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3 years ago

6

A decimal rounded to the nearest hundredth is 7.01. this decimal is less than 7.01.

1 answer:

denis-greek [22]3 years ago

4 0

The Answer Is : 4.09

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Problem 1: Your grades on your first three math tests were 81, 76, and 78. You have one

spin [16.1K]

You need to get an 85 on your last test

5 0

3 years ago

Add 1/4 + 5/14 +6/7 Simplify the answer and write it as a mixed number.

zhannawk [14.2K]

Answer:

$\frac{41}{28}$ = $1\frac{13}{28}$

Step-by-step explanation:

In order to add fractions, the denominators must all be the same value (the lowest common denominator). The <em>lowest common denominator</em> is the smallest value that all of the given denominators (in this case, the denominators are 4, 14, and 7) can divide into.

Here, the smallest number that all three of the given denominators can perfectly divide into is 28:

28 ÷ 4 = 7

28 ÷ 14 = 2

28 ÷ 7 = 4

<em>Therefore, our lowest common denominator is 28.</em>

<em />

The next step is to change our numerators to match our lowest common denominator. To do this, we have to multiply the numerator by the same value that we would need to multiple the denominator by in order to get our lowest common denominator.

For our first term of 1/4, we need to multiply our denominator (4) by 7 in order to get our lowest common denominator of 28. So, we need to also multiply our numerator by 7:

$\frac{1}{4}$ × $\frac{7}{7}$ = $\frac{7}{28}$

<em>Therefore, our first term becomes </em> $\frac{7}{28}$ <em>.</em>

For our second term of 5/14, we need to multiply our denominator (14) by 2. So, we need to also multiply our numerator by 2:

$\frac{5}{14}$ × $\frac{2}{2}$ = $\frac{10}{28}$

<em>Therefore, our second term becomes </em> $\frac{10}{28}$ <em>.</em>

For our third term of 6/7, we need to multiply our denominator (7) by 4. So, we need to also multiply our numerator by 4:

$\frac{6}{7}$ × $\frac{4}{4}$ = $\frac{24}{28}$

<em>Therefore, our third term becomes </em> $\frac{24}{28}$ <em>.</em>

Now that they all have the same denominator, we simply have to add all three together:

$\frac{7}{28}$ + $\frac{10}{28}$ <em> </em>+<em> </em> $\frac{24}{28}$ <em> </em>= $\frac{41}{28}$

When we simplify this into a mixed number, we get:

$\frac{41}{28}$ = $1\frac{13}{28}$

<em />

4 0

3 years ago

Read 2 more answers

Find the product of ( 2a2– 3b2) and ( a +b2- 3z)

Bond [772]

Answer:

$2a^3+2a^2b^2-6a^2z-3ab^2-3b^4+9b^2z$

Step-by-step explanation:

$(2a^2-3b^2)(a+b^2-3z)$

Start by distributing the $2a^2$ into all of the terms in between the second parentheses.

$2a^3+2a^2b^2-6a^2z$

Next, distribute the $-3b^2$ into all of the terms in between the second parentheses.

$-3ab^2-3b^4+9b^2z$

For the sake of simpler interpretation, I separated the two above, but they are together:

$2a^3+2a^2b^2-6a^2z-3ab^2-3b^4+9b^2z$

Since the terms are already in descending order, we do not need to rearrange them.

4 0

3 years ago

Mimi jarred 8 liters of jam after 2 days. How many days does Mimi need to spend making jam

Soloha48 [4]

Answer:

5

Step-by-step explanation:

8/2 = 4

4 x 5 = 20

8 0

4 years ago

raj and his sister zia are both at secondary school. Raj is three years older than zia. the sum of the squares of their ages is

Cerrena [4.2K]

Let Zia's age be = x years

Raj is three years older than Zia, so Raj's age = x+3 years

As the sum of the squares of their ages is 369, so

$x^{2}+(x+3)^{2}=369$

$x^{2}+x^{2}+6x+9=369$

$2x^{2}+6x+9=369$

$2x^{2}+6x-360=0$

Factoring 2 out we have,

$x^{2}+3x-180=0$

Now solving this equation,

$x^{2}+15x-12x-180=0$

$x(x+15)-12(x+15)$

$(x+15)(x-12)$

x=-15 and x=12

Neglect the negative value as x cannot be negative

So x=12

Hence, Zia's age is 12 years and

Raj's age is 12+3 = 15 years

4 0

3 years ago