Answer:
[tex]-2^{\circ}\text{F}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the temperature on the first day
Second day temperature
[tex]x+7[/tex]
Third day temperature
[tex]x+7-10[/tex]
Fourth day temperature was [tex]1^{\circ}\text{F}[/tex]
[tex]x+7-10+6=1\\\Rightarrow x+3=1\\\Rightarrow x=1-3\\\Rightarrow x=-2^{\circ}\text{F}[/tex]
On the first day the temperature was [tex]-2^{\circ}\text{F}[/tex]
You have 10 friends coming to the party, so you need to buy enough packages of cupcakes and brownies for everyone to get at least two. Don't forget yourself!
Answer:
44 cakesStep-by-step explanation:
Step one:
we are told that there are 10 friends coming,
if you are going to include yourself, a total of 11 persons in the party.
if everyone will have at least 2 of cupcakes and brownies, hence they will get 4 cakes each
Step two:
The total number of cakes you will need to get for everyone is
4*11= 44 cakes
Hence you will need 44 cakes with you inclusive
It takes a barber 12 minutes to shave a face and 30 minutes to give a haircut. The barber works for 6 hours straight and spends twice as much time shaving faces as he does giving haircuts. If two of his customers get both a haircut and a shave, then how many customers does he see in total?
Answer:
7 customers
Step-by-step explanation:
Choose the graphs that indicate equations with no solution
Answer:
The ones that dont touch are 2
Step-by-step explanation:
Jordan's activity tracker showed that when she walked for 12 minutes she took 804 steps. Karen's activity tracker showed that she walked 2,100 steps in 32 minutes. Who was walking at a faster rate?
Given:
Jordan's walked for 12 minutes she took 804 steps.
Karen's walked 2,100 steps in 32 minutes.
To find:
Who was walking at a faster rate?
Solution:
We need to find the unit rate of Jordan and Karen.
[tex]\text{Unit rate}=\dfrac{\text{Total steps}}{\text{Total time}}[/tex]
Unit rate of Jordan,
[tex]\text{Unit rate}=\dfrac{804}{12}[/tex]
[tex]\text{Unit rate}=67[/tex]
Unit rate of Karen,
[tex]\text{Unit rate}=\dfrac{2100}{32}[/tex]
[tex]\text{Unit rate}=65.625[/tex]
Clearly, 67 > 65.625.
Since, unit rate of Jordan is greater, therefore she walked faster.
Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for a total of $23. How much would it cost to order 5 pizzas and 6 orders of breadsticks?
Answer:
$54.50
Step-by-step explanation:
3 pizzas + 2 breadsticks = $29.50
2 pizzas + 3 breadsticks = $23
5 pizzas + 6 breadsticks = $x
multipy first equation by 3 and second by -2
9 pizzas + 6 breadsticks = $88.50
-4 pizzas -6 breadsticks = $-46
add the equations up, 9-4 pizzas + 6-6 breadsticks = $88.50-46
5 pizzas = $42.50 , divide by 5 both sides
1 pizza = $8.50
Substitute the price of a pizza, 2 pizzas + 3 breadsticks = $23
2*8.50 + 3breadstiks = $23
17 + 3 breadsticks = $23 subtract 17 from both sides so
3 breadsticks = $23 -$17 divide by 3
1 breadstick = 6/3= $2
$5*8.50 for pizzas + $6*2 for breadsticks = $54.50
A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15
inches longer than the width. Find the width.
Answer:
So, the required width of rectangular piece of aluminium is 8 inches
Step-by-step explanation:
We are given:
Perimeter of rectangular piece of aluminium = 62 inches
Let width of rectangular piece of aluminium = w
and length of rectangular piece of aluminium = w+15
We need to find width i.e value of x
The formula for finding perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]
Now, Putting values in formula for finding Width w:
[tex]Perimeter=2(Length+Width)\\\\62=2(w+15+w)\\62=2(2w+15)\\62=4w+30\\62-30=4w\\4w=32\\w=\frac{32}{4}\\w=8[/tex]
After solving we get the width of rectangular piece :w = 8
So, the required width of rectangular piece of aluminium is 8 inches
Kiran buys supplies for the school’s greenhouse. He buys 푓 bags of fertilizer and 푝 packages of soil. He pays $5 for each bag of fertilizer and $2 for each package of soil and spends a total of $90. The equation 5푓 +2푝 = 90 describes this relationship. If Kiran solves the equation for 푝, which equation will result?
Answer and explanation:
Given that Kiran buys x bags of fertilizer and y packages of soil
He pays $5 for each bag of fertilizer and pays $2 for each package of soil
He spends a total of $90
So his equation is
5x+2y= $90
If we solve the equation for y(packages of soil)
We would have:
2y=$90-5x
y= $90-5x/2
Therefore Kiran's equation to get number of packages of soil is
y=$90-5x/2
Jose is raising money for a school trip by selling lollipops and packs of cookies. The price of each lollipop is $1 and the price of each pack of cookies is $2. How much money would Jose raise if he sells 12 lollipops and 13 packs of cookies? How much money would Jose raise if he sells ll lollipops and pp packs of cookies?
Answer:
For the first question, he would raise $38.
Step-by-step explanation:
1 x 12 = $12
2 x 13 = $26
12 + 26 = $38
a family wants to rent a car to go vaction Company A charges $ 55.50 and 16 cent per mile Company B charges $ 45.50 and 10 cent per mile How much more does Company A charge for x miles than Company B plzzzzzzzzz help if u do funny business imma report u and get your acoount dellted thxxxs and byeeeee have a gooood dayyyyy
Answer:
Step-by-step explanation: company A $55.50 and 16 cent per mile
company B $45.50 and 10 cent per mile
company A $55.50+16=$55.66
Company B $45.50+10=$45.60
Company A charges $10 and 6cent more then company B
company B charges $45.50
Comapny A charges $55.50 + 16 cent
Company B charges $45.50+10
Solve for x and y
Plz I need help it’s for geometry
Answer:
Angle x = 21
Angle y = 146
Triangle ABC is similar to Triangle DEF. What is the scale factor from DEF (25 points)
to ABC?
Answer:
3/2 or 1.5 (A)
Step-by-step explanation:
9 divided by 6 is 1.5
15 divided by 10 is 1.5
12 divided by 8 is 1.5
Answer:
3/2 or 1.5 (A)
Step-by-step explanation:
The sun produces 3.3 x 10^ 32 joules of energy per day. A human produces 6.27 × 10^6 joules per day. How many times more energy does the sun produce than a human per day?
Answer:
The sum produces [tex]5.26*10^{25}[/tex] times more energy that a human.
Step-by-step explanation:
[tex]\frac{3.3*10^{32} }{6.27*10^{6} } \\= 5.26*10^{25}[/tex]
A car  travel 63 miles in 30 minutes if the car travels constant how many hours does the car travel in 50 minutes
Answer:105 miles
Step-by-step explanation
63/30= m/50
multiply 63x50
multiply 30x m
now you have
30m = 3150
so you divide
30m/30 and 3150/30
m=105
Answer:105 miles
Step-by-step explanation:
Please can you help me, I had to put this question up here twice
Answer:
The value of zis 23.
Step-by-step explanation:
here,
4x-69=2z-23(opposte angle of parallelogram are equal)
or,4x-2x=-23+69
or,2x=46
or,x=46/2
Therefore x=23#
You need at least 30 cubic feet of sand to fill a sand box. Each bag contains 2.5 cubic feet of sand. What is the minimum number of bags you need to buy?
Answer:
12 bags of sand
Step-by-step explanation:
The minimum number of sand to fill the sandbox = 30 cubic feet
The volume or quantity of sand per bag is = 2.5 cubic feet
The minimum number of bags needed to fill the sandbox = 30 / 2.5 = 12 bags
If you answer this I'll mark you the brainest
During a 4-second practice round, one of the Click Bots made only 8 clicks.
Amir claims that the unit rate is 2 clicks per second.
Chloe disagrees. She says it's 0.5 clicks per second.
Who is correct?
Amir or chloe and why ?
Answer:
Step-by-step explanation:
Answer:
amir is correct
Step-by-step explanation:
amir is correct because 8/4 is 2. Therefore if the button is clicked 2 times each second then the button will be clicked 8 times every 4 seconds
aye can u help me ??
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $3600 and his stock in Company B was worth $5350. The stock in Company A has increased 19% since last year and the stock in Company B has increased 24%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
I have the same question let me know if you get the answer
y=5x-17 y=x+3 can someone help me with this? thanks
Answer:
x=5, y=8
Step-by-step explanation:
we can use subsitution to solve this so:
5x-17=x+3 since they bot equal y (y=y)
4x-17=13 subtract x from both sides
4x=20 add 17 to both sides
x=5
then, plug in x to solve for y (either equation) :
y = x+3
y = (5) + 3
y = 8
The area of a trapezoid is 80 ft?. Its bases have lengths 26 ft and 14 ft. Find its height.
Plz HURRY
Answer it's 40 all you had to do was add 26 and 14 you get 40 then subtract from 80 then you find your height
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Add the height and width and you get 40 then take it from 40
Please answer :D Rearrange the linear equation so that it is in slope-intercept form. Identify the slope (m) and the y-intercept (b). You must show your work for full credit.
x - 4 = 2(y - 3)
Answer:
[tex]y=\frac{1}{2}x+1[/tex]
The slope is 1/2.
The y-intercept is 1.
Step-by-step explanation:
We have:
[tex]x-2=2(y-3)[/tex]
Let’s divide both sides by 2. This gives us:
[tex]\frac{x}{2}-\frac{4}{2}=y-3[/tex]
Simplify:
[tex]\frac{1}{2}x-2=y-3[/tex]
Add 3 to both sides:
[tex]\frac{1}{2}x+1=y[/tex]
Flip:
[tex]y=\frac{1}{2}x+1[/tex]
This is in the slope-intercept form:
[tex]y=mx+b\\[/tex]
Where m is the slope and b is the y-intercept.
Hence, our slope m is 1/2 and our y-intercept b is 1.
What is the next fraction in this sequence? Simplify your answer.
7 13 3 11
8, 16, 4, 16, ...
Submit
?
Answer:
12
Step-by-step explanation:
Which are skew lines? Check all that apply.
•A and B
•C and B
• B and E
• E and C
• A and E
• A and C
Answer:
C and B; A and C; E and C;
Step-by-step explanation:
Skew Lines are lines that do not intersect and are not parallel. Skew lines must be in 2 different planes because in 1 plane 2 lines either intersect or are parallel. Assuming that a,b, and e are on the plane in front and c is on the plane in the back we can say that A and B, B and E, and A and E can not be skew lines because they lie on the same plane. This leaves C and B, E and C, and A and C.
Answer:
C and B; E and C; A and C
Step-by-step explanation:
Answer
What is the answer?
-1.2x=12
775757874875875345634634563456
5
Keisha borrowed $8000 at a rate of 9.5%, compounded semiannually. Assuming she makes no payments, how much will she owe after 9 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:
Keisha will owe $18444.32 after 9 years
Step-by-step explanation:
Compound Interest
It occurs when the interest is added to the principal rather than paying it in.
It basically means paying interest over interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Keisha borrowed P = $8000 at a rate of r = 9.5% = 0.095 (assumed annual rate) compounded semiannually (twice a year).
If she makes no payments, the amount she owes increases over time. After t = 9 years, we can calculate the amount owed by using the above formula.
Please, note that since there are 2 compounding periods per year, n = 2, thus:
[tex]\displaystyle A=8000\left(1+{\frac {0.095}{2}}\right)^{2\cdot 9}[/tex]
Operating:
[tex]\displaystyle A=8000\left(1+0.0475\right)^{18}[/tex]
[tex]A = 8000\cdot 2.30554[/tex]
A = $18444.32
Keisha will owe $18444.32 after 9 years
Actual total direct labor $ 655,200 Actual hours worked 37,700 Standard labor-hours allowed for actual output (flexible budget) 36,500 Direct labor price variance $ 23,400 F Actual variable overhead $ 157,120 Standard variable overhead rate per standard direct labor-hour $ 4.20
Answer:
Complete question "Variable overhead is applied based on standard direct labor-hours allowed. Required: Compute the labor and variable overhead price and efficiency variances.
a. Direct labor
Direct labor price variance = (actual rate - standard rate)*actual hrs
(655,200-37700*x) = 23400
x = (655200+23400)/37700
x = 18
Efficiency variance = (Actual hrs - standard hrs allowed)*standard rate
= (37,700 - 36500)*18
= 21600 U
I. Price variance = 23,400 F
II. Efficiency variance = 21,600 U
b. Variable overhead
Price variance = (Actual rate - standard rate)*actual hrs
= (157120 - 37700*4.2)
= 1220 F
Efficiency variance = (Actual hrs - standard hrs allowed)*standard rate
= (37700-36500)*4.2
= 5040 U
I. Price variance = 1,220 F
II. Efficiency variance = 5,040 U
The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. Given this information, calculate the volume and surface area of the lid of the spherical shaped bottle.
Answer: Volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
Step-by-step explanation:
Given: For lid of the spherical shaped bottle,
Diameter = 5 cm
Height = 4.5 cm
Radius = Half of diameter = 2.5 cm
Volume of cone = [tex]\dfrac13\pi r^2 h[/tex]
Volume of lid [tex]=\dfrac13(3.14)(2.5)^2(4.5)=29.4375\approx29.44\text{ cm}^3[/tex]
Surface area of cone = [tex]\pi r\sqrt{h^2+r^2}[/tex] [as lide has no base we don't include area of base.]
Surface area of lid = [tex](3.14)(2.5)\sqrt{(2.5)^2+(4.5)^2}= 7.85\sqrt{26.5}\approx40.41\text{ cm}^3[/tex]
Hence, volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
Find the inequality represented by the graph
Answer:
y >or equal to 1/3x+1
hope that can help
Evaluate the limit 8n^2+5n+2/3+2n
Answer:
8n^2+7n+2/3
Step-by-step explanation:
combine like terms
5n+2n=7n
Answer: D on edg
Step-by-step explanation:
PLS HELP!!! WILL GIVE BRAINLIEST!!!
Answer:
A, C, and E
Step-by-step explanation:
C is correct because it is a vertical angle
E is correct because it is equal to angle 10 and 10 is a linear pair to angle 9
A is correct because it is equal to angle 6 and 6 is a linear pair to angle 5
Silvia opens a $500 simple interest checking account with a rate of 8%.After 6 months what is the interest rate on her account?