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2 years ago

13

Nathan ate 5 over 6 of his sandwich Leroy ate 7 over 8 of his sandwich and Sofia ate 5 over 8 of her sandwich who ate the greate

st amount of their sandwich

2 answers:

Oliga [24]2 years ago

5 0

First you have to find a common denominator which would be 24.
5/6 = 20/24
7/8 = 21/24
5/8 = 15/24
So your final answer would be 7 over 8.

Paha777 [63]2 years ago

5 0

Nathan- 5/6
Leroy- 7/8
Sofia- 5/8

Leroy ate the greatest amount of their sandwich<span />

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Write a word problem that involves comparing unit rates

uysha [10]

Last month, my house used 1,740 kilowatt-hours of electrical energy,
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3 years ago

Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate

kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

$x-1\leq 0\, \text{and}\, x-4\geq 0$

or

$x-1 \geq 0\, \text{and}\, x-4\leq 0$

In the first case the solution is the empty set $\emptyset$ . In the second case the solution is the interval $1\leq x \leq 4$ . Now we have that

$A=[1,4]$

$B=(3,5)$

$C=(3,4]$ .

To show that $A\cap B\subseteq C$ consider $x\in A\cap B$ . Then $1\leq x \leq 4\, \text{and}\, 1$ , this implies that $3$ , then $x\in C$ . Now, to show that $C\subseteq A\cap B$ consider $x\in C$ , then $3$ , then $1\leq x \leq 4\, \text{and}\, 3$ , then $x\in [1,4] \, \text{and}\, x\in (3,5)$ , this implies that $x\in A\cap B$ .

Observe the image below.

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3 years ago

[20 pts] evaluate the logarithm log(6)1/36, show work pls!

Delvig [45]

Answer:

$\large\boxed{\log_6\dfrac{1}{36}=-2}$

Step-by-step explanation:

$\text{We know:}\\\\\log_ab=c\iff a^c=b\\\\\log_6\dfrac{1}{36}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_636^{-1}=\log_6(6^2)^{-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\log_66^{(2)(-1)}=\log_66^{-2}\qquad\text{use}\log_ab^n=n\log_ab\\\\=-2\log_66\qquad\text{use}\ \log_aa=1\\\\=-2(1)=-2$

$\log_6\dfrac{1}{36}=-2\ \text{because}\ 6^{-2}=\dfrac{1}{6^2}=\dfrac{1}{36}$

8 0

3 years ago

laws of Sines with find the angle. Find each measurement indicated. Round your answers to the nearest tenth. Show your work plea

Gwar [14]

Answer:

4. Z ≈ 46.1°

5. T ≈ 45.2°

6. F ≈ 15.0°

Step-by-step explanation:

4.

We need to use the Law of Sines, which states that for a triangle with legnths a, b, and c and angles A, B, and C:

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

Here, we can say that ZY = a = 30, X = A = 110, XY = b = 23, and Z = B. Plug these in to find Z:

$\frac{a}{sinA} =\frac{b}{sinB}$

$\frac{30}{sin(110)} =\frac{23}{sinZ}$

Solve for Z:

Z ≈ 46.1°

5.

Use the Law of Sines as above.

$\frac{a}{sinA} =\frac{b}{sinB}$

$\frac{26}{sin(76)} =\frac{19}{sinT}$

Solve for T:

T ≈ 45.2°

6.

Again, use the Law of Sines as before.

$\frac{a}{sinA} =\frac{b}{sinB}$

$\frac{29}{sin(137)} =\frac{11}{sinF}$

Solve for F:

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3 years ago

Step 1: –10 + 8x < 6x – 4

Charra [1.4K]

Answer:

-6/-2<-2x/-2

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I hope this helps

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3 years ago