Answer:
one box of crackers costs $0.70
Step-by-step explanation:
Let $x be the price of 1 container of yogurt and $y be the price of 1 box of crackers.
1. Man can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. 4 containers of yogurt cost $4x and 3 boxes of crackers cost $3y. In total,
[tex]3x+4y=9.55.[/tex]
2. Man can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. 2 containers of yogurt cost $2x and 2 boxes of crackers cost $2y. In total,
[tex]2x+2y=5.90.[/tex]
3. Solve the system of two equations:
[tex]\left\{\begin{array}{l}3x+4y=9.55\\2x+2y=5.90\end{array}\right.[/tex]
Multiply the second equation by 2 and subtract it from the first equation:
[tex]3x+4y-2(2x+2y)=9.55-5.90\cdot 2,\\ \\3x+4y-4x-4y=9.55-11.80,\\ \\-x=-2.25,\\ \\x=\$2.25.[/tex]
Then
[tex]2\cdot 2.25+2y=5.90,\\ \\2y=5.90-4.50,\\ \\2y=1.40,\\ \\y=\$0.70[/tex]
By setting up a system of equations and using elimination, we find that one box of crackers costs $2.25.
To solve the cost of one box of crackers, we need to set up two equations based on the information given:
4y + 3c = $9.552y + 2c = $5.90We use 'y' to represent the cost of one container of yogurt and 'c' for the cost of one box of crackers. To find the value of 'c', we can use substitution or elimination.
Let's eliminate 'y' by multiplying the second equation by 2, which gives us 4y + 4c = $11.80. Subtracting the first equation from this, we get:
c = $11.80 - $9.55
c = $2.25
So, one box of crackers costs $2.25.
What is the remainder when (4x3 + 2x2 − 18x + 38) ÷ (x + 3)?
A2
B96
C12
D110
Answer: A
Step-by-step explanation: I use synthetic division for problems like these:
-3 | 4 2 -18 38
4 -10 12 2
Since -3 + 3 = 0, we use -3 in this process. Write out the coefficients in order separate from -3. Next, bring down the 4 and multiply -3 by 4 = -12. Add 2 and -12 = -10. Multiply -10 by -3 = 30. Add 30 to -18 to get 12. Multiply 12 and -3 = -36. Add -36 and 38 = 2
Answer:
A) 2
Step-by-step explanation:
correct answer on my test
The library is 5 miles from the post office. How many yards is 5 miles?
Answer:
8800 yards.
Step-by-step explanation:
To convert miles to yards, you must multiply the amount of miles by 1760.
Because there are 5 miles, multiply 5 by 1760.
[tex]5(1760)=8800[/tex]
Answer:
Step-by-step explanation:To figure this out you must first put the equation up.1760 yards are in a mile so you can do 1760*5=y Just multiply 1760 to 5 which should give you 8800.Hope this helps!!!!!!!Please mark brainliest!!!!!
The Science Club went on a two-day field trip. The first day the members paid $60 for transportation plus $12 per ticket to the planetarium. The second day they paid $95 for transportation plus $9 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
PLEASE HELP!!!
Sam (4, 2) Theater (-3, 5)
Describe Sam's location relative to the theater.
Answer:
The theater is approximately 3.16 units from Sam's location.
Step-by-step explanation:
The distance between points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is given by:
[tex]d=\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }[/tex]
So, the distance of the theater from Sam's location is:
[tex]d=\sqrt{(-3-(-4) )^{2}+(5-2 )^{2} }[/tex]
[tex]=\sqrt{1^{2}+3^{2} }[/tex]
[tex]=\sqrt{10}[/tex]
= 3.16 approximately
Hence, the theater is approximately 3.16 units from Sam's location.
Laverne earns $560 a week and she works 5 days a week. What is her daily wage
Answer: 112
112 dollars because 560 divided by 5 equals 112
Answer:
$112
Step-by-step explanation:
You are going to take your total and divide that by how many it is to get the single one your looking for if that makes sense..
560(total)/5(how many)=$112
Hope that helps feel free to ask more questions
Brainliest??
20 Points on the line here!
Deena works at a customer service call center. She fields an average of 7 calls per hour. Employees are encouraged to field more than 280 calls per week. Deena has already fielded 126 calls this week.
How many more hours, x, does Deena need to work this week to reach the weekly goal of fielded calls if she continutes to field an average of 7 calls per hour? Select the inequality that includes the fewest number of hours Deena can work this week and still reach the weekly goal.
A.
x > 40
B.
x > 29
C.
x > 22
D.
x > 2
Answer:
C.
x > 22
Step-by-step explanation:
Deena has already taken 126 calls
She takes 7 calls per hour ( think slope)
y = mx+b
y = 7x+126
She needs to take at least 280 calls. So what she does must be greater than 280
280 <7x+126
We need to isolate x. The first step is to subtract 126 from each side
280-126 < 7x + 126 -126
154 < 7x
Next, we divide by 7 on each side
154/7 < 7x/7
22 < x
Ralph deposited $910 in an account that pays 5.2% simple interest for 3 1/2 years What is his ending balance
Answer:
$165.62
Step-by-step explanation:
Multiply principle(910) by rate (0.052) and time (3.5)= interest(165.62)
Answer:
His ending balance is $1075.62
Step-by-step explanation:
To solve this question, we will simply use this formula;
Simple Interest = P × R × T / 100
where p is the principal amount
R is the rate and T is the time
From the above question, principal p=$910 Rate r=5.2 and Time t = 3 1/2
We first change 3 1/2 from mixed number to either improper fraction or decimal fraction ;
3 1/2 = 7/2 = 3.5
We can now go ahead and substitute all our variables in the formula;
Simple Interest = P × R × T / 100
= $910 × 5.2 × 3.5 / 100
= $ 16562 / 100
=$165.62
Simple interest is $165.62
But what we are ask to look for is the ending balance, to get the ending balance, jut add the principal and the interest altogether;
Ending balance = $910 + $165.62
Ending balance = $1075.62
A bank account earns 2.5% interest per year. If the account starts with $500, approximately how many years will it take for the value of the account to be $750?
Answer:
Step-by-step explanation: What you need to do is add if it has 2.5% interest per year. And t starts with 500 you could do 2.5 + 500 tell you get to 750 . Hope this helps
To find out how long it will take for a bank account with an initial balance of $500 and an annual interest rate of 2.5% to reach a balance of $750, we use the time formula for simple interest. Substituting the relevant amounts into the formula, it will take approximately 20 years for the account to reach $750.
Explanation:This problem pertains to simple interest in finance. The formula for simple interest is I = PRT, where I is the interest, P is the principal amount (the initial amount), R is the annual interest rate in decimal form, and T is the time in years. However, in this case, we want to find the time (T), so we will use the formula T = I / (PR).
In your case, the initial amount or principal (P) is $500, the interest (I) is the difference between the final amount and the initial amount ($750 - $500 = $250), and the interest rate (R) is 2.5% or 0.025 in decimal form.
Substituting these values into the formula, we will have T = $250 / ($500 * 0.025). Calculating this, we get approximately 20 years for the value of the account to be $750.
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What is the equation of the line graphed below?
A. y=mx
B. y=m(x+1)
C. y=mx+b
D. y=m/x+1
The maximum speed an animal can walk in feet per second is a 5.7VI, where l is the animal's leg length in feet. What is the maximum walking speed for a camel with a leg length of 5.7 feet?
Answer:
Maximum walking speed of camel is 31.749V feet per second
Step-by-step explanation:
Walking speed of an animal is given by :
Speed = 5.7VI (in feet per second) where l is the animal's leg length.
For a camel, leg length is 5.7feet.
So maximum walking speed of camel will be:
Speed of camel = 5.7V * 5.7 = 5.7² V feet per second
Speed of camel = 31.749V feet per second
hence, maximum walking speed of camel is 31.749V feet per second
The maximum walking speed for a camel with a leg length of 5.7 feet is calculated using the formula 5.7 x / (leg length) and is approximately 13.5945 feet per second.
The question asks us to calculate the maximum walking speed of a camel with a leg length of 5.7 feet using the formula provided, which is maximum speed = 5.7 x /(leg length). To find the camel's speed, we simply plug the leg length into the formula:
Maximum speed = 5.7 x / 5.7 = 5.7 x 2.385 = 13.5945 feet per second.
Thus, the maximum walking speed for a camel with a leg length of 5.7 feet is approximately 13.5945 feet per second.
−7x+1≥22 OR −10x+41≥81
[tex]-7x+1\geq22\qquad\text{subtract 1 from both sides}\\\\-7x\geq21\qquad\text{change the signs}\\\\7x\leq-21\qquad\text{divide both sides by 7}\\\\x\leq-3\\-----------\\-10x+41\geq81\qquad\text{subtract 41 from both sides}\\\\-10x\geq40\qquad\text{change the signs}\\\\10x\leq-40\qquad\text{divide both sides by 10}\\\\x\leq-4\\------------\\\\x\leq-3\ or\ x\leq-4\ therefore\ x\leq-3[/tex]
Answer:
[tex]x\leq -3[/tex]
Step-by-step explanation:
We have been given a compound inequality. We are supposed to solve our given inequality.
[tex]-7x+1\geq 22\text{ or }-10x+41\geq 81[/tex]
First of all, we will solve both of our given inequalities separately, then we will combine the solution of both inequalities.
[tex]-7x+1-1\geq 22-1[/tex]
[tex]-7x\geq 21[/tex]
we know dividing or multiplying inequality by a negative number flips inequality.
[tex]\frac{-7x}{-7}\leq \frac{21}{-7}[/tex]
[tex]x\leq -3[/tex]
[tex]-10x+41\geq 81[/tex]
[tex]-10x+41-41\geq 81-41[/tex]
[tex]-10x\geq 40[/tex]
[tex]\frac{-10x}{-10}\leq \frac{40}{-10}[/tex]
[tex]x\leq -4[/tex]
Upon merging overlapping intervals, the solution for our given inequality would be [tex]x\leq -3[/tex].
8 out of the 20 students at a school assembly were first-grade students. What percentage of the students at the assembly were first-graders? Write your answer using a percent sign (%)
Answer:
40%
Step-by-step explanation:
Take 8 and divide it by 20 to get the percent.
Answer:
40%
Step-by-step explanation:
To find this, the method I personally like to use is the is over of equals percent over 100.
Your ratio should look like this:
[tex]\frac{8}{20}[/tex] = [tex]\frac{x}{100}[/tex]
Then I cross multiplied; 8 x 100 divide that product by 20.
Hope this helps!
Select the correct answer.
Georgina’s bank account has a current balance of -$25.50. If she deposits $120 into the account each month, how much money will she have in the account after 4 months?
A. -$480
B. $454.50
C. $480
D. $505.50
Answer:
B) 454.50
Step-by-step explanation:
-25.50 + 480.00 = 454.50
Answer:
454.50
Step-by-step explanation:
Help will mark brainiest!
Answer:
Sry Im guessing. You divide the actual length of pole by the shadow then multiply it to shadow of the tower...
Step-by-step explanation:
Hope it helps
n triangle ABC, m∠BAC = 50°. If m∠ACB = 30°, then the triangle is triangle. If m∠ABC = 40°, then the triangle is triangle. If triangle ABC is isosceles, and AB = 6 and BC = 4, then AC =
Answer:
AB
Step-by-step explanation:
the shape is in the wrong place
A regular triangle has a perimeter of 51 m. How long is each side?
Please help me
A regular or equilateral triangle has all sides of equal length. The length of each side can be found by dividing the total perimeter by the number of sides. Hence, each side of the triangle is 17 meters long.
Explanation:The question is asking about the sides of a regular triangle, which is another name for an equilateral triangle. In an equilateral triangle, all sides are of equal length. The perimeter of a triangle (or any polygon) is just the sum of the lengths of all its sides. So, if the perimeter of the regular triangle is 51m, that means the total length of all three sides is 51m. Since all three sides are of equal length, we can find the length of each individual side by dividing the total perimeter by the number of sides. In this case, 51m divided by 3 sides equals 17m. Therefore, each side of the regular triangle is 17 meters long.
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A student earns a 98 on a test for answering 1 question incorrectly and earns a 94 for answering three questions incorrectly.
What is the slope
Hint: Its negative
Answer:
I believe it is -2
Step-by-step explanation:
(-6,3)(8,-1) what is the slope
The formula of a slope m:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-6, 3) and (8, -1). Substitute:
[tex]m=\dfrac{-1-3}{8-(-6)}=\dfrac{-4}{8+6}=\dfrac{-4}{14}=-\dfrac{2}{7}[/tex]
Hi there!
Step-by-step explanation:
[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{Rise}{Run}[/tex]
[tex]\frac{(-1)-3}{8-(-6)}=\frac{-1-3}{8+6}=\frac{-4}{14}=\frac{-4/2}{14/2}=\frac{-2}{7}=-\frac{2}{7}[/tex]
Slope is -2/7.
Final answer is -2/7.
Hope this helps!
Have a nice day! :)
:D
-Charlie
Thank you so much! :)
:D
A zookeeper predicted that the weight of a newborn lion would be 2.8 pounds. when the zoo's lion gave birth, the newborn weighed 3.5 pounds. what is the zookeepers's percent error?
Answer:
20%
Step-by-step explanation:2.8-3.5 then divide that by 3.5 and multiple the answer by 100 to get the percent
Answer: 20%
Step-by-step explanation:
According to the zookeeper ,
The predicted weight of the newborn lion = 2.8 pounds
The actual weight of the newborn lion = 3.5 pounds
Now , the zookeepers's percent error = [tex]\dfrac{|Predicted-actual|}{actual}\times100[/tex]
[tex]=\dfrac{|2.8-3.5|}{3.5}\times100\%\\\\=\dfrac{|-0.7|}{3.5}\times100\%\\\\=\dfrac{0.7}{3.5}\times100\%\\\\=\dfrac{100}{5}\%=20\%[/tex]
Hence, the zookeepers's percent error = 20%.
What is the measure of AC?
Answer: B. [tex]150^{\circ}[/tex]
Step-by-step explanation:
From the given picture, we can see a circle with two perpendicularly intersecting chords .
The measure internal angle made by intersecting of chords : [tex]90^{\circ}[/tex]
The measure of minor arc : [tex]30^{\circ}[/tex]
The formula to find the internal angle is given by :-
[tex]\theta=\dfrac{\text{Minor arc + major arc}}{2}[/tex]
Let x be the Major arc AC, the we have the following equation:-
[tex]90^{\circ}=\dfrac{30^{\circ}\text{ + x}}{2}\\\\\Rightarrow\ 30^{\circ}+x=180^{\circ}\\\\\Rightarrow\ x=180^{\circ}-30^{\circ}\\\\\Rightarrow\ x=150^{\circ}[/tex]
Hence, the measure of [tex]\overarc{AC}=150^{\circ}[/tex]
The measure of the major arc AC is 150°.
In the given picture, a circle with two perpendicularly intersecting chords is shown. The angle formed by the intersection of the chords is labeled as 90°. Additionally, the minor arc formed by these chords has a measure of 30°.
To find the measure of the major arc, we use the formula: θ = (minor arc + major arc) / 2.
Let x represent the measure of the major arc AC.
The formula can be set up as follows: 90° = (30° + x) / 2.
Solving for x, we first multiply both sides by 2 to eliminate the fraction: 180° = 30° + x.
Next, we isolate x by subtracting 30° from both sides:
x = 180° - 30°.
Simplifying further, we get x = 150°.
Therefore, the measure of the major arc AC is 150°. This calculation ensures that the angle formed by the intersecting chords is indeed 90°, and the given information about the minor arc aligns with the solution.
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Can I have some help finding this answer please
Answer:
The hypotenuse of this is 6
Step-by-step explanation:
Answer:
hypotenuse = 6
Step-by-step explanation:
For a right triangle, we know that sin (theta) = opposite / hypotenuse
sin 45 = 3 sqrt(2)/ hypotenuse
Multiply both side by hypotenuse
hypotenuse * sin 45 = 3 sqrt(2)
Divide by sin 45 on both sides
hypotenuse * sin 45/ sin 45 = 3 sqrt(2)/sin 45
hypotenuse = 3 sqrt(2)/sin 45
hypotenuse = 6
Angeline bought s yards of satin fabric priced at $8.09 per yard, and c yards of cotton fabric priced at $3.79 per yard. What expression could you use to determine the total cost of the fabric? If she bought 5 yards of satin fabric and 8 yards of cotton fabric, how much did Angeline spend in all?
Answer:
70.77
Step-by-step explanation:
Hope this helps
For a certain experiment, if we expect to get an apple 8 times in 200 trials, what is the theoretical probability of getting an apple?
Answers:
A) 1/50
B) 1/30
C) 1/25
D) 1/100
Four less than the quotient of a number x and 5.
X divided by 5 minus 4 =
The number . . . . . x
The quotient of the number and 5 . . . x/5
Four less than that . . . . . (x/5) - 4
Jenni buys a piece of fabric that is 4 7/8 yards long.What is the decimal equivalent of 4 7/8?
Answer: 4.875
Step-by-step explanation:
Starting fraction: 4 7/8
Make it mixed: 39/8
Now divide top by bottom: 4.875
A circle has a circumference of 28.26 units. What is the diameter of the circle?
Answer:
The diameter of the circle is 9.
Step-by-step explanation:
Because circumference is equal to [tex]\pi[/tex] * d, we can backtrack and use this equation to find diameter. Let's say [tex]\pi[/tex] is equal to 3.14.
28.26 = 3.14d
Divide both sides by 3.14.
9 = d
The diameter of the circle is 9.
To find the diameter of a circle with a circumference of 28.26 units, the formula D = C / π is used, yielding a diameter of approximately 9 units.
Explanation:The student's question pertains to finding the diameter of a circle when the circumference is given. The circumference (C) of a circle is related to the diameter (D) by the formula C = πD, where π (pi) is approximately 3.14159. Given that the circumference of the circle is 28.26 units, we can solve for the diameter by rearranging the formula to D = C / π.
Substituting the given circumference into the formula gives us:
D = 28.26 units / 3.14159
When we do this calculation, we find that the diameter is approximately 9 units. Therefore, the diameter of the circle is approximately 9 units.
Write the pair of fractions as a pair of fractions with a common denominator 3/10 and 2/5
Answer:
2/10 = 3/10, 2/5 = 4/10
For the given fractions, the pair of fractions are 6/20 and 4/10 ; 9/30 and 6/15 and this can be determined by using the arithmetic operations.
Given :
Fractions - 3/10 and 2/5
The following steps can be used to determine the pair of fractions:
Step 1 - Multiply 2 in the numerator and denominator in the given fractions.
[tex]\dfrac{3\times 2}{10\times 2}=\dfrac{6}{20}[/tex] and [tex]\dfrac{2\times 2}{5\times 2}=\dfrac{4}{10}[/tex]
Step 2 - Multiply 3 in the numerator and denominator in the given fractions.
[tex]\dfrac{3\times 3}{10\times 3}=\dfrac{9}{30}[/tex] and [tex]\dfrac{2\times 3}{5\times 3}=\dfrac{6}{15}[/tex]
In this way pair of fractions can be determined.
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krystal wanted to make note cards by cutting pieces of paper in half. Before starting she got seven more pieces to use. When she was done she had 28 half pieces of paper. With how many did she start?
Simplify using the distributive property, Show all work (-2x - 9)(-4).
What are the actual dimensions of a television that has a 15:9 aspect ratio and a screen that is 42 inches?
Answer:
Let x be the number.
It is given that a 15 : 9 aspect ratio and a screen that is 42 inches.
Aspect ratio states that the ratio of the display image’s width to its height.
Then;
Width of the television of(w) = 15x
and height of the television(h) = 9x.
Since, television is in the form of Rectangle.
And it is also, given that the screen is 42 inches .
⇒Diagonal of the television(D) = 42 inches
Using formula of diagonal of the rectangle :
[tex]D^2 =w^2+h^2[/tex]
Substitute the given values to solve for x;
[tex]42^2 = (15x)^2+(9x)^2[/tex]
[tex]1764 = 225x^2 + 81x^2 = 306x^2[/tex]
or
[tex]x^2 = \frac{1764}{306} = 5.76[/tex]
[tex]x = \sqrt{5.76} = 2.4[/tex]
Then:
width of the television (15x) = 15(2.4) = 36 inches and
Height of the television (9x) = 9(2.4) = 21.6 inches.
Therefore, the actual dimensions of the television are;
width = 36 inches and height = 21.6 inches.