Answers
Answer:
a) x+3=19
Step-by-step explanation:
a)
x is the age of Ronald , Collin is three years older than Ronald , so if we add up x(Ronald's age) and 3(the difference between both of their ages), we would get Collin's age(19) . That is the explanation for this equation.
b)
x+3=19
x=19-3
x=16
thus , x is 16 , in other words , Ronald's age is 16.
Related Questions
When an object is removed from a furnace and placed in an environment with a constant temperature of 70°F, its core temperature is 1500°F. One hour after it is removed, the core temperature is 1170°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.)
Answers
Answer:45 I think
Step-by-step explanation:
Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel. What is the length of Line segment G D? please help!
Answers
Answer:
5.5
Step-by-step explanation:
Picture Proof
Answer: 5.5 : ) ~ Hope you have a great day!
Please help me with this! Be very grateful.
Answers
Answer:
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Step-by-step explanation:
Total surface area: 36
Ratio is 2:1
So, 2x + 1x = 36
3x=36
x=36/3
x=12
2*12=24
1*12=12
So areas are 24 and 12 respectively
Now, we can say that the sides of the square will be same, 6 cm
6*6=36
so the length of both rectangles will be 6
Hence we can divide each area by 6 and find the breadth.
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Stay safe and stay cool
Hope it helps you.
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What is the difference of
[tex]( \frac{3}{4} x - \frac{2}{3} ) - ( - \frac{5}{6} + 2x)[/tex]
?
[tex] - \frac{5}{4} x + \frac{1}{6} [/tex]
[tex] - \frac{5}{4} x - \frac{1}{6} [/tex]
[tex] \frac{11}{4} x + \frac{1}{6} [/tex]
[tex] \frac{11}{4} x - \frac{1}{6} [/tex]
Answers
Answer:
The first option: -5/4x + 1/6.
Step-by-step explanation:
(3/4x - 2/3) - (-5/6 + 2x)
= (3/4x - 2/3) + 5/6 - 2x
= 3/4x - 2x - 2/3 + 5/6
= 3/4x - 8/4x - 4/6 + 5/6
= -5/4x + 1/6
So, the first option: -5/4x + 1/6.
Hope this helps!
The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached
Answers
In the 5th year
Step-by-step explanation:For the first year, the salary is 1.2million = 1,200,000
For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000
.
.
.
For the last year, the salary is 1.5million = 1,500,000
This gives the following sequence...
1,200,000 1,275,000 . . . 1,500,000
This follows an arithmetic progression with an increment of 75,000.
Remember that,
The last term, L, of an arithmetic progression is given by;
L = a + (n - 1)d ---------------(i)
Where;
a = first term of the sequence
n = number of terms in the sequence (which is the number of years)
d = the common difference or increment of the sequence
From the given sequence,
a = 1,200,000 [which is the first salary]
d = 75,000 [which is the increment in salary]
L = 1,500,000 [which is the maximum salary]
Substitute these values into equation (i) as follows;
1,500,000 = 1,200,00 + (n - 1) 75,000
1,500,000 - 1,200,000 = 75,000(n-1)
300,000 = 75,000(n - 1)
[tex]\frac{300,000}{75,000} = n - 1[/tex]
4 = n - 1
n = 5
Therefore, in the 5th year the maximum salary will be reached.
A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree. 1. 122 = 112 + 62 − 2(11)(6)cos(Y) 2. 144 = 121 + 36 − (132)cos(Y) 3. 144 = 157 − (132)cos(Y) 4. −13 = −(132)cos(Y)
Answers
Answer:
[tex]Y\approx 84^\circ $(to the nearest angle)[/tex]
Step-by-step explanation:
The lengths of the sides of the scalene triangle are 6, 11, and 12.
We want to use the law of cosines to find the largest angle.
Note that the largest angle is always opposite the largest side.
Therefore:
[tex]1. 12^2 = 11^2 + 6^2-2(11)(6)\cos(Y) \\\\2. 144 = 121 + 36-(132)\cos(Y) \\\\3. 144 = 157 - (132)\cos(Y) \\\\4. -13 = -(132)\cos(Y)\\\\\\5. \cos(Y) = \dfrac{-13}{-132} \\\\6. Y = \arccos \left ( \dfrac{13}{132}\right)\\\\7. Y=84.35^\circ\\\\8. Y\approx 84^\circ $(to the nearest angle)[/tex]
The largest angle is 84 degrees to the nearest angle.
A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. Claim amounts are uniformly distributed on the interval [0,60] and are independent. The insurer covers 100% of each claim. Calculate the probability that the total benefit paid to the policyholder is 48 or less.
Answers
Answer:
0.89.
Step-by-step explanation:
So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;
(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."
(2). " distributed on the interval [0,60] and are independent."
(3). "The insurer covers 100% of each claim."
So, taking (1) above we will have;
(Total probability= 0.7 + 0.2 + 0.1 = 0.1)
A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.
0.8 + total probability = 0.8 + 0.1 = 0.9.
So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."
Hence, P< 48/A = P < 48/0.9 = P < 53.33.
Thus, 53.33/60 = 0.89.
A man from a village X on a bearing of 060 degree to a village Y which is 20km away.From Y,he travels to a village Z,on a bearing of 195 degree. If Z is directly east of X , calculate, correct to three significant figure the distance of Y from Z and Z from X
Answers
Distance from Y to Z is 10.4 km and Z to X is 20 km
What is Distance?Distance is a numerical measurement of how far apart objects or points are.
What is Triangle?A triangle is a polygon with three edges and three vertices.
From the given data plot the graph,
Then,
∠XYZ=∠YZX=75 degrees
Therefore XY=XZ=20 km
[tex]YZ^{2}=20^{2} +20^{2} -2(20)(20)cos30[/tex]
YZ=10.4 km
Hence, Distance from Y to Z is 10.4 km and Z to X is 20 km
Learn more about Distance and Triangle here
https://brainly.com/question/18826122
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Answer:
Step-by-step explanation:
factor 20r+60t to identify the equivalent expression
Answers
Answer:
[tex]\boxed{20(r + 3t)}[/tex]
Step-by-step explanation:
[tex]20r + 60t[/tex]
Factor out 20 from the expression.
[tex]20(r) + 20(3t)[/tex]
Take 20 as common.
[tex]20(r + 3t)[/tex]
check all the answers of a present the same level precision. A) 22.543 B) 98.4 C) 0.264 D) 1.04
Answers
Answer:
A,and C
Step-by-step explanation:
A and C have the same level precision , they have three significant digit
Express ⁴/100 as a decimal fraction
Answers
Answer:
To do that you must divide 4 by 100
Step-by-step explanation:
4 divided by 100 is 0.04
Answer:
4/100
Run two decimal places forward
that's
0.04
Hope this helps you
24) The sum of Sh.51000 was shared among three partners; Amos, John and peter such that the ratio
of Amos : John = 4:3 while John: Peter = 2:1. Calculate the amount received by Peter. (3 marks)
Answers
Answer:
Sh. 9000
Step-by-step explanation:
John : Peter = 2 : 1
John/peter = 2/1
John = 2 Peter.... (1)
Amos : John = 4:3
Amos/John = 4/3
Amos = 4/3 John.. (2)
From (1) & (2)
Amos = 4/3 * 2 Peter = 8/3 Peter.... (3)
Since,
Amos + John + Peter = 51000
Therefore,
8/3 Peter + 2peter + Peter = 51000
(8+6+3)/3 *Peter = 51000
17/3 * Peter = 51000
Peter = 51000 * 3/17
Peter = 3000 * 3
Peter = 9000
Hence, amount received by Peter is Sh. 9000.
if y is an integer, find the value of y that satisfies both the linear inequalities y-2<2 and 3y+10>16
please give me calculation too tq
Answers
Answer:
Value of y = 3
Step-by-step explanation:
Given:
y-2<2 ........Eq1
3y+10>16.........Eq2
Find:
Value of y
Computation:
y-2<2
Add 2 both side,
y-2+2<2+2
y < 4
So y = (0,1,2,3)
Put y = 3 in both equation:
y-2<2
3-2<2
1<2
3y+10>16
3(3) + 10 >16
19>16
Both equation get satisfies by y = 3
So, Value of y is 3
The graph of y=4x[tex]x^{2}[/tex]-4x-1 is shown
Answers
Answer:
i.) (-0.25, 0), (1.25, 0)
ii.) (0.5, 2), (1.5, 2)
Step-by-step explanation:
For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.
For ii, it is asking for the x-values when y = 2.
Can someone please help me I really need help please help me thank you
Answers
Answer:
We can call the supplementary angle of x as (180 - x)°. Since the lines are parallel, 61° and (180 - x)° are congruent because they are alternate interior angles. We can write:
61 = 180 - x
-119 = -x
x = 119°
please help me with this question and I'll give u a brainlist for the correct ans. thank you
Answers
Answer:
least value of n =4
Step-by-step explanation:
i hope the screenshot of my work broken down step by step helps
A shark is 80 feet below the surface of the water. It swims up and jumps out of the water to a height of 15 feet above the surface. Find the vertical distance the shark travels.
Answers
Answer:
∆y = 95 ft
the vertical distance the shark travels is 95 ft
Step-by-step explanation:
Given;
Initial position y1= 80 ft below the surface of water = -80ft
Final Position y2 = 15 ft above the surface = +15ft
The vertical distance travelled by the shark is;
∆y = y2 - y1 = 15 - (-80) ft
∆y = 15 +80 ft
∆y = 95 ft
the vertical distance the shark travels is 95 ft
I need to find a b and c please help
Answers
Answer: a=4, b=16, c=12
Step-by-step explanation:
Use the intercept form: a(x - p)(x - q) where p & q are the intercepts.
Given: p = -3, q = -1, and y-intercept (c) = 12
a[x - (-3)][x - (-1)]
= a(x + 3)(x + 1)
= a(x² + 4x + 3)
= ax² + 4ax + 3a
y-intercept = 12
3a = 12
a = 4
Substitute a = 4
4x² + 4(4)x + 3(4)
= 4x² + 16x + 12
Select the correct answer from each drop-down menu. Simplify. √63
Answers
Answer:
√63 can be written as
√ 9 × 7 = √ 9 × √7 = 3 × √ 7
= 3√7
Hope this helps you
Answer: [tex]3\sqrt{7}[/tex]
Step-by-step explanation:
Separate [tex]\sqrt{63}[/tex] into [tex]\sqrt{7}[/tex] and [tex]\sqrt{9}[/tex]. Then simplify [tex]\sqrt{9}[/tex] into 3. Thus, the simplified version of [tex]\sqrt{63}[/tex] is [tex]3\sqrt{7}[/tex]
Without multiplying, order the following products from least to greatest. 23* 2/2 23* 1/4 23* 13/5
Answers
From least to greatest
23* 1/4, 23* 2/2, 23* 13/5
Explanation
In order to do this without multiplication, place the fractions in ascending order.
The denominators of these fractions have 20 as a common multiple.
2/2 • 10 = 20/20
1/4 • 5 = 5/20
13/5 • 4 = 52/20
From this it logically follows that the fractions in ascending order are:
1/4, 2/2, 13/5
Therefore the products in ascending order are:
23* 1/4, 23* 2/2, 23* 13/5
The sum of two numbers is 30. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?
Answers
Answer:
8 is the difference, and 19 and 11 are the numbers. Hope this helped!
Answer: The difference is 8.
Step-by-step explanation:
We will let l represent the larger number s represent the smaller number.
so we know that L + S =30
Also 2L - 3S = 5 shows the relationship between the numbers.
Now we have two equations.
L + S =30
2L - 3S = 5 solve using any method.
L + S =30 solve for L and substitute it into the second equation.
L + S = 30
-S -S
L = 30 -S
2(30-s) - 3s = 5 Distribute
60 - 2s - 3s = 5 combine like terms
60 -5s = 5
-60 -60
-5s = -55
s = 11
We know the smaller number is 11 so to find the larger number we will subtract 11 from 30.
30 -11 = 19
The larger number is 19
so To find the difference we will subtract 11 from 19.
19 -11 = 8
Lisa has 10 pencils. She gives two pencils to Anna and one pencil to Ben. What fraction of her pencils did she give away?
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]\frac{3}{10}[/tex]
▹ Step-by-Step Explanation
2 + 1 = 3
Written as → [tex]\frac{3}{10}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
[tex] \frac{3}{10} [/tex]Step-by-step explanation:
Total pencils that Lisa had = 10 pencils
Total pencils that Lisa had given to Anna and Ben:
=2+1
= 3
Now,
Fraction of her pencils that she gave away:
[tex] \frac{3}{10} [/tex]
Hope this helps...
Good luck on your assignment...
(02.01 MC) A talent show broadcast on television asks viewers to call in to vote for their favorite act. Describe how the design of the survey leads to bias. (4 points) Select one: a. A voluntary response error was made in this design. This type of sampling only targets people with phones to call in and is not a good representation of the population. b. A convenience sample error was made in this design. This type of sampling only targets people with televisions and is not a good representation of the population. c. A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population. d. A convenience sample error was made in this design. This type of sampling only targets people with access to that television channel and is not a good representation of the population. Incorrect e. There are no potential areas of bias.
Answers
Answer:
Option D is correct.
A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population.
Step-by-step explanation:
When humans are given the choice whether to participate in a survey like in this question, most often than not, the survey becomes biased.
This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the survey. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.
Discontent is more visibly and strongly expressed in humans.
In order to remove this bias, people should have been chosen at random and their responses recorded.
Hope this Helps!!!
Which of the following functions shows the quadratic parent function, F(x) =
x2, shifted left?
Answers
Answer: choice B
Step-by-step explanation:
just took the quiz
omm its B. G(x)=(x+8)^2
just took the test
Given: ∆ABC – iso. ∆, m∠BAC = 120° AH ⊥ BC , HD ⊥ AC AD = a cm, HD = b cm Find: P∆ABH
P = _____ cm
Answers
Answer:
P = 5.4641b cm.
Step-by-step explanation:
If the triangle ABC is isosceles and m∠BAC = 120°, we have that:
[tex]mACB = mABC = (180-120)/2 = 30\°[/tex]
Then, in triangle ABH, we have:
[tex]mABH + mBHA + mHAB = 180\°[/tex]
[tex]30\° + 90\° + mHAB = 180\°[/tex]
[tex]mHAB = 60\°[/tex]
If m∠BAC is 120°, we have:
[tex]mHAB + mHAC = 120\°[/tex]
[tex]m∠HAC = 60\°[/tex]
Now we can find the length of AH using the sine relation of angle m∠HAC:
[tex]sin(mHAC) = DH / AH[/tex]
[tex]0.866 = b / AH[/tex]
[tex]AH = b / 0.866 = 1.1547b[/tex]
Now, to find the length of HB and AB, we can use the tangent and cosine relation of the angle m∠HAB:
[tex]tan(mHAB) = HB / AH[/tex]
[tex]1.7321 = HB / 1.1547b[/tex]
[tex]HB = 1.7321 * 1.1547b = 2b[/tex]
[tex]cos(mHAB) = AH / AB[/tex]
[tex]0.5 = 1.1547b / AB[/tex]
[tex]AB = 1.1547b / 0.5 = 2.3094b[/tex]
So the perimeter of triangle ABH is:
[tex]P(ABH) = AB + HB + AH[/tex]
[tex]P(ABH) = 2.3094b + 2b + 1.1547b[/tex]
[tex]P(ABH) = 5.4641b[/tex]
The relation of a and b can be calculated using the tangent relation of the angle m∠HAC:
[tex]tan(mHAC) = DH / AD[/tex]
[tex]1.7321 = b / a[/tex]
[tex]b = 1.7321a[/tex]
Which expressions are equivalent to 10 over 10 3/4?
Answers
Answer:
There are no choices, but [tex]\frac{10}{10.75}[/tex] can be changes in the following ways: multiplying the numerator and the denominator by the same amount, or dividing the numerator and denominator by the same amount.
Hope it helps <3
Answer:
40/43
Step-by-step explanation:
The fraction
10
-----------------
10 3/4
can be simplified by converting 10 3/4 to the improper fraction 43/4:
10 10 40
----------------- = _______ = ----------
10 3/4 43/4 43
Next time, please share any answer choices that are given to you. Thank you.
Given \qquad m \angle AOC = 104^\circm∠AOC=104 ∘ m, angle, A, O, C, equals, 104, degrees \qquad m \angle AOB = 7x + 30^\circm∠AOB=7x+30 ∘ m, angle, A, O, B, equals, 7, x, plus, 30, degrees \qquad m \angle BOC = 9x + 42^\circm∠BOC=9x+42 ∘ m, angle, B, O, C, equals, 9, x, plus, 42, degrees Find m\angle BOCm∠BOCm, angle, B, O, C:
Answers
Answer:
∠BOC = 60°
Step-by-step explanation:
Given the following angles.
∠AOC=104°
∠AOB = (7x + 30)°
∠BOC= (9x + 42)°
Since all the angles have a common point at O, it can be inferred that;
∠AOC = ∠AOB + ∠BOC
104° = (7x + 30)° + (9x + 42)°
104° = 16x+72
16x = 104-72
16x = 32
x = 32/16
x = 2°
To get ∠BOC:
Since ∠BOC = 9x+42, we will substitute x = 2° into the equation to get the angle ∠BOC
∠BOC = 9(2) + 42
∠BOC = 18+42
∠BOC = 60°
One serving of pretzels contains 1.5 grams of fat. That is 3% of the daily amount recommended for a 2,000 calorie diet. How many grams of fat are recommended? Show your work.
Answers
Answer: 50 grams of fat
Step-by-step explanation:
From the question, we are informed that one serving of pretzels contains 1.5 grams of fat which is 3% of the daily amount recommended for a 2,000 calorie diet.
This means that we are expected to find the grams of fat for 100%. Since one serving of pretzels contains 1.5 grams of fat which is 3%, this means 1% will contain (1.5/3) = 0.5 grams of fat.
Therefore the grams of fat that are recommended will be:
= 100 × 0.5
= 50 grams of fat
Answer:
50 grams of fat
1.5 / 3 = 0.5
0.5 x 100 = 50
Step-by-step explanation:
Five times sum of a number, x,and nine is ten. What is the number?
Answers
Answer:
[tex]-7[/tex]
Step-by-step explanation:
[tex]5(x+9) = 10[/tex]
[tex]5x+45=10[/tex]
[tex]5x = -35[/tex]
[tex]x=-7[/tex]
Hope this helps.
Answer:
-7
Step-by-step explanation:
5(x + 9) = 10
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
...and is your order of operation.
First, divide 5 from both sides:
(5(x + 9))/5 = (10)/5
x + 9 = 10/5
x + 9 = 2
Next, isolate the variable x, by subtracting 9 from both sides:
x + 9 (-9) = 2 (-9)
x = 2 - 9
x = -7
x = -7 is your answer.
~
Answer the question below. Type your response in the space provided.
What is the surface area of the pyramid formed from the net shown here? The triangles are
equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one
decimal point and with the correct unit.
6 cm
Done
Clear
6 cm
6 cm
Answers
Answer:
[tex]62.4$ cm^2[/tex]
Step-by-step explanation:
The net of the triangular pyramid is attached below.
Since each of the faces is an equilateral triangle of side 6cm, the base of the pyramid will also be an equilateral triangle of side lengths 6cm .
In the equilateral triangles
Base = 6cmHeight =5.2 cmTherefore, the surface area of the pyramid formed from the net shown
= 4 X Area of One Triangular Face
[tex]=4 (\frac12 \times bh)\\=4 (\frac12 \times 6\times 5.2)\\=4(15.6)\\=62.4$ cm^2[/tex]