Answer:
The number of boys are 18 and the number of girls are 30.
Step-by-step explanation:
The ratio of number of girls to the boys = 3 : 5
Let the number of girls is g and boys is b initially.
b : g = 3 : 5
5 b = 3 g ..... (1)
Now, girls are 6 + g and boys are b - 9
So, the ratio is
(b - 9) : (6 + g) = 1 : 4
4 b - 36 = 6 + g
4 b - g = 42 .... (2)
From ( 1 ) and ( 2 )
[tex]4 b - \frac {5 b}{3}= 42\\\\\frac{7 b }{3} = 42\\\\b = 18[/tex]
And , g = 5 x 18/3 = 30
So, the number of boys are 18 and the number of girls are 30.
what is the solution to the system of equations?
6x+2y=6
7x+3y=5
Answer:
x = 2, y = -3
Step-by-step explanation:
6x + 2y = 6 (multiplying by 3)
18x + 6y = 18 -----> (i)
7x + 3y = 5 (multiplying by 2)
14x + 6y = 10 -----> (ii)
Subtracting (i) from (ii)
18x + 6y - 14x + 6y = 18 - 10
4x = 8
x = 2
Substituting in (ii)
14x + 6y = 10
14(2) + 6y = 10
28 + 6y = 10
6y = -18
y = -3
What is in ? Record the measurement.
Answer:
In could be mean inches? otherwise there is not enough context to know sorry :/
Step-by-step explanation:
Answer:the answer is 90
4(a + b) - x²(a + b)
=(4-x^2)(a+b)
=(2^2-x^2)(a+b)
=(x+2)(x-2)(a+b)
I think it hopefull to you
Answer:
(a+b) (2-x)(2+x)
Step-by-step explanation:
2^2
The term (a+b) is the same
We can factor this out
(a+b) (4-x^2)
(4-x^2) is the difference of squares (2^2 - x^2)
We know the difference of squares is (a^2 - b^2 ) = (a-b)(a+b)
(a+b) (2-x)(2+x)
If you want to distribute the terms
4a+4b -x^2a - x^b
The quantity p varies inversely as the square of (q + 2)
p=5 when q = 3
Find p when q = 8
Answer:
p = 1.25
Step-by-step explanation:
varies inversely
p (q + 2)² = k
-----------------------
Find k
p=5 when q = 3
5(3 + 2)² = k
5(25) = k
125 = k
----------------------
Find p when q = 8
p(8 + 2)² = 125
p(100) = 125
divide both sides by 100
p = 1.25
is 2x+3y=5 a straight-line graph
Answer:
Yes, it is
Step-by-step explanation:
A straight line graph is of the general form;
y = mx + b
where m is the slope and b is the y intercept
We can rewrite what we have as
3y = -2x + 5
y = -2x/3 + 5/3
As we can see, it can be expressed in the general form and that makes it a straight graph
What is the domain of the function shown in the table? y X -2 -1 0 1 1 2 3 O A. (-2,-1,0,1,2,3} O B. (-2,0),(-1,1),(0, 2), (1,3)
Answer:
(0,2)
Step-by-step explanation:
the bracket cancel
Compare. Use >, <, or =.
123,546,789 >, <, or =, 123,456,789
please help
Step-by-step explanation:
123,546,789 > 123,456,789
#CMIIWWhich Statement or Inequalities describe the number line graph?
Can someone pls help me?
Answer:
4 a
9 b
i think its a answer
Answer:
if we have to choose the option than it might be B but i didn't get question
this we havent learned but teacher gave us for end of year est plz help
Answer:
15
Step-by-step explanation:
Finding total number of pupils(y)
3/y x 360°=27°
3x360°/y=27°
1080°/y=27°
1080°=27°y
1080°/27°=27°y/27°
40=y
Number of pupils who said that Maths was their favorite (z)
z/40x360°=135°
360°z/40=135°
360°z=135°x40
360°z=5400°
360°z/360°=5400°/360°
z=15
pls help plsssss sss sss sss s
25√2
Step-by-step explanation:
Since angle BAC and angle ABC are equal, AB = BC.
Let x = AB = BC
By the Pythagorean theorem,
AB² + BC² = AC²
x² + x² = 50²
2x² = 2500
x²= 1250
x = √1250
x = √(2 • 625)
x = √2 • √625
x = √2 • 25
x = 25√2
x = AB = 25√2
In parallelogram QRST if m∡TQR=50∘ find m∡STQ.
Answer:
[tex] {x }^{o} = {130}^{o} [/tex]
Step-by-step explanation:
[tex] {50}^{o} + {x}^{o} = {180}^{o} [/tex]
[tex] {x}^{o} = {180}^{o} - {50}^{o} [/tex]
[tex] {x }^{o} = {130}^{o} [/tex]
Hope it is helpful....Answer:
x= 130°
Step-by-step explanation:
hope it helps
Can someone answer this?
=============================================================
Explanation:
There are n = 7 sides to this polygon (so it's a heptagon)
The interior angles add up to 180(n-2) = 180*(7-2) = 900 degrees.
So that means,
69+284+62+62+242+81+a = 900
800+a = 900
a = 900-800
a = 100
how do i solve for x with an equation that says 19 = x - 3
Answer: x = 22
Step-by-step explanation: Since x is unknown, we want to isolate it and determine what it equals. We know that x - 3 gives us 19, but we don't want to know what x - 3 is, just x. So we can add three to both sides of the equation, to get our answer and keep it balanced. As a result, we get x = 22
Answer:
x = 22
Step-by-step explanation:
19 = x - 3
Add 3 to each side
19 + 3 = x - 3 + 3
Simplify
22 = x
25 + 8 (7y - 3) + 3y
Answer:
59y+1
Step-by-step explanation:
25 + 8 (7y - 3) + 3y
Distribute
25+56y-24+3y
Combine like terms
59y+1
Devons current financial goals are to reduce his credit card debt start a retirement plan and save for a down payment on a house which smart goal attribute in the table applies to each of devons financial goals
Answer:
timely, timely,measurable
Step-by-step explanation:
Answer:
specific, timely, measurable
Step-by-step explanation:
i took the test on plato
Kevin buys the items listed below at a grocery store. 3 packages of chicken priced at $12.36 per package 12 pound of broccoli priced at $1.98 per pound 1 gallon of milk priced at $6.48 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $0.45 in change. What amount of money does Kevin use to pay for the items?
Answer:
67.77$ Kevin use to pays for the items.
Step-by-step explanation:
According To the Question, We have
Kevin buys the item listed below at a grocery store
3 Packages of chicken priced 12.36$ per package = 12.36×3=37.08$12 Pound of Broccoli Priced 1.98$ per pound = 1.98×12 = 23.76$1 gallon of milk priced 6.48$ per gallon = 6.48×1 = 6.48$Now, Kevin Pays for the items and receives 0.45$ in Change.
Amount of Money Kevin Pays
6.48$+23.76$+37.08$+0.45$ = 67.77$
The sides of ∆ are 8 cm, 7 cm and 5 cm respectively. Find its semi-perimeter
perimeter = length plus
breadth
8cm +7cm + 5cm
= 20
The sum of 20 and b is equal to 32.99
need help
Answer:
b is 12.99
Step-by-step explanation:
Angle of elevation and depression: A boy 1.5m tall is 15m away from the hut. what is the angle of elevation of the top of the hut.
Answer:
13.5m
Step-by-step explanation:
The boy is 1.5m tall so you subtract that by 15m and you get 13.5m
Sean las proposiciones p : "Cinco es mayor que diez" y q : "Dos más dos son cuatro". Escriba en lenguaje natural la proposición ∼p∧q
Answer:
"cinco es menor o igual que diez, y dos más dos son cuatro"
Step-by-step explanation:
Primero definamos los simbolos utilizados.
∧ significa "y"
∼ es el simbolo de la negación, es decir:
∼p significa "no p"
terminemos de resolver el problema para que el concepto quede claro.
si:
p = cinco es mayor que diez (5 > 10)
entonces:
∼p = cinco es menor o igual que diez (5 ≤ 10)
y
q = dos más dos son cuatro. (2 + 2 = 4)
entonces:
∼p∧q se escribe como:
"cinco es menor o igual que diez, y dos más dos son cuatro"
A yard in the shape of a square measures a ft on each side. A flower bed is dug up in the shape of a triangle with a/4 ft height of the triangle and a/2 ft base of the triangle. How much yard area is left over?
Answer:
[tex]A_X=\frac{15x^2}{16}[/tex]
Step-by-step explanation:
From the question we are told that:
Base of Flower bed [tex]b=\frac{x}{2}[/tex]
Height of Flower bed [tex]h=\frac{x}{4}[/tex]
Generally the equation for Area of garden left A_X is mathematically given by
[tex]A_X=Area\ of\ Garden\ A_g\ - Area\ of\ flower\ bed\ A_f[/tex]
Where
[tex]A_f=b*h[/tex]
[tex]A_f=\frac{1}{2}*\frac{x}{2}*\frac{x}{4}[/tex]
[tex]A_f=\frac{x^2}{16}[/tex]
Therefore
[tex]A_X= A_g - A_f[/tex]
[tex]A_X=x^2-\frac{x^2}{16}[/tex]
[tex]A_X=\frac{15x^2}{16}[/tex]
(2y + x)^
(4x)
(2y - x)°
Find the value of x.
A 9
В. 18
C 45
D. 90
Answer:
they are opposite degrees so we can say that 4x=2y-x
Step-by-step explanation:
5x=2y and we complete 4x+(2y+x)=180. and then 5x+2y=180. put 2y from 5x. 4y=180 y= 45 and x= 18°
Now,
(2y + x)° + (2y - x)° = 180° ( straight angle )
or, 2y + x + 2y - x = 180°
or, 4y = 180°
◆ y = 45°
Then,
4x = 2y - x ( vertically opposite angle )
or, 4x = 2*45° - x
or, 5x = 90°
or, x = 90°/5
◆ x = 18 °
I hope it's help you...
Mark me as brainliest...
What is the slope of the line that passes through the points (3,2) and (-4,3)?
Answer:
slope = 1/-7
Step-by-step explanation:
We have two points which are (3,2) and (-4,3) .
To find slope , use the slope formula
m = ( y² - y¹ ) / ( x² - x¹)
Where,
m is the slope of line.( y² - y¹ ) = ( 3 - 2 )( x² - x¹) = ( - 4 - 3)substitute the values
m = ( 3 - 2 ) / ( - 4 - 3)
m = 1/-7
Hence, slope of line is 1/-7
Brian invests £1500 into his bank account. He receives 2% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate
Answer:
1590
Step-by-step explanation:
1500 x 0.02
= 30
30 x 3
= 90
1500+90 = 1590
(ps.. there was an equation for this i just forgot it, you can look it up and check it)
i need help like asap!!!!
Answer:
to do this lets first solve this so
5*5*5*5=625
5^-3=0.008
0.008^2=0.000064
0.000064*625=0.4
so all equations that are equal to 0.4 are right which is C
Dado un rectángulo cuya base, lado mayor es 15 cm y cuya altura, lado menor, es 10 cm. Calcular el perímetro y el área
ayuda es para hoy doy 5 estrellas
Answer:
Área de un rectángulo = 150 cm²
El perímetro de un rectángulo = 50 cm
Step-by-step explanation:
Área de un rectángulo = largo × ancho (alto)
= 15 cm × 10 cm
= 150 cm²
El perímetro de un rectángulo = 2L + 2W
Donde L = longitud = 15 cm
W = Ancho = 10 cm
= 2 (15 cm) + 2 (10 cm)
= 30 + 20
= 50cm
Which of these shows 9 + 4p rewritten using the commutative property of addition?
4p + 9
9p + 4
9 − 4p
4p − 9
Answer:
[tex]4p + 9[/tex]
Step-by-step explanation:
Commutative property of addition:
Changing the order of addends does not change the sum.
Hope it is helpful...Answer:
4p+9
Step-by-step explanation:
Addition is the same reversed.
For example,
7+5=12
AND
5+7=12
Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he earn?
Answer:
8.8%
Step-by-step explanation:
We first divide the new amount by the original and close it with brackets.
Our one year will be shown as 1/1 as an indices
(761.60/700)^1/1
= 1.088
We then convert it to 0.088 and times it by 100.
0.088×100= 8.8% Compound interest rate.
This is correct as:
700×1.088= 761.6
Have a nice day! :)
Here is some information about a holiday.
7 night holiday
$340 per person
8% discount if you book before 31 March
On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.
Answer:
$625.6
Step-by-step explanation:
Information about a holiday:
7 night holiday
$340 per person
8% discount if you book before 31 March
Number of people Naseem booked the holiday for = 2
Date of booking of the holiday = 15 February
Total cost of the holiday per person = cost per person - discount before March 31
= $340 - 8% of $340
= 340 - 8/100 * 340
= 340 - 0.08 * 340
= 340 - 27.2
= $312.8
Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person
= 2 * $312.8
= $625.6