factor the algebraic expression 16a + 10
The factored form of the expression 16a + 10 is 2(8a + 5).
To factor the expression 16a + 10, we can divide each term by the greatest common factor (GCF) of the expression.
The GCF of 16a and 10 is 2, so we can divide each term by 2 to get:
16a + 10 = 2(8a + 5)
Therefore, the factored form of the expression 16a + 10 is 2(8a + 5).
Use properties of addition to find 37+58 mentally.show your steps and identify the properties the you used
Associative property of addition commutative property or identity property show me steps plz
Answer:
To sum 37+58 mentally, we could first sum 30+50=80 and then sum the units, 80+7+8= 95.
But, if we have to show properties, we could separate first the numbers:
30 + 7 + 50 + 8.
Then, we apply commutative property to position like numbers aside:
30+50+7+8
Then, we apply associate property, to have a better order of the operation, which is easier to the mind:
(30+50) + (7+8)
Then, we sum each group:
80 + 15
At last, we sum again and have the result:
80+15=95.
Look at the following problem and solution given by a student: Abel, Belle, and Cindy have $408 altogether. Belle has $7 more than Cindy and $5 more than Abel. How much does Abel have?
Mark is using the ratio of 3 tablespoons of sugar to 2 tablespoons of milk in a recipe .what its the equivalent ratio if mark decides to increase the recipe
To maintain an equivalent ratio of sugar to milk when increasing a recipe, multiply both the sugar and milk amounts by the same factor. For example, multiplying by 5 results in a ratio of 15 tablespoons of sugar to 10 tablespoons of milk.
Explanation:If Mark is using a ratio of 3 tablespoons of sugar to 2 tablespoons of milk in a recipe and decides to increase the recipe, we need to maintain the same ratio for any quantity. An equivalent ratio can be found by multiplying both parts of the original ratio by the same number. For example, if Mark wanted to double the recipe, he would use 6 tablespoons of sugar and 4 tablespoons of milk (3 x 2 = 6 and 2 x 2 = 4), keeping the same ratio of 3:2.
To increase the recipe to any desired amount, Mark could use a conversion factor. For instance, if the original recipe makes 1 batch and Mark wants to make 5 batches, he multiplies both parts of the ratio by 5. The new ratio would be 15 tablespoons of sugar to 10 tablespoons of milk, as 3 x 5 = 15 and 2 x 5 = 10. This maintains the sweetness and consistency of the recipe across a larger volume.
An Olympic athlete can run 110 yards in 10 seconds. How fast in miles per hour can the athlete run?
Answer:
11
Step-by-step explanation:
Whats 8 yards : 40 feet in silliest form
Consider statement: If a quadrilateral is a rectangle then it is a parallelogram. Wright the inverse and contrapositive of the original statement. Are they true? Explain.
What value in the replacement set is a solution to this equation? 3(n+7)=48. Replacement set {8,9,10.
write an expression that can be used to multiply 6 x 198 mentally? please answer thanks!
It costs four dollars to enter the fair each ride costs $2.50 you have $21.50 how many rides can you go on?
one step equations, y-16=2
please give me answers
in the number 8,444 what is the relationship between the 4s? Think about the value of each 4.
The soccer team voted on what they wanted to eat. There are 20 members on the team. Six members voted for pizza, 10 voted for chicken, and the rest voted for hot dogs.
Which ratio represents the number of votes for hot dogs to chicken?
1/5
2/5
3/5
5/2
Answer : The ratio represents the number of votes for hot dogs to chicken is, [tex]\frac{2}{5}[/tex]
Step-by-step explanation : Given,
Number of members voted for pizza = 6
Number of members voted for chicken = 10
Number of members voted for hot dogs = 20 - (10 +6) = 4
Now we have to determine the ratio represents the number of votes for hot dogs to chicken.
[tex]\frac{\text{Number of members voted for hot dogs}}{\text{Number of members voted for chicken}}=\frac{4}{10}[/tex]
[tex]\frac{\text{Number of members voted for hot dogs}}{\text{Number of members voted for chicken}}=\frac{2}{5}[/tex]
Thus, the ratio represents the number of votes for hot dogs to chicken is, [tex]\frac{2}{5}[/tex]
At the farmers market each of the 94 vendors makes $502 in profit each weekend.How much profit will all vendors make on saturday
Write a real-world problem that can be represented by the inequality r + 32 (greater then or equal to sign) 56
The real-world problem involves maintaining a minimum safe temperature in an animal shelter that can be represented by the inequality r + 32 ≥ 56, which simplifies to r ≥ 24 after subtracting 32 from both sides.
Explanation:Consider a situation where r represents the room temperature in degrees Fahrenheit without accounting for wind chill or humidity, and the inequality r + 32 ≥ 56 represents the minimum safe temperature that must be maintained in an animal shelter to keep the animals comfortable during winter months.
To solve the inequality for r, we would subtract 32 from both sides:
So, the shelter must keep the room temperature at 24 degrees Fahrenheit or higher to ensure the animals' safety.
If we were to compare this with mathematical rules presented in LibreTexts, subtracting the same number from both sides of an inequality does not change the relationship, which is a standard procedure for solving inequalities.
Shane took a test that had a total of 21 items. He got about 3/4 of the test items correct. About how many items did he get correct?
Johanna uses 40 sheets of paper in 4 days. Her sister uses twice as much of paper in half the number of days. How many times more paper does her sister use.(please show work.)
Answer:
Step-by-step explanation:
the statue of liberty is 305.5 feet tall from the foundation of its pedestal to the top of its torch. Isla is building a model of the statue. the model will be one hundredth times as tall as the actual statue, how tall will the model be?
Answer: 3.055 feet
Step-by-step explanation:
Given : The statue of liberty is 305.5 feet tall from the foundation of its pedestal to the top of its torch.
Its model will be one hundredth times as tall as the actual statue.
Now , One hundredth = [tex]\dfrac{1}{100}=0.01[/tex]
According to the statement,
The height of the model will be = [tex]\dfrac{1}{100}\times\text{Height of original statue}[/tex]
[tex]=\dfrac{1}{100}\times305.5=3.055\text{ feet}[/tex]
Hence, the height of the model will be 3.055 feet.
A number is 42,300 when multiplied by 10. Find the product of this number and 500.
The product of the missing number (4,230) is 2,115,000
If a number is multiplied by 10, it will yield 42,300. To determine the missing number, 42,300 will be divided by 10.Further ExplanationTherefore let the missing number be X
Hence,
X = 42300 ÷ 10
X = 42300 / 10
X = 4,230
Therefore the missing number is 4230.
Recall, we are to find the product 4230 and 500. This process require that we multiply 4230 and 500.
Therefore, let the product of 4,230 and 500 be P
P = 4230 x 500
P = 2,115,000
Hence, the product of the missing number (4230) and 500 is 2,115,000.
The above math problem deals with numbers, and was solved with the aid of division and multiplication, which are functions of an order of operations known as BODMAS.
Division deals with splitting or dividing numerical values into different equal parts or groups. Multiplication on its part is the repeated adding of several numbers to derive a final numerical value.
LEARN MORE:
A number is 42,300 when multiplied by 10. find the product of this number and 500 https://brainly.com/question/624332Numbers: brainly.com/question/2906770KEYWORDS:
42,300500multipliedbodmasproductnumbersThe product of a mixed number between 4 and 5 and a fraction between 0 and 1 is always less than 4.Is this true or false.I thank you all for helping.Btw remember it says product.
Michelle made a bead necklace that was 14 inches long. The length of the necklace, in inches, is equal to 4 added to one-seventh the number of beads, b.
1/7b + 4 = 14
How many beads did Michelle use for her necklace?
70
17
35
700
Final answer:
Michelle used 70 beads to make her 14-inch long necklace, as determined by solving the equation 1/7b + 4 = 14 and isolating the variable b.
Explanation:
The question asks us to solve for the number of beads, b, in a necklace that is 14 inches long. The equation given is 1/7b + 4 = 14. We need to solve for b.
To solve for b, we first subtract 4 from both sides of the equation to get 1/7b = 10. Next, we multiply both sides by 7 to isolate b on one side of the equation, which gives us b = 70. Therefore, Michelle used 70 beads for her necklace.
Davie and Horatio are riding their motorbikes on a scenic tour that is 80 miles long. Davie rides at 20 miles per hour and leaves 90 minutes before Horatio. How fast must Horatio ride to finish at the same time as Davie?
Cody is selling chocolate and white chocolate candy bars for a school fundraiser. 30% of the candy bars sold have been white chocolate. If Cody has sold 24 white chocolate candy bars, how many total candy bars has he sold?
Answer:
80 total candy bars
Step-by-step explanation;
set up proportion
24
30/100
24 x 100=2400 divided by 30
=80
The total number of candy bars that he has sold is 80 candy bars.
Using this formula
Total sold candy bars=Number of candy bars sold/Percentage of candy bar sold
Where:
Number of candy bars sold=24 candy bars
Percentage of candy bar sold=30%
Let plug in the formula
Total sold candy bars =24/0.30
Total sold candy bars=80 candy bars
Inconclusion the total number of candy bars that he has sold is 80 candy bars.
Learn more here:
https://brainly.com/question/3598503
Which was a cause of the French and Indian War?
A.
disagreements between the French and British over land claims and the fur trade
B.
arguments about the prices Indians were paid for the furs they trapped for the British
C.
arguments between the French and the Indians over how to force the British out of the Ohio Valley
D.
disagreements between the French and the British over how land in North America should be used
Answer:
A.
disagreements between the French and British over land claims and the fur trade
Step-by-step explanation:
took the test(k12)
cereal cost 4.41 for 12.6 oz at this rate how much does 30 ounces of this cereal cost it better have gold dust in it
What are some examples of distrbutive property, asosiative property and idenity property. i always get them mixed up Help!!
jennifer say that 3-3 is equal to 5-5 is she correct explain why or why not.
If carrots were $0.50 less per pound how much would Victoria have paid for 8.5 pounds of carrots
Victoria would have paid $4.25 for 8.5 pounds of carrots if they were $0.50 less per pound.
Explanation:To find out how much Victoria would have paid for 8.5 pounds of carrots if they were $0.50 less per pound, we need to subtract $0.50 from the original price per pound and then multiply it by 8.5.
Let's say the original price per pound of carrots is $1.00. Subtracting $0.50 from it gives us $0.50. Multiplying $0.50 by 8.5 gives us $4.25.
Therefore, Victoria would have paid $4.25 for 8.5 pounds of carrots if they were $0.50 less per pound.
Show me a shape with:
-2 Right Angles
-2 Acute Angles
-One Reflex Angle
Please Don't Post " I don't know. "