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3 years ago

5. Complete the following equation using < >, or = 7___24/4

Mathematics

2 answers:

enyata [817]3 years ago

5 0

Answer:

7 > 24/4

Step-by-step explanation:

24÷4=6

7_6

7>6

therefore it's greater than

Zepler [3.9K]3 years ago

3 0

Answer:

7 > 24/4

Step-by-step explanation:

7 __ 24/4

simplify

7 __ 6

7 > 6

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Lori is three times as old as Michelle. In five years Michelle's age will be one half of Lori's age. How old are Lori and Michel

AURORKA [14]

Answer:

Lori's age is 15 years old and Michelle's age is 5 years old now

Step-by-step explanation:

Let

x-----> Lori's age

y ----> Michelle's age

we know that

$x=3y$ -----> equation A

$(y+5)=\frac{1}{2}(x+5)$ ----> equation B

substitute equation A in equation B and solve for y

$(y+5)=\frac{1}{2}(3y+5)$

$2y+10=(3y+5)$

$3y-2y=10-5$

$y=5$

Find the value of x

$x=3(5)=15$

therefore

Lori's age is 15 years old and Michelle's age is 5 years old now

7 0

3 years ago

Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

3 years ago

The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle?

disa [49]

<span>Triangle is 180 degrees, so you will subtract 50 from 180 which will give you 130.</span>

8 0

3 years ago

Find three consecutive integers whose sum is six times the greater integer

Zepler [3.9K]

3 times 6 18 and do that 6 times add

4 0

3 years ago

F(x)=6x^2 +10x−1

KATRIN_1 [288]

Answer: It has two distinct real zeros.

Step-by-step explanation:

The formula that is used to calculate the discriminant of a Quadratic function is the one shown below:

$D=b^2-4ac$

In this case you have the following Quadractic function provided in the exercise:

$f(x)=6x^2 +10x-1$

Let's make it equal to 0:

$0=6x^2 +10x-1$

You can identify that:

$a=6\\\\b=10$

Knowing these values, you can substitute them into the formula and then evaluate:

$D=10^2-4(6)(-1)\\\\D=124$

Therefore, since:

$D>0$

You can determine that the it has two distinct real roots.

3 0

3 years ago