Answer:
60
Step-by-step explanation:
8x6=48
3x4=12
48+12=60
A pet store sells goldfish and hermit crabs,
The store sells 7 goldfish and 3 hermit crabs for $26.
• The store sells 4 goldfish and 5 hermit crabs for $28.
How much would the store sell 6 goldfish and 4 hermit crabs for?
Answer:
[tex]Cost = \$28[/tex]
Step-by-step explanation:
Given
Represent Goldfish with g and hermit crabs with h.
The first statement, we have:
[tex]7g + 3h = 26[/tex]
The second statement, we have:
[tex]4g + 5h = 28[/tex]
Required
Determine the selling price of 6 goldfish and 4 hermit crabs
The equations are:
[tex]7g + 3h = 26[/tex] --- (1)
[tex]4g + 5h = 28[/tex] --- (2)
Make g the subject in (2)
[tex]4g + 5h = 28[/tex]
[tex]4g = 28 - 5h[/tex]
Divide both sides by 4
[tex]g = \frac{1}{4}(28 - 5h)[/tex]
Substitute [tex]\frac{1}{4}(28 - 5h)[/tex] for g in (1)
[tex]7g + 3h = 26[/tex]
[tex]7(\frac{1}{4}(28 - 5h)) + 3h = 26[/tex]
[tex]\frac{7}{4}(28 - 5h) + 3h = 26[/tex]
Multiply through by 4
[tex]4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4[/tex]
[tex]7(28 - 5h) + 4*3h = 26*4[/tex]
Open bracket
[tex]196 - 35h + 12h = 104[/tex]
[tex]196 -23h = 104[/tex]
Collect Like Terms
[tex]-23h = 104-196[/tex]
[tex]-23h = -92[/tex]
Make h the subject
[tex]h = \frac{-92}{-23}[/tex]
[tex]h = \frac{92}{23}[/tex]
[tex]h = 4[/tex]
Substitute 4 for h in [tex]g = \frac{1}{4}(28 - 5h)[/tex]
[tex]g = \frac{1}{4}(28 - 5*4)[/tex]
[tex]g = \frac{1}{4}(28 - 20)[/tex]
[tex]g = \frac{1}{4}(8)[/tex]
[tex]g = 2[/tex]
This implies that:
1 goldfish = $2
1 hermit crab = $4
The cost of 6 goldfish and 4 hermit crabs is:
[tex]Cost = 6g + 4h[/tex]
[tex]Cost = 6*\$2 + 4*\$4[/tex]
[tex]Cost = \$12 + \$16[/tex]
[tex]Cost = \$28[/tex]
A bag contains red marbles, white marbles, and blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following. Enter your answers as fractions or decimals rounded to three decimal places.
(a)The probability that the first marble is red and the second is blue.
P(first white and second blue) =
The probability that both are the same color.
P(same color) =
Answer:
[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]
[tex]P(Same) = \frac{67}{210}[/tex]
Step-by-step explanation:
Given (Omitted from the question)
[tex]Red = 7[/tex]
[tex]White = 9[/tex]
[tex]Blue = 5[/tex]
Solving (a): [tex]P(First\ White\ and\ Second\ Blue)[/tex]
This is calculated using:
[tex]P(First\ White\ and\ Second\ Blue) = P(White) * P(Blue)[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{n(White)}{Total} * \frac{n(Blue)}{Total - 1}[/tex]
We used Total - 1 because it is a probability without replacement
So, we have:
[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{21 - 1}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{20}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{9*5}{21*20}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{45}{420}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]
Solving (b) [tex]P(Same)[/tex]
This is calculated as:
[tex]P(Same) = P(First\ Blue\ and Second\ Blue)\[/tex][tex]or\ P(First\ Red\ and Second\ Red)\ or\ P(First\ White\ and Second\ White)[/tex]
[tex]P(Same) = (\frac{n(Blue)}{Total} * \frac{n(Blue)-1}{Total-1})+(\frac{n(Red)}{Total} * \frac{n(Red)-1}{Total-1})+(\frac{n(White)}{Total} * \frac{n(White)-1}{Total-1})[/tex]
[tex]P(Same) = (\frac{5}{21} * \frac{4}{20})+(\frac{7}{21} * \frac{6}{20})+(\frac{9}{21} * \frac{8}{20})[/tex]
[tex]P(Same) = \frac{20}{420}+\frac{42}{420} +\frac{72}{420}[/tex]
[tex]P(Same) = \frac{20+42+72}{420}[/tex]
[tex]P(Same) = \frac{134}{420}[/tex]
[tex]P(Same) = \frac{67}{210}[/tex]
are squares parallelograms
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Answer:
yes
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.
_____
A rhombus is a special case of parallelogram in which adjacent sides are the same length.
A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.
__
An alternate route to the same conclusion is ...
A rectangle is a special case of parallelogram in which vertex angles are 90°.
A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.
Select the correct answer,
If x + 10 = 70, what is X?
O A.
40
OB.
50
Ос.
60
OD
70
O E
80
Reset
Next
-9(x+3) < 45
solve for x
Find the cosine of
A. 12/13
B. 13/12
C. 5/12
D. 5/13
Help hurry !!
Jessica is making 2 loaves of bread she needs 3/4 cup of sugar for each loaf her measuring cup only holds 1/4 cup how many times will the cup need to be filled
Answer:
The cup will be filled 6 times.
Step-by-step explanation:
If her measuring cup only holds 1/4 cups then we need to find how many 1/4 cups are in 3/4 cups:
(1/4) + (1/4) + (1/4) = 3/4
3/4 = 3/4
The measuring cup will have to be filled 3 times for 1 loaf.
If she has 2 loaves that means that she has to fill her 1/4 measuring cup 6 times (because 2 * 3 = 6)
Hope this helps!!
- Kay :)
HELP ME PLEASE (50 points) picture below HELP PLEASE
Answer:
72.32
Step-by-step explanation:
i have spoken
Answer:
72.32 degrees
Step-by-step explanation:
the picture shows a supplementary angle, which equals 180 degrees.
first, solve for x.
since the entire figure equals 180 degrees, set the equation equal to 180. then add in the measurements, which are 7x, 8x, and 44.4.
180 = 7x + 8x + 44.4
combine like terms (7x and 8x).
180 = 7x + 8x + 44.4 ⇒ 180 = 15x + 44.4
subtract 44.4 from both sides. the positive 44.4 will cancel out, so all you have to do is subtract 44.4 from 180.
180 - 44.4 = 135.6
now, your equation is...
135.6 = 15x
divide both sides by 15.
(135.6)/15 = (15x)/15 ⇒ 9.04 = x, or x = 9.04
now plug 9.04 in for x in both 7x and 8x.
7x ⇒ 7(9.04) ⇒ 63.28
8x ⇒ 8(9.04) ⇒ 72.32
*the highlighted angle, 8x, is 72.32 degrees.
checking your work:
now, all your measurements are 63.28, 72.32, and 44.4
check your work by adding all the measurements together and setting that equal to 180.
63.28 + 72.32 + 44.4 = 180
180 = 180
since both sides are equal, all of the values are correct!
now that you know your work is correct, it is fully safe to say that the highlighted angle is 72.32 degrees.
6. Stacy has 3 lb of grapes to make 10 bowls of fruit salad. If her recipe calls
for 4 oz of grapes per bowl, will she have enough grapes? How much leftover
does she have, or how much extra is needed?
Answer:
4.8oz
Step-by-step explanation:
So 1lb=16oz
16x3=48oz
48/10=4.8
Distributing them out she has little over enough for all 10
She will have half pound or 8 oz of grapes leftover.
What is unit conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
Given, Stacy has 3 lb. of grapes to make 10 bowls of fruit salad.
Since, 1 lb. = 16 oz.
So, Stacy has total grapes = 48 oz.
1 bowl of fruit salad Required = 4 oz. of grapes
Thus,
10 bowl of fruit salad required = 40 oz. of grapes
So, Leftover grapes = 48 -40
Leftover grapes = 8 oz or 1/2 lb.
Therefore, She will have half pound of grapes leftover.
Learn more about unit conversion here:
https://brainly.com/question/19420601
#SPJ2
which is longer 3 ft or 2 m
Answer:
2m is longer
Step-by-step explanation:
Suppose a scientist puts a colony of bacteria weighing 1 gram in a large container. Assume that these bacteria reproduce in such a way that their number doubles every 20 minutes.
Answer:
okkkkkkkkkkkkkkkkkkkkkkkkkkk
The first Olympics were held in Greece more than 7 x 7 x 7 x 7 years ago.
The factor
is the base.
The factor is multiplied
times.
The exponent is
.
Then determine its value.
Help meee !!! Last question
Answer:
It'll be 2. Equation 1 will be 4 times larger than equation 2,
exp. 1. 21/3*4
= 7*4
=28
exp 2. 21/3
= 7
Hence, it is four times
Hope it helped
All the best!! ♥
Subtract 1 3/8 from the sum of 3 3/4 and 5 1/6
Answer:
[tex] \frac{ - 1448}{192} = \frac{ - 181}{3} = - 60.3[/tex]
hope it's helpful ❤❤❤❤
THANK YOU.
Am I right or am I wrong ?
Answer:
7/15
Step-by-step explanation:
Yes you are correct with your answer as you cannot simplify further.
Answer:
Correct
Step-by-step explanation:
7/15 is in simplest form
mike can do 126 sit-ups in six minutes. how many sit-ups is that per minute?
Answer:
21
Step-by-step explanation:
126/6= 21 sit ups per minute
Find the circumference and the area plzzz
Answer:
3.
A) 43.96 cm (Circumference)
B) 153.86 square cm (Area)
4.
A) 62.8 ft (Circumference)
B) 314 square ft (Area)
Step-by-step explanation:
3. Radius 7 cm
7*2=14 (Find the diameter)
14*3.14= 43.96 cm (Circumference)
7*7=49 (Find the square of radius)
49*3.14 = 153.86 square cm (Area)
4. Diameter: 20 ft
20*3.14 = 62.8 ft (Circumference)
20/2=10
10*10=100
100*3.14= 314 square ft (Area)
Condos in norwood go up in value by 10% each year. if gregory family's condo is now worth $160,000, what will it be worth in 5 years? i will give brainliest to the person that answers first.
Answer:
$257,681.60
Step-by-step explanation:
What's happening here is called "compounding," and the appropriate formula is A = P(1 + r)^t, where r is the rate of increase as a decimal fraction.
With the given data, we have:
A = $160,000(1 + 0.10)^(5), or:
= $160,000(1.10)^5, or:
= $160,000(1.6105) = $257,681.60 : condo value after 5 years
Montrey recently paid off his simple interest loan. If he borrowed $6,500 for 5 years at 7%, what was the total amount he had to pay back?
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Answer:
$8,775
Step-by-step explanation:
The amount due is given by the formula ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years.
A = $6,500(1 +0.07×5) = $6,500(1.35) = $8,775
Montrey had to pay back $8,775.
Pls help meeee :))))))
Answer:
A. 1.80
Step-by-step explanation:
Answer:
A. 1.80
Explanation:
Solve for x.
a. 2/7(x-4)=2
b. -85x+74=499
c. 3/5x+22=127
help asp
Answer:
a. X=11
b. X=-5
c. X=175
What is the measure of angle x?
A right angle is shown divided into two parts. The measure of one part of the right angle is 30 degrees. The measure of the other part is 3x.
10
20
30
40
Step-by-step explanation:
Right angle=90°
90-30= 3x
3x=60
x=20
Here is a list of numbers:
20 8. 6. 11.3. 1572072.73
State the median
Answer:
20
Step-by-step explanation:
your middle median is 20 in ascending order it is also 20 *im in year 8 my explenation is bad*
1% of what number is 7?
WILL GIVE BRAINIEST TO FASTEST AND CORRECT ANSWER WITH WORK SHOWN!
Answer:
1%=0.07
Step-by-step explanation:
Im going to assume the question says what is 1% of 7.
so 100%=7
divide my 10 to get to 10%
10%=0.7
do the same thing.
1%=0.07
you just go backwards when dividing by 10.
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Answer:
700
Step-by-step explanation:
You want to find x such that ...
1% of x = 7
0.01x = 7 . . . . . . . . . . use math symbols
x = 7/0.01 = 700 . . . . divide by the coefficient of x
1% of 700 is 7.
You earn 28$ for washing 7 cars. How much do you earn for washing 3 cars?
Answer:
$12
Step-by-step explanation:
;)
Answer:
12
Step-by-step explanation:
28 divided by 7 = 4
4 x 3 = 12
What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
A. -1/2
B. 2
C. -2
D. 1/2
Answer:
Option B
Step-by-step explanation:
Use the slope formula.
[tex]\frac{rise}{run}=\frac{-2-2}{-4+2}=\frac{-4}{-2}=\boxed{2}[/tex]
The answer sohuld be B.
Hope this helps.
I need help on this badly please come with good explanation on how to slove problems like this.
Answer:
Step-by-step explanation:
This is a parabola. Because of that, the extreme exists at either the highest point on the graph or at the lowest point on the graph (which is also known as the vertex). This is a positive parabola, so the vertex is a minimum. The coordinates of the vertex are (4, -2.5). The 4 is the x value; therefore, the value of x where the polynomial has an extreme (or extrema) is at x = 4
A submarine was situated 832 feet below sea level. If it descends 289 feet, what is its new position?
It's new position is 1121 feet below sea level.
(In this problem u are descending into a negative value so it made sense for me to add for some reason).
Hope this helps and have a good day.
Also, as proof I included my calculator showing the logic behind it. Sorry for bad Camera quality.
-R3TR0 Z3R0
CAN SOMEONE PLEASE HELP ME!!!!
solve and receive brain list
Answer:
y=2
x=-1
Step-by-step explanation:
2x-4y=-10
-2x-y=0
Add Together and get:
-5y=-10
y=2
put the 2 in for y in either equation to solve for x
2x-4(2)=-10
2x-8=-10
2x=-2
x=-1