Answer:
55
Step-by-step explanation:
find how much it costs to buy 45 certificates, subtract that from the original budget then divide that by 6.25 and remove the decimals
Answer:
He can buy up to 55 care packages
Step-by-step explanation:
c = certificates
p = packages
6.25p + 4.50c ≤ 550
c = 45
6.25p + 4.50(45) ≤ 550
6.25p + 202.50 ≤ 550
Subtract 202.50 from each side
6.25p + 202.50 -202.50 ≤ 550-202.50
6.25p ≤ 347.50
Divide each side by 6.25
6.25p/6.25 ≤ 347.50/6.25
p ≤ 55.6
Since we cannot buy part of a care package
p ≤55
which equation would be the easiest to solve first by using the substitution method? EXPLAIN WHY
equation 1: 3x+5y= -8
equation 2: x- 2y=1
Answer:
Equation 2: x - 2y = 1
Step-by-step explanation:
The equations easiest to use substitution are the ones that have the variable multiplied by one, as in the case of Eq. 2 where x is 1x, so if you substitute a zero for x, we know that y has to be -1/2 for the equation to be true. Furthermore, if you substitute a 0 for y you automatically know that x = 1.
If you try to substitute anything for x in equation 1, let's say x = 1, you still have to multipy by 3, then the rest of the problem would be more steps.
Nima can mow 18 yards in 6 days. Which strategy can be used to determine how many yards Nima can mow in 20
days?
Add the difference in the days to the number of yards.
O Subtract the difference in the days from the number of yards.
O Find the number of yards per day by division, and then multiply that quotient by the number of days.
O Find the number of yards per day by division, and then divide that quotient by the number of days.
The strategy that can be used to determine how many yards Nima can mow in 20 days is C. Find the number of yards per day by division, and then multiply that quotient by the number of days.
How to illustrate the expression?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. in this case, it is vital to note that they have at least two terms which have to be related by through an operator.
It's important to find the number of yards per day by division, and then multiply that quotient by the number of days. The correct option is C.
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help me quickly please!!! what is the area of the composite figure if line AB is congruent to line BC which is congruent to line CD which is congruent to line DA which is congruent to DN?
(2pi+28)mm^2
(2pi+32)mm^2
(2pi+40)mm^2
(2pi+48)mm^2
======================================================
Work Shown:
Segments AB, BC, CD, DA, and DN are all the same length (4 units)
The semicircle has area of
A = (1/2)*pi*(radius)^2
A = 0.5*pi*2^2
A = 2pi
The square has area of
B = (side length)^2
B = 4^2
B = 16
The trapezoid has area of
C = (height)*(base1+base2)/2
C = (DN)*(CD+MK)/2
C = (4)*(4+8)/2
C = 24
Add up the results of A, B and C to get the total area
A+B+C = 2pi+16+24 = 2pi+40
The total area is 2pi+40 square mm
The area of the figure will be 2π + 40 mm². Then the correct option is C.
What is the area?The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
The figure is made by semicircle, square, and trapezium. Then the area is given as,
A = Area of a semicircle + Area of square + Area of trapezium
A = (π / 2) x r² + (AB)² + 1/2 x (CD + MK) x DN
A = (π / 2) x 2² + (2 x 2)² + 1/2 x (4 + 8) x 4
A = 2π + 16 + 24
A = 2π + 40 mm²
The area of the figure will be 2π + 40 mm². Then the correct option is C.
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Factor to write an equivalent expression
36a - 16
Answer:
4(9a-4)
Step-by-step explanation:
36a - 16
We can factor 4 from each expression.
4*9a - 4*4
4(9a-4)
a fraction has a denominator of 20. the numerator has the value of “x less than the denominator” if the fraction is equivalent to 1/4, what i’d the value of x?
Answer:
First what you want to do is find what fraction is equal to 1/4 and has a denominator of 20.
The way you can find this is by taking 1/4 and seeing how many times the denominator or 4 will go into 20.
4 * 5 = 20
Since 4 times 5 is 20, we will multiply 5 to the numerator of the fraction to.
1 * 5 = 5
So 5/20 is = to 1/4
x = 5
Now the question says, " x less thsn the denominator" so we just need to find how much less is 5 compared to 20.
20 - 5 = 15
The numerator has a value, "15 less than the denominator."
Step-by-step explanation:
Hope this helps! =D
Choose the option(s) that correctly complete each statement.
If two___ intersect, then their intersection is a ____
Space contains at least ____ points not all in one ____
Through any ____ different points, exactly one ____ exists.
Through any _____ points that are not on one line, exactly one ____ exists.
1. if two planes intersect, then their intersection is a line
2. Space contains at least four points not all on one plane.
3. Through any two different points, exactly one line exists
i dont under stand number 4 but ur welcome
Proving Two Triangles Are Congruent: What additional is needed to prove that ABC = DBF using the SAS congruence theorem?
Answer:
the answer is the side length of ab and db
Answer: D on edge
Step-by-step explanation:
I NEED SERIOUS HELP I WILL MARK BRAINLIEST IF U DO THE PAGE FOR ME PLZ HELP ITS DUE IN AN HOUR
Answer:
The rest are kinetic
Step-by-step explanation:
Potential: Standing at top of slide.
JUICE IN ORANGE
UNBURNED COAL
BATTERY
FROG SITTING
BOOK ON HIGH SHELF
PARKED CAR
the survival rate of patients with a tumor using an existing medication is known to be 40%. a pharmaceutical company claims that the survival rate of a new drug is higher. the new drug is given to 20 patients to test for this claim. let be the number of cures out of the 20 patients. suppose the rejection region is determine the type of error that can occur when the true survival rate is 50%.
The rejection region is not given in the question, so we cannot determine the type of error that can occur when the true survival rate is 50%.
However, we can calculate the probability of making a Type I error (rejecting the null hypothesis when it is actually true) and a Type II error (failing to reject the null hypothesis when it is actually false) for a given rejection region.
Assuming a significance level of 0.05, the rejection region for a one-tailed test of whether the true survival rate is greater than 40% is with 19 degrees of freedom.
If the true survival rate is actually 50%, the probability of making a Type I error (rejecting the null hypothesis that the true survival rate is 40%) is 0.05, which is the significance level.
The probability of making a Type II error (failing to reject the null hypothesis that the true survival rate is 40% when it is actually 50%) depends on the true survival rate and the sample size. A larger sample size would decrease the probability of making a Type II error.
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PLEASE HELP ME ASAP PLEASE.
Answer:
See below
Step-by-step explanation:
g (h(6)) :
h (6) = 3 ( 6^2) + 2 = 110
then g (110) = sqrt (110)
h (g(5))
g(5) = sqrt 5
then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17
Can anyone give me the answer for this one
a²(b²-c²)+b²(c²-a²)+c²(a²-b²) Simplify it
Answer:
After Multiplying them.
we get 0 as an answer.
the solution a+b>-9 is a >-15. What is the value of b
PLEASEEEEE HELP PLEASEEE
Answer:
b>6
Step-by-step explanation:
right cone has a base with diameter 16 units.
me volume of the cone is 320 cubic units.
What is the length of a segment drawn from the apex to the edge of the circular base?
Answer:
The length of the segment is 8 units.
We can use the formula for the volume of a cone to calculate the height of the cone:
V = (1/3)πr^2h
320 = (1/3)π(8^2)h
h = 320/(1/3)(π)(64)
h = 8 units
Suppose we are given the following information.
Line 1 passes through (0, 6) and (6, 4).
Line 2 passes through (-1, -7) and (1, -1).
Are these lines parallel, perpendicular, or neither?
Group of answer choices
Since the product of the slope is -1, hence the lines are perpendicular
Parallel and Perpendicular linesTwo lines are known to be parallel if they have the same slope while if two lines are perpendicular if the product of the slope is -1
Given the coordinates of line 1 passing through (0, 6) and (6, 4), the slope is given as;
Slope = 4-6/6-0
Slope = -2/6
Slope = -1/3
Similarly for the coordinate points (-1, -7) and (1, -1).
Slope = -1+7/1+1
Slope of line 2 = 6/2
Slope = 3
Take the product of the slopes
Slope = -1/3 * 3
slope = -1
Since the product of the slope is -1, hence the lines are perpendicular
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Maureen runs a delivery only restaurant that sells vegan cupcakes. The rent for her cupcake stand is $175 per month. If she makes a profit of $4 per cupcake, how many would she need to sell to break even?
find the factors of 175
which are 1, 5, 7, 25, 35, 175
including the profit of $4
if the cupcakes are $5 then 35 need to be sold to break even
if the cupcakes are $7 then 25
if $25 then 7
if $35 then 5
if $175 then 1
0 is greater than or equal to w and -5 is less than w
Answer: the answer would be 5 because it said 0 is -5 less than w
Simplify: -4+2x+4x-2
A 6x-6
В О
C -2x+2
D -2x-6
The expression after simplification is 6x - 6.
What are Expressions?An expression in math is a statement with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
The given expression is -4 + 2x + 4x - 2.
\(\sf 2x+4x-4-2\)
\(\sf 6x-4-2\)
\(\bold{6x-6}\)
Hence, the simplification of the expression -4 + 2x + 4x - 2 is 6x - 6.
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Which expression is NOT equivalent to 24+12?
3(8+9)
4(6+2)4(6+2)
4(6+12)4(6+12)
4(6+3)4(6+3)
Intenciones didácticas: Que los alumnos obtengan la regla general de una sucesión de números con signo de la forma - an + b Consigna N° 10 Obtener la regla general que corresponde a las siguientes sucesiones. a) 0, -2, -4, -6, -8,... b) +1, -1, -3, -5, -7,..
Answer:
a) La regla general de sucesión de esta lista es: \(a_{i} = -2\cdot i\), \(i\in \mathbb{N}_{O}\).
b) La regla general de sucesión de esta lista es: \(a_{i} = -2\cdot i +1\), \(i\in \mathbb{N}_{O}\).
Step-by-step explanation:
Debemos recordar que toda sucesión natural es un conjunto discreto al estar conformado por números enteros no negativos, cuyos elementos observan una función de la forma:
\(a_{i} = a\cdot i + b\), \(i\in \mathbb{N}_{o}\) (Eq. 1)
Donde:
\(a_{i}\) - i-ésimo elemento de la sucesión, adimensional.
\(a\) - Tasa de incremento entre dos elementos consecutivos, adimensional.
\(b\) - Valor del elemento inicial de la sucesión (i = 0), adimensional.
Para la tasa de incremento se cumple que:
\(a = a_{i+1}-a_{i}\), \(i \in \mathbb{N}_{O}\) (Eq. 2)
Ahora, procedemos a deducir la regla general de sucesión de cada lista:
a) 0, -2, -4, -6, -8,...
El valor del elemento inicial de la sucesión es:
\(b = 0\)
La tasa de incremento es:
\(a = -2 - 0\)
\(a = -2\)
La regla general de sucesión de esta lista es: \(a_{i} = -2\cdot i\), \(i\in \mathbb{N}_{O}\).
b) +1, -1, -3,-5, -7,...
El valor del elemento inicial de la sucesión es:
\(b = 1\)
La tasa de incremento es:
\(a = -1-1\)
\(a = -2\)
La regla general de sucesión de esta lista es: \(a_{i} = -2\cdot i +1\), \(i\in \mathbb{N}_{O}\).
18 Which expression uses the greatest common factor and distributive property to write 18 + 24 as a product? Circle the letter of the correct answer.
The expression that uses the greatest common factor and distributive property to write the given expression, 18 + 24, is 6(3 + 4)
Writing an expression using the Greatest common factor and distributive propertyFrom the question, we are to determine the expression that uses the greatest common factor and the distributive property to write the given expression.
The given expression is
18 + 24
First, we will determine the greatest common factor of 18 and 24
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3
Thus,
The greatest common factor is 2 × 3 = 6
Now, we will write the expression using the greatest common factor and the distributive property
18 + 24
6(3 + 4)
Hence, the expression is 6(3 + 4)
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Put a lid on it! The supplier is considering two changes to reduce to 1% the
percentage of its large-cup lids that are too small. One strategy is to adjust the
mean diameter of its lids. Another option is to alter the production process,
thereby decreasing the standard deviation of the lid diameters,
a. If the standard deviation remains at o = 0.02 inch, at what value should the
supplier set the mean diameter of its large-cup lids so that only 1% are too
small to fit?
b. If the mean diameter stays at = 3.98 inches, what value of the standard
deviation will result in only 1% of lids that are too small to fit?
c. Which of the two options in parts (a) and (b) do you think is preferable? Justify
your answer. (Be sure to consider the effect of these changes on the percent of
lids that are too large to fit.)
Answer:
A) 3.996 inches
B) 0.01
C) option B
Step-by-step explanation:
Note: The diameter of the lid is between : 3.95 and 4.05
A) calculate the supplier set mean diameter
std = 0.02 inch
P( x < 3.95 ) = 1% = 0.01
= P ( Z < \((\frac{3.95 - u }{0.02})\) ) = P ( Z < -2.3263 ) = 0.01
therefore :
\((\frac{3.95 - u }{0.02})\) = -2.3263
hence : u = 3.996 inches ( mean diameter )
B) At mean diameter = 3.98 calculate the value of std
P ( X < 3.95 ) = 0.01
= P ( Z < \(( \frac{3.95-3.98 }{std } )\) ) = P ( Z < -2.3263 ) = 0.01
therefore
\(( \frac{3.95-3.98 }{std } )\) = -2.3263
hence std = 0.01 inch
C) option B is preferable because its mean diameter is smaller and the percent of lids too large to fit is considered more carefully using option B
help me plzzzzzzzzzzzzz
Answer:
x = 49
Step-by-step explanation:
49 divided by -7 equals -7
What is 172cm in feet ?
172 cm is approximately 5 feet and 7.72 inches.
To convert from cm to feet and inches, you can use the conversion factor 1 cm = 0.393701 inches. To convert 172 cm to inches, you would multiply 172 by 0.393701, which gives you 67.716566 inches.
Then, you can divide the total number of inches by 12 to get the number of feet, which in this case is 5.6430472 feet. Finally, you can subtract the number of feet from the total number of inches to get the remaining inches, which in this case is 7.716566 inches.
Therefore, 172 cm is equivalent to 5 feet and 7.72 inches.
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3) Calculate the area of this trapezium
D
A
11 cm
¹9 cm
19 cm
B
10 cm
C
Answer:
A = 135 cm²
Step-by-step explanation:
the area (A) of a trapezium is calculated as
A = \(\frac{1}{2}\) h (b₁ + b₂ )
where h is the perpendicular height between the bases b₁ and b₂
here h = 9 , b₁ = 19 , b₂ = 11 , then
A = \(\frac{1}{2}\) × 9 × (19 + 11) = 4.5 × 30 = 135 cm²
Are these shapes similar? If so please explain
Answer:
yes
Step-by-step explanation:
because it is the same shape.
One year, Roger and his wife Wilma together earned $67,000. If Roger earned $4,000 more than
Wilma earned that year, how much did each earn?
Answer:
roger earns 67:00 and Wilma earns 63:00
Step-by-step explanation:
The ratio of cups of water to cups of milk in a recipe is 1 to 5. Write three ratios equivalent to the ratio?
The given data is,
→ the ratio of cups of water to cups of milk in a recipe is 1 to 5
Now we have to,
→ find three ratios equivalent to the ratio
Then the ratios will be,
→ 1 (×2) : 5 (×2)
= 2 : 10
→ 1 (×3) : 5 (×3)
= 3 : 15
→ 1 (×4) : 5 (×4)
= 4 : 20
Thus, 2 : 10, 3 : 15 & 4 : 20 are the ratios.
00210.0 points Assuming 69.2 heartbeats/minutes, estimate the total number of times the heart of a human beats in an average lifetime of 68.4y. Assume 365.25 days per year. Answer in units of heartbeats. Your answer must be within ±5.0% 003 10.0 points How many (whole number of) 91 kg people can safely occupy an elevator that can hold a maximum mass of exactly 1 metric ton? A metric ton is 1.000×10
3
kg. Answer in units of people. 00410.0 points A human hair is approximately 56μm in diameter. Express this diameter in meters. Answer in units of m. 00510.0 points Convert 74mi/h to m/s. 1mi=1609 m. Answer in units of m/s.
The estimated total number of heartbeats in an average lifetime of 68.4 years is 2.9 billion heartbeats. The maximum number of 91 kg people that can safely occupy an elevator is 10 people. The diameter of human hair is 0.000056 meters.
(a) To estimate the total number of heartbeats in a lifetime, we multiply the heart rate (69.2 beats/minute) by the number of minutes in a year (60 minutes/hour * 24 hours/day * 365.25 days/year) and then multiply by the number of years in a lifetime (68.4 years). The calculation is: 69.2 beats/minute * 60 minutes/hour * 24 hours/day * 365.25 days/year * 68.4 years ≈ 2,886,699,648 beats. Therefore, the estimated total number of heartbeats in an average lifetime is approximately 2.9 billion heartbeats.
(b) To determine the maximum number of 91 kg people that can occupy the elevator, we divide the maximum mass the elevator can hold (1 metric ton or 1000 kg) by the mass of each person (91 kg). The calculation is: 1000 kg / 91 kg ≈ 10.98. Since we can only have whole numbers of people, the maximum number of people that can safely occupy the elevator is 10.
(c) To express the diameter of a human hair in meters, we convert the given diameter of 56 μm to meters by dividing by 1 million (since 1 μm = 1/1,000,000 meters). Therefore, the diameter of human hair is approximately 0.000056 meters.
(d) To convert 74 miles per hour to meters per second, we multiply the given value by the conversion factor 1609 meters/mile and divide by 3600 seconds/hour. The calculation is 74 miles/hour * 1609 meters/mile / 3600 seconds/hour ≈ 33.12 meters/second. Therefore, 74 miles per hour is approximately equal to 33.12 meters per second.
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what is the parallel slope of y=7
Answer: y = 7 is a horizontal line that has a slope of 0
Step-by-step explanation:
In the expansion of (3a + 4b)8, which of the following are possible variable terms? Explain your reasoning.
a2b3; a7b; ab8; b8; a4b4; a6b2; a3b4; a8
pls help
The terms b⁸, a⁶ · b², a⁴ · b⁴, a⁷ · b and a⁸ are part of the expansion of (3 · a + 4 · b)⁸.
How to find the missing terms of a power polynomials
In this case, we have to expand a power binomial by means of the Pascal's triangle, which offers a useful and quick resource to expand expressions of this kind, now we proceed to present the result of this approach:
(3 · a + 4 · b)⁸ = 6 561 · a⁸ + 69 984 · a⁷ · b + 326 592 · a⁶ · b² + 870 912 · a⁵ · b³ + 1 451 520 · a⁴ · b⁴ + 1 548 288 · a³ · b⁵ + 1 032 192 · a² · b⁶ + 393 216 · a · b⁷ + 65 536 · b⁸
Such combinations of products between variables a and b are also supported by the theorem of the binomial. Finally, the terms b⁸, a⁶ · b², a⁴ · b⁴, a⁷ · b and a⁸ are part of the expansion of (3 · a + 4 · b)⁸.
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