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2 years ago

Abel is making brownies for a bake sale

Mathematics

1 answer:

Butoxors [25]2 years ago

3 0

Answer:

to make 45 brownies, abel needs 15 eggs,

abel needs 5 cups of flour to make 45 brownies

if abel uses 4 cups of sugar, he need to use 2 cups of cocoa powder

the recipe will make 3 brownies if abel only uses 1 egg

Step-by-step explanation:

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Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively

saveliy_v [14]

Answer:

Step-by-step explanation:

Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.

And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.

Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527

We will find the HCF of 391, 425 and 527 by prime factorization method.

391=17×23425=52×17527=17×31

Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.

So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.

Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.

8 0

2 years ago

Diego is solving the equation x^2-12x = 21

uysha [10]

Answer:

The solutions to the quadratic equations will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

Step-by-step explanation:

Given the expression

$x^2-12x\:=\:21$

Let us solve the equation by completing the square

$x^2-12x\:=\:21$

Add (-6)² to both sides

$x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2$

simplify

$x^2-12x+\left(-6\right)^2=57$

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

$x^2-12x+\left(-6\right)^2=\left(x-6\right)^2$

so the expression becomes

$\left(x-6\right)^2=57$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-6=\sqrt{57}$

add 6 to both sides

$x-6+6=\sqrt{57}+6$

Simplify

$x=\sqrt{57}+6$

also solving

$x-6=-\sqrt{57}$

add 6 to both sides

$x-6+6=-\sqrt{57}+6$

Simplify

$x=-\sqrt{57}+6$

Therefore, the solutions to the quadratic equation will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

5 0

2 years ago

Miguel bought 8 equally priced pens for $3.84.<br><br> How much will 15 of these pens cost?

Snezhnost [94]

Answer:

$7.20

Step-by-step explanation:

If 8 pens cost $3.84, we need to find out how much ojne pen costs.

To find out the cost of one pen we need to divide $3.84 by 8.

$3.84 / 8 = $0.48

1 pen cost $0.48

We then need to work out the cost of 15 pens. So from using the information that one pen costs $0.48 we can multiply that by 15 to find out the answer.

$0.48 x 15 = $7.20

15 pens cost $7.20

5 0

2 years ago

Javier drove 48 miles. This represents 60% of his entire trip. What is the total number of miles in Javier's trip?

musickatia [10]

Step-by-step explanation:

Call the full trip, x. Thus we can write 60% of x is 45, or .6x = 45 x = 45/.6 = 75 miles.

7 0

2 years ago

Pls help for brainly and points!

drek231 [11]

the answer is -7 i think

5 0

2 years ago

Read 2 more answers