Gustavo used 8 round tables and 6 rectangular tables.
Since Gustavo sets up tables for a caterer on weekends, and each round table can seat 8 people while each rectangular table can seat 10 people, and one weekend, his boss asked him to set up tables for 124 people, and he uses 2 more round tables than rectangular tables, to find the number of round tables and rectangular tables Gustavo used the following calculation must be performed:
10 x 8 + 8 x 10 = 160 8 x 8 + 6 x 10 = 124
Therefore, Gustavo used 8 round tables and 6 rectangular tables.
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Find the equation of a line parallel to y = -5x – 10 that passes through the point
(-5,0).
Answer:
8684787
Step-by-step explanation:
2.
Look at the steps used when solving 3(x - 2) = 3 for X.
3(x - 2) = 3
3x - 6 = 3
3x - 6 + 6 = 3 + 6
3x = 9
Write the original equation.
Use the Distributive Property.
Step 1
Step 2
3x 9
3 3
Step 3
x= 3
Step 4
Which step is the result of combining like terms?
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answer:
Step-by-step explanation:
Combining like terms occurs at this step:
3x - 6 + 6 = 3 + 6
Combining the - 6 + 6 =and 3 + 6 yields:
3x = 9
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay?
Answer:
105
Step-by-step explanation:
1,000 divided by 3.5% is 35
35 x 3 is 105
Since you are just asking for just the interest and not the total the answer is 105
The interest that Amy should pay is $105.
Given that,
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan.Based on the above information, the calculation is as follows:
[tex]= 1000 \times 3.5\% \times 3[/tex]
= 105
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The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo
Answer:
51 adults and 193 children
Step-by-step explanation:
Number of children = c
Cost for c children = c*4 = 4c
Number of adults = a
Cost for a adults = 6a
Total people = 244
a + c = 244 ---------------(I)
a = 244 - c ----------(II)
Cost for 244 people = $ 1078
6a + 4c = 1078 -------------(III)
Substitute a = 244 - c in equation (III)
6*(244 - c) + 4c = 1078
1464 - 6c + 4c = 1078
1464 - 2c = 1078
-2c = 1078 - 1464
-2c = -386
c = -386/-2
c = 193
a = 244 - 193
a = 51
Patricia has $12 to spend at an arcade. The arcade charges $6 admission and $3 per hour to play as many games as she wants. Which inequality can be used to find any possible number of hours, X, Patricia can play games without spending more than $12
A) 6+3x < 12
B) 6-3x < 12
C)12<6+3x
D) 12 < 6-3x
***All of them have a line underneath the <****
Answer:
Step-by-step explanation
c
Evaluate 64^1/2x
10^-2
Give your answer as a fraction in its simplest form.
[tex](64)^{\tfrac 12} \times 10^{-2}=(8^2)^{\tfrac 12} \times \dfrac 1{10^2}=\dfrac{8}{100} = \dfrac{2}{25}[/tex]
Ava has 98.2 ounces of tomatoes. Tomatoes cost $1.30 a pound. How much will she pay?
Answer:
$7.97
Step-by-step explanation:
98.2 Oz = 6.1375 Lbs
6.1375 Lbs times $1.30 = 7.97875
1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC
2. m2BDC=3(x-5) and m--BC=x+25,what is MZA
3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC
4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?
Answer:
[tex]1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?[/tex]
Step-by-step explanation:
3
Choose the option(s) that will show the effect (x-2. y+3) has on the figure?
left 2 units
down 2 units
down 3 units
up 2 units
right 3 units
left 3 units
up 3 units
right 2 units
Hiii!!! Can some one please help meee!!! I will give you a lot of points!!!
Answer:
left 2 units, up 3 units
Step-by-step explanation:
(x-2, y+3)
-2 means 2 to the left
+3 means 3 up
So it would be left 2 units, up 3 units.
Answer:
left 2 units up 3 unitsStep-by-step explanation:
Rule:
If x+b right in b units
if x-b left in b untits
if y+b up in b units
if y-b down in b units
You don 't have to use this rule if you know that on the Ox axis the line goes horizontally (the abscissa axis); And on the Oy axis vertically (the ordinate axis)
Then :
x-2 left in 2 units
y+3 up in 3 units
Solve the equation for x.
x-8 = 2
Answer:
x=10
Step-by-step explanation:
OABD is a sector of a circle.
Angle AOB = 80°.
The radius OB = 22 cm.
Work out:
the length OC
The area of triangle OAB
The area of the sector OABD
The area if the segment ABD
90
Step-by-step explanation:
because it has a parallel line
Please help me, I’m stuck on this question.
Solve
3h/7 − 11 =2 23/28
Solve for h, and provide your answer.
Please include explanation and all your steps toward the answer
Thank you!
3h/7-11=2×23/28
h=25/2
Write the slope- intercept form of the equation
Please help! I will give points <3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
here are 8 cardsthere is a number on each of these 6 cards
Answer:
I don't knowStep-by-step explanation:
sorry I apologize
Solve the equation for y. Then find the value of y for each value of x.
2x - 5y = 11; x = -1,0, 1
Solve the equation for y.
y =
When x = -1, the value of y is
When x = 0, the value of y is
When x = 1, the value of y is
Which expression can go in the blank to make the equation true?
-4.5 + 4.4 + = 0
A. -6.7 + 6.8 B. -6.7 + ( - 6.6) C. 7.2 + ( -7.2) D. 7.2 + (-7.3)
we have -4.5 + 4.4 + x = 0
<=> -0.1 + x = 0
<=> x = 0.1 ( P/s: x is the answer to fill in the blank )
Now look in the answer below we have :
+) A. -6.7 + 6.8 = 0.1 (S)
+) B. -6.7 +(-6.6) = -13.3 (NS)
+) C. 7.2 + (-7.2) = 0 (NS)
+) D. 7.2 + (-7.3) = -0.1 (NS) ( P/s: NS : not selected , S : selected )
So A is the correct answer
Ok done. Thank to me :>
Answer:it is D
Step-by-step explanation:
3 candidates run for president of the club and 5 candidates run for vice-president. How many different possibilities for
filling the two positions are there?
b. 5
c. 8
d. 3
a. 15
solve the following equations step by step
x + 7 = 4
[tex] \large \text{Answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex]x - 7 = 4 \\ x - 7 + 7 = 4 + 7 \\ x = 4 + 7 \\ x = 11[/tex]
Since your answer is ' 11 '
♡ hope it was helpful for you ♡~
Answer:
Thank you for points
Step-by-step explanation:
Thank you
What is the length of the diagonal of the square shown below?
5
45°
5
5
90°
5
A. V5
B. 5
C. 55
D. /10
E. 52
F. 25
Answer:
E
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the diagonal ( hypotenuse ) be d , then
d² = 5² + 5² = 25 + 25 = 50 ( take square root of both sides )
d = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex] → E
the perimeter of a school volleyball courts 177 feet and the length is twice the breath what are the denominations of the volleyball court
Answer: L = 59 feet, W = 29.5 feet
Step-by-step explanation:
Let P be the perimeter, L the length, and W the breath [breadth?] of the volleyball court. We'll assume it is rectangular.
We know that the P of the rectangle is 2L+2W:
P = 2L+2W
We also are told that:
L = 2W
We can use this definition of L in the forst equation:
P = 2L+2W
P = 2*(2W)+2W
P = 6W
P = 177 feet
Therefore 177 ft = 6W, and
W = 29.5 feet
The total for the length is 177 - 2W, or (177 - 59) ft
2L = (177 - 59)
2L = 118
L = 59 feet
Find the value of X
PLEASE HELP ME!!!!!!!!
22 because the bottom corner is 68. 68 time 2= 138 then you do 160-138=22 meaning x=22
What are the values of m and n
Answer:
[tex]m=20°; n=45°[/tex]
Step-by-step explanation:
Ok, let's first look at the right triangle. It's a right triangle, and it's isosceles. It means the two small angles are both 45°. So we've found n. Finding m is a simple matter of noticing that the larger triangle is also isosceles, so the two angles both measure 45+m, and the final angle is 50. But since the total has to be 180 we can write that [tex](45+m)+(45+m) +50 = 180.\\2m+50 = 90 \rightarrow 2m=40 \rightarrow m=20[/tex]
The sides of a rectangle are 6.3 cm and 4.8cm, each correct to 1 decimal place.
Calculate the upper bound for the area of the rectangle.
Answer:
error= 0.1/2, 0.05
4.8 + 0.05 = 4.85
6.3 + 0.05 = 6.35
4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).
Step-by-step explanation:
PLEASE HELP IT’S DUE TMR!!
4856
1.07
12.9
7.00
0.00199 (199)
0.000660 (660)
:)
Can anyone solve the problem on the picture?
Quotient:
[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]
Remainder:
[tex]f(x) = 9x^2+68x+35[/tex]
By the remainder theorem,
[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]
Which is the remainder when f(x) is divided by (x+7)
can somebody help like rn
Answer:
4
Step-by-step explanation:
(25-18+5)/4=4
(insert the variables)
The graph of f(x) = 2x + 3 is shown above. Which graph represents f-'(x)?
Answer:
May we assume "f-'(x)" means the fiurst derivative of f(x)? I'm not sure what f-'(x) sign means, if not that. The answer assume this is the first derivative. No graphs are shown, so I'll add one.
Step-by-step explanation:
f(x) = 2x + 3
f'(x) = 2
The graph would be a staight vertical line through x=2. The slope of the line f(x) = 2x + 3 is 2
The points (7,5) and (-5, 8) fall on a particular line. What is its slope
Answer:
-3/12
Step-by-step explanation:
To figure out the answer, you have to use the formula: [tex]\frac{Y2-Y1}{X2-X1}[/tex] to find the slope.
plug in the coordinates: 7,5
-5,8
[tex]\frac{5-8}{7-(-5)}[/tex]= which will equal= [tex]\frac{-3}{12}[/tex]
Have a wonderful week!
Convert 9 km into cm
Answer:
900,000
Step-by-step explanation: