9514 1404 393
Answer:
$12 for each shirt
Step-by-step explanation:
If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...
6s +3t -79.50 = 0
3s +2t -41.00 = 0
The solution for s can be found using the "cross multiplication" technique.
Differences of products can be formed:
d1 = (6)(2) -(3)(3) = 3
d2 = (3)(-41) -(2)(-79.50) = 36
Then we have ...
1/d1 = s/d2 ⇒ s = d2/d1 = 36/3 = 12
The cost of each shirt is $12.00.
___
2 ties cost 41-36 = 5, so each one is $2.50.
_____
Additional comment
The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.
This method solves the general-form equations ...
ax +by +c = 0dx +ey +g = 0by considering the two rows of coefficients:
a, b, c, ad, e, g, dThen differences of cross-products are formed in adjacent columns:
d1 = ae -db
d2 = bg -ec
d3 = cd -ga
The solutions are ...
1/d1 = x/d2 = y/d3 ⇒ x = d2/d1, y = d3/d1
what are all of the equivalent fractions for 1/3
Answer:
2/6 3/9
Step-by-step explanation:
Sylvia uses 1 over 4 cup of butter for each batch of cookies she makes. Which expression shows how many cups of butter Sylvia needs for left parenthesis x right parenthesis number of batches of cookies?
Answer:
4(1/4 x)
Step-by-step explanation:
I had this question.
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.14 gallons. A previous study found that for an average family the variance is 1.69 gallons and the mean is 15.9 gallons per day. If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.
Answer:
A sample of 179 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A previous study found that for an average family the variance is 1.69 gallon?
This means that [tex]\sigma = \sqrt{1.69} = 1.3[/tex]
If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?
A sample of n is needed, and n is found for M = 0.14. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.14 = 1.44\frac{1.3}{\sqrt{n}}[/tex]
[tex]0.14\sqrt{n} = 1.44*1.3[/tex]
[tex]\sqrt{n} = \frac{1.44*1.3}{0.14}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2[/tex]
[tex]n = 178.8[/tex]
Rounding up
A sample of 179 is needed.
A SPINNER IS DIVIDED INTO EQUAL BLACK, WHITE, RED. YELLOW, AND GREEN
SECTIONS. IF I SPIN THE SPINNER 95 TIMES ABOUT HOW MANY TIMES WOULD IT LAND ON YELLOW
Answer:
We would expect to get yellow 19 times.
Step-by-step explanation:
The probability of getting yellow is 1/5 (It is one out of five options)
To find how many times it is probable to get yellow, multiply this probability by the number of trys: (1/5)(95)=19
How many ways can you arrange the letters in the word MARBLE if the letters B and L have to
stay together?
Answer:
I thought of 10
Step-by-step explanation:
Ambler, blamer, ramble, amble, blame, abler, blare, blear, blam, blae
geometry multiple choice
(will mark brainliest)
Answer:
The opposite angles of a quadrilateral inscribed in a circle are supplementary.
Step-by-step explanation:
Geometry Fact: the opposite angles in a quadrilateral inscribed in a circle are supplementary (i.e., the sum of the opposite angles is equal to 180˚.).
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 12 feet in length. How many 9-inch pieces can the dressmaker cut from 5 of these rolls of ribbon?
Answer:
She can cut 6 nine inch pieces.
Step-by-step explanation:
12x5=60 and 9 goes into 60 6 times which equals 54.
Step-by-step explanation:
i can't help you because that i am no a unit test i am so sorry for not help you
6x+2+11x+8=180 what's the value of x?
Answer:
x=10
Step-by-step explanation:
Six children want to share five chocolate bars fairly. How much chocolate will each child get?
Answer:
0.8 of a chocolate bar
Step-by-step explanation:
Bc 5 divided by 6 is 0.8
someone please help me answer this!!
Answer:
100 in is the answer.
Step-by-step explanation:
a = 60 in
b = 80 in
c = ?
According to the Pythagorean theorem,
a² + b² = c²
60² + 80² = c²
3600 + 6400 = c²
c² = 10000
c = 100 in
∴ the distance between the opposite corners of the bed is 100 in
Find the percent of change. Round to the nearest tenth of a percent if necessary.
1/4 to 1/2
9514 1404 393
Answer:
100%
Step-by-step explanation:
The percentage change can be computed from ...
pct change = ((new value)/(old value) -1) × 100%
= ((1/2)/(1/4) -1) × 100%
= (2 -1) × 100%
= 100%
The increase by 1/4 from 1/4 to 1/2 is an increase of 100%.
5. During the day a person consumes 360 calories from fruit. How many calories does this person consume in their daily diet? *
PLEASE HELP
A. 1,600
B. 2,300
C. 2,400
D. 2,600
Answer:
I believe that it is C.
Step-by-step explanation:
360x0.15 = 24, 15% is from the given chart...
I am not 100% sure, but I do think that this is right.
The solution is : The weight of an individual who consumes 1,370 calories per day is 137 pound.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Given:
1,050 calories should be consumed daily for a 105-pound person.
Now, to get the weight of an individual who consumes 1,370 calories per day.
If 1,050 calories should be consumed per day for = 105-pound person.
So, 1 calorie should be consumed per day for =105/1050
=1/10
Then, 1,370 calories consumed per day for weight of =1370/10
= 137 pounds
Therefore, the weight of an individual who consumes 1,370 calories per day is 137 pound.
To learn more on division click:
brainly.com/question/21416852
#SPJ2
complete question:
The number of calories needed in a daily diet varies directly as the weight of an individual. If 1,050 calories should be consumed daily for a 105-pound person, what is the weight of an individual who consumes 1,370 calories per day?
the total cost of. $220 meal with 25% tip.
Answer:
275
Step-by-step explanation:
Answer:
Total Cost = $275
Step-by-step explanation:
25% = 0.25
Multiply $220 by 0.25 to get 25% of $220.
0.25 × $220 = $55
Now add $220 and $55 to get the total cost.
$220 + $55 = $275
which of these object does not represent a plane
a .top of a box b .blackboard c. cover of the book the d. star in the sky
Answer:
D. star in the sky
Step-by-step explanation:
To be honest, none of them represent the plane but I think that's a better answer. OwO
P=(L+B), then B=_____?
Answer:
P = L+B
B = P-LHope it helps
Bill launched a model rocket, and estimated its height h, in feet, after 1 seconds. His results are shown in the table.
Time to 1 2 3 4
Height, h 0 110 190 240 255
Bill's data can be modeled by the function h(t) = -16t2 + 128t.
Which value is the best prediction for the height of the rocket after 5.5 seconds?
A. 150 ft
B. 180 ft
C. 220 ft
D. 250 ft
E 260 ft
Answer:
22ft
Step-by-step explanation:
Given the height of Bills modeled by the function h(t) = -16t^2 + 128t.
To get his height after 5.5secs, we will replace t with 5.5 a shown;
h(t) = -16t^2 + 128t.
h(5.5) = -16(5.5)^2 + 128(5.5)
h(5.5) = =-484+704
h(5.5) = 220ft
Hence his height after 5.5secs is 22ft
Complete the equation so that it represents the proportional relationship
shown in the table.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
A scale of 3
Step-by-step explanation:
dd2d2de2f3f
Alam Subscribes to a website for processing her digital pictures The Subscription is 5.95 Per month and each 4 x 6 photo cost $.19 each. If she has a total of $15.83 in her website account, How many photos did she print at least?
Group of answer choices {select all that apply}
52 or more
52 or Less
77 or more
As many as she wants
Answer:
77or more
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
(3, -2)
Step-by-step explanation:
6×squared plus 15×plus 4×
Answer:
56
Step-by-step explanation:
6^2 = 36
36 + 15 = 51
51 + 4 = 56
SUPER EASY QUESTION WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!! (no links please
what is 11683.94 rounded to the nearest tenth.
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
<5,2>
Step-by-step explanation:
Make 6 prime number using 1,2,3,4,5,6,7,8,9
Answer:
13,67,29,17,19,23
Step-by-step explanation:
Answer:
1+2=3
2+3=5
4+3=7
9+2=11
9+4=13
3-1=2
which sides form a right triangle
Answer:
c
Do i get brainliest lol
Find the distance between the given points. Round to the nearest tenth. 2,2 and -1,4
Answer:
2
Step-by-step explanation:
The area of a rectangle is 56 square inches the rectangle is 8 inches long how wide is the retangle
Answer:
7 inches
Step-by-step explanation:
56/8=7
Area/length=width
The parallelogram shown below had an area of 60 units2. Find the missing base.
Answer:
I can't find the missing parallelogram, let alone the base.
Step-by-step explanation:
What is the value of 6(x + 15) - 12 when x = 12?
provided on your answer document.
Answer: 162
Step-by-step explanation:
6(12+15) Following the order of operations, (P.E.M.D.A.S), you should do parentheses first. So you add 12 and 15 to get 27. Were left with 6(27). So we multiply 6 and 27. The final answer is 162.
4
27
x 6
--------
162
What is the surface area of the figure below? Round your answer to the nearest tenth square unit.
Answer: 297 i believe i am a little rusty at this