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Naddika [18.5K]
3 years ago
11

Three times a number increased by 8 is at most 40 more than the number. Find the greatest value of the number.

Mathematics
1 answer:
Sidana [21]3 years ago
3 0

Answer:

That\:number\:is\:16

Step-by-step explanation:

Let\:x\:be\:the\:number\\We\:have\:an\:equation:3x+8=x+40\Leftrightarrow 2x=32\Leftrightarrow x=16

You might be interested in
−4+8x)+3&gt;x−4?<br><br> x&gt;16<br><br> x&lt;−1<br><br> x&lt;−323<br><br> x&gt;433
pentagon [3]

Answer:

x > 4/33

Step-by-step explanation:

(-4 +8x) +3> x/-4

8x - 1 > x/-4

-32x + 4 < x

4 < 33x

4/33 < x

6 0
2 years ago
A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken
Leviafan [203]

Answer:

a. H0:μ1≥μ2

Ha:μ1<μ2

b. t=-3.076

c. Rejection region=[tcalculated<−1.717]

Reject H0

Step-by-step explanation:

a)

As the score for group 1 is lower than group 2,

Null hypothesis: H0:μ1≥μ2

Alternative hypothesis: H1:μ1<μ2

b) t test statistic for equal variances

t=(xbar1-xbar2)-(μ1-μ2)/sqrt[{1/n1+1/n2}*{((n1-1)s1²+(n2-1)s2²)/n1+n2-2}

t=63.3-70.2/sqrt[{1/11+1/13}*{((11-1)3.7²+(13-1)6.6²)/11+13-2}

t=-6.9/sqrt[{0.091+0.077}{136.9+522.72/22}]

t=-3.076

c. α=0.05, df=22

t(0.05,22)=-1.717

The rejection region is t calculated<t critical value

t<-1.717

We can see that the calculated value of t-statistic falls in rejection region and so we reject the null hypothesis at 5% significance level.

7 0
3 years ago
Plz no links just give the answer and how you got it plsss. A circular hot spring has a diameter of 106 meters. Over time, the d
Nookie1986 [14]

Answer:

The area decreases by 1155.52 square meters

Step-by-step explanation:

a = pi * r ^ 2

d = 2 * r

r = d / 2

r = 96/2

r = 48

a1 = 3.14 * 48 ^ 2

a1 = 7234.56 square meters.

r = 88/2

r = 44

a2 = 3.14 * 44 ^ 2

a2 = 6079.04 square meters.

now we calculate the difference

a1 - a2 = 7234.56 - 6079.04

= 1155.52 square meters

7 0
3 years ago
How do I solve u=vw+z, for v.
AVprozaik [17]
U = vw + z

vw + z = u    |subtract z from both sides

vw = u - z    |divide both sides by w

v = (u - z)/w
3 0
3 years ago
Read 2 more answers
Triangle V U W is shown. The length of side W V is 6 centimeters, the length of side W U is 3 StartRoot 3 EndRoot centimeters, a
Nat2105 [25]

Answer:

The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30° ⇒ last answer

Step-by-step explanation:

In any triangle if the sum of the squares of the shortest two sides is equal to the square of the longest side, then the triangle is a right triangle and the angle opposite to the longest side is the right angle

In Δ VUW

∵ WV = 6 cm

∵ WU = 3\sqrt{3} cm

∵ UV = 3 cm

- Use the rule above tho check if it is a right Δ or not

∴ The longest side is WV

∴ The shortest two sides are WU and UV

∵ (WV)² = (6)² = 36

∵ (WU)² + (UV)² = (3\sqrt{3} )² + (3)² = 27 + 9 = 36

∴ (WV)² =  (WU)² + (UV)²

- That means ∠U which opposite to WV is a right angle

∴ Δ VUW is a right triangle at ∠U

∴ m∠U = 90°

Let us use the trigonometry ratios to find m∠W and m∠V

→ sin Ф = \frac{opposite}{hypotenuse}

∵ UV is the opposite side of ∠W

∵ WV is the hypotenuse

∵ sin(∠W) = \frac{UV}{WV}

∵ sin(∠W) = \frac{3}{6}=\frac{1}{2}

- Use sin^{-1} to find ∠W

∴ ∠W = sin^{-1}(\frac{1}{2})

∴ m∠W = 30°

∵ WU is the opposite side of ∠V

∵ WV is the hypotenuse

∵ sin(∠V) = \frac{WU}{WV}

∵ sin(∠V) = \frac{3\sqrt{3}}{6}=\frac{\sqrt{3}}{2}

- Use sin^{-1} to find ∠V

∴ ∠V = sin^{-1}(\frac{\sqrt{3}}{2})

∴ m∠V = 60°

The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30°

6 0
3 years ago
Read 2 more answers
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