[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]
Find the area of an equilateral triangle with side length 4.6 cm. Round your answer to 1 DP.
Answer:
A = 9.2 cm²
Step-by-step explanation:
A = 1/2 bh, you know the base = 4.6 and you need to find the height of the triangle.
Drawn the attitude of the equilateral triangle to the base and use a² + b² = c²
c = side of the triangle = 4.6 , b = 1/2 0f 4.6 = 2.3 . the attitude to the base ÷ the base in half.
a² + (2.3)² = (4.6)²
a² + 5.29 = 21.16
a² = 21.16 - 5.29
a² = 15.87
[tex]a = \sqrt{15.87}[/tex]
Now we know the height of the triangle = [tex]\sqrt{15.87}[/tex] , the base = 4.6
A = 1/2bh
A = 1/2 (4.6)([tex]\sqrt{15.87}[/tex] )
A = 9.1625
A = 9.2 cm² or the A of any equilateral triangle = [tex]\frac{\sqrt{3} }{4} s^2[/tex]
A = [tex]\frac{\sqrt{3} }{4} (4.6)^2[/tex]
A = 9.1625
A = 9.2
write the sum and then write an equivalent expression by collecting like terms and removing parentheses the opposite of (5x - 1) and 5x
Answer:
remove the bracket 5x-1+5x collect like term 5x+5x-1
10x-1 is the answer
If ab =12 and a²+b²=25, then (a+b)²= ?
Recall that
(a + b)² = a² + 2ab + b²
Then
(a + b)² = 25 + 2•12 = 49
Please y'all I need help
Answer:
c
Step-by-step explanation:
I think I c cause one of the coordinates is in -4 and the other one is bw 10 and 8 :)
Find the area of trapezium where area=5cm base=6cm height=8cm
Answer:
44cm2
Step-by-step explanation:
[8×(5+6)]/2
=(8×11)/2
=88/2
=44cm2
What is the slope of the line containing the points (-6,4) and (2,1)
true or false Canada's indigenous people originally came from Asia
Answer:
True
Step-by-step explanation:
They came from east Asia
I hope this helps!
Divide 75 by -25.
12
Answer: 6.25
Step-by-step explanation:
Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither
A school communoty had planned to reduce the number of grade 9 students per class room by constructing additional class room however they constructed 4 less rooms than they planned As the result tye number of students per class was 10 more than they planned if there are 1200 grade 9 students in the school determine the current number of class rooms and the number of students per class (I need instant help)
Here is my solution. I hope it is helpful.
3.74 = 0.4n + 2.5
What value of n makes the equation TRUE?
The value of n for the equation to be true is n = 3,1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A , 3.74 = 0.4n + 2.5
Now ,
3.74 = 0.4n + 2.5
Subtracting 2.5 on both sides of the equation , we get
0.4n = 3.74 - 2.5
0.4n = 1.24
Divide by 0.4 on both sides of the equation , we get
n = 3.1
Therefore , n = 3.1
Hence , the value of n for the equation to be true is n = 3.1
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Carlo and his two brothers helped to decorate the house for the party. Each of them blows 12 balloons. But 5 balloons pop. How many balloons do they have for decoration.
Answer:
31
Step-by-step explanation:
thye blow up 36 balloons in total but 5 pop 36-5=31
Write the slope-intercept form of the equation with the given point and slope. Through (2,5) and m=1/2
Answer:
y=1/2x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-5=1/2(x-2)
y=1/2x-2/2+5
y=1/2x-1+5
y=1/2x+4
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
If you're satisfied with the answer, then please mark me as Brainliest. Thank you.
9-3÷1/3+1
can you pleas solve this question
please hurry
Answer:
9
Step-by-step explanation:
pemdas
9-3÷1/3+1
division
3 and 1/3 becomes 1
we have 9-1+1
which simplifies to 9
Sally is paid to walk her neighbor’s dog every day.Every month she is paid she puts away $20 and saves the rest.Write an expression that represents the amount she will save in 6 months if she earns m dollars each month.If she’s paid $65 each month how much will she save in 6 months?
Answer: she would have saved 120$$
Step-by-step explanation:
If it takes 5 pounds of peanuts to make 9 jars of peanut butter, exactly how many pounds of peanuts is needed to make 24 jars of peanut butter?
Step-by-step explanation:
So it takes 5 pounds to make 9 jars of peanut butter and x pounds to make 24 jars of peanut. The equation is written as5pounds=9 jars
? =24 jars
Then you cross multiply /work it out as
5×24÷9
And your final answer will be
13 1/3 pounds
One oval weighs how much
Answer:
5.5
Step-by-step explanation:
11 divided by 2 is 5.5
NEED HELP ASAP!!!!!
Jeff and Ed are climbing a small mountain. The height Jeff climbed with respect to time is given by the function H(t) = -250|x − 4| + 1,000. Ed’s height with respect to time is modeled in the graph.
Ed and Jeff both climb to the mountain’s peak and then climb back down.
The maximum height of the mountain is (blank) feet. Jeff takes (blank) hour(s) less than Ed to go up all the way and come back down.
Answer:
Step-by-step explanation:
The maximum height of the mountain is 1000 feet. Jeff takes 10 hour(s) less than Ed to go up all the way and come back down
What percentage of 50 is 12?
Answer:
that would be 24%
Step-by-step explanation:
Now we can see that our fraction is 24/100, which means that 12/50 as a percentage is 24%.
Answer:
24%
Step-by-step explanation:
the fraction form is 24/100, meaning the percentage is 24% put of 100%
Determine if the relation below is a function.
(-3,2) ; (-3,5) ; (-3,-2) ; (-3,8)
Group of answer choices
Yes, this relation is a function.
No, this relation is not a function.
Answer: No, this relation is not a function.
Step-by-step explanation: Beca the x’s value’s repeat
Which two lines are parallel?
1. 5y=-3x-5
2. 5y = -1-3x
3. 3y - 2x = -1
A. 1 and 3
B. 2 and 3
C. None of the lines are parallel.
D. 1 and 2
A school bookstore has the following items for sale.
A sign that shows that a notebook costs 2 dollars and 89 cents, a pencil costs 79 cents, and a folder costs 1 dollar and 35 cents.
Part A
How much will Luke pay for 4 notebooks? Enter your answer in the box.
$
11.56
Part B
Traci uses partial products to find the cost of 14 pencils.
A piece of paper has the following text writte on it. 14 pencils at 79 cents each. 10 times 0.7 equals 7. 10 times 0.9 equals 9. 4 times 0.7 equals 2.8. 4 times 0.9 equals 3.6. 7 dollars plus 9 dollars plus 2 dollars and 80 cents plus 3 dollars and 60 cents equals 22 dollars and 40 cents.
Which explains whether or not Traci’s partial products are correct?
Traci's partial products are not correct. She should have multiplied 10 × 0.09 and 4 × 0.09. The actual cost is $11.06.
Traci's partial products are not correct. She should have multiplied 10 × 0.07 and 4 × 0.07. The actual cost is $13.58.
Traci's partial products are not correct. She should have multiplied 4 × 0.07 and 4 × 0.09. The actual cost is $16.64.
Traci's partial products are correct. The actual cost is $22.40.
$22.85 for Shiping 3 pound package
and $40 for shiping, lo pound package
wnteequation that gives total cost of
shipping package as a function of the
Weight of the package.
find the cost of shipping a 15-pound package.
Answer:
Step-by-step explanation:BASE+3X=22.85
BASE+10X=40
BASE=40-10X NOW SUBSTITUTE (40-10X)FOR BASE IN THE FIRST EQUATION
40-10X+3X=22.85
-7X=22.85-40
-7X=-17.15
X=-17.15/-7
X=$2.45 IS THE PRICE FOR EACH POUND.
BASE+10*2.45=40
BASE+24.50=40
BASE=40-24.50
BASE=15.50 IS THE BASE PRICE FOR THE DELIVERY.
PROOF
15.50+3*2.45=22.85
15.50+7.35=22.85
22.85=22.85
6 remainder 1 as a fraction
need help on this I need all work shown as well, the subject is on similar triangles
Answer:
10 in
Step-by-step explanation:
If you draw a line parallel to the side of the cone through the center of the 10-inch (radius) circle, you create a right triangle with one leg 10 inches and a hypotenuse of 20+10 = 30 inches. It is similar to the right triangle shown on the diagram with leg 10 inches. That means the distance from the center of the 10-inch (radius) ball to the bottom of the cone is 30 inches.
Subtract from that the 10-inch radius and the 10-inch diameter of the two bottom balls shown, and you find the distance from the base of the smallest ball to the bottom of the cone is 30 -10 -10 = 10 inches.
ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.
Answer:
20.
Step-by-step explanation:
We need to setup a proportion. We want the result to be 40% out of 50, meaning that we are solving for x:
4/10=x/50.
Cross-multiplying, we have 200 = 10x, and x = 20.
143 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 0 and 2 is added to the product. What is the
number?
Answer:
-71
Step-by-step explanation:
let 'n' = a number
2(143 + 2n) = 0n + 2
2(143 + 2n) = 2
143 + 2n = 1
2n = -142
n = -71
Janie flips a coin 70 times and records if it comes up heads. If getting heads is a success, what is the probability of a failure? 0. 2 0. 5 0. 7 1. 0.
The probability of a failure is 0.5
Probability is the likelihood or chance that an event will occur.Probability = Expected outcome/Total outcomeSince Janie flips a coin 70 times, then the total outcome is 70
The probability of getting a failure will be 50% of the total times;
Expected outcome = 50% of 70
Expected outcome = 35
Pr(a failure) = 35/70
Pr(a failure) = 0.5
Hence the probability of a failure is 0.5
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4. Harry is going to send some flowers to his wife. Summerfield Florist charges $1 per rose, plus
$39 for the vase. Grayson’s Flowers, in contrast, charges $3 per rose and $15 for the vase. If
Harry orders the bouquet with a certain number of roses, the cost will be the same with either
flower shop. How many roses would there be? What would the total cost be?
The number of roses purchased will be; 12 roses
The total cost of the bouquet is; $51
Let number of roses be x
For Summerfield florists;
At $1 per rose and $39 for the vase, cost is;
C = x + 39
For grayson's flowers;
At $3 per rose and $15 for the vase,total cost is;
C = 3x + 15
We are told when he orders a certain number of roses, the cost will be the same with each flower shop.
Thus;
x + 39 = 3x + 15
3x - x = 39 - 15
2x = 24
x = 24/2
x = 12
Total cost is;
C = 12 + 39
C = $51
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can somebody help me