The money received by Marcia = £ 6
According to the given information
The money is shared between Marcia and Becky in the ratio = 1 : 4
Let the money got by Becky = £ x
Marcia got £ 18 less than Beck = x - 18
So
Taking the ratio
[tex]\frac{1}{4}=\frac{x-18}{x}[/tex]
Cross multiply both the fractions
x = 4(x - 18)
x = 4x - 72
-3x = -72
x = 24
Money got by Beck = £ 24
Money received by Marcia = 24 - 18
= £ 6
Hence
The money received by Marcia = £ 6
To know more about Ratio
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Which of the rectangular boxes shown has the greater volume?
A. The green box.
B. The purple box.
C. They have equal volumes.
D. There is not enough information to tell.
Answer:
C
Step-by-step explanation:
volumes are width x height x length
4 x 2 x 2 = 16
8 x 2 x 1 = 16
Someone please help me with this question I would really appreciate it!
Answer:
she is correct
Step-by-step explanation:
along with color she also has the type
like type:leather= color brown ,black ,blue
cloth= tan and gray
multiplication
type =2
leathers color =3
cloth color = 2
= 12
Suppose each cube in this figure is a -inch cube. Select all that are true.
The dimensions of this prism are 3 inches × 2 inches × 2 inches.
The volume of this prism is 15 cubic inches.
The volume of this prism with -inch unit cubes is the volume of the prism with 1-inch cubes.
There are 96 cubes in the prism.
Answer:
Can you attach the figure?
Step-by-step explanation:
Nancy had 333 dollars to spend on 9 books. After buying them she had 18 dollars. How much did each book cost ?
Answer:
35 dollars
Step-by-step explanation:333-18=315 dollars
315/9=35 dollars for each book
Much of the declaration of independence consist of a list what does it list?
Answer: complaints of the wrongs done to the colonists.
Solve for x. Show all your steps/work.
216x = 6x + 1
Two-step equation
2x+5x=-1
What's the answer for x=
Answer:
x=-1/7
Step-by-step explanation:
Combine like terms
7x=−1
Then you divide both sides by 7 and then you get x=-1/7 (fraction)
Hope it helps :)
Can somebody plz help answer these last questions correctly (only if u know how to do this) if u can answer the because ones too I would appreciate it
Thanks :2
WILL MARK BRIANLIEST WHOEVER ANSWERS FIRST :DDD
Answer:
∠e = 105° because ∠e and the 105° angle are vertically opposite angles
∠h = 75° because ∠h and the 105° angle are supplementary angles
∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles
∠c = 105° because ∠c and the 105° are corresponding angles
∠b = 75° because ∠b and ∠f are corresponding angles
∠a = 105° because ∠a and ∠e are corresponding angles
∠d = 75° because ∠d and ∠h are corresponding angles
Step-by-step explanation:
The given diagram includes two parallel lines having a common transversal that crosses both (parallel) lines
By sing angle properties, we have;
∠e = 105° because ∠e and the 105° angle are vertically opposite angles formed by the same two straight lines and are therefore always equal
∠h = 180° - 105° = 75° because ∠h and the 105° angle are angles that form a straight line and are therefore supplementary angles which are angles that sum up to 180°. Therefore, ∠h + 105° = 180°, therefore ∠h = 75°
∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles
∠c = 105° because ∠c and the 105° are corresponding angles and corresponding angles are equal
Similarly, we have;
∠b = ∠f = 75° because ∠b and ∠f are corresponding angles
∠a = ∠e = 105° because ∠a and ∠e are corresponding angles
∠d = ∠h = 75° because ∠d and ∠h are corresponding angles
Suppose the total area is represented by the equation x^2+14x+24. If the area 1 is x^2 square units and area IV is 24 units, what must be true about area II and area III.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Total = x^2 + 14x + 24[/tex]
[tex]Area\ I = x^2[/tex]
[tex]Area\ IV = 24[/tex]
Required
True about area II and III
The question is incomplete; so, I will answer using general knowledge.
If the total area is:
[tex]Total = x^2 + 14x + 24[/tex]
And there are 4 areas, then;
[tex]Total = Area\ I + Area\ II + Area\ III + Area\ IV[/tex]
Rewrite as:
[tex]Total = Area\ I + Area\ IV+ Area\ II + Area\ III[/tex]
This gives:
[tex]x^2 + 14x + 24 = x^2 + 24+ Area\ II + Area\ III[/tex]
Collect like terms
[tex]x^2 -x^2 + 14x + 24 -24= Area\ II + Area\ III[/tex]
[tex]14x = Area\ II + Area\ III[/tex]
Rewrite as:
[tex]Area\ II + Area\ III = 14x[/tex]
So, the sum of areas III and IV must be 14x
Help me with this ASAP
Answer:
2 to the power of 2 times three to the power of 2
3 to the power of 2 times 5 to the power of 2
6 to the power of 2 times 7 to the power of 3
7 to the power of 2 times 5 to the power of 3
3 to the power of 2 times 5 to the power 2 times 7 to the power of 2
Step-by-step explanation:
Please help me with this Algebra 1 question!
Answer:
Step-by-step explanation:
2.9
1.9
-1.6
Write an expression, in its simplest form, for the volume of this cuboid
Answer:
[tex]V=10x^2+35x+15[/tex]
Step-by-step explanation:
Given that,
Length = (2x+1)
Width = (x+3)
Height = 5
We need to find an expression for the volume of this cuboid . The formula for the volume of cuboid is given by :
[tex]V=lbh[/tex]
So,
[tex]V=(2x+1)\times (x+3)\times 5\\\\=(2x+1)\times (5x+15)\\\\=10x^2+30x+5x+15\\\\=10x^2+35x+15[/tex]
So, the volume of this cuboid is equal to [tex]10x^2+35x+15[/tex].
Use the quadratic formula to solve the equation.
4x2 - X+ 3 = 0
Answer:
X=11
Step-by-step explanation:
4 x 2 - X + 3 = 0
multiply 4 x 2
=8
subtract the 3 and 8 to the other side which will made it
-X = -11
and this can be divided by a negative so the answer will be
X = 11
4. Right triangle LMN is shown on the coordinate grid below. Which of the following is the length, in units, of line segment MN?
Answer:
The answer is B.
Step-by-step explanation:
1. John earns 12% for each house he sells.
If he sells a house for $52,000 , what is his commission?
|
Answer:
6240
Step-by-step explanation:
52,000*12%=6240
What is the value of x and perimeter?
i need an answer to this with workings
pls type it if ur answering..cos file links aren't working
Expand (a-b)^7
Answer:
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
Step-by-step explanation:
There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.
[tex](a-b)^7[/tex]
[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]
Now simplify, multiply two terms together,
[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]
Repeat this process,
[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]
Repeat this process one final time,
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
Which galaxy is the farthest from Earth?
galaxy a
galaxy b
galaxy c
galaxy d
Answer: Galaxy c is the farthest
Step-by-step explanation:
Find the factor pairs for 12.
1 and 12
2 and 6
3 and 4
The factors of 12 are 1, 2, 3, 4, 6, and 12.
Answer:
the factor pairs of 12 are 1 and 12 , 2 and 6 , 3 and 4
Step-by-step explanation:
The computation of the factor pairs is shown below:
The factor pairs means the two numbers which are multiplied to get the number 12
So it is
1 and 12
2 and 6
3 and 4
Hence, the factor pairs of 12 are 1 and 12 , 2 and 6 , 3 and 4
The same would be relevant
A smoothie recipe calls for 1.2 cups of strawberries for one batch. Michael uses 4.8 cups of strawberries today. How many batches did Michael make today?
Answer:
4 batches
Step-by-step explanation:
4.8/1.2 = 4
a triangle is doing on a grid if each box represents one square unit what is the area of the triangle
Answer:
4 square units
Step-by-step explanation:
1. Why did the Mexican War lead to conflict between North and South?
Answer:
Many northerners were opposed to the Mexican-American War. Many southerners supported this conflict. A big reason for the different viewpoints regarding our involvement in this war was the issue of slavery. ... The northerners were concerned that many new states would be created from the lands we would receive from Mexico
Please mark as brainly for detailed explanations of various answers in the future:)
−6, −3, 2, 9, 18, . . . nth term
Answer:
Your answer would be
X^2-7
Step-by-step explanation:
Hope it helps .
Good luck .
Which expressions are equivalent to 8^x-2? Select all that apply.
(picture below)
Consider that the height of the given pyramid is 11 ft. What is the volume?
Answer: 308
Step-by-step explanation:
i guessed and got it right lol sorry but no explanation
3. Aneesa thinks that (8x)^1/2 is equivalent to 8x^1/2
Do you agree or disagree? Justify your answer.
Answer:
x= 0 I believe the answer would be false.
Please help!!! I’ll mark you as brainliest!!!!!
Step-by-step explanation:
guys please help me with this question, I’d appreciate it a lot
Answer:
n = 84.1
Step-by-step explanation:
what’s the perimeter?
The perimeter of a triangle Park shown on the rate is 13 X -7 what is the missing length
Answer:
The length of the missing side is 7x-5
Step-by-step explanation:
Here, we want to get the value of the missing length
Mathematically, the perimeter of a triangle can be obtained by adding the lengths of its sides
So by subtracting the sum of the lengths of the two given sides from that of the perimeter, we get the length of the third side of the triangle
mathematically, we have this as;
13x-7 -(4x + 2 + 2x-4)
13x-7 - (4x + 2x + 2-4)
= 13x-7 - (6x -2)
= 13x -7 -6x + 2
= 13x-6x -7 + 2
= 7x -5
Which set of data has the highest interquartile range? Group of answer choices 8,12,14,14,20 8,12,14,14,22 9,13,14,15,19 all of the above
Given:
The given data set are:
8,12,14,14,20
8,12,14,14,22
9,13,14,15,19
All of the above
To find:
The set of data that has the highest interquartile range(IQR).
Solution:
We know that, the interquartile range(IQR) of a data set is the difference between the third quartile and first quartile.
[tex]IQR=Q_3-Q_1[/tex]
All the given data set has five values in ascending order. So, the first value is the minimum value, second value is the first quartile, third value is the median, the fourth value is the third quartile and the fifth value is the maximum value.
For 8,12,14,14,20,
[tex]IQR=14-12[/tex]
[tex]IQR=2[/tex]
For 8,12,14,14,22,
[tex]IQR=14-12[/tex]
[tex]IQR=2[/tex]
For 9,13,14,15,19,
[tex]IQR=15-13[/tex]
[tex]IQR=2[/tex]
All interquartile ranges are equal. So, all the data sets has t he highest interquartile range.
Therefore, the correct option is D.