Answer:
A school ordered 300 bulbs that cost $1 and 150 bulbs that cost $2.
Step-by-step explanation:
Let [tex]u[/tex] denotes number of light bulbs that cost $1 and [tex]v[/tex] denotes number of light bulbs that cost $2.
Twice as many $1 bulbs as $2 bulbs were ordered.
[tex]u=2v[/tex]
A school ordered $600 worth of light bulbs.
[tex]u(1)+v(2)=600\\u+2v=600[/tex]
Put [tex]u=2v[/tex] in [tex]u+2v=600[/tex]
[tex]2v+2v=600\\4v=600\\\\v=\frac{600}{4}\\\\v=150[/tex]
Put [tex]v=150[/tex] in [tex]u=2v[/tex]
[tex]u=2(150)=300[/tex]
Therefore,
A school ordered 300 bulbs that cost $1 and 150 bulbs that cost $2.
Stephanie adds pennies, nickels and quarters to a scale until the mass of the combined coins is $75$75 grams. Each penny has a mass of $2.5$2.5 grams, each nickel has a mass of $5$5 grams and each quarter has a mass of $5.7$5.7 grams.
Create an equation to model this situation, where $x$x is the number of pennies, $y$y is the number of nickels and $z$z is the number of quarters that Stephanie can put on the scale so that the mass of the combined coins is exactly $75$75 grams.
Solve for x in the following diagram. Round your answer to nearest tenth.
Answer:
48.3
Step-by-step explanation:
→ See what side is not given
Opposite
→ Find a triangle with out an O in it
Cos = Adjacent / Hypotenuse
→ Make what you want to find the subject
Hypotenuse = Adjacent / Cos
→ Substitute the numbers into the formula
41 / cos (32) = 48.3
Martin is an artist who molds plaster into unique shapes. How much plaster can Martin fit into the mold shown? Cuboid with length as 1 ft, height as 2 ft and width as 1 ft. Is placed above the cuboid with length, height and width as 4 ft. A. 66 ft3 B. 80 ft3 C. 128 ft3 D. 256 ft3
Answer:
[tex]Amount = 66ft^3[/tex]
Step-by-step explanation:
No attachment given, but the question can still be solved.
Given
Cuboid 1
[tex]Length = 1ft[/tex] [tex]Width = 1ft[/tex] [tex]Height = 2ft[/tex]
Cuboid 2
[tex]Length = Width = Height = 4ft[/tex]
Required
How much plaster can fit in
To do this, we simply calculate the volume of the shape
For cuboid 1
[tex]Volume = Length * Width * Height[/tex]
[tex]V_1 = 1 * 1 * 2[/tex]
[tex]V_1 = 2ft^3[/tex]
For cuboid 2
[tex]V_2 = 4 * 4 * 4[/tex]
[tex]V_2 = 64ft^3[/tex]
Amount of plaster is then calculated as:
[tex]Amount = V_1 + V_2[/tex]
[tex]Amount = 2ft^3 + 64ft^3[/tex]
[tex]Amount = 66ft^3[/tex]
ANSWER ASAP PLEASE!!
Chris wrapped a present with the following dimensions: a length of 5 in, a width of 4 in and a height of 6 in. Henry wrapped a present that had a height that was double Chris’ present’s height. How much more wrapping paper will Henry need than Chris? Use the following fomulas as needed: Question 7 options: 108 square inches 148 square inches 256 square inches 404 square inches
Answer:
Hey there, the answer 108 hope this helps!
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
81/x - 3 = 6 2x - 3 = 15Answer:
it's only the last two
Step-by-step explanation:
3x + 2 = 25
3x + 2 - 2 = 3x
25 - 2 = 23
3x = 23
3x / 3 = x
23 / 3 = 7 2/3
x = 7 2/3 not this one
x/3 + 7 = 8
x/3 + 7 - 7 = x/3
8 - 7 = 1
x/3 = 1
x/3 * 3 = x
1 * 3 = 3
x = 3 not this one
4 + 5x = 18
4 + 5x - 4 = 5x
18 - 4 = 14
5x = 14
5x / 5 = x
14 / 5 = 2 4/5 not this one
24 - 2x = 13
24 - 2x - 24 = -2x
13 - 24 = -11
-2x = -11
-2x / -2 = x
-11 / -2 = 5 1/2 not this one
81/x - 3 = 6
81x - 3 + 3 = 81/x
6 + 3 = 9
81/x = 9
81/x * x = 81
9 * x = 9x
81 = 9x
81 / 9 = 9
9x / 9 = x
9 = x this one
2x - 3 = 15
2x - 3 + 3 = 2x
15 + 3 = 18
2x = 18
2x / 2 = x
18 / 2 = 9
x = 9 this one
rewrite 2 x 2^4 as an expression as a single power
If you're wanting it alone just with the exponents, here is how you're going to do it:
Technically, the 2 alone has a power, and it's simply just one. When exponents are being used in numbers multiplying together, they add.
So, to simplify this it'd be 2^5.
If you're wanting the actual answer, you would do exponents first. Remember that exponents are just the number being multiplied by itself x times:
2 x 2 x 2 x 2 = 16
Now we just need to multiply this by 2 and you'll get 32.
OR, if you do the 2^5, you'll still get 32!
Compare the two box plots below. Which would have a larger IQR?
Box-and-Whisker Plots ( Read ) | Statistics | CK-12 Foundation
Question 4 options:
A.They have the same IQR
B. Varsity has a larger IQR
C. Junior Varsity has a larger IQR
D. There is not enough information provided
Answer:B. Varsity has a larger IQR
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Ms. Mitchell's coin purse has 20 coins. There are 6 pennies,4 quarters,3 dimes, and the remainder are nickels. What is the theoretical probability of randomly selecting a nickel from Ms. Mitchell's coin purse?
Solve the following inequality for y.
18x + 6y > 12
Answer:
12
Step-by-step explanation:
Simplifying
18x + -6y = 12
Solving
18x + -6y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6y' to each side of the equation.
18x + -6y + 6y = 12 + 6y
Combine like terms: -6y + 6y = 0
18x + 0 = 12 + 6y
18x = 12 + 6y
Divide each side by '18'.
x = 0.6666666667 + 0.3333333333y
Simplifying
x = 0.6666666667 + 0.3333333333y
-2x - 3 = 9 show your work
Answer:
-X=6
Step-by-step explanation:
-2X-3=9
-2X=9+3
-2X=12
12÷2=6
-X=6
A recipe calls for 2 cups sugar to 3 cups flour. How many cups of sugar is needed for 9
cups of flour?
a.
6 cups
b. 4 cups
c. 5 cups
d 7 cups
Answer:
a) 6 cups
Step-by-step explanation:
We can use a ratio for this:
sugar : flour
2 : 3
x : 9
2 3
--- = ---
x 9
Cross multiply:
2 (9) = 3x
18 = 3x
6 = x
x = 6
To double-check, you can plug the value back into the ratio and make them fractions, then simplify to see if it gets the original amount. Here's what I'm talking about:
2 : 3
x : 9 ======> 6 : 9
[tex]\frac{6}{9} \frac{/3}{/3} = \frac{2}{3}[/tex]
find the circumference of circle if the diameter is 7.8cm
Answer:
24.5
Step-by-step explanation:
the radius is half of a diameter
so the radius is 3.9
24.5 = 2πr= 2 * π * 3.9 ≈ 24.504
I’ll mark brainliest if correct :)
Answer:
x = -2
y = 9
Step-by-step explanation:
y = -3x + 3
y = 5x + 19
We can put one y as another:
-3x + 3 = 5x + 19
-8x = 16
x = -2
And now let's check using x = -2
y = (-3 * -2) + 3
y = (5 * -2) + 19
y = 6 + 3
y = -10 + 19
y = 9
y = 9
SOMEONE PLEASE HELP ME OUT BRO PLEASE Find the value of each variable. For each circle, the dot represents the center. DUED BY 11
Answer:
hi here it is
Step-by-step explanation:
the area is squared
Write the sentence as an equation.
306 is equal to 80 subtracted from q
Answer:306 = 80-q is the answer
the value of n. 3n = (3^2)8
Answer:
Step-by-step explanation:
3n = 3² × 8 3² = 3 × 3
n × 3 = 3 × 3 × 8 notice a times 3 on both sides of the equation
divide both sides by 3
n = 3 × 8
n = 24 <---------------- FINAL ANSWER
Find TV if TL = 5x + 3 and VL = 5x - 7
Answer:
10
Step-by-step explanation:
TV=TL-VL. TL=5x+3 and VL=5x-7. (5x+3)-(5x-7)=5x+3-5x+7=3+7=10. TV=10.
Answer: 10?
Step-by-step explanation:
five pizzas cost $42.50. At that rate, how much will 16 pizzas cost.
CAN SOMEONE PLEASE HELP ME WITH THIS ASSIGMENT WILL MARK BRAINLIEST
When 28 is added to 3 times a number y and the sum is divided by 2, the result is 2 times the number y . What is the value of y?
14
B
25
с
28
D
30
ОО
E
33
Answer:
c
Step-by-step explanation:
I did this test thing
Before hypothesis testing and at the beginning of a study, a researcher is advised to conduct _____ because it _____.
a. an effect size estimate; tells the researcher the number of participants needed for trustworthy results
b. alpha testing; determines how meaningful the study results will be
c. a statistical significance; determines how meaningful the study results will be
d. a power analysis; tells the researcher the number of participants needed for trustworthy results
Answer:
d. a power analysis; tells the researcher the number of participants needed for trustworthy results.
Step-by-step explanation:
A control experiment can be defined as an experiment in which a condition assumed to be a probable cause of the effect is being compared to the same situation by the scientist without involving or using the suspected condition.
A hypothesis is considered to be tentative or an educated guess and can be defined as a testable explanation for an observation or a scientific problem. An example of a hypothesis is saying, Corona virus is caused by the introduction of the "5G" technology.
This ultimately implies that, for any hypothesis to be acceptable in science, it must be supported by observations and the results of control experiments; this give rise to factual informations, theories and by extension solutions to problems.
Before hypothesis testing and at the beginning of a study, a researcher is advised to conduct a power analysis because it tells the researcher the number of participants needed for trustworthy results.
A power analysis should always be conducted before the collection of data because it will help you as a researcher to determine the smallest sample size that's accurate enough to detect the effect of a specific test at the desired statistical significance level.
A train with a mass of 1570 kg is moving at 3.2 m/s collides with a train at rest with a mass of 1224 kg. They stick together and move as one. What is the velocity of both trains together?
m1V1 + m2V2 = total total
PLEASE HELP The perimeter of an equilateral triangle is 48 cm . Find the height of the triangle to the nearest whole number please
*UNKNOWN LINKS WILL BE REPORTED
Answer:
17.2 cm
Step-by-step explanation: Each side would be 19 cm since a triangle has three sides. Next, we will use pythagorean theory. Since the equation would be a^2 + b^2 = c^2. Since 19^2 is 361 and is getting subtracted by 64 (we get it because at the bottom, we have to split it. also, 8 squared is 64). Then we get 297, which the base root with one number behind the decimal would be 17.2 cm.
Please helppp me with me ASAP
Answer:
the formula for a triangle is height*base/2
plug it in and you get (3*6)/2=18/2=9
so, the answer is 9 mm2
joe worked 8days for a total of 58.4hours. If he worked the same number of hours each day, how many hours did he work in a day?
Answer:
7.3 hours per day.
Step-by-step explanation:
Just do 58.4 divided by 8 and you get 7.3.
*Hope this helps*
binomial expression
Answer
2.(2,1)
3. (2,2)
Step-by-step explanation:
Given,
2.2x+y=4
x+3y=_3
sol
2x+y=4..... equation i
x+3y=_3 ....eq ii
eq ii of 2 multiple the eq i
2x+y=4
2x+6y=_6
_ _ +
__________
o+ 5y = 10
y =10÷5
y = 2 ans
y valu put the eq 1
2x+y=4
2x+2=4
2x=4_2
2x=2
x=2÷2
x=1
3.
sol
3x+5y=4..... eq 1
x+3y=4 ..... eq 2
eq 2 multiple eq 1. 3
3x+5y=4
3x+9y=12
_ _ _
___________
0x+4y=8
4y=8
y=8÷4
y=2 ans
the y value put the eq 1
3x+5y=4
3x+5×2=4
3x+10=4
3x=10_4
3x=6
x=6÷3
×=2 ans
Answer:
(3, - 2 ) and (- 2, 2 )
Step-by-step explanation:
(8)
2x + y = 4 → (1)
x + 3y = - 3 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the x- term
- 2x - 6y = 6 → (3)
Add (1) and (3) term by term to eliminate x
0 - 5y = 10
- 5y = 10 ( divide both sides by - 5 )
y = - 2
Substitute y = - 2 into either of the 2 equations and solve for x
Substituting into (1)
2x - 2 = 4 ( add 2 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
solution is (3, - 2 )
---------------------------------------------
(9)
3x + 5y = 4 → (1)
x + 3y = 4 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the x- term
- 3x - 9y = - 12 → (3)
Add (1) and (3) term by term to eliminate x
0 - 4y = - 8
- 4y = - 8 ( divide both sides by - 4 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (2)
x + 3(2) = 4
x + 6 = 4 ( subtract 6 from both sides )
x = - 2
solution is (- 2, 2 )
1) Jorge fez quatro vendas: na primeira teve prejuízo de R$10,00, na segunda teve prejuízo de R$21,00, na terceira teve lucro de R$13,00 e na última teve lucro de R$50,00. Analise e assinale qual das alternativas é a correta. *
1 ponto
a) (+10) + (+21) + (+13) + (+50)
b) (-10) + (-21) + (-13) + (+50)
c) (+10) + (+21) + (-13) + (-50)
d) (-10) + (-21) + (+13) + (+50)
preciso da resposta rápido por favor !!!
Given variables x, y, and z. What is the end value of y?
x = 9
y = x + 1
x = 5
A. 9
B. 10
C. 5
D. 1
9514 1404 393
Answer:
B. 10
Step-by-step explanation:
If this is a list of statements in a programming language that is processed sequentially, y is assigned the value 9+1 = 10. There is no further assignment to y, even after the value of x is changed. So, the final value of y is 10.
__
Additional comment
Some programming languages do their processing in parallel, so that the definition of y would be updated when the value of x gets updated. In that case, the value of y would be changed to 5+1 = 6. Since this is not a choice, the problem is apparently supposed to be interpreted as above.
Given STU and DEF , what is m∠E
Answer:
105
Step-by-step explanation:
by sss congruency we conclude that they are similar.
29+46=75
180-75=105
A group of friends wants to go to the amusement park. They have no more than $245
to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per
person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?
Answer:
9.25 + 25.75p ≤ 245
Step-by-step explanation:
I didn't see any inequality options to select from . . .