Answer:
The age of the youngest child = x = 6 years
The age of middle child = y = 8 years
The age of the oldest child = z = 12 years
Step-by-step explanation:
Let us represent:
The age of the youngest child = x
The age of middle child = y
The age of the oldest child = z
The sum of the ages of the children is 26.
Hence: x + y + z = 26...... Equation 1
The oldest is 4 years older than the middle
z = 4 + y
The youngest child is 2 years younger than the middle child
x = y - 2
Hence, we substitute 4 + y for z and y - 2 for x in Equation 1
x + y + z = 26...... Equation 1
y - 2 + y + 4 + y = 26
y + y + y -2 +4 = 26
3y + 2 = 26
Subtract 2 from both sides
3y + 2 - 2 = 26 - 2
3y = 26 - 2
3y = 24
y = 24/3
y = 8
Solving for x
x = y - 2
x = 8 - 2
x = 6
Solving for z
z = 4 + y
z = 4 + 8
z = 12
Therefore:
The age of the youngest child = x = 6 years
The age of middle child = y = 8 years
The age of the oldest child = z = 12 years
a) Find the value of x.
6 x 6 x 6 x 6 x 6 x 6 x 6 = 6^x
b) Find the values of y.
y2 = 169
Answer:
a) x = 7
b) y = 13
Step-by-step explanation:
a) 6 multiplied by itself 7 times is the same as writing 6^7
b) The square root of 169 is 13. therefore, 13^2 is 169
You purchase a remote-controlled drone for d dollars. Your friend purchases a drone that costs $35 more than your drone. Your brother purchases a drone that costs three times as much as your friend's drone. Write and simplify an expression that represents the cost (in dollars) of your brother's drone.
Answer:
[tex]Brother = 105 + 3d[/tex]
Step-by-step explanation:
Given
[tex]Drone = d[/tex]
Friend = $35 more expensive than yours.
Brother = 3 * as much as your friend
Required
Write an expression for the cost of your brother's drone
I'll solve by analysing the question one sentence after the other
You:
[tex]Drone = d[/tex]
Your friend:
Friend = $35 more expensive than yours.
This means
[tex]Friend = 35 + You[/tex]
Substitute d for You
[tex]Friend = 35 + d[/tex]
Your brother:
Brother = 3 * as much as your friend
This means:
[tex]Brother = 3 * Friend[/tex]
Substitute 35 + d for Friend
[tex]Brother = 3 * (35 + d)[/tex]
Open bracket
[tex]Brother = 3 * 35 + 3*d[/tex]
[tex]Brother = 105 + 3d[/tex]
help with this question
Answer: answer for a is 690 and answer for b is 3910
Step-by-step explanation:
for first you times 4600 by .15 and than you get and than you subtract 690 from 4600.
What is the formula for finding simple interest and what did each of the variables mean ?
Answer:
S.I = (P × R × T)/100
where;
P - principal
R - rate
T - time
Austin burns 120 calories per 30 minutes of weight training. How many calories does he burn in 90 minutes?
Answer:
360 calories
Step-by-step explanation:
360
Answer:
360
Step-by-step explanation:
answer for brainly and points thank you
Answer:
It’s A
Step-by-step explanation:
Used math-way
Answer:
a
Step-by-step explanation:
Two cars were at a gas station, a red car and a blue car. The red car filled up with 12 gallons of gas and was able to travel. The blue car filled up with 15 gallons of gas and was able to travel 330 miles. What was the gas mileage of each car? Which car got better gas mileage?
Answer:
Red Car Gas mileage:
= Distance travelled/ Gas used
= 300/12
= 25 mpg
Blue Car gas mileage:
= 330/15
= 22 mpg
The car with the better mileage is the one that goes further per gallon of gas which is the Red Car.
Which of these brands have the lowest cost per unit? PLEASE HELP MY FIRST MATH GRADE OF THE QUARTER IS ON THE LINE!
Answer:
you need a dotted point starting at 3 and going to to the right
Step-by-step explanation:
the dotted point means x < , x > and since it is greater you always go to the right
Let y = 7x + 4. what is x when y = 18?
Answer:
2
Step-by-step explanation:
Bill's Apparel and Bud's Apparel are two sporting goods retailers. Bill's want to buy 360 small jerseys, 540 medium jerseys, and 300 large jerseys, while Bud's want to buy 240 small jerseys, 600 medium jerseys, and 360 large jerseys. The two dealers from which they are looking to buy their jerseys are Zest Athletics and Zeal Sporting Wear. Zest charges $14 for small jerseys, $18 for medium jerseys, and $21 for large jerseys. Zeal charges $16 for small jerseys, $18 for medium jerseys, and $19 for large jerseys. Use matrix multiplication to find the dealer each retailer should choose for its purchase.
Answer:
D
Step-by-step explanation:
Doing the math, For Bill's to buy it's clothes from Zest, it would take $21060,
while it would take $21180 from Zeal. So Bill's wants Zest.
Bud's price for Zest is $21720, and for Zeal is $21480. Bud's Wants Zeal.
Bill should purchase from Zest and Bred should purchase from Zeel.
What is matrix multiplication?
Matrix multiplication is a binary operation that creates a matrix from two matrices in mathematics, especially in linear algebra. The first matrix's columns must have the same number of rows as the second matrix's rows in order for matrices to be multiplied.
Bud's Apparel and Bill's Apparel are two stores that sell athletic items. In contrast to Bud, who wants to purchase 240 small jerseys, 600 medium jerseys, and 360 large jerseys, Bill wants to purchase 360 small jerseys, 540 medium jerseys, and 300 large jerseys. They are looking to purchase their jerseys from Zest Athletics and Zeal Sporting Wear, respectively. Small, medium and large jerseys cost $14, $18, and $21, respectively, from Zest. Small, medium and large jerseys cost $16, $18, and $19, respectively, from Zeal. From matrix multiplication.
For bill,
if bill buys from zest: 14* 360 + 18* 540 +21*300 = 21060
if bill buys from zeel: 16*360 + 18* 540 + 19*300 = 21180
Since 21060<21180
thus bill should buy from the zest
For bud
if bud buys from zest: 14* 240 + 18* 600 +21*360 = 21720
if bud buys from zeel: 16*240 + 18* 600 + 19*360 = 21480
Since 21720 > 21480
thus bud should buy from the zeal
Therefore, Bred should buy from Zeel, and Bill should buy from Zest.
Learn more about Matrix multiplication here:
https://brainly.com/question/28180105
#SPJ2
What is 30% of 70? A:9
B:12 C:19 D:21
Answer:
Step-by-step explanation:
21
whats 5+7? I need this in like 2 secs tysm :)
Answer:
12 it's that simple easy math
Write the slope intercept equation of a line that has a slope of -3/5 & y-intercept of (0,-4)
Answer:
y= -3/5x-4
Step-by-step explanation:
Is a square a type of rectangle or is a rectangle a type of square? Explain why or why not?
Answer:
A square is a rectangle.
Step-by-step explanation:
A square is a quadrilateral with all four angles right angles and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Which means, every square is a rectangle because it is a quadrilateral with all four angles right angles.
Answer:
i think a rectangle is a type of square
Step-by-step explanation:
becuase you can put a square into a rectangle but rectangle cant go into a square, a rectangle is bassicly just an elongated square
I need help ASAP
which describes the slope of this line
Joey made a deposit into an account that earns 6%
I need help with 8,9 and 10
Answer:
Answer 8: D
Answer 9: A
Step-by-step explanation:
8D: 5(12)/4-1=14
9A: Plug in -5(1)+2 = -3, so the point is (1,-3)
Question 10 is not visible
59% of 127 i need the steps btw i am in middle school
Answer:
74.93
Step-by-step explanation:
59 x 127 /100
= 74.93
Answer:
74.93
Step-by-step explanation:
You just need to take 127 and multiply it by 59%:
127 · 0.59 = 74.93
Una nadadora entrenó todos los días durante 21días. El primer día nadó 15 minutos, y cada día nadaba 5 minutos más que el día anterior. ¿Cuánto tiempo nadó el último día? ¿Y a lo largo de las tres semanas? Expresa los resultados en horas y minutos.
Responder:
1 hora 55 minutos; 22 horas 45 minutos
Explicación paso a paso:
Dado que:
Tiempo el primer día = 15 minutos
Minutos adicionales cada día siguiente = 5 minutos
Número total de días
Usando la fórmula del enésimo término de una progresión aritmética:
Tn = A + (n - 1) d
A = primer trimestre = 15
d = diferencia común = 5
n = enésimo término
Tiempo de nado el último día (n = 21)
T21 = 15 + (21 - 1) 5
T21 = 15 + 20 * 5
T21 = 15 + 100
T21 = 115 minutos
= 1 hora 55 minutos
SEGUNDO.)
Suma de minutos durante las 3 semanas
Suma de n términos:
Sn = n / 2 * (primer término + último término)
Primer término = 15
Último trimestre = a21 = 115 minutos
n = número de términos = 21
Por lo tanto,
Sn = 21/2 * (15 + 115)
Sn = 10,5 * (130)
Sn = 1365 minutos
= 22 horas 45 minutos
IS THIS A FUNCTIONS OF NOT
I NEED HELP
Answer:
graph 4: yes
graph 5:no
graph 6: no
graph7: no
graph 8: yes
graph 9: no
Step-by-step explanation:
correct me if im wrong
and use vertical line test to figure these put next time :3
can you list these measurements from least to greatest. 2.6cm 3cm 2.7cm
Answer:
3cm, 2.7cm, 2.6cm
Step-by-step explanation:
3 is higher than 2.7 and 2.6
what is the slope-intercept form of a line
Using the equation y=4x-1 to create a table
A globetrot contains 3 red balls, 2 green balls and 6 blue balls if we choose a ball then another ball without putting the first one back in the globetrot what is the probability that the first ball will be redundant the second ball will be blue?
Answer:
9/55
Step-by-step explanation:
I don’t like explaining :/ If this is wrong I’m terribly sorry :(
Answer:
Prob = (3 / 11) * (6 / 10) = 18 / 110 = 9 / 55
Step-by-step
The probability that the first is red equals 3/11 (favourable outcomes divided by possible outcomes). Under condition that this occurs the probability that the second is blue equals 6/10. The probability of the described event is then the product of these factors. This according to the rule P(A and B)=P(A)*P(B|A).
here you go sis!
Bananas cost $1.05 a pound at the market. If Conner
bought 3.4 pounds, what was the total cost?
Answer:
I think the answer is 3.57 because 3.4 x 1.05 is 3.57
HELP PLSPLS QUICKPLSSSSSSSSSSSS
Answer:
Step-by-step explanation:
11/12 - 5/8 = ? Make the denominator the same (multiply the first term by 2 and the second term by 3).
22/24 - 15/24 = ? Just simplify/solve. 22-15=7.
7/24
OPTION A = 7/24
A lil help pleaseeeee
Answer:
13.04 times ten to the power of 6
Step-by-step explanation:
Answer:
hes right
Step-by-step explanation:
Pls help me. 7th grade math
Answer:
there is a 2/6 chance because there are 2 odd numbers and being spun twice.
Step-by-step explanation:
Answer:
there is a 2/6 chance
Im in 7th grade math lma.o
Problem ID: PRABESEJ
Answer:
??
Step-by-step explanation:
(1,2) (1,8) (3,6) (4,8) is it a function?
Answer:
No, because the x value of 1 correlates to two different y values.
Step-by-step explanation:
A function is defined by an x value having exactly one corresponding y value. In this case, the x value of 1 corresponds to both the y values of 2 and 8, therefore invalidating it as a function.
Hope this helps!
Answer:
No, this table is not a function.
Step-by-step explanation:
[tex]x: 1, 1, 3, 4\\y: 2, 8, 6, 8[/tex]
In the x column, you can see two one's [tex](1)[/tex]. Also, in the y column, you can see two eight's [tex](8)[/tex].
