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kow [346]
3 years ago
12

Heidi's mom made flower arrangements for a party. She made 4 times as many rose arrangements as tulip arrangements. Heidi's mom

made 40 arrangements. How many flower arrangements of each type did Heidi's mom make? Complete the bar model. write an equation and solve
Mathematics
2 answers:
djyliett [7]3 years ago
7 0
8 tulip arrangements
32 rose arrangments
juin [17]3 years ago
6 0

Answer:

<em>Heidi'd mom made 32 rose arrangements and 8 tulip arrangements.</em>

Step-by-step explanation:

Let the number of rose arrangements be = x

Let the number of tulip arrangements be = y

Heidi's mom made 4 times as many rose arrangements as tulip arrangements.

We get the equation;

x=4y        

Heidi's mom made 40 arrangements. We get the second equation:

x+y=40          

Substituting the value of x from first equation to second equation, we get

4y+y=40

=> 5y=40

Dividing both sides by 5;

y = 8

And x = 4y

So, x=4(8)=32

x = 32

<em>Hence, Heidi'd mom made 32 rose arrangements and 8 tulip arrangements.</em>

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A segment has endpoints at (-2,3) and (7,9), How long is the segment?
trasher [3.6K]
l=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(7-(-2))^2+(9-3)^2}=\sqrt{9^2+6^2}\\=\sqrt{81+36}=\sqrt{117}=10.82 \ units
4 0
3 years ago
ky has 3 times more books than grant and grant has 6 fewer books than Jaime if the total combined number of books is 176 how man
sergiy2304 [10]
Number of books each of them have:

Jaime: x
Grant: x - 6
Ky: 3 (x - 6)

There are 176 books in total, so we can write it down as:

176 = x + x - 6 + 3 (x - 6)
176 = x + x - 6 + 3 * x + 3 * (-6)
176 = x + x - 6 + 3x - 18
176 = 2x - 6 + 3x - 18
176 = 5x - 24                        / + 24 (both sides)
5x = 200                              / ÷ 5 (both sides)
x = 40

Doublecheck:

Jamie: 40
Grant: 40 - 6 = 34
Ky: 3 (40 - 6) = 3 * 34 = 102

102 + 34 + 40 = 176, so it's correct :)
5 0
3 years ago
Read 2 more answers
Which is the equation of a line that is perpendicular to 8x + 6y = –5?
IrinaVladis [17]

The perpendicular line will have an equation of y=3/4x-3/4

To find this, we first have to solve our equation for slope intercept form.

8x + 6y = -5 ----> subtract 8x

6y = -8x + -5 ----> divide by 6

y = -4/3x - 5/6.

So we know the slope of this equation to be -4/3. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of 3/4. Since B is the only option with that slope, we know it to be the correct answer.

4 0
3 years ago
How do you simplify -(5x+1)
Roman55 [17]
-1(5x+1)
-5x-1
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6 0
3 years ago
Una empresa fabrica dos productos, X y Y. Cada cantidad del articulo X producida requiere dos horas de trabajo en una taladrador
Zarrin [17]

Answer:

la respuesta esta abajo

Step-by-step explanation:

a) Sea x el número del artículo x mientras que y representa el número del artículo y.

Dado que cada cantidad de artículo x requiere 2 horas de trabajo de perforación, mientras que cada cantidad de artículo y requiere 5 horas de trabajo de perforación. Hay un máximo de 40 horas disponibles, por tanto el modelo se da como:

2x + 5y ≤ 40

b) La trama se trazó utilizando la herramienta gráfica en línea de geogebra.

c) Para 10 unidades de X y 5 unidades de y:

2 (10) + 5 (5) = 45> 40

Por lo tanto, esto no sería posible porque requerirá 45 horas de perforación, lo que es más que el máximo de 40 horas disponibles.

8 0
2 years ago
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