is the correct answer.
Fiona is going to jog once around the block she lives on. The block is rectangular, and it is yards long and feet wide. How far will Fiona jog (in feet)?
Fiona is going to jog once around the block she lives on. The block is rectangular, and it is 180 yards long and 200 feet wide. How far will Fiona jog (in feet)?
Answer:
Fiona will jog 1480 feet once around the block she lives on.
Step-by-step explanation:
From the information given:
Length of the rectangular block = 180 yards
Breadth of the rectangular block = 200 feet
The block have a rectangular shape and we are to determine how far will Fiona jog (in feet).
Converting yards to feet
1 yard = 3 feet
∴
180 yards = (180 × 3) feet
= 540 feet
Calculating the perimeter of the rectangle will determine how far Fiona will jog.
Perimeter of a rectangular block = 2 (length + breadth)
Perimeter of a rectangular block = 2(540 + 200) feet
Perimeter of a rectangular block = 2(740) feet
Perimeter of a rectangular block = 1480 feet
∴
Fiona will jog 1480 feet once around the block she lives on.
The length of a rectangle is 6 inches more than the width. The perimeter of the rectangle can
be no more than 48 inches. What is the maximum length?
Answer:
15 inches
Step-by-step explanation:
Hello!
To find the perimeter of a rectangle we have to add all the sides
l + l + w + w = p
We know the length is 6 inches more than the width
l = w + 6
We can put w + 6 for l
w + 6 + w + 6 + w + w = p
We can simplify this
4w + 12 = p
The perimeter is no more than 48
4w + 12 = 48
Subtract 12 from both sides
4w = 36
Divide both sides by 4
w = 9
Now we can put 9 in for w in the equation to find the length
l = 9 + 6
l = 15
The answer is 15 inches
Hope this helps!
10 points :) Thanks sm! (attached below)
Answer:
Average : 10,724.2857 miles
Step-by-step explanation:
To determine the mean we can simple find the average, adding all the miles the car has traveled, over the number of days. See working below -
[tex]\frac{10150+10211+10424+10769+10884+11155+11477}{7}[/tex]
Adding the numerator values : [tex]10150+10211+10424+10769+10884+11155+11477=75070[/tex]
[tex]\frac{75070}{7} = 10724.28571\dots[/tex]
Ling traveled an average of about 10,724.2857 miles.
Find the total surface area. A. 2,016 km² B. 6,156 km² C. 1,368 km² D. 165 km²
Answer:
[tex]\boxed{A. 2,016 km^2}[/tex]
Step-by-step explanation:
Hey there!
TSA is calculated using,
TSA = 2wl + 2lh + 2hw
Plug in the given info.
w = 18
l = 18
h = 19
TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)
TSA = 648 + 684 + 684
TSA = 2,016km²
Hope this helps :)
The total surface area of the cuboid is km². Therefore, option A is the correct answer.
The given dimensions are length=19 km, width=18 km and height=18 km.
We need to find the total surface area of the given cuboid.
What is the formula to find the total surface area?Total surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, TSA=2lw+2lh+2hw, to find the surface area.
Now, TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)
TSA = 648 + 684 + 684=2016 km²
The total surface area of the cuboid is km². Therefore, option A is the correct answer.
To learn more about the total surface area of the cuboid visit:
https://brainly.com/question/27537575.
#SPJ5
5x when x=7 ......... NEED HELP
Answer:
35
Step-by-step explanation:
5 x 7 = 35
Answer:
35
Step-by-step explanation:
The equation is 5x. When the value of x is 7, you multiply 5*x or 5*7. This gives you 35.
*PLEASE ANSWER, DIFFICULT QUESTION* What is the volume of this beach ball if its width is 24 inches? (Use 3.14)
Answer:
7234.56 in³
Step-by-step explanation:
4/3πr³
4/3 (3.14)(12)³
7234.56 in³
Answer:
7,234.56 cm^2
Step-by-step explanation:
We want to find the volume of the beach ball. The beach ball is in the shape of a sphere. The formula for the volume of a sphere is :
[tex]V=\frac{4}{3} \pi r^3[/tex]
We know the width, or diameter of the sphere is 24 cm. We need to find the radius. The radius is half the diameter.
r= d/2
r= 24 cm/2
r= 12 cm
The radius is 12 cm, and we can substitute it into the formula.
[tex]V=\frac{4}{3} \pi (12 cm) ^3[/tex]
First, evaluate the exponent.
(12 cm)³= 12 cm * 12cm * 12 cm= 144 cm² * 12 cm = 1728 cm³
[tex]V=\frac{4}{3} \pi * 1728 cm^3[/tex]
Substitute 3.14 in for pi.
[tex]V=\frac{4}{3} * 3.14 * 1728 cm^3[/tex]
Multiply all three numbers together.
[tex]V= 4.18666666 * 1728 cm^3[/tex]
[tex]V= 7234.55999 cm^3[/tex]
Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 5 to a 6 in the hundredth place.
[tex]V= 7234.56 cm^3[/tex]
The volume of the beach ball is 7,234.56 cubic centimeters and choice 3 is correct.
I need help Pls help with both
Answer:
the first one is 84
Step-by-step explanation:
subtract 145-61 then you get 84for the missing angle.
Answer:
1. 84, 2. 7.31
Step-by-step explanation:
1. 145-61=84
2. 16x+4-3x+11=110
13x+15=110
13x=95
x=7.31
PLEASE HELP! Create a table of points from the equation f(x)=3x^2-8x+2. (I'll add a picture of the tables)
===============================================
Explanation:
If we replace x with 0, then we get...
f(x) = 3x^2-8x+2
f(0) = 3(0)^2 - 8(0) + 2
f(0) = 3(0) - 8(0) + 2
f(0) = 0 - 0 + 2
f(0) = 2
Showing that the input x = 0 leads to the output y = f(x) = 2
The answer is between choice A and choice D because of this. Something like choice B is eliminated because this table shows x = 0 leading to y = -3 which is not correct.
-----------
Let's plug in x = 1
f(x) = 3x^2-8x+2
f(1) = 3(1)^2 - 8(1) + 2
f(1) = 3(1) - 8(1) + 2
f(1) = 3 - 8 + 2
f(1) = -5 + 2
f(1) = -3
So x = 1 leads to y = -3. We can rule out choice D and confirm it is choice A.
We don't need to try other x values since we have the answer, but I recommend practicing with other x values to help confirm that the first table is the answer.
how is 0.004 the same and different from 0.444
Answer:
Step-by-step explanation:
0.004 and 0.444
both have 4 in the thousandth place, both are in thousandth place
different: 0.444 is greater than 0.004
when divide by 1000:
444/1000 is greater than 4/1000
if convert to percentage :
0.444 is 44.4%
0.004 is 0.4%
Using the image as a reference, what is the csc of angle 90 - x?
Answer:
Option (F)
Step-by-step explanation:
From the figure attached,
ΔABC is a right triangle.
m∠A + m∠B + m∠C = 180°
m∠A + 90° + x° = 180°
m∠A = 180 - (90 + x)
= (90 - x)°
By applying cosec rule in this triangle,
csc(A) = [tex]\frac{\text{Hypotenuse}}{\text{Opposite side}}[/tex]
csc(90 - x) = [tex]\frac{\text{AC}}{\text{BC}}[/tex]
= [tex]\frac{5}{3}[/tex]
= 1.67
Therefore, Option (F) will be the correct option.
4. Fatore as expressões. a) 4x4y2 –6x3y3 +8x2y4 = b) 18ab3c² +27a3b4c3 -9a2b5c4 -45a2b3c2 = c) a2+3ab-2ac-6bc= d) x3–3x2y2 +6y3 – 2xy = e) x2 +z+x3y+xyz=zx2 -z2 = f) a4b6-9c2 = g) 9a4-b4 = h) 25x6 + 10x3y+y2 = i) 49x4 +14x2 +1= j) 20a2b2 – 2a4 – 50b4 =
Answer:
don't ask many questions at 1time
2(M+7)+5m-6
Umm I need help
Answer:
7m+8
Step-by-step explanation:
distributive prop then pemdas
help -8(9n-10) -20 a. 90n+54 b. -72n+60 c. -17n – 80 d. -160n
Answer:
1) -8(9n-10) - 20
-72n + 80 - 20
-7n + 60
Can't factor
2) 90n+54
18(5n+3)
3) -72n+60
-12(6n-5)
4) -17n - 80
Can't factor
5) -160n
Can't factor
Answer:
B. -72n+60
Step-by-step explanation:
We are given the expression:
-8 (9n-10) -20
We want to simplify the expression. First, distribute the -8.
Multiply each term inside the parentheses by -8.
(-8 * 9n) + (-8*-10) -20
-72n + (-8 * -10) -20
-72n + 80 -20
Next, combine like terms. Currently, we have two constants (terms without variables) that can be combined.
Subtract 20 from 80.
-72n + (80-20)
-72n + 60
The expression: -8(9n-10)-20, simplified is -72n+60. Therefore, the correct answer is B. -72n+60
9) The area of a rectangle is given by the trinomial x? - 2x - 35. What are
the possible dimensions of the rectangle? Hint: Find the length and the
width by factoring the area.
Answer:
Step-by-step explanation:
x² - 2x - 35
(x - 7)(x + 5)
x - 7 = 0 ; x + 5 = -5
x = 7, -5
i can’t find the slope
Answer:
slope = for every +3x there is a gain of +6y. so slope is 2.
Step-by-step explanation:
1. James ran 3 kilometers after school. How many meters did james run? 2. Find the volume of the cube 3 1/2
Answer:
3000m
42.875 m/cm/mm/km/in/miles³ etc. (don't know what measurement you need).
Step-by-step explanation:
1 km = 1000m
Volume of a cube is V=a³ thus 3.5³ = 42.875³
Please answer this! I need help ASAP
Answer:
<MON = 57°
Step-by-step explanation:
they are complementary angles so they add up to 90°
3x - 15 + 5x - 23 = 90
8x - 38 = 90
8x = 128
x = 16
5(16) - 23 = 57
anna is biking at x miles per hour. sara bikes at 10 mi/h. which expression represents the average of anna’s and sara’s speeds?
Step-by-step explanation:
It is given that,
Speed of Anna is x miles/hour
Speed of Sara is 10 mi/h
We need to find an expression that represents the average of Anna's and Sara's speeds. Average of two objects is given by :
[tex]v=\dfrac{v_1+v_2}{2}[/tex]
ATQ,
[tex]v=\dfrac{x+10}{2}[/tex]
The above expression represents the average speed of Anna and Sara.
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions Online Content: Site 1 What are some considerations you need to make before choosing a career?
Answer:
some considerations before choosing which career or path you will take career wise for the future is what you enjoy doing. what is also very important is understanding how many classes of college or university is required if you are up to the challenge and how many years it'll take before starting that career.
How do you do this problem? See attached image
Of the 30 girls who tried out for the basketball team at Prescott Junior High, 12 were selected. Of the 40 boys who tried out, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls? How do you know?
Answer: Yes. They are thesame
Step-by-step explanation:
Of the 30 girls who tried out for the basketball team at Prescott Junior High, 12 were selected. In this scenario the ratio will be:
= 12/30
= 2/5
= 2:5
Of the 40 boys who tried out, 16 were selected. In this scenario, the ratio will be:
= 16/40
= 2/5
= 2:5
The ratio for both are thesame as we got 2:5 for both.
easy 10 points and brainliest :)
Answer:
Quadrant IV
Step-by-step explanation:
If x > 0 the we are in quadrants 1 or 4
If Y < 0 we are in quadrants 3 or 4
Since both are true, we are in quadrant 4
Quadrant 2
x axis is left to right
y axis is up and down