Answer:
La mayor tiene 61 años.
Step-by-step explanation:
Sea x,y,z la edad de la mayor, intermedio y la menor respectivamente.
Tenemos las siguientes ecuaciones:
[tex]x+y+z=127[/tex] (la suma de las edades es 127)
[tex]x = z+30[/tex] (la mayor tiene 30 años más que la menor)
La frase "y la del intermedio 26 menos que la menor" no tiene sentido, puesto que esto implicaría que la del intermedio es menor que la menor. Luego se asume que la frase ha de ser "y la del intermedio 26 menos que la mayor"
[tex]x-26 = y[/tex] (la del intermedio tiene 26 menos que la mayor).
La segunda ecuación se traduce a x-30 =z. Si reemplazamos todo en la primera ecuación obtenemos
[tex]x+(x-26)+(x-30) = 127[/tex]
Obtenemos la ecuación
[tex]3x-56 = 127[/tex]
Sumando 56 a ambos lados y dividiendo por 3, obtenemos
[tex] x = \frac{127+56}{3} = 61[/tex]
Es decir la mayor tiene 61 años.
If y varies directly with x, and y is 14 when x is 2,
what is the value of x when y is 35?
X =
DONER
nt of
Answer: x = 5
Step-by-step explanation:
14 / 2 = 7
7 * 5 = 35
Same applies for x
2 / 2 = 1
1 * 5 = 5
Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.
Answer:
Equation of a line y = mx + c
m = slope
m = 2
Using point ( -4,3)
Equation of the line is
y - 3 = 2(x +4)
y - 3 = 2x + 8
y = 2x + 8 + 3
y = 2x + 11
Hope this helps.
Answer:
B. Y = 2x + 11
Step-by-step explanation:
Got it right on edg.
Here is a list of numbers.
13 27 81 21 43 48 23 39 45
From this list, write down
a) The even number.
48
b) The square number.
81
c) All the prime numbers.
Answer:
13,27,43,23,39.
i think these r the prime numbers
The prime numbers are:
13, 43, 23
Very buys a basket of mangoes that is priced $14 before tax. The sales tax is 6%. What is the total price Avery pays for the basket of mangoes
Answer:
Avery needs to pay $14.84
Step-by-step explanation:
When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:
[tex]\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}[/tex]
Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:
[tex]x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84[/tex]
The value to be paid is the product value plus the tax, therefore:
[tex]\text{paid} = 14 + 0.84 = 14.84[/tex]
Avery needs to pay $14.84
A car travels at the speed x + 30 kilometers in one hour, where x is an unknown. Find x if this car covers 300 kilometers in 3 hours?
Answer:
[tex]x=70[/tex]
Step-by-step explanation:
We know that the car travels at speed [tex]x+30[/tex] per hour. Thus, after [tex]h[/tex] hours, it will have traveled [tex]h(x+30)[/tex] kilometres.
We are given that it traveled 300 kilometres after 3 hours. So, we have...
[tex]300=3(x+30)[/tex]
[tex]100=x+30[/tex]
[tex]x=70[/tex]
Which is the graph of the function f(x) = -√x
Answer:
1st Graph
Step-by-step explanation:
Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.
Given the line of best fit for a set of data points with the equation y=5x-2.5, what is the residual for the point (3,6)?
========================================================
Explanation:
For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).
The predicted y value is found by plugging x = 3 into the line of best fit equation
y = 5x-2.5
y = 5(3)-2.5
y = 12.5
The residual is the difference between the two y values
e = residual
e = (observed y value) - (predicted y value)
e = 6 - 12.5
e = -6.5
The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.
what is the nth term rule of the linear sequence below 15, 7, -1, -9, -17
Answer:
8n+7
Step-by-step explanation:
Work out the area of this circle with a radius of 6mm. Give your answer in terms of pi
Answer:36π mm^2
Step-by-step explanation:
Formula for area of a circle =
πr^2
r=6mm
π*6^2
π*36
36π mm^2
Answer:
36 π mm²
Step-by-step explanation:
r= 6 mm
A= πr²
A= π* 6²= 36 π mm²
3 quarts but in cups
Answer:
12 cups
Step-by-step explanation:
there are 4 cups in 1 quart. You multiply both of them by 3 so there are 12 cups in 3 quarts
Answer:
12 cups
Step-by-step explanation:
1 quart = 4 cups
4*3 = 12
12 cups
brainliest??
given that £1=$1..62 what is 650 pounds in dollars
1 pound = 1.62 dollars.
Multiply total pounds by 1.62 for total dollars.
650 x 1.62 = $1,053
A school crossing sign is shown. Find the measures of angle A and angle C
Answer:
m∠A = 135°
m∠C = 135°
Step-by-step explanation:
There are 540° in a pentagon.
You are given 3 90° angles
540-90(3) = 270
∠A and ∠C are congruent
270/2 = 135° each
Which equation is parallel to the line y=2x+6 and passes through the point (8,1)?
y = 2x+6
y = 2x-15
y = 2x+10
y = -2x-7
The answer is y = 2x - 15
The equation of a line is y = mx +c
m = slope
c = y intercept
From this equation y=2x+6
m = 2
Since the lines are parallel their gradients are also the same
Equation of the line using point (8,1) is
y - 1 = 2(x-8)
y - 1 = 2x - 16
y = 2x - 15
Hope this helps
Answer: y=2x-15
Step-by-step explanation: Since the lines are parallel their slopes will be the same, so all you need to do is plug in (8,1) in the x and y values of the equation: y=2x+b. When you do this you get 1=2(8)+b. Simplify. The b value will be -15 which is the y-intercept so the answer is y=2x-15
The tip jar at a sandwich shop has been found to have a dollar value 0.65ℎ +1.25, where ℎ is the number of hours since the shop opened.
a. By how much is the value of the tip jar increasing
The tip jar is increasing by 65 cents per hour
b. How much is the initial value of the tip jar when the store opens?
Answer:
The intial value is 1.25
Step-by-step explanation:
The model below can be used to find the quotient of 1/2÷1/4. What is the quotient?
Step-by-step explanation:
The quotient is 0.125
I think this should be the answer
Answer:
0.125
Step-by-step explanation:
what is the area of the figure below use 3.14 for pie
Answer:
Answer CL 586 cm^2
Step-by-step explanation:
Hello. It's pi, not pie.
The area of the triangle is A1 = (1/2)(base)(height) = (1/2)(18 cm)(7 cm), or
A1 = 63 cm^2.
The area of the rectangle is A2 = (base)(height) = (18 cm)(22 cm) = 396 cm^2.
The area of the semicircle is A3 = (1/2)(pi)(9 cm)^2 = 3.14(81 cm^2)(1/2) = 127 cm^2
Thus, the total area of the figure is A = 127 cm^2 + 396 cm^2 + 63 cm^2, or
586 cm^2 approximately.
please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment....
Election Three candidates run for an office in a local election. In all, 12,936 votes
are cast, and the breakdown of votes for the three candidates is in the extended ra
3:4:5. Find the actual numbers of votes cast for the three candidates.
Answer:
3234
4312
5390
Step-by-step explanation:
3x +4x + 5x = 12936
12x = 12936
Write as an expression: Twice the square of the product of x and y
Answer:
2* (xy)^2
Step-by-step explanation:
First find the product of x and y
xy
The square it
(xy)^2
The twice it ( multiply by 2
2* (xy)^2
The volume of a cube is 8cm3, find the length of one of it's sides
Answer:
The side length is 2 cm
Step-by-step explanation:
The volume of a cube is s^3
V = s^3
8 = s^3
Take the cube root of each side
8 ^ 1/3 = s^3 ^ 1/3
2 = s
The side length is 2 cm
Answer:
2 cm
Step-by-step explanation:
The volume of a cube can be found using the following formula:
V=s^3
where s is the length of one side. We know the volume is 8 cm^3, therefore we can substitute that value in for V.
8 cm^3=s^3
We want to find what the side length is. The side length is being cubed. The inverse of a cube is the cube root. Therefore, we must take the cube root of both sides, or raise both sides to the power of 1/3.
(8 cm^3)^1/3=(s^3)^1/3
(8 cm^3)^1/3=s
2 cm=s
The length of one side is 2 centimeters.
Maria, Max, Molly, and Mitch are all picking apples at an orchard. The number of apples Max picks is the number of apples Maria picks squared. Molly picks the number of apples that Max and Maria pick combined. Mitch picks the number of apples Molly picks squared plus the number of apples that Maria picks. If Maria picks 3 apples, then how many apples does Mitch pick
Answer:
147
Step-by-step explanation:
Given: Maria=3
Max=3 squared=9
Molly=Max+Maria=9+3=12
Mitch=Molly squared+Maria=144+3=147
Hope this helps!
Solution:
Since Max picks the number of apples that Maria does but squared, then Max picks 3^2=3 * 3=9 apples. Since Molly picks the number of apples that Maria picks plus the number that Max picks, Molly picks 3+9=12 apples. Finally, Mitch picks the number Molly picks squared plus the number Maria picks, so Mitch picks 12^2+3=12 * 12 +3=144+3=147 apples.
Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then
changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent
the new line?
O y-6 = 2(x - 10)
Oy-2 = 5(x - 10)
Oy-3 = {(x-2)
Oy-3 = 2(x - 10)
Aria and her children went into a bakery and will buy donuts and brownies. She must buy at least 6 donuts and brownies altogetherWrite an inequality that would represent the possible values for the number of donuts purchased, d, and the number of brownies purchased, b.
Answer:
Inequality for donuts and brownies is;
d ≥ 1 ≤ b
Step-by-step explanation:
We are told that aria will buy donuts and brownies.
We are also told that, number of donuts is d while number of brownies is b.
We are also told that she must by at least a total of 6 donuts and brownies together. Which means that the sum of d and b must not be 6 or greater than 6.
So the inequality will be;
d + b ≥ 6
Thus, for the donut and brownies, inequality would be; d ≥ 1 ≤ b
Answer: d+b≥6 is the correct answer trust me
A standard six-sided die is thrown. What is the probability that the number
that comes up is less than or equal to 2?
Answer:
2/6 or 1/3
Step-by-step explanation:
There are two numbers who are equal or less than 2 its 1 and 2
And the total is 6 so its 2/6 which is 1/3
Sorry if this is late
Answer:
0.33
Step-by-step explanation:
Which point is in Quadrant IV?
Answer:
1,1 or -1,3
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
bottom right quadrant is IV
On Monday, Crisitan groomed 15 dogs in 10 hours and Kenneth groomed 10 dogs in 8 hours. If they each make $12.75 per dog, how much did they each make on Monday?
Answer:
Christian made $191.25 and Kenneth made $127.50 each.
Step-by-step explanation:
With each dog, you multiply how many dogs with the amount of cash they get each dog.
Christian: 15x12.75= $191.25
Kenneth: 10x12.75= $127.50
So you just multiply the amount of dogs with money :)
Can someone help me with the below question???
Answer:
so 2a+3b=±13
Step-by-step explanation:
4a²+9b²=97
ab=6
2a+3b=?
by using formula
(a+b)²=a²+b²+2ab
(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)
(2a+3b)²=4a²+9b²+12ab
putting values
(2a+3b)²=97+12(6)
(2a+3b)²=97+72
(2a+3b)²=169
taking square root on both sides
√(2a+3b)²=√169
2a+3b=±13
i hope it will help you
Answer:
2a+3b = 13
Step-by-step explanation:
Using this formula
[tex](x+y)^2 = x^2+y^2+2xy[/tex]
Where,
x = 2a and y = 3b
Putting in the above formula
=> [tex](2a+3b)^2=4a^2+9b^2+12ab[/tex]
Putting 4a²+9b² = 97 and ab = 6
=> (2a+3b)² = 97+12(6)
=> (2a+3b)² = 97+72
=> (2a+3b)² = 169
Taking sqrt on both sides
=> 2a+3b = 13
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3
Answer: [tex]y \leq \frac{1}{2} x+3[/tex]
Step-by-step explanation:
If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.
First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.
You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.
3 - 1 = 2
0 - (-4) = 4
2/4 = 1/2
The new equation is:
[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]
Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]
Answer:
B
Step-by-step explanation:
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2-5-8
b) -7 -12 -17 -22 -27
Answer:
a: -3n+1
b:-5n-2
Step-by-step explanation:
a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)
b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.
Hope this helps :),
Lily
Calculate the lateral area of a right prism with a heptagon base side of 4 feet and a
height of 10 feet.
Answer:
280 ft2
Step-by-step explanation:
The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.
The area of one of these rectangles is:
[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]
Then, the area of the seven rectangles is:
[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]
So the lateral area of this prism is 280 ft2.
What is the product of 6x – y and 2x – y + 2?
Answer:
12x^2 - 8xy + y^2 + 12x - 2y
Step-by-step explanation: