Answer:
sodas sold = 138
hot dogs sold = 79
Step-by-step explanation:
let s = number of sodas sold
let h = number of hot dogs sold
equation 1: h + s = 217
equation 2: h + 59 = s
Substitute equation 2 into equation 1 and solve for h:
⇒ h + (h + 59) = 217
⇒ 2h + 59= 217
⇒ 2h =158
⇒ h = 79
Substitute found value of h into equation 2 and solve for s:
⇒ 79 + 59 = s
⇒ s = 138
answer:
number of hot dogs is 79
number of sodas is 138
explanation:
let the number of hot dogs sold be xthen number of sodas is x + 59solve:
Therefore:
x + x + 59 = 217
2x = 158
x = 79
79 hot dogs
now find [ x + 59 ], number of soda's79 + 59
138 sodas
Can you help solve problem 11
Answer:
i dont know that try looking it up
When an object falls due to gravity on Earth, the acceleration is 9.8 m/s. A student drops a rock
down a mineshaft. It takes 3.00 seconds for the rock to hit the bottom of the shaft. What is the
velocity of the rock as it impacts?
Answer:
29.4 m/s
Step-by-step explanation:
Use v = at with a = 9.8 m/s^2 and t = 3.00 sec
v = 9.8 * 3.00 = 29.4 m/s
please help me with this math problem (:
Answer:
[tex] {x}^{2} + ( \frac{ \sqrt{3} }{2} ) {}^{2} = 1 \\ {x}^{2} = \frac{1}{4} \\ x = \frac{1}{2} \: \: or( \frac{1}{2} ) \\ x > 0 \\ therefore \: \: x = \frac{1}{2} [/tex]
Answer:
[tex]x=-\frac{1}{2}[/tex]
Step-by-step explanation:
equation of a circle: [tex](x - h)^2+(y-k)^2=r^2[/tex]
where (h, k) = center and r = radius
From inspection, we can see that the center of the circle = (0, 0)
and the radius = 1
[tex]\implies (x - 0)^2+(y-0)^2=1^2[/tex]
[tex]\implies x^2+y^2=1[/tex]
Substitute [tex]y=\frac{\sqrt{3}}{2}[/tex] into [tex]x^2+y^2=1[/tex] and solve for [tex]x[/tex]:
[tex]\implies x^2+(\frac{\sqrt{3}}{2})^2=1[/tex]
[tex]\implies x^2+\frac{3}{4}=1[/tex]
[tex]\implies x^2=\frac{1}{4}[/tex]
[tex]\implies x=\pm \sqrt{\frac{1}{4}}[/tex]
[tex]\implies x=\pm\frac{1}{2}[/tex]
As point P is in quadrant 2, [tex]x[/tex] is negative, so [tex]x=-\frac{1}{2}[/tex]
Answer this correct forr brainliest answer
Answer:
D
Step-by-step explanation:
1 1/5 = 6/5. 6/5 x 8/8 = 48/40.
2 1/8 = 17/8. 17/8 x 5 = 85/40
:)
Answer:
D) [tex]\frac{48}{40} + \frac{85}{40}[/tex]
Step-by-step explanation:
[tex]1 \frac{1}{5} =5*1+1= 5+1 =6[/tex]
[tex]\frac{6}{5}[/tex]
[tex]2\frac{1}{8}=8*2+1=16+1 = 17[/tex]
[tex]\frac{17}{8}[/tex]
5 and 8 have a common multiple of 40
[tex]\frac{6}{5}[/tex] + [tex]\frac{17}{8}[/tex] = [tex]\frac{48}{40} + \frac{85}{40}[/tex]
Hope this helps!
If an exterior angle measure of a regular
polygon is 20°, how many sides does the
polygon have? What is the measure of each interior angle?
Answer:
n=18 sides
Step-by-step explanation:
Given: Exterior angle =20°
Find: sides of a regular polygon
Solution: θ=(360°)/side , θ=20°
Let n= number of sides
θ=360°/n
20=360/n
n=360/20
n=18
I have a problem with this question. Please help, thank you.
Answer:
x= 7/12
Step-by-step explanation:
3/4- 1/6
18/24- 4/24
14/24
7/12
Gerald fi nds that it takes 30 ml of a
standard solution to neutralize 12 ml of
a solution of unknown concentration.
If he starts with 20 ml of the unknown
solution, it takes 50 ml of standard
solution to neutralize it. Assuming a linear
relationship exists between the amount
of unknown solution and the amount of
standard solution required to neutralize
it, how much unknown solution can
be neutralized with 175 ml of standard solution?
calculate the interest if R300 is invested for 3years at 5% per annum compound interest.
Answer:
SIMPLE INTEREST=PRT/100
P=300
R=5%
T=3
SI=300×5×3/100
SI=3×5×3
SI=45
Answer:
Compound InterestPrincipal(P) = R300 rate( r )=5% n=5 years
Total amount
= P(1+r/100)^n
= 300(1+5/100)^3
=R347. 2875
Interest
= Total amount - Principal amount
= 347.2875 - 300
= R47.2875
= R47.30( rounded up to 2
decimal places)
There are 6 classes going on a field trip. Each class has 26 students.
Each car can hold 5 students. How many cars are needed to get all
he students to the field trip?
Answer:
32 cars
Step-by-step explanation:
If each class has 26 students, we can multiply the number of classes, 6, by the amount of students in each class, to find the total amount of students going on the field trip.
6 * 26 = 156 students
Each vehicle can hold 5 students. To find the amount of vehicles needed to transport all the children, we need to divide the number of students by 5.
156 / 5 = 31.2 vehicles
I don't think they plan on driving 0.2 of a vehicle, so we would have to round. We can't round down because if we did, there would be one student left.
31 * 5 = 155 students
Unless the student plans on biking there, they would have to have 32 cars ready to drive the students to the field trip.
Complete the statement below.
The
property can be used to remove the parentheses in the expression 1.7(x + 9).
Answer:
I believe it is the "square root" sign
Answer:
distributive
Step-by-step explanation:
Gasoline costs $3.25 per gallon How much does it cost to drive
the 838 miles to Seattle if your car gets 27 miles per galona
Answer:
$100.87 (to the nearest cent)
Step-by-step explanation:
1 gallon = 27 miles
⇒ number of gallons needed to drive 838 miles = 838 ÷ 27 = 31.0370370... gallons
1 gallon = $3.25
⇒ total cost to drive 838 miles = 3.25 x 838/27 = $100.87 (to the nearest cent)
1 kg = 2.2 lb. Dan weighs 170 lb. How many kilograms does he
weigh?
Round answer to the nearest tenth.
Solve the following inequality.
-10 < 5 + X <-5
[?] < < <[ ]
Enter
Solution:
Simplify the inequality one by one:
-10 ≤ 5 + x < -5=> -10 - 5 ≤ x => -15 ≤ x => 5 + x < -5=> x < -5 - 5=> x < -10This means that...
-15 ≤ x < -10Hoped this helped!
Required solution :
First solving for -10 < 5 + x
⇒-10 - 5 < x
⇒ -15 < x
Now for 5 + x < -5
⇒ x < -5 - 5
⇒ x < -10
Therefore,
-15 < x < -10help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please
okay put heat on the left
Step-by-step explanation:
Answer:
The heat is rising is progressive tense.
The steak was cooking nicely is perfect tense.
A day at the mall will be boring is progressive tense.
Ed will have finished by now is perfect tense.
I have weeded the garden is perfect tense.
Eva had read that mystery novel is perfect tense.
Step-by-step explanation:
The progressive tenses are used to indicate an unfinished action. The perfect tenses describe a finished action, beginning in the past.
You have $575 to spend on clothes for the school year. You want to by 8 pairs of pants that cost $352.45 including tax and hoodies that will have a 8.7 % sales tax. What is the inequality that represents the amount of money you have to spend?
Answer:
352.45 + 1.087x ≤ 575
Step-by-step explanation:
The most you can spend is $575, so the total you spend must be ≤ 575.
You already have a total for the pants of $352.45.
352.45 + price of hoodies ≤ 575
Let x = total price of the hoodies before tax.
The price of the hoodies with tax is
x + 8.7% of x = x + 0.087x = 1.087x
The inequality is
352.45 + 1.087x ≤ 575
How to solve questions
Help please.
Which statements apply to the expression 3/5 ³
Answer:
A is true. (3/5)³ has base 3/5
C is true. (3/5)³ has exponent 3.
D is true. (3/5)³ = 3/5 × 3/5 × 3/5.
G is true. (3/5)³ = 3/5 × 3/5 × 3/5 = 27/125
A bag contains 4 black balls and 6 white balls. Sarah picks a ball at random from the bag and replaces it back in the bag. She then picks another ball at random from the bag.
You may draw a tree diagram on paper to answer the following questions.
Calculate the probability that she picks
a) 2 white balls or 2 black balls
Answer:
13/25
Step-by-step explanation:
number of black balls = 4
number of white balls = 6
⇒ total number of balls = 10
As the balls are always replaced after being picked:
probability of picking a black ball = P(B) = 4/10probability of picking a white ball = P(W) = 6/10Therefore,
P(W) and P(W) = 4/10 x 4/10 = 16/100 = 4/25
P(B) and P(B) = 6/10 x 6/10 = 36/100 = 9/25
P(W and W) or P(B and B) = 4/25 + 9/25 = 13/25
At Best Buy they have a 60" TV that sells for $1250 and is on sale for 15% off. If the sales tax is 6.5%, what is the final cost?
Answer:
Step-by-step explanation:
The sale price = Initial Cost - 15% of the initial Cost
The sale price = 1250 - 15/100 * 1250
The sale price = 1250 - 187.5
The Sale Price = 1062.5
Now you add on the sales tax
Cost with Sales Tax = 1062.50 + 6.5/100 * 1063
Cost with Sales Tax = 1062.50 + 69.06
Cost with Sales Tax = 1131.56 dollars.
A circle is shown 10 cm. What is the circumference of the circle, to the nearest tenth of a centimeter
Answer:
31.42cm
Step-by-step explanation:
Answer. We know that C = πd. Since the diameter is 10cm, we know that C = π x 10cm = 31.42cm (to 2 decimal places).
10. Jan purchased 140 shares of stock in the ABC Company at a price of $18.75 per share. During the
next three days, the value declined by $1.00, $1.75 and $1.50. What was the value of a share of ABC
stock at the end of three days?
[tex]\bold{\huge{\orange{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given :- }}[/tex]
Jan purchased 140 shares of stock in ABC company at a price of $18.75 per share During the next 3 days, the value of share declined by $1.00 , $1.75 and $1.50[tex]\bold{\underline{ To \: Find :- }}[/tex]
We have to find the value of a share of ABC stock at the end of 3 days[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]
According to the question,
Cost of 1 share of ABC company = $18.75
Therefore,
Cost of 140 shares purchased by Jan in the ABC company
[tex]\sf{ = 140 × 18.75 }[/tex]
[tex]\sf{ = 2625\: dollars }[/tex]
Now,
For next 3 days, the value of share declined
[tex]\sf{ = (1 + 1.75 + 1.50)dollars }[/tex]
[tex]\sf{ = 4.25 \: dollars }[/tex]
Therefore,
The value of shares after 3 days will be
[tex]\bold{ = }{\bold{\frac{2625 - 4.25}{ 140}}}[/tex]
[tex]\bold{ = }{\bold{\frac{ 2620.75}{ 140}}}[/tex]
[tex]\bold{\red{ = 18.75\: dollars}}[/tex]
Hence, The value of share after 3 days will be $18.75 .
find x in the following image
Answer:
70°
Step-by-step explanation:
As, the sum of the angles in a straight line is 180°.
<E F C + < E F B = 180
70 + < E F B = 180
< E F B = 180 - 70
< E F B = 110°
Also, we know that the sum of the interior angles in a quadrilateral is 360°
So,
< E A B + < A E F + < E F B + < F B A = 360
90 + 90 + 110 + x = 360
290 + x = 360
x = 360 - 290
x = 70°
Hope this helps you :-)
Let me know if you have any other questions :-)
A traveller arrived at 17: 25. The journey took 5 hours and 50 minutes. What time did the traveller start?
Explanation:
"5 hours 50 minutes" is close to "6 hours"
Let's subtract 6 hours from 17:25
It would drop us to 11:25 since 17-6 = 11.
When we subtracted 6 hours, we subtracted 10 extra minutes that we shouldn't have done. To fix this, add 10 minutes on to go from 11:25 to 11:35
Answer:
The traveler started at 11:35
Step-by-step explanation:
The question already gives you the time that the traveler arrived which is 17:25 and how long it took them to get to the desired location which was 5 hours 50 minutes. So what you need to do is subtract the time the traveler arrived to how long it took to get there.
Equation:
17:25 - 5:50
= 11:35
f(x) = x^3 - 5x^2 - x ; find f(3)
Answer:
Here is your answer
Step-by-step explanation:
Question: f(x)= x³-5x²-x
Answer:. f(3)=3³-5 x 3³ -3
f(3)=27 -135 -3
f(3)=27-138
f(3)=-111
hope this helps you
please mark me brainliest
have a great day :)
using Nets
Using the net below, find the surface area
of the rectangular prism.
5 in
3 in.
5 in.
5 in.
3 in.
5 in
3 in.
3 in.
Surface Area =
?) in.
Please help
Answer:
behold... the answer is..... 110! :)
what is 92 to the power of 3? please answer this!
Answer:
778688
Step-by-step explanation:
because you do 92 times 92 times 92!
please mark brainliest i need 2 more
giveing free ponits :) but u must tell me answer whats 9798 ÷456464 answer it or report
Answer:
See below.
Step-by-step explanation:
The answer is 0.02146500052, or 0.02.
-hope it helps
(Thanks.)
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
Caleb and Devon each bowled for [tex]10[/tex] hours and spent [tex]\$55[/tex].
Step-by-step explanation:
Equations:
Caleb: y = 4x + 15Devon: y = 5x + 5Where:
x = hours spent bowlingy = the total costSystem of equations:
[tex]\begin{cases}y=4x+15\\y=5x+5\end{cases}[/tex]
Solve for x
Step 1: Substitute the second equation into the first.
[tex]\implies 4x+15=5x+5[/tex]
Step 2: Subtract [tex]5x[/tex] from both sides
[tex]\implies 4x-5x+15=5x-5x+5[/tex]
[tex]\implies -x+15=5[/tex]
Step 3: Subtract [tex]15[/tex] from both sides.
[tex]\implies -x+15-15=5-15[/tex]
[tex]\implies -1x=-10[/tex]
Step 4: Divide both sides by [tex]-1[/tex] .
[tex]\implies \dfrac{-1x}{-1}=\dfrac{-10}{-1}[/tex]
[tex]\implies \boxed{x=10}[/tex]
Solve for y
Step 1: Substitute the found [tex]x[/tex] value into one of the system of equations.
[tex]\implies y=4(10)+15[/tex]
Step 2: Multiply and add.
[tex]\implies y=40+15[/tex]
[tex]\implies \boxed{y=55}[/tex]
Therefore, Caleb and Devon each bowled for 10 hours and spent $55.
what are the measures of the angles of a triangle (4x-4) 58 (8x-18)
The total cost of an eraser, 2 similar pens and a ruler is $13. The total cost of 2 similar erasers, a pen and a ruler is $11. The cost of 3 erasers is the same as that of 2 rulers. Find the cost of a ruler.
Answer:
$3
Step-by-step explanation:
Let the cost of an eraser, a pen and a ruler be $e, $p, and $r respectively.
Given:
e +2p +r= 13 -----(1)
2e +p +r= 11 -----(2)
3e= 2r -----(3)
(1) ×3:
3e +6p +3r= 39 ----(4)
Substitute (3) into (4):
2r +6p +3r= 39
6p +5r= 39 -----(5)
(2) ×3:
6e +3p +3r= 33 -----(6)
Substitute (3) into (6):
2(2r) +3p +3r= 33
4r +3p +3r= 33
3p +7r= 33 -----(7)
Let's rewrite equations (5) &(7) so it's easier to compare them:
6p +5r= 39 -----(5)
3p +7r= 33 -----(7)
We can eliminate the term p to find the value of r. This can be done by making sure that the coefficient of p is equal in both equations.
(7) ×2:
6p +14r= 66 -----(8)
(8) -(6):
6p +14r -(6p +5r)= 66 -39
Expand:
6p +14r -6p -5r= 27
9r= 27
r= 27 ÷9
r= 3
Thus, the cost of a ruler is $3.