Answers
Answer:
Step-by-step explanation:
We need a system of equations to help us solve this. One of the equations in the system is about the number of cultures bought, and the other one is about the money spent on the cultures. They are 2 very different things!
The #'s equation says that the number of cultures (c) plus the number of vials (v) totaled 57. The equation that puts that together is
c + v = 57
Now for the money part. Each culture costs $8, so the expression for that is 8c; each vial costs $1, so the expression for that is 1v; we know the amount of money spent in total was $106. The equation for that is
8c + 1v = 106
There's our system. 2 unknowns need 2 equations. Go back to the first one and solve it for either c or v. I'll solve for c, just because:
c = 57 - v. Now sub that value for c into the money equation:
8(57 - v) + v = 106 and
456 - 8v + v = 106 and
-7v = -350 so
v = 50. There are 50 vials of fruit flies. To find c, plug that into the first equation:
c + 50 = 57 so
c = 7.
Related Questions
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50, 7, point, 50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60
Whats the Inequality
Answers
Answer:
7.50 + 14x < 60
x < 3.75
Step-by-step explanation:
Let
x = number of pizzas ordered
Delivery fee = $7.50
Cost per pizza = $14
Total cost should be less than $60
The inequality
7.50 + 14x < 60
14x < 60 - 7.50
14x < 52.5
x < 52.5/14
x < 3.75
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form.
Answers
Answer:
17/9
Step-by-step explanation:
The scaled figure in the right is larger, thus the scale factor is greater than 1.
Which function is positive for the entire interval [–3, –2]?
On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3).
On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5).
On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5).
On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
Answers
Answer:
B
Step-by-step explanation:
Based on the given information, option 4 seems to be the most likely candidate to be positive for the entire interval [-3, -2]. Correct option is 4.
To determine which function is positive for the entire interval [-3, -2], we need to look for the part of the curve that lies above the x-axis within this interval.
The curve has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0), which means it goes below the x-axis in the interval [-3, -2]. So, this option is not positive for the entire interval.
The curve has a minimum value of (2, -3) and crosses the x-axis at (-1, 0) and (5, 0). Since it crosses the x-axis at -1 which is outside the interval [-3, -2], this option is not positive for the entire interval.
The curve has a minimum value of (2, 4) and a maximum value of (0.5, 6). Since the minimum value is above the x-axis, this option is not positive for the entire interval.
The curve has a minimum value of (-1.75, -3.9) and a maximum value of (0, 2). It also crosses the x-axis at (-2.2, 0), (-0.75, 0), and (0.75, 0). Since the minimum value is above the x-axis, and all the points where it crosses the x-axis are outside the interval [-3, -2], this option could potentially be positive for the entire interval.
To know more about interval:
https://brainly.com/question/34520204
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3. Which of the following is equivalent to
3-3
Answers
Step-by-step explanation:
must be _1/27 in my opinion it's that
Use similar triangles to find the value of x and y
Answers
Answer:
x = 12
y = 9.6
Step-by-step explanation:
Using ratios
5 10
--- = -----
6 x
Using cross products
5x = 6*10
5x = 60
Divide by 5
5x/5 = 60/5
x = 12
5 8
--- = -----
6 y
Using cross products
5y = 6*8
5y = 48
Divide by 5
5y/5 = 48/5
y = 9.6
Answer:
the other guy/ girl is correct!
Step-by-step explanation:
i'm doing practice problems by solving unsolved similarity math problems on brainly. his/her answers is correct!
help me complete it fast pls
Answers
Answer:
AC < AB
Step-by-step explanation:
We can see just by looking at it, they are not the same length.
Find the value of x if necessary you may learn what the marking on a figure indicate
Answers
Answer:
Step-by-step explanation:
Which of the following proves trinagle ABC =~ trinagle DEF? Please help me step-by-step with this please, and if you give just a straight answer with no proof then Ima just assume that you are here answering incorrectly and are just here for the points!!
Answers
Answer:
C. ASA
Step-by-step explanation:
The details of the given parameters are;
Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,
Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF
Side [tex]\overline{BC}[/tex] of ΔABC is congruent to side [tex]\overline {EF}[/tex] of triangle ΔDEF
Two angles (∠B and ∠C) and the included side (side [tex]\overline{BC}[/tex]) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side [tex]\overline {EF}[/tex]) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency
Which function is represented by this graph
Answers
Answer:
B. f(x)= 2x-1
Step-by-step explanation:
The -1 is the y-intercept; 2x is the slope.
Answer quickly please
Answers
Answer:
56
Step-by-step explanation:
please I'm not sure about the answer above but I'll try to solve it and help you later
Not super urgent but need this simplified..
Answers
Answer:
bottom ans , because a⁶+a¹ = a⁷
also (•) this symbols related to x (times/multiply) and x is consider as +
Name the marked angle in 2 different ways.
Answers
1) Angle EGF
2) Angle FGE
A flower shop has 8 bouquets of red lilies, 5 bouquets of pink lies and 7 bouquets of violet lilies. Raymond who is colorblind buys his gf a bouquet of lilies. What is the probability of raymond not picking red lilies
Answers
Answer:
12/20, or 3/5
Step-by-step explanation:
To find the probability of Raymond not picking red lillies, we first must establish the total amount Raymond can choose from as well as the amount of non-red lillies.
The total amount Raymond can choose from is the amount of bouqets. There are 8 red ones, 5 pink ones, and 7 violet ones. This means that there are 8+5+7=20 total bouquets.
The amount of non-red lillies is determined because we are asked to find the probability of selecting a non-red bouquet. We find the number of non-red bouquets by subtracting the total (20) by the number of red bouquets (8) to get 12.
Therefore, the total amount is 20 and the number of non-red bouquets is 12. Thus, if Raymond picks one bouquet, the probability of him selecting a non-red one is 12/20, or 3/5. The probability of him picking up a red bouquet, similarly, would be 8/20, as there are 8 options of red bouquets out of 20 total
Consider the functiony = 3x^5 - 25x^3 + 60x+ 1. Use the first derivative test to decide whether this function has a maximum at x = 1. Which of the following describes what you found?
A. The derivative is positive to the left of x = 1 and positive to the right of x = 1, so the function has neither a relative maximum nor a minimum at x = 1.
B. None of these apply
C. The derivative is negative to the left of x = 1 and positive to the right of x = 1, so the function has a relative minimum at x = 1.
D. The derivative is positive to the left of x = 1 and negative to the right of x = 1, so the function has a relative maximum at x = 1.
E. The derivative is positive to the left of x = 1 and negative to the right of x = 1, so the function has a relative minimum at x = 1.
Answers
Answer:
Option A
Step-by-step explanation:
Expression for the given function is,
y = 3x⁵ - 25x³ + 60x + 1
First derivative of the given function will be,
y' = 15x⁴ - 75x² + 60
For the critical points of the function,
y' = 0
15x⁴ - 75x²+ 60 = 0
x = 1
On the left side of x = 1,
Let x = 0
y' = 15(0)⁴ - 75(0)²+ 60
y = 60 [Positive]
On the right side of x = 1,
Let x = 3
y' = 15x⁴ - 75x²+ 60
y' = 15(3)⁴ - 75(3)² + 60
y' = 1215 - 675 + 60
y' = 600 [Positive]
Since, the derivative is positive on both the sides of x = 1,
Function will have neither maximum neither minimum at x = 1.
Option A is the answer.
A person standing on a second floor balcony drops keys to a friend standing below the balcony. The keys are dropped from a height of 10 feet. The height in feet of the keys as they fall is given by the functionh(t)=−16t2+10, where t is the time in seconds since the keys were dropped.
The friend catches the keys at a height of 4 feet. Find the elapsed time before the keys are caught.
Answers
Answer:
sqrt(3/8) = t
.61237 = t
Step-by-step explanation:
h(t)=−16t^2+10
Let h(t) = 4
4 =−16t^2+10
Subtract 10 from each side
4-10 =−16t^2+10-10
-6 = -16 t^2
Divide by -16
-6/-16 = t^2
3/8 = t^2
Take the square root of each side
sqrt(3/8) = sqrt(t^2)
sqrt(3/8) = t
.61237 = t
We only take the positive since time is not negative
Jasmine bought a 2-liter bottle of soda. How many milliliters of soda were in the bottle?
Answers
A milliliter is 1/1,000 of a liter. This means there is 1,000 milliliters per liter.
2 liters x 1,000 milliliters per liter = 2,000 total milliliters.
Answer: 2,000
solve for x, show work please! 25 points.
Answers
Answer:
C
Step-by-step explanation:
8x + 2 = 7x + 8
<=> 8x - 7x = -2 + 8
<=> x = 6
Answer:
Option CStep-by-step explanation:
Here,
8x + 2 = 7x +8 [Since Alternate interior angle]
=> 8x - 7x = 8 - 2
=> x = 6 (Ans) (Option C)
sin(A+B-C) find the equation
Answers
Answer:
[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]
Step-by-step explanation:
Given:
Sin (A + B - C)
Find;
Expansion of given expression
Computation:
Sin (A + B - C)
Sin [(A + B) - C]
Sin(A + B)CosC - Cos(A + B)SinC
[SInACosB + CosASinB]CosC - [CosACosB - SinASinB]SinC
SInACosBCosC + CosASinBCosC - CosACosBSinC - SinASinBSinC
[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]
Liz and erin are different ages but eat from the same size of bowl. Liz ate 4 servings of cereal. Each serving was 1/3 of a bowl. Erin ate 3 servings of cereal. Each serving was 2/3 of a bowl. Who ate more bowls of cereal?
Answers
1/3+1/3+1/3+1/3= 1and1/3 which is Liz’s amount of cereal and Erin ate 2/3+2/3+2/3=2
So Erin ate 2 bowels of cereal
Given the following equation x2 + 4x = 21 find the solutions. (Show All Work)
15a) Set the equation equal to 0 by inverse operations.
15b) Place the equation in factored form.
15c) Set each factor equal to 0 and solve for x.
I need help asap will give brainlist if answered and work is showed!
Answers
Step-by-step explanation:
15a)
[tex]x^2+4x=21[/tex] Subtract both sides by 21
[tex]x^2+4x-21 =0[/tex]
15b)
7 and -3 multiply to -21 and add to 4
The factors are (x+7)(x-3)
15c)
x+7 =0
x=-7
x-3=0
x=3
which of the following numbers must be added to complete the square in the equation below x^2+16x=5
Answers
Answer:
8
Step-by-step explanation:
I was stumped on this question too so I figured I might as well learn how to do it. All you have to do is divide the middle number (16x) by 2. Pretty easy! Hope this helps anyone who needs it!
You are baking a cake. The recipe asks for \frac{3}{5} 5 3 cup of butter and you want to make \frac{1}{5} 5 1 of the original recipe. How many cups of butter will you need?
Answers
Answer:
3/25 cup of butter
Step-by-step explanation:
You are baking a cake. The recipe asks for 3/5 cup of butter and you want to make 1/5 of the original recipe.
The calculation for the above question is given below:
1 recipe = 3/5 cup of butter
1/5 recipe = x
Cross Multiply
x × 1 recipe = 1/5 recipe × 3/5 cup of butter
x = 1/5 recipe × 3/5 cup of butter /1 recipe
x = 3/25 cup of butter
Therefore, you will need 3/25 cup of butter
On Saturdays, Jorge coaches soccer for 1/12 of the day. He also coaches tennis and swimming, each for the same amount of time as soccer. What fraction of the day does Jorge spend coaching on Saturdays.
Answers
Answer:
3/12 or SIMPLIFIED = 1/4
Step-by-step explanation:
If he spends 1/12 of the day on soccer and he does tennis and swimming for the same amount of time that is just 1/12 +1/12+1/12=3/12 because each 1/12 is for each activity. So you answer (simplified) is 1/4
The mean score was 72. The standard deviation was 7 percentage-points. Based on this information, what is the best
approximation for the number of students who scored 79 or better?
Answers
Answer:
the number of student that took the test is missing
I think it is 100?
79 is 1 sigms (1 standard deviation) above the mean....
1 sd is 84% ... 16% are above the 79
multiply the students that took the test by .16
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 159. i just took the test and got it right
Find the cube root of 512
Answers
Answer:
[tex]\sqrt[3]{512} = 8[/tex]
Step-by-step explanation:
[tex]\sqrt[n]{x} = x^ {\frac{1}{n}}[/tex]
[tex]\sqrt[3]{512} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }\\\\ = \sqrt[3]{2^9} \\\\= (2^9)^{\frac{1}{3}}\\\\ = 2^{ 9 \times \frac{1}{3}} \\\\= 2^3\\\\ = 8[/tex]
50 POINTS TO WHOEVER ANSWERS THIS NOW!!!! IM TIMED HELP.
One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used to study light refraction are a triangular prism with an equilateral triangle for its base and a triangular prism with a right triangle for its base. In this task, you will check whether the measurements found prove the two given prisms are right prisms and whether their bases are equilateral or right triangles.
The prism said to have an equilateral triangle base has the measurements shown.
Part A
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.
The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right triangle base are shown.
What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?
Answers
Answer:
A: The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5 yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
B:they have equal length sides and equal angles. For this to be true, the bases must be squares. Because it is a right prism, the lateral faces are rectangles.
C:If we have following equation right, then the angle between shorter sides is right angle:
13² = 12² + 5²
169 = 144 + 25
169 = 169
D:4*sqrt(2)
E: LSA of a cube = 100 in²
Step-by-step explanation:
Hope this helps
A weatherman predicted 8 inches of snow would fall last night.
Instead, 20 inches of snow actually fell
What is the percent error of the prediction?
Answers
Answer:60%
Step-by-step explanation:
30 Yuri has two plum trees, A and B. in his garden
А
B
Tree A produces 20kg of plums.
Tree B produces 10% more than tree A.
How many kilograms of plums in total does Yuri get from the trees?
Show your working
Answers
Answer:
42kg
Step-by-step explanation:
We are given the amount of plums produced from Tree A. We simply need to find the amount produced by Tree B and add the two numbers up.
Step 1:
Tree B produces 10% more than Tree A, which produces 20kg of plums:
[tex]B=\frac{110}{100} *\frac{20}{1} \\\\B=\frac{110}{5}=\\\\B=22[/tex]
Ok! Tree B produces 22kg of plums. Let us find the total amount of plums Yuri gets from both trees.
Step 2:
[tex]Total=A+B\\\\Total=20+22\\\\Total=42[/tex]
Yuri gets 42 kg of plums from the trees.
I hope this helps! Let me know if you have any questions :)
The potential solutions to the radical equation are a = −4 and a = −1. Which statement is true about these solutions? The solution a = −4 is an extraneous solution. The solution a = −1 is an extraneous solution. Both a = −4 and a = −1 are true solutions. Neither a = −4 nor a = −1 are true solutions.
Answers
Answer:
Both a = −4 and a = −1 are true solutions
Step-by-step explanation:
Given
[tex]\sqrt{a + 5} = a + 3[/tex]
[tex]a = -4; a = -1[/tex]
Required
The true statement about the solutions
We have:
[tex]\sqrt{a + 5} = a + 3[/tex]
Square both sides
[tex]a + 5 = (a + 3)^2[/tex]
[tex]a + 5 =a^2 + 6a + 9[/tex]
Collect like terms
[tex]a^2 + 6a - a + 9 - 5 = 0[/tex]
[tex]a^2 + 5a + 4 = 0[/tex]
Expand
[tex]a^2 + 4a + a + 4 = 0[/tex]
Factorize
[tex]a(a + 4) + 1(a + 4) = 0[/tex]
Factor out a + 4
[tex](a + 1)(a + 4) = 0[/tex]
Split:
[tex]a + 1 = 0; a + 4 = 0[/tex]
Solve:
[tex]a =-1; a = -4[/tex]
Answer:
C on 3dge
Step-by-step explanation:
Both a = −4 and a = −1 are true solutions
Answers all questions correctly and show all work
1 . J + -2 = -22
2 . b - 19 = -11
3 . Y/7 = - 7
4 . -10 = -2y
Answers
Answer:
J = - 20
b = 8
Y = - 49
y = 5
Step-by-step explanation:
j + - 2 = - 22
j - 2 + 2 = - 22 + 2
j = - 20
------------------------------
b - 19 = - 11
b - 19 + 19 = - 11 + 19
b = 8
---------------------------------
y ÷ 7 = - 7
y ÷ 7 × 7 = - 7 × 7
y = - 49
------------------------------
- 10 = - 2y
- 2y = - 10
- 2y ÷ - 2 = - 10 ÷ - 2
y = 5