Answer:
The value of a is 6 and the value of b is -12
Step-by-step explanation:
Given identity is:
a(4x – 10) = 24x + 5b
We can use the comparison of coefficients method to find the values of a and b
So,
By simplifying the left hand side of identity
[tex]4ax-10a = 24x+5b\\4ax+(-10)a = 24x+5b[/tex]
Comparing the co-efficient of x
[tex]4a = 24\\a = \frac{24}{4}\\a = 6[/tex]
Comparing the constant terms
[tex]-10a = 5b[/tex]
Putting the value of a
[tex]-10(6) = 5b\\-60 = 5b\\b = \frac{-60}{5}\\b = -12[/tex]
Hence,
The value of a is 6 and the value of b is -12
36 flowers in 4 vases = flowers per vase?
Answer:
9 flowers per vase
Step-by-step explanation:
36 divided by 4 is 9
can i get brainliest plz
Drake spent $540 on books. Math books cost $60 and science books cost $80. If he bought a total of 8 books, how many of each kind did he buy?
Answer:
He bought 4 in total
Please help me due soon please
Answer:
First one is quinton
second one is 900
Step-by-step explanation:
Answer:
Card #10: Quiesha is right
Card #6: Ulysses is right
A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long. Work out the length of the path
Answer:
d = 18.02 m
Step-by-step explanation:
Given that,
A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long.
We need to find the length of the path.
The diagonal of a rectangle can be calculated as follows :
[tex]d=\sqrt{10^2+15^2} \\\\d=18.02\ m[/tex]
So, the length of the path is 18.02 m.
CAN SOMEONE PLEASE HELP ASAP
Answer:
See photo
Step-by-step explanation:
I neeeeeeddddd helppppppppppppppp
is this right?
Answer:
no the answer is 7.....
Answer:7
Step-by-step explanation:
27 divided by 3 is 9.
so
21 divided by 3 will give u the answer which is 7.
pls help me with these thx
Write a numeric expression for EACH phrase on the line provided:
Answer:
Step-by-step explanation:
x^2-4
5x+6
15-(x+3)
2(x-7)
Hope this is correct
Which model represents 2.36 ÷ 4? A. Three groups of three tenths and four hundredths B. Three groups of five tenths and nine hundredths C. Four groups of three tenths and six hundredths D. Five groups of five tenths and nine hundredths
Answer:
Five groups of five tenths and nine hundredths
Step-by-step explanation:
Mathematically;
2.36 divided by 4 = 0.59
So we want to select from the options, the best representation of this
That will be
0.5 + 0.09
so our answer is 5 groups of five tents and nine hundredths
The model which represents 2.36 ÷ 4 is; Choice D: Five groups of five tenths and nine hundredths
We must perform the division 2.36 ÷ 4 first so that we have;
2.36 ÷ 4 = 0.59The result, 0.59 can then be written in words as; Five tenths and 9 Hundredths.
Ultimately, the model. which represents the expression 2.36 ÷ 4 is; Choice D: Five groups of five tenths and nine hundredths.
Read more on place value:
https://brainly.com/question/18838031
Name the line of reflection.
Answer:
y=0
Step-by-step explanation:
the ratio between the number of vowels and consonants letters of word ALERT is
Write a quadratic equation given the roots -1/3 and 5, show your work
[tex] \boxed{(x - a)(x - b) = 0}[/tex]
The equation above is the intercept form. Both a-term and b-term are the roots of equation.
[tex]x = - \frac{1}{3} \\ x = 5[/tex]
These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.
[tex](x + \frac{1}{3} )(x - 5) = 0[/tex]
Here we can convert the expression x+1/3 to this.
[tex]x + \frac{1}{3} = 0 \\ 3x + 1 = 0[/tex]
Rewrite the equation.
[tex](3x + 1)(x - 5) = 0[/tex]
Simplify by multiplying both expressions.
[tex]3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0[/tex]
Answer Check
Substitute the given roots in the equation.
[tex]3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0[/tex]
[tex]3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0[/tex]
The equation is true for both roots.
Answer
[tex] \large \boxed {3 {x}^{2} - 14x - 5 = 0}[/tex]
a car travels 120 km in one and a half hours. what is the average speed
Answer:
The speed would be 60kph.
Answer:
80 mph (average)
Step-by-step explanation:
Split 120 into thirds, each one being half an hour.
120/3=40
Add two of them together, getting 80.
40x2(or 40+40)=80
Since the car travels 80 miles in one hour, 80 mph is the average speed.
Which graph has a slope of 4/5?
Answer:
remake question and comment on this answer. don't forget the pictures of the graphs!
The number of turtles in a lake increased by 20% between last year and this
year. Last year there were 110 turtles in the lake. What is the population
this year?
A. 88 turtles
B. 90 turtles
C. 132 turtles
D. 138 turtles
A company makes 140 bags.
21 of the bags have buttons but no zips.
25 of the bags have zips but no buttons.
45 of the bags have neither zips nor buttons.
How many bags have zips on them?
A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object. The total number of bags that have both zips and buttons is 49.
What is a set?A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.
Given that A company makes 140 bags. 21 of the bags have buttons but no zips. 25 of the bags have zips but no buttons. 45 of the bags have neither zips nor buttons.
Now, we can write the following things about the given condition,
Total number of bags, s = 140
Bags with Only zips, only Z = 25
Bags with only buttons, only B = 21
Bags with neither or them, Z'∩B' = 45
Now, the total number of bags that have both of them is,
Z∩B = s - only Z - only B - Z'∩B'
= 140 - 25 - 21 - 45
= 49
Hence, the total number of bags that have both zips and buttons is 49.
Learn more about Set:
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#SPJ5
HELP PLS AHHH JSBDNSJDNSN
Answer:
Translation you buffoon
Step-by-step explanation:
Answer:
TRANSLATION. A
Step-by-step explanation:
JSBDNSJDNSN
HELP PLEASE ANSWER 7
Answer:
f(x) = 7
Step-by-step explanation:
we use the bottom equation (4x+3) because
1 > 0
so
4(1) +3 = 7
The minute hand of a clock is 6 inches long. How far does the tip of the minute hand move in 15 minutes? How far does it move in 25 minutes?
Answer:
Step-by-step explanation:
angle subtended at center in 15 minutes=360÷60×15=90°=π/4
distance traveled by minute hand=2πr/4=πr/2=6π/2=3π inches≈9.42 inches
distance travelled by minute hand in 25 minutes=2πr×25/60=50πr/60=5/6πr
≈5/6 π×6=5π inches ≈15.71 inches
Noah's family also wants to blow up a total of 60
balloons for the party. Yesterday they blew up 24
balloons. Today they want to split the remaining balloons
equally between four family members.
Answer: They each will get 9 balloons
Step-by-step explanation: I got my answer by doing 60-24=36 then i divided it between each of the 4 family members with equals 9 per famil member!
combine another pipe and another
Answer:
3 and 3/8
Step-by-step explanation:
1, and 4/8 + 1, and 6/8 = 3 and 2/8
3 and 2/8 + 1/8 = 3 and 3/8
Solve: 40 + -58
Please help!
Answer:
-18
Step-by-step explanation:
because you take 40 + -58 and you can make the positive and negative sign a negative so now it would be 40-58
if you reverse it to make it 58-40 you would get 18 and then reverse it back to negative because you reversed it once so now its -18
Simplity (4^-2)^5
A.1/4^10
B. 4^3
C.1/4^3
D. 4^10
Answer:
[tex](4^{-2})^5=\dfrac{1}{4^{10}}[/tex]
Step-by-step explanation:
The given expression is : [tex](4^{-2})^5[/tex]
We need to simplify the above expression.
We know that, [tex]x^{-a}=\dfrac{1}{x^a}[/tex]
or
[tex](4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}[/tex]
So, the simplified form of the given expression is [tex]\dfrac{1}{4^{10}}[/tex]. Hence, the correct option is (A).
Answer:
The answer is a 1/4^ 10.
Step-by-step explanation:
Solve the system using elimination:
3x + 2y = 9
x + y = 4
Step-by-step explanation:
a) (1,3)
I think it is correct answer
A department store sells a pair of shoes with an 56.3% markup. If the store bought the pair of shoes for $43.75, what is the selling price to the nearest cent?
Answer:
The selling price for the shoes will be $68.35
Step-by-step explanation:
PLEASE HELP FOR BRAINLIEST
If y=24, what does ViVi Supremacy = ?
Answer:
X=2
Step-by-step explanation:
x = ky (direct variation formula)
8 = 24k
1/3 = k
x = (1/3)(6)
x = 2
Alonzo will rent a car for the weekend. He can choose one of two planes. The first plan has an initial fee of $38 and cost an additional $.12 per mile driven the second plan has an initial fee of $49 in cost an additional seven cents per mile driven. What amount of drive into the two plans cost the same? What is the cost when the two plans cost the same?
Answer:
in 220 miles both plans will cost the same
Step-by-step explanation:
38 + .12m = 49 + .07m
38 + .05m = 49
.05m = 11
m = 11/.05
Help plz ! Find the slope of the line
Answer:
-2/1
Step-by-step explanation:
Becky has 785 tickets to trade for prizes. She picks a book that cost 27 tickets and a toy that cost 3 times as many tickets as the book. How many tickets does she have left?
Answer:
677
Step-by-step explanation:
785-27= 758
27*3= 81
758- 81= 677
I hope this helps!!!!
The figures shown are similar. Find the lengths of x,y and z
Answer:
explanation po sana ang kailangan
point (-4,-8) Reflected across the x-axis
Answer:
(-4 , 8)
Step-by-step explanation:
The x-axis is the horizontal line. In this case, if you are reflecting over the x-axis, you are flipping the sign of the y-coordinate.
Same with the y-axis. If you are reflecting over the y-axis, you are flipping the sign of the x-coordinate.
In this case, reflect across the x-axis. Flip the sign of the y: (x , y)
(-4 , -8) reflected over the x-axis is (-4 , 8).
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