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1 year ago

9

Carlos spent a total of $40 at the grocery store. Of this amount, he spent $14 on fruit. What percentage of the total did he spe

nd on fruit?

1 answer:

qaws [65]1 year ago

4 0

35 percent :) (or 14/40)

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What is the y value of the vertex 4x^2+8x-8

Oksana_A [137]

Answer:

The y-value of the vertex is $-12$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

In this problem we have

$f(x)=4x^{2}+8x-8$ -----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+8=4x^{2}+8x$

Factor the leading coefficient

$f(x)+8=4(x^{2}+2x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+8+4=4(x^{2}+2x+1)$

$f(x)+12=4(x^{2}+2x+1)$

Rewrite as perfect squares

$f(x)+12=4(x+1)^{2}$

$f(x)=4(x+1)^{2}-12$

The vertex is the point $(-1,-12)$

The y-value of the vertex is $-12$

5 0

2 years ago

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Drag the slider to see the number of water lilies in

Misha Larkins [42]

Answer:

0 days:

4

1 day:

4

2 days:

5

3 days:

6

4 days:

6

5 days:

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Step-by-step explanation:

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2 years ago

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Angles 1 and 2 from a right angle which word describes their measures? Linear congruent complementary supplementary

Rufina [12.5K]

Complementary best describes their measures.

Complementary describes 90°.

Supplementary describes 180°.

Congruent describes two figures/lines that are similar.

Linear describes a straight line.

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2 years ago

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Use the fact that 2 1/2 divide 1/8 =20 to find 2 1/2 divide 5/8

Tasya [4]

Answer:

4

Step-by-step explanation:

Given that $2\frac 1 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \times 8 1 =20 \cdots(i)$

Now, $2\frac 1 2 \div \frac 5 8$ $= \frac 5 2 \div \frac 5 8$ $=\frac 5 2 \times \frac 8 5$

This can be written as

$\frac 5 2 \times \frac 8 5=\frac 5 2 \times \left( \frac 8 1 \times \frac 1 5\right)$ [as $\frac 8 5=\frac 8 1 \times \frac 1 5$ ]

$=\left(\frac 5 2 \times \frac 8 1 \right)\times \frac 1 5$

$=20 \times \frac 1 5$ [ by using equation (i)]

=4

Hence, $2\frac 1 2 \div \frac 5 8=4$

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2 years ago

I wonder if I did #9 right and I’m having trouble with #10

yaroslaw [1]

Let's see....

QUESTION: Add. Write your answer as a mixed number in simplest form.

$6 \frac{7}{9} + 9 \frac{8}{9}$

1. Rewriting our equation with parts separated

<span><span> $=6+ \frac{7}{9} +9+ \frac{8}{9}$

</span></span>2. Solving the whole number parts

<span> $6+9=15$

</span>3. Solving the fraction parts

<span><span> $\frac{7}{9} + \frac{8}{9} = \frac{15}{9}$

</span></span>4. Reducing the fraction part, 15/9,

<span><span> $\frac{15}{9} = \frac{5}{3}$

</span></span>5. Simplifying the fraction part, 5/3,

<span><span> $\frac{5}{3} = 1\frac{2}{3}$

</span></span>6. Combining the whole and fraction parts

<span><span><span> $15+1+ \frac{2}{3} =16 \frac{2}{3}$

ANSWER: $16\frac{2}{3}$

Hope that helps!
</span></span></span>

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3 years ago

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