Answer:
The age of mother is:
40 years
Step-by-step explanation:
2a = 5b
b = 16
a = age of a mother
b = age of her son
2a = 5*16
2a = 80
a = 80/2
a = 40
probe:
2*40 = 5*16 = 80
Simplify: 2 - 6x + 8x3 + 1 = 23
the answer x=8.5
if ur trying to solve for x
Sam counted 12 liters of hand sanitizer in the storage cabinet I lefills tihe
dispensers in seven of the examination rooms as follows: 350 ml, 600
ml, 475 ml, 580 ml, 650 ml, 720 ml, and 500ml
After filing the dispensers how many liters of sanitizer remain in the storage cabinet?
Answer:
8.125 Litres
Step-by-step explanation:
Given:
Initial volume of hand sanitizer in the storage = 12 litres
Volume of dispensers:
350 ml
600 ml
475 ml
580 ml
650 ml
720 ml and
500 ml
To find:
Volume of sanitizer left after filling all the dispensers = ?
Solution:
The volume of sanitizer left can be calculated by subtracting sum of volumes of all the dispensers from the Initial total volume of the storage cabinet.
First of all, let us convert them into the same units i.e. litres.
We know that 1 Litre = 1000 ml
So,
350 ml = 0.350 Litres
600 ml = 0.600 Litres
475 ml = 0.475 Litres
580 ml = 0.580 Litres
650 ml = 0.650 Litres
720 ml = 0.720 Litres
500 ml = 0.500 Litres
Total volume of dispensers = 0.350 + 0.600 + 0.475 + 0.580 + 0.650 + 0.720 + 0.500 = 3.875 Litres
Let us subtract the total volume of dispensers from the initial volume of storage cabinet to find the volume remaining the storage cabinet.
Volume that remain in the storage cabinet = 12 - 3.875 = 8.125 Litres
PLEASE HELP IM STUCK
Answer: The table on the top right corner
Answer: Answer in the steps
Step-by-step explanation:
x y
0 3
1 1
2 -1
3 -3
This a linear function because as the y values decrease by a constant amount the x values also increase by a constant amount.
what is the solution to 6x − 8 > 4x + 26
Answer:
x > 17
Step-by-step explanation:
Combine like terms, We get:
2x > 34, or
x > 17
how do you simplify ratios
Answer: Simplifying ratios is just like simplifying fractions. Think of ratios as fractions. You divide a number that both numerator and denominator can be divided by.
Example
5/10 = 1/2
How did we get 1/2? Simple! You divide the numerator and denominator by 5.
5/10÷5/5=1/2
You do the same for ratios but the only difference is instead of putting a fraction bar (/) you put a colon (:)
Let's try another example but with a ratio!
Example
5:10 = 1:2
How did we get 1:2? Simple! Again we divided by 5 just like we did with the fraction example! So really ratios are just like fractions!
5:10÷5:5=1:2
Remember
The fraction bar is /
The ratio bar is :
Ratios are just like fractions but the symbol can sometimes trick people.
In a direct or linear relationship, as one variable increases, what happens to the other variable?
It increases
Answer:
In general direct variation suggests that two variables change in the same direction. as one variable increases the other also increases and as one decreases the other also decreases.
Step-by-step explanation:
i hope this helps.
A wise man once said, "500 reduced by twice my age is 340." What is his age?
Answer:
500 - 2a = 340
500 - 2a - 500 = 340 - 500
-2a = -160
-2a/-2 = -160/-2
a = 80
Step-by-step explanation:
Nanette has 5 dimes and 5 pennies in her
pocket. What's the probability that Nanette
pulls out a dime and then a penny from
her pocket? (Assume that she doesn't put
the first dime back in her pocket.)
Answer:
2/9
Step-by-step explanation:
5 dimes and 5 pennies = 10 coins
P( dime) = number of dimes / total
=5/10 = 1/2
keep the dime
4 dimes and 5 pennies = 9 coins
P( penny) = number of penny / total
=4/9
P( dime, keep, penny) = 1/2 * 4/9 = 2/9
=================================================
Explanation:
There are 5+5 = 10 coins total, of which 5 are dimes. The probability of selecting a dime is 5/10 = 1/2.
The coin is not put back, so we have 10-1 = 9 coins overall. Of this, 5 are pennies. The probability of pulling a penny out is 5/9. Note how this is dependent on the first event above.
From here, multiply the two probabilities
(1/2)*(5/9) = 5/18
The rule used here is
P(A and B) = P(A)*P(B given A)
where A and B are the events "pulling out a dime on the first selection" and "pulling out a penny on the second selection"
.0091 the neatest thousandths
Answer:
the answer is .009 rounded to the nearest thousandths
Elena drank 3 liters of water yesterday. Jada drank 34 times as much water as Elena. Lin drank twice as much water as Jada. Did Jada drink more or less water than Elena? Explain how you know. Did Lin drink more or less water than Elena? Explain how you know.
Complete question :
Alana drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.
Did Jada drink more or less water than Elena? Explain how you know
Did Lin drink more or less water than Elena? Explain how you know.
Answer:
Kindly check explanation
Step-by-step explanation:
Amount of water drank:
Elena = 3 litres
Jada's consumption = 3/4 times Elena's consumption,
Hence Jada's consumption = (3 * 3/4) = 9/4 litres = 2 1/4 litres
Lin drank twice as much water as Jada, Hence,
Lin's consumption = (2 * 9/4) = 18/4 litres = 4 1/2 litres
Did Jada drink more or less water than Elena?
Jada drank less than Elena.
Explain how you know:
Jada drank 2 1/4 litres compared to Elena, who drank 3 litres
Did Lin drink more or less water than Elena?
Lin drank more than Elena
Explain how you know.
Lin drank 4 1/2 litres, which is greater than the 3 litres drank by Elena.
The points (-7,-8) and (8,-8) fall on a particular line. What is its equation in slope-intercept form?
WILL MARK THE BRAINLIEST!! PLEASE HELP If ∠1 = 3x, ∠2 = 5x + 18, and s ⊥ r, find m∠1. Question 5 options: A) 27° B) 63° C) 61° D) 9°
Answer:
A. 27°
Step-by-step explanation:
Given that s is perpendicular to r, and <1 = 3x, <2 = 5x + 18, therefore:
m<1 + m<2 = 90°
3x + (5x + 18) = 90°
Solve for x using this equation
3x + 5x + 18 = 90
8x + 18 = 90
Subtract 18 from both sides
8x + 18 - 18 = 90 - 18
8x = 72
Divide both sides by 8
x = 9
Find m<1
m<1 = 3x
Plug in the value of x
m<1 = 3(9) = 27°
Which equation can be used to find the length of AC?
A
10 in.
b
40°
C
B
CU
O (10)sin(40°) = AC
O (10)cos(40°) = AC
1
= AC
sin(40)
10
cos(40
= AC
Answer:
AC = 10sin40°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] , then
sin40° = [tex]\frac{AC}{10}[/tex] ( multiply both sides by 10 )
10sin40° = AC
The length of the side AC of the triangle is AC = 10 ( sin ( 40 )° )
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of ∠ABC = 40°
The height of the triangle AC = b
The base of the triangle BC = a
The hypotenuse of the triangle AB = 10 inches
Now , for a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
And , the trigonometric relation is
sin 40° = opposite side / hypotenuse
sin ( 40 )° = AC / 10
Multiply by 10 on both sides , we get
AC = 10 ( sin ( 40 )° )
Hence , the measure of the hypotenuse of triangle is AC = 10 ( sin ( 40 )° )
To learn more about triangle click :
https://brainly.com/question/16739377
#SPJ5
I will give you 30 points ? Need it quick please
Answer:
x = 4
Length = 19 feet
Width = 11 feet
Step-by-step explanation:
Area = Length x Width
Area = 209 ft²
Length = (4x + 3)
Width = (4x - 5)
Find:
x
Length
Width
Area = Length x Width
209 = (4x + 3) * (4x - 5)
209 = 16x² - 8x - 15
16x² - 8x - 15 = 209
16x² - 8x - 15 - 209 = 209 -209
16x² - 8x - 224 = 0
use quadratic equation to solve x:
-(-8) + sqrt( -8² - 4 * 16 * (-224))
x = --------------------------------------------
2 * 16
x = 4, x = -(7/2) ----therefore use x = 4
solve for L:
Length = (4x + 3)
Length = (4 * 4 + 3)
Length = 19 feet
solve for W:
Width = (4x - 5)
Width = (4 * 4 - 5)
Width = 11 feet
check:
Area = Length x Width
209 = (4x + 3) * (4x - 5)
Area = Length x Width
209 = 19 * 11
209 = 209 ----- OK
when 5 times a number is added to twice the number the result is 10. what is the number?
Answer:
10/7
Step-by-step explanation:
5x+2x=10
7x=10
x=10/7
i need help asap someone pleae help me
Problem 1
We have two possible answers here.
Either AC = DF is needed, or AB = DE is needed
We can't use BC = EF, as that would be ASA. The sides cannot be between the marked angles. With AAS, the sides are not between the angles.
Note: AC pairs up with DF because both segments have an endpoint at an angle with one arc marking. AB pairs up with DE because one endpoint has a double arc marking.
==========================================
Problem 2
We have a pair of congruent sides (due to the tickmarks) and a pair of congruent angles. We need another pair of angles. We can't pick angle B = angle E, as that would give us ASA. So we must pick the other pair of angles
angle A = angle D
If angle A = angle D, then we have enough to use AAS.
I want to buy 4 tickets to go to Disney World. They are currently on sale for with a 12% discount. Write the SIMPLIFIED expression to represent this scenario. *
Answer:
3.52x
Step-by-step explanation:
Let
Quantity of tickets=4
Price of tickets=x
Discount=12%
This means, you will pay 100% -12%
=88%
Total amount payable=discount (quantity * price)
= 88% ( 4 * x )
= 0.88 (4x)
= 3.52x
(2t-3)^3, can you help me?, please?
Answer:
8t^3-36t^2+54t-27
Step-by-step explanation:
(2t-3)^3
(2t-3)(2t-3)(2t-3)
Multiply the first two terms
(4t^2 -6t -6t+9)(2t-3)
Combine like terms
( 4t^2 -12t +9) ( 2t-3)
Multiply
2t*( 4t^2 -12t +9) -3 ( 4t^2 -12t +9)
Distribute
8t^3 -24t^2 +18t-12t^2 +36t-27
Combine like terms
8t^3-36t^2+54t-27
Answer:
8t³ - 36t² + 54t - 27
Step-by-step explanation:
(2t - 3)³
(2t - 3)(2t - 3)(2t - 3)
FOIL the first two binomials - first - outer - inner - last
(2t - 3)(2t - 3)
= 4t² - 6t - 6t + 9
= 4t² - 12t + 9
multiply this polynomial by the last binomial
(4t² - 12t + 9)(2t - 3)
distribute 2t
2t • 4t² = 8t³
2t • -12t = -24t²
2t • 9 = 18t
distribute -3
-3 • 4t² = -12t²
-3 • -12t = 36t
-3 • 9 = -27
combine
8t³ - 24t² + 18t - 12t² + 36t - 27
simplify
8t³ - 36t² + 54t - 27
Linda scored a total of 265 points in mathematics, physics and English. She scored 7 more marks in mathematics than in English and she scored 5 more marks in physics than in mathematics. Find her scores in all three subjects.
Answer: E 265 M 272 P 277
Step-by-step explanation:
English 265
math 265+7=272
Physics 272+5=277
Eloise scored a total of 268 points during the basketball season. Of her total points, l points came from left handed shots. She scored 225 points from right handed shots write an equation to describe the situation and find the value of l for left handed shots
Answer:
[tex]\bold{268=225+}l[/tex]
43
Step-by-step explanation:
Given that:
Total points scored in basketball season, T = 268
Points scored from right handed shots, R = 225
Points scored from left handed shots = [tex]l[/tex]
To find:
To write an equation to describe the situation and find the value of [tex]l[/tex] for left handed shots ?
Solution:
We know that the points can be scored in basketball either by right hand shots or by left hand shots.
In other words, we can say that:
Total points scored in basketball season = points scored from right handed shots + points scored from left handed shots
i.e.
[tex]T = R + l\\\Rightarrow \bold{268=225+}l[/tex]
So, the equation is:
[tex]\bold{268=225+}l[/tex]
Now, let us find the value of [tex]l[/tex] from the above equation:
[tex]l=268-225\\\Rightarrow \bold{l = 43}[/tex]
Number of points scored from left handed shots = 43
In a camp, 16.1 kg of rice is cooked each week. Find the quantity of rice cooked in the month of October.
Answer:
Quantity of rice cooked in October = 71.3 kg
Step-by-step explanation:
Given:
Quantity of rice cooked per week = 16.1 kg
Number of days in a week = 7
Number of days in October = 31
Find:
Quantity of rice cooked in October
Computation:
Quantity of rice cooked in October = [Number of days in October / Number of days in a week] Quantity of rice cooked per week
Quantity of rice cooked in October = [31 / 7]16.1
Quantity of rice cooked in October = 71.3 kg
three times the sum of d and 4 is 32
Answer:
d=6 2/3 or 6.6666
Step-by-step explanation:
3(d+4)=32
3d+12=32
3d=32-12
3d=20
d=6 2/3 or 6.6666
If (5 t the power of 4)m = 5 to the power of 12, what is the value of m? (4 points) 2 3 5 8
Answer:
m = 3
Step-by-step explanation:
Given
[tex]5^{4m}[/tex] = [tex]5^{12}[/tex]
Since the bases on both sides are equal ( both 5) the equate the exponents.
4m = 12 ( divide both sides by 4 )
m = 3
Adam borrowed $17 from his brother on Monday, and then an additional $5 on Tuesday. How much money will Adam have to pay his brother in order to be free of debt?
Answer:
$23
Step-by-step explanation:
Answer:
$23 is how much he will owe
8.8 + 7.8x = -7.9 - 5.5x
Round to the nearest tenth
Answer:
The value of x in this equation is -1.3
Step-by-step explanation:
8.8 + 7.8x = -7.9 - 5.5x
Subtract 8.8 on both sides of the equation.
7.8x = -16.7 - 5.5x
Add 5.5x on both sides of the equation.
13.3x = -16.7
Divide 13.3 on both sides of the equation. Don't forget to round to the nearest tenth.
x = -1.3
Answer:
x = -1.3
Step-by-step explanation:
8.8 + 7.8x = -7.9 - 5.5x
Add 5.5x to each side
8.8 + 7.8x+5.5x = -7.9 - 5.5x+ 5.5x
8.8+13.3x = -7.9
Subtract 8.8 from each side
8.8 + 13.3x - 8.8 = -7.9 - 8.8
13.3x = -16.7
Divide by 13.3
x = -16.7/13.3
x =-1.255639098
Rounding to the nearest tenth
x = -1.3
Factor the trinomial below.
x2 + 3x - 18
A. (x + 6)(x-3)
B. (x+9)(x-2)
C. (X-9)(x+2)
D. (x-6)(x+3)
Answer:
A
Step-by-step explanation:
Given
x² + 3x - 18
Consider the factors of the constant term (- 18) which sum to give the coefficient of the x- term (+ 3)
The factors are + 6 and - 3, since
6 × - 3 = - 18 and 6 - 3 = + 3, thus
x² + 3x - 18 = (x + 6)(x - 3) → A
Answer:
( x+6) ( x-3)
Step-by-step explanation:
x^2 + 3x - 18
What 2 numbers multiply to -18 and add to 3
6*-3 = -18
6+-3 = 3
( x+6) ( x-3)
Pls help with this immediately!!!! Under 15 minutes!!!! Offering more than 5 points !!!
Tibet Mein kheti Karne Ka Tarika
Answer:
Step-by-step explanation:
GO TO TIBET AND DO KHETI AS YOU DO IN "INDIA"
Answer:
Terrence farming, removing snow use stronger tools ,heavy machines, wait for the weathering of rocks
please mark as brainliest
What is the value of x in the equation 4x + 8y =40, when y=0.8
Answer:
x= 8.4
Step-by-step explanation:
y=0.8
4x + 8y =40
4x + ( 8 x 0.8) = 40
4x + (6.4) =40
4x = 40 - 6.4
4x = 33.6
x = 8.4
Aug 14, 8:23:51 PM
What is the total area, in square centimeters, of the shaded sections of the trapezoid
below?
6.1 cm
9.5 cm
6.2 cm
8.1 cm
Hey there! I'm happy to help!
First, let's find the area of the total trapezoid. To do this, you add the top and bottom side, divide it by two, and then multiply by the height.
We add up the values that make up the top side so we can find find its length.
6.1+8.1+9.5=23.7
The bottom side is 8.1
We add the top and bottom sides.
23.7+8.1=31.8
We divide by 2.
31.8/2=15.9
We multiply by the height, which we can see is 6.2
15.9×6.2=98.58
Now, we find the area of the rectangle that isn't shaded.
6.2×8.1=50.22
We subtract this from the total area of the trapezoid to find the total area of the two shaded triangles.
98.58-50.22=48.36
Therefore, the shaded regions have a total area of 48.36 cm².
Have a wonderful day! :D