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pentagon [3]
2 years ago
5

Isabella and her brother, Santiago, want to make their grandma's famous fruit salad, but they can't remember how to make the hon

ey-lime dressing. They decide to make two versions with different amounts of sweet honey and tangy lime, then compare them. Isabella mixes 4 tablespoons of honey and 2 tablespoons of lime juice. Santiago mixes 5 tablespoons of honey and 4 tablespoons of lime juice. Whose dressing is sweeter?
Mathematics
1 answer:
Talja [164]2 years ago
5 0

Answer:

Isabella

Step-by-step explanation:

4:2, is Isabella's ratio of honey:lime.

5:4, is Santiagio's ratio of honey:lime.

Therefore, Isabella has 6 equal parts over all and 4/6 of those parts are honey.

Santiago, has 9 equal parts, so he has 5/9 parts of honey.

Next is to make the denominators the same:

That would make the denominators 54 and then you just multiply the opposite denominator to the numerator:

5/9=36/54

4/6=30/54.

This means that Isabella's dressing is sweeter.

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Susan was writing a paper for English, and she thought it was going to take her 4 hours to write. In fact, it took her 6.5 hours
Goryan [66]

Answer:

61.5%

Step-by-step explanation:

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3 years ago
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Please help me, i have been on this problem for 45 minutes.
docker41 [41]

Answer:

Step-by-step explanation:

The absolute difference is 77-(-8)=85. The only option that is equivalent is

|-8|+77

8 0
3 years ago
Use the formula to evaluate the series 1+2+4+8+...a10
valina [46]

Answer:

The sum of the given series is 1023

Step-by-step explanation:

Geometric series states that a series in which a constant ratio is obtained by multiplying the previous term.

Sum of the geometric series is given by:

S_n = \frac{a(1-r^n)}{1-r}

where a is the first term and n is the number of term.

Given the series: 1+2+4+8+.................+a_{10}

This is a geometric series with common ratio(r) = 2

We have to find the sum of the series for 10th term.

⇒ n = 10 and a = 1

then;

S_n = \frac{1(1-2^{10})}{1-2} =\frac{1-1024}{-1} =\frac{-1023}{-1}=1023

Therefore, the sum of the given series is 1023



8 0
3 years ago
Erin’s car uses 6 gallons of gas for every 138 miles she drives.which equation could be used to find how many gallons,g, Erin ne
gladu [14]

The equation that could be used to find how many gallons Erin would need to drive 92 miles is 92 = 23g (option c)

<h3>How many gallons is needed to drive 92 miles?</h3>

The first step is to determine the gallons needed to drive 1 mile. To do this, divide the  6 gallons by 138 miles. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

Gallons needed for 1 mile = 6/138

In order to determine the gallons needed for 92 miles, multiply the ratio gotten in the previous step by 92

(6/138) x 92 = 4 gallons

The option that gives 4 gallons is : 92 = 23g

g = 92 / 32 = 4

To learn more about division, please check: brainly.com/question/13281206

#SPJ1

4 0
1 year ago
Me podrían ayudar y explicarme el proceso please
kakasveta [241]

Answer: Encontrarás las respuestas debajo de cada explicación. Espero que consideres darme brainliest y 5 estrellas, y más importante, que hayas entendido.

Step-by-step explanation:

Esto es la regla de 3. Conoces 3 valores y necesitas encontrar un 4to valor.

Ya sabemos que 1 caja pesa 20kg,

1 - 20kg

ahora queremos saber cuantas cajas (x) equivalen a 7653kg

x - 7653kg

Hacemos un pequeño cuadro poniendo en un lado los numeros de cajas y del otro el peso.

Pongamos la cantidad de cajas en la izquierda y el peso en la derecha

\frac{1}{x} =\frac{20kg}{7653kg}

Procedemos a multiplicar en cruz. Solo podemos multiplicar si tenemos ambos valores. En este caso, los valores en cruz que tenemos son 1 y 7653kg porque en la otra cruz (20 y x) tenemos nuestra incognita. Y, por ultimo, dividimos entre el numero cuya cruz es con la incognita (20kg)

Esto nos deja la expresión así;

x=\frac{1*7653kg}{20kg}

x=382.65

Como una caja no puede ser un numero decimal, redondeamos.

x=383

Por lo tanto, se necesitan aproximadamente 383 cajas para que su peso equivalga a 7653 kg.

-------------------------------------------------------------------------------------------------------

La otra pregunta dice: Si una caja pesa 20kg, (1 - 20kg), ¿Cuántas cajas se necesitan para equivaler 9500kg? (x - 9500kg)

Hacemos lo mismo que arriba, ponemos la cantidad de cajas de un lado, y el peso de otro lado.

\frac{1}{x}=\frac{20kg}{9500kg}

Multiplicamos aquellos valores en cruz que conozcamos y dividimos por el valor cuya cruz sea con x.

x=\frac{1*9500kg}{20kg}

x=475

Esta es la cantidad de cajas que se necesitan para que su pesa equivalga a 9500kg.

--------------------------------------------------------------------------------------------------------

Por último, la pregunta dice, ¿Cuántos kilogramos hay en 873 cajas?

Ya sabemos que una caja pesa 20kg ( 1 - 20kg ) y ahora buscamos cuantos kg hay en 873 cajas; es decir, (873 - x)

Nos quedaría así;

\frac{1}{873}=\frac{20kg}{x}

Ahora, nuestra cruz es 873 y 20kg, y el divisor es 1.

x=\frac{873*20kg}{1}

x=17460kg

Este sería el peso de 873 cajas.

5 0
3 years ago
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