Answer:
4 packs of 5
3 packs of 2
Step-by-step explanation:
5•4=20
2•3=6
20+6=26
Let's solve this problem using a system of equations. We'll use two variables:
Let \( x \) be the number of gourmet treat packages (each with 2 treats).
Let \( y \) be the number of dental treat packages (each with 5 treats).
We have two pieces of information that will translate into equations:
1. The dog groomer buys 7 packages in total: \( x + y = 7 \)
2. The dog groomer buys 26 treats in all: \( 2x + 5y = 26 \)
Now, we have a system of two equations with two variables:
\[ \begin{align*}
x + y &= 7 \quad \text{(Equation 1)} \\
2x + 5y &= 26 \quad \text{(Equation 2)}
\end{align*} \]
We will solve this system using the substitution or elimination method. Let's use substitution in this case. We can solve Equation 1 for \( x \):
\[ x = 7 - y \]
Next, we substitute \( 7 - y \) for \( x \) in Equation 2:
\[ 2(7 - y) + 5y = 26 \]
Expanding and simplifying,
\[ 14 - 2y + 5y = 26 \]
Combine the \( y \) terms:
\[ 3y = 26 - 14 \]
\[ 3y = 12 \]
Divide both sides by 3 to solve for \( y \):
\[ y = \frac{12}{3} \]
\[ y = 4 \]
Now that we have \( y \), we can find \( x \) using \( x = 7 - y \):
\[ x = 7 - 4 \]
\[ x = 3 \]
So, the dog groomer bought 3 packages of gourmet treats and 4 packages of dental treats.
To check if the solution is correct, we can plug the values back into the original equations:
Equation 1 (number of packages)
\[ 3 + 4 = 7 \] (Correct)
Equation 2 (total number of treats)
\[ 2(3) + 5(4) = 6 + 20 = 26 \] (Correct)
The solution is correct, and the problem is solved. The dog groomer bought 3 packages of gourmet treats and 4 packages of dental treats.
If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
Answer:
28
Step-by-step explanation:
(k + k)(4)
2k(4)
2[5(4) - 6]
2(14)
28
Vertical and horizontal line (1,-4)—do X=blank and Y=blank
Answer:
x = 1 and y = - 4
Step-by-step explanation:
The equation of a vertical line is
x = c
where c is the value of the x- coordinates the line goes through.
Here the line passes through (1, - 4) with x- coordinate 1, thus
x = 1 ← equation of vertical line
The equation of a horizontal line is
y = c
where c is the value of the y- coordinates the line goes through.
Here the line passes through (1, - 4) with y- coordinate - 4, thus
y = - 4 ← equation of horizontal line
What is the value of k in the equation?
20k/20^4=20^9
20k/20⁴=20⁹
20k=20⁴×20⁹=20¹³
k=20¹³/20=20¹²
Answer: k=20¹²
The value of k in the equation (20k)/(20⁴) = 20⁹ is k = 20¹¹.
To solve for the value of k in the equation (20k)/(20⁴) = 20⁹, we can follow these steps:
1. Simplify both sides of the equation:
(20k)/(20⁴) = 20⁹
So, (20k)/(20⁴) = (20⁴)²
2. Evaluate the exponent on the right side:
(20k)/(20⁴) = 20⁸
3. Multiply both sides by (20⁴) to eliminate the denominator on the left side:
[(20k)/(20⁴)] * (20⁴) = (20⁸) (20⁴)
Simplifying the left side:
20k = 20¹²
4. Divide both sides by 20 to solve for k:
(20k)/20 = (20¹²)/20
k = 20¹² / 20
5. Further simplify the right side:
k = 20¹¹
Therefore, the value of k in the equation (20k)/(20⁴) = 20⁹ is k = 20¹¹.
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10. Write the number 2,049 in
expanded form.
Step-by-step explanation:
[tex]2049 = 2 \times 1000 + 0 \times 100 + 4 \times 10 + 9 \times 1 \\ = 2000 + 0 + 40 + 9 \\ = 2000 + 40 + 9[/tex]
Answer:
2,000 + 0 + 40 + 9
Explanation:
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits.
Hope this helps
- Amelia The Unknown
15 POINTS. Pls match and state clearly. :)
If your sisters brother is 12 on his 16th birthday, how many dishes can he fold?
A.) Orange
B.) Closet
C.) Nike
D.) 7
Answer:
none of them, its actully an ant eater
Step-by-step explanation:
My teacher assigned 2(3x+4) to my class and I and I’m not quite sure how to solve it because I don’t know and I’m also not quite sure if my friends and classmates know how to solve this problem either
Answer:
The answer is 6x+4
Step-by-step explanation:
2(3x+4) multiply both constant and variable by the value outside of the parenthesis
and you'll get 6x+4
if you need help then before you look for the answer online be sure to ask your teacher for help so you can understand and want have to look for the answer online
Wha rid the value of n very confused and need help
Answer:
n = 6
Step-by-step explanation:
Two intersecting chords. The product of the parts of one chord is equal to the product of the parts of the other chord, that is
7(n + 4) = 5(n + 8) ← distribute parenthesis on both sides
7n + 28 = 5n + 40 ( subtract 5n from both sides )
2n + 28 = 40 ( subtract 28 from both sides )
2n = 12 ( divide both sides by 2 )
n = 6
(9x2 + 10x + 4) − (9x2 + 5x − 1)
For this case we must simplify the following expression:
[tex](9x ^ 2 + 10x + 4) - (9x ^ 2 + 5x-1)[/tex]
We eliminate the parentheses taking into account that:
[tex]- * + = -\\- * - = +\\9x ^ 2 + 10x + 4-9x ^ 2-5x + 1 =[/tex]
We add similar terms taking into account that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.
[tex]9x ^ 2-9x ^ 2 + 10x-5x + 4 + 1 =\\5x + 5[/tex]
Answer:
[tex]5x + 5[/tex]
7x+5(-6)=-9 solve for x
Answer:
x=3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
7x+5(-6)=-9
7x-30=-9
7x=21
x=3
Joni’s hair is 13 inches long and grows at an average rate of ⅔ in per month. Her friend Kate’s hair is 16 inches long and grows at an average rate of ½ in per month. How many months will pass before the two friends have the same hair length?
Answer:
18
Step-by-step explanation:
13 + (⅔)t = 16 + (½)t
(⅔ - ½)t = 3
t/6 = 3
t = 18
The price of a t-shirt was $25.45. Lizzy gave the clerk $50. How much change did Lizzy get?
Answer: $24.55
Step-by-step explanation: subtract $25.45 from $50 and you get $24.55.
Alicia can paint a small room 21 hours faster than Nina aloneness 4 hours slower than Alicia and Nina together. How long will it take them to paint the room together? Express your answer in decimal form
Answer:
11.413 Hours.
Step-by-step explanation:
Alicia can paint a house in 21 hours; Which means in 1 hour she can paint 1/24 of the house.
Nina can paint the same house in (21+4) hours. Which means in 1 hour she can paint 1/25 of the house.
Together in 1 hour they can paint: 1/21 + 1/25 = 46/525 of the house.
Total Hours for painting the house together will be 525/46 = 11.413 Hours.
A sketch of Jessie’s neighborhood is shown below. Which equation can Jessie use to determine x, the distance from home to school?
Answer:
Hello the Answer is A!
Step-by-step explanation:
Here's how to do it
When you have the triangle of her school you add your first to angles together and subtract from 180. Then you are going to set is up as law of sine. So the order would be 6/sin110* = x/sin50*
Hope this helps <3
The distance from home to school will be 5 meters.
Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
From the given image the distance between the home and school is followed by the square 3 meters from the home and the school is 4 meters making a right-angle triangle.
The minimum distance between the school and the home will be calculated as;-
D = √ ( 3² + 4² )
D = √ ( 25 )
D = 5 meters'
Therefore, the distance will be 5 meters.
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Blanca has 3/4 pound of tuna salad. She uses 1/3 of the tuna salad to make sandwiches. How much of the tuna salad did Blanca use?
Answer:
33.33% or 1/3
Step-by-step explanation:
3/4 = 9/12
1/3 = 4/12
9/12 pounds is the total and 4/12 pounds were used were us
1/12 is equal to 8.333% because 9/12 is the 100%, so, the total tuna salad used was 33.33% = 1/3 of the total.
Brainliest please ;)
Answer:
3/12
Step-by-step explanation:
3/4 x 1/3 = 3/12 (3x1) = 3 (1x3) = 12
b. The area of the playground is one and a half times that of the swimming pool. Fir
the swimming pool and the playground.
Lesson 18:
Relate decimal and fraction multiplication.
©2018 Great Minds eureka-math.org
Answer:
Step-by-step explanation:The area of the playground is one and a half times that of the swimming pool. Fir
the swimming pool and the playground.
Without more information, we cannot determine the area of the playground and swimming pool.
Explanation:To find the area of the playground and swimming pool, we need more information such as the dimensions or area of one of the shapes. Without that information, we cannot solve the problem.
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Angle x and angle y are complementary. Angle x is supplementary to a 128 degrees angel. What are the measures of angle x and y
Answer: x is 52 and y is 38.
Step-by-step explanation:
x+128=180
x=52
52+y=90
y=38
Answer: X=128 y=52
Step-by-step explanation:
If x=128 take 180-128=52 and 52=y
A bag contains 25 cookies there are 15 chocolate chip cookies 7 peanut butter cookies and the rest are oatmeal raisin cookies what is the probability of randomly choosing a chocolate chip or peanut butter cookies from the bag
Answer:
22
----
25
Step-by-step explanation:
to get the answer you should add up the amount of chocolate chip and peanut butter cookies to get your total and then put it over the total amount of cookies you have
The probability of randomly choosing a chocolate chip or peanut butter cookie from the bag is 22/25 or 0.88 (rounded to two decimal places).
What is probability?The probability of randomly choosing a chocolate chip or peanut butter cookie can be found by adding the probabilities of choosing a chocolate chip cookie and a peanut butter cookie.
The probability of choosing a chocolate chip cookie is the number of chocolate chip cookies in the bag divided by the total number of cookies:
P(chocolate chip) = 15/25 = 3/5
The probability of choosing a peanut butter cookie is the number of peanut butter cookies in the bag divided by the total number of cookies:
P(peanut butter) = 7/25
So, the probability of choosing a chocolate chip or peanut butter cookie is:
P(chocolate chip or peanut butter) = P(chocolate chip) + P(peanut butter)
P(chocolate chip or peanut butter) = 3/5 + 7/25
P(chocolate chip or peanut butter) = 15/25 + 7/25
P(chocolate chip or peanut butter) = 22/25
Therefore, the probability of randomly choosing a chocolate chip or peanut butter cookie from the bag is 22/25 or 0.88 (rounded to two decimal places).
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The farthest distance a satellite signal can directly reach
is the length of the segment tangent to the curve of Earth's
surface. If the measure of the angle formed by the tangent
satellite signals is 135, what is the measure of the intercepted
satellite
arc on Earth? (The figure is not drawn to scale.)
Answer:
45°
Step-by-step explanation:
The sum of interior angles of the quadrilateral that has vertices at the center of the Earth, the two points of tangency, and the satellite is 360°. The angles at the points of tangency are 90°, so the angle at the satellite and the central angle are supplementary.
The arc has a measure of 180° -135° = 45°.
Is the relation a function? Yes or No? (4,5),(4,-7), (4,2), (4,0), (4,9)
Answer:
No, because 4 is repeated in the domain.
Step-by-step explanation:
Answer:
No it's not a function
Step-by-step explanation:
When the domain repeats either once or more, it's never a function
The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side The third side is 7
meters more than the first side. What is the length of each side?
Answer:
x=21
y=16
z=28
Step-by-step explanation:
Let
The first side=x
The second side =y
The third side=z
The rest is in the attached file
Answer:
First side (x)[tex]=21m[/tex]
Second side[tex]=x-5=21-5=16m[/tex]
Third side[tex]= x+7=21+7=28m[/tex]
Step-by-step explanation:
Perimeter of the triangle= Sum of all the three sides
Let the First side be [tex]'x'[/tex]
Then, Second side [tex]=x-5[/tex]
Third side= [tex]x+7[/tex]
Perimeter[tex]=65 m[/tex]
Perimeter of the triangle= First side + Second side + Third side
[tex]65=x+(x-5)+(x+7)\\\\65=x+x+x-5+7\\\\65=3x+2\\\\3x=65-2\\\\3x=63\\\\x=63/3\\\\x=21 m\\\\[/tex]
First side (x)[tex]=21m[/tex]
Second side[tex]=x-5=21-5=16m[/tex]
Third side[tex]= x+7=21+7=28m[/tex]
Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6?
y = negative 6 x + four-fifths
y = four-fifths x minus 6
y = four-fifths x + 6
y = 6 x + four-fifths
Answer:
Option B.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is a slope and b is y-intercept.
It is given that slope of line is 4/5 and y-intercept is -6.
Substitute m=4/5 and b=-6 in the above formula.
[tex]y=\dfrac{4}{5}x+(-6)[/tex]
[tex]y=\dfrac{4}{5}x-6[/tex]
Hence, the correct option is B.
Solve each equation.
a. 10 = 4y
b.5y = 17.5
c. 1.036 = 10y
d. 0.6y = 1.8
e. 15 = 0.1y
Answer:
a. y = 2.5
b. y = 3.5
c. y = 0.1036
d. y = 3
e. y = 150
Step-by-step explanation:
a. 10 ÷ 4 = 2.5
b. 17.5 ÷ 5 = 3.5
c. 1.036 ÷ 10 = 0.1036
d. 1.8 ÷ 0.6 = 3
e. 15 ÷ 0.1 = 150
joe and Eric have to ship 75 packages. Joe can do the job alone in 5 hours. if Eric helps, they get it done in 4 hours. How long would it take Eric to do the job alone?
Eric took 20 hours to do the job alone.
Step-by-step explanation:
Given :
Total work = 75 packagesJoe took 5 hours to complete the total work.The amount of work Joe alone can do per hour = 75/5 = 15 packages.
The amount of work Joe and Eric together do per hour = 75/4 = 18.75
The amount of work Eric alone can do per hour = 18.75 - 15 = 3.75
The time Eric took to complete the entire work = 75 / 3.75 = 20 hours.
Determine whether the point is on the graph of the equation 2x+3y=8.
(1,2)
The point [tex](1,2)[/tex] is on the graph of the equation.
Explanation:
The equation is [tex]2x+3y=8[/tex]
We need to determine the point [tex](1,2)[/tex] is on the graph.
To determine the point [tex](1,2)[/tex] is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.
Thus, substituting the point [tex](1,2)[/tex] in the equation [tex]2x+3y=8[/tex], we get,
[tex]2(1)+3(2)=8[/tex]
Multiplying the terms within the bracket, we have,
[tex]2+6=8[/tex]
Adding the LHS, we have,
[tex]8=8[/tex]
Thus, both sides of the equation are equal.
Hence, the point [tex](1,2)[/tex] is on the graph of the equation [tex]2x+3y=8[/tex]
Which TWO linear equations represent perpendicular lines?
y = ½x + 4
x - 3y = -8
y = -2x - 3
y = 2x - 4
Step-by-step explanation:
[tex]y = \frac{1}{2} x + 4[/tex]
and,
[tex]y = - 2x - 3[/tex]
represents perpendicular lines.
Two lines are perpendicular when product of their slopes = -1
In, y =½x+4
m1 = ½
In y = -2x -3
m2 = -2
Now, m1× m2 = ½× (-2) = -1
11. Simon arrived at work at 8:15 A.M. and left work at 10:30 P.M. If Simon gets paid by the hour at a
rate of $10 and time and / for any hours worked over 8 in a day. How much did Simon get paid?
A. $120.25
B. $160.75
C. $173.75
D. $180
E. $182.50
Answer:
D
Step-by-step explanation:
Gavin is training for a marathon and varies his workouts from day to day. Gavin ran 10 MPH during Monday's workout and 50% slower during Tuesday's workout. How fast did he run on Tuesday?
MPH
Solution:
Given that,
Gavin ran 10 MPH during Monday's workout
50% slower during Tuesday's workout
Therefore,
Speed in tuesday = 50 % slower than monday
Which means,
Speed in tuesday = 10 - 50 % of 10
Solve the above
[tex]\text{ Speed in tuesday } = 10 - \frac{50}{100} \times 10\\\\\text{ Speed in tuesday } = 10 - 0.5 \times 10\\\\\text{ Speed in tuesday } = 10 - 5\\\\\text{ Speed in tuesday } = 5\\\\[/tex]
Thus, he ran 5 mph in tuesday
Rewrite the expression by favoring out the greatest common factor: 9b+12
Answer:
3(3b + 4)
the GCF is 3
Step-by-step explanation:
Susan invests 3 times as much money at 10% as she does at 6%. If her total interest after 1 year is $1800, how much does she have invested at each rate?
Susan has $5000 invested at 6% and $15000 invested at 10%.
To solve the problem, let's use algebra to define the amount Susan has invested at each rate. Let the amount invested at 6% be represented by x, and consequently, the amount invested at 10% will be 3x, as it is three times the amount invested at 6%. The total interest from both investments is $1800 after one year.
The interest from the investment at 6% is 0.06x, and the interest from the investment at 10% is 0.10(3x), which is 0.30x. The equation representing the total interest is:
Total Interest = Interest from 6% + Interest from 10%
1800 = 0.06x + 0.30x
Combining like terms gives us:
1800 = 0.36x
Dividing both sides of the equation by 0.36 to solve for x:
x = 1800 / 0.36
x = $5000
This is the amount invested at 6%. The amount invested at 10% is 3 times that, so:
3x = 3 * $5000
3x = $15000
Therefore, Susan has $5000 invested at 6% and $15000 invested at 10%.