Hey there! :)
Answer:
12 meals with rice.
Step-by-step explanation:
The ratio of meals with rice to total school lunches is 2 : 5. We can set up a proportion to calculate the total meals with rice out of 30 lunches:
[tex]\frac{2}{5} = \frac{x}{30}[/tex]
Cross multiply:
2 · 30 = 5 ·x
60 = 5x
Divide both sides by 5:
60/5 = 5x/5
x = 12 meals.
Therefore, if 30 school lunches were had, 12 would have rice.
Answer:
[tex] \frac{2}{5} \times 30 \\ \frac{2 \times 30}{5} = 12 \\ \frac{60}{5} = 12 \\ = 12[/tex]
de 1st step u Express 2 over 5 ×30=12 as a single fraction
Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t Write r as a percent. Q = 1750 (1.593) Superscript t a. a = 1750 b = 1.593 r = 0.593% c. a = 2787.75 b = 2.5376 r = 0.593% b. a = 1750 b = 1.593 r = 59.3% d. a = 2787.75 b = 1.593 r = 59.3%
Answer:
Option b.
Step-by-step explanation:
If the starting value a, the growth factor b, and the growth rate r, then
[tex]Q=ab^t=a(1+r)^t[/tex] ...(1)
It is given that
[tex]Q=1750(1.593)^t[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a=1750, b=1.593[/tex]
Now, equation (2) can be rewritten as
[tex]Q=1750(1+0.593)^t[/tex] ...(3)
On comparing (1) and (2), we get
[tex]r=0.593[/tex]
[tex]r=(0.593\times 100)\%[/tex]
[tex]r=59.3\%[/tex]
Therefore, the correct option is b.
the ratio of the surface area of two similar solids is equal to the square root of the ratios between their corresponding edge lengths. True or False
Answer:
False
Step-by-step explanation:
Just trust me on this
Answer:
The correct answer is False
Step-by-step explanation:
Write an equation of the line passing through the point (7,3) that is parallel to the line 4x-7y=9
Answer:
y = -7/4x + 61/4
Step-by-step explanation:
Step 1: Write equation in slope-intercept form
-7y = 9 - 4x
y = 4/7x - 9/7
Step 2: Find slope of perpendicular line
Take the negative reciprocal of the 1st equation
m = -7/4
Step 3: Write out known variables
y = -7/4x + b
Step 4: Find b
3 = -7/4(7) + b
3 = -49/4 + b
b = 61/4
Step 4: Rewrite equation
y = -7/4x + 61/4
What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?
a. 1, 2, 3
b. 0, 8, 16
c. 8, 5, 2
d. 11, 8, 5
Answer:
11,8,5
Step-by-step explanation:
an=11-3(n-1)
Let n=1
a1 = 11 - 3(1-1)
= 11 -0
=11
Let n=2
a2 = 11-3(2-1)
= 11 -3(1)
= 8
Let n=3
a3 = 11-3(3-1)
= 11 -3(2)
= 11 -6
=5
Answer:
The answer is 11,8,5
Step-by-step explanation:
that's the correct answer
When constructing parallel lines, how can you verify the lines constructed are parallel?t is being constructed based on the markings in the following diagram?
Answer:
You can verify if lines are parallel if they have the same slope and different y-intercepts and if they don't intersect each other. You can also graph the 2 equations to see if they ever intersect.
Step-by-step explanation:
Answer:
C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right
Step-by-step explanation:
Which function has the following characteristics? A vertical asymptote at x=-4 A horizontal asymptote at y=0 A removable discontinuity at x=1
Answer:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
Step-by-step explanation:
In the figure attached, the question is shown. The function:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
has a horizontal asymptote at y = 0 because the degree of the nominator polynomial is less than the degree of the denominator polynomial.
The roots of x² + 3x - 4 are -4 and 1
(-4)² + 3(-4) - 4 = 01² + 3(1) - 4 = 0Then, x² + 3x - 4 = (x + 4)(x - 1)
The function has a vertical asymptote at x = -4 because it is a root of the denominator polynomial.
The function can be simplified as follows:
[tex]\frac{2(x - 1)}{(x+4)(x-1)}[/tex]
[tex]\frac{2}{x+4}[/tex]
Then, it has a removable discontinuity at x = 1
Answer:
D
Step-by-step explanation:
(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)
Answer: a = 0.3
Step-by-step explanation:
First, distribute(-1)
5.3a-0.8-1.6+4.7a=2a-(a-0.3)
Then, distribute(-1)
5.3a-0.8-1.6+4.7a=2a-a+0.3
Then, combine like terms
10a-2.4=a+0.3
Then, add(2.4)
10a=a+2.7
Then, subtract(a)
9a=2.7
Then, divide(9)
a = 0.3
Hope it helps <3
Answer:
a = 0.3.
Step-by-step explanation:
(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)
5.3a − 0.8 − 1.6 + 4.7a = 2a − a + 0.3
5.3a + 4.7a - 2a + a = 0.3 + 0.8 + 1.6
9a = 2.7
a = 0.3.
Please answer this question now
Answer:
The coordinates of C are (2,2)
59. A car dealership has SUVs and sedans in a ratio of
5:9. How many sedans does the car dealership
have if there are 140 SUVs?
Answer:
The car dealership has 252 sedans.
Step-by-step explanation:
Number of SUVs = 140
Ratio of SUVs to sedans = 5:9
Sum of ratios = 5+9 = 14
Total number of cars = 14/5 × 140 = 392
Number of sedans = 9/14 × 392 = 252
9 (y+2) -5 (y-6) = -4y -9 solve for y
[tex]
9y+18-5y+30=-4y-9 \\
8y+57=0 \\
y=-\frac{57}{8}=-7.125 \\
[/tex]
Hope this helps.
Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Step-by-step explanation:
First off, Let's Simplify!
[tex]9y + 18 - 5y + 30 = -4y - 9[/tex]
Next, Let's Combine Like Terms!
[tex]9y - 5y + 18 + 30 = -4y - 9[/tex]
~~~~~~~~~~~~~~~~~~~~~~~
[tex]4y + 48 = -4y - 9[/tex]
Now, Let's Isolate the Variable!
[tex]8y + 48 = -9[/tex]
[tex]8y = -57[/tex]
Final Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Hope that helps and maybe earns a brainliest!
2 3 8 63 what number is next
Answer:
The answer is 3968
63 squared= 3969
3969-1 = 3968
Please help I will mark brainliest for correct answers!
Answer:27.5
Step-by-step explanation:
Answer:
B. 27.5
Step-by-step explanation:
37 is the Q2, which is the median,
Q1 is 27 + 28 / 2 = 27.5
PLEASE HELP IM STUCK
Answer:
Vertex: (0, 12)
Direction: Upwards
Step-by-step explanation:
Easiest way to do this is to graph it. When you do so you should be able to see that your vertex is at (0, 12) and that the graph opens upwards (a is not negative, so no reflection over the x-axis).
Juan did a survey in four butterfly parks and wrote the following observations: Butterfly Park Survey Park Number of Pink Butterflies Total Number of Butterflies P 25 53 Q 35 64 R 37 75 S 23 55 Based on the survey, which park had the greatest percentage of pink butterflies? Park P Park Q Park R Park S
Answer:
Park Q has greatest percentage of pink butterflies.
Step-by-step explanation:
Butterfly Park Survey Park P Q R S
No, of Pink Butterflies 25 35 37 23
Total Number of Butterflies 53 64 75 55
Now we are supposed to find which park had the greatest percentage of pink butterflies
So, Percentage of pink butterflies in park P =[tex]\frac{25}{53} \times 100=47.169\%[/tex]
Percentage of pink butterflies in park Q =[tex]\frac{35}{64} \times 100=54.68\%[/tex]
Percentage of pink butterflies in park R= [tex]\frac{37}{75} \times 100=49.33\%[/tex]
Percentage of pink butterflies in park S= [tex]\frac{23}{55} \times 100=41.81\%[/tex]
So, Park Q has greatest percentage of pink butterflies.
So, Option B is true
Hence Park Q has greatest percentage of pink butterflies.
21.
6
Which ratio can form a proportion with 6/9
12/8
8/12
10/12
8/13
Step-by-step explanation:
6/9 divide top and bottom by 3 to get 2/3
Now reduce each of the fractions to the lowest terms, and look for one that gives 2/3.
12/8 = 3/2 (divide by 4 top and bottom)
8/12 = 2/3 (divide by 4 top and bottom) This is a solution
10/12 = 5/6 (divide by 2 top and bottom)
8/13 (cannot be reduced)
Therefore the second fraction (8/12) forms a proportion with 6/9.
Answer:
8/12
Step-by-step explanation:
divide through by 2 6/9 = 2/3
also,
divide through by 4
8/12 = 2/3
6/9 = 8/12
What is the equation of the parabola?
A. y=-1/8x^2+5
B. y=1/8x^2+5
C. y=1/8x^2-5
D. y=-1/8x^2-5
Answer:
The answer is option B.
y = 1/8x² + 5
Hope this helps you
Every day you collect 3 pennies and keep them in a jar. So the first day you have 3, the second day you have 6, the third day you have 9, etc. How many do you have on the 13th day?
Answer: 39 Pennies
Step-by-step explanation: You can think about this question as a multiplication problem. When you look at the pattern of the the other days you notice that they are all mulitples of 3. So when you want to find the number of pennies on the 13th day. You can do 3*13 = 39.
Question 4 Select Prism from the list of shapes. Set the number of lateral faces to five, and explore the cross sections of a pentagonal prism. Move the intersecting plane, and vary the angle between the intersecting plane and the vertical axis to identify the shapes of different types of cross sections. Part A Note all the types of cross sections you observe. In the table, describe the shape of the cross section formed when a particular plane passes through the prism.
Answer:
Step-by-step explanation:
Answer:
Plato
Step-by-step explanation:
rectangle
pentagon
pentagon
pentagon, hexagon ,heptagon
pentagon, quadrilateral, or triangle
Simplify as a ratio: 100:199:47
Answer:
Find GCF of all values in the given ratio
GCF(100, 199, 47) = 1
When GCF value is equal to 1, the given ratio can not be simplified.
Step-by-step explanation:
It cant be simplified
Answer:
100:199:47
Step-by-step explanation:
The ratio cannot be simplified.
The numbers 199 and 47 are prime numbers, and only have the factors of 1 and themselves.
Round the numbers to estimate the quotient.
29 1/5 ÷ 4 6/7
Nhich numbers should be used?
Answer:
≈ 5.8
Step-by-step explanation:
Step 1: Round the fractions
29 1/5 = 146/5 = 29.2 ≈ 29
4 6/7 = 34/7 = 4.85714 ≈ 5
Step 2: Divide
29/5 = 5.8
The answer is under
Diego paid $47 for 3 tickets to a concert. Andre paid $141 for 9 tickets to a concert. Did they pay at the same rate?
Answer:
They did pay at the same rate
Step-by-step explanation:
when dividing 47 by 3 you get 15.666... and when dividing 141 by 9 you also get 15.666... using this you can deduce that it is the same rate.
Answer:
Yes
Step-by-step explanation:
We can use ratios for this:
Diego:
47:3 tickets
Divide both sides by 3 so you get the price of one ticket
15.67: 1 ticket
Andre:
141: 9 tickets
Divide both sides by 9 so you get the price of one ticket
15.67: 1 ticket
Calculate the length of the unknown side of this right-angled triangle.
9 cm
17 cm
Answer:
14.4 cm
Step-by-step explanation:
Answer:
4√13
Step-by-step explanation:
Let's call the missing side length x
The given is a right triangle and in right triangle the square
length of hypotenuse is equal to square sum of other two side lengths
17^2 = 9^2 + x^2
289 = 81 + x^2 subtract 81 from both sides
208 = x^2
4√13 = x
Given that [Image Display]
What is the domain of the function f ?
a.
only positive integers
c.
only negative integers
b.
All non zero real numbers.
d.
All real numbers including zero
Answer:
The answer is option D.
All real numbers including zero
Hope this helps
Answer:
all non zero real numbers is the answer to the question.
this is because 0 cannot be a function of f of x because you would have undefined as an answer so therefore the answer is all non zero real numbers
A cube has an edge length of 13 feet. What is its volume, in cubic feet?
Answer:
V =2197 ft^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the length of a side
V = 13^3
V =2197 ft^3
Answer:
Volume = 2197ft³
-b -b +5 pls show work and solve
Answer:
Step-by-step explanation:
-b -b +5
= -2b + 5
Solve for x in the diagram.
Answer:
x = 15
Step-by-step explanation:
Using Pythagorean Theorem
=> [tex]c^2 = a^2+b^2[/tex]
Where c= x, a = 12, b = 9
=> [tex]x^2 = (12)^2+(9)^2[/tex]
=> [tex]x^2 = 144+81[/tex]
=> [tex]x^2 = 225[/tex]
Taking sqrt on both sides
=> x = 15
Does this table represent a function? why or why not?
Answer:
I think it's A but I could be wrong
Answer: B
Step-by-step explanation:
A graph or table is a function if it passes the vertical line test. That means, each x and only 1 y. One x cannot have more than 1 y because, that means it does not pass the veritcal line test. In the vertical line test, the vertival line only passes through 1 point, not 2. Since we know that this graph does not pass the vertical in test, we can eliminate C and D. We can eliminate A because 2 y-values can be the same as lone as there have different x. B fits the description of what we see on the table. Therefore, the answer is B.
linear inequality: solve -4x+2
Answer:
x≤-6
Step-by-step explanation:
-4x+2≥ 26
Subtract 2 from each side
-4x+2-2 ≥ 26 -2
-4x ≥ 24
Divide by -4 remembering to flip the inequality
-4x/-4 ≤-24/-4
x≤-6
Answer:
B. x ≤ -6
Step-by-step explanation:
-4x + 2 ≥ 26
Subtract 2 on both sides.
-4x ≥ 26 - 2
-4x ≥ 24
Divide -4 on both sides.
x ≤ 24/-4
x ≤ -6
Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.
Answer:
The third and fourth options.
Step-by-step explanation:
You simplify the inequality first...
-6x + 15 < 10 - 5x
-x < -5
x > 5
The first option is incorrect since it is less than.
The second option is basically -5x < 15; x > -3; that's incorrect.
The third option is basically -x < -5; x > 5; that is correct!
The fourth option is correct since it shows more than 5.
The fifth option is incorrect because it shows less than -5.
Hope this helps!
Answer: The answer is C and E
Step-by-step explanation:
Hope this helps;)
find clarissa salary when she sells $1700 worth of merchandise.
Answer:
361.25
Step-by-step explanation:
first subtract her sales
900 - 500 equals 400
next subtract her earnings
489-405= 85
next divide the remainder of her earnings by the remainder of her sales
85/400=.2125
finally multiply this by 1700
0.21 to 5 * 1700 equals 361.25