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Activity 4: Solve the following problem.
1. Ellen has 2 chicken eggs and 3 quail eggs in a tray. What is the ratio of quail eggs
to chicken eggs?
2. A basket contains 75 mangoes. What is the ratio of the basket to the total
number of mangoes?
3. Kris bought 2 pairs of shoes and 5 pairs of socks. What is the ratio of shoes to
socks?
4. Rina planted 15 tomato seedlings and 20 pechay seedlings. What is the ratio of
pechay seedlings to tomato seedlings?
5. What is the ratio of vowel letters to consonant letters in your full name?
Answer:
1. 3:2
2. 1:75
3. 2:5
4. 20:15 or 4:3
5. count the vowel letters and consonant letters of your full name then write it according to the ratio of the numbers of vowel and consonant letters
Please please please answer this and show the steps. I’ll give Branliest to whoever replies first
Answer:
x = -3
y = 4
Step-by-step explanation:
distribute first
7x + 35 = 2y + 6
combine 'like terms'
7x - 2y = -29
do same steps for second equation
4x + 4y = 13 + 3x
x + 4y = 13
System of Equations:
7x - 2y = -29
x + 4y = 13
Multiply the first equation by 2 to eliminate the 'y-term'
14x - 4y = -58 (Now add this to the second equation)
+ x + 4y = 13
15x = -45
x = -3
Substitute -3 for 'x' to find 'y'
-3 + 4y = 13
4y = 16
y = 4
Stores often mark up items each year to cover inflation.
Last year, a CD at Juan's Tunes cost $12.95. This year,
the cost was marked up 8%. The store also gave anyone
who bought four CDs this
year a 10% discount. Explain
the steps to find the final cost for the four CDs this year.
Answer:
so you have $12.95. then you multiply it by 8% which gives you $13.986. Then you take 10% off of it, which gives you $12.5874.
Answer:
The new price would be 108% of last year’s price. Multiply the new price by 4 and then multiply that amount by 90% to find the sale price.
Step-by-step explanation:
sample response
Which is the directrix of a parabola with equation x2 = 8y?
O y = 2
O X=-2
O y=-2
O X=2
Answer:
Y=-2
Step-by-step explanation:
You would use the vertex form to find the directrix
The directrix is a horizontal line that is y = -2.
Option C is the correct answer.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x-h)^2 + k
We have,
The directrix of the parabola with equation x^2 = 8y is a horizontal line, and its distance from the vertex is equal to the value of the parameter p.
To find the value of p, we need to rewrite the equation of the parabola in the standard form:
x² = 8y
Dividing both sides by 8, we get:
x²/8 = y
Comparing this equation to the standard form of a parabola with a horizontal axis of symmetry, which is given by (y-k)² = 4p (x-h), we can see that h = 0, k = 0, and p = 2.
Therefore,
The directrix is a horizontal line that is 2 units below the vertex, which is located at (0,0).
i.e
y = -2.
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Apples and tangerines were sold in the ratio of 6 to 4.
40
tangerines were sold. How many fruits were sold?
Answer:
100.
Step-by-step explanation:
By proportion the number of apples sold is (6/4) * 40
= 6 *10
= 60.
Total fruit = 40 + 60 = 100.
Factor this trinomial.
x2 - 9x+ 20
O A. (x – 4)(x - 5)
O B. (x-2)(x+10)
O C. (x - 2)(x - 10)
O D. (x – 4)(x + 5)
The factorization of the given trinomial [tex]x^2 - 9x+ 20[/tex] is (x – 4)(x - 5). The correct option is A.
What is trinomial?A trinomial is a polynomial that has three terms. To factor a trinomial of the form [tex]ax^2 + bx + c[/tex], you need to find two binomials that multiply together to produce the original trinomial.
To factor the trinomial [tex]x^2 - 9x + 20[/tex], we need to find two numbers that multiply to 20 and add up to -9. These two numbers are -4 and -5. Therefore, we can write:
[tex]x^2 - 9x + 20 = (x - 4)(x - 5)[/tex]
Or, To factor [tex]x^2 - 9x + 20[/tex], you need to find two numbers that multiply to 20 and add up to -9. These numbers are -4 and -5 because -4*(-5) = 20 and -4 + (-5) = -9.
You can factor the trinomial as (x - 4)(x - 5).
Thus, the correct option is A.
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Candice, Jill, and Kivo raised money for their school's
golf team through a bake sale. They sold over-stuffed
brownies for $4.50 each, and they sold gourmet
cupcakes for $6 each. After selling 125 baked goods,
they collected $633 total. How much of the total did the
trio collect from selling the cupcakes?
$351
$282
$150
$78
$47
Mr. D’Alton made some radium in his lab. He used kg of the radium every time he 5 2ran his experiment. If he did the experiment four times and had kg left, how much2 3 1radium did Mr. D’Alton make at first?
Answer:
no lo sé por eso te lo escribo en español
Is 5 a solution to the equation 3x + 9 = 18? You must explain your answer.
Answer:
NO
Step-by-step explanation: No because 3 times 5 is 15 plus 9 will be 24 not 18.
The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?
Answer:
8inches
Step-by-step explanation:
Length of the third side = perimeter - ( side1 + side2 )
= 17 - (5+4)
= 17 - 9
= 8 inches
Jerry has a bag of counters.
Inside his bag are
2 blue
4 green
5 red and
9 yellow counters
Jerry is going to take a counter at random from his bag.
Write the correct colours to complete these sentences.
The probability that it will be ..................... is 0.2
The solution is 4 green
The probability of choosing a green counter from the bag is 0.2
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability of choosing a green counter be = P
Now , the value of P is
Let the total number of blue counters be G = 2
Let the total number of green counters be G = 4
Let the total number of red counters be G = 5
Let the total number of yellow counters be G = 9
So , the total number of counters = number of blue counters + number of green counters + number of red counters + number of yellow counters
Substituting the values in the equation , we get
The total number of counters = 2 + 4 + 5 + 9
The total number of counters = 20
Now , the probability of choosing the green counter P = total number of green counters / total number of counters
Substituting the values in the equation , we get
Probability of choosing the green counter P = 4/20
Probability of choosing the green counter P = 2/10
Probability of choosing the green counter P = 0.2
Therefore , the value of P is 0.2
Hence , the probability of choosing green counter is 0.2
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Show mathematically why the ratio 15:10 is not equal to 10:15
Answer:
Hello here is my answer
Step-by-step explanation:
The 2 ratios are 15:10 and 10:15
multiply the numbers of the first ratio with the last number if the second ratio, which means,
15*15=225
10*15=150
we get 225:150
now we multiply the numbers of the second ratio with the last number if the first ratio.which means,
10*10=100
15*10= 150
now compare bot of them
225:150::100:150
we see that 225:150>100:150
hence proven that 15:10 is not equal to 10:15
24 - 3x Evaluate each expression if x = 5
Answer:
9
Step-by-step explanation:
24 - 3(5)
24 - 15
9
good luck, i hope this helps :)
The first side of a triangle is four inches longer than twice the
second side. The third side of the triangle is 5 inches shorter than
the sum of the other two sides. The perimeter is 72 inches. Find
the lengths of the three sides.
Answer:
1st Side: 27 inches, 2nd Side: 23/2, 3rd Side: 67/2
Step-by-step explanation:
Let's solve your problem step by step:
First side should be: 2x+4
Because 2 times the second side =, and 4 longer than that.
Second side should be: x
This is the base of the equation, since all the numbers depend on "x"
Third side should be: (3x+4)-5
Because x + x+4, and the third side is 5 shorter..
We add all and we get 72.
Solve for x.
x=23/2
Now, we can solve for other sides, by doubling it and adding 4.
This is answer is correct, I tried it. :)
sin(30)=1
the solution set is{}?
Answer:
.5
Step-by-step explanation:
sin30 = 0.5 when multiplied by 1 it stays the same
-7(-2w-2y+4) distributive property to remove the parentheses
Answer:
14w + 14y - 28
Step-by-step explanation:
-7(-2w - 2y + 4)
Distributive:
14w + 14y - 28
good luck, hope this helps :)
Given that 6x – 7y = 22
Find y when x = -1
y =
Answer:
y = -4
Step-by-step explanation:
given x = -1
6x - 7y = 22
6(-1) -7y = 22
-6 - 7y = 22
-7y = 22 + 6
-7y = 28
y = -4
(Please heart and rate if you find it helpful, it's a motivation for me to help more people)
Latoya's softball team won 75%, or 18, of its game. Define a variable. Write and solve an equations to determine the number of games the team played.
Will give brainliest
Answer:
18 / 3 * 4 = a
a = 24
Step-by-step explanation:
so we know that 18 is = to %75 but we need to know what %100 is, to figure this out lets find a common denominator
so we know that %75 of something is 3/4, and to double check, we can take the fraction 3/4 and divide it the way its written, bc thats what a fraction is, a small division problem
3 / 4 = 0.75 or 75/100 or %75
so now we know we have 3 out of 4 parts of something, to find out how big each part is, we divide the number (18) by how many pieces we have...
18 / 3 = 6
so each 1/4 is = to 6, now to figure out the whole, we multiply by how many pieces are in said whole, in this case by 4
6 * 4 = 24
so since we know that 6 is = to %25 and we multiplied 6 by 4, we can do the same to %25...
25 * 4 = 100
and have the whole
this is basically a detailed explanation of the other answer
hope this helps :)
Rectangles G and H are similar. If the area of rectangle G is 80, what is the area of rectangle H?
Answer:
20
Step-by-step explanation:
3. Find the value of x.
Need help will mark Brainliest
Answer:
x=22
Step-by-step explanation:
trust me
choose five ordered pairs whose first and second coordinates are equal. plot these points and connect them. what kind of figure do you get? in what quadrants does this figure lie in?
Answer:
The figure is a straight line.
The figure lies in the first and the third quadrants.
Step-by-step explanation:
Take five ordered pairs as [tex](1,1),(2,2),(-1,-1),(-2,-2),(3,3)[/tex]
Here, the first and second coordinates are equal.
Now, plot these points and connect them.
From the graph, it can be observed that the figure is a straight line.
Also, the figure lies in the first and the third quadrants.
how many eighth notes are in a sixteenth note
Answer:
two sixteenth notes
Step-by-step explanation:
Answer:
1/2 of an eighth notes are in a sixteenth note
Step-by-step explanation:
2 sixteens = 1 eight
good luck, hope this helps :)
Item 3
Solve for a.
a+(−4)=−13
a=−17
a=−9
a = 9
a = 17
Answer:
a = -9
Step-by-step explanation:
a+(-4)=-13
add 4 to each side
a-4+4 = -13+4
a = -9
Answer:
a = - 9
Step-by-step explanation:
a + (-4) = -13
Add 4 to both sides
a + (-4) + 4 = -13 + 4
a + 0 = -9
a = -9
When two numbers have different sign, subtract and the result will have the sign of the bigger number
Help this is trigonometry I think 35 points!!
Answer:
y = 16.3
Step-by-step explanation:
We would apply the formula for altitude of a right triangle which is given as:
h = √(xy)
Where,
h = 14
x = 12
y = y = ?
Plug in the values
14 = √(12*y)
14² = (√(12*y) (squaring both sides)
196 = 12*y
196/12 = 12y/12 (division property of equality)
16.3 = y (nearest tenth)
y = 16.3
[tex] - x - 3 + x = \sqrt{9 - 2x} + x[/tex]
Answer:
x= -8
Step-by-step explanation:
Determine the no. of permutations
for the word PHOTOGRAPH
Given:
The word is "PHOTOGRAPH".
To find:
The no. of permutations for the given words.
Solution:
The total number of letters in the word PHOTOGRAPH is 10.
It is clear that P, H, O are twice and T, G, R, A are occurred once.
To find the total number of permutations, we need to divide the permutation of 10 letters by the permutation of repeated letters.
The total number of permutations for the given word is
[tex]Permutations=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]
[tex]Permutations=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2}[/tex]
[tex]Permutations=10\times 9\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]
[tex]Permutations=453600[/tex]
Therefore, the no. of permutations for the word PHOTOGRAPH is 453600.
A car manufacturer announced that next year the price of a certain model car would increase by 3.5%. This year the price is $15,649 . The increase in the price of the car is $? The new price of the car is $?
The increase will be the original price x the increase rate.
15649 x 0.035 = $547.72
The new price would be original price + increase
15649 + 547.72 = $16,196.72
3
Choose all the expressions that are equal to
A.
8
15
5
11
B.
7
12
+
6
C. 5
6
-
1
12
D.
5. 1+
E.
7
20
3
5
Answer:
the answers (D)
Step-by-step explanation:
pls just solve its 7th grade not hard :)
Explain the difference between (-5)squared and -5squared.
Answer:
The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.
All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.
