In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.
Answer:
15/20 : 2/20 : 3/20 or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher
Step-by-step explanation:
We know that there are 3 ingredients.
3/4 apple juice
1/10 orange juice
We want to know how much cranberry juice to apple juice to orange juice.
First, let's start with getting common denominators.
The LCD (least common denominator) between these two fractions is 40. (4 * 10)
So:
3/4 * 10/10 = 30/40
1/10 * 4/4 = 4/40
Now we know them with equal denominators. Now let's subtract them from the whole (40/40) to find out how much cranberry juice.
40/40 - 30/40 - 4/40 = 6/40
Cranberry juice = 6/40 of the whole.
Now we can find the ratio in its simplest form.
30/40 : 4/40 : 6/40
Can we simplify these fractions? yes.
The can all be simplified by 2
15/20 : 2/20 : 3/20
Since 2 can't be simplified by anything but 2 or 1, and 15 and 3 cannot be simplified by 2, this is your answer.
or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher.
Find at least five solutions to graph the linear equation 0x -
3y = 15
Answer:
Any points across y=5. ex: (-2,5) (0,5) (1,5), (3,5) (4,5)
Step-By-Step Solution
(3y=15)/3 divide all by 3
and get y=5
any 5 points that gave y=5 will work
Find the domain for the expression:
y/y-5 + 1/y+8
Answer:
1/y+4
Step-by-step explanation:
1-5+1/y+8
1/y+(1-5+8)
1/y+4
[tex] \frac{y}{y} - 5 + \frac{1}{y} + 8 [/tex]
→[tex](1 - 5) + \frac{1}{y} + 8[/tex]
→[tex]-4 = \frac{ - 4}{1} = \frac{ - 4 \: • \: y}{y} [/tex]
→[tex] \frac{ - 4 \: • \: y + 1}{y} = \frac{1 - 4y}{y} [/tex]
→[tex] \frac{(1 - 4y)}{y} + 8[/tex]
→[tex]8 = \frac{8}{1} = \frac{8 \: • \: y}{y} [/tex]
→[tex] \frac{(1 - 4y) + 8 \: • \: y}{y} = \frac{4y + 1}{y} [/tex]
→[tex] \frac{4y + 1}{y} [/tex]
In order to join the football club, you have to pay a 120 Dirhams joining fee and pay 200
Dirhams every week. Write this relation in a slope intercept form.
Answer:
y = 200x + 120Step-by-step explanation:
One off fee is 120 Dirhams and weekly charge is 200 Dirhams.
The equation for this relation is:
y = 200x + 120, where x- the number of weeksWhich is the equation of the following line.
Answer:
D
Step-by-step explanation:
D
0 is the y intercept and -4 is the slope.
Answer:
D. y = -4x
Step-by-step explanation:
First, find the slope:
m = (-8 - 0) / (2 - 0)
[tex]m = -\frac{8}{2}[/tex]
Use slope-intercept form:
[tex]y = -\frac{8}{2}x[/tex]
[tex]y = -4x[/tex]
What is the value of the rational expression 2x2+ 5x +9/x2+2x -1?
A.)-7
B.)-9
C.)9
D.)7
(Help Please.)
Answer:
hai
Step-by-step explanation:
help me to the this question
Across
1 compass
2 shape
4 two pi to one
6 Pie x radius squared
8. arc
10 Point
11 radius
12 circumference
down
1 Chord
4major arc
5 Radii
7 degrees
9.circle
13 equidistant
hope this helps
bra9inly pls help me on this question
Step-by-step explanation:
area of the trapezoid = area of the 2 triangles +
area of the rectangle
i) area of triangle on left:
a = ½ bh
a = ½ × 2 × 9
a = 9 in²
ii) area of triangle on right:
a = ½ bh
a = ½ × 2 × 9
a = 9 in²
iii) area of rectangle = length × width
a = l × w
a = 12 × 9
a = 108 in²
iv) area of trapezoid = 9 + 9 + 108
= 126 in²
hope this helps you!
-s.
What is the value of the rational expression 6-x/ x+5 when x= 2
A.)4/7
B.)4/5
C.)8/7
D.)8/5
(Please do hurry.)
Answer:
A
Step-by-step explanation:
(6-2)/(5+2)
4/7
Answer:
4/7 6 -2/2+5 = 4/7
simple
Please help me I’ll give 20 points :)
Answer:
B
Step-by-step explanation:
because when simplified we get b
Answer:
1. AStep-by-step explanation:
1.[tex] {x}^{2} - 4x - 12 \\ {x}^{2} + 2x - 6x - 12 \\ x(x + 2) - 6(x + 2) \\ (x - 6)(x + 2) \\ [/tex]
HELP ME ASAP for 37 points!! which expression is equivalent to 14.5d+8.5-1/2d+1/2+2.5d
first one 16.5d+8
second one 16.5d+9
third one 17.5d+8
fourth one 17.5d+9
Equivalent expressions are expressions with equal values
The equivalent expression is 16.5d+9
How to determine the equivalent expressionThe expression is given as:
14.5d+8.5-1/2d+1/2+2.5d
Express the fractions as decimals
14.5d+8.5-0.5d+0.5+2.5d
Collect like terms
14.5d-0.5d+2.5d+8.5+0.5
Evaluate the like terms
16.5d+9
Hence, the equivalent expression is 16.5d+9
Read more about equivalent expressions at:
https://brainly.com/question/2972832
Answer:16.5d+9
Step-by-step explanation:
tanya is 1.6m tall and sid is 2m tall find the ratio of tanya height to sid’s height
Answer:
4 : 5
Step-by-step explanation:
tanya : sid = 1.6 : 2 ( divide both parts by 0.4 )
= 4 : 5
Kyle types college reports for $1.70 per page. He also charges $6 to cover the cost of supplies. How many pages did he write if he charged $40.00? Write and solve an equation.
Answer:
$1.70p + $6 = $40.00
Step-by-step explanation:
$1.70p + $6 - $6 = $40.00 - $6
$1.70p = $34.00
$1.70p ÷ 1.70 = $34.00 ÷ 1.70
p = 20
He wrote 20 pages.
What is an equation of the line that passes through the points (-5, 1) and (5,5)
Answer:
Equation: y = 0.4x + 3.
Step-by-step explanation:
picture
Find x to the nearest tenth.
8
6
X
Answer:
x ≈ 5.3
Step-by-step explanation:
a²+b²=c²
c is always the hypotenuse in a right angle triangle.
6² + x² = 8²
36 + x² = 64
64 - 36 = 28
x² = 28
x = √28
Use calculator from here.
√28 = 5.29150262213
5.29150262213 ≈ 5.3
Because the number after 2, which is 9, is greater than 5, the nearest tenth is 5.3, not 5.2.
Two different businesses model their profits over 15 years, where x is the year, f(x) is the profits of a garden shop, and g(x) is the profits of a construction materials business. Use the data to determine which function is exponential, and use the table to justify your answer.
A. g(x) is exponential; an exponential function increases faster than a linear function.
B. g(x) is exponential; g(x) has a lower starting value and higher ending value.
C. f(x) is exponential; an exponential function increases more slowly than a linear function.
D. f(x) is exponential; f(x) increased less overall than g(x).
Answer:
the correct answer should be c
Please answer this for the love of God!! :(
Answer:
4(5x+4)
Step-by-step explanation:
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 20 are: 1, 2, 4, 5, 10, 20x
Then the greatest common factor is 4.
I need help with this question, how do I find the value of x??
Answer:
Im sure that you need to subtract so 140 minus 15 is 130
Answer: x is 20 degrees
Step-by-step explanation:
145 + 15 = 160
180 - 160 = 20
( straight line: 180 degrees )
Solve for a.
5a−12=3
Enter your answer in the box.
a =
[tex]5a - 12 = 3 \\ 5a = 3 + 12 \\ 5a = 15 \\ a = \frac{15}{5} \\ a = 3[/tex]
Answer:
[tex]a=3[/tex]
Step-by-step explanation:
Given the following question:
[tex]5a-12=3[/tex]
To solve this equation, we need to add 12 on both sides and then isolate the variable for a.
[tex]5a-12=3[/tex]
[tex]-12+12=0[/tex]
[tex]12+3=15[/tex]
[tex]5a=15[/tex]
[tex]\frac{5a}{5} =\div5[/tex]
[tex]15\div5=3[/tex]
[tex]a=3[/tex]
Hope this helps.
Can someone plss help me with these questions!!
Answer:
1 year data analysis of input and output
Show working pls
Find the area of the following composite shapes
Answer:
112 sq cm
Step-by-step explanation:
Area of the square:
A = s^2
= 8^2
=64 sq cm
Area of a triangle:
A = 1/2•b•h
= 1/2•8•12
= 48 sq cm
Area of total shape:
A_square + A_triangle
= 64 + 48
= 112 sq cm
Kindly solve the question
Answer:
in the picture
Step-by-step explanation:
in the picture
Answer:
6.4 = b and 7.8 = a
Step-by-step explanation:
Using the formula:
a^2 + b^2 = c^2
we can find the length of b
for the first triangle
now we just plug in the lengths.
5^2 + 4^2 = b^2
simplify into :
25 + 16 = b^2
add
41 = b^2
now in order to get rid of the ^2, we just find the square root of 41.
√41 ≈ 6.4
6.4 = b
Now we just need to solve for A
since we know
a^2 + b^2 = c^2 that must mean
c^2 - b^2 = a^2
so this is the formula we will be using.
now we just plug in the lengths of the second triangle into this equation.
10.5^2 - 7^2 = a^2
simplifies into
110.25 - 49 = a^2
subtract
61.25 = a^2
now we just find the square root of 61.25.
√61.25 = 7.8
7.8 = a
you can check this by putting it back in the formula
a^2 + b^2 = c^2
I will do this quickly (only for the second triangle)
we know
a = 7.8
b = 7
c = 10.5
7.8^2 + 7^2 = 10.5^2
simplifys into
60.84 + 49 = 110.25
60.84 + 49 ≈ 110
110.25 ≈ 110
110 = 110
which proves that this is correct.
how do i solve b^2-5b+3
Answer:
[tex]x {}^{2} - 5x = - 3 \\ x( x - 5) = - 3 \\ x = - 3 \\ x - 5 = - 3 \\ x = 2[/tex]
part one is the first pic the second part is the one that starts with the result.
The infield of a softball
diamond is shaped like a
square. If the distance
between bases is 60 feet,
Find the diagonal distance
From third base to First
base
1-84.9
2-11.9
3-12.5
Answer:
84.9
Step-by-step explanation:
The distance between first and third base makes the hypotonus of a triangle where the lengths of the legs are each 60 feet. To find the hypotonus, add (60)^2 + (60)^2 to get 3600 +3600 = 7200. Then square root 7200 to get the distance between first and third as 84.9
Jack read 9 books in 15 months. What was his rate of reading in months per book? Include units.
Your answer should be written in fraction form (mixed number)
Answer:
3/5 books
Step-by-step explanation:
Divide 9 by 15 to get 0.6
0.6=3/5
please help (images below)
Answer:
2) D
because:
[tex] \frac{9}{1} \times 4 \\ 9 \times 4 \\ 36 \: is \: not \: equal \: to \: 4[/tex]
4) B
because:
[tex] \frac{5}{5} \times 8 \\ 1 \times 8 \\ 8 \: is \: equal \: to \: 8[/tex]
Question 1 (5 points)
Dilate the rectangle below by a scale factor of 2. If the current side lengths are 15
and 8, what are the side lengths on the new dilated rectangle?
In your answer, give the new side lengths for the dilated image and explain how you
calculated them.
Answer:
AB and CD would be 30
AC and BD would be 16
Step-by-step explanation:
The scale factor is what you multiply the sides by. Dilate means wider or larger so you multiply each side by the scale factor of 2 to get the higher scaled rectangle.
Cone A and Cone B both have a height of 5 inches. The volume of Cone A
is 20.9 cubic inches. The volume of Cone B is 4 times the volume of Cone A.
About how many times longer is the diameter of Cone B than the diameter
of Cone A
Answer:
cone A= 20.9×5=104.5
cone B= 5×4=20
20×20.9=418
cone B -cone A = -313.5
What is the solution for the equation? 14. 8 = n minus 0. 3 n = negative 15. 1 n = negative 14. 5 n = 14. 5 n = 15. 1.
Answer:
Step-by-step explanation;
3, 4, 5), while (m, n) = (5,2) gives the ... x 2 + 29x + 210 = (x + 15)(x + 14) and x2 + 29x - 210 = (x + 35)(x - 6)
How much cubic centimeters of dirt must be removed when digging for a foundation of a building if the excavation is 32m long, 12m wide, and 8m deep
Answer:
3,072m
Step-by-step explanation:
32 × 12× 8= 3,072 (This is only you are multiplying them all)
If you are trying to find the area then its: 384m