Answer: x=2
Step-by-step explanation: Plug 2 in the equation. 2 x 2 is 4. 4 + 14 is 18.
one morning each member of angela's family drank an 8-ounce mixture of coffee with milk. the amounts of coffee and milk varied from cup to cup, but were never zero. angela drank a quarter of the total amount of milk and a sixth of the total amount of coffee. how many people are in the family?
There are 5 people in the family.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have been given that each member of angela's family drank an 8-ounce mixture of coffee with milk.
Let the number of people would be n.
And a represents the coffee, and b represents the milk,
One-quarter of the milk and one-sixth of the coffee was consumed by Angela.
⇒ Angela drank b/4 of milk and a/6 of coffee.
Since everyone drank the same amount of coffee,
We have been to create an equation as
⇒ (a/6 + b/4)p = a + b
⇒ 2a(6 - n) = 3b(n - 4)
Given that both a and b are positive, we must fulfill the condition.
⇒(6 - n) > 0 and (n - 4) > 0
⇒ 6 > n and n > 4
So, the correct number of people = 5.
Hence, there are 5 people in the family.
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How many times larger is (1.092 × 101) than (7 × 10−1)?
The number 1.092 × 10¹ is 15.6 times larger than 7 × 10⁻¹ .
A number is said to be in standard form if it can be written in a decimal number between 1.0 and 10.0 multiplied with power of 10.
For Example: 1.8x10² is a standard form .
In the given question
1.092×10¹ and 7×10⁻¹
both the numbers are in a standard form
For comparison we need to convert them in decimal form
1.092 × 10¹ = 1.092 x 10 = 10.92
7 × 10⁻¹ = 7/10 = 0.7
So , According to the question
Let 10.92 be x times larger than 0.7
which means
(0.7)*x=10.92
x=10.92/0.7
x=15.6
Therefore , 1.092 × 10¹ is 15.6 times larger than 7 × 10⁻¹ .
The given question is incomplete , the complete question is
How many times larger is (1.092 × 10¹) than (7 × 10⁻¹)?
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The marine center has 150 parking spaces in front of its building.
What is the reciprocal of 150?
The reciprocal of 150 will be 1/150.
We have a marine center has 150 parking spaces in front of its building.
We have to find the reciprocal of 150.
What do you understand by the reciprocal of a number ?The reciprocal of a number is a number such that the product of both the numbers is equal to 1. Mathematically, if the original number is a, then its reciprocal will be 1/a , such that -
a x 1/a = 1
According to the question -
Let us assume that A = 150
Now, from the definition of reciprocal, the reciprocal of A will be -
1/A. Therefore, the reciprocal of 150 will be = 1/150
Hence, the reciprocal of 150 will be 1/150.
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what is -1 3/10 + (-3.8)? show your work
Answer:
-1 3/10 + (-3.8) = -5.1
Step-by-step explanation:
A line with a slope of 1 passes through the point (6,8). What’s it’s equation in slope intercept form?
Step-by-step explanation:
using y=mx+c (equation of a line)
equation of one point form
y-y1=m(x-x1)
where y1=8,x1=6,m=1
y-8=1(x-6)
y-8=x-6
y=x-6+8
y=x+2
intercept form=2
or
y=mx+c where y=8,x=6,m=1
8=1(6)+c
8=6+c
8-6=c
2=c
or c=2
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The graph below represents how much money Lana will make babysitting in one night. How much money will Lana make at the start of the night?
i think its 8. is the x days and y money?
What is the difference of the two polynomials?
(7y2 + 6xy) – (–2xy + 3)
7y2 + 4xy – 3
7y2 + 8xy – 3
7y2 + 4xy + 3
7y2 + 8xy + 3
Answer:
7y2 + 8xy - 3
Step-by-step explanation:
7y2 + 6xy + 2xy -3 You distribute the - sign through the second binomial. You are distributing or multiplying (-2xy -3) by -1 Combine like terms
7y2 + 8xy -3
Answer:
What is the difference of the two polynomials?
(7y2 + 6xy) – (–2xy + 3)
7y2 + 4xy – 3
7y2 + 8xy – 3 Correct
7y2 + 4xy + 3
7y2 + 8xy + 3
Step-by-step explanation:
Given the figure below, find the values of x and z.
By using the property of vertically opposite angles the value x= 4 and the angle z = 78°
What are vertically opposite angles?
Vertical opposite angles are angles made at the intersection of two lines, these are non adjacent angles that are opposite to each other.
Vertical opposite angles are equal to each other.
In the given figure (5x + 82)° and (11x + 58)° are vertically opposite angles.
(5x + 82)° = (11x + 58)°
5x + 82 = 11 x + 58
82- 58 = 11x - 5x
24 = 6x
x = 24 /6 = 4
Then (5x+82) = (5(4) +82)= 102
(5x + 82)° and z° both are angles on same line therefore their sum will be 180°
(5x+82) +z =180
102+z=180
z= 180-102 = 78
Therefore, the value x= 4 and the angle z = 78°.
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During a snowstorm, Snowfill an a constant rate for a number of hours. Then it stoped snowing for a number of hours. then it started Up again at a different constant rate Andrew Madie graph showing the edges of the snow on the ground over time using the data he collected. After how many hours were there 7 inches of snow on the ground
Answer: Unable to answer
Step-by-step explanation: If you do not show what the constant rate is, I am unable to solve it for you.
Can someone help me
The given table of the values of f(x) is used to complete the table for the function [tex]y = f \left( \frac{1}{5} \cdot x \right) [/tex], to give;
The following values of x and y as follows;
x: -0.8, -0.2, 0, 0.6, 1.2
y: 7, -2, 3, -4, 5
Please also see the attached table
How can the function, f(x) be scaled to give the function, [tex]y = f \left( \frac{1}{5} \cdot x \right) [/tex]?The question is with regards to scaling a graph horizontally.
Using the rule of scaling a graph, we have;
Given that a point on the graph of f(x) is (x, y), the corresponding point in the graph of f(C•x) is (C•x, y).
The given modification of the function is presented as follows;
[tex]y = f \left( \frac{1}{5} \cdot x \right) = f \left( 0.2 \cdot x \right)[/tex]
The points on the graph that completes the table are therefore;
(0.2×(-4), 7) = (-0.8, 7)(0.2×(-1), -2) = (-0.2, -2)(0.2×0, 3) = (0, 3)(0.2×3, (-4)) = (0.6, -4)(0.2×6, 5) = (1.2, 5)The completed table is therefore;
x y
-0.8 7
-0.2. -2
0 3
0.6. -4
1.2. 5
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 = g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could
be true for g.
(0)=2
B. 8-13) 20
C. 87)=-1
D. (-4)=-1
From the given statements, g(-13) = 20, that is option B, is true for g.
Here we are given that a function g has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45.
Further, g(0) = -2 and g(-9) = 6
Let us evaluate each option one by one-
A. g(7) = -1
As we can see x can take values only from -20 to 5. And 7 is greater than 5. This means that the function us not defined at g(7) and hence, option A is not the correct option.
B. g(-13) = 20
Here, x=-13 is in our domain and y = 20 also lies within our range. Hence, this is the correct option.
C. g(0) = 2
We are already given that g(0) = -2. y can take only one unique value for every value of x and hence, g(0) cannot be equal to 2.
D. g(-4) = -11
As we can see y can take values only from -5 to 45. And -11 is smaller than 5. This means that the function us not defined at g(-4) and hence, option D is not the correct option.
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Your question was incomplete. Check for the full content below-
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
g(0) = 2
g(7) = -1
g(-4) = -11
g(-13) = 20
answer the question in the image
Answer:
[tex]\frac{211}{500}[/tex]
Step-by-step explanation:
[tex].4\bar{2}[/tex] means the 2 repeats till infinity
[tex].4\bar{2}[/tex] = .4222222222.....
To convert to fraction just take the first three decimal place digits 422 and divide by 1000 to convert to fraction
[tex].4\bar{2} = \frac{422}{1000}[/tex]
Dividing numerator and denominator of this fraction by 2 gives
[tex]\frac{422/2}{1000/2} =\frac{211}{500}[/tex]
This cannot be simplified further and therefore
[tex].4\bar{2} = \frac{211}{500}[/tex]
If we had chosen first 4 decimal digits then it would be[tex].4\bar{2} = \frac{4222}{10000} = \frac{2111}{5000}[/tex]
i.e. we divide by 10,000
the number of bacteria in a culture is increasing according to the law of exponential growth. after 3 hours, there are 400 bacteria, and after 6 hours, there are 3,200 bacteria. write an equation that can be used to determine the number of bacteria y in the culture after t hours.
The number of bacteria y in the culture after x hours will be y = 50(2)ˣ.
What is exponential growth ?An exponential function faster and faster after every next value of the independent variable.
According to the given question the number of bacteria in a culture is increasing according to the law of exponential growth. after 3 hours, there are 400 bacteria, and after 6 hours, there are 3,200 bacteria.
We use the exponential growth equation y = arˣ where a is the initial value and r is common ratio and x represents time.
so 400=ar^3...(i) and 3200= ar^6...(i)
Dividing equation (ii) by equation (i) and solve for r we get r³ so r =2
substitute r into first equation 400=a(2)³
8a = 400.
a = 50.
∴ The no. of bacteria at any given time x will be. ( t is replaced by x)
y = 50(2)ˣ.
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I will give brainliest to person who answers and double points!!!!
Answer:
x=17 3y=13+10-3
x=17y=20
Step-by-step explanation:
answer to the questions
Answer:
x = 3 y = 46
Step-by-step explanation:
8x+13 = 9x+10
-8x -8x
13 = x+10
-10 -10
3 = x
180-37 = 143
3y+5 = 143
-5 -5
3y = 138
/3 /3
y = 46
How many liters would a 5 kilolitre JoJo tank hold
Answer:
5000 litres
Step-by-step explanation:
1 kilolitre is 1000 litres
Answer: The tank would hold 5000 Liters
Given x is the midpoint of line WY, wx is congruent to xz
Prove line xy is congruent to line xz
Give statements and reasons
The two column proof is completed by the substitution property of equality, which gives;
WX = XZ
XY = XZ
[tex] \overline{XY} \cong \overline{XZ}[/tex]How can the congruency of the required segments be proven?The completed two column table is presented as follows;
Statement. Reasons
1. X is the midpoint of [tex] \overline{WY}[/tex]. 1. Given
2. WX = XY 2. Definition of midpoint
3. [tex] \overline{WX} \cong \overline{XZ}[/tex]. 3. Given
4. WX = XZ 4. Definition of midpoint
5. XY = XZ 5. Substitution property of equality
6. [tex] \overline{XY} \cong \overline{XZ}[/tex] 6. Definition of congruency
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Write an equation in point-slope form
Answer:
y = -4/3x + 2
Step-by-step explanation:
Point slope form is this:
y - y1 = m (x - x1)
Where m is the slope. y1 and x1 are where you put your coordinates.
so now we just plug it in.
y - (-2) = -4/3 (x - 3)
We should clean it up in order to make it look like this equation: y = mx + b
y + 2 = -4/3x -4/3(-3)
y + 2 = -4/3x + 4
y = -4/3x + 2
Rafael is building a frame in the shape of a square. The area of the frame is 40 square inches. Find the length of the side of the frame to the nearest inch.
The length of the side of the frame will be 6.33 to the nearest inch.
What is the area of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.
Then the area of the square would be;
Area of the square = a² square units
We have been given that Rafael is constructing a square-shaped frame. And the frame has a 40 square inches surface area.
A = a²
40 = a²
a = √40
a = 6.33 inches
Hence, The length of the side of the frame to the nearest inches will be 6.33 to the nearest inch.
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please help its a proof question look at the image
given triangle ABC, prove CE=1/2 BD
use this formula and solve the question
AREA OF BASE = 1 by 2 ×base × Height
how to work out 2x>7
[tex] \: \: \: \: \: \: \: \bf\implies \: x > \frac{7}{2} [/tex]
Step-by-step explanation:[tex] \tt \mapsto2x > 7 \\ \tt \mapsto 2x = 7 \\ \ \ \tt \mapsto x = \frac{7}{2} \\ \tt \mapsto x > \frac{7}{2} [/tex]
[tex]- \sqrt{64}[/tex]
The value of the square root of 64 is -8
Square root integersAn integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
The square root of a number is the values that will can multiply twice to give the resulting value in the root.
Given the expression below:
- √64
Since the square root of 64 is 8, hence;
-√64 = -1 * √64
-√64 = -8
Hence the value of the square root of 64 is -8
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find the number represented by the prime factorization 2^3 10^2
Answer:800
Step-by-step explanation:
2×2×2×10×10=800
Answer:
2^3*3^2=72
Step-by-step explanation:
Evaluate a + b² if a = -3 and b = 6.
117
Answer: 33
Step-by-step explanation:
(-3)+(6)^2
-3+36
33 (Answer)
there are only 6 blue pens 5 green pens and 8 red pens in a box one pen is taken randomly from the box write down the probability that this pen is blue
Answer:
6/19
Step-by-step explanation:
19 = total pens (blue pens + green pens + red pens)
6 = total number of blue pens
1.5.PS-21 Challenge Yossi used to have a square garage with 314 ft² of floor space. He recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side? One side of the garage was originally 17.7 ft long. (Round to the nearest tenth as needed.) ft long. Question Help One side of the garage is now (Round to the nearest tenth as needed) Enter your answer in the answer box and then click Check Answer. -
Required values:
The length of one side of the garage was originally 17.7 ft long
The length of one of the sides of the garage is now 21.7 ft long
The percentage increase in length is 22.5%.
Given parameters are;
The area of the square garage is 314 ft.²
The area of the new garage has 50% more space
Required;
Initial side length:
The initial side length, given to the nearest tenth, s, is the square root of the area, A, given as follows;
s = √(314 ft.²) ≈ 17.7 ft.
New Side length:
The side was increased by 50%, to give,
314 + 0.5×314 = 471
The new area of the garage = 471 ft.²
The side length of the new garage, s = √(471) ≈ 21.7 ft
The side of the garage now is 21.7 ft.
Percentage increase in length:
The percentage increase is given as follows;
% increase in length
= new side length - old side length / old side length * 100
= 21.7 - 17.7 / 17.7 *100
= 22.5 %
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What is Missing?
Fill in the circles with the missing information. Then place the area on the spaces provided as both a sum
and a product. 4 points each
21. Area as sum = 12x + 60
Area as Product = 12(x + 5)
22. Area as sum = 5x + 20
Area as Product = 5(x + 4)
How to Find the Area of a Rectangle as a Sum and as a Product?As a product, we can multiply the height and the base of the rectangle.
As a sum, we can find the area finding the sum of the areas of each pieces of the rectangle.
The missing pieces of that will fill into the circles is shown in the diagram attached below. Therefore, we would have the following:
21. Area as sum = 12x + 60
Area as Product = 12(x + 5)
22. Area as sum = 5x + 20
Area as Product = 5(x + 4)
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Can someone help me solve all of the questions on this pdf?
Answer:
sure y not
Step-by-step explanation:
basta alam ko y not hindi
the product of a four and a number minus 10.
Answer:
14
Explanation:
14 - 10 = 4
the product is 4 and its a number thats subtracting 10
Solve for × 3×+2=32
Answer: x = 10
Step-by-step explanation:
3(10) = 30 +2 + 32
Three lakes lost water during a drought. lake jensen lost one sixth of its water, lake parlow lost 26% of its water, and lake stockton lost thirty three two hundredths of its water. which lake lost the least amount of water?
If three lakes lost water during a drought, lake Jensen lost one-sixth of its water, lake Parlow lost 26% of its water, and lake Stockton lost thirty-three two-hundredths of its water, then the lake that lost the least amount of water is lake Stockton.
The lake that lost the least amount of water can be determined by converting the amounts lost by each of the lakes into percentage form.
As lake Jensen lost one-sixth of its water, it can be written in percentage form as,
Lake Jensen = 1/6 × 100 = 100/6 = 16.67 %
As given, Lake Parlow lost 26%
Lake Parlow = 26%
As Lake Stockton lost thirty-three two-hundredths, it can be written in percentage form as,
Lake Stockton = 33/200 × 100 = 0.165 × 100 = 16.5 %
Thus, the least percentage of water lost is 16.5% by lake Stockton.
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