Answer:
There are 10 boys and 6 girls in the class
Step-by-step explanation:
The given parameters are;
The number of boys = The number of girls + 4
The number of students in the class = 16
Let x represent the number of girls in the class and let y represent the number of boys in the class
Therefore;
y = x + 4...(1)
x + y = 16...(2)
Making y the subject of equation (2) gives;
y = 16 - x
Equating the values of y from equation (1) and equation (2) gives;
x + 4 = 16 - x
Which gives;
2·x = 16 - 4 = 12
x = 12/2 = 6
x = 6
The number of girls = x = 6
From equation (1), we have;
y = x + 4 = 6 + 4 = 10
y = 10
The number of boys = y = 10.
Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cups Mixture B 6 cups 6 cups Mixture C 4 cups 12 cups Mixture D 5 cups 6 cups Which mixture has the highest ratio of blue paint to white paint?
Answer: Mixture C. 1:3
Step-by-step explanation:
given data:
paint mixtures
mixture blue white
A 12 5
B 6 6
C 12 4
D 6 5
Solution:
= [tex]\frac{4}{12}[/tex]
= [tex]\frac{1}{3}[/tex]
= 1:3
from the given data, mixture C has the highest number or ratio of blue paint to white paint which is 1:3 this means for every bucket of white paint there are 3 other buckets of blue.
Answer:
Mixture B
Step-by-step explanation:
got it right on the test
Keisha wants to buy a stereo. Her mother said if Keisha saved 75% of the cost of the stereo, she would pay the other 25% and the taxes. If the cost of the stereo is $150.00, how much money does Keisha need to save?
Keisha needs to save $________???
HURRY PLS
Answer:
$112.50
Step-by-step explanation:
25% is $37.50
37.50x3=112.50
Answer:
its 112.50
Step-by-step explanation:
i got it right
Is it A B C or D? Please respond
Please help me with this question! Will mark brainliest :)
lenght :
[tex]2x - 3[/tex]
breadth :
[tex]4x + 5[/tex]
AREA = LENGTH × BREADTH
[tex] = (2x - 3) \times (4x + 5)[/tex]
multiplying the above gives :
[tex] = 8 {x}^{2} + 10x - 12x - 15[/tex]
[tex] = 8 {x}^{2} - 2x - 15[/tex]
Select the correct answer.
Sean used cross multiplication to correctly solve a rational equation. He found one valid solution and one extraneous solution. If 1 is the extraneous solution, which equation could he have solved?
Answer:
Answer A
Step-by-step explanation:
In the equation [tex]\dfrac{10}{x^2-1}=\dfrac{15}{3x-3}[/tex], 1 makes the denominator zero and 1 is the solution of the equation derived from cross multiplication.
Given :
Sean used cross multiplication to correctly solve a rational equation. He found one valid solution and one extraneous solution. 1 is the extraneous solution.Option A)
Given :
[tex]\dfrac{10}{x^2-1}=\dfrac{15}{3x-3}[/tex]
The above expression is not defined for x equal to 1 so, 1 is an extraneous solution.
Simplify the above equation by doing the cross multiplication.
[tex]10(3x-3)=15(x^2-1)[/tex]
[tex]30(x-1)=15(x-1)(x+1)[/tex]
2 = x + 1
x = 1
In the given equation 1 makes the denominator zero and 1 is the solution of the equation derived from cross multiplication.
Therefore, the correct option is A) and therefore, no need to check the other options.
For more information, refer to the link given below:
https://brainly.com/question/11897796
Robert needs to know if the triangle shown is a right triangle. Which equation could he use to help? A. 36+ 25= 49B. 25 + 36 = 49 C. 25 2 + 36 2 = 49 2 D. 36 2 –25 2 = 49 2
Answer:
C. 25² + 36² = 49²
Step-by-step explanation:
We use the Pythagoras theorem to determine if the triangle is a right angle triangle. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In geometry, hypotenuse is the longest side in a right angle triangle. This means it would have the highest number.
A. 36+ 25= 49
This is wrong because the theorem deal with the sum of the squares of the other two sides.
B. 25 + 36 = 49
This is wrong because the theorem deal with the sum of the squares of the other two sides.
C. 25² + 36² = 49²
This is correct as it matches the theorem.
D. 36² –25² = 49²
This is wrong because the theorem deal with the sum of the squares of the other two sides and not their difference.
What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down.
Answer:
(4,-2.5)
Step-by-step explanation:
because you move to the right it is a positive x-axis point and since you are moving down it is a negative y- axis point
Answer:
-3,-4.5
Step-by-step explanation:
Please help me! 10 pts and brainliest! Please
Which equation can be solved to find the value of y in this diagram? The pic is above!
A. y+ 116 + 30 = 180
B. y-116 - 30 =360
C. y+116 + 30 - 360
D. y-116 - 30 = 180
Greg is filling his swimming pool at a rate of 42 gallons every 3 minutes. What is the constant rate of change in gallons per minute? Fill in the grid on your answer document. Be sure to use the correct place value.
Answer:
what are teachers teaching these days!?!?!?
Step-by-step explanation:
♀️
Translate the sentence into an inequality.
Twice the difference of a number and3 is at most 16.
Use the variable for the unknown number.
A line intersepts the point (3,-4) and has a slope of 17 . What is the slope-intersept equation for this line?
Answer:
y=17x-55
Step-by-step explanation:
y-(-4)=17(x-3)
y+4=17x-51
y=17x-55
question is in picture pls ASAP its due by 8 its 6 will give you brainliest :)))))))
Answer: 100 rides are needed to break even.
Step-by-step explanation:
C(x)=15x+2000 - x is the number of rides.
R(x)=35 x , where x is the number of rides
35x=15x+2000
35-15x=2000~subtract 15x from both sides~
20x=2000 ~simplify~
x=2000/20 ~dividing both sides by 20~
x=100
Can someone help with this question I don’t understand it!??!
Answer:
I think it's A, B, and B
Step-by-step explanation:
Pretty sure that irrational numbers are like square roots of things
find the sum:
13,16,19,...301
thanks!
Answer:
349
Step-by-step explanation:
please give thanks by clicking the heart :)
12.65 − n = 9.63
Whats the answer?
Answer:
n = 3.02
Step-by-step explanation:
12.65 - n = 9.63
- n = 9.63 - 12.65
- n = - 3.02
-n/-1 = -3.02/-1
n = 3.02
Answer:
3.02
Step-by-step explanation:
wwwwwwwwwwwwwwwweeemem2lm;2rnwejtnrjqktnqrjtnij;tnq43i;ntlhqrntbjqnlrjkebtgqrejtglqrjtnhtnhftkhkntiltnoeiqhtknefiothefwntbqotq43uhi413hto3u so it is 12
Answer: Ehhhhhhh
Hello?
Oof
what is 1/4x+1+3/4x-2/3-1/2x
Answer: 1/2x + 1/3
Step-by-step explanation:
Given:
1/4(x) + 3/4(x) - 1/2(x) + 1 - 2/3
Step 1: Combine like terms
1/4(x) and 3/4(x) have a common denominator of 4. This means that you can add them together.
1/4(x) + 3/4(x) = 4/4(x) = x
Step 2: Find the common denominator of x in step 1 and combine like terms
x - 1/2(x) = 2/2(x) - 1/2(x)
Now that we have the common denominator of x, we can combine like terms. Its the same as adding or subtracting fractions without a variable. In this case, you must subtract 1/2(x) from 2/2(x).
2/2(x) - 1/2(x) = 1/2(x)
Step 3: Find the common denominator of the constants and combine like terms
1 - 2/3 = 3/3 - 2/3
Now combine like terms. Simply subtract 2/3 from 3/3.
3/3 - 2/3 = 1/3
Step 4: Write the simplified equation
1/2(x) + 1/3
This is the answer
Becky is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. She starts by assigning coordinates as given.
A parallelogram graphed on a coordinate plane. The parallelogram is labeled A B C D. The coordinates of vertex A are 0 comma 0. The coordinates of vertex B a comma 0. The coordinates of vertex C are not labeled. The coordinates of vertex D are b comma c. Diagonals A C and B D intersect at point E whose coordinates are not labeled.
Drag and drop the correct answer into each box to complete the proof.
The coordinates of point C are (Response area, c).
The coordinates of the midpoint of diagonal AC¯¯¯¯¯ are (a+b2, c2) .
The coordinates of the midpoint of diagonal BD¯¯¯¯¯ are (Response area, c2).
AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E with coordinates (a+b2,Response area)..
By the definition of midpoint, AE¯¯¯¯¯≅Response area and Response area≅DE¯¯¯¯¯.
Therefore, diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.
Give actual answer will give brainliest
Answer:
Read Under
Step-by-step explanation:
Just did the quiz. First one is "a + b"
Second spot put "a+b/2"
Third put "c/2"
Finally put "CE" and then "BE"
A parallelogram is a quadrilateral , In which opposite sided are equal and parallel to each other.
The coordinate of point C are (a + b , c)
The coordinates of the midpoint of diagonal BD are [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
AC and BD intersect at point E with coordinates [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
By the definition of midpoint, AE ≅ CE and BE ≅ DE.
Therefore, diagonals AC and BD bisect each other.
Properties of Parallelogram shown below,
Opposites sides of a parallelogram are equal and parallel to each other. Opposite angles are equal.Diagonals of a parallelogram bisect each other. Each diagonal divides the parallelogram into two congruent triangles.Since, Diagonals of a parallelogram bisect each other. Therefore, point E is the mid point of both diagonal AC and BD.
Let us consider , coordinate of point C are (x, y)
By using mid point formula,
Coordinate of point E = [tex](\frac{x}{2},\frac{y}{2} )[/tex]
[tex](\frac{a+b}{2},\frac{c}{2} )=(\frac{x}{2},\frac{y}{2} )[/tex]
So, [tex]C(x,y)=(a+b,c)[/tex]
E is the point at which both diagonal bisect to each other. Therefore, E is the mid point of both diagonal AC and BD.
So, coordinate of point E are [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
Thus, By the definition of midpoint, AE ≅ CE and BE ≅ DE.
Therefore, diagonals AC and BD bisect each other.
Learn more:
https://brainly.com/question/13251657
What is the slope of a line perpendicular to the line whose equation is x+y=−1. Fully reduce your answer.
anyone? Does anyone know the answer if so comment down the answer if so thanks!!
Answer: 36
Step-by-step explanation:
Sry I got 12 but I changed it since 36 is correct
Answer:
36
Step-by-step explanation:
( 3 * 2 ) ^(2)
Remember the order of operations;
1. Parenthesis
2. Exponents
3. Multiplication or Division
4. Addition or subtraction
( 3 * 2 ) ^ (2)
Simplify what is in parenthesis first.
(6)^(2)
Now simplify the exponent. Remember, the power or the degree to which the base is at is telling one the number of times one needs to multiply the base by itself;
36
What is the height of the flagpole in the diagram below
Answer: The height of the flagpole is 12 feet.
Step-by-step explanation:
Let the height of the flagpole be 'H'.
So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.
Given:
Height of stick is,
Shadow of the stick is,
Shadow of the flagpole is,
Now, as these are in proportion, we have
Plug in the given values and solve for 'H'. This gives,
Hence, the height of the flagpole is 12 feet.
What is the significance of having short-term ínvestrnents?
Answer:
You can cancel your investment without wasting a lot of money.
Step-by-step explanation:
Short-term means that you dont have it for a long time, so you could basically wait it out and then cancel.
(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more! <3 me
Answer:
Short-term investments, also known as marketable securities or temporary investments, are those which can easily be converted to cash, typically within 5 years. Many short-term investments are sold or converted to cash after a period of only 3-12 months. Some common examples of short term investments include CDs, money market accounts, high-yield savings accounts, government bonds and Treasury bills. Usually, these investments are high-quality and highly liquid assets or investment vehicles.
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
y =
+
Step-by-step explanation:
The equation of the line is y = 4x - 9.
Rachel's biscuits require 0.75 cup of milk for 1 batch. Use dimensional analysis to convert this amount into liters. Use the conversion factors 1 cup/0.5 pints to convert cups into pints, 1 pint/0.5 quart to convert pintos to quarts, and 1 quart/0.94 liter to convert quarts to liters. Use the correct number of significant digits to give your answer
Answer:
0.75 cup = 0.1763 liters
Step-by-step explanation:
From the question:
Using the conversion factors given in question
We are converting
0.75 cup to liters
Step 1
Convert cups to pint
1 cup = 0.5 pints
0.75 cup = x pints
x = 0.75 × 0.5 pints
x = 0.375 pints
Step 2
Convert pints to Quart
1 pints = 0.5 quart
0.375 pint = x quart
Cross Multiply
x quart = 0.375 × 0.5 quart
x quart = 0.1875 quart
Step 3
Convert from quart
1 quart = 0.94 liter
0.1875 quart = x liter
Cross Multiply
x liter = 0.1875 × 0.94 liter
x liter = 0.17625 liters
Approximately to 4 significant figures= 0.75 cup = 0.1763 liters
Answer:
0.75 cup = 0.1763 liters
WILL MARK BRAINLIEST
Find three consecutive even integers such that the sum of the second and third is 3 times the first integer.
Answer:
3, 4, and 5
Step-by-step explanation:
Given: We're looking for x, x+1, and x+2
Requirements: (x+1)+(x+2)=3(x)
Solve equation:
x+1+x+2=3x
2x+3=3x
3=x
This means the three consecutive integers are 3, 3+1, and 3+2 which is the same as 3, 4, and 5
Original price $3:29;markdown 35%
What the value please help me
Answer:
2.94
Step-by-step explanation:
3.29 - 35/100 = 2.94
Unit
i-Ready
2
6) Paige walks to the park mile 2/3 away. It takes her 16 minutes to get there. Paige
her speed in miles per minute.
Which fraction represents Paige's wants to know speed in miles per minute?
Answer:2/3 / 16
Step-by-step explanation:
I js did it n got that
Answer:
2/3 / 16 or two-thirds divided by 16
Step-by-step explanation:
i did it and got it right and i need points. ty c:
What is the slope of the line shown below?
A. 2
B. -1/2
C. -8/5
D. -2
#10 PLEASE HELPPP, DUE SOON :(
Answer and Step-by-step explanation:
Question #10.
We are told to fill in the blank that corresponds to a property of congruence for like KM and line KM.
A property that states that something is equal to itself if the Reflexive Property of Congruence.
The Reflexive Property of Congruence is the answer. This is because it comes from a latin word called reflexus (also known as reflect), which is when something is the same of itself. In this case, the line KM is reflexive, or congruent to itself because when reflected, it reflects onto itself.
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Give the coordinates of one point that is 5 units from point C in the x-direction?