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givi [52]
2 years ago
13

Joseph and Tyler went to the hobby store. They each bought a race car for $15.99. Joseph bought a blue race car for $2.99 and Ty

ler bought a red race car for $3.99. The hobby store charges 8.9% tax. How much did they spend altogether plus tax?
Mathematics
1 answer:
Svetach [21]2 years ago
8 0
$15.99x2 +2.99+3.99= subtotal

subtotal x .089= Tax due

tax due + subtotal = total spent
38.96*.089= 3.46

3.46 +38.96= 42.42744

so altogether with tax, Joseph and Tyler spent $42.43 at the hobby store
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SU and VT are chords that intersect at point R.
vovikov84 [41]

Answer:

<h2>The length of the line segment VT is 13 units.</h2>

Step-by-step explanation:

We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

\frac{RS}{RT} =\frac{RV}{RU}

Where

RS=SR=x+6\\RT=x+4\\VR=RV=x+1\\RU=x

Replacing all these expressions, we have

\frac{x+6}{x+4} =\frac{x+1}{x}

Solving for x, we have

x(x+6)=(x+4)(x+1)\\x^{2} +6x=x^{2} +x+4x+4\\6x-5x=4\\x=4

Now, notice that chord VT is form by the sum of RT and RV, so

VT=VR+RT\\VT=x+1+x+4\\VT=2x+5

Replacing the value of the variable

VT=2(4)+5\\VT=8+5\\VT=13

Therefore, the length of the line segment VT is 13 units.

5 0
3 years ago
Read 2 more answers
2. Express the given statement as an algebraic expression.<br>Sum ofa and 5 divided by 8​
bezimeni [28]

Answer:

An algebraic expression for <em>Sum of a and 5 divided by 8</em>​ is  \mathbf{\frac{a+5}{8}}

Step-by-step explanation:

We need to express the given statement as an algebraic expression.

Sum of a and 5 divided by 8​

Basically, we are given the expression in English sentence and we have to write algebraic expression.

It can be done in two steps:

Sum of a and 5 = We know that sum is denoted by + sign. So, we get (a+5)

Sum of a and 5 divided by 8​ = \frac{a+5}{8}

So, An algebraic expression for <em>Sum of a and 5 divided by 8</em>​ is  \mathbf{\frac{a+5}{8}}

7 0
3 years ago
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masha68 [24]

Answer:

5 1/3  Please mark me brainlliest

Step-by-step explanation:

2 2/3 every half-hour so for 1 full hour 2 2/3+2 2/3 = 5 1/3

8 0
3 years ago
The school soccer team buys 3 soccer balls for every 2 players. The school volleyball team buys 7 volleyballs for every 5 player
SSSSS [86.1K]
Soccer buys more; divide each

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Volleyball- 7/5=1.4

Soccer buys more balls per player
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2 years ago
According to the empirical rule, if the data form a bell-shaped normal distribution, __________ of the observations will fall wi
Kaylis [27]

Answer:

95%

Step-by-step explanation:

The empirical rule states that if data follows normal distribution then the percentage of observations falls within one, two and three standard deviation around the mean are

i) 68% falls within one standard deviation

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iii) 99.7% falls within three standard deviation.

Hence 95% of the observations will fall within two standard deviations around the mean if the data follows normal distribution.

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3 years ago
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