If stu=(13x-6), msu=(21x+8) and mut=143 find mst

Answer:

8.2

Step-by-step explanation:

the bigger numbers are 9.21 and 9.73 because they have a higher number and 8.9 and 8.2 are the lower ones but 9 is a bigger number than 2.

Answer:

1. x=37

2. x= 50

Step-by-step explanation:

Add up the two angles you already have, 43+100 and then subtract from 180.

180-143= 37

Do the same thing for number 2.

Add up 99+31, which is 130

The subtract from 180

180-130=50

The equation for triangles is x + (the angle measures) = 180

Hope this helps <3

Answer:

he would need 4 bags

Step-by-step explanation:

16 divided by 4 is 4

you can count by 4 to find your answer

The number of ways in which three swimmers can advance is 56.

The combination is the selection of items without taking the order of arrangement into consideration.

The formula used in calculating the combination is:

[tex]\mathbf{C(n,r) = \dfrac{n!}{r!(n-r)!}}[/tex]

[tex]\mathbf{C(n,r) = \dfrac{8!}{3!(8-3)!}}[/tex]

[tex]\mathbf{C(n,r) = \dfrac{8\times 7\times 6 \times 5!}{3!(5)!}}[/tex]

[tex]\mathbf{C(n,r) = 8\times 7}[/tex]

C(n, r) = 56

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Answer: 10

Step-by-step explanation:The answer is 10

Step-by-step explanation:

10+10=20

10 * 10= 100

Hope it helps you.

Answer:

hope this will help you thank you

it can be also written as 1/5x-5

Answer:

-3,-2

Step-by-step explanation:

Answer:

-3,-2

Step-by-step explanation:

if it goes down in numbers but increases in x that would mean the value would change by that much (-3,-2).

Answer:

Step-by-step explanation:

So whenever you see alphabets in math, these are called variable. Like the word suggests, variables can have different values depending on the problem.

For the first problem, the variable k equals 10, and the question asks you when k=10, what does that make k+26. All you do is substitute the value of k with the given value of k=10, and you get 10 + 26 = 36.

This way you can solve the rest of them.

Ask me if you get confused and we can work on rest of them.

Answer:

Step-by-step explanation:

Q1

Q2

Q3

Q4

Q5

Q6

Answer:

35 + 35 = 70

Step-by-step explanation:

Add the area of ABC

Answer:

b) 95 degrees

Step-by-step explanation:

Remember that the internal angles of a triangle add up to 180°.

Solving :

Let that angle be x

Apply angle sum property

Answer:

1.  smaller value of t = 5

   larger value of t = 9

2.  (7, 4)

Step-by-step explanation:

Given function:  [tex]h(t)=-(t-7)^2+4[/tex]

To find the zeros, set the function to zero and solve for t:

[tex]\begin{aligned}h(t) & =0\\\implies -(t-7)^2+4 & =0\\-(t-7)^2 & =-4\\(t-7)^2 & =4\\t-7 & =\sqrt{4}\\t-7 & =\pm 2\\t & =7\pm 2\\t & = 5,9\end{aligned}[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Therefore, the vertex of the given function is (7, 4)

Answer:

its D

Step-by-step explanation:

i did the math ez

Answer:

C) ∠V , ∠U , ∠W

Step-by-step explanation:

The smallest angle is opposite to the smallest side.

Sides in ascending order:  WU <  VW < UV

Answer:

x=10.5 or x=6=x=−7

Step-by-step explanation:

x+x^2+2=44

x+x(x)+2=44

2x(x)+2=44 1. -2 on both sides

2x^2=42

2x(2x)=42

4x=42 2. /4 on both sides

x=10.5

Answer:

x = -7, 6.

Step-by-step explanation:

x+x2 +2=44

x^2 + x - 42 = 0

(x - 6)(x + 7) = 0

x =-7, 6

Step-by-step explanation:

7+5+8+5=25 All the paintings

paintings of summer:8

8 of 25

25×4=100

8×4=32

paintings of summer:32%

Answer: 16 cups per second.

Step-by-step 5.5 minutes into seconds 320.

620 gallons into cups 9920.

9920 divided by 320 seconds.

16 cups per second

Avery's salary after 18 years will be equal to $82000.

The amount of money paid by any company to their employees on monthly basis is called salary.

Given that:-

The amount of salary taken by Avery in her 18th year will be:-

Per year incrememnt = $1500

So total increment in 18 years will be = 1500  x  18  =  $27000

Total salary in 18th year will be = 55000  +  27000 = $82000

Therefore Avery's salary after 18 years will be equal to $82000.

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Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 48, \sigma = 8, Z = -3[/tex].

Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-3 = \frac{X - 48}{8}[/tex]

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

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Answer:

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean  and standard deviation  is given by:

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the parameters are given as follows:

.

Hence:

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

Answer:

A 1.3

Step-by-step explanation:

probabilities lie between 0 and 1 and cannot be more or less

Answer:

1/3

Step-by-step explanation:

That is the simplified version of the number of all the double-digit odd days (11,13,15,17,21,23,25,27,29), 10, over the total number of days in April, 30

10/30=1/3

Answer:

15 balloons

Step-by-step explanation:

20 - 5 = 15

hope this helps:)

Answer:

15 ballons

Step-by-step explanation:

ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.

A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.

Lines EG and FG  are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD

Lines JK ≅ HL because they are both created by parallel lines JL and HI.

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After 5.4 years, the value of the car will be half the initial value.

We know that the value decreases by 12% each year.

Then the value of the car can be modeled with an exponential decay, written as:

[tex]V(t) = A*(1 - 12 \% /100 \%)^t = A*(1 - 0.12)^t = A*(0.88)^t[/tex]

Where A is the initial value, and t is the number of years.

The value will be halved when:

[tex](0.88)^t = 0.5[/tex]

We need to solve that, to do it, we can apply the natural logarithm to both sides, so we get:

[tex]Ln(0.88^t) = Ln(0.5)\\\\t*Ln(0.88) = Ln(0.5)\\\\t = Ln(0.5)/Ln(0.88) = 5.4[/tex]

This means that after 5.4 years, the value of the car will be half the initial value.

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Answer:

283.86 cm³

Step-by-step explanation:

A can of soda has the shape of a cylinder.

Formula for finding volume of a cylinder :

Volume = πr²h

===============================================================

Solving :

⇒ Volume = 22/7 × (2.8)² x 11.5

⇒ Volume = 22/7 x 2.8 x 2.8 x 11.5

⇒ Volume = 22 × 0.4 × 32.2

⇒ Volume = 8.8 × 32.2

⇒ Volume = 283.86 cm³

Answer:

D

Step-by-step explanation:

It is only d because that is the only positive statement.