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3 years ago

5

Match each equation to the situation it represents. Yin spends 10 hours on homework this week. She spends 5 hours of science hom

ework and then answers 35 math problems

1 answer:

cestrela7 [59]3 years ago

5 0

Answer:

35x+5=10

Step-by-step explanation:

You might be interested in

Solve for b2 in A = 1/2 h(b1+b2), if A = 16, h = 4, and b1 = 3. 16= 1/2* 4(3+b2) =6+2b2 or, b2= [16-6]/2= 5

Tatiana [17]

Assuming you are referring to the area of a "trapezoid"; in which one calculates the Area, "A", as follows:
________________________
<span> A = 1/2* h(b1+b2) ;

in which: A = Area = 16 (given);
h = height = 4 (given);
b1 = length of one of the two bases = 3 (given);
b2 = length of the other of the two bases = ? (what we want to solve for) ;
______________________________________________________
Using the formula: </span>A = 1/2 h(b1+b2) ;
________________________________
Let us plug in our known values:
___________________________
→ 16 = (1/2) * 4*(3 + b2) ;  → Solve for "b2".
________________________________
→Note: On the "right-hand side" on this equation: "(1/2)*(4) = 2 ."
________________________________
So, we can rewrite the equation as:
________________________________
→ 16 = 2*(3 + b2) ;  → Solve for "b2".
________________________________
We can divide EACH side of the equation by "2"; to cancel the "2" on the "right-hand side" of the equation:
________________________________
→ 16 / 2 = [2*(3 + b2)] / 2 ;  → to get:
___________________________
8 = (3 + b2) ;
_________________
→ Rewrite as: 8 = 3 + b2;
_______________________
Subtract "3" from EACH side of the equation; to isolate "b2" on one side of the equation; and to solve for "b2" :
______________________________
→ 8 - 3 = 3 + b2 - 3 ;  → to get:
_____________________
b2 = 5; From the 2 (TWO) answer choices given, this value,
"b2 = 5", corresponds with the following answer choice:
____________________
b2= [16-6]/2= 5 ; as this is the only answer choice that has: "b2 = 5".
<span>_________________________________________

As far getting "</span>b2 = 5" from: "b2= [16-6]/2= 5"; (as mentioned in the answer choice), we need simply to approach the problem in a slightly different manner. Let us do so, as follows:
<span>_____________________________________
Start from: </span>A = 1/2 h(b1+b2); and substitute our known (given) values):<span>
________________________
</span>→ 16 = (1/2) *4 (3 + b2) ; → Solve for "b2".
_____________________________
Note that: (½)*4 = 2; so we can substitute "2" for: "(1/2) *4" ;
and rewrite the equation as follows:
_________________________
→ 16 = 2 (3 + b2) ;
____________________
Note: The distributive property of multiplication:
_________________________
a*(b+c) = ab + ac ;
_________
As such: 2*(3 + b2) = (2*3 + 2*b2) = (6 + 2b2).
_________________
So we can substitute: "(6 + 2b2)" in lieu of "[2*(3 + b2)]"; and can rewrite the equation:
______________________
→ <span>16 = 6 + 2(b2) ; Now, we can subtract "6" from EACH side of the equation; to attempt to isolate "b2" on one side of the equation:</span>
<span>________________________________________________
</span>→ 16 - 6 = 6 + 2(b2) - 6 ;
→ Since "6-6 = 0"; the "6 - 6" on the "right-hand side" of the equation cancel.
→ We now have: 16 - 6 = 2*b2 ;
___________
Now divide EACH SIDE of the equation by "2"; to isolate "b2" on one side of the equation; and to solve for "b2":
____________________
→ (16 - 6) / 2 = (2*b2) / 2 ;
→ (16 - 6) / 2 = b2 ;
→ (10) / 2 = b2 = 5.
______________
NOTE: The other answer choice given:
_____________
"<span>16= 1/2* 4(3+b2)= 6+2b2" is incorrect; since it does not solve for "b2".</span>

3 0

3 years ago

Read 2 more answers

This is the question

Maurinko [17]

I dont see a question.

7 0

3 years ago

Replace the * by the smallest number so that 785* is divisible by 6

pantera1 [17]

Answer:

780

Step-by-step explanation:

first we divide them

785/6=

remainder= 5

quotient =130

now we subtract the remainder as we wants the smallest number

785-5= 780

hope this helps you :)

4 0

3 years ago

What is the distance between points (9, −7) and (9, 4) on a coordinate plane? Enter the answer in the box.

katen-ka-za [31]

Answer:

$|d| = \sqrt{(9 - 9) {}^{2} + ( - 7 - 4) {}^{2} } = \sqrt{( - 11) {}^{2} } = \sqrt{121} = 11 \\$

6 0

3 years ago

Katie Cole purchased a mountain bike with an installment loan that has an APR of 14%. The mountain bike sells for $762. The stor

Brums [2.3K]

<u>Answer-</u>

<em>Finance charge is $99</em>

<u>Solution-</u>

Price of mountain bike = $762

The store's financing requires a 15% down payment, so the present value of annuity will be,

$762-(762\times \frac{15}{100})=\$647.7$

We know that,

$\text{PV of annuity}=P[\frac{1-(1+r)^{-n}}{r}]$

$PV\ of\ annuity=647.7,\\\\P=?,\\\\r = 14\%\ annually=\frac{14}{12}\%\ monthly=\frac{14}{1200}\ monthly\\\\n=24\ months$

Putting the values,

$\Rightarrow 647.7=P[\dfrac{1-(1+\frac{14}{1200})^{-24}}{\frac{14}{1200}}]$

$\Rightarrow P=\dfrac{647.7}{\frac{1-(1+\frac{14}{1200})^{-24}}{\frac{14}{1200}}}$

$\Rightarrow P=\dfrac{647.7}{20.8277}$

$\Rightarrow P=\$31.10$

With a monthly payment of this, he will be paying in 24 months will be,

$=31.10\times 24=\$746.4$

Then,

$\Rightarrow \text{Total payment}=\text{Down payment+Monthly payment}=(762\times \frac{15}{100})+(746.4)=\$861$

The extra amount he will be paying,

$=861-762=\$99$

6 0

4 years ago