Responder:
a) 2
b) 5
c) 4
d) 3
Explicación paso a paso:
Debemos encontrar el MCD de los siguientes números
a) 54, 76, 114
encontrar los factores primos de cada
54 = 2 * 3 * 3 * 3
76 = 2 * 2 * 19
114 = 2 * 2 * 2 * 2 * 3 * 3
De los factores anteriores, podemos ver que solo 2 es común a todos los factores, por lo tanto, el MCD de 54, 76 y 114 es 2
b) Para 35, 50 y 120
35 = 5 * 7
50 = 2 * 5 * 5
120 = 2 * 2 * 2 * 3 * 5
De los factores anteriores, podemos ver que solo 5 es común a todos los factores, por lo tanto, el MCD de 35, 50 y 120 es 5
c) Para 12, 16 y 20
12 = 2 * 2 * 3
16 = 2 * 2 * 2 * 2
20 = 2 * 2 * 5
De los factores anteriores, (2 * 2) es común a todos ellos, por lo tanto, el MCD de 12, 16 y 20 es 4
d) Para 56 y 120
56 = 2 * 2 * 2 * 7 = 8 * 7
120 = 2 * 2 * 2 * 3 * 5 = 8 * 3 * 5
De los factores anteriores, podemos ver que solo 8 es común a todos los factores, por lo tanto, el MCD de 56 y 120 es 8.
Por tanto, c = 8
Necesario
24 / c
= 24/8
= 3
Por tanto, el resultado de 24 / c es 3
A coach buys a uniform and basketball for each of the 15 players on the team. Each
basketball cost $9.50. The coach spends a total of $450 for uniforms and basketballs.
What is the cost, in dollars, of each uniform?
$
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
Factorise x + 5x + 6
Answer:
6x+6
Step-by-step explanation:
Combine like terms:
x + 5x +6
6x+6
In the accompanying diagram of right triangle ACB, altitude CD is drawn to hypotenuse AB. If AB = 25 and CB = 10, what is the length of DB? (if you don’t know dont answer)
Answer:
The answer is 15
Step-by-step
if that didnt work sorry
Joe is straight into running a half marathon in too much this week he ran 1,200,000 km on Monday 2400 m on Wednesday and 4.6 km on Friday what is the total distance in kilometer that he ran this week
Answer:
1202404.6
Step-by-step explanation:
1,200,000 + 2400 =1202400
1202400 + 4.6 = 1202404.6
Write a proportion to find how many points a student needs to score on the test to get the given score. Test worth 50 points; test score of 84%
Answer:
42
Step-by-step explanation:
Test worth = 50
To obtain a grade percent = 84%
Score to obtain = x
Using the expression :
84% of test worth = x
84/100 * 50 = x
0.84 * 50 = x
42 = x
Score to obtain = 42
Maggie is trying to find the best deal to buy bags of potato chips. Option A: $0.90 for 9 bags of chips Option B: $0.84 for 7 bags of chips Option C: $1.50 for 5 bags of chips Which option is the better deal?
A
Option A
B
Option B
C
Option C
Answer:
The answer is option A. Since you would be paying 0.10 for each bag.
The solution is Option A.
The best deal for Maggie to buy the bag of potato chips would be 9 bags for $ 0.90 because each bag cost $ 0.10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of each bag be represented as A
Now , the equation will be
a)
$0.90 for 9 bags of chips
The cost of 9 bags = $ 0.90
The cost of 1 bag A = The cost of 9 bags / 9
Substituting the values in the equation , we get
The cost of 1 bag A = 0.90 / 9
On simplifying the equation , we get
The cost of 1 bag A = $ 0.10
b)
$0.84 for 7 bags of chips
The cost of 7 bags = $ 0.84
The cost of 1 bag A = The cost of 7 bags / 7
Substituting the values in the equation , we get
The cost of 1 bag A = 0.84 / 7
On simplifying the equation , we get
The cost of 1 bag A = $ 0.12
c)
$1.50 for 5 bags of chips
The cost of 5 bags = $ 1.50
The cost of 1 bag A = The cost of 5 bags / 5
Substituting the values in the equation , we get
The cost of 1 bag A = 1.50 / 5
On simplifying the equation , we get
The cost of 1 bag A = $ 0.30
Therefore , the 0.10 < 0.12 < 0.30
Hence , the cost of $0.90 for 9 bags of chips is the best deal
To learn more about equations click :
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7. Which set of ordered pairs represents a function?
A) {(-2,1),(-1,0). (1,-1), (2,-2), (3,-3)}
B) {(-2,57, (-2,5), (-2,7),(-2,9), (-2,11)}
C) {(1,5), 7,2), (9,1), (9,7), (2,7)}
D) {(-4,0), (-2,1),(0,2), (-2,4), (-4,6)}
Answer:
a
Step-by-step explanation:
to be a function, every x has to have exactly one y, so there can't be the same number x twice wirh different y's
Evaluate 52. Check all that apply.
The base is 5.
The exponent is 2.
The expanded form is 2 × 2 × 2 × 2 × 2.
The expanded form is 5 × 5.
52 = 25
52 = 32
Answer: a, b, d, e
Step-by-step explanation: just got it right on edge 2021
Answer:
a,b,d,e
Step-by-step explanation:
How did he get from 3^-16/3/3^-8/3 to 0.00285333857/0.00285333857??? (The circled part) Because when I put it in the calculator I don’t get the decimal I was suppose to get.
Step-by-step explanation:
[tex] \frac{ {3}^{ - \frac{16}{ 3} } }{ {3}^{ - \frac{ 8}{3} } } = \frac{0.002853338}{0.05341665075} [/tex]
I think, he made a mistake because the exponents have different values but then if you'll look at his results, he just wrote the same thing. If you want, you could post the original problem, and I'll solve it for you :)
What is the apparent solution to this system of equations?
(Write your answer as an ordered pair)
(FIRST TO ANSWER GETS BRAINLIEST)
Answer:
x = (3,3)
Step-by-step explanation:
This is going to be x = (3,3) because this is showing where the x, y stand. The x goes, ∧ and the y goes to the ⇒ SO this is going to be x = (3,3) because the x comes first before the 2!
two angles of a triangle measure 29 degrees and 12 degrees what is the measure of the third angle?
Answer:
The measurement of the third angle would be 139 degrees.
Step-by-step explanation:
Using the triangle sum theorem, you already know that all interior angles of a triangle add up to 180 degrees. So since you already have two angle measurements, all you have to do is add them together and subtract them from 180 degrees. In this case it is 29+12, which equals 41. Now you subtract that from 180 and get 139.
I hope this helps!
Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it. At the end of the 4 years, how much interest in dollars and cents did the account earn? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
$1105
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 6500 × 0.0425 × 4 = 1105
I = $ 1,105.00
The simple interest accumulated
on a principal of $ 6,500.00
at a rate of 4.25% per year
for 4 years is $ 1,105.00.
The interest in dollars and cents did the account earn should be considered as the $1,105.
Calculation of the interest in dollars:Since deposited amount is $6,500
The interest rate should be 4.25%
The time period is 4 years
So here the interest should be like
= ($6,500) (4.25%) (4)
= $1,105
hence, The interest in dollars and cents did the account earn should be considered as the $1,105.
Learn more about interest rate here: https://brainly.com/question/24656271
Someone please help with these and explain your answer for both!!! I will give brainliest if correct!!!
Answer:
C
Step-by-step explanation:
We have congruent angles in the middle and 2 sides are congruent as well which makes (Angle-Side-Side) which doesn't work for congruent triangles.
C. is the answer
2 givens and then we have CB = CB which is the reflexive property. I haven't heard of (definition of midpoint) but as long as there aren't any more answers except the 3 shown above it should be correct.
You want to purchase multiple books on sale for $6.30. The sales tax is 5% and you have $20. At most, how many books can you buy?
Answer:
3 books
Step-by-step explanation:
Assume x is the number of books you could buy.
(1+0.05)(6.3x) ≤ 20
1.05(6.3x) ≤ 20
6.615x ≤ 20
x ≤ 3.02
Answer:
the awnser is 3 books yiu can buy
Andy is buying a car
he negotiated a 7% decrease on a £6 500 car
he will pay the full balance in 12 equal month payments
calculate the amount paid each month
Answer:
£503.75 per month
Step-by-step explanation:
7% decrease on a £6,500 car
= 7% of 6,500
= 7/100 * 6,500
= 0.07 * 6500
= £455
Amount of the car = £6,500 - £455
= £6,045
he will pay the full balance in 12 equal month payments
Amount paid each month = £6,045/12 months
= £503.75 per month
Answer:
7% decrease on a £6,500 car
= 7% of 6,500
= 7/100 * 6,500
= 0.07 * 6500
= £455
Amount of the car = £6,500 - £455
= £6,045
he will pay the full balance in 12 equal month payments
Amount paid each month = £6,045/12 months
= £503.75 per month
Step-by-step explanation:
Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the length of \overline{AC}? AC ?
Answer: [tex]\overline{AC}=[/tex] 12.5
Step-by-step explanation: The triangle ABC and its altitude [tex]\overline{BD}[/tex] is represented in the figure below.
Altitude is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of [tex]\overline{BD}[/tex], now we have two similar triangles, which means that ratios of corresponding sides are equal:
[tex]\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}.\overline{AD}[/tex] (1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.
[tex]\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}[/tex] (2)
Substituting (2) into (1):
[tex]\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}[/tex]
We want to find f, so:
[tex]\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}[/tex]
[tex]f=\frac{10^{2}-5^{2}}{10}[/tex]
f = 7.5
The length of [tex]\overline{AC}[/tex] is
[tex]\overline{AC}=f+5[/tex]
[tex]\overline{AC}=7.5+5[/tex]
[tex]\overline{AC}=12.5[/tex]
The length of the hypotenuse of triangle ABC is 12.5 units.
Answer:
x = 20
Step-by-step explanation:
The dimensions of an actual swing set are shown. You want to create a scale model of the swing set for a dollhouse using similar triangles. Sketch a drawing of your swing set and label each side length. Then write a similarity statement for each pair of similar triangles and state the scale factor you used to create the scale model.
The dimensions of the scaled drawing are half the lengths of the dimensions of the original drawing
What are scaled drawings?Scaled drawings are diagrams that shows the image of an object drawn in a reduced or enlarged proportional size.
How to determine a scale ratioIf the diagram is to be enlarged, then the scale ratio will be greater than 1.
However, smaller diagrams will have a scale ratio less than 1
In this case, we make use of a scale ratio of 0.5 or 1/2
This means that, the scaled drawing will have its lengths to be half of the original drawing
See attachment for the original drawing and the sketch of the scaled drawings
Read more about scaled drawing at:
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If x= -3 is one solution of x2 + 9x + 18, what is the other solution?
6x+9=-12
Can someone help me with this question
Answer:
-7/2
Step-by-step explanation:
Answer:
-7/2
Step-by-step explanation:
Hope it helps
Please help me???????
Answer:
i can't see it
Step-by-step explanation:
3 1/3 x 3 =??
Not quite understanding
Answer:
10
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
3 1/3 * 3 = 10
Please help I really need it I will be giveing 15 points to whoever can help me
Answer:
the slope is: -1/2
y-intercept: (0,-f)
hopefully that makes sense
2 x + 6 = 10
solve for x
Answer:
x=2
Step-by-step explanation:
2x2=4
4+6=10
Answer:
x=2
Step-by-step explanation:
with questions like this do the inverse
10-6=4
4÷2=2
2=x
i hope this helped xx
After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?
Emilia pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the number of hours, x , she can use the boat.
Are emilias inequality’s and number line correct? Explain your reasoning by completing the statements. Click the arrow to choose an answer from each menu
Answer:The Answer is 4
Step-by-step explanation:
24/4=4
Emilia pays $4 dollars per hour
if you know what’s going on pls help thanksss
basically u are representing the graphs below in symbols and words if that makes any sence
Answer:
1. > less than
2. =< (I can't find the symbol for this but a line should be under the < and thats it) Greater than or equal to
3. < greater than
4. >= less than or equal to
additive inverse of 3x - 6.
Answer:-3
Step-by-step explanation:
Hola me podrían ayudar por favor. Convertir las fracciones a decimales y ubicar a los decimales en la recta numérica. a. 2/3 b. 8/5 c. -5/2 d. 7/4 e. 9/2 f. -11/3 g. 13/5 d. -7/4
Answer:
Step-by-step explanation:
a decimal
2/3 = 0.7
8/5 = 1.6
-5/2 = -2.5
7/4 = 1.8
9/2 = 4.5
-11/3 = -3.7
13/5 = 2.6
-7/4 = -1.8
Esto es solo un bosquejo del número, usando un gráfico, use 0.1 para una unidad en la recta numérica.
- ________________________________________________________ +
| | | | | | | | | | | | | | | | | | |
-5 -4 -3.7 -3 -2.5 -2 -1.8 -1 0 0.7 1 1.6 1.8 2 2.6 3 4 4.5 5
Point (1,3) Slope: 2
Answer:
y=2x+1
Step-by-step explanation:
(1,3). y=mx+b or 3=2 × 1+b, or solving for b: b=3-(2)(1). b=1