Sheila bought burgers and fries for her children and some friends. the burgers cost $2.05 each and the fries are $.85 each. she bought a total of 14 items, fir a total cost if $19.10. how many of each did she buy?

Answers

Answer 1

Answer: Let's have B stand for burgers, and F stand for fries.
2.05B+0.85F=$19.10 - This equation is set equal to total price.
B+F=14 - This equation is set equal to total number of items.
Subtract the F in the bottom equation.
B=14-F
Put this in place of B in the first equation.
2.05(14-F)+0.85F=19.10
Make sure you distribute the 2.05 properly, over both the 14 and the F.
28.7 - 2.05F+0.85F=19.10
Collect like terms for the F values.
28.7 - 1.2F=19.10
Subtract 28.7 from both sides.
-1.2F=-9.6
Divide by -1.2 on both sides.
F=8
Put this value in place of F in either equation.
B+8=14
B=6
So F=8 and B=6.

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Find the product.(-d + 4)(-d - 4)
-d2 - 16
d2 - 16
d2 + 16
d2 - 8d - 16

Answers

(-d + 4) (-d - 4) = 0
-d(-d - 4) + 4(-d - 4) = 0
d² + 4d - 4d - 16 = 0
d² - 16 = 0 2nd choice.

We can find the value of d.
d² - 16 = 0
d² = 16
√d² = √16
d = 4

to check:
(-4+4) (-4 - 4) = 0
0 (-16) = 0
0 = 0

Multiplication property of 0. Any number multiplied by 0 is equal to 0.

The measure of angle BAC is 77 and the measure of angle ACD is 127, what is the measure of angle ABC?

Answers

Answer:

The measure of angle ABC is 50°

Step-by-step explanation:

step 1

Find the measure of angle ACB

we know that

∠ACB+∠ACD=180° ----> by supplementary angles

see the attached figure to better understand the problem

∠ACB=180°-127°=53°

step 2

Find the measure of angle ABC

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

∠ABC+∠ACB+∠BAC=180°

substitute the given values

∠ABC+53°+77°=180°

∠ABC=180°-130°=50°

How much sand would it take to fill a sandbox that is 15 feet long, 10 feet wide, and 2 feet high?

Answers

V=legnth times width times height
legnth=15
width=10
height=2
V=15 times 10 times 2
V=300 ft^3

300 cubic feet ofsand

The sum of digits of a 3 digit number is 12. Three times the hundreds digit minus twice the tens digit is 5. If six time the units digit is added to four times the tens digit, the result is 50. Find the number.

Answers

so
xyz

x+y+z=12
3x-2y=5
6z+4y=50
so multiply 3x-2y=5 by 2
6x-4y=10
add to 6z+4y=50 and get
6x+6z+4y-4y=10+50
6x+6z=60
distribute
6(x+z)=6(10)
divide both sides by 6
x+z=10
subsitute 10 for x+z in the first equation
10+y=12
y=2
subsitute
3x-2(2)=5
3x-4=5
3x=9
x=3

x+z=10
3+z=10
z=7

x=3
y=2
z=7

number is
327

What are the zeros of the function F of X equals X squared -13 X -30

Answers

Hello,

x²-13x-30=0
==>x²-15x+2x-30=0
==>x(x-15)+2(x-15)=0
==>(x-15)(x+2)=0
==>x=15 or x=-2

The diagram below shows the graph of which inequality?

Answers

the correct inequality is (4).

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