Meaghan must adopt 8 cats to maintain the same ratio of cats to dogs.
Step-by-step explanation:
Currently , Brett has 2 dogs while Meaghan has four times as many cats. This means Meaghan has 4*2 cats, hence current ratio for dogs to cats is;
2dogs : 8 cats
2:8
1:4
Brett adopts two more dogs, meaning total number of dogs will be; 2+2 =4
New ratio
dogs :cats
4:8
However to maintain the previous ratio of 1:4, number of cats should be ;
1=4
4=?----cross product
=16
For the ratio to be maintained, dogs to cat number should be
4:16
The number of cats to be adopted should be ; 16-8 =8 more cats
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Keywords : dogs, cats. ratio, adopt, maintain
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Answer:
8.
Step-by-step explanation:
What is the value of N in the following equation 2n x 5squared= 25 divided by 32
Answer: [tex]\frac{1}{64}[/tex]
Step-by-step explanation:
We have the following equation:
[tex](2N)(5^{2})=\frac{25}{32}[/tex]
Isolating [tex]N[/tex]:
[tex](2N)(25)=\frac{25}{32}[/tex]
[tex]2N=\frac{25}{(32)(25)}[/tex]
[tex]N=\frac{1}{(32)(2)}[/tex]
Finally:
[tex]N=\frac{1}{64}=0.0156[/tex]
Whitney left school and drove 7 miles to meet her mother at a restaurant. Her mother left at the same time and drove 8 miles, traveling 5 mi/h faster than her daughter. If the two arrived at the restaurant at the same time, what was Whitney’s speed?
Whitney's speed was 35 miles per hour.
Let's let x represent Whitney's speed in miles per hour (mi/h). Then, Whitney's mother's speed would be x + 5 mi/h. Since time is equal to distance divided by speed, and both Whitney and her mother arrived at the same time, we can set their times equal to each other:
Whitney's time = Distance / Speed = 7 miles / x mi/h
Mother's time = Distance / Speed = 8 miles / (x + 5) mi/h
7/x = 8/(x + 5)
7(x + 5) = 8x
7x + 35 = 8x
x = 35 mi/h
Therefore, Whitney's speed was 35 miles per hour.
Which expression is the same as 5÷3?
A. 1/3 of 5
B. 3 ÷ 5
C. 1/5 ÷ 1/3
D. 1/5 of 3
Answer:
Step-by-step explanation:
A) 1/3 of 5
1/3 of 5 = (1/3)*5 = 1*5/3 = 5/3
Round 23.5481 to the nearest thousandth
Answer: 23.548
Step-by-step explanation: The thousandths place is 3 places to the right of the decimal point so in this problem, the digit in the rounding place is 8.
The rules of rounding says that if the digit to the right of the rounding place is greater than or equal to 5, we round down but if the digit to the right of the rounding place is less than 5, we round down.
Since the digit to the right of the rounding place, 1, is less than 5, we round down. This means that the digit in the rounding place which is 8 stays the same and we change all digits to the right of 8 to zero.
So we have 23.5480.
Finally, it's important to understand that when rounding decimals, we can drop any zeroes to the right of the decimal point as long as they're also to the right of the rounding place.
This means that 23.5481 rounded to the nearest thousandth is 23.548.
Find the slope of the line containing the pair of points
-8.11) and (-4,10)
Answer:
m=-1/4 or - 0.25
watch explanation
Answer:
- 1/4
Step-by-step explanation:
slope (m) = difference of y / difference of x
m = (10 - 11) / (-4 - (-8)) = -1 / 4
please help!! I must show all of my work asap
Answer:
Step-by-step explanation:
{ first do the operation which is inside parenthesis, then division, multiplication, subtraction and addition}
3* (9-5) - 3*2 = 3* 4 - 3*2
= 12 - 6 = 6
(16-8) / (4-2) = 8 / 2 = 4
3* (9-5) - 3*2 > (16-8) / (4-2)
does y=5/6x+2 and y=5/6x-2 have exactly one solution
Answer:
infinately many solutions
Step-by-step explanation:
HELP ASAP. need help with this.
Good morning,☕️
Answer:
18 notifications books to 4 cookbooks2 cookbooks to 9 notifications books8 novels to 12 notifications books.
Step-by-step explanation:
_________________________
3 notifications books to 2 novels
then
18 notifications books to 12 novels
then
12 novels to 4 cookbooks
finally, we get 18 notifications books to 4 cookbooks
________________________
2 cookbooks to 6 novels
then
6 novels to 9 notifications books
finally ,we get 2 cookbooks to 9 notifications books
_________________________
2 novels to 3 notifications books
Finally ,we get 8 novels to 12 notifications books.
:)
Answer:
18 notifications books to 4 cookbooks
2 cookbooks to 9 notifications books
8 novels to 12 notifications books.
Step-by-step explanation:
Which of the following facts did your answer include?
Answer:
You forgot to attach the image
If a spring stretches 6 meters when a 7-kilogram weight is attached to it, how much will it stretch when a 42-kilogram weight is attached to it?
Answer:
Step-by-step explanation:
This is a simple proportion problems.
7 kilogram weight attache to a spring stretches = 6 meters
1 kilogram would stretch = 6/7 m
Therefore 42 kilograms would stretch = (6/7 x 42)meters
= 36 meters.
A (2, 2)
B (1, 4)
C (3, 5)
Square ABCD has the coordinates shown.
Find the coordinates of point D.
Answer:
D(4,3)
Step-by-step explanation:
Plot pointa A, B, C on the coordinate plane.
You move 1 unit to the left and 2 units up from point A to point B;You move 1 unit up and 2 units to the right from point B to point C.Thus,
You move 1 unit to the right and 2 units down from point C to point D;You move 1 point down and 2 units to the left from point D to point A.Therefore, the coordinates of point D are (4,3)
Is 18.04 greater or less than 18.4
Step-by-step explanation: To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers.
Next, we compare the digits place by place starting on the left.
1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0.
This means that 18.4 is greater than 18.04.
So to answer your question, 18.04 is less than 18.4
If the radius of circle F is 19 cm, what is the length of its diameter?
A. 19 cm
B . 9.5 cm
C. 38 cm
D. 21 cm
Thanks❣️
Answer:
C
Step-by-step explanation:
Note the diameter of a circle is twice the radius, thus
diameter = 2 × 19 = 38 cm → C
Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale factor that describes a dilation from BC to FG? Give the exact scale factor and state whether the dilation is an expansion or a contraction.
If side AB has length 17/26 what is the length of side EF? Give the exact, un-rounded value.
PLEASE HELP ASAP
If the area of ABCD is 147 square inches, what is the area of EFGH? Give the exact answer.
Answer:
[tex]\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}[/tex]
Step-by-step explanation:
A. Scale factor
When you dilate an object by a scale factor, you multiply its line lengths by the same number.
If EF/AB = 13/7, the scale factor is 13/7.
B. Length of EF
[tex]\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}[/tex]
C. Area of EFGH
If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.
ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of
[tex]\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}[/tex]
The area of its dilated image EFGH is
[tex]\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}[/tex]
92.0565426965 to the 6 place
Answer:
92.056543
Step-by-step explanation:
The adult dosage directions for 325-mg aspirin tablets reads "take 1 or 2 tablets every 4 hour
not to exceed 12 tablets in 24 hours." In grams, what is the maximum amount of aspirin an adı
should take in one day?
Answer:
[tex]1mg = 0.001g \\ 12 \times 325 = 3900 \\ \frac{3900}{1000} = 3.9g[/tex]
hope it helps pls mark braiest
Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts
jumping. Here, t is entered in radians.
H(t) =-0.6 cos (2pi/2.5)t + 1.5
What is the second time when Luiza reaches a height of 1.2 m?
Round your final answer to the nearest hundredth of a second.
Answer:
t=2.08 seconds.
Step-by-step explanation:
Well, in this example, H(t)=-0.6cos(2pi/2.5)t+1.5 should be equal to 1.2. If calculated, -0.6cos(0.8pi)t=1.2-1.5 which is equal to -0.6cos(0.8pi)t=-0.3, then cos(0.8pi)t=0.5. The value of cosine in terms of radians when it is equal to 0.5 is pi/3. So, cos(0.8pi)t=cos(pi/3). If simplified, (0.8pi)*t=5pi/3. pi's are cancelled out and t is calculated as 2.08333... If rounded to the nearest hundredth it is 2.08.
Madelinie can decorate 100 cookies in 2 hours. How many cookies can she decorate in 5 hours
Answer:
250 Cookies
Step-by-step explanation:
First calculate the cookies decorated per hour
100 ÷ 2 = 50 cookies per hour
Number of cookies in 5 hours = 50 × 5
= 250 Cookies
Answer:
250
Step-by-step explanation:
Divide 100 by 2 to get the hourly rate which would be 50. Then take the hourly rate and multiply it by the number of hours given, 5. 5 multiplied by 50 equals 250 cookies
Write an equation in slope-intercept form of the line that passes through (6, – 1) and (3, – 7).
y=
Answer:
y=2x-13
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-(-1))/(3-6)
m=(-7+1)/-3
m=-6/-3
m=2
y-y1=m(x-x1)
y-(-1)=2(x-6)
y+1=2x-12
y=2x-12-1
y=2x-13
Nth term sequences, please may I get some help. 15 p.
Answer:
[tex](n+2)^2+6[/tex]
Step-by-step explanation:
Pattern 1 consists of
[tex]3+3\times 3+3[/tex] small squares (here n = 1 and [tex]3\times 3=(1+2)\times (1+2)[/tex]).
Pattern 2 consists of
[tex]3+4\times 4+3[/tex] small squares (here n = 2 and [tex]4\times 4=(2+2)\times (2+2)[/tex]).
Pattern 3 consists of
[tex]3+5\times 5+3[/tex] small squares (here n = 3 and [tex]5\times 5=(3+2)\times (3+2)[/tex]).
Thus, pattern n consists of
[tex]3+(n+2)\times (n+2)+3=6+(n+2)^2[/tex] small squares.
Please help me. I'm stupid.
Answer:
[tex]\displaystyle 36\:units[/tex]
Step-by-step explanation:
Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = 10^2 \\ \\ 36 + 64 = 100 \\ \\ 100 = 100[/tex]
With this Pythagorean Triple, we know that our dimensions are correct. Now, to find the perimeter, just add up all the sides EXCEPT for the divider:
[tex]\displaystyle 2[10] + 2[8] = 20 + 16 = 36[/tex]
I am joyous to assist you anytime.
College can be expensive, but it is worth the expense. Students should consider financial aid when applying for colleges. Here _______ common ways to fund a college education: earn scholarships, obtain loans, and find a job.
College can be expensive, but it is worth the expense. Students should consider financial aid when applying for colleges. Here are common ways to fund a college education: earn scholarships, obtain loans, and find a job. Therefore, the correct answer choice is: C. are.
In English language, a sentence is a group of words or phrases that comprises a subject and predicate, which are typically used by an author or speaker in order to convey a logical information about a subject matter to an audience (readers or listeners).
A verb is one of the parts of speech in English language and it refers to any word that describes an action, occurrence, or a state of existence.
In this context, we can reasonably infer and logically deduce that the most appropriate word to complete the sentence is "are" because it is a linking verb and it connects the subject with objects in plural form.
What is the volume of this rectangular prism 7/5 CM by 5 cm and 7/2 cm
Answer:
[tex]V=\frac{49}{2}\ cm^3[/tex]
or
[tex]V=24.5\ cm^3[/tex]
Step-by-step explanation:
we know that
The volume of the rectangular prism is
[tex]V=LWH[/tex]
where
L is the length
W is the width
H is the height
substitute the given values in the formula
[tex]V=(\frac{7}{5})(5)(\frac{7}{2})[/tex]
[tex]V=\frac{245}{10}\ cm^3[/tex]
Simplify
[tex]V=\frac{49}{2}\ cm^3[/tex] ---> fraction form
or
[tex]V=24.5\ cm^3[/tex] ----> decimal form
The volume of the rectangular prism is 24.5 cm³.
To find the volume of a rectangular prism, you use the formula Volume = length × width × height. Given the dimensions of the prism are 7/5 cm by 5 cm and 7/2 cm, we calculate the volume by multiplying these three dimensions together.
Volume = (7/5) cm × 5 cm × (7/2) cm
First, simplify the calculation by multiplying the whole numbers: Volume = (7 × 5 × 7) / (5 × 2) cm³, which simplifies to Volume = 49/2 cm³. Then, divide 49 by 2 to get Volume = 24.5 cm³.
Answer the question and answer it down below
Answer:
4:24 p.m.
Step-by-step explanation:
Figure out how often the buses leave at the same time. This is the same as the least common multiple (LCM) of how often they leave the stadium.
The LCM is found by multiplying the maximum number of each prime factor found in any of the numbers.
The prime factors of a number are found by dividing it by whole numbers until the factors are all prime. Prime numbers only have the factors 1 and itself.
6 = 2 X 3
8 = 2 X 2 X 2
The greatest times 2 repeats is three times.
The greatest times 3 repeats is one time.
2 X 2 X 2 X 3 = 24
The LCM is 24, and the buses have the same leaving times every 24 minutes.
Find 24 minutes after 4:00 p.m. Change the minutes only, which are the numbers right of the colon : .
The buses will next leave together at 4:24 p.m.
P=s+t+r for s simplfy your answer
Answer:
s = P - t - r
Step-by-step explanation:
You are solving for the variable, s. To do so, isolate the variable. Note the equal sign, what you do to one side, you do to the other.
First, subtract the variable t from both sides of the equation:
P (- t) = s + t (-t) + r
P - t = s + r
Next, isolate the variable s by subtracting r from both sides:
P - t (-r) = s + r (-r)
P - t - r = s
s = P - t - r
s = P - t - r is your answer.
~
what is the supplementary angle of 45 percent
Answer:
135°
Step-by-step explanation:
An angle of 45° has a supplementary angle of 180° - 45° = 135°
Answer: 135
Step-by-step explanation:
Two angles are said to be supplementary if they sum up to be 180.
Let the supplementary angle to 45 be x ,
then :
x + 45 = 180
x = 180 -45
x = 135
HELP ME ITS FOR 20 POINTS
Answer:
Ans is 30.................
4. Select all the sentences that describe a
comparison using multiplication.
0 25 is 5 more than b.
64 is 8 times as many as w. i
An ant can carry 50 times its
own weight
There are 7 times as many balls V
as bats.
Each adult ticket costs $5 more than
a student ticket.
64 is 8 times as many as w
There are 7 times as many balls V as bats
The phrase "times as many" signals multiplication.
Final answer:
The answer provides examples of sentences that describe a comparison using multiplication from the options given.
Explanation:
Select the sentence that describes a comparison using multiplication:
64 is 8 times as many as w.
There are 7 times as many balls V as bats.
An ant can carry 50 times its own weight.
Which expression is equivalent to (2mn)^4/6m^-3n^-2?
Answer:
(8m^7n^6)/3.
Step-by-step explanation:
(2mn)^4/6m^-3n^-2
= 16m^4n^4 / 6m^-3n^-2
= (8m^7n^6)/3
What are the roots of the polynomial equation? (picture below)
Answer:
x = - 9, x = 0, x = 7
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] x(x - 7)(x + 9) = 0 ← in standard form
Equate each factor to zero and solve for x
[tex]\frac{1}{2}[/tex] x = 0 ⇒ x = 0
x - 7 = 0 ⇒ x = 7
x + 9 = 0 ⇒ x = - 9
Answer:
-9, 0, 7
Step-by-step explanation:
Finding the roots of a polynomial equation is the same as solving the equation. So, simply figure out which values make the equation equal 0.
If multiplication is involved, then 0 is always an answer (or root). Because anything multiplied by 0 is always 0.
7 is also a root:
7 - 7 = 0
Same with -9:
-9 + 9 = 0