The equation that represents Jacob's age is x = y + z + 2
From the question, the following information was provided :
Jacob's age is two years more than the sum of the ages of his siblings Becky and Micah.
This above information can be represented with the equation below
Jacob = 2 + ( Becky + Micah) (equation 1)
If :
x represents Jacob's age
y represents Micah's age
z represents Becky's age
Equation 1, can be rewritten as x = y + z + 2
Micah's age can be determined by making Micah the subject of the formula in the above equation
Micah = Jacob - Becky - 2 (equation 2)
If :
x represents Micah's age
y represents Becky's age
z represents Jacob's age
Micah's age can be rewritten as :
x = z - y - 2
Becky's age age can be determined by making Becky the subject of the formula in the first equation.
Becky = Jacob - Micah - 2 (equation 3)
If:
x represents Becky's age
y represents Jacob's age
z represents Micah's age
Equation 3 can be rewritten as :
x = y - z - 2
Check here for a related question : https://brainly.com/question/21843246?referrer=searchResults
Using a system of equations, it is found that the correct equation is given by:
[tex]x = y + z + 2[/tex], which is option B.
---------------
Jacob's age is given by x.Becky's age is given by y.Micah's age is given by z.Considering that Jacob's is 2 years older than Becky's and Micah's combined, which is of y + z, his age is represented by the following equation:[tex]x = y + z + 2[/tex]
Which is given by option B.
A similar problem is given at https://brainly.com/question/24233433
need help pls will give you 5 stars
Answer:
f(x + k)
Step-by-step explanation:
A horizontal shift moves to the left or right
y = f(x + k) k > 0 moves it left
k < 0 moves it right
Figure ABCD is a rectangle with point A (−2, 5). What rule would rotate the figure 90° clockwise?
Answer:
(5,2)
Step-by-step explanation:
The 90° clockwise rule (for around the origin) is: [tex](x,y)\rightarrow(y,-x)[/tex]
Apply the rule to point A:
[tex]\left \{ {(-2,5)\rightarrow(5,2)} \atop {(x,y)\rightarrow(y,-x)}} \right.[/tex]
A' should be (5,2).
Answer:
Step-by-step explanation:
The general rule for rotation of an object 90 degrees is (x, y) to (-y, x)
so for point A(-2,5), A' will be (5,2)
to find the new
X=xcos(θ)+ysin(θ)
X=-2(cos90)+5sin90 ( cos90=0, sin 90=1)
X=5to find the new
Y=−xsin(θ)+ycos(θ)
Y=-(-2)sin90+5cos90
Y=2HELPP PLEASE I’ll give a brainlist
You know that the average college student eats 0.75 pounds of food at lunch. If the standard deviation is 0.2 pounds of food, then what is the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food when feeding 50 college students?
Answer: $53.95
Step-by-step explanation:
Given: [tex]\mu=0.75[/tex] pounds
[tex]\sigma= 0.2[/tex] pounds
n= 50
Two tailed critical z-value for 90% confidence level = 1.645
Let x be the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food .
z-score = [tex]\dfrac{x-\mu}{\sigma}[/tex] [tex]=\dfrac{x-0.75}{0.2}[/tex]
Then, [tex]\dfrac{x-0.75}{0.2}=1.645[/tex]
[tex]x-0.75=1.645\times0.2\\\\\Riightarrow\ x-0.75=0.329\\\\\Rightarrow\ x= 0.329+0.75\\\\\Rightarrow\ x= 1.079[/tex]
Foe 50 students, total amount of food = 1.079 x 50 = $53.95
hence, the cafeteria should have food of amount $53.95 so that it is be 90 percent confident that it will not run out of food.
Sandy's older sister was given $2,400 and was told to keep the balance of the money after sharing with her siblings. Give Sandy exactly $350. Write Sandy's portion
Answer:
Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]
Step-by-step explanation:
Sandy's older sister was given $2,400
She was told to keep the balance of the money after sharing with her siblings.
She gave Sandy exactly $350
The objective is to write Sandy's portion.
Sandy's portion will be the ratio of the amount given to Sandy divided by the total amount at her sister disposal.
Let Sandy's older sister be y,
So, y = 2400
Sandy's portion = [tex]\dfrac{350}{2400}[/tex]
Sandy's portion = [tex]\dfrac{35}{240}[/tex]
Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]
make u the subject of the formula
u-x/v-x=u/v²
Answer:
See below.
Step-by-step explanation:
[tex]\frac{u-x}{v-x}=\frac{u}{v^2} \\[/tex]
Cross multiply and distribute.
[tex]u(v-x)=v^2(u-x)\\uv-ux=uv^2-xv^2[/tex]
Move all the u to the left side:
[tex]uv-ux-uv^2=-xv^2[/tex]
Factor out a u:
[tex]u(v-x-v^2)=-xv^2[/tex]
Divide:
[tex]u=\frac{-xv^2}{v-x-v^2}=\frac{xv^2}{x+v^2-v}[/tex]
(I factored out a negative in the second term.)
Which expression is equivalent to 125x6, 1533?
Answer:
511 x 3 = 1533
Step-by-step explanation:
here's another:
219 x 7
hope this helpes
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of
lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus.
What is the total cost of oil that he uses in the 5 batches of his recipe?
The correct answer is $15
Explanation:
The first step is to determine the total of oil that was used for the 5 batches. To find this, you just need to multiply the amount of oil used for one batch by the total batches.
1 cup of oil per batch x 5 batches = 5 cups of oil
This means, in the 5 batches the oil Dinesh used was 5 cups of oil. Additionally, you know the total of cups in the bottle of oil is 12 cups, and these 12 cups or total costs $36. Now to find what is the cost of the 5 cups use the rule of three and cross multiplication.
12 cups of oil = $36 1. Write the values
5 cups of oil = x
12 x = 180 2. Cross multiply this means 36x 5 and 12 multipy by x
x = 180 ÷ 12 3. Solve the equation
x= 15 - Cost for 5 cups used in the batches
The basic unit in which data are stored in an accounting system is called an __________. These storage units should be so constructed as to readily receive money measurements of the __________ or ___________ in the items for which they are established. The basic unit in which data are stored in an accounting system is called an __________. These storage units should be so constructed as to readily receive money measurements of the __________ or ___________ in the items for which they are established.
Answer:
an accounts; credit or debit.
Step-by-step explanation:
Remember, accounting involves activities done to keep financial records. Interestingly, a similar term is used to refer to the basic unit in which data are stored in an accounting system called accounts.
Also, we need to bear in mind that this financial records written as storage units would include incoming or outgoing money measurements often called debit or credit transactions in the items for which they are established.
Jacob is playing a game where he earns 3 points for a correct answer and loses 2 points for an incorrect answer. He
currently has 6 points. What situation would end with him breaking even?
Answer:
Step-by-step explanation:
If he answers the next 3 questions incorrectly he will break even:
6 - 3(2) = 0.
Answer:
C. answering the last two questions correctly
Step-by-step explanation:
Did it on edge, hope this helps :) Brainliest?
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V
i need help please i give 5 stars ;(
Answer:
D. [tex]\sqrt{\frac{2*2*2*2*3}{5*5*7} }[/tex]
Step-by-step explanation:
48 divided by 2 is 24. Insert the 2.
24 divided by 2 is 12. Insert the 2.
12 divided by 2 is 6. Insert the 2.
6 divided by 2 is 3. Insert the 2 and 3:
[tex]48=2*2*2*2*3[/tex]
175 divided by 5 is 35. Insert the 5.
35 divided by 5 is 7. Insert the 5 and 7:
[tex]175=5*5*7[/tex]
:Done
What are the factors of the quadratic function represented by this graph?
A.
(x − 1) and (x − 5)
B.
(x + 1) and (x + 5)
C.
(x − 1) and (x + 5)
D.
(x + 1) and (x − 5)
The factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.
What is quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^2 + bx + c = 0,[/tex]
Here in the graph we can see that the x coordinate cut by the curve of the quadratic equation is in the negative side of x at -1 and -5.
So the factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.
To know more about quadratic equation follow
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Answer:
Check Screenshot
Step-by-step explanation:
The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fraction of employees answered less than of their incoming calls before the second ring?
Answer:
1/6
Step-by-step explanation:
People who answered less than 1/2 were: 2 + 1 + 3 = 6 people.
There are a total of 36 people.
People who answered their calls before the second ring were only 6/36.
When we simplify the fraction, we get 1/6.
So, the answer is 1/6.
Hunter is copying an angle. His work so far follows. Explain the importance of his next step, which is drawing a line through A and Y using a straightedge.
This is to check to make sure that A is in the right place, since it was drawn using the arcs.
Using a straightedge ensures that there is a line passes through A and Y.
Because a line was drawn through point L, a similar line should be drawn through the corresponding point on ∠AYZ.
This is the other ray that will make up the angle ∠AYZ and will complete the construction.
Answer:
This is the other ray that will make up the angle ∠AYZ and will complete the construction.
Step-by-step explanation:
The point of the construction is to copy the angle. That is, the end result must be an angle with identical measure to the original. The construction so far has no angle at Y. Drawing ray YA will complete the construction and create the desired angle. That is, YA ...
This is the other ray that will make up the angle ∠AYZ and will complete the construction.
40 POINTS!!!!
ANSWER ASAP!!!
What is the value of y?
O 3 sqrt 3 units
O 6 sqrt 3 units
O 9 sqrt 3 units
O 12 sqrt 3 units
Answer:
6 sqrt(3) = y
Step-by-step explanation:
We can use the leg rule to find y
hyp leg
----- = -------
leg part
9+3 y
----- = -------
y 9
Using cross products
12*9 = y^2
108 = y^2
Taking the square root of each side
sqrt(108) = sqrt(y^2)
sqrt(36 *3) = y
6 sqrt(3) = y
Answer: B) 6/3 units
Step-by-step explanation:
A box contain 12 balls in which 4 are white 3blue and 5 are red.3 balls are drawn at random from the box. Find the chance that all three balls are of different colour
Answer:
white: 1/3, blue: 1/4, red: 5/12
Step-by-step explanation:
Take the amount of balls each color has and divide by 12.
White:
4/12 = 1/3
Blue:
3/12 = 1/4
Red:
5/12 (can't simplify)
Answer:
3/44 or 0.068
Step-by-step explanation:
(3/12 × 2/11 × 1/10)+(5/12 × 4/11 × 3/10)+(4/12 × 3/11 × 2/10)
=3/44
Usha had a balance of -$84. She worked for 6 days and put half the money in the bank. Now she has a balance of -$45. How much does Usha get paid each day for newspaper delivery?
Answer:
$13
Step-by-step explanation:
First, find how much she put into the bank:
84 - 45 = $39
Then, multiply this by 2 to find how much she made, because this was half of the money she got:
39(2) = 78
Then, divide this by 6 to find how much she makes a day:
78/6 = 13
= $13
A certain pole has a cylinder-like shape, where the base's radius is 10 centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?
Answer:
2 pi •10•210
Step-by-step explanation:
Khan academy
What is the measure of circumscribed LX?
O 45°
O 50°
O 90°
O 950
Answer:
90°
Step-by-step explanation:
The angle a tangent makes with a radius at the point of tangency is 90 deg.
There are three 90-deg angles in the quadrilateral, so the 4th angle must also measure 90 deg.
Answer: 90°
Based on the tangent theorem the measure of the circumscribed ∠X is: 90°.
What is the Tangent Theorem?The tangent theorem states that an angle of 90 degrees is formed at the point of tangency where a tangent meets the radius of a circle.
YX and WX are tangents of the circle.
m∠Y = m∠W = 90°
Sum of interior angles of a quadrilateral is 360°
m∠X = 360 - 90 - 90 - 90
m∠X = 90°
Therefore, based on the tangent theorem the measure of the circumscribed ∠X is: 90°.
Learn more about the tangent theorem on:
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Triangle A' B' C' is a dilation of a triangle ABC. The scale factor is [tex]\frac{3}{4}[/tex]. Point B is 11 inches away from the center of dilation is point B'?
Answer:
None of the options are correct
Step-by-step explanation:
Let us assume point B is at (x, y) and the center of dilation is at (a, b). Therefore the distance between the two points is:
[tex]Distance =\sqrt{(b-y)^2+(a-x)^2}=11 \\\\\sqrt{(b-y)^2+(a-x)^2}=11[/tex]
If Triangle ABC is then dilated by 3/4, the new coordinate is B'(3/4 (x-a) + a, 3/4 (y - b) + b). The distance between B' and the center of dilation would be:
[tex]Distance =\sqrt{(b-[\frac{3}{4}( y-b)+b])^2+(a-[\frac{3}{4} (x-a)+a])^2}[/tex]
Therefore the distance cannot be gotten until the center of dilation is given
Help ASAP please show work I need this done ASAP
Answer:
Step-by-step explanation:
Graph shows the distance traveled by a biker as a function of time.
Velocity of the biker changes in the different intervals.
1). In the interval 0 < t < 2, biker is moving with a constant velocity.
Velocity = [tex]\frac{\text{Displacement}}{\text{Time}}[/tex]
= [tex]\frac{0-4}{0-2}[/tex]
= 2 km per hour
2). In the interval 2 < t < 5,
Velocity = [tex]\frac{4-4}{4-2}[/tex]
= 0
Therefore, biker stopped between 2 to 5 hours.
3). In the interval 5 < t < 6,
Velocity = [tex]\frac{\triangle x}{\triangle t}[/tex]
= [tex]\frac{4-3}{6-5}[/tex]
= 1 km per hour
4). In the interval 6 < t < 7,
Velocity = [tex]\frac{6-3}{7-6}[/tex]
= 3 km per hour
Which pair of parallelograms is similar?
Answer:
EFGH ~ IJKL
Step-by-step explanation:
There sides are both parallel.
Hope this helped you :)
6x + 11 + 3x .........................................
Answer: I'm assuming you want this problem simplified.
6x + 11 + 3x
Combine like terms: 9x + 11
Your expression now looks like: 9x + 11
There is nothing left to simplify, so you're done!
Hope this helps!
Answer:
9x+11
Step-by-step explanation:
6x + 11 + 3x
Combine like terms
9x+11
(01.02 HC)Morris is showing his work in simplifying (−6.7 + 4.3) − 1.2. Step 1: (4.3 − 6.7) − 1.2 Step 2: 4.3 − (6.7 + 1.2) Step 3: 4.3 − (7.9) Step 4: −3.6
Answer:
Option (C)
Step-by-step explanation:
This question is incomplete; here is the complete question.
Morris is showing his work in simplifying,
(-6.7 + 4.3) - 1.2
Step 1: (4.3 - 6.7) - 1.2
Step 2: 4.3 - (6.7 + 1.2)
Step 3: 4.3 - 7.9
Step 4: -3.6
Which statement is true ?
A). Step 1, Morris used the commutative property.
B). Step 2, Morris used the distributive property.
C). Step 3, Morris used the associative property.
D). Step 4, Morris's answer is incorrect.
In associative property,
a + (b + c) = (a + b) + c
By this property,
(-6.7 + 4.3) - 1.2
Step 1, (-6.7 + 4.3) - 1.2 = (4.3 - 6.7) - 1.2
Step 2, (4.3 - 6.7) - 1.2 = 4.3 - (6.7 + 1.2) [Use of associative property]
Step 3, 4.3 - 7.9
Step 4, -3.6
Evaluate the expression using the values in the left column to complete the table
Answer/Step-by-step explanation:
A. [tex] 4b + 3b [/tex]
Using b = 2
[tex] 4(2) + 3(2) = 8 + 6 = 14 [/tex]
Using b = 4
[tex] 4(4) + 3(4) = 16 + 12 = 28 [/tex]
Using b = 6
[tex] 4(6) + 3(6) = 24 + 18 = 42 [/tex]
Using b = 8
[tex] 4(8) + 3(8) = 32 + 24 = 56 [/tex]
Using b = 10
[tex] 4(10) + 3(10) = 40 + 30 = 70 [/tex]
Using b = 2
[tex] 4(12) + 3(12) = 48 + 36 = 84 [/tex]
B. [tex] 3(x - 2) [/tex]
Using x = 3
[tex] 3(3 - 2) = 3(1) = 3 [/tex]
Using x = 5
[tex] 3(5 - 2) = 3(3) = 9 [/tex]
Using x = 7
[tex] 3(7 - 2) = 3(5) = 15 [/tex]
Using x = 9
[tex] 3(9 - 2) = 3(7) = 21 [/tex]
Using x = 11
[tex] 3(11 - 2) = 3(9) = 27 [/tex]
Using x = 13
[tex] 3(13 - 2) = 3(11) = 33 [/tex]
C. [tex] 5(4a - 1) [/tex]
Using a = 2
[tex] 5(4(2) - 1) = 5(8 - 1) = 5(7) = 35 [/tex]
Using a = 3
[tex] 5(4(3) - 1) = 5(12 - 1) = 5(11) = 55 [/tex]
Using a = 4
[tex] 5(4(4) - 1) = 5(16 - 1) = 5(15) = 75 [/tex]
Using a = 5
[tex] 5(4(5) - 1) = 5(20 - 1) = 5(19) = 95 [/tex]
Using a = 6
[tex] 5(4(6) - 1) = 5(24 - 1) = 5(23) = 115 [/tex]
Using a = 7
[tex] 5(4(7) - 1) = 5(28 - 1) = 5(27) = 135 [/tex]
D. [tex] 6y - 2y + 4 [/tex]
Using y = 2
[tex] 6(2) - 2(2) + 4 = 12 - 4 + 4 = 12 [/tex]
Using y = 3
[tex] 6(3) - 2(3) + 4 = 18 - 6 + 4 = 18 - 2 = 16 [/tex]
Using y = 5
[tex] 6(5) - 2(5) + 4 = 30 - 10 + 4 = 30 - 6 = 24 [/tex]
Using y = 10
[tex] 6(10) - 2(10) + 4 = 60 - 20 + 4 = 60 - 16 = 44 [/tex]
Using y = 8
[tex] 6(8) - 2(8) + 4 = 48 - 16 + 4 = 48 - 12 = 36 [/tex]
Using y = 6
[tex] 6(6) - 2(6) + 4 = 36 - 12 + 4 = 36 - 8 = 28 [/tex]
13) The diameter of a plant cell is 1.26 m and the length of a bacterium is 5.1 m. Compare their diameters.
Answer:
The diameter of the bacterium is 4.05 times the diameter of the plant cell
Step-by-step explanation:
Given
The given parameters both represent diameters
Plant Cell; P = 1.26m
Bacterium; B = 5.1m
Required
Compare both diameters;
Write out both expressions
[tex]P = 1.26[/tex]
[tex]B = 5.1[/tex]
Divide B by P
[tex]\frac{B}{P} = \frac{5.1}{1.26}[/tex]
[tex]\frac{B}{P} = 4.04761904762[/tex]
Approximate
[tex]\frac{B}{P} = 4.05[/tex]
Multiply both sides by P
[tex]P * \frac{B}{P} = 4.05 * P[/tex]
[tex]B = 4.05 * P[/tex]
[tex]B = 4.05P[/tex]
This implies that;
The diameter of the bacterium is 4.05 times the diameter of the plant cell
Which of the following are not natural numbers? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. A.)−1,−2,−3,… B.) 0 C.) 1,2,3,… D.) only E.) fractions
Answer:
A,E
Step-by-step explanation:
Natural numbers include the normal counting number like 1, 2, 3, and so on and also 0.
B) does not work as negative numbers are not numbers we start counting in
E) does not work as we don't count in fractions
What is the square root of 48? what is the square root of 1/49 ? what is the square root of 4/100 ?
Answer:
Step-by-step explanation:
√48 = √(3*16) = 4√3
√1
√(1/49) = ------- = 1/7
√49
√4
√(4/100) = --------------- = ±2/10 =
√100
16. Expand (2x - 1)(x - 3).
A. 2x2 - 7X+3 B. 2x2 +7x+3
C. 2x2-7X-3 D. 2x2+7X-3 E. x2+7X-3
Answer:
Hey there!
[tex](2x-1)(x-3)[/tex]
[tex]2x^2-1x-6x+3[/tex]
[tex]2x^2-7x+3[/tex]
Hope this helps :)
Answer:
see below
Step-by-step explanation:
the simple answer is a if you need an explanation just comment
help! ill give brainliest
Answer:
84 square inches is the correct answer.
Step-by-step explanation:
I am 100% sure of that.
Hope this helps....
Have a nice day!!!!
