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horsena [70]
2 years ago
13

Mrs. Brown has 7 more boys than girls in her class and has a total of 29 students. Which of the following systems of equations c

ould be used to solve this problem?
B = G – 7 and B + G = 29
G = B + 7 and B + G = 29
B + 7 = G and B + G = 29
B = G + 7 and B + G = 29
Mathematics
1 answer:
BigorU [14]2 years ago
5 0

Answer:

B = G + 7 and B + G = 29

Step-by-step explanation:

Let B = boys and G = girls. There are 7 more boys then girls. Set the equation:

B = G + 7

There are 29 students in total. Set the boys and girls equal to the total amount:

B + G = 29

B = G + 7 and B + G = 29 is your answer.

~

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It is greater than 40 it is less than 46 it has a 5 in the ones place what is the secret number
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Thee vertex of a parabola is (-5,2), and its focus is (-1,2). What is the standard form of the parabola?​
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Check the picture below.  So the parabola looks more or less like so.

\bf \textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} h=-5\\ k=2\\ p=4 \end{cases}\implies 4(4)[x-(-5)]=[y-2]^2\implies 16(x+5)=(y-2)^2 \\\\\\ x+5=\cfrac{1}{16}(y-2)^2\implies x = \cfrac{1}{16}(y-2)^2-5

6 0
2 years ago
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Clint earns $25.50 per hour as a mechanic. He is paid time-and-a-half for working more than 8 hours per day. Yesterday, he worke
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Answer:

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Step-by-step explanation:

Time and a half is the original hourly rate plus half of that. Being that Clint's hourly rate is $25.50, you will add $12.75 to that because that is half of 25.50. So for the 11.5 hours worked, Clint's gross pay comes out to be $439.87. First figure out time and a half as shown above. Next, multiply time and a half by the number of hours worked on said day. You then have the answer for what is Clint's gross pay.

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3 years ago
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3 years ago
What is the answer to <br> 6+0.10x=0.15x+8
asambeis [7]

Let's solve this problem step-by-step.

6+0.1x=0.15x+8

Step 1: Simplify both sides of the equation.

0.1x+6=0.15x+8

Step 2: Subtract 0.15x from both sides.

0.1x+6−0.15x=0.15x+8−0.15x

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Step 3: Subtract 6 from both sides.

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Step 4: Divide both sides by -0.05.

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So, the answer for this problem is x=-40

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