Christine has $20, Manuel has $60 and Henry has $29
let x be the amount Christine has then
Manuel has 3x and Henry x + 9
summing the amounts gives the equation
x + 3x + x + 9 = 109
5x + 9 = 109 ( subtract 9 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
thus Christine has $29, Manuel has (3 × 20 ) =$60 and
Henry has 20 + 9 = $29
check : 20 + 60 + 29 = 109
An adventure game has a number cube with 12 equal-size faces. Each face is labeled with a number from 1 to 12. What is the probability of rolling a 4 or a multiple of 5? Enter your answer as a fraction, in simplified form, in the box. $\text{Basic}$ $x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$$x\frac{ }{ }$$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
the probability is a ratio of number of relevant outcomes and total number of possible cases.
In this scenario, the relevant outcomes are
4, 5, 10 (and their count is 3)
and the total number of possible outcomes:
12
so the probability is
3/12 = 1/4
the answer is 3/12 cause when you divied 12 by 4 you will get 3 and we know that there is 12 faces on the cube so that gives you the ratio 3/12.
Complete the numbers sentence using <,>, or. |-5 .25| ____ |-8|
Two numbers have a sum of 50 If one number is p, express the other number in terms of p.
the other number is 50 - p
Consider a numeric example
2 numbers sum to 5 , one of the numbers is 3 what is the other ?
Obviously 2 , that is 5 - 3 = 2 gives the number
In the same way the number here is p and 50 - p is the other number
the difference between −5y+1 and 3y+2 is equal to −9. find y
Answer:
Step-by-step explanation:
(−5y+1) - (3y+2) = −9
(-5y-3y) + (1-2) = -9
-8y - 1 = -9
-8y = -8
y = 1
the difference between the 2 expressions is
- 5y + 1 - (3y + 2 ) = - 9
- 5y + 1 - 3y - 2 = - 9
- 8y - 1 = - 9 ( add 1 to both sides )
- 8y = - 8 ( divide both sides by - 8 )
y = 1
HURRY PLEASE! Which equation can be used to find the answer? A contractor needs 36 bags of cement to do a job. She already has 17 bags. How many more bags does she need to do the job? A. 2 · b = 36 b = 18 18 bags B. b + 17 = 36 b = 19 19 bags C. b ÷ 2 = 17 b = 34 34 bags D. b – 17 = 36 b = 53 53 bags
the answer is 53 bags
y=x vertical compression compression by a factor of 1/7 please compress the equation of y=x by a vertical compression of 1/7
Answer: y = 1/7(x) or y = x/7
Step-by-step explanation:
Hey there! Thank you for submitting your question to Brainly!
In order to vertically compress the equation y = x by 1/7, we would simply need to multiply x by 1/7. Therefore, this gives us the equation y=1/7(x) or y=x/7.
Hope this helps!! :)
A vertical compression by a factor of 1/7 to the equation y=x results in the new equation y=1/7x where each y-value of the original function is 1/7 of its original height.
Explanation:A vertical compression by a factor of 1/7 to the equation y=x results in the new equation y=1/7x. In vertical compression, each y-value of the original function is multiplied by the factor of compression, in this case, 1/7. Thus y=x becomes y=1/7x. This means for any x value in the original function, the corresponding y value in the new function is 1/7 of its original height. For example, where x was 1, y was also 1 for the original equation. In the new equation, when x is 1, y is now 1/7.
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Sum is 20 quotient is 4
To solve the equation, multiply both sides by 2 and simplify. The value of Qburgers is 5.
Explanation:The question involves solving an equation for the variable Qburgers.
Start by multiplying both sides of the equation by 2 to simplify it.After simplifying, you will be left with 4 times the number of Qburgers and 1 times the number of Qbus tickets equal to 20. Divide both sides of the equation by 4 to isolate and find the value of Qburgers.The value of Qburgers is 5.
an inch is 1/12 of a foot how much has a angelfish grown in a feet
To find out how much an angelfish has grown in feet, divide the number of inches by 12, since there are 12 inches in a foot. As an example, if an angelfish has grown 6 inches, it would be 6 inches / 12, equaling 0.5 feet.
Explanation:To convert a measurement from inches to feet, we use the fact that one foot is equal to 12 inches. For example, if an angelfish has grown 6 inches, we divide the number of inches by 12 to find the growth in feet:
Find the growth in inches (for example, 6 inches).Use the conversion factor, which is 1 foot = 12 inches.Divide the growth in inches by 12 to get the growth in feet. For 6 inches: 6 inches / 12 inches per foot = 0.5 feet.The angelfish has grown 0.5 feet.
Similarly, let’s convert 374 inches to feet as another example of going from a smaller unit to a larger unit:
Take the given number of inches and divide by 12 since there are 12 inches in a foot.374 inches divided by 12 equals 31(1/6) feet.The table shows the steps for solving the given inequality for x.
−2(3−2x)
Select the reason for each step from the drop-down menus.
-6 + 4x < x +3 : Distributive property
-6 + 3x < 3 : Subtraction property of inequality
3x < 9 : Addition property of inequality
x <3 : Division property of inequality
Answer:
[tex]-2(3-2x)<x+3[/tex] Given,
[tex]-6+4x<x+3[/tex]: Distributive property,
[tex]-6+3x<3[/tex]: Subtraction property of order,
[tex]3x<9[/tex]: Addition property of order,
[tex]x<3[/tex]: Division property of order.
Step-by-step explanation:
We have been given an inequality. We are asked to match each step for solving the equation with reason.
[tex]-2(3-2x)<x+3[/tex]
Using distributive property, we will get:
[tex]-2\cdot3-(-2)\cdot2x<x+3[/tex]
[tex]-6+4x<x+3[/tex]
Subtract x from both sides:
[tex]-6+4x-x<x-x+3[/tex]
[tex]-6+3x<3[/tex]
Add 6 on both sides:
[tex]-6+6+3x<3+6[/tex]
[tex]3x<9[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3}<\frac{9}{3}[/tex]
[tex]x<3[/tex]
You are converting 8 centimeters to meters. How will the number of meters compare to 8? Explain.
Please help I'm timed!
The "meter" is a larger unit than the "centimeter." Every time you need to convert a larger metric unit to a smaller one, you must multiply to find a greater value.
there are 100 cm in a meter so the fraction would be 8/100 or simplified 2/25
Which of the following equations is written in standard form? A. -2X=13 B. 3x+5y=-15 C.
B
the equation of a line in standard form is
Ax + By = C
where A is a positive integer and B, C are integers
3x + 5y = - 15 is in standard form → B
Answer:
Equation of line in Standard form is
[tex]ax \pm by \pm c=0,[/tex]
Among the two options given,
A. -2 x = 13
Here, coefficient of x= -2
Coefficient of y=0
But we can say that this is a point in one dimensional form.
So, it is not equation of line in standard form.
B. 3 x +5 y= -15
3 x + 5 y +15=0
Comparing with, a x + b y + c=0
a=3, b=5, c=15
Neither the coefficient of x ,nor the coefficient of y is equal to 0.
So, Option B: 3 x + 5 y = -15 →3 x+ 5 y+15=0
is equation of line in standard form.
(4x^2-4x-3)+(3x^2-3x-5) then (4x^2-4x-3)-(3x^2-3x-5) show work on both mark brainliest
We have to add the polynomials [tex](4x^2-4x-3)[/tex] and [tex](3x^2-3x-5)[/tex]
To add the polynomials we need to add the like terms, by like terms we understand that the terms with the same exponent of the variables.
So in this case,
[tex](4x^2-4x-3)+(3x^2-3x-5)[/tex]
We will add the coefficients of [tex]x^2, x[/tex], and constants separately, we get:
[tex](4+3)x^2+(-4-3)x+(-3-5)=7x^2+(-7)x+(-8)=7x^2-7x-8[/tex]
Similarly, for the polynomials [tex](4x^2-4x-3)-(3x^2-3x-5)[/tex]
We will subtract the coefficients of like terms, we get:
[tex](4-3)x^2-(4-3)x-(3-5)=x^2-x+2[/tex]
Correct reason why (x+y)^2 is not equal to x^2+y^2
[tex](x+y)^2 =x^2+2xy+y^2\not=x^2+y^2[/tex]
30 POINTS
Which pair of complex numbers has a real-number product? (1 + 2i)(8i) (1 + 2i)(2 – 5i) (1 + 2i)(1 – 2i) (1 + 2i)(4i)
calculating each of the products
noting that i² = (√- 1 )² = - 1
(1 + 2i)(8i) ( distribute by 8i )
= 8i + 16i² = - 16 + 8i ← complex number
(1 + 2i)(2 - 5i) ( expand using FOIL )
= 2 - 5i + 4i - 10i²
= 2 - i + 10 = 12 - i ← complex number
(1 + 2i)(1 - 2i) ( expand using FOIL )
= 1 - 2i + 2i - 4i²
= 1 + 4 = 5 ← real number
(1 + 2i)(4i) ( distribute by 4i )
= 4i +8i² = - 8 + 4i ← complex number
(1 + 2i)(1 - 2i) is the only product which results in a real number
The surface area, A, of a sphere in terms of its radius, r, is given by A(r) = 4πr2. Express r as a function of A.
r =√ ( A / 4π )
given A = 4πr² ( isolate r² by dividing both sides by 4π )
A / 4π = r² ( take the square root of both sides )
r =√( A / 4π )
Answer:
The expression of r in terms of A is:
[tex]r=\sqrt{\dfrac{A}{4\pi}}[/tex]
Step-by-step explanation:
We are given the surface area, A, of a sphere in terms of its radius, r, as:
A(r) = 4πr²
[tex]A=4\pi\ r^2[/tex]
⇒ [tex]r^2=\dfrac{A}{4\pi}[/tex]
⇒ [tex]r=\sqrt{\dfrac{A}{4\pi}}[/tex]
Hence, the expression of r in terms of A is:
[tex]r=\sqrt{\dfrac{A}{4\pi}}[/tex]
A rectangular park has an area of 250 square feet. The length of the park is 7 feet more then twice the width, w of the park. Which equations, in terms of w, model this situation
Area = length * width
width = w
length = 2w+7
A = (2w+7) * w
250 =2w^2+7w
0 = 2w^2 +7w-250
w is the width, hence length is 2w + 7 ( 7 more than twice the width )
area = length × width = w( 2w + 7 ) = 250
2w² + 7w - 250 = 0 ← in standard form
Given the function f(x)=x^2 and k=3, which of the following represents the graph becoming more narrow?
A. f(x)+k
B. kf(x)
C. f(x+k)
D. f(k-x)
B
the spread of the graph of a parabola is determined by the multiplier k
the standard comparison is against k = 1
• If k > 1 then the graph narrows towards the y-axis
• If 0 < k < 1 then graph widens towards the x- axis
Mr. Tragrr has $500.00 to spend at a bicycle store. All the prices listed down below include tax.
• He buys a new bicycle for $273.98
• He buys 3 new bicycles for $7.23 each and 1 bicycle helmet for $42.36
• He plans to use the remaining money to buy new cycling outyfor $78.12each.
What is the GREATEST number of cycling outfits thatMr. Traeger can buy withthe remaining money?
To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.
Spent so far:
... 273.98 + 3×7.23 +42.36 = 338.03
Remaining available funds:
... 500.00 -338.03 = 161.97
The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.
Mr. Traeger can buy two (2) cycling outfits with the remaining money.
_____
The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.
Based on the graph, which of the following statements is true?
A.
The number of pumpkins depends on the total price.
B.
The total price depends on the number of crates.
C.
The number of crates depends on the total price.
D.
The total price depends on the number of pumpkins
Answer:
The total price depends on the number of crates.
Step-by-step explanation:
Without seeing the graph, we can't provide a definitive answer. Generally, in such situations, total price would likely depend on the quantity of goods (pumpkins or crates) purchased (Options D and B).
Explanation:To answer this question, we'd need to closely examine the given graph. However, generally, in a graph showcasing a transaction, the total price depends on the quantity of goods, such as pumpkins or crates, purchased. Hence without explicit information from the graph at hand, option D. 'The total price depends on the number of pumpkins', and option B. 'The total price depends on the number of crates' could potentially be accurate. But we cannot determine definitively without further information.
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Is 15.5 a irrational or rational number? ANSWER ASAP
Answer: 15.5 is a rational number.
Step-by-step explanation: We are given to check whether the number 15.5 is a rational or irrational.
We know that
a real number is said to be
(i) rational, if the digits after the decimal are either repeating or terminating.
(ii) irrational, if the digits after the decimal are non-repeating and non-repeating.
The given number is 15.5.
Here, the digits after the decimal are terminating.
So, the given number is a rational number.
Thus, 15.5 is a rational number.
If a circle has radius of 2.5 what would the diameter be
diameter = 5
the diameter is twice the radius
diameter = 2.5 × 2 = 5
Which complex number is represented by the point graphed on the complex plane below
See this explanation:
for the given point x=3 and y=-4.
It means, z=3-4i. Answer; C.
Answer:
Option (c)
Step-by-step explanation:
A complex number is a combination of a real number and an imaginary number.
Real number be represented on X axis and imaginary number be represented on Y axis.
Here real part of the complex number is 3 and the imaginary part is -4.
So, the complex number is 3 - 4i.
Triangle ABC is similar to triangle QRS by the AA Similarity Postulate. Also, m∠A = 72° and m∠S = 56°. What is m∠B?
∠B = 52°
Since the triangles are similar then
∠C = ∠S = 56°
∠B = 180° - (72 + 56)° = 52°
Are the two triangles below similar?
a. Yes; they have congruent corresponding angles.
b. Yes; they have proportional corresponding sides.
c. No; they do not have proportional corresponding sides.
d. No; they do not have congruent corresponding angles.
Answer:
d
Step-by-step explanation:
Geometry HELP! Please help if your good with geometry. Thanks
Answer:
20a. 143 deg
20b. 37 deg
20c. corresponding angles, congruent
20 d. same-side interior angles, supplementary
Step-by-step explanation:
20a.
m<7 = 34
m<5 + m<7 = 180 (linear pair)
m<5 = 180 - 37 = 143
m<4 = m<5 = 143 (alt int angles)
20b.
m<2 = m<7 = 37 (alt ext angles)
20c. corresponding angles, congruent
20d. same-side interior angles, supplementary
(a)
∠7 = 37° = ∠6 ( vertical angles )
∠4 = 180° - 37° = 143° ( 4 and 6 are supplementary interior angles )
(b)
∠2 = 37° (2 and 4 form a straight angle )
(c)
∠4 and ∠8 are corresponding congruent angles
(d)
∠3 and ∠5 are supplementary interior angles
Simplify the expression. 12x^-6 y^10 times 3x^7 y
We need to simplify the expression:
[tex]12x^{-6}y^{10} \times (3x^{7}y)[/tex]
Now, we know that we can resolve the exponents of the variables with the like terms only and we can multiply the coefficients independently:
Now,
[tex]12x^{-6}y^{10} \times 3x^{7}y=(12 \times 3)\times (x^{-6}\times x^{7})\times (y^{10}\times y)[/tex]
On simplifying the above expression we get:
[tex]36\times x^{(-6+7)}\times y^{(10+1)}[/tex]
[tex]=36 \times x^{1}\times y^{11}[/tex]
[tex]=36 \times x \times y^{11}[/tex]
[tex]=36xy^{11}[/tex]
So the simplified form of the expression [tex]12x^{-6}y^{10} \times 3x^{7}y=36xy^{11}[/tex].
X(x+3)(x-5)=0 is a quadratic equation
True
False?
False. That is a cubic equation.
given that r is the midpoint of qs and that the lenght of qr is 5.7, find the lenght of qs
Answer:
d. 11.4
Step-by-step explanation:
point r is half the line qs. qr is 5.7 so to get the whole line multiply it by two to get 11.4
An analog clock loses 2 minutes every 3 hours. What is the shortest interval of time after which the clock will show the correct time?
In order to show the correct time again, the clock has to be exactly 12 hours, or 12*60=720 minutes, behind. With 2 minutes per 3 hours, the clock will have to run for 3 * 720/2 = 1080 hours. 1080 hours = 45 days. The shortest interval the clock need to show the correct time is 45 days.
Answer:
1152 hours - 42 days =)
Step-by-step explanation:
Unknown digit for 2.84 > 2.4 1 > 2.463
The digit _ that will make 2.4_1 be more than 2.463 must be 7, 8, or 9.
If the first number in your sequence is 2.48 (not 2.84), then the unknown digit must be 7.
2.48 > 2.471 > 2.463